• Covariance and correlation matrices have this property. (sas.com)
  • A reliable estimation of cosmological parameters from pseudo-power spectrum estimators requires accurate covariance matrices. (aanda.org)
  • We focus on the analytical calculation of covariance matrices. (aanda.org)
  • We present for the first time an algorithm that allows an efficient (but computationally expensive) exact calculation of analytic covariance matrices. (aanda.org)
  • Using it as our reference, we tested the accuracy of existing fast approximations of the covariance matrix. (aanda.org)
  • We find that when the power spectrum is binned in wide bandpowers, current approximations of the covariance matrix are correct up to the 5% level on the SPT-3G small sky footprint. (aanda.org)
  • While we considered the specific case of the CMB, our results are applicable to any other cosmological probe that requires the calculation of pseudo-power spectrum covariance matrices. (aanda.org)
  • A robust inference of cosmological parameters requires accurate covariance matrices that describe the variance of the spectra along their diagonal, as well as the correlations between multipoles in the off-diagonal terms. (aanda.org)
  • Then, in Section V, we illustrate the performance of the discussed like matrices to include also the required cross-correlation covariance methods before concluding on the work in Section VI. (lu.se)
  • The purpose of this course was to provide an introduction to modern methods of a data-sparse approximation to integral and more general nonlocal operators based on the use of hierarchical matrices (or briefly -matrices). (mpg.de)
  • We focus on the error and complexity analysis of the -matrix approximation to integral operators. (mpg.de)
  • The desired data-sparse -matrix approximation comes up through the finite element Galerkin method applied to the operator with a modified kernel as above. (mpg.de)
  • The kinematically acces- sible region is large, the physical pictures emerging at the two extremities of the 2 range are quite different, requiring different approximation methods and this makes calculations directly from QCD hard. (lu.se)
  • The third ingredient of the proposed approaches exploits the idea of spectral density, popular in physics, and the Lanczos spectroscopic method to locate this gap. (mlr.press)
  • Following previous analysis where finite elements where used on both subdomains, we provide an exact formula for the spectral radius of the iteration matrix for this specific mixed discretizations. (lu.se)
  • There, the iteration matrix is derived in terms of the spatial discretization matrices and the convergence rate is the spectral radius of that. (lu.se)
  • Then, we compute the spectral radius of the iteration matrix exactly in terms of the eigende- composition of the resulting matrices for the one dimensional case. (lu.se)
  • By varying the frequency separation of the two spectral components of the probe pulse, we determine the populations and coherences of the density matrix. (lu.se)
  • This decomposition in low-rank and sparse matrices can be achieved by techniques such as Principal Component Pursuit method (PCP), Stable PCP, Quantized PCP, Block based PCP, and Local PCP. (wikipedia.org)
  • L1-norm principal component analysis Robust PCA Dynamic RPCA Decomposition into Low-rank plus Additive Matrices Low-rank models T. Bouwmans, N. Aybat, and E. Zahzah. (wikipedia.org)
  • The SVD-PHAT method relies on Singular Value Decomposition of the SRP-PHAT projection matrix. (arxiv.org)
  • The convergence rate of the method has been analyzed in any standard book on domain decomposition method, e.g. [18, 20] . (lu.se)
  • version enabling the exploitation of the relevant performance metrics and methods such as the receiver operating characteristic and area under the curve for the assessment of different classification algorithms. (mdpi.com)
  • The developed method is then exploited for the assessment of state of the art machine learning algorithms applied on the net promoter score classification problem in the field of customer experience analytics indicating the value of the proposed method in real world classification problems. (mdpi.com)
  • is often the fastest backpropagation algorithm in the toolbox, and is highly recommended as a first-choice supervised algorithm, although it does require more memory than other algorithms. (mathworks.com)
  • Professor Darve's research work emphasizes the development of numerical methods for machine learning in science and engineering applications, anomaly detection, numerical linear algebra, fast algorithms, high-performance scientific computing, and parallel computing. (stanford.edu)
  • matrices for the mentioned coherence algorithms. (lu.se)
  • Computational techniques, including predictive algorithms and mathematical models that describe a selected process (e.g., skin permeation) by means of analytical or numerical methods. (cdc.gov)
  • The matrix is symmetric, which means that all of its eigenvalues are real . (sas.com)
  • Distinct eigenvalues are a generic property of the spectrum of a symmetric matrix, so, almost surely , the eigenvalues of his matrix are both real and distinct. (sas.com)
  • Finding the complete set of eigenvalues and eigenvectors for a dense symmetric matrix is computationally expensive. (sas.com)
  • Basic principles of the discrete/fast Fourier transform, with applications to signal processing, data compression and the solution of differential equations. (nyu.edu)
  • A code to take the fast Fourier or Hankel transform of a discrete periodic sequence of logarithmically spaced points. (colorado.edu)
  • FFTLog is a set of fortran subroutines that compute the fast Fourier or Hankel (= Fourier-Bessel) transform of a periodic sequence of logarithmically spaced points. (colorado.edu)
  • FFTLog can be regarded as a natural analogue to the standard Fast Fourier Transform (FFT), in the sense that, just as the normal FFT gives the exact (to machine precision) Fourier transform of a linearly spaced periodic sequence (§ 5 ), so also FFTLog gives the exact Fourier or Hankel transform, of arbitrary order \(\mu\) of a logarithmically spaced periodic sequence (§ 6 ). (colorado.edu)
  • Hen- shaw and Chand provided in [9] a method to analyze stability and convergence speed of the Dirichlet-Neumann iteration in 2D based on applying the continuous Fourier transform to the semi-discretized equations. (lu.se)
  • NASA's engineers have been able to produce parts with complex geometry only previously imagined, and with dimensional accuracy beyond that possible with traditional fabrication methods. (extremetech.com)
  • The 2014 guaranteed algorithm for the robust PCA problem (with the input matrix being M = L + S {\displaystyle M=L+S} ) is an alternating minimization type algorithm. (wikipedia.org)
  • Another fast version of accelerated alternating projections algorithm is IRCUR. (wikipedia.org)
  • I told him that the power iteration method is an algorithm that can quickly compute the largest eigenvalue (in absolute value) and associated eigenvector for any matrix, provided that the largest eigenvalue is real and distinct. (sas.com)
  • We propose a new algorithm for performing Nmf on sparse data that we call multifrontal Nmf (Mf-Nmf) since it borrows several ideas from the multifrontal method for unconstrained factorization (e.g. (osti.gov)
  • as it provides similar functionalities but uses a faster algorithm. (mathworks.com)
  • selects the algorithm that will be used to generate the test matrix. (mathworks.com)
  • Like the quasi-Newton methods, the Levenberg-Marquardt algorithm was designed to approach second-order training speed without having to compute the Hessian matrix. (mathworks.com)
  • Björck, A. Numerical Methods for Least Squares Problems . (mit.edu)
  • approach is fastest because it doesn't involve making a copy. (stackexchange.com)
  • In this work, a parallel computational approach is presented that relies on using scalable open source libraries and utilizes a kernel-independent Fast Multipole Method (FMM) to evaluate the integrals in O ( N ) operations, with O ( N ) memory cost, thereby substantially improving the scalability and efficiency of computational integral methods. (osti.gov)
  • Experiment results show that the proposed approach effectively accomplishes the task in the new scenario, with significantly improved task success rate, average reward, and robustness compared to existing methods. (frontiersin.org)
  • In contrast to most search the last decade emerged as powerful tools for and heuristics methods, the ANN-based approach ``intelligent'' computing. (lu.se)
  • A refined laser method and faster matrix multiplication. (dagstuhl.de)
  • And what is this $\alpha$ if you forbid impractical methods like Coppersmith-Winograd fast matrix multiplication? (stackexchange.com)
  • For example, a 5-cycle can be found in $O(m^{1.67})$ time, without any dependence on matrix multiplication. (stackexchange.com)
  • Also, while it is not too hard to reduce 5-cycle detection to Boolean matrix multiplication (with constant factor overhead), a reduction in the opposite direction does not appear in the color-coding paper. (stackexchange.com)
  • A tight reduction (which preserves the runtime complexity) from Boolean matrix multiplication to 5-cycle detection is not known. (stackexchange.com)
  • The dense case is essentially equivalent to boolean matrix multiplication by color coding. (stackexchange.com)
  • The second ingredient employs stochastic trace estimators to compute the rank of this wanted eigen-projector, which yields the desired rank of the matrix. (mlr.press)
  • In this work, we further this development with the presentation of computationally efficient implementations of like matrices of various dimensions, which are shown to admit for the Capon- and APES-based MSC estimators. (lu.se)
  • A number of different approaches exist for Robust PCA, including an idealized version of Robust PCA, which aims to recover a low-rank matrix L0 from highly corrupted measurements M = L0 +S0. (wikipedia.org)
  • What is A-TEEM spectroscopy and how does it compare to other optical and chromatographic methods? (horiba.com)
  • His advisor was Prof. Olivier Pironneau, and his Ph.D. thesis was entitled 'Fast Multipole Methods for Integral Equations in Acoustics and Electromagnetics. (stanford.edu)
  • Being a direct descendant of well established panel clustering, fast multipole and mosaic-skeleton methods, the -matrix technique allows in addition matrix-matrix operations of almost linear cost. (mpg.de)
  • We begin with a short survey on the Galerkin finite element methods for strongly elliptic variational equations. (mpg.de)
  • This can be used after scrolling to ensure a consistent spatial positioning of the dither matrix. (freedesktop.org)
  • LA-ICP-MS is a powerful method for element analysis in a wide variety of solid materials (i.e. minerals, bone & teeth materials, wood, ceramics, etc.) at spatial resolutions from a few up to several hundred µm. (lu.se)
  • A constant Eulerian velocity framework is used, which allows a rapid scaling and squaring method to be used in the computations. (nih.gov)
  • Based on a linear thermal system formulation, the new method replaces many time-consuming integration computations with more efficient matrix multiplications. (umass.edu)
  • In this study, active packaging materials were successfully prepared by incorporating chlorogenic acid (CGA) nanoparticles into pullulan/gelatin polymer matrixes. (bvsalud.org)
  • By phylogenetic analysis based on maximum-likelihood and Bayesian methods, the phylogeny of Grossulariaceae and the infrageneric relationships of the Ribes were revealed. (bvsalud.org)
  • All in all, the -matrix format can be specified by a list of low-rank matrix blocks within a hierarchical matrix partitioning that is refined towards the main diagonal. (mpg.de)
  • The purpose of this chapter is to describe the analytical methods that are available for detecting and/or measuring and monitoring Otto Fuel II and its components in environmental media and in biological samples. (cdc.gov)
  • The intent is not to provide an exhaustive list of analytical methods that could be used to detect and quantify Otto Fuel II and its components. (cdc.gov)
  • Additionally, analytical methods may be included that refine previously used methods to obtain lower detection limits, and/or to improve accuracy and precision. (cdc.gov)
  • Details of commonly used analytical methods for several types of biological media are presented in Table 6-l. (cdc.gov)
  • Two analytical methods exist for detecting propylene glycol dinitrate in expired air. (cdc.gov)
  • Aliquots from the samples were sent to two different labs and analyzed for metabolites of atrazine (atrazine mercapturate), metolachlor (metolachlor mercapturate) and chlorpyrifos (TCP) by two different analytical methods: immunoassay and high performance liquid chromatography-tandem mass spectrometry (HPLC-MS/MS). HPLC-MS/MS methods tend to be highly specific, but are costly and time consuming. (cdc.gov)
  • Three statistical methods were employed to compare the two analytical methods. (cdc.gov)
  • Conclusion: for this comparison between two analytical methods with censored data, MLE provided the most meaningful estimates. (cdc.gov)
  • The computational complexity is O ( m n r 2 log ⁡ 1 ϵ ) {\displaystyle O\left(mnr^{2}\log {\frac {1}{\epsilon }}\right)} where the input is the superposition of a low-rank (of rank r {\displaystyle r} ) and a sparse matrix of dimension m × n {\displaystyle m\times n} and ϵ {\displaystyle \epsilon } is the desired accuracy of the recovered solution, i.e. (wikipedia.org)
  • If we stack the video frames as columns of a matrix M, then the low-rank component L0 naturally corresponds to the stationary background and the sparse component S0 captures the moving objects in the foreground. (wikipedia.org)
  • It provides several sparse matrix storage formats and conversion methods. (opensuse.org)
  • Indeed, 5-cycle (and in general $k$-cycle) in sparse graphs can be solved much faster than $O(mn)$ time using the high degree / low degree trick. (stackexchange.com)
  • The first is to approximate the projector on the non-null invariant subspace of the matrix by using a polynomial filter. (mlr.press)
  • Specifically, we utilize a multi-class SVM method called GMNP with an inhomogeneous, normalized polynomial kernel of degree 20. (cdc.gov)
  • If the power method converges, the function returns the largest eigenvalue. (sas.com)
  • However, it is important to note that current cooperative decision-making methods, including non-learning methods and traditional heuristics for UAVs, have limited capacity to effectively manage conflicts between multiple aircraft and maintain a balance between adapting to variable mission environments and meeting time constraints. (frontiersin.org)
  • About how much faster is the power method over computing all eigenvectors? (sas.com)
  • Methods were located for the analysis of propylene glycol dinitrate or its metabolites in expired air, blood, urine, and hand swabs. (cdc.gov)
  • Methods exist for detecting propylene glycol dinitrate and its metabolites in blood and urine. (cdc.gov)
  • The primary method of analysis for propylene glycol dinitrate and its metabolites in blood and urine is gas chromatography with electron capture detection (Litchfield 1968). (cdc.gov)
  • An outdated but simple method for determining propylene glycol dinitrate in blood and urine is calorimetric analysis (Litchfield 1968). (cdc.gov)
  • Methods: urine samples were collected from 50 participants in a study investigating pesticide exposure among farm families in Iowa. (cdc.gov)
  • The pH effect on the method of ruggedness testing determined that pre-PhMA is stable across the normal human urine pH range and that neutral conditions must be maintained throughout quantification for robust and accurate measurement of urinary pre-PhMA concentrations. (cdc.gov)
  • Spike accuracy, measured by quantifying analyte-spiked urine matrix and comparing the result to the known spike concentration, determined that 2MHA-[2H7] generated negatively biased urinary results of -38.4% whereas no significant bias was observed for 2MHA-[13C6]. (cdc.gov)
  • This work describes a quantitative high-throughput analytical method for the simultaneous measurement of small aliphatic nitrogenous biomarkers, i.e., 1,6-hexamethylenediamine (HDA), isophoronediamine (IPDA), beta-methylamino-l-alanine (BMAA), and trimethylamine N-oxide (TMAO), in human urine. (cdc.gov)
  • Fasting (≥ 8 hours) participants ≥ 20 years of age from NHANES 2003-2004. (cdc.gov)
  • Such a scaling, which arises from the many-body nature of the relevant Green's function, has precluded wide-spread adoption of integral methods for solution of large-scale scientific and engineering problems. (osti.gov)
  • This game isn't just set in the Matrix universe - it's an integral part of the entire Matrix experience, with a story that weaves in and out of The Matrix: Reloaded, the sequel to the Academy Award-winner. (mightyape.com.au)
  • This paper presents a method based on adaptive-networkbased fuzzy inference system (ANFIS) to calculate the resonant frequency of a circular microstrip antenna (MSA) with a dielectric cover. (jpier.org)
  • Then, optimization methods are used such as the Augmented Lagrange Multiplier Method (ALM), Alternating Direction Method (ADM), Fast Alternating Minimization (FAM), Iteratively Reweighted Least Squares (IRLS ) or alternating projections (AP). (wikipedia.org)
  • A novel method is presented and explored within the framework of Potts neural networks for solving optimization problems with a non-trivial topology, with the airline crew scheduling problem as a target application. (lu.se)
  • The Kepner-Tregoe Matrix is a special, well-orchestrated, synchronized and documented Root Cause Analysis and decision-making method. (12manage.com)
  • Rather, the intention is to identify wellestablished methods that are used as the standard methods of analysis. (cdc.gov)
  • The new ultra-high performance super- critical fluid chromatography method was also applied for the qualitative and quantitative analysis of lignin-derived phenolic compounds obtained upon alkaline cupric oxide oxida- tion of a commercial humic acid. (lu.se)
  • The high separation power and short analysis time obtained demonstrate for the first time that supercritical fluid chromatography is a fast and reliable technique for the analysis of lignin-derived phenols in complex environmental samples. (lu.se)
  • Methods reported for the analysis of 11 major lignin- mic substances. (lu.se)
  • Because of the highly polar characteristics, analysis of these compounds in complex sample matrices is often challenging. (cdc.gov)
  • The lower detection limit of the MS method was less than 1 mg/m3 propylene glycol dinitrate in air, but no information on accuracy and precision was reported. (cdc.gov)
  • Experimental results show that the new method provides a speedup of up to 1000x without any accuracy loss compared to the HotSpot simulator. (umass.edu)
  • The Laplacian is discretized using finite differences on one interval and finite elements on the other and the im- plicit Euler method is used for the time discretization. (lu.se)
  • Thus, we consider a complete discretization of the coupled problem using finite differences on one domain and finite elements on the other (in space) and the implicit Euler method in time. (lu.se)
  • Let's say I have a moderate-sized symmetric matrix. (sas.com)
  • To be definite, I'll compare the times for symmetric matrices that have up to 2,500 rows and columns. (sas.com)
  • The following loop constructs a random symmetric matrix for a range of matrix sizes. (sas.com)
  • If as matrix transforms vectors in a particular way, then the inverse matrix can transform them back. (unity3d.com)
  • Actually, it was necessary to transform whole matrices of such functions, so a fast transform method was desirable. (colorado.edu)
  • A-TEEM is simple, fast and requires minimal sample preparation. (horiba.com)
  • A disadvantage of this method is that sample preparation is time consuming, taking 2-3 hours. (cdc.gov)
  • However, a more rapid GC method enables sample preparation to be completed within 5 minutes (Erk et al. (cdc.gov)
  • Multiplying a matrix and a vector is, in comparison, a trivial computation. (sas.com)
  • where J is the Jacobian matrix that contains first derivatives of the network errors with respect to the weights and biases, and e is a vector of network errors. (mathworks.com)
  • We discuss the key building blocks in the -matrix construction and prove the linear-logarithmic costs for the memory requirements and for the matrix-by-vector product. (mpg.de)
  • Non-negative matrix factorization (Nmf) is an important tool in high-performance large scale data analytics with applications ranging from community detection, recommender system, feature detection and linear and non-linear unmixing. (osti.gov)
  • not generally advisable for data frames as it will coerce to a matrix first. (stackoverflow.com)
  • At each prediction level, data matrices and result files are produced. (cdc.gov)
  • Therefore, this area has received significant attention from researchers seeking to develop more robust and versatile methods for UAV cooperative decision-making. (frontiersin.org)
  • The power iteration method requires that you repeatedly multiply a candidate eigenvector, v , by the matrix and then renormalize the image to have unit norm. (sas.com)
  • It is easy to implement a SAS/IML module that implements the power iteration method for a matrix whose dominant eigenvalue is positive. (sas.com)
  • The machine learning methods used to analyze multidimensional signals are important components of the e-no. (researchgate.net)
  • The long-running step was a function that finds the largest eigenvalue (and associated eigenvector) for a matrix that has thousands of rows and columns. (sas.com)
  • A The matrix whose largest eigenvalue is desired. (sas.com)
  • As a consequence, it provides a constructive tool for the efficient matrix representation and fast matrix arithmetics in a wide range of applications. (mpg.de)
  • begingroup$ I think a key point here is whether you want a copy of the original matrix with the diagonals replaced (a 'new' matrix) or the original matrix with the diagonal replaced ('in place' modification). (stackexchange.com)
  • The focus of this paper is to investigate the ability to assess the flow exchanges between the matrix and the conduits in two karstified watersheds (Aliou and Baget, Ariège, France) using the KarstMod modeling platform. (mdpi.com)
  • First, the flow dynamics between the conduit and the surrounding matrix are described on a rainfall event scale (i.e., a few days). (mdpi.com)
  • Acceptable flow properties were achieved by applying a wet granulation method. (who.int)
  • The Jacobian matrix can be computed through a standard backpropagation technique (see [ HaMe94 ]) that is much less complex than computing the Hessian matrix. (mathworks.com)
  • Alkaline cupric oxide (CuO) oxidation is one of the mostly performance supercritical fluid chromatography (UHPSFC) adopted methods for analyzing lignin in various complex using columns with sub-2 m packing can further improve environmental matrices such as soils and sediments [9]. (lu.se)
  • We have methods set up for precise U-Pb ages for a number of uranium bearing accessory minerals such as zircon, monazite, baddeleyite, rutile, titanite and apatite among others. (lu.se)
  • Each statistical method differed in how the samples that had results below the limit of detection (LOD) were treated. (cdc.gov)
  • 1982). This rapid method reliably detects propylene glycol dinitrate in blood at concentrations ranging from 0.01 µg/mL to 25 µg/mL. (cdc.gov)
  • Analytical method comparison between IS demonstrated a quantitative bias for urinary 2MHA results, with concentrations generated with 2MHA-[2H7] on average 59.2% lower than concentrations generated by 2MHA-[13C6]. (cdc.gov)
  • We present two computationally inexpensive techniques for estimating the numerical rank of a matrix, combining powerful tools from computational linear algebra. (mlr.press)
  • HORIBA's patented optical method, Absorbance-Transmittance fluorescence Excitation Emission matrix (A-TEEM) spectroscopy can facilitate rapid, accurate results comparable to traditional analytical techniques. (horiba.com)
  • There are may pain relief methods that you may have tried in the past, be it medications, physical therapy, massage, chiropractic work, or a variety of alternative medicine techniques. (marsh.net)
  • There, an explicit time integration method was chosen with respect to the interface unknowns. (lu.se)
  • Additional types and functions are added to the public API: - The `pixman_dither_t` enum exposes the available dithering methods. (freedesktop.org)
  • The method is explored on a set of synthetic dealt with in a straightforward way using ``stan- problems, which are generated to resemble two dard'' ANN energy functions similar to those en- real-world problems representing long and medi- countered in spin physics. (lu.se)
  • The method was designed to generate test matrices for extreme-scale benchmarks such as the High-performance Linpack Benchmark (HPL) or the HPL-AI Mixed-Precision Benchmark . (mathworks.com)
  • Newton's method is faster and more accurate near an error minimum, so the aim is to shift toward Newton's method as quickly as possible. (mathworks.com)
  • We show that this method performs as accurately as SRP-PHAT, while reducing significantly the amount of computation required. (arxiv.org)