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This paper considers the subject of information losses arising from the finite datasets used in the training of neural classifiers. It proves a relationship between such losses as the product of the expected total variation of the estimated…

机器学习 · 计算机科学 2020-01-09 Brandon Foggo , Nanpeng Yu , Jie Shi , Yuanqi Gao

Materials that are constantly driven out of thermodynamic equilibrium, such as active and living systems, typically violate the Einstein relation. This may arise from active contributions to particle fluctuations which are unrelated to the…

统计力学 · 物理学 2025-01-07 Benjamin Sorkin , Haim Diamant , Gil Ariel , Tomer Markovich

The information entropy of a nuclear density distribution is calculated for a number of nuclei. Various phenomenological models for the density distribution using different geometry are employed. Nuclear densities calculated within various…

核理论 · 物理学 2015-06-26 G. A. Lalazissis , S. E. Massen , C. P. Panos , S. S. Dimitrova

A framework for a quantum mechanical information theory is introduced that is based entirely on density operators, and gives rise to a unified description of classical correlation and quantum entanglement. Unlike in classical (Shannon)…

量子物理 · 物理学 2009-10-28 N. J. Cerf , C. Adami

The standard relations between information theory and thermodynamics are challenged. The Szilard engine is revisited and the bound proposed by Landauer is replaced by a different one which includes errors in information processing. Instead…

量子物理 · 物理学 2014-02-12 Robert Alicki

Learning systems acquire structured internal representations from data, yet classical information-theoretic results state that deterministic transformations do not increase information. This raises a fundamental question: how can learning…

机器学习 · 计算机科学 2026-01-29 Daisuke Okanohara

Perfectly rational decision-makers maximize expected utility, but crucially ignore the resource costs incurred when determining optimal actions. Here we propose an information-theoretic formalization of bounded rational decision-making…

统计理论 · 数学 2015-06-04 Pedro A. Ortega , Daniel A. Braun

By considering an explicit nonequilibrium model, we analyze the statistics of the irreversible work, $w_{\rm irr}$, and irreversible entropy production, $\Delta_i s$, within the stochastic energetics framework. Restating the second law of…

We speculate whether the second law of thermodynamics has more to do with Turing machines than steam pipes. It states the logical reversibility of reality as a computation, i.e., the fact that no information is forgotten: nature computes…

量子物理 · 物理学 2018-10-15 Stefan Wolf

We study a two-level system controlled in a discrete feedback loop, modeling both the system and the controller in terms of stochastic Markov processes. We find that the extracted work, which is known to be bounded from above by the mutual…

统计力学 · 物理学 2015-09-02 Jaegon Um , Haye Hinrichsen , Chulan Kwon , Hyunggyu Park

Thermodynamic inference from coarse observations remains a key challenge. Memory, in particular correlations between consecutively observed mesostates, blur signatures of irreversibility and must be accounted for in defining physical…

统计力学 · 物理学 2025-12-24 Tassilo Schwarz , Anatoly B. Kolomeisky , Aljaž Godec

We consider a system of $M$ particles in contact with a heat reservoir of $N\gg M$ particles. The evolution in the system and the reservoir, together with their interaction, are modeled via the Kac's Master Equation. We chose the initial…

数学物理 · 物理学 2021-09-01 Federico Bonetto , Rui Han , Michael Loss

Forgetfulness is a common feature of nature. Moreover, without forgetfulness, repeatability would be impossible. Despite this, small systems constantly leak information about their state to their surroundings, and quantum mechanics tells us…

量子物理 · 物理学 2021-02-05 Pedro Figueroa-Romero

It is shown that for an equilibrium state of time-symmetric system of non-relativistic strings the energy per unit of information transfer (storage, processing) obeys the Bekenstein conjecture. The result is based on a theorem due to…

量子物理 · 物理学 2007-05-23 A. Granik

A key tenet of the Transactional Interpretation of Quantum Mechanics is the idea that photon absorption localizes the absorbing material system. In doing so, it measures the location of the absorber and hence reduces information entropy,…

量子物理 · 物理学 2024-12-31 Andreas Schlatter , R. E. Kastner

We study an information engine operating in an active bath, where a Brownian particle confined in a harmonic trap undergoes feedback-driven displacement cycles. Unlike thermal environments, active baths exhibit temporally correlated…

统计力学 · 物理学 2025-11-27 Sehoon Bahng , Jae Sung Lee , Cheol-Min Ghim

Density destructors are differentiable and invertible transforms that map multivariate PDFs of arbitrary structure (low entropy) into non-structured PDFs (maximum entropy). Multivariate Gaussianization and multivariate equalization are…

We examine non-Markovian effects in an open quantum system from the point of view of information flow. To this end, we consider the spin-boson model with a cold reservoir, accounting for the exact time-dependent correlations between the…

量子物理 · 物理学 2016-07-13 Rebecca Schmidt , Sabrina Maniscalco , Tapio Ala-Nissila

We live within an increasingly technological, information-laden environment for the first time in human evolution.This subjects us, and will continue to subject us in an accelerating fashion, to an unremitting exposure to meaningful…

种群与进化 · 定量生物学 2013-06-13 Marios Kyriazis

Information plays a pivotal role in the thermodynamics of nonequilibrium processes with feedback. However, much remains to be learned about the nature of information fluctuations in small scale devices and their relation with fluctuations…

统计力学 · 物理学 2016-12-21 Martin Luc Rosinberg , Jordan M. Horowitz
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