• Previously a new method for ultrasound signal characterization using entropy H f was reported, and it was demonstrated that in certain settings, further improvements in signal characterization could be obtained by generalizing to Renyi entropy-based signal characterization I f (r) with values of r near 2 (specifically r=1.99) [M. S. Hughes, J. Acoust. (wustl.edu)
  • Multi-component high entropy alloys (MHEAs), defined as four or more components in roughly equi-atomic concentrations randomly arranged on a single phase crystalline lattice, are of current interest due to both their potential for unique thermodynamic phase stability 1-3 and for their potential applications. (aip.org)
  • In addition, around QCP, the QC scaling is performed by analyzing the entropy and thermal Drude weight to extract the critical exponents ( α , δ , and β ) that fulfill the Essamm-Fisher scaling law, which provides a novel thermodynamic means to detect QPT for experiment. (frontiersin.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)
  • However, there is also a momentum part of the entropy, which turns out to undergo an equal and opposite change when the coordinates are transformed, so that the total thermodynamic entropy remains invariant. (researchgate.net)
  • b. decrease, although you might say not enough information, as we do not have a bearing on the solvent orientation around the ions (the solvent will undergo an increase in entropy), but if you look at the thermodynamic tables, you see there is a decrease in entropy. (libretexts.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)
  • and then its cross-entropy is measured on a test set to assess how accurate the model is in predicting the test data. (wikipedia.org)
  • Kullback-Leibler Divergence Class or relative entropy is a special case of broader divergence. (repec.org)
  • Multivariate normal entropy approximation. (readthedocs.io)
  • For multivariate normal, term k is zero, and therefore the Tsallis entropy is in closed-form. (wikipedia.org)
  • In this research work, we propose a new approach for an emotion recognition system, using multichannel EEG calculation with our developed entropy known as multivariate multiscale modified-distribution entropy ( MM-mDistEn ) which is combined with a model based on an artificial neural network (ANN) to attain a better outcome over existing methods. (hindawi.com)
  • i) A new entropy method called multivariate multiscale modified-distribution entropy (MM-mDistEn) has been developed. (hindawi.com)
  • We mostly used molecular mechanics (MM) in order to model the protein-ligand interactions, which is more approximate than quantum-mechanical (QM) methods, but necessary to reduce the computational cost when doing calculations on protein-ligand systems, which often contain tens of thousand of atoms. (lu.se)
  • Here we attempt to connect three iconic equations in thermodynamics: (1) the Clausius definition of entropy, (2) the Maxwell-Boltzmann energy distribution, and (3) the various statistical definitions of entropy. (wikiversity.org)
  • The goal of this essay is to connect equations (1), (2) and (3) by actual calculation. (wikiversity.org)
  • Return entropy estimate and uncertainty from a random sample. (readthedocs.io)
  • Use sklearn.mixture.BayesianGaussianMixture to estimate entropy. (readthedocs.io)
  • Estimate entropy after a fit. (readthedocs.io)
  • class estimates the covariance from an MCMC sample and uses this covariance to estimate the entropy. (readthedocs.io)
  • This gives a better estimate of the entropy than the equivalent direct calculation, which requires many more samples for a good kernel density estimate. (readthedocs.io)
  • function computes the entropy directly from a set of MCMC samples, normalized by a scale factor computed from the kernel density estimate at a subset of the points. (readthedocs.io)
  • Here, we present an efficient algorithm to estimate the entropy of types with the help of Zhang's estimator. (upc.edu)
  • We tried to estimate this entropy with methods based on fluctuations of interaction energies. (lu.se)
  • This difference is puzzling, because the Shannon and Gibbs entropies have the same functional form. (researchgate.net)
  • For each 5 min time-series of RR intervals we then calculated Shannon entropy, high spectral entropy, high spectral Detrended Fluctuation Analysis, spectral Multi-Taper Method as well as the standard deviation and two commonly used complexity measures: Approximate Entropy and Sample Entropy. (bvsalud.org)
  • In physics, the Tsallis entropy is a generalization of the standard Boltzmann-Gibbs entropy. (wikipedia.org)
  • However, from the years 2000 on, an increasingly wide spectrum of natural, artificial and social complex systems have been identified which confirm the predictions and consequences that are derived from this nonadditive entropy, such as nonextensive statistical mechanics, which generalizes the Boltzmann-Gibbs theory. (wikipedia.org)
  • Tabulated values are given for the relative standard enthalpy, heat capacity, entropy, and Gibbs energy function between 298.15 And 1,800 k. (cdc.gov)
  • In regression, entropy calculation helps quantify the uncertainty associated with different predictions, allowing the AI system to make more informed decisions based on the available data. (ts2.space)
  • Whether in binary or multi-class classification, decision trees, or regression tasks, entropy calculation provides a framework for assessing the reliability and accuracy of predictions. (ts2.space)
  • Density functional theory calculations were carried out for three entropic rocksalt oxides, (Mg 0.1 Co 0.1 Ni 0.1 Cu 0.1 Zn 0.1 )O 0.5 , termed J14, and J14 + Li and J14 + Sc, to understand the role of charge neutrality and electronic states on their properties, and to probe whether simple expressions may exist that predict stability. (aip.org)
  • The calculations predict that the average lattice constants of the ternary structures provide good approximations to that of the random structures. (aip.org)
  • Since there are 2 N outcomes for N fair coins, and log 2 N 2 =N ). In physics, entropy can be troublesome to calculate primarily due to issues concerning the appropriate number of equally probable states. (wikiversity.org)
  • Hawking's calculation posed a paradox - the infamous " black hole information paradox " - that has motivated research in fundamental physics ever since. (quantamagazine.org)
  • Entropy, in the context of AI, refers to the measure of uncertainty or randomness in a given dataset. (ts2.space)
  • By quantifying the uncertainty and randomness in datasets, entropy calculation enables AI systems to evaluate the predictability of outcomes and make informed decisions based on patterns and probabilities. (ts2.space)
  • Entropy is a statistical measure of randomness that can be used to characterize the texture of the input image. (mathworks.com)
  • For example, some systems want to be sure that there is sufficient randomness in the TLS master secret, and this can be accomplished by adding it directly to the master secret calculations. (ietf.org)
  • 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)
  • The docking and simulation results were validated using free binding energies calculation through molecular mechanics with generalized born surface area solvation and molecular mechanics Poisson Boltzmann surface area (MMGBSA/MMPBSA) approaches. (bvsalud.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)
  • Phonon density of states, entropy and melting temperature of aluminum were calculated using this machine learning potential. (nature.com)
  • Unfortunately, the EMTO-CPA code that Chen used for the quantum mechanical density function theory calculations did not lend itself well to the parallel nature of high-performance computing, which typically takes large calculations and divides them into smaller ones that run simultaneously. (materialstoday.com)
  • By calculating the entropy of these features, the AI system can determine the level of uncertainty associated with each feature and assign weights accordingly. (ts2.space)
  • We present a novel analytical method to calculate conformational entropy of ideal cross-linking polymers from the configuration integral by employing a Mayer series expansion. (researchgate.net)
  • How do you calculate the entropy for a truly random fixed length password with these restrictions in mind? (stackexchange.com)
  • Markers of neural autonomic control and neurovisceral complexity (entropy) were computed from HRV time series. (nature.com)
  • Based on the neurovisceral integration model, we hypothesized that neurophysiological complexity may be altered by mild stress, which is reflected in entropy of the cardiac output signal. (nature.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)
  • Computation of the posterior entropy in a Bayesian framework for parameter estimation in biological networks, in: 2010 IEEE International Conference on Control Applications (CCA). (readthedocs.io)
  • In AI, entropy calculation plays a vital role in decision-making processes by providing a framework for evaluating the reliability and accuracy of predictions. (ts2.space)
  • The quantum phase diagram is renormalized by the anisotropy (∆), which manifests a quantum critical point (QCP) h c = 1 + ∆ signaling the transition from gapless Tomonaga-Luttinger liquid (TLL) to gapped ferromagnetic (FM) state, demonstrated by the magnetic entropy and thermal Drude weight. (frontiersin.org)
  • They performed high-throughput quantum mechanical calculations to determine the stability and elastic properties - the ability to regain size and shape on exposure to stress - of more than 7000 high-entropy alloys. (materialstoday.com)
  • Moreover, the limiting form If,∞ is computable directly from the experimentally measured waveform f (t) by an algorithm that is suitable for real-time calculation and implementation. (wustl.edu)
  • We discussed that progress, which centrally involves the concept of entropy, and the search for a "reverse algorithm" that would allow someone to reconstruct a black hole's past. (quantamagazine.org)
  • The concept of entropy calculation originates from information theory, a branch of mathematics and computer science that deals with the quantification, storage, and communication of information. (ts2.space)
  • 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 discrete Tsallis entropy satisfies S q = − lim x → 1 D q ∑ i p i x {\displaystyle S_{q}=-\lim _{x\rightarrow 1}D_{q}\sum _{i}p_{i}^{x}} where Dq is the q-derivative with respect to x. (wikipedia.org)
  • for the histogram count calculation and uses 256 bins so that the pixel values are discrete and directly correspond to a bin value. (mathworks.com)
  • We conclude that entropy may be a promising marker of cognitive tasks and acute mild stress. (nature.com)
  • This entropy largely stems from the fluctuation of the protein and ligand. (lu.se)
  • The concept was introduced in 1988 by Constantino Tsallis as a basis for generalizing the standard statistical mechanics and is identical in form to Havrda-Charvát structural α-entropy, introduced in 1967 within information theory. (wikipedia.org)
  • Among the various available theoretical results which clarify the physical conditions under which Tsallis entropy and associated statistics apply, the following ones can be selected: Anomalous diffusion. (wikipedia.org)
  • The results are in excellent agreement with experimental data and results of full ab initio calculations. (nature.com)
  • Results of study 1 revealed that entropy of Linkography had a high correlation (0.86) with the evaluation scores obtained through a questionnaire, thus confirming the adequacy of using Linkography as a tool in evaluating the creativity of short animation. (ed.gov)
  • The study results showed that there existed alternatives for adjusting this calculation to reflect better the irregularity of ideas, which serves as an indicator of creativity. (ed.gov)
  • interpret results from numerical calculations, and analyse sources of error · describe and present Statistical Mechanical theories for liquids and solutions, and · also evaluate approximations and assess limitations. (lu.se)
  • Several interesting physical systems abide by entropic functionals that are more general than the standard Tsallis entropy. (wikipedia.org)
  • The most commonly investigated high entropy alloy, AlCoCrCuFeNi, has been chosen for optimization of its microstructural and mechanical properties by means of compositional changes and heat treatments. (mdpi.com)
  • A data-driven workflow for mapping the elastic properties of the high-entropy alloy space. (materialstoday.com)
  • Supercomputer simulations are now helping scientists to discover new types of alloys, called high-entropy alloys. (materialstoday.com)
  • High-entropy alloys represent a totally different design concept," said Wei Chen, associate professor of materials science and engineering at the Illinois Institute of Technology, and senior author of the paper. (materialstoday.com)
  • The term 'high entropy' refers to the decrease in energy gained from random mixing of multiple elements at similar atomic fractions, which can stabilize new and novel materials resulting from the mixture. (materialstoday.com)
  • For this study, Chen and his colleagues surveyed a large space of 14 elements and the combinations that yielded high-entropy alloys. (materialstoday.com)
  • This is to our knowledge the largest database of the elastic properties of high-entropy alloys," Chen said. (materialstoday.com)
  • They then applied a Deep Sets architecture, which is an advanced deep learning architecture that generates predictive models for the properties of new high-entropy alloys, to this large dataset. (materialstoday.com)
  • We developed a new machine-learning model and predicted the properties for more than 370,000 high-entropy alloy compositions," Chen explained. (materialstoday.com)
  • In this case, they used it to reveal how individual or combinations of elements affect the properties of high-entropy alloys. (materialstoday.com)
  • We derived some design rules for high-entropy alloy development," Chen said. (materialstoday.com)
  • High-entropy alloys are a new frontier for materials scientists. (materialstoday.com)
  • That's why we perform the high-throughput calculations, in order to survey a very large number of high-entropy alloy spaces and understand their stability and elastic properties," Chen said. (materialstoday.com)
  • For this work, Chen and his colleagues applied a computer network architecture called Deep Sets to model the properties of high-entropy alloys. (materialstoday.com)
  • The Deep Sets architecture can use the elemental properties of individual high-entropy alloys to build predictive models for determining the properties of a new alloy system. (materialstoday.com)
  • This is the recommended method for estimating the entropy of a sample. (readthedocs.io)
  • method computes the entropy associated with the covariance matrix. (readthedocs.io)
  • 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)
  • 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)
  • The method of calculation is that of Lewis and Randall. (fischer-tropsch.org)
  • The method has the additional advantage that in contrast to Monte Carlo calculations the entropy is easily computed. (lu.se)
  • In a sample British Columbia streamflow network, he used joint entropy and a stepwise optimization to maximize the information content. (iwaponline.com)
  • Yet, in my view in the discussion about the entropy and information, clear definitions are just missing. (google.com)
  • 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)
  • The fluctuations of the magnetic field in the solar wind enabled the calculation of the q-triplet (or Tsallis triplet). (wikipedia.org)
  • As we know, the magnetic entropy shows anomaly close to the QCP, where two ground states compete with each other and it does not determine which state to be reside in [ 18 ]. (frontiersin.org)
  • The sheer number of calculations are basically not possible to perform on individual computer clusters or personal computers," Chen said. (materialstoday.com)
  • 2. define and explain the concepts of equilibrium, entropy and statistical weight. (lu.se)
  • The AI system needs to consider the entropy of each class and determine the optimal split that minimizes the overall entropy. (ts2.space)
  • In doing their calculations, thermodynamicists and chemists work with an infinitesimally small fraction of the complete description of a system. (google.com)
  • Which one of the following decreases of the entropy of the system? (libretexts.org)
  • Similar calculations were made for the reaction of cystalline and liquid nickel with gaseous diatomic sulfur for ni3s2(c,1). (cdc.gov)
  • By calculating entropy, AI algorithms can assess the level of disorder or chaos in a dataset, enabling them to make informed decisions based on patterns and probabilities. (ts2.space)
  • Entropy calculation also plays a crucial role in decision tree algorithms, a popular technique in AI. (ts2.space)
  • By iteratively calculating entropy and information gain, decision tree algorithms can create a hierarchical structure that guides decision-making based on the most relevant features. (ts2.space)
  • Understanding AI entropy calculation is essential for both developers and users of AI systems, as it sheds light on the inner workings of these intelligent algorithms and their potential implications. (ts2.space)
  • In a multi-class classification scenario, the entropy calculation becomes more complex. (ts2.space)
  • The work done, the heat transfer, the change in internal energy, the change in enthalpy and the change in entropy . (physicsforums.com)
  • Change in entropy: ΔS=nRln(V f /V i ) Does this work here? (physicsforums.com)
  • Decision trees use entropy calculation to determine the best attribute to split the data at each node, maximizing the information gain and improving the accuracy of predictions. (ts2.space)
  • pip install --upgrade pytest The full changelog is available at https://docs.pytest.org/en/stable/changelog.html . (python.org)