Asymptotic entropy. Medical search. Frequent questions

We study the asymptotic time behavior of global smooth solutions to general entropy dissipative hyperbolic systems of balance law in m space dimensions, under the Shizuta-Kawashima condition. (sissa.it)
A note on the asymptotic behavior of conditional extremes. (bu.edu)
S. Bianchini, B. Hanouzet and R. Natalini, Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy. (esaim-m2an.org)
The duality principle is also a key ingredient in the formulation of a novel conjecture for the asymptotic behavior of the entanglement entropy of a free fermion system in the general case in which both sets $A$ and $K$ consist of an arbitrary number of blocks. (arxiv.org)

Asymptotic Equipartition Property (AEP): Consequences of the AEP, Typical Sequences, Shannon McMillan Breiman Theorem. (iitk.ac.in)
The asymptotic equipartition property is one of the essence in information theory. (springer.com)
Why Asymptotic Equipartition Property theorem proofs assume the source is memoryless? (stackexchange.com)
I have read some different sources for understanding the Asymptotic Equipartition Property. (stackexchange.com)
Strong and weak) typical sequences: the asymptotic equipartition property, and applications to block coding. (ox.ac.uk)

Following a sudden change of interactions in a system of one-dimensional fermions, we analyze the growth and eventual asymptotic long-time value of the entanglement entropy under a spatial bipartition after the quantum quench. (bu.edu)
By comparing this bosonic entropy with the steady state entanglement entropy per fermion computed with exact diagonalization we find excellent agreement. (bu.edu)
The analysis of the entanglement entropy of a subsystem of a one-dimensional quantum system is a powerful tool for unravelling its critical nature. (arxiv.org)
For instance, the scaling behaviour of the entanglement entropy determines the central charge of the associated Virasoro algebra. (arxiv.org)
For a free fermion system, the entanglement entropy depends essentially on two sets, namely the set $A$ of sites of the subsystem considered and the set $K$ of excited momentum modes. (arxiv.org)
In this work we make use of a general duality principle establishing the invariance of the entanglement entropy under exchange of the sets $A$ and $K$ to tackle complex problems by studying their dual counterparts. (arxiv.org)

P.P.B. Eggermont and V.N. LaRiccia, Best asymptotic normality of the Kernel density entropy estimator for Smooth densities. (esaim-ps.org)

We present a generalized notion of entropy taken with respect to a measure in acoordinate-independent manner and prove several novel entropy convergence theorems. (dtic.mil)
L. Györfi and E.C. Van Der Meulen, Density-free convergence properties of various estimators of the entropy. (esaim-ps.org)
Given n sample data points, we provide non-asymptotic convergence rates for the sample estimate of the entropic transport map to its population version that are essentially of the order n^(-1/2) when the source measure is subgaussian and the target measure has compact support. (jmlr.org)
Asymptotic Convergence of Dual-Tree Entropy Codes. (auth.gr)

Several important questions about the equation concern the asymptotic behaviour of solutions at large times: at what rate do they converge to zero or infinity, and what does the asymptotic profile of the solutions look like? (uni-potsdam.de)
In this talk, we present a probabilistic approach to the study of this asymptotic behaviour. (uni-potsdam.de)
The second result is concerned with the asymptotic behaviour of the solutions of the evolution problem. (psl.eu)

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)

KL Divergence In mathematical statistics, the Kullback-Leibler divergence (also called relative entropy) is a measure of how one probability distribution is different from a second, reference probability distribution. (columbia.edu)
The student will have learned about entropy, mutual information and divergence, their basic properties, how they relate to information transmission. (ox.ac.uk)

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)

Geometrical Foundations of Asymptotic Inference. (wikipedia.org)
A nonparametric approach to the k- sample inference based on entropy. (bu.edu)

Recently Strominger discovered an exact equivalence unifying three disparate phenomena which have been separately studied for the last half-century: quantum field theory, soft theorems, asymptotic symmetries and the memory effect. (worldsciencefestival.com)
Donald S. Ornstein and Benjamin Weiss , Entropy and isomorphism theorems for actions of amenable groups , J. Analyse Math. (ams.org)

2(2), 143--172 (1998)] that characterizes the notion of strong asymptotic arbitrage in terms of the entire asymptotic separation of two sequences of probability measures. (arxiv.org)
The main part of the paper consists of proving the entire separation and is based on a dichotomy result for sequences of Gaussian measures and the concept of relative entropy. (arxiv.org)
On the Optimal Asymptotic Performance of Universal Ordering and Discrimination of Individual Sequences. (auth.gr)

Estimation of spectral density of a stationary time series via an asymptotic representation of the periodogram. (bu.edu)
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)
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)

We have also applied the conjecture to deduce several asymptotic formulas for the mutual and $r$-partite information generalizing the known ones for the single block case. (arxiv.org)

Through this method we develop a new notion of entropy which is tailored to derive lower bounds for asymptotic mean stationarity for both noise-free and noisy channels. (arxiv.org)
For discrete measured groupoids preserving a probability measure we introduce a notion of sofic dimension that measures the asymptotic growth of the number of sofic approximations on larger and larger finite sets. (ams.org)

Tsallis relative entropy theory is found to be closely related to this pricing criterion. (repec.org)
These include his seminal work on Calabi-Yau compactification of string theory which provides a unified framework for quantum gravity and the theory of elementary particles the statistical origin of the Bekenstein-Hawking black hole entropy and the conformal symmetry of astrophysical Kerr black holes. (worldsciencefestival.com)
Vitali D. Milman and Gideon Schechtman , Asymptotic theory of finite-dimensional normed spaces , Lecture Notes in Mathematics, vol. 1200, Springer-Verlag, Berlin, 1986. (ams.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)

The asymptotic capacity in the high-SNR limit is computed for such AWGN channels with manifold constraints in two variants a compact alphabet manifold, and a non-compact scale-invariant alphabet manifoldwith an additional average power constraint on the input distribution. (dtic.mil)
How to find a shift invariant probability measure $\mu$ such that $\int\varphi \,d\mu=0$ and which maximizes the metric entropy $h(\sigma,\mu)$ under this constraint? (mathoverflow.net)
It may be worth noting that even in multifractal papers which do not explicitly formulate a result on maximizing entropy subject to a constraint on $\mu$, such a result is often still implicit. (mathoverflow.net)

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)

Among shift-invariant measures $\mu$ such that $\mu(01*) = 2\mu(11*)$, the Markov measure associated to the transition probabilities \begin{align*} \mathbb{P}(0\to 0) &= 1-a & \mathbb{P}(0\to1) &= a \\ \mathbb{P}(1\to0) &= \frac23 & \mathbb{P}(1\to1) &= \frac13 \end{align*} where $a$ is the only real solution to $$(1-a)^5=\frac{4}{27} a^2 \qquad (a\simeq 0.487803)$$ maximizes entropy. (mathoverflow.net)
We then identify the Malthus exponent and the asymptotic profile in terms of a related Markov process, and give a spectral interpretation in terms of the growth-fragmentation operator and its dual. (uni-potsdam.de)

G.Q. Chen, T.P. Liu and C.D. Levermore, Hyperbolic conservation laws with stiff relaxation terms and entropy. (esaim-m2an.org)

Many of its applications consider information-theoretic quantities such as the entropy and the mutual information, but few fully recognize the underlying essence of them. (springer.com)

S. Deng, Asymptotic Preserving Schemes for Semiconductor Boltzmann Equation in the Diffusive Regime. (esaim-m2an.org)
F. Filbet and S. Jin, An asymptotic preserving scheme for the ES-BGK model for he Boltzmann equation. (esaim-m2an.org)
iii) A local entropy balance equation along the cycle with clear physical meanings. (harvard.edu)

Combined with the computational efficiency of methods in solving the entropy-regularized optimal transport problem, these results enable efficient rank-based GoF statistical computation, even in high dimensions. (jmlr.org)
Regularization by the Shannon entropy enables us to efficiently and approximately solve optimal transport problems on a finite set. (optimization-online.org)

We numerically compute the volume component of our asymptotic capacity expression for a plausible range of performance characteristics of the radar signal processing. (dtic.mil)
At small waiting times after the quench, we map the system to non-interacting bosons such that we are able to extract their occupation numbers from the Fourier transform of the density-density correlation function, and use these to compute a bosonic entropy from a diagonal ensemble. (bu.edu)

Nathanial P. Brown , Kenneth J. Dykema , and Kenley Jung , Free entropy dimension in amalgamated free products , Proc. (ams.org)
Jung implicitly and Hayes explicitly defined \emph{$1$-bounded entropy} through the asymptotic covering numbers of Voiculescu's microstate spaces, that is, spaces of matrix tuples $(X_1^{(N)},X_2^{(N)},\dots)$ having approximately the same $*$-moments as the generators $(X_1,X_2,\dots)$ of a given tracial $\mathrm{W}^*$-algebra. (logicandanalysis.org)

To this end, we establish the duality rule for entropy for nonbinary variable-node (VN) and check-node (CN) convolutional operators to accommodate the nonbinary density evolution (DE) analysis. (deepai.org)

Miao, X., Wang, Y-C. and Gangopadhyay, A. (2012) An entropy-based nonparametric test for the validation of surrogate endpoints. (bu.edu)

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)
We establish an analytical lower bound on the asymptotic secret key rate of continuous-variable quantum key distribution with an arbitrary modulation of coherent states. (quantum-journal.org)

The stability criterion considered is asymptotic mean stationarity (AMS). (arxiv.org)
The workshop places particular emphasis on methods based on an energy or entropy structure, which have proved crucial for questions concerning existence, stability, and the study of asymptotic limits. (wias-berlin.de)
Using an entropy, these stability properties are extended to the non-linear regime. (psl.eu)

Di, J. and Gangopadhyay, A. (2011) On the asymptotic efficiency of semiparametric GARCH models. (bu.edu)

A particular focus is entropy of random variables on smooth submanifolds of RN. (dtic.mil)
among shift-invariant measures $\mu$ such that $\mu(0*) = .9$, the Bernoulli measure of parameter .9 (i.e. the law of the word $\alpha_1\alpha_2\dots$ where the $\alpha_j$ are i.i.d. random variables taking the value $0$ with probability .9) maximizes entropy. (mathoverflow.net)
Shannon Entropy is the preeminent tool for measuring the level of uncertainty (and conversely, information content) in a random variable. (arxiv.org)
In the field of communications, entropy can be used to express the information content of given signals (represented as time series) by considering random variables which sample from specified subsequences. (arxiv.org)

S. Jin, Efficient asymptotic-preserving (AP) schemes for some multiscale kinetic equations. (esaim-m2an.org)

David Kerr and Hanfeng Li , Entropy and the variational principle for actions of sofic groups , Invent. (ams.org)

The resulting entropies agree closely with those determined experimentally for a wide range of industrially important liquids and reveal the entropy contributions from the different degrees of freedom. (mdpi.com)

More precisely, we show the existence of a strong asymptotic arbitrage (defined as in Kabanov and Kramkov [Finance Stoch. (arxiv.org)

In this work, we provide a solution to this problem by deriving an explicit analytical lower bound on the asymptotic secret key rate of any standard one-way CV QKD protocol. (quantum-journal.org)

J.A. Carrillo, B. Yan, An Asymptotic Preserving Scheme for the Diffusive Limit of Kinetic systems for Chemotaxis. (esaim-m2an.org)
F. Filbet and S. Jin, A class of asymptotic preserving schemes for kinetic equations and related problems with stiff sources. (esaim-m2an.org)

Differential Entropy: Definition, Properties. (iitk.ac.in)

P. Degond, J.-G. Liu and M-H Vignal, Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit. (esaim-m2an.org)

asymptotic analysis. (wias-berlin.de)

The buyer evaluates the contingent claim under the ``distorted Radon-Nikodym derivative'' and adjustment by Tsallis relative entropy over a family of equivalent martingale measures. (repec.org)

Guidelines for the tuning parameter selection and the asymptotic distribution of this estimator are provided. (ibm.com)

Sofic measure entropy via finite partitions. (ams.org)

Something about an insertion of mass into de-Sitter space changing the volume entropy and giving rise to a displacement vector that has something to do with the Newtonian potential. (blogspot.com)

These questions have traditionally been studied using analytic techniques such as entropy methods or splitting of operators. (uni-potsdam.de)

Chemicals and Drugs4

Analytical, Diagnostic and Therapeutic Techniques and Equipment8

Phenomena and Processes10

Disciplines and Occupations2

Information Science4

Health Care1

Behavior4

Equipartition5

Entanglement entropy6

Normality1

Convergence4

Behaviour3

Cross-entropy1

Divergence2

Probability and Statis1

Inference2

Theorems2

Sequences3

Estimation5

Formulas1

Notion2

Theory3

Estimate1

Constraint3

Scaling1

Markov2

Hyperbolic1

Mutual1

Equation3

Optimal Transport2

Compute2

Jung2

Duality1

Nonparametric1

Quantum2

Stability3

Efficiency1

Random4

Efficient1

Kerr1

Closely1

Existence1

Rate1

Kinetic2

Definition1

Limit1

Analysis1

Relative1

Distribution1

Measure1

Volume1

Methods1