Mathematical procedure that transforms a number of possibly correlated variables into a smaller number of uncorrelated variables called principal components.
A statistical analytic technique used with discrete dependent variables, concerned with separating sets of observed values and allocating new values. It is sometimes used instead of regression analysis.
The systematic identification and quantitation of all the metabolic products of a cell, tissue, organ, or organism under varying conditions. The METABOLOME of a cell or organism is a dynamic collection of metabolites which represent its net response to current conditions.
A set of statistical methods used to group variables or observations into strongly inter-related subgroups. In epidemiology, it may be used to analyze a closely grouped series of events or cases of disease or other health-related phenomenon with well-defined distribution patterns in relation to time or place or both.
A procedure consisting of a sequence of algebraic formulas and/or logical steps to calculate or determine a given task.
The statistical reproducibility of measurements (often in a clinical context), including the testing of instrumentation or techniques to obtain reproducible results. The concept includes reproducibility of physiological measurements, which may be used to develop rules to assess probability or prognosis, or response to a stimulus; reproducibility of occurrence of a condition; and reproducibility of experimental results.
A principle of estimation in which the estimates of a set of parameters in a statistical model are those quantities minimizing the sum of squared differences between the observed values of a dependent variable and the values predicted by the model.
A set of statistical methods for analyzing the correlations among several variables in order to estimate the number of fundamental dimensions that underlie the observed data and to describe and measure those dimensions. It is used frequently in the development of scoring systems for rating scales and questionnaires.
The dynamic collection of metabolites which represent a cell's or organism's net metabolic response to current conditions.
A device used to detect airborne odors, gases, flavors, volatile substances or vapors.
Assessment of psychological variables by the application of mathematical procedures.
The determination of the pattern of genes expressed at the level of GENETIC TRANSCRIPTION, under specific circumstances or in a specific cell.
Computer-based representation of physical systems and phenomena such as chemical processes.
Statistical formulations or analyses which, when applied to data and found to fit the data, are then used to verify the assumptions and parameters used in the analysis. Examples of statistical models are the linear model, binomial model, polynomial model, two-parameter model, etc.
Hybridization of a nucleic acid sample to a very large set of OLIGONUCLEOTIDE PROBES, which have been attached individually in columns and rows to a solid support, to determine a BASE SEQUENCE, or to detect variations in a gene sequence, GENE EXPRESSION, or for GENE MAPPING.
Predetermined sets of questions used to collect data - clinical data, social status, occupational group, etc. The term is often applied to a self-completed survey instrument.
Application of statistical procedures to analyze specific observed or assumed facts from a particular study.
A plant genus of the family PRIMULACEAE. It can cause CONTACT DERMATITIS. SAPONINS have been identified in the root.
In INFORMATION RETRIEVAL, machine-sensing or identification of visible patterns (shapes, forms, and configurations). (Harrod's Librarians' Glossary, 7th ed)
A set of techniques used when variation in several variables has to be studied simultaneously. In statistics, multivariate analysis is interpreted as any analytic method that allows simultaneous study of two or more dependent variables.
Computer-assisted processing of electric, ultrasonic, or electronic signals to interpret function and activity.
A mass-spectrometric technique that is used for microscopic chemical analysis. A beam of primary ions with an energy of 5-20 kiloelectronvolts (keV) bombards a small spot on the surface of the sample under ultra-high vacuum conditions. Positive and negative secondary ions sputtered from the surface are analyzed in a mass spectrometer in regards to their mass-to-charge ratio. Digital imaging can be generated from the secondary ion beams and their intensity can be measured. Ionic images can be correlated with images from light or other microscopy providing useful tools in the study of molecular and drug actions.
Methods developed to aid in the interpretation of ultrasound, radiographic images, etc., for diagnosis of disease.
Genotypic differences observed among individuals in a population.
Analysis of the intensity of Raman scattering of monochromatic light as a function of frequency of the scattered light.
A technique of inputting two-dimensional images into a computer and then enhancing or analyzing the imagery into a form that is more useful to the human observer.
A microanalytical technique combining mass spectrometry and gas chromatography for the qualitative as well as quantitative determinations of compounds.
A noninvasive technique that uses the differential absorption properties of hemoglobin and myoglobin to evaluate tissue oxygenation and indirectly can measure regional hemodynamics and blood flow. Near-infrared light (NIR) can propagate through tissues and at particular wavelengths is differentially absorbed by oxygenated vs. deoxygenated forms of hemoglobin and myoglobin. Illumination of intact tissue with NIR allows qualitative assessment of changes in the tissue concentration of these molecules. The analysis is also used to determine body composition.
The discipline studying genetic composition of populations and effects of factors such as GENETIC SELECTION, population size, MUTATION, migration, and GENETIC DRIFT on the frequencies of various GENOTYPES and PHENOTYPES using a variety of GENETIC TECHNIQUES.
A computer architecture, implementable in either hardware or software, modeled after biological neural networks. Like the biological system in which the processing capability is a result of the interconnection strengths between arrays of nonlinear processing nodes, computerized neural networks, often called perceptrons or multilayer connectionist models, consist of neuron-like units. A homogeneous group of units makes up a layer. These networks are good at pattern recognition. They are adaptive, performing tasks by example, and thus are better for decision-making than are linear learning machines or cluster analysis. They do not require explicit programming.
Theoretical representations that simulate the behavior or activity of genetic processes or phenomena. They include the use of mathematical equations, computers, and other electronic equipment.
Food that is grown or manufactured in accordance with nationally regulated production standards that include restrictions on the use of pesticides, non-organic fertilizers, genetic engineering, growth hormones, irradiation, antibiotics, and non-organic ingredients.
A field of biology concerned with the development of techniques for the collection and manipulation of biological data, and the use of such data to make biological discoveries or predictions. This field encompasses all computational methods and theories for solving biological problems including manipulation of models and datasets.
The outward appearance of the individual. It is the product of interactions between genes, and between the GENOTYPE and the environment.
Non-invasive method of demonstrating internal anatomy based on the principle that atomic nuclei in a strong magnetic field absorb pulses of radiofrequency energy and emit them as radiowaves which can be reconstructed into computerized images. The concept includes proton spin tomographic techniques.
Spectroscopic method of measuring the magnetic moment of elementary particles such as atomic nuclei, protons or electrons. It is employed in clinical applications such as NMR Tomography (MAGNETIC RESONANCE IMAGING).
Binary classification measures to assess test results. Sensitivity or recall rate is the proportion of true positives. Specificity is the probability of correctly determining the absence of a condition. (From Last, Dictionary of Epidemiology, 2d ed)
Statistical models in which the value of a parameter for a given value of a factor is assumed to be equal to a + bx, where a and b are constants. The models predict a linear regression.
The part of CENTRAL NERVOUS SYSTEM that is contained within the skull (CRANIUM). Arising from the NEURAL TUBE, the embryonic brain is comprised of three major parts including PROSENCEPHALON (the forebrain); MESENCEPHALON (the midbrain); and RHOMBENCEPHALON (the hindbrain). The developed brain consists of CEREBRUM; CEREBELLUM; and other structures in the BRAIN STEM.
A plant genus of the family FABACEAE. Members of this genus can cause CONTACT DERMATITIS.
The fleshy or dry ripened ovary of a plant, enclosing the seed or seeds.
Signal and data processing method that uses decomposition of wavelets to approximate, estimate, or compress signals with finite time and frequency domains. It represents a signal or data in terms of a fast decaying wavelet series from the original prototype wavelet, called the mother wavelet. This mathematical algorithm has been adopted widely in biomedical disciplines for data and signal processing in noise removal and audio/image compression (e.g., EEG and MRI).
A single nucleotide variation in a genetic sequence that occurs at appreciable frequency in the population.
The science dealing with the earth and its life, especially the description of land, sea, and air and the distribution of plant and animal life, including humanity and human industries with reference to the mutual relations of these elements. (From Webster, 3d ed)
Theory and development of COMPUTER SYSTEMS which perform tasks that normally require human intelligence. Such tasks may include speech recognition, LEARNING; VISUAL PERCEPTION; MATHEMATICAL COMPUTING; reasoning, PROBLEM SOLVING, DECISION-MAKING, and translation of language.
Products resulting from the conversion of one language to another.
A statistical technique that isolates and assesses the contributions of categorical independent variables to variation in the mean of a continuous dependent variable.
Sequential operating programs and data which instruct the functioning of a digital computer.
Learning algorithms which are a set of related supervised computer learning methods that analyze data and recognize patterns, and used for classification and regression analysis.
Reference points located by visual inspection, palpation, or computer assistance, that are useful in localizing structures on or within the human body.
Any visible result of a procedure which is caused by the procedure itself and not by the entity being analyzed. Common examples include histological structures introduced by tissue processing, radiographic images of structures that are not naturally present in living tissue, and products of chemical reactions that occur during analysis.
An analysis comparing the allele frequencies of all available (or a whole GENOME representative set of) polymorphic markers in unrelated patients with a specific symptom or disease condition, and those of healthy controls to identify markers associated with a specific disease or condition.
Regular course of eating and drinking adopted by a person or animal.
Imaging techniques used to colocalize sites of brain functions or physiological activity with brain structures.
Individuals classified according to their sex, racial origin, religion, common place of living, financial or social status, or some other cultural or behavioral attribute. (UMLS, 2003)
The relationships of groups of organisms as reflected by their genetic makeup.
Elements of limited time intervals, contributing to particular results or situations.
The sebaceous glands situated on the inner surface of the eyelids between the tarsal plates and CONJUNCTIVA.
Acquired or learned food preferences.
An analytical method used in determining the identity of a chemical based on its mass using mass analyzers/mass spectrometers.
A spectroscopic technique in which a range of wavelengths is presented simultaneously with an interferometer and the spectrum is mathematically derived from the pattern thus obtained.
The restriction of a characteristic behavior, anatomical structure or physical system, such as immune response; metabolic response, or gene or gene variant to the members of one species. It refers to that property which differentiates one species from another but it is also used for phylogenetic levels higher or lower than the species.
Procedures for finding the mathematical function which best describes the relationship between a dependent variable and one or more independent variables. In linear regression (see LINEAR MODELS) the relationship is constrained to be a straight line and LEAST-SQUARES ANALYSIS is used to determine the best fit. In logistic regression (see LOGISTIC MODELS) the dependent variable is qualitative rather than continuously variable and LIKELIHOOD FUNCTIONS are used to find the best relationship. In multiple regression, the dependent variable is considered to depend on more than a single independent variable.
Improvement of the quality of a picture by various techniques, including computer processing, digital filtering, echocardiographic techniques, light and ultrastructural MICROSCOPY, fluorescence spectrometry and microscopy, scintigraphy, and in vitro image processing at the molecular level.
Analysis based on the mathematical function first formulated by Jean-Baptiste-Joseph Fourier in 1807. The function, known as the Fourier transform, describes the sinusoidal pattern of any fluctuating pattern in the physical world in terms of its amplitude and its phase. It has broad applications in biomedicine, e.g., analysis of the x-ray crystallography data pivotal in identifying the double helical nature of DNA and in analysis of other molecules, including viruses, and the modified back-projection algorithm universally used in computerized tomography imaging, etc. (From Segen, The Dictionary of Modern Medicine, 1992)
The SKELETON of the HEAD including the FACIAL BONES and the bones enclosing the BRAIN.
The genetic constitution of the individual, comprising the ALLELES present at each GENETIC LOCUS.
One of the HISTAMINE H1 ANTAGONISTS with little sedative action. It is used in treatment of hay fever, rhinitis, allergic dermatoses, and pruritus.
Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment.
The properties, processes, and behavior of biological systems under the action of mechanical forces.
The science and art of collecting, summarizing, and analyzing data that are subject to random variation. The term is also applied to the data themselves and to the summarization of the data.
A coordinated international effort to identify and catalog patterns of linked variations (HAPLOTYPES) found in the human genome across the entire human population.
Continuous frequency distribution of infinite range. Its properties are as follows: 1, continuous, symmetrical distribution with both tails extending to infinity; 2, arithmetic mean, mode, and median identical; and 3, shape completely determined by the mean and standard deviation.
A plant species of the Salvia genus known as a spice and medicinal plant.
NMR spectroscopy on small- to medium-size biological macromolecules. This is often used for structural investigation of proteins and nucleic acids, and often involves more than one isotope.
Measurable and quantifiable biological parameters (e.g., specific enzyme concentration, specific hormone concentration, specific gene phenotype distribution in a population, presence of biological substances) which serve as indices for health- and physiology-related assessments, such as disease risk, psychiatric disorders, environmental exposure and its effects, disease diagnosis, metabolic processes, substance abuse, pregnancy, cell line development, epidemiologic studies, etc.
Studies in which the presence or absence of disease or other health-related variables are determined in each member of the study population or in a representative sample at one particular time. This contrasts with LONGITUDINAL STUDIES which are followed over a period of time.
Studies which start with the identification of persons with a disease of interest and a control (comparison, referent) group without the disease. The relationship of an attribute to the disease is examined by comparing diseased and non-diseased persons with regard to the frequency or levels of the attribute in each group.
Organic compounds that have a relatively high VAPOR PRESSURE at room temperature.
Recording of electric currents developed in the brain by means of electrodes applied to the scalp, to the surface of the brain, or placed within the substance of the brain.
The act, process, or result of passing from one place or position to another. It differs from LOCOMOTION in that locomotion is restricted to the passing of the whole body from one place to another, while movement encompasses both locomotion but also a change of the position of the whole body or any of its parts. Movement may be used with reference to humans, vertebrate and invertebrate animals, and microorganisms. Differentiate also from MOTOR ACTIVITY, movement associated with behavior.
A computer simulation developed to study the motion of molecules over a period of time.
Theoretical representations that simulate the behavior or activity of systems, processes, or phenomena. They include the use of mathematical equations, computers, and other electronic equipment.
The production of offspring by selective mating or HYBRIDIZATION, GENETIC in animals or plants.
The process of generating three-dimensional images by electronic, photographic, or other methods. For example, three-dimensional images can be generated by assembling multiple tomographic images with the aid of a computer, while photographic 3-D images (HOLOGRAPHY) can be made by exposing film to the interference pattern created when two laser light sources shine on an object.
The pattern of GENE EXPRESSION at the level of genetic transcription in a specific organism or under specific circumstances in specific cells.
Genetic loci associated with a QUANTITATIVE TRAIT.
Electrophoresis in which various denaturant gradients are used to induce nucleic acids to melt at various stages resulting in separation of molecules based on small sequence differences including SNPs. The denaturants used include heat, formamide, and urea.
The study, control, and application of the conduction of ELECTRICITY through gases or vacuum, or through semiconducting or conducting materials. (McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed)
Complex sets of enzymatic reactions connected to each other via their product and substrate metabolites.
Extensive collections, reputedly complete, of facts and data garnered from material of a specialized subject area and made available for analysis and application. The collection can be automated by various contemporary methods for retrieval. The concept should be differentiated from DATABASES, BIBLIOGRAPHIC which is restricted to collections of bibliographic references.
A phenotypically recognizable genetic trait which can be used to identify a genetic locus, a linkage group, or a recombination event.
The monitoring of the level of toxins, chemical pollutants, microbial contaminants, or other harmful substances in the environment (soil, air, and water), workplace, or in the bodies of people and animals present in that environment.
A phase transition from liquid state to gas state, which is affected by Raoult's law. It can be accomplished by fractional distillation.
Examination of urine by chemical, physical, or microscopic means. Routine urinalysis usually includes performing chemical screening tests, determining specific gravity, observing any unusual color or odor, screening for bacteriuria, and examining the sediment microscopically.
A country spanning from central Asia to the Pacific Ocean.
A characteristic showing quantitative inheritance such as SKIN PIGMENTATION in humans. (From A Dictionary of Genetics, 4th ed)
The study, based on direct observation, use of statistical records, interviews, or experimental methods, of actual practices or the actual impact of practices or policies.
A coordinated effort of researchers to map (CHROMOSOME MAPPING) and sequence (SEQUENCE ANALYSIS, DNA) the human GENOME.
A country in western Europe bordered by the Atlantic Ocean, the English Channel, the Mediterranean Sea, and the countries of Belgium, Germany, Italy, Spain, Switzerland, the principalities of Andorra and Monaco, and by the duchy of Luxembourg. Its capital is Paris.
A meshlike structure composed of interconnecting nerve cells that are separated at the synaptic junction or joined to one another by cytoplasmic processes. In invertebrates, for example, the nerve net allows nerve impulses to spread over a wide area of the net because synapses can pass information in any direction.
Tests designed to assess neurological function associated with certain behaviors. They are used in diagnosing brain dysfunction or damage and central nervous system disorders or injury.
Fermented juice of fresh grapes or of other fruit or plant products used as a beverage.
Social and economic factors that characterize the individual or group within the social structure.
The systematic study of the complete complement of proteins (PROTEOME) of organisms.
A functional system which includes the organisms of a natural community together with their environment. (McGraw Hill Dictionary of Scientific and Technical Terms, 4th ed)
The systematic arrangement of entities in any field into categories classes based on common characteristics such as properties, morphology, subject matter, etc.
Databases devoted to knowledge about specific genes and gene products.

Feature selection for DNA methylation based cancer classification. (1/3813)

Molecular portraits, such as mRNA expression or DNA methylation patterns, have been shown to be strongly correlated with phenotypical parameters. These molecular patterns can be revealed routinely on a genomic scale. However, class prediction based on these patterns is an under-determined problem, due to the extreme high dimensionality of the data compared to the usually small number of available samples. This makes a reduction of the data dimensionality necessary. Here we demonstrate how phenotypic classes can be predicted by combining feature selection and discriminant analysis. By comparing several feature selection methods we show that the right dimension reduction strategy is of crucial importance for the classification performance. The techniques are demonstrated by methylation pattern based discrimination between acute lymphoblastic leukemia and acute myeloid leukemia.  (+info)

Separation of samples into their constituents using gene expression data. (2/3813)

Gene expression measurements are a powerful tool in molecular biology, but when applied to heterogeneous samples containing more than one cellular type the results are difficult to interpret. We present here a new approach to this problem allowing to deduce the gene expression profile of the various cellular types contained in a set of samples directly from the measurements taken on the whole sample.  (+info)

The main biological determinants of tumor line taxonomy elucidated by a principal component analysis of microarray data. (3/3813)

By using principal components analysis (PCA) we demonstrate here that the information relevant to tumor line classification linked to the activity of 1375 genes expressed in 60 tumor cell lines can be reproduced by only five independent components. These components can be interpreted as cell motility and migration, cellular trafficking and endo/exocytosis, and epithelial character. PCA, at odds with cluster analysis methods routinely used in microarray analysis, allows for the participation of individual genes to multiple biochemical pathways, while assigning to each cell line a quantitative score reflecting fundamental biological functions.  (+info)

High-resolution metabolic phenotyping of genetically and environmentally diverse potato tuber systems. Identification of phenocopies. (4/3813)

We conducted a comprehensive metabolic phenotyping of potato (Solanum tuberosum L. cv Desiree) tuber tissue that had been modified either by transgenesis or exposure to different environmental conditions using a recently developed gas chromatography-mass spectrometry profiling protocol. Applying this technique, we were able to identify and quantify the major constituent metabolites of the potato tuber within a single chromatographic run. The plant systems that we selected to profile were tuber discs incubated in varying concentrations of fructose, sucrose, and mannitol and transgenic plants impaired in their starch biosynthesis. The resultant profiles were then compared, first at the level of individual metabolites and then using the statistical tools hierarchical cluster analysis and principal component analysis. These tools allowed us to assign clusters to the individual plant systems and to determine relative distances between these clusters; furthermore, analyzing the loadings of these analyses enabled identification of the most important metabolites in the definition of these clusters. The metabolic profiles of the sugar-fed discs were dramatically different from the wild-type steady-state values. When these profiles were compared with one another and also with those we assessed in previous studies, however, we were able to evaluate potential phenocopies. These comparisons highlight the importance of such an approach in the functional and qualitative assessment of diverse systems to gain insights into important mediators of metabolism.  (+info)

Percent G+C profiling accurately reveals diet-related differences in the gastrointestinal microbial community of broiler chickens. (5/3813)

Broiler chickens from eight commercial farms in Southern Finland were analyzed for the structure of their gastrointestinal microbial community by a nonselective DNA-based method, percent G+C-based profiling. The bacteriological impact of the feed source and in-farm whole-wheat amendment of the diet was assessed by percent G+C profiling. Also, a phylogenetic 16S rRNA gene (rDNA)-based study was carried out to aid in interpretation of the percent G+C profiles. This survey showed that most of the 16S rDNA sequences found could not be assigned to any previously known bacterial genus or they represented an unknown species of one of the taxonomically heterogeneous genera, such as Ruminococcus or Clostridium. The data from bacterial community profiling were analyzed by t-test, multiple linear regression, and principal-component statistical approaches. The percent G+C profiling method with appropriate statistical analyses detected microbial community differences smaller than 10% within each 5% increment of the percent G+C profiles. Diet turned out to be the strongest determinant of the cecal bacterial community structure. Both the source of feed and local feed amendment changed the bacteriological profile significantly, whereas profiles of individual farms with identical feed regimens hardly differed from each other. This suggests that the management of typical Finnish farms is relatively uniform or that hygiene on the farm, in fact, has little impact on the structure of the cecal bacterial community. Therefore, feed compounders should have a significant role in the modulation of gut microflora and consequently in prevention of gastrointestinal disorders in farm animals.  (+info)

Independent representations of limb axis length and orientation in spinocerebellar response components. (6/3813)

Dorsal spinocerebellar tract (DSCT) neurons transmit sensory signals to the cerebellum that encode global hindlimb parameters, such as the hindlimb end-point position and its direction of movement. Here we use a population analysis approach to examine further the characteristics of DSCT neuronal responses during continuous movements of the hind foot. We used a robot to move the hind paw of anesthetized cats through the trajectories of a step or a figure-8 footpath in a parasagittal plane. Extracellular recordings from 82 cells converted to cycle histograms provided the basis for a principal-component analysis to determine the common features of the DSCT movement responses. Five principal components (PCs) accounted for about 80% of the total variance in the waveforms across units. The first two PCs accounted for about 60% of the variance and they were highly robust across samples. We examined the relationship between the responses and limb kinematic parameters by correlating the PC waveforms with waveforms of the joint angle and limb axis trajectories using multivariate linear regression models. Each PC waveform could be at least partly explained by a linear relationship to joint-angle trajectories, but except for the first PC, they required multiple angles. However, the limb axis parameters more closely related to both the first and second PC waveforms. In fact, linear regression models with limb axis length and orientation trajectories as predictors explained 94% of the variance in both PCs, and each was related to a particular linear combination of position and velocity. The first PC correlated with the limb axis orientation and orientation velocity trajectories, whereas second PC with the length and length velocity trajectories. These combinations were found to correspond to the dynamics of muscle spindle responses. The first two PCs were also most representative of the data set since about half the DSCT responses could be at least 85% accounted for by weighted linear combinations of these two PCs. Higher-order PCs were unrelated to limb axis trajectories and accounted instead for different dynamic components of the responses. The findings imply that an explicit and independent representation of the limb axis length and orientation may be present at the lowest levels of sensory processing in the spinal cord.  (+info)

Reliability, validity and psychometric properties of the Greek translation of the Zung Depression Rating Scale. (7/3813)

INTRODUCTION: The current study aimed to assess the reliability, validity and psychometric properties of the Greek translation of the Zung Depression Rating Scale (ZDRS). METHODS: The study sample included 40 depressed patients 29.65 +/- 9.38 years old and 120 normal comparison subjects 27.23 +/- 10.62 years old. In 20 of them (12 patients and 8 comparison subjects) the instrument was re-applied 1-2 days later. Translation and Back Translation was made. Clinical Diagnosis was reached by consensus of two examiners with the use of the SCAN v.2.0 and the IPDE. Statistical Analysis included ANOVA, the Pearson Product Moment Correlation Coefficient, Principal Components Analysis and Discriminant Function Analysis and the calculation of Cronbach's alpha (alpha) RESULTS: Both Sensitivity and specificity exceed 90.00 at 44/45, Chronbach's alpha for the total scale was equal to 0.09, suggesting that the scale covers a broad spectrum of symptoms. Factor analysis revealed five factors (anxiety-depression, thought content, gastrenterological symptoms, irritability and social-interpersonal functioning). The test-retest reliability was satisfactory (Pearson's R between 0.92). CONCLUSION: The ZDRS-Greek translation is both reliable and valid and is suitable for clinical and research use with satisfactory properties. Its properties are similar to those reported in the international literature, although the literature is limited. However one should always have in mind the limitations inherent in the use of self-report scales.  (+info)

Analysis of large-scale gene expression data. (8/3813)

DNA microarray technology has resulted in the generation of large complex data sets, such that the bottleneck in biological investigation has shifted from data generation, to data analysis. This review discusses some of the algorithms and tools for the analysis and organisation of microarray expression data, including clustering methods, partitioning methods, and methods for correlating expression data to other biological data.  (+info)

TY - JOUR. T1 - Quantifying Individual Brain Connectivity with Functional Principal Component Analysis for Networks. AU - Petersen, Alexander. AU - Zhao, Jianyang. AU - Carmichael, Owen. AU - Müller, Hans Georg. PY - 2016/9/1. Y1 - 2016/9/1. N2 - In typical functional connectivity studies, connections between voxels or regions in the brain are represented as edges in a network. Networks for different subjects are constructed at a given graph density and are summarized by some network measure such as path length. Examining these summary measures for many density values yields samples of connectivity curves, one for each individual. This has led to the adoption of basic tools of functional data analysis, most commonly to compare control and disease groups through the average curves in each group. Such group differences, however, neglect the variability in the sample of connectivity curves. In this article, the use of functional principal component analysis (FPCA) is demonstrated to enrich ...
Principle component analysis determines the direction of maximum variance of data for a given feature set.True or false Principle component analysis determines the direction of maximum var
One of the fundamental problems in time course gene expression data analysis is to identify genes associated with a biological process or a particular stimulus of interest, like a treatment or virus infection. Most of the existing methods for this problem are designed for data with longitudinal replicates. But in reality, many time course gene experiments have no replicates or only have a small number of independent replicates. We focus on the case without replicates and propose a new method for identifying differentially expressed genes by incorporating the functional principal component analysis (FPCA) into a hypothesis testing framework. The data-driven eigenfunctions allow a flexible and parsimonious representation of time course gene expression trajectories, leaving more degrees of freedom for the inference compared to that using a prespecified basis. Moreover, the information of all genes is borrowed for individual gene inferences. The proposed approach turns out to be more powerful in identifying
A non-iterative spatial phase-shifting algorithm based on principal component analysis (PCA) is proposed to directly extract the phase from only a single spatial carrier interferogram. Firstly, we compose a set of phase-shifted fringe patterns from the original spatial carrier interferogram shifting by one pixel their starting position. Secondly, two uncorrelated quadrature signals that correspond to the first and second principal components are extracted from the phase-shifted interferograms by the PCA algorithm. Then, the modulating phase is calculated from the arctangent function of the two quadrature signals. Meanwhile, the main factors that may influence the performance of the proposed method are analyzed and discussed, such as the level of random noise, the carrier-frequency values and the angle of carrier-frequency of fringe pattern. Numerical simulations and experiments are given to demonstrate the performance of the proposed method and the results show that the proposed method is fast, ...
Autism is often diagnosed during preschool or toddled age. This diagnosis often depends on behavioral test. It is known that individuals with autism have abnormal brain signals different from typical persons yet this difference in signals is slight that it is often difficult to distinguish from the normal. However, Electroencephalogram (EEG) signals have a lot of information which reflect the behavior of brain functions which therefore captures the marker for autism, help to early diagnose and speed the treatment. This work investigates and compares classification process for autism in open-eyed tasks and motor movement by using Principle Component Analysis (PCA) for feature extracted in Time-frequency domain to reduce data dimension. The results show that the proposed method gives accuracy in the range 90-100% for autism and normal children in motor task and around 90% to detect normal in open-eyed tasks though difficult to detect autism in this task.. ...
Time series is a series of observations over time. When there is one observation at each time instance, it is called a univariate time series (UTS), and when there are more than one observations, it is called a multivariate time series (MTS). While UTS datasets have been extensively explored, MTS datasets have not been broadly investigated. The techniques for UTS datasets, however, cannot be simply extended for MTS datasets, since multivariate time series is different from multiple univariate time series. That is, an MTS item may not be broken into multiple univariate time series and be separately analyzed, because this will result in the loss of the correlation information within the multivariate time series.; In this dissertation, we introduce a set of techniques for multivariate time series analysis based on principal component analysis (PCA). As a similarity measure for MTS datasets, we present Eros (Extended Frobenius norm). Eros computes the similarity between two MTS items by comparing ...
The aim of this study was to forecast the returns for the Stock Exchange of Thailand (SET) Index by adding some explanatory variables and stationary Autoregressive Moving-Average order p and q (ARMA (p, q)) in the mean equation of returns. In addition, we used Principal Component Analysis (PCA) to remove possible complications caused by multicollinearity. Afterwards, we forecast the volatility of the returns for the SET Index. Results showed that the ARMA (1,1), which includes multiple regression based on PCA, has the best performance. In forecasting the volatility of returns, the GARCH model performs best for one day ahead; and the EGARCH model performs best for five days, ten days and twenty-two days ahead.
When the number of training samples is limited, feature reduction plays an important role in classification of hyperspectral images. In this paper, we propose a supervised feature extraction method based on discriminant analysis (DA) which uses the first principal component (PC1) to weight the scatter matrices. The proposed method, called DA-PC1, copes with the small sample size problem and has not the limitation of linear discriminant analysis (LDA) in the number of extracted features. In DA-PC1, the dominant structure of distribution is preserved by PC1 and the class separability is increased by DA. The experimental results show the good performance of DA-PC1 compared to some state-of-the-art feature extraction methods.
This MATLAB function performs principal component analysis on the square covariance matrix V and returns the principal component coefficients, also known as loadings.
Kinetic modeling using a reference region is a common method for the analysis of dynamic PET studies. Available methods for outlining regions of interest representing reference regions are usually time-consuming and difficult and tend to be subjective; therefore, MRI is used to help physicians and experts to define regions of interest with higher precision. The current work introduces a fast and automated method to delineate the reference region of images obtained from an N-methyl-(11)C-2-(4-methylaminophenyl)-6-hydroxy-benzothiazole ((11)C-PIB) PET study on Alzheimer disease patients and healthy controls using a newly introduced masked volumewise principal-component analysis.. METHODS: The analysis was performed on PET studies from 22 Alzheimer disease patients (baseline, follow-up, and test/retest studies) and 4 healthy controls, that is, a total of 26 individual scans. The second principal-component images, which illustrate the kinetic behavior of the tracer in gray matter of the cerebellar ...
Given a set of points in Euclidean space, the first principal component corresponds to a line that passes through the multidimensional mean and minimizes the sum of squares of the distances of the points from the line. The second principal component corresponds to the same concept after all correlation with the first principal component has been subtracted from the points. The singular values (in Σ) are the square roots of the eigenvalues of the matrix XTX. Each eigenvalue is proportional to the portion of the variance (more correctly of the sum of the squared distances of the points from their multidimensional mean) that is associated with each eigenvector. The sum of all the eigenvalues is equal to the sum of the squared distances of the points from their multidimensional mean. PCA essentially rotates the set of points around their mean in order to align with the principal components. This moves as much of the variance as possible (using an orthogonal transformation) into the first few ...
I think that what you describe is a standard application of multivariate functional data clustering. In the context of multivariate functional data each data unit is treated as the relation of a $d$-dimensional stochastic (often Gaussian) process $X := ( X_1, \dots , X_d )$.. Jacques & Preda (the authors of the nice survey paper you attach) have (somewhat) recently published a paper on Model-based clustering for multivariate functional data (2014) which extends their earlier work on Clustering multivariate functional data (2012). Approximately at the same time Chiou et al. also on Multivariate functional principal component analysis: A normalization approach (2014). Note that the two approach are quite different; Chious approach has a particular (very flexible) parametric association between the curve-samples while Jacques & Preda is much more data-driven.. Both of these works are based on multivariate functional principal component analysis (MvFPCA). Earlier applications where alluded in ...
Aiming at the problem that the evaluation model had proposed by researchers to evaluate the drivability of a vehicle in the process of engine start to exist poor stability and poor accuracy. In this paper, a drivability evaluation model combined with principal component analysis and support vector r
TY - GEN. T1 - A novel dimensionality reduction technique based on independent component analysis for modeling microarray gene expression data. AU - Liu, Han. AU - Kustra, Rafal. AU - Zhang, Ji. PY - 2004/12/1. Y1 - 2004/12/1. N2 - DNA microarray experiments generating thousands of gene expression measurements, are being used to gather information from tissue and cell samples regarding gene expression differences that will be useful in diagnosing disease. But one challenge of microarray studies is the fact that the number n of samples collected is relatively small compared to the number p of genes per sample which are usually in thousands. In statistical terms this very large number of predictors compared to a small number of samples or observations makes the classification problem difficult. This is known as the curse of dimensionality problem. An efficient way to solve this problem is by using dimensionality reduction techniques. Principle Component Analysis(PCA) is a leading method for ...
Background: Bacteria employ a variety of adaptation strategies during the course of chronic infections. Understanding bacterial adaptation can facilitate the identification of novel drug targets for better treatment of infectious diseases. Transcriptome profiling is a comprehensive and high-throughput approach for characterization of bacterial clinical isolates from infections. However, exploitation of the complex, noisy and high-dimensional transcriptomic dataset is difficult and often hindered by low statistical power. Results: In this study, we have applied two kinds of unsupervised analysis methods, principle component analysis (PCA) and independent component analysis (ICA), to extract and characterize the most informative features from transcriptomic dataset generated from cystic fibrosis (CF) Pseudomonas aeruginosa isolates. ICA was shown to be able to efficiently extract biological meaningful features from the transcriptomic dataset and improve clustering patterns of CF isolates. ...
NOTE: Where studies included discovery and validation cohorts, diagnostic metrics of the validation set included for analysis.. Abbreviations: EAC, esophageal adenocarcinoma; ESCC, esophageal squamo-cellular carcinoma; GAC, gastric adenocarcinoma; CRC, colorectal adenocarcinoma; UPLC-TQMS, ultra-performance liquid chromatography-triple quadrupole mass spectrometry; NMR, nuclear magnetic resonance spectroscopy; ESI-TOFMS, electrospray ionization time-of-flight mass spectrometry; RRLC, rapid relaxing liquid chromatography; GC-MS, gas chromatography mass spectrometry; HPLC, high-performance liquid chromatography; FTICR-MS, Fourier transform ion cyclotron mass spectrometry; MS/MS, tandem mass spectrometry; TQMRM, triple quadrupole multiple reaction monitoring; DI, direct ionization; SPME, solid phase microextraction; PLS-DA, partial least squares discriminant analysis; ROC, receiver operating characteristic curve; PCA, principle component analysis; OPLS-DA, orthogonal projection to latent structures ...
For anyone in need of a concise, introductory guide to principle components analysis, this book is a must. Through an effective use of simple mathematical geometrical and multiple real-life examples (such as crime statistics, indicators of drug abuse, and educational expenditures)--and by minimizing the use of matrix algebra--the reader can quickly master and put this technique to immediate use. In addition, the author shows how this technique can be used in tandem with other multivariate analysis techniques-such as multiple regression and discriminant analysis.. Flexible in his presentation, Dunteman speaks to students at differing levels, beginning or advanced, bringing them new material that is both accessible and useful.. Two of the best attributes of the book are the prolific use of good examples--primarily social science based--and the repetition basics. . . . This book is a useful addition to the work in this area.. --Issues in Researching Sexual Behavior Most academic researchers and ...
In recent years, many algorithms based on kernel principal component analysis (KPCA) have been proposed including kernel principal component regression (KPCR). KPCR can be viewed as a non-linearization of principal component regression (PCR) which uses the ordinary least squares (OLS) for estimating its regression coefficients. We use PCR to dispose the negative effects of multicollinearity in regression models. However, it is well known that the main disadvantage of OLS is its sensitiveness to the presence of outliers. Therefore, KPCR can be inappropriate to be used for data set containing outliers. In this paper, we propose a novel nonlinear robust technique using hybridization of KPCA and R-estimators. The proposed technique is compared to KPCR and gives better results than KPCR.
TY - JOUR. T1 - All sparse PCA models are wrong, but some are useful. Part I. T2 - Computation of scores, residuals and explained variance. AU - Camacho, J.. AU - Smilde, A. K.. AU - Saccenti, E.. AU - Westerhuis, J. A.. PY - 2020/1/15. Y1 - 2020/1/15. N2 - Sparse Principal Component Analysis (sPCA) is a popular matrix factorization approach based on Principal Component Analysis (PCA) that combines variance maximization and sparsity with the ultimate goal of improving data interpretation. When moving from PCA to sPCA, there are a number of implications that the practitioner needs to be aware of. A relevant one is that scores and loadings in sPCA may not be orthogonal. For this reason, the traditional way of computing scores, residuals and variance explained that is used in the classical PCA can lead to unexpected properties and therefore incorrect interpretations in sPCA. This also affects how sPCA components should be visualized. In this paper we illustrate this problem both theoretically and ...
It is important to manage leaks in water distribution systems by smart water technologies. In order to reduce the water loss, researches on the main factors of water pipe network affecting non-revenue water (NRW) are being actively carried out. In recent years, research has been conducted to estimate NRW using statistical analysis techniques such as Artificial Neural Network (ANN) and Principle Component Analysis (PCA). Research on identifying factors that affect NRW in the target area is actively underway. In this study, Principle components selected through Multiple Regression Analysis are reclassified and applied to NRW estimation using PCA-ANN. The results show that the principal components estimated through PCA are connected to the NRW estimation using ANN. The detailed NRW estimation methodology presented through the study, as a result of simulating PCA-ANN after selecting statistically significant factors by MRA, forward method showed higher NRW estimation accuracy than other MRA methods.
Background: In this paper we apply the principal-component analysis filter (Hotelling filter) to reduce noise fromdynamic positron-emission tomography (PET) patient data, for a number of different radio-tracer molecules. Wefurthermore show how preprocessing images with this filter improves parametric images created from suchdynamic sequence.We use zero-mean unit variance normalization, prior to performing a Hotelling filter on the slices of a dynamictime-series. The Scree-plot technique was used to determine which principal components to be rejected in thefilter process. This filter was applied to [11C]-acetate on heart and head-neck tumors, [18F]-FDG on liver tumors andbrain, and [11C]-Raclopride on brain. Simulations of blood and tissue regions with noise properties matched to realPET data, was used to analyze how quantitation and resolution is affected by the Hotelling filter. Summing varyingparts of a 90-frame [18F]-FDG brain scan, we created 9-frame dynamic scans with image statistics ...
Principal component analysis is a popular tool for performing dimensionality reduction in a dataset. PCA performs a linear transformation of a dataset (having possibly correlated variables) to a dimension of linearly uncorrelated variables (called principal components). This transformation aims to maximize the variance of the data. In practice, you would select a subset of the principal components to represent your dataset in a reduced dimension.. The Principal Component Analysis card provides a visual representation of a dataset in a reduced dimension.. ...
Inter-subject variability is a major hurdle for neuroimaging group-level inference, as it creates complex image patterns that are not captured by standard analysis models and jeopardizes the sensitivity of statistical procedures. A solution to this problem is to model random subjects effects by using the redundant information conveyed by multiple imaging contrasts. In this paper, we introduce a novel analysis framework, where we estimate the amount of variance that is fit by a random effects subspace learned on other images; we show that a principal component regression estimator outperforms other regression models and that it fits a significant proportion (10% to 25%) of the between-subject variability. This proves for the first time that the accumulation of contrasts in each individual can provide the basis for more sensitive neuroimaging group analyzes.
The common task in matrix completion (MC) and robust principle component analysis (RPCA) is to recover a low-rank matrix from a given data matrix. These problems gained great attention from various areas in applied sciences recently, especially after the publication of the pioneering works of Candès et al.. One fundamental result in MC and RPCA is that nuclear norm based convex optimizations lead to the exact low-rank matrix recovery under suitable conditions. In this paper, we extend this result by showing that strongly convex optimizations can guarantee the exact low-rank matrix recovery as well. The result in this paper not only provides sufficient conditions under which the strongly convex models lead to the exact low-rank matrix recovery, but also guides us on how to choose suitable parameters in practical algorithms.
A principal components analysis was carried out on male crania from the northeast quadrant of Africa and selected European and other African series. Individuals, not predefined groups, were the units of study, while nevertheless keeping group membership in evidence. The first principal component seems to largely capture size variation in crania from all of the regions. The same general morphometric trends were found to exist within the African and European crania, although there was some broad separation along a cline. Anatomically, the second principal component captures predominant trends denoting a broader to narrower nasal aperture combined with a similar shape change in the maxilla, an inverse relation between face-base lengths (projection) and base breadths, and a decrease in anterior base length relative to base breadth. The third principal component broadly describes trends within Africa and Europe: specifically, a change from a combination of a relatively narrower face and longer vault, ...
In this paper we proposed a novel classification system to distinguish among elderly subjects with Alzheimers disease (AD), mild cognitive impairment (MCI), and normal controls (NC). The method employed the magnetic resonance imaging (MRI) data of 178 subjects consisting of 97 NCs, 57 MCIs, and 24 ADs. First, all these three dimensional (3D) MRI images were preprocessed with atlasregistered normalization. Then, gray matter images were extracted and the 3D images were undersampled. Afterwards, principle component analysis was applied for feature extraction. In total, 20 principal components (PC) were extracted from 3D MRI data using singular value decomposition (SVD) algorithm, and 2 PCs were extracted from additional information (consisting of demographics, clinical examination, and derived anatomic volumes) using alternating least squares (ALS). On the basic of the 22 features, we constructed a kernel support vector machine decision tree (kSVM-DT). The error penalty parameter C and kernel ...
Indocyanine green (ICG) fluorescence imaging has been clinically used for noninvasive visualizations of vascular structures. We have previously developed a diagnostic system based on dynamic ICG fluorescence imaging for sensitive detection of vascular disorders. However, because high-dimensional raw data were used, the analysis of the ICG dynamics proved difficult. We used principal component analysis (PCA) in this study to extract important elements without significant loss of information. We examined ICG spatiotemporal profiles and identified critical features related to vascular disorders. PCA time courses of the first three components showed a distinct pattern in diabetic patients. Among the major components, the second principal component (PC2) represented arterial-like features. The explained variance of PC2 in diabetic patients was significantly lower than in normal controls. To visualize the spatial pattern of PCs, pixels were mapped with red, green, and blue channels. The PC2 score ...
The classical functional linear regression model (FLM) and its extensions, which are based on the assumption that all individuals are mutually independent, have been well studied and are used by many researchers. This independence assumption is sometimes violated in practice, especially when data with a network structure are collected in scientific disciplines including marketing, sociology and spatial economics. However, relatively few studies have examined the applications of FLM to data with network structures. We propose a novel spatial functional linear model (SFLM), that incorporates a spatial autoregressive parameter and a spatial weight matrix into FLM to accommodate spatial dependencies among individuals. The proposed model is relatively flexible as it takes advantage of FLM in handling high-dimensional covariates and spatial autoregressive (SAR) model in capturing network dependencies. We develop an estimation method based on functional principal component analysis (FPCA) and maximum
This chapter discusses several popular clustering functions and open source software packages in R and their feasibility of use on larger datasets. These will include the kmeans() function, the pvclust package, and the DBSCAN (density-based spatial clustering of applications with noise) package, which implement K-means, hierarchical, and density-based clustering, respectively. Dimension reduction methods such as PCA (principle component analysis) and SVD (singular value decomposition), as well as the choice of distance measure, are explored as methods to improve the performance of hierarchical and model-based clustering methods on larger datasets. These methods are illustrated through an application to a dataset of RNA-sequencing expression data for cancer patients obtained from the Cancer Genome Atlas Kidney Clear Cell Carcinoma (TCGA-KIRC) data collection from The Cancer Imaging Archive (TCIA).
We propose a simulated annealing algorithm (stochastic non-negative independent component analysis, SNICA) for blind decomposition of linear mixtures of non-negative sources with non-negative coefficients. The demixing is based on a Metropolis-type Monte Carlo search for least dependent components, with the mutual information between recovered components as a cost function and their non-negativity as a hard constraint. Elementary moves are shears in two-dimensional subspaces and rotations in three-dimensional subspaces. The algorithm is geared at decomposing signals whose probability densities peak at zero, the case typical in analytical spectroscopy and multivariate curve resolution. The decomposition performance on large samples of synthetic mixtures and experimental data is much better than that of traditional blind source separation methods based on principal component analysis (MILCA, FastICA, RADICAL) and chemometrics techniques (SIMPLISMA, ALS, BTEM). ...
In this study, comparison of academically advanced science students and gifted students in terms of attitude toward science and motivation toward science learning is aimed. The survey method was used for the data collection by the help of two different instruments: Attitude Toward Science scale and motivation toward science learning . Examination of reliability and validity of the scores on the instruments was conducted by using the principle component analysis with varimax rotation due to existence of a new group for validation of the instruments. The study involved 93 advanced science students and 12 gifted students who had higher IQ scores than 130 on WISC-R. The results of the study showed that the adapted instrument was valid and reliable to use for the measurements of motivation toward science learning in the context of advanced science classrooms. The comparisons of the groups in terms of the variables of the study showed that there is no statistically significant difference between the ...
Chaka sheep, named after Chaka Salt Lake, are adapted to a harsh, highly saline environment. They are known for their high-grade meat quality and are a valuable genetic resource in China. Furthermore, the Chaka sheep breed has been designated a geographical symbol of agricultural products by the Chinese Ministry of Agriculture. The genomes of 10 Chaka sheep were sequenced using next-generation sequencing, and compared to that of additional Chinese sheep breeds (Mongolian: Bayinbuluke and Tan; Tibetan: Oula sheep) to explore its population structure, genetic diversity and positive selection signatures. Principle component analysis and a neighbor-joining tree indicated that Chaka sheep significantly diverged from Bayinbuluke, Tan, and Oula sheep. Moreover, they were found to have descended from unique ancestors (K = 2 and K = 3) according to the structure analysis. The Chaka sheep genome demonstrated comparable genetic diversity from the other three breeds, as indicated by observed heterozygosity (Ho),
The Dniester-Carpathian region has attracted much attention from historians, linguists, and anthropologists, but remains insufficiently studied genetically. We have analyzed a set of autosomal polymorphic loci and Y-chromosome markers in six autochthonous Dniester-Carpathian population groups: 2 Moldavian, 1 Romanian, 1 Ukrainian and 2 Gagauz populations. To gain insight into the population history of the region, the data obtained in this study were compared with corresponding data for other populations of Western Eurasia. The analysis of 12 Alu human-specific polymorphisms in 513 individuals from the Dniester-Carpathian region showed a high degree of homogeneity among Dniester-Carpathian as well as southeastern European populations. The observed homogeneity suggests either a common ancestry of all southeastern European populations or a strong gene flow between them. Nevertheless, tree reconstruction and principle component analyses allow the distinction between Balkan-Carpathian (Macedonians, ...
This course is in two halves: machine learning and complex networks. We will begin with an introduction to the R language and to visualisation and exploratory data analysis. We will describe the mathematical challenges and ideas in learning from data. We will introduce unsupervised and supervised learning through theory and through application of commonly used methods (such as principle components analysis, k-nearest neighbours, support vector machines and others). Moving to complex networks, we will introduce key concepts of graph theory and discuss model graphs used to describe social and biological phenomena (including Erdos-Renyi graphs, small-world and scale-free networks). We will define basic metrics to characterise data-derived networks, and illustrate how networks can be a useful way to interpret data. This level 7 (Masters) version of the module will have additional extension material for self-study incorporated into the projects. This will require a deeper understanding of the subject ...
Active data screening is an integral part of many scientific activities, and mobile technologies have greatly facilitated this process by minimizing the reliance on large hardware instrumentation. In order to meet with the increasingly growing field of metabolomics and heavy workload of data processing, we designed the first remote metabolomic data screening platform for mobile devices. Two mobile applications (apps), XCMS Mobile and METLIN Mobile, facilitate access to XCMS and METLIN, which are the most important components in the computer-based XCMS Online platforms. These mobile apps allow for the visualization and analysis of metabolic data throughout the entire analytical process. Specifically, XCMS Mobile and METLIN Mobile provide the capabilities for remote monitoring of data processing, real time notifications for the data processing, visualization and interactive analysis of processed data (e.g., cloud plots, principle component analysis, box-plots, extracted ion chromatograms, and ...
We use spectral methods (SVD) to building statistical language models. The resulting vector models of language are then used to predict a variety of properties of words including their entity type (E.g., person, place, organization ...), their part of speech, and their meaning (or at least their word sense). Canonical Correlation Analysis, CCA, a generalization of Principle Component Analysis (PCA), gives context-oblivious vector representations of words. More sophisticated spectral methods are used to estimate Hidden Markov Models (HMMs) and generative parsing models. These methods give state estimates for words and phrases based on their contexts, and probabilites for word sequences. These again can be used to imrpove performance on many NLP tasks. Core to this work is the use of the Eigenword, a real-valued vector associated with a word that captures its meaning in the sense that distributionally similar words have similar eigenwords. Eigenwords are computed as the singular vectors of the ...
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Mass cytometry enabled the measurement of more than 30 intracellular and cell surface markers on each single cell, with an additional six channels reserved for metal barcoding for sample multiplexing.30 The convenient single tube labeling of multiplexed samples combined with semiautomatic analysis makes the technique highly efficient. We were able to recapitulate the expected hematologic response, and could also demonstrate the debulking of leukemic CD34 cells in the PB by immunophenotyping as early as one week after start of therapy. Importantly, by simultaneously probing key intracellular phosphorylation targets of the Bcr-Abl1 signaling network,32 we monitored changes in signal transduction of individual cell types for each patient undergoing TKI therapy. Unsupervised principle component analysis of these early changes in signal transduction allowed patients to be identified according to their BCR-ABL1, indicating a possible future prognostic impact of this approach.. The proportion of ...
The PM-bound metallic elements in 43 daily PM1 samples collected at Mount Tai during a summer campaign were analyzed by ICP-MS. The PM1 concentrations ranged between 11.02 and 83.71 µg m-3, with an average of 38.98 µg m-3, and were influenced by meteorological events, exhibiting an increasing trend in the early stage of rain, followed by a significant decrease denoting efficient scavenging. Higher elemental concentrations were detected at Mount Tai than at other overseas background sites. According to the enrichment factor (EF) and geo-accumulation index (Igeo) calculations, among the 16 considered elements, Mn, Al, Co, Sr, Mo, Fe, Ca, V, Ti and Ni in the PM1 were mainly of crustal origin, while Cu, Cr, As, Zn, Pb and Cd were primarily due to anthropogenic causes. Source identification via Pearson correlation analysis and principle component analysis showed that coal mining and coal burning activities, metal processing industries and vehicle emissions were common sources of heavy metals on Mount Tai;
Enhancers and promoters are cis-acting regulatory elements associated with lineage-specific gene expression. Previous studies showed that different categories of active regulatory elements are in regions of open chromatin, and each category is associated with a specific subset of post-translationally marked histones. These regulatory elements are systematically activated and repressed to promote commitment of hematopoietic stem cells along separate differentiation paths, including the closely related erythrocyte (ERY) and megakaryocyte (MK) lineages. However, the order in which these decisions are made remains unclear. To characterize the order of cell fate decisions during hematopoiesis, we collected primary cells from mouse bone marrow and isolated 10 hematopoietic populations to generate transcriptomes and genome-wide maps of chromatin accessibility and histone H3 acetylated at lysine 27 binding (H3K27ac). Principle component analysis of transcriptional and open chromatin profiles demonstrated that
BACKGROUND: Cryopreservation introduces iatrogenic damage to sperm cells due to excess production of reactive oxygen species (ROS) that can damage sperm macromolecules and alter the physiochemical properties of sperm cells. These altered properties can affect the biological potential of sperm cell towards fertility. OBJECTIVE: The study was designed to assess the role of oxidative stress in sperm DNA damage upon cryopreservation. MATERIALS AND METHODS: Semen samples (160) were classified into fertile and infertile on the basis of Computer Assisted Semen Analysis (CASA), and cryopreserved. Thawed samples were analyzed for 8OHdG marker, sperm chromatin dispersion (SCD)-based DNA fragmentation index (SCD-DFI) and ROS levels. Receiver Operating Characteristics (ROC) was performed to find the specificity and sensitivity of SCD-DFI in assessing the sperm DNA integrity. Principle component analysis (PCA) was performed to group semen parameters. RESULTS: SCD-DFI significantly correlates with 8OHdG in ...
Methods We used principal component analysis and factor analysis to evaluate the 6 hospitals management quality. 方法用主成分分析与因子分析法对6所医院的管理工作质量进行综合评价。 dict.cnki.net. ...
TY - JOUR. T1 - Two-way principal component analysis for matrix-variate data, with an application to functional magnetic resonance imaging data. AU - Huang, Lei. AU - Reiss, Philip T.. AU - Xiao, Luo. AU - Zipunnikov, Vadim. AU - Lindquist, Martin. AU - Crainiceanu, Ciprian M. PY - 2017/4/1. Y1 - 2017/4/1. N2 - Many modern neuroimaging studies acquire large spatial images of the brain observed sequentially over time. Such data are often stored in the forms of matrices. To model these matrix-variate data we introduce a class of separable processes using explicit latent process modeling. To account for the size and two-way structure of the data, we extend principal component analysis to achieve dimensionality reduction at the individual level. We introduce necessary identifiability conditions for each model and develop scalable estimationprocedures.Themethodismotivatedbyandappliedtoafunctionalmagneticresonanceimaging study designed to analyze the relationship between pain and brain ...
To explore the clinical patterns of patients with IgG4-related disease (IgG4-RD) based on laboratory tests and the number of organs involved. Twenty-two baseline variables were obtained from 154 patients with IgG4-RD. Based on principal component analysis (PCA), patients with IgG4-RD were classified into different subgroups using cluster analysis. Additionally, IgG4-RD composite score (IgG4-RD CS) as a comprehensive score was calculated for each patient by principal component evaluation. Multiple linear regression was used to establish the
Implements biplot (2d and 3d) of multivariate data based on principal components analysis and diagnostic tools of the quality of the reduction.. ...
The HPPRINCOMP procedure is a high-performance procedure that performs principal component analysis. It is a high-performance version of the PRINCOMP procedure in SAS/STAT software. PROC HPPRINCOMP accepts raw data as input and can create output data sets that contain eigenvalues, eigenvectors, and standardized or unstandardized principal component scores. Principal component analysis is a multivariate technique for examining relationships among several quantitative variables. The choice between using factor analysis and using principal component analysis depends in part on your research objectives. You should use the HPPRINCOMP procedure if you are interested in summarizing data and detecting linear relationships. You can use principal component analysis to reduce the number of variables in regression, clustering, and so on. Principal component analysis was originated by Pearson (1901) and later developed by Hotelling (1933). The application of principal components is discussed by Rao (1964); ...
The present study addresses the challenge of identifying the features of the centre of pressure (CoP) trajectory that are most sensitive to postural...
Principal component analysis (PCA) has gained popularity as a method for the analysis of high-dimensional genomic data. However, it is often difficult to interpret the results because the principal components are linear combinations of all variables, and the coefficients (loadings) are typically nonzero. These nonzero values also reflect poor estimation of the true vector loadings; for example, for gene expression data, biologically we expect only a portion of the genes to be expressed in any tissue, and an even smaller fraction to be involved in a particular process. Sparse PCA methods have recently been introduced for reducing the number of nonzero coefficients, but these existing methods are not satisfactory for high-dimensional data applications because they still give too many nonzero coefficients. Here we propose a new PCA method that uses two innovations to produce an extremely sparse loading vector: (i) a random-effect model on the loadings that leads to an unbounded penalty at the origin and
Downloadable! This article documents and examines the integration of grain markets in Europe across the early modern/late modern divide and across distances and regions. It relies on principal component analysis to identify market structures. The analysis finds that a European market emerged only in the nineteenth century, but the process had earlier roots. In early modern times a fall in trading costs was followed by an increase in market efficiency. Gradually expanding processes of integration unfolded in the long-run. Early modern regional integration was widespread but uneven, with North-Western Europe reaching high levels of integration at a particularly early stage. Low-land European markets tended to be larger and better integrated than in land-locked Europe, especially within large, centralised states. In the nineteenth century, national markets grew in old states, but continental and domestic dynamics had become strictly linked.
This article describes the major statistical analyses used in a large-scale follow-up study of prelingually deaf children implanted before 5 yrs of age. The data from this longitudinal project posed a number of challenges that required a compromise among statistical sophistication, ease of interpretation, consistency with analyses used following the initial wave of data collection, and attention to limited sample size and missing data. Primary analyses were based on principal components analysis to form composite measures of highly correlated variables followed by hierarchical multiple regression to determine the contribution of predictor sets ordered to reflect important causal assumptions and conceptual questions ...
... component analysis Geometric data analysis Independent component analysis Kernel PCA L1-norm principal component analysis Low- ... mlpack - Provides an implementation of principal component analysis in C++. NAG Library - Principal components analysis is ... which may be seen as the counterpart of principal component analysis for categorical data. Principal component analysis creates ... Principal component analysis (Wikibooks) Principal component regression Singular spectrum analysis Singular value decomposition ...
... kernel principal component analysis (kernel PCA) is an extension of principal component analysis (PCA) using techniques of ...
Within statistics, Multilinear principal component analysis (MPCA) is a multilinear extension of principal component analysis ( ... such as multilinear principal component analysis (MPCA), or multilinear independent component analysis (MICA), etc. The origin ... P. M. Kroonenberg and J. de Leeuw, Principal component analysis of three-mode data by means of alternating least squares ... K. Inoue, K. Hara, K. Urahama, "Robust multilinear principal component analysis", Proc. IEEE Conference on Computer Vision, ...
... has varied applications in time series analysis. Nowadays, this methodology is being ... Principal component analysis Jones, M. C.; Rice, J. A. (1992). "Displaying the Important Features of Large Collections of ... Functional principal component analysis (FPCA) is a statistical method for investigating the dominant modes of variation of ... The following table shows a comparison of various elements of principal component analysis (PCA) and FPCA. The two methods are ...
... (RPCA) is a modification of the widely used statistical procedure of principal component ... J. Wright; Y. Peng; Y. Ma; A. Ganesh; S. Rao (2009). "Robust Principal Component Analysis: Exact Recovery of Corrupted Low-Rank ... Cai, H.; Hamm, K.; Huang, L.; Li, J.; Wang, T. (2021). "Rapid Robust Principal Component Analysis: CUR Accelerated Inexact Low ... Emmanuel J. Candes; Xiaodong Li; Yi Ma; John Wright (2009). "Robust Principal Component Analysis?". Journal of the ACM. 58 (3 ...
Outlier-Resistant Data Processing with L1-Norm Principal Component Analysis. Advances in Principal Component Analysis. p. 121. ... L1-norm principal component analysis (L1-PCA) is a general method for multivariate data analysis. L1-PCA is often preferred ... Kwak, N. (September 2008). "Principal Component Analysis Based on L1-Norm Maximization". IEEE Transactions on Pattern Analysis ... Candès, Emmanuel J.; Li, Xiaodong; Ma, Yi; Wright, John (1 May 2011). "Robust principal component analysis?". Journal of the ...
Principal component analysis. The method of fitting a linear subspace to multivariate data by minimising the chi distances. The ... Jolliffe, I. T. (2002). Principal Component Analysis, 2nd ed. New York: Springer-Verlag. Pearson, K. (1895). "Contributions to ... These techniques, which are widely used today for statistical analysis, include the chi-squared test, standard deviation, and ... science is in reality a classification and analysis of the contents of the mind..." "In truth, the field of science is much ...
"Principal component analysis". Chemometrics and Intelligent Laboratory Systems. 2 (1-3): 37-52. doi:10.1016/0169-7439(87)80084- ...
ISBN 978-0-471-06118-2. Jolliffe, I. T. (2006). Principal Component Analysis. Springer Science & Business Media. p. 178. ISBN ... For simplicity here, the following assumptions are made: the means are zero; their components are independent; the components ... ISBN 0-8247-0156-9. Kress, Rainer (1998). "Tikhonov Regularization". Numerical Analysis. New York: Springer. pp. 86-90. ISBN 0- ... Hoerl, Arthur E. (1962). "Application of Ridge Analysis to Regression Problems". Chemical Engineering Progress. 58 (3): 54-59. ...
Tipping, Michael E.; Bishop, Christopher M. (1999). "Probabilistic Principal Component Analysis". Journal of the Royal ...
Sparse principal component analysis. Principal Component Analysis is another technique that breaks down in high dimensions; ... Johnstone, Iain M.; Lu, Arthur Yu (2009-06-01). "On Consistency and Sparsity for Principal Components Analysis in High ... Linear discriminant analysis cannot be used when p > n {\displaystyle p>n} , because the sample covariance matrix is singular. ... Vu, Vincent Q.; Lei, Jing (December 2013). "Minimax sparse principal subspace estimation in high dimensions". The Annals of ...
Emmanuel J. Candes; Xiaodong Li; Yi Ma; John Wright (2009). "Robust Principal Component Analysis?". Journal of the ACM. 58 (3 ... robust principal component analysis, signal processing, statistical learning theory, and computer vision. She is a Joseph and ... "Real-time Robust Principal Components Pursuit". International Conference on Communication Control and Computing. ...
ISBN 978-1-4673-8191-8. Lloyd, Seth; Mohseni, Masoud; Rebentrost, Patrick (2014). "Quantum principal component analysis". ... The most common use of the term refers to machine learning algorithms for the analysis of classical data executed on a quantum ... Quantum learning theory pursues a mathematical analysis of the quantum generalizations of classical learning models and of the ... Quantum neural networks apply the principals quantum information and quantum computation to classical neurocomputing. Current ...
Zou, Hui; Hastie, Trevor; Tibshirani, Robert (2006). "Sparse Principal Component Analysis". Journal of Computational and ...
Principal Component and Factor Analyses. PN 1996. Extensions of a Characterization of an Exponential Distribution Based on a ... Multivariate Analysis and Its Applications. PN 1988. Linear Transformations, Projection Operators and Generalized Inverses; A ... with S. Ghosh). Handbook of Statistics 13: Design and Analysis of Experiments. North Holland 1994. (Ed. with G.P. Patil). ... with Tata Subba Rao and Suhasini Subba Rao). Handbook of Statistics 30: Time Series Analysis: Methods and Applications . North ...
A principal component analysis" (PDF). Growth. 24: 339-354. PMID 13790416. Archived from the original (PDF) on 2011-07-20. ... "Utah GAP analysis - painted turtle". Utah Department of Natural Resources. Archived from the original on 2012-03-10. Retrieved ...
Sparse principal component analysis (sparse PCA) is a specialised technique used in statistical analysis and, in particular, in ... It extends the classic method of principal component analysis (PCA) for the reduction of dimensionality of data by introducing ... Iain M Johnstone; Arthur Yu Lu (2009). "On Consistency and Sparsity for Principal Components Analysis in High Dimensions". ... Fan Chen; Karl Rohe (2021). "A New Basis for Sparse Principal Component Analysis". arXiv:2007.00596 [stat.ML]. Alexandre ...
Mills, Peter (2012). "Principal component proxy tracer analysis". arXiv:1202.1999 [physics.ao-ph]. (Fluid dynamics, Continuum ... mechanics, Meteorological concepts, Numerical analysis, Numerical climate and weather models). ...
Structured sparse principal component analysis. In Proc. AISTATS, 2009. Rosasco, Lorenzo; Poggio, Tomaso (Fall 2015). "MIT ... socio-linguistic analysis in natural language processing, and analysis of genetic expression in breast cancer. Consider the ... The functions in the space H {\displaystyle H} can be seen as the sums of two components, one in the space H A {\displaystyle H ... and a convex potentially non-differentiable component. As such, proximal gradient methods are useful for solving sparsity and ...
"Generalized principal component analysis (GPCA)". IEEE Transactions on Pattern Analysis and Machine Intelligence. 27 (12): 1945 ... Vidal, Rene (2003). Generalized Principal Component Analysis (GPCA): An Algebraic Geometric Approach to Subspace Clustering and ... Vidal, R.; Ma, Y.; Sastry, S.S. (2016). Generalized principal component analysis (GPCA). Interdisciplinary Applied Mathematics ... Much of his work in machine learning is summarized in his book Generalized Principal Component Analysis. Currently, he is ...
Jolliffe, I. T. (2002). Principal Component Analysis, 2nd ed. New York: Springer-Verlag. Box, R. A. Fisher, pp 93-166 Agresti, ... Pearson's chi-squared test and principal component analysis. In 1911 he founded the world's first university statistics ... In 1979, José-Miguel Bernardo introduced reference analysis, which offers a general applicable framework for objective analysis ... "analysis of variance". Perhaps even more important, Fisher began his systematic approach to the analysis of real data as the ...
Cluster AnalysisPrincipal Components • Factor Models C39 Other C4 Econometric and Statistical Methods: Special Topics C40 ... Oceania O1 Economic Development O10 General O11 Macroeconomic Analyses of Economic Development O12 Microeconomic Analyses of ... Prices Q12 Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets Q13 Agricultural Markets and Marketing • ... Spatial Production Analysis, and Firm Location R30 General R31 Housing Supply and Markets R32 Other Spatial Production and ...
When projected onto a principal component analysis graph of African and west Eurasian populations, the Taforalt individuals ... Reich, David; Price, Alkes L.; Patterson, Nick (May 2008). "Principal component analysis of genetic data". Nature Genetics. 40 ... This component, which peaks among Copts in Sudan but is not found in Egyptians or Qataris, appears alongside a component that ... The Sub-Saharan component is most strongly drawn out by modern West African groups such as the Yoruba and the Mende. The ...
ISBN 978-0-12-088492-6. Reich D, Price AL, Patterson N (May 2008). "Principal component analysis of genetic data". Nature ... A principal component analysis of data from the Human Genome Diversity Project by Reich et al. detected a west-to-east gradient ... 5,000 BC). Ancient DNA analysis of these specimens indicates that they carried paternal haplotypes related to the E1b1b1b1a (E- ... 2009)-which also contains an admixture analysis chart but no cluster membership coefficients-shows little to no Sub-Saharan ...
Principal components analysis; Image statistics and measurement; A variety of supervised and unsupervised classification ... The software runs only on Microsoft Windows, although three of its four components also build and run on Linux. Goldin and ...
De la Torre, F.; Black, M.J. (2001). "Robust principal component analysis for computer vision". Int. Conf. on Computer Vision ( ... and principal-component analysis (PCA). The robust formulation was hand crafted and used small spatial neighborhoods. The work ... which has become an important component of self-supervised training of neural networks for problems like facial analysis. ... Classical methods for analysis by synthesis formulate an objective function and then differentiate it. The OpenDR method was ...
It is widely used in statistics, where it is related to principal component analysis and to correspondence analysis, and in ... In addition, multilinear principal component analysis in multilinear subspace learning involves the same mathematical ... Wall, Michael E.; Rechtsteiner, Andreas; Rocha, Luis M. (2003). "Singular value decomposition and principal component analysis ... Nearest neighbor search Non-linear iterative partial least squares Polar decomposition Principal component analysis (PCA) ...
I. Basic Data and Principal Component Analysis". The Astrophysical Journal. 664 (2): 890-908. arXiv:0704.2179. Bibcode:2007ApJ ... It is one of the minor but noticeable components of the atmospheres of all the giant planets, with abundances from about 30 ppm ... NaOD Hydrogen deuteride is a minor component of naturally occurring molecular hydrogen. ...
An Introduction to Factor Analysis (PDF). ISBN 0 902246 55 0. Daultrey, Stu (1976). Principal Components Analysis (PDF). ISBN 0 ... Analysis of Frequency Distributions (PDF). ISBN 0 902246 98 4. Silk, John. Analysis of Covariance and Comparison of Regression ... An Introduction to Likelihood Analysis (PDF). ISBN 0 86094 190 6. Dewdney, J.C. The UK Census of Population 1981. ISBN 0 86094 ... An Introduction to the Use of Simultaneous-Equation Regression Analysis in Geography (PDF). Lai, Pong-wai (1979). Transfer ...
... principal component regression (PCR) is a regression analysis technique that is based on principal component analysis (PCA). ... principal component and the j t h {\displaystyle j^{th}} principal component direction (or PCA loading) corresponding to the j ... selected principal components as a covariate. When all the principal components are selected for regression so that k = p {\ ... and hence the corresponding principal components and principal component directions could be infinite-dimensional as well. ...
... evidence based on compatible element geochemistry and Principal Component Analysis. Journal of Archaeological Science, Volume ... Geochemical analysis has shown that some of the bluestones from the inner horseshoe at Stonehenge probably came from Carn Menyn ... In the early 1920s HH Thomas showed through petrographic analysis that many of the bluestones had come from the Preseli Hills, ...
... is a component of "didymium" (referring to mixture of salts of neodymium and praseodymium) used for coloring glass to ... The similar absorption of the yellow mercury emission line at 578 nm is the principal cause of the blue color observed for ... Review of Rare Earth Elements as Fertilizers and Feed Additives: A Knowledge Gap Analysis. Arch Environ Contam Toxicol 81, 531- ... Scenario assessment of neodymium recycling in Japan based on substance flow analysis and future demand forecast. J Mater Cycles ...
Principal to any dialogue system is the dialogue manager, which is a component that manages the state of the dialogue, and ... Support scientist in data manipulation and analysis tasks, for example in genomics. In some cases, conversational agents can ... What sets of components are included in a dialogue system, and how those components divide up responsibilities differs from ... The typical GUI wizard engages in a sort of dialogue, but it includes very few of the common dialogue system components, and ...
The components of food webs, including organisms and mineral nutrients, cross the thresholds of ecosystem boundaries. This has ... Tavares-Cromar, A. F.; Williams, D. D. (1996). "The importance of temporal resolution in food web analysis: Evidence from a ... Complexity explains many principals pertaining to self-organization, non-linearity, interaction, cybernetic feedback, ... Published examples that are used in meta analysis are of variable quality with omissions. However, the number of empirical ...
In 1951, chemical and X-ray analysis confirmed the principal constituents of taaffeite as beryllium, magnesium and aluminium, ... making taaffeite the first mineral to contain both beryllium and magnesium as essential components. The confusion between ...
The principal thrust of Hawthorne's work has been to establish the theoretical underpinnings of more rigorous approach to ... Hawthorne, F.C., Ungaretti, L., Oberti, R., Bottazzi, P., Czamanske, G.K. (1993) Li: An important component in igneous alkali ... Luciano Ungaretti and Giuseppe Rossi in Pavia using large-scale crystal-structure refinement and electron-microprobe analysis ... Light lithophile elements (LLEs) can be important variable components in several groups of rock-forming minerals that were ...
It was first mooted in August 2009 and is made up of the principal remaining components of the United Iraqi Alliance: The ... "The 2005 Election Law Seen as Unconstitutional; Seat Distribution Key in Doubt". Iraq and Gulf Analysis. 24 November 2009. Gina ... Other major notable components are the Islamic Dawa Party - Tanzim al-Iraq and Oil Minister Hussain al-Shahristani's " ... The State of Law Coalition's largest component are members of al-Maliki's Dawa party and members of the incumbent al-Maliki led ...
... be represented as a linear combination of the original variables as possible in techniques such as principal component analysis ... It is particularly suited for use in exploratory data analysis. The method was proposed by John W. Sammon in 1969. It is ...
One of the principal objectives of PATH was to determine how, what, and why historians do what they do, to bridge the distance ... PATH I, in the Spring of 2000, focused on the "history of the history" of the Boston Massacre, including the analysis of first- ... It includes student workbook questions for each of the components. They converted the records into a searchable database ... The course included a classroom laboratory for artifact analysis and cataloging. The program also included a four-week summer ...
The JG 1 component of JG 27 were particularly successful; Wilhelm Balthasar was the second fighter pilot in the Luftwaffe to be ... This analysis is supported by other authors. Brown states: "Clearly in the combat of 15 September, there could not have been ... On 20 April Geschwaderkommodore Wolfgang Schellmann, Ibel's principal successor, led Stab/JG 27 over Khalkis harbour to support ... This very day II./JG 27 reported the loss of 16 Messerschmitt Me 323s it was escorting; analysis confirms 14. JG 27 sources ...
The Confer (Kofar) country lies beyond Rahanweyn in the coastal area, the principal Gurreh towns or villages being Shan and ... Despite the heavy emphasis on camel husbandry the production system of the Garre includes important cattle and crop components ... and Y-DNA analysis by Hirbo around 75% of Garre carry the paternal E-M78 E-V-12* haplogroup, which is likely originated in ... Perspectives through conflict analysis and key political actors' mapping of Gedo, Middle Juba, Lower Juba, and Lower Shabelle ...
2014) Principal component (PC) analysis of the variation of autosomal SNPs in Western Balkan populations in Eurasian context ... Principal component analysis of Y-chromosomal haplogroup frequencies among the three ethnic groups in Bosnia and Herzegovina ( ... According to correspondence analysis, admixture analysis and Rst genetic distance, Serbian regional population samples cluster ... Admixture analysis of autosomal SNPs in a global context on the resolution level of 7 assumed ancestral populations per ...
28 Analysis on Cultural Revolution). Yuan, Li (8 July 2021). "'Who Are Our Enemies?' China's Bitter Youths Embrace Mao". The ... The mass line can be summarised as "from the masses, to the masses". It has three components or stages: Gathering the diverse ... "There are many contradictions in the process of development of a complex thing, and one of them is necessarily the principal ... His writings in this period failed to elaborate on what he meant by the "Marxist method of political and class analysis". ...
The basis of San Marino's government is the multi-document Constitution of San Marino, the first components of which were ... Alan James Mayne (1 January 1999). From Politics Past to Politics Future: An Integrated Analysis of Current and Emergent ... the first asking if the Government of San Marino should be headed by a Principal and Sovereign Council, and the second, if the ...
A transition to the A1 component will give a parallel band and a transition to the E component will give perpendicular bands; ... Analysis of the spectra is made more complicated by the fact that the ground-state vibration is bound, by symmetry, to be a ... These molecules have a unique principal rotation axis of order 3 or higher. There are two distinct moments of inertia and ... Numerical analysis of ro-vibrational spectral data would appear to be complicated by the fact that the wavenumber for each ...
Further analysis and testing with a replica model on Earth suggested the problem may be due to insufficient friction. In June ... The Principal Investigator is Tilman Spohn from the German Aerospace Center. The mission aims to understand the origin and ... Insight's HP3 components after lifting the support structure away from the mole. This image shows a region of compressed ... Efforts of HP3 to penetrate the Martian surface Engineering analysis of the mole after the initial problem concluded that the ...
The principal components of a synchronous motor are the stator and the rotor. The stator of synchronous motor and stator of ... "Analysis of brushless permanent magnet synchronous motors". Industrial Electronics, IEEE Transactions on. 1996. doi:10.1109/ ...
In 1995 COPECAS, in collaboration with other principal institutions, conducted a country-wide analysis of water and sanitation ... Loan components also include institutional strengthening of INFOM and community strengthening. KfW supported rural water and ...
The statement of principals and purpose states "The forum has agreed to work together towards mutual recognition to identify ... Means-end Analysis and Values: The Recreational Scuba Consumer. 2007-01-01. ISBN 9780549442462. "Nick Icorn - International ... Unlike stabilizer jackets, the backplate and wing is a modular system, in that it consists of separable components. This ... The International Diving Regulators Forum (IDRF) confirmed its principals and purpose at their meeting in London in September ...
He was a principal author of the original Air Force White Paper "Global Reach-Global Power." In the early 1990s he was ... In 2005, he was the Joint Force Air Component Commander (JFACC) for Operation Unified Assistance, the South Asia tsunami relief ... "Afghan War Lessons: U.S. Must Make Strategic Choices As Budgets Shrink « Breaking Defense - Defense industry news, analysis and ... He was the principal attack planner for the Desert Storm coalition air campaign in 1991. He has twice been a Combined/Joint ...
A license may encompass an entire technology or it may involve a mere component or improvement on a technology. In the United ... The actual discount factor used depends on the risk assumed by the principal gainer in the transaction. For instance, a mature ... Kirstein, R./Schmidtchen, D. (2001); Do Artists Benefit from Resale Royalties? An Economic Analysis of a New EU Directive. In: ... In the United Kingdom there are three principal organizations: (i) Phonographic Performance Limited (PPL) (ii) PRS for Music ( ...
Being a component of Earth's hydrosphere and hydrologic cycle, it is particularly abundant in Earth's atmosphere, where it acts ... Spectroscopic analysis of HD 209458 b, an extrasolar planet in the constellation Pegasus, provides the first evidence of ... Lacis, A. et al., The role of long-lived greenhouse gases as principal LW control knob that governs the global surface ... Use of water vapor, as steam, has been important for cooking, and as a major component in energy production and transport ...
One of the principal claims of neo-creationism propounds that ostensibly objective orthodox science, with a foundation in ... Islam also has its own school of theistic evolutionism, which holds that mainstream scientific analysis of the origin of the ... and that the component elements of the material world have always existed and will always exist. With regard to evolution and ...
... can be considered as the identity matrix and then CSP corresponds to Principal component analysis. Linear discriminant analysis ... Thus CSP finds a projection that makes the variance of the components of the average ERP as large as possible so the signal ... The CSP algorithm determines the component w T {\displaystyle \mathbf {w} ^{\text{T}}} such that the ratio of variance (or ... CSP can be adapted for the analysis of the event-related potentials. Blind signal separation Zoltan J. Koles, Michael S. ...
... such as Principal Component Analysis (PCA) or Partial Least Squares regression (PLS), to estimate the oil acidity. The ... Free acidity is a defect of olive oil that is tasteless and odorless, thus can not be detected by sensory analysis. Since ... The main advantage of NIR spectroscopy is the possibility to carry out the analysis on raw olive oil samples, without any ... Many commercial spectrophotometers exist that can be used for analysis of different quality parameters in olive oil. ...
The aquifer is part of the High Plains Aquifer System, and resides in the Ogallala Formation, which is the principal geologic ... with dissolved components spreading as much as 1,050 ft (320 m) further. Early in his presidency, U.S President Donald Trump ... "common for companies applying to build government projects to be involved in assigning and paying for the impact analysis", ...
Further analysis of the site could reveal information about the relationship between the different sections of the complex (the ... The complex is also significant for the relationship between the components of the site, these being the wooden post barriers, ... The place is important in demonstrating the principal characteristics of a class of cultural or natural places/environments in ... The Yooroonah Tank Barrier has State significance for the aesthetic and technical qualities of the site's layout and components ...
A tea will be rich in polar components because water is a polar solvent. Oil on the other hand is a non-polar solvent and it ... Herbs were also commonly used in the traditional medicine of ancient India, where the principal treatment for diseases was diet ... Herz RS (2009). "Aromatherapy facts and fictions: a scientific analysis of olfactory effects on mood, physiology and behavior ... is still a vital component, and has been around for millennia. Some researchers trained in both Western and traditional Chinese ...
... authorize MSS ATC subject to conditions that ensure that the added terrestrial component remains ancillary to the principal MSS ... GPS error analysis examines error sources in GPS results and the expected size of those errors. GPS makes corrections for ... The L5 consists of two carrier components that are in phase quadrature with each other. Each carrier component is bi-phase ... These limits only apply to units or components exported from the United States. A growing trade in various components exists, ...
principal component analysis. * Scientists discover how our brains categorize and map everything we see December 20, 2012 at 4: ...
Block-Constraint Robust Principal Component Analysis and its Application to Integrated Analysis of TCGA Data. ... Block-Constraint Robust Principal Component Analysis and its Application to Integrated Analysis of TCGA Data https://www.embs. ...
Discovering Structure in The Data Exercises Figure 6.1 A Framework for Multivariate Analysis Principal Component Analysis (PCA ... Chapter 6 Principal Components Analysis Principal Component Dimension Reduction ... Principal Components Analysis. Principal Component. Dimension Reduction. Discovering Structure in The Data. Exercises. Figure ... Principal Component Analysis (PCA) is an exploratory multivariate technique with two overall objectives. One objective is " ...
Principal component analysis (PCA), a well-established technique for data analysis and processing, provides a convenient form ... with shared common principal components across matrices and individual principal components specific to each data matrix. The ... Robust Transfer Principal Component Analysis with Rank Constraints. Part of Advances in Neural Information Processing Systems ... Specifically, we formulate the data recovery problem as a joint robust principal component analysis problem on the two data ...
Principal component analysis reveals that the number of principal components that account for more than 99% of reflectance ... across each principal component direction separately. For each principal component, the ... 2.4 Principal component analysis similarity factors for reflectance spectra The standard PCASF compares the relative angle ,ij ... and the principal component analysis similarity factor (PCASF). We demonstrate the effectiveness of this approach and its c ...
Principal Component Analysis (PCA) is a statistical procedure that extracts the most important features of a dataset. ... parser = argparse.ArgumentParser(description=Code for Introduction to Principal Component Analysis (PCA) tutorial.\ ... parser = argparse.ArgumentParser(description=Code for Introduction to Principal Component Analysis (PCA) tutorial.\ ... The final result is visualized through the drawAxis() function, where the principal components are drawn in lines, and each ...
... in comparing item fit statistics and principal component analysis as tools for assessing the unidimensionality requirement of ... The simulation study reveals both an iterative item fit approach and principal component analysis of standardized residuals are ... Detecting and evaluating the impact of multidimensionality using item fit statistics and principal component analysis of ... in comparing item fit statistics and principal component analysis as tools for assessing the unidimensionality requirement of ...
Exploratory Factor Analysis (EFA) and Principal Component Analysis (PCA) are popular techniques for simplifying the ... Exploratory factor and principal component analyses: some new aspects.. Statistics and Computing, 23(2) pp. 209-220. ...
Principal component analysis (PCA) is a mathematical technique to understand the relationships among correlated properties that ... Preliminary analysis of the EDR and DR1 samples appears to show outflow in the narrow [O III] λ5007 line in objects emitting ...
Title:Sparse Principal Component Analysis with missing observations. Authors:Karim Lounici. Download PDF Abstract: In this ... we study the problem of sparse Principal Component Analysis (PCA) in the high-dimensional setting with missing observations. ... Third, if the covariance matrix of interest admits a sparse first principal component and is in addition approximately low-rank ... Our goal is to estimate the first principal component when we only have access to partial observations. Existing estimation ...
Singular Value Decomposition versus Principal Component Analysis. From Wikimization. (Difference between revisions) ... variance of principal components,/i, can be found here:. Good explanation of terminology like ,i,variance of principal ... Good explanation of terminology like variance of principal components can be found here: Relationship between SVD and PCA ... Retrieved from "http://www.convexoptimization.com/wikimization/index.php/Singular_Value_Decomposition_versus_Principal_ ...
Title:State and group dynamics of world stock market by principal component analysis. Authors:Ashadun Nobi, Jae Woo Lee ... We apply a principal component analysis (PCA) to cross-correlation coefficients of the stock indices. We calculate the ... correlations between principal components (PCs) and each asset, known as PC coefficients. A change in market state is ...
Principal component analysis of molecular clouds: can CO reveal the dynamics?. Erik Bertram, Rahul Shetty, Simon C O Glover, ...
Studies show that principal component cluster method can not only carry on the reasonable classification of multivariate data ... index system for fruit and vegetable nutrition are performed to assign principal component factor based on cluster analysis of ... and cluster analysis, the standardization, dimension-reduction and de-correlation of multiple evaluation ... Principal component analysis was carried out on the data in Table 1, and we got the eigenvalue and the principal components ...
Dive into the research topics of Feature detection in motor cortical spikes by principal component analysis. Together they ...
EVRI-thing You Need to Know About How to do Principal Components Analysis. Apr 8, 2021. ... Eigenvector Technology Principal Bob Roginski will show you how to use Eigenvectors MATLAB based PLS_Toolbox or stand-alone ...
... ratio principal component analysis, and then the principal components were included in the character matrix rather than the raw ... Article: Principal component analysis as an alternative treatment for morphometric characters: phylogeny of caseids as a case ... Principal component analysis as an alternative treatment for morphometric characters: phylogeny of caseids as a case study. ... principal components not overwhelming the discrete characters and the use of a scaling method which allows principal components ...
Singular value decomposition (SVD) is a powerful method to derive primary components of a given matrix. Applying SVD to a ... Principal component analysis for predicting transcription-factor binding motifs from array-derived data. Access & Citations. * ...
A principal component analysis (PCA) of temperature profiles is used to estimate the movement between the initial location of ... A principal component analysis (PCA) of temperature profiles is used to estimate the movement between the initial location of ... A Principal Component Analysis of Vertical Temperature Profiles for Tracking Movements of Swordfish Xiphias gladius ... Carmody, Kathryn G.; Mariano, Arthur; and Kerstetter, David W., "A Principal Component Analysis of Vertical Temperature ...
Principal Investigator:IKE AKIKO, Project Period (FY):2012-04-01 - 2015-03-31, Research Category:Grant-in-Aid for Scientific ... Discriminant analysis shows no contradiction with principal component analysis. The obtained results suggest the following ... By the principal component analysis based on the concentrations of Na,Ca,K,Mg,Si and several physical and chemical properties, ... Grouping of tap waters by mineral composition and several properties, using principal component analysis, to identify ...
Principal component analysis to enhance enantioselective Raman spectroscopy. In: Analyst. 2019 ; Vol. 144, No. 6. pp. 2080-2086 ... Rullich, C. C., & Kiefer, J. (2019). Principal component analysis to enhance enantioselective Raman spectroscopy. Analyst, 144( ... Rullich CC, Kiefer J. Principal component analysis to enhance enantioselective Raman spectroscopy. Analyst. 2019 Mar 21;144(6): ... Principal component analysis to enhance enantioselective Raman spectroscopy. / Rullich, Claudia C.; Kiefer, Johannes. ...
Anwar, Naveed and Oakes, Michael (2010) Principal components analysis on audiograms from a hearing aid clinic. In: British ... In this study we describe a Principal Components Analysis (PCA) of 11,462 audiograms recorded at the hearing aid clinic at ... No clear patterns were seen for the fifth or subsequent principal components. The percentage of the overall variability in the ... and thus can be grouped into a smaller number of underlying variables called principal components (PC). Each PC has a set of ...
PCA - Principal Component Analysis Essentials kassambara , 23/09/2017. , 479201 , Comments (37) , Principal Component Methods ... Results for the Principal Component Analysis (PCA)** ## The analysis was performed on 23 individuals, described by 10 variables ... in R: Practical Guide , Multivariate Analysis Principal component analysis (PCA) allows us to summarize and to visualize the ... of the variables to the principal components. The contribution of a variable (var) to a given principal component is (in ...
Huang, Kevin, "Principal Component Analysis in the Eigenface Technique for Facial Recognition". Senior Theses, Trinity College ...
Home » Data Science » SAS » Statistics » Principal Component Analysis with SAS Principal Component Analysis with SAS Deepanshu ... Uses of Principal Components. The principal components can be used in place of the original variables in the analysis.. SAS ... Problems with Principal Component Analysis. *Each principal component involves all the input variables. The coefficients of the ... If you run a principal component analysis on a set of 5 variables and observe that the first component explains 85% of the ...
... yield curve analysis, and in the creation of composite indicators. This article explains how PCA analysis is used in fixed ... Principal Component Analysis (PCA) has two main applications in my area of interest: ... Principal Component Analysis (PCA) has two main applications in my area of interest: yield curve analysis, and in the creation ... Principal Component Analysis provides a rigorous mechanism to asses the embedded directionality of relative value positions.. ...
... of Air Pollution Sources and Temporal Assessment of Air Quality at a Sector in Mosul City Using Principal Component Analysis. ... Simultaneous Rapid Analysis of Multiple Nitrogen Compounds in Polluted River Treatment Using Near-Infrared Spectroscopy and a ...
This tutorial will help you set up and interpret a Principal Component Analysis (PCA) in Excel using the XLSTAT software. ... Principal Component Analysis (PCA) in Excel This tutorial will help you set up and interpret a Principal Component Analysis ( ... What is Principal Component Analysis?. Principal Component Analysis is a very useful method to analyze numerical data ... Note on the usage of Principal Component Analysis. Principal component analysis is often performed before a regression, to ...
Principal components analysis (PCA) and factor analysis (FA), two methods of identifying underlying patterns without a priori ... From: Heritable patterns of tooth decay in the permanent dentition: principal components and factor analyses ...

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