• High-entropy materials (HEMs) has become an exciting and vibrant field of materials science as a new generation of materials. (mrs.org)
  • The goal of this symposium is to share the latest research advances in materials with high configurational entropy, including high-entropy and complex concentrated alloys, high-entropy oxides/ nitrides, high-entropy metallic glasses, etc and discuss major materials issues for HEMs from property-targeted design to process optimization, from structures to properties, and from the fundamental science to viable industrial applications. (mrs.org)
  • Huffman coding exploits these information content differences to assign shorter codes to high-entropy symbols, resulting in efficient data compression by reducing the overall average code length. (theoryofcomputation.xyz)
  • Nanowerk Spotlight ) High-entropy alloys (HEAs), which are formed by combining nearly equal parts of several - usually five or more - primary metals, are an emerging class of advanced materials that hold great potential for creating materials with superior mechanical, thermal, and catalytic properties. (nanowerk.com)
  • A new research report in ACS Nano ( ' In Situ Oxidation Studies of High-Entropy Alloy Nanoparticles' ) offers key insights into how HEA nanoparticles behave under high-temperature oxidizing environment and sheds light on future design options of highly stable alloys under complex service conditions. (nanowerk.com)
  • Schematic illustration of the oxidation process of high-entropy alloy nanoparticles. (nanowerk.com)
  • Traditional metals or alloys are believed to form crystalline oxides based on the composition and oxidation conditions, but when five or more principle elements are involved in a single phase, novel behavior during oxidation may exist due to the built-in high entropy,' Boao Song from the Department of Mechanical and Industrial Engineering at the University of Illinois at Chicago, and the paper's first author, tells Nanowerk. (nanowerk.com)
  • These findings suggest the possibility of utilizing these high-entropy alloys for applications where high thermal stability and oxidation resistance are required. (nanowerk.com)
  • High-entropy alloy ( HEA ) nanoparticles (FeCoNiCuPt) show significantly slower oxidation kinetics compared to monometallic and bimetallic nanoparticles due to the formation of a disordered oxide. (anl.gov)
  • A low entropy dataset is highly predictable - whereas a high entropy dataset is less predictable. (bvsalud.org)
  • The performances of GEOD are established by Chi-Square criteria, Root Mean Square Error (RMSE) criteria and Shannon entropy measure, Kullback-Leibler measure. (scirp.org)
  • The differential Shannon entropy of information theory can change under a change of variables (coordinates), but the thermodynamic entropy of a physical system must be invariant under such a change. (researchgate.net)
  • We show that a canonical change of variables can, indeed, alter the spatial component of the thermodynamic entropy just as it alters the differential Shannon entropy. (researchgate.net)
  • Claude Shannon formulated the mathematical expression for entropy, which is now known as Shannon entropy, through a systematic development based on key principles from probability theory and information theory. (theoryofcomputation.xyz)
  • Information content, as determined by Shannon entropy, represents the amount of uncertainty or surprise associated with a particular symbol. (theoryofcomputation.xyz)
  • The phrases "Shannon Information", "Shannon Uncertainty", "Shannon Entropy" are all the same. (uncommondescent.com)
  • When someone transmits 1 megabit of information, the sender is sending 1 megabit of Shannon information, and the receiver is getting a reduction of 1 megabit of Shannon Uncertainty, and the ensemble of all possible configurations of 1 megabits has 1 million degrees of freedom as described by 1 megabit of Shannon entropy. (uncommondescent.com)
  • We usually refer to the Shannon entropy in terms of heads/tails configuration. (uncommondescent.com)
  • For example, we could look at the 4 digit year on a coin and consider the Shannon entropy associated with the year. (uncommondescent.com)
  • The point of these is examples is to show there is no one Shannon Entropy to describe a system. (uncommondescent.com)
  • If we choose to recognize the energy microstates as the chosen microstates to calculate Shannon entropy, that is the thermodynamic entropy of the system expressed in Shannon bits versus the traditional thermodynamic entropy measure in Joules/Kelvin. (uncommondescent.com)
  • Q. How much Shannon Entropy is in a system of 500 fair pure copper pennies? (uncommondescent.com)
  • The four entropy indices, approximate entropy, sample entropy, fuzzy entropy, and Shannon entropy, are extracted for each phase, and a total of 20 features are used. (etri.re.kr)
  • This new random walk maximizes Shannon entropy of trajectories and can be thus called maximal entropy random walk (MERW). (wolfram.com)
  • Shannon Entropy 21 is a measure of lack of knowledge. (bvsalud.org)
  • In contrast to Tsallis and Renyi entropies (discussed next), Shannon entropy is additive. (bvsalud.org)
  • find that the Shannon entropy is not a decreasing function of developmental systems biology, biomathematics pseudo-time but instead it increases towards the time point of commitment before decreasing again. (lu.se)
  • Shannon entropy, where the latter measures the amount of randomness in a probability distribution [2] . (lu.se)
  • This description has been identified as a universal definition of the concept of entropy. (wikipedia.org)
  • http://dx.doi.org/10.1098/rsfs.2018.0040 an analogy to the concept of entropy in statistical mechanics. (lu.se)
  • Austrian physicist Ludwig Boltzmann explained entropy as the measure of the number of possible microscopic arrangements or states of individual atoms and molecules of a system that comply with the macroscopic condition of the system. (wikipedia.org)
  • Secondly, the cross-entropy loss function is improved to a weighted cross entropy loss function, and at last it is applied to intrusion detection to improve the accuracy of intrusion detection. (scirp.org)
  • The experimental results show that the model using the weighted cross-entropy loss function combined with the Gelu activation function under the deep neural network architecture improves the evaluation parameters by about 2% compared with the ordinary cross-entropy loss function model. (scirp.org)
  • Experiments prove that the weighted cross-entropy loss function can enhance the model's ability to discriminate samples. (scirp.org)
  • Zhou, Z. , Huang, H. and Fang, B. (2021) Application of Weighted Cross-Entropy Loss Function in Intrusion Detection. (scirp.org)
  • However, there are some research results that suggest using a different measure, called cross entropy error, is sometimes preferable to using mean squared error. (visualstudiomagazine.com)
  • Shannon's entropy concept found applications not only in communication theory but also in fields like data compression, cryptography, and information retrieval. (theoryofcomputation.xyz)
  • This field is non-trivial, we are only exploring an example from above, and then implementing a minimal data compression algorithm using Shannon's entropy. (theoryofcomputation.xyz)
  • This work investigates a unique application of spectral entropy (Shannon's entropy in the frequency domain) combined with a regularization scheme for an ill-fitted problem to identify the presence of useful task-related information content in fMRI scans. (dal.ca)
  • W.K. Hastings, Monte Carlo sampling methods using Markov chains and their applications. (esaim-ps.org)
  • In this paper, survival data analysis is realized by applying Generalized Entropy Optimization Methods (GEOM). (scirp.org)
  • Entropy Optimization Methods (EOM) have important applications, especially in statistics, economy, engineering and so on. (scirp.org)
  • Generalized Entropy Optimization Methods (GEOM) have suggested distributions in the form of MinMaxEnt which is the closest to statistical data, and MaxMaxEnt which is the furthest from mentioned data in the sense of information theory [1] [2] , respectively. (scirp.org)
  • OBJECTIVES: To combine the TOPSIS and entropy weight methods in practical application and consider the index ordering and weight calculation comprehensively to arrive at the quality evaluation results of each brilliant classroom teaching. (eudl.eu)
  • Regularized spectral entropy was compared to traditional methods of identifying useful information such as the General Linear Model (GLM), as well as known percent signal change in simulated data sets created with noise parameters informed by real data sets, and signal-to-noise ratio (SNR) in idealized signals. (dal.ca)
  • Additionally, spectral entropy was fast to compute and required minimal a priori information compared to other methods used to identify useful task-related information. (dal.ca)
  • The practical elements aim at giving the participants basic knowledge in selecting and applying methods for different applications. (lu.se)
  • We tried to estimate this entropy with methods based on fluctuations of interaction energies. (lu.se)
  • We also saw how a combination of theoretical and experimental methods can shed light on phenomena like entropy-entropy compensation and halogen bonding. (lu.se)
  • Entropy is a scientific concept that is most commonly associated with a state of disorder, randomness, or uncertainty. (wikipedia.org)
  • Entropy is a scientific concept that refers to the measure of the disorder or randomness in a system. (physicsforums.com)
  • Entropy measures the randomness in the material, also understood as the unavailability of energy, within the said compound. (punchlistzero.com)
  • Where enthalpy is a measurement of energy potential, entropy measures the randomness of energy with relation to heat. (punchlistzero.com)
  • Although entropy represents randomness, it can still be calculated and stay consistent with the trends. (punchlistzero.com)
  • In nonlinear dynamics, and to a lesser extent in other fields, a widely used measure of complexity is the Permutation Entropy. (itba.edu.ar)
  • In this contribution, we propose a parametric bootstrap methodology using a symbolic representation of the time series to obtain the distribution of the Permutation Entropy estimator. (itba.edu.ar)
  • The complexity of brain electrical activity, measured by the Permutation Entropy, has been extensively used in epilepsy research for detection in dynamical changes in electroencephalogram (EEG) signal with no consideration of the variability of this complexity measure. (itba.edu.ar)
  • This thesis explores and extends the use of Permutation Entropy (PE), a complexity measure that has been extensively used in the biomedical and physical fields but less so in the area of financial time series. (edu.au)
  • I think entropy is the measure of inverse the intermolecular energy (hydrogen bonds,etc) , pressure is the measure of extramolecular energy (that is generated by breaking the intermolecular constraints) and chemical energy is the enthalpy of compounds (intramolecular energy). (physicsforums.com)
  • Enthalpy vs entropy -what's the difference? (punchlistzero.com)
  • In this article, you will learn the differences between enthalpy and entropy, the H-S Chart, and applications of these properties in the real world. (punchlistzero.com)
  • Understanding enthalpy and entropy clarify what these differences mean and when to use each measurement. (punchlistzero.com)
  • Graphing enthalpy vs entropy allows for the determination of some key properties of the subject material. (punchlistzero.com)
  • The graph allows these property determinations from known entropy and enthalpy values. (punchlistzero.com)
  • The inverse is also true as known physical value properties allow for the determination of enthalpy or entropy. (punchlistzero.com)
  • As enthalpy increases, so does the pressure, whereas as entropy increases the pressure decreases. (punchlistzero.com)
  • The red lines represent the temperature ranges of the material, which change exponentially as enthalpy increases, but only minutely as entropy increases. (punchlistzero.com)
  • The relations between the enthalpy, entropy, and other properties of a material may appear complicated, however, their relationship appears clear on the H-S chart. (punchlistzero.com)
  • Knowing when to use entropy vs. enthalpy allows engineers and system designers to more fully understand and apply thermodynamic cycles and thermal behavior. (punchlistzero.com)
  • Rather than focus on the differences of enthalpy vs. entropy, savvy engineers manipulate these properties to make systems behave a certain way. (punchlistzero.com)
  • To address these critical issues, this paper proposed a novel BD method maximizing negative entropy (NE), shortened as maximum negative entropy deconvolution (MNED). (hud.ac.uk)
  • As a result, isolated systems evolve toward thermodynamic equilibrium , where the entropy is highest. (wikipedia.org)
  • 2. define and explain the concepts of equilibrium, entropy and statistical weight. (lu.se)
  • P.P.B. Eggermont and V.N. LaRiccia, Best asymptotic normality of the Kernel density entropy estimator for Smooth densities. (esaim-ps.org)
  • This study aims to introduce some novel degree-based entropy descriptors such as ENT SO , ENT GH , ENT HG , ENT SS , ENT NSO , ENT NReZ 1 , ENT NReZ 2 and ENT NSS using the respective topological indices. (techscience.com)
  • Shannon recognized that the average information content of a random variable should be a measure of its uncertainty or entropy. (theoryofcomputation.xyz)
  • Outcomes with higher probabilities contribute more to the overall uncertainty, while rare outcomes have a more substantial impact on the measure of entropy. (theoryofcomputation.xyz)
  • Entropy provides a statistic of microscopic uncertainty within a material, colloquially known as disorder. (punchlistzero.com)
  • The word "Information" is preferred over "Uncertainty" and "Entropy" even though as can be seen they will yield essentially the same number. (uncommondescent.com)
  • Accepted: 12 September 2018 tiation progresses, gene expression programmes become more and more constrained and thus the entropy would be expected to decrease. (lu.se)
  • It was established that Shannon, Renyi and Tsallis Entropies and the Higuchi and Katz's fractal dimensions could significantly discriminate the two groups. (bvsalud.org)
  • In this study we enforce five based on entropy: Approximate 18 , Sample 19,20 , Shannon 21 , Renyi 22,23 and Tsallis 24 Entropies and then, the Detrended Fluctuation Analysis (DFA) 25 . (bvsalud.org)
  • however, the entropy optimization distributions conform well. (scirp.org)
  • Herein, a dual entropy multi-objective optimization (DEMO) method uses information theory to identify locations where the addition of a hydrometric station would optimally complement the information content of an existing network. (iwaponline.com)
  • In a sample British Columbia streamflow network, he used joint entropy and a stepwise optimization to maximize the information content. (iwaponline.com)
  • considered joint entropy, transinformation (TI) and total correlation as design objectives and used a weighted single objective optimization method to design a hydrometric network in Texas. (iwaponline.com)
  • Corrigendum to "Intrinsic alegebraic entropy" [J. Pure Appl. (aau.dk)
  • Markers of neural autonomic control and neurovisceral complexity (entropy) were computed from HRV time series. (nature.com)
  • Extended Application of Digital Clock Drawing Test in the Evaluation of Alzheimer's Disease Based on Artificial intelligence and the Neural Basis. (cdc.gov)
  • The threshold values are determined by means of entropy computations that are based on probability distributions of the color intensities of pixels and the spatial similarity of pixel intensities within neighborhoods. (hindawi.com)
  • L. Györfi and E.C. Van Der Meulen, An entropy estimate based on a Kernel density estimation, Limit Theorems in Probability and Statistics Pécs (Hungary). (esaim-ps.org)
  • A.V. Ivanov and M.N. Rozhkova, Properties of the statistical estimate of the entropy of a random vector with a probability density (in Russian). (esaim-ps.org)
  • F.P. Tarasenko, On the evaluation of an unknown probability density function, the direct estimation of the entropy from independent observations of a continuous random variable and the distribution-free entropy test of goodness-of-fit. (esaim-ps.org)
  • The maximum entropy method is a theoretically sound approach to construct an analytical form for the probability density function (pdf) given a sample of random events. (researchgate.net)
  • The plots compare the stationary probability of finding a particle performing a random walk on a 2D square lattice with randomly distributed defects for Generic Random Walk (GRW) and Maximal Entropy Random Walk (MERW). (wolfram.com)
  • Entropy and temperature are introduced there. (physicsforums.com)
  • Entropy derives from the total heat transfer( Q ) and temperature( T ). (punchlistzero.com)
  • With heat capacity( Cp ), initial and final Pressure( P ), initial and final temperature( T ), and the gas constant( R ) provided, users may determine the change in entropy. (punchlistzero.com)
  • The present study is crucial for understanding HEA behavior in oxidizing environments and provides insights into designing high-temperature-resistant materials, durable catalysts, and corrosion-resistance alloys for various applications,'Song concludes. (nanowerk.com)
  • The model demonstrates that solvent molecules absorbed on the surface of the solute are released with increasing temperature, leading to an increase of the total entropy of the system. (aps.org)
  • I also present a brief analysis using the ordinal pattern based tools on monthly sea surface temperature data to demonstrate the potential applications of the PE and PD measures in a wider range of disciplines. (edu.au)
  • Empirical application to high-frequency currency exchange series and sea surface temperature data -- 6. (edu.au)
  • Upon John von Neumann's suggestion, Shannon named this entity of missing information in analogous manner to its use in statistical mechanics as entropy, and gave birth to the field of information theory. (wikipedia.org)
  • The article aims to determine the practical application of graph theory by solving one of the interdisciplinary problems describing the structures of benzenoid hydrocarbons and graphenylene. (techscience.com)
  • These principles are embodied in Bayesian theory, with the entropy function used to assign values to the size distribution constrained by the experimental data, and resulting in a size distribution (or solution) with minimal assumptions. (nist.gov)
  • Single cells in these populations exhibit different com- stem cell differentiation, Shannon information binations of regulator activity that suggest the presence of multiple theory, entropy configurations of a potential differentiation network as a result of multiple entry points into the committed state. (lu.se)
  • The entropy weight method can consider the indicators' information and differences and measure the degree of their contribution to the evaluation results by calculating the entropy value of the hands. (eudl.eu)
  • The differences in the entropy features between the two groups increased after MAT and showed the largest gap in REC2. (etri.re.kr)
  • An application of the parametric bootstrap methodology is used to compare normal and pre-ictal EEG signals. (itba.edu.ar)
  • Wolfram Research (2008), Entropy, Wolfram Language function, https://reference.wolfram.com/language/ref/Entropy.html. (wolfram.com)
  • T. Timberlake, Computer Program STATISTICAL INTERPRETATION OF ENTROPY PACKAGE, Version 2.0 (2010), WWW Document, ( https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10161&DocID=1737 ). (compadre.org)
  • In order to provide a better understanding of this entropy-driven transition, we have studied a statistical mechanical model for the aggregation of macromolecular dimers immersed in solvents. (aps.org)
  • OBJECTIVE: Autonomic imbalance in MDD patients is characterized using entropy measures of heart rate variability (HRV). (etri.re.kr)
  • 9. describe the mechanism behind the pressure in degenerate fermion gases and provide applications in astronomy. (lu.se)
  • I.A. Ahmad and P.E. Lin, A nonparametric estimation of the entropy for absolutely continuous distributions. (esaim-ps.org)
  • D. Chauveau and P. Vandekerkhove, A Monte Carlo estimation of the entropy for Markov chains. (esaim-ps.org)
  • A. Mokkadem, Estimation of the entropy and information of absolutely continuous random variables. (esaim-ps.org)
  • In particular in the paper [6] , it is investigated several problems of hazard rate function estimation based on the maximum entropy principle. (scirp.org)
  • Additionally, I examine the way that PE responds to a number of commonly observed features of financial data, such as high-kurtosis and non-stationarity, in order to provide appropriate interpretation of this measure when it is used in empirical applications. (edu.au)
  • To initialize, control and measure the properties of quantum states, down to the coherent superposition of individual particle states or the entanglement of coupled particles, is at the heart of quantum information processing and applications in quantum technology. (lu.se)
  • We find that the behaviour of this entropy measure is in contrast to these predictions. (lu.se)
  • Entropy in statistical mechanics is a measure of disorder in oy the macrostate of a system. (lu.se)
  • Accurate results of cell nuclei segmentation are often adapted to a variety of applications such as the detection of cancerous cell nuclei and the observation of overlapping cellular events occurring during wound healing process in the human body. (hindawi.com)
  • In this context, in the undifferentiated state, the entropy would be large since fewer constraints exist on the gene expression programmes of the cell. (lu.se)
  • We generalize the standard maximum entropy formulation of classification problems to better handle the case where complex data distributions arise from a mixture of simpler underlying (latent) distributions. (aaai.org)
  • Automated classification of attention deficit hyperactivity disorder and conduct disorder using entropy features with ECG signals. (cdc.gov)
  • We present empirical results for a number of data sets showing that modeling the data as a mixture of latent maximum entropy models gives significant improvement over the standard, single component, maximum entropy approach. (aaai.org)
  • A machine learning approach for screening depression based on the entropy is demonstrated. (etri.re.kr)
  • This paper investigates the impact of the Kolmogorov-Sinai entropy on both the accuracy of probabilistic forecasts and the sluggishness of economic growth. (uni-muenchen.de)
  • In this paper, an automated entropy-based thresholding system for segmentation and quantification of cell nuclei from histologically stained images has been presented. (hindawi.com)
  • The increase in entropy can be thought of as an increase in the number of ways the system can be configured, or a decrease in the number of ways it has been previously configured. (physicsforums.com)
  • We look at how basic theoretical ideas from data compression, such as the notions of entropy, mutual information, and complexity have been used for analyzing biological sequences in order to discover hidden patterns, infer phylogenetic relationships between organisms and study viral populations. (researchgate.net)
  • We furthermore show how one may correctly write the change in total entropy for an isothermal physical process in any set of spatial coordinates. (researchgate.net)
  • The potential applications include developing several classes of the maximum entropy distributions which can be used to model different data-generating distributions that satisfy certain information constraints on the hazard rate function. (scirp.org)
  • Driven by successes in several application areas, maximum entropy modeling has recently gained considerable popularity. (aaai.org)
  • We develop a theoretical framework for characterizing data as a mixture o] maximum entropy models. (aaai.org)
  • 2003) 'Mixtures of Conditional Maximum Entropy Models', Proceedings of the Twentieth International Conference on Machine Learning , p. (aaai.org)
  • A Bayesian/Maximum Entropy (MaxEnt) method for determining crystallite size distribution and morphology from size-broadened x-ray line profiles is presented. (nist.gov)
  • Applying the entropy principle to determine the weights of evaluation indexes has the scientific and the accuracy nature. (hindawi.com)