Results 51 to 60 of about 343,367 (193)

An interpretation for the entropy of a black hole

, 2011
We investigate the meaning of the entropy carried away by Hawking radiations from a black hole. We propose that the entropy for a black hole measures the uncertainty of the information about the black hole forming matter's precollapsed configurations ...
A. Strominger, B. Zhang, Baocheng Zhang, C. Callen, E.D. Belokolos, E.E. Flanagan, G. ’t Hooft, J. Jing, J.D. Bekenstein, J.M. Bardeen, L. Susskind, L. Susskind, Li You, M. Arzano, M.A. Nielsen, M.K. Parikh, Ming-sheng Zhan, Qing-yu Cai, R. Bousso, R. Landauer, R.M. Wald, R.V. Buniy, S. Liberati, S.W. Hawking, S.W. Hawking, S.W. Hawking, S.W. Hawking, T.K. Won, U. Sperhake, W.H. Zurek   +29 more
core   +1 more source

On computation of information entropy measures for certain fractal molecular architectures

Frontiers in Chemistry
Fractal molecular structures constitute a distinct category of systems characterized by self-similarity and hierarchical growth patterns, which can be effectively examined by graph-theoretical methods.
S. Roy, P. Noah Antony Daniel Renai, K. Jyothish   +2 more
doaj   +1 more source

Time Resolution Dependence of Information Measures for Spiking Neurons: Scaling and Universality

Frontiers in Computational Neuroscience, 2015
The mutual information between stimulus and spike-train response is commonly used to monitor neural coding efficiency, but neuronal computation broadly conceived requires more refined and targeted information measures of input-output joint processes.
James P Crutchfield, Michael Robert DeWeese, Sarah E Marzen   +2 more
doaj   +1 more source

On Entropy Estimation of Inverse Weibull Distribution under Improved Adaptive Progressively Type-II Censoring with Applications

Axioms, 2023
This article utilizes improved adaptive progressively Type-II censored data to estimate the entropy of the inverse Weibull distribution. Rényi, q, and Shannon entropy measurements are used to define entropy to achieve this objective.
Farouq Mohammad A. Alam, Mazen Nassar
doaj   +1 more source

A unified framework for information integration based on information geometry

, 2015
We propose a unified theoretical framework for quantifying spatio-temporal interactions in a stochastic dynamical system based on information geometry.
Amari, Shun-ichi, Oizumi, Masafumi, Tsuchiya, Naotsugu   +2 more
core   +1 more source

Evaluation of convex roof entanglement measures [PDF]

, 2014
We show a powerful method to compute entanglement measures based on convex roof constructions. In particular, our method is applicable to measures that, for pure states, can be written as low order polynomials of operator expectation values.
Gühne, Otfried, Moroder, Tobias, Toth, Geza   +2 more
core   +2 more sources

Statistical solutions of hyperbolic conservation laws I: Foundations

, 2016
We seek to define statistical solutions of hyperbolic systems of conservation laws as time-parametrized probability measures on $p$-integrable functions.
Fjordholm, Ulrik Skre, Lanthaler, Samuel, Mishra, Siddhartha   +2 more
core   +1 more source

Image Similarity Metrics in Image Registration [PDF]

, 2010
Measures of image similarity that inspect the intensity probability distribution of the images have proved extremely popular in image registration applications. The joint entropy of the intensity distributions and the marginal entropies of the individual
Hawkes, DJ, Melbourne, A, Ridgway, G
core   +1 more source

On Variational Expressions for Quantum Relative Entropies [PDF]

, 2017
Distance measures between quantum states like the trace distance and the fidelity can naturally be defined by optimizing a classical distance measure over all measurement statistics that can be obtained from the respective quantum states.
Berta, Mario, Fawzi, Omar, Tomamichel, Marco   +2 more
core   +2 more sources

Entropy of Neuronal Spike Patterns

Entropy
Neuronal spike patterns are the fundamental units of neural communication in the brain, which is still not fully understood. Entropy measures offer a quantitative framework to assess the variability and information content of these spike patterns.
Artur Luczak
doaj   +1 more source