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The ``Gibbs Paradox'' refers to several related questions concerning entropy in thermodynamics and statistical mechanics: whether it is an extensive quantity or not, how it changes when identical particles are mixed, and the proper way to…

统计力学 · 物理学 2009-11-07 Chih-Yuan Tseng , Ariel Caticha

Evolution and learning are two of the fundamental mechanisms by which life adapts in order to survive and to transcend limitations. These biological phenomena inspired successful computational methods such as evolutionary algorithms and…

神经与进化计算 · 计算机科学 2019-05-10 Jan Schuchardt , Vladimir Golkov , Daniel Cremers

It has been hypothesized that one of the main reasons evolution has been able to produce such impressive adaptations is because it has improved its own ability to evolve -- "the evolution of evolvability". Rupert Riedl, for example, an…

Neural codes appear efficient. Naturally, neuroscientists contend that an efficient process is responsible for generating efficient codes. They argue that natural selection is the efficient process that generates those codes. Although…

神经元与认知 · 定量生物学 2022-03-21 Han Kim

Many mechanisms, functions and structures of life have been unraveled. However, the fundamental driving force that propelled chemical evolution and led to life has remained obscure. The 2nd law of thermodynamics, written as an equation of…

种群与进化 · 定量生物学 2009-10-15 Arto Annila , Erkki Annila

Enzymes are on the front lines of evolution. All living organisms rely on highly efficient, specific enzymes for growth, sustenance, and reproduction; and many diseases are a consequence of a mutation on an enzyme that affects its catalytic…

分子网络 · 定量生物学 2009-01-07 Nilou Ataie

The Gibbs Mixing Paradox is a conceptual touchstone for understanding mixtures in statistical mechanics. While debates over the theoretical subtleties of particle distinguishability continue to this day, we seek to extend the discussion in…

统计力学 · 物理学 2018-07-31 Cato Sandford , Daniel Seeto , Alexander Y. Grosberg

We review the behaviour of the Gibbs' and conditional entropies in deterministic and stochastic systems and continue to a formulation appropriate for a stochastically perturbed system with delayed dynamics. The underlying question driving…

数学物理 · 物理学 2024-06-24 Michael C. Mackey , Marta Tyran-Kaminska

On the basis of the general form for the energy needed to adapt the connection strengths of a network in which learning takes place, a local learning rule is found for the changes of the weights. This biologically realizable learning rule…

无序系统与神经网络 · 物理学 2009-10-31 M. Heerema , W. A. van Leeuwen

Life occurs in concentrated `Ringer Solutions' derived from seawater that Lesser Blum studied for most of his life. As we worked together, Lesser and I realized that the questions asked of those solutions were quite different in biology…

其他定量生物学 · 定量生物学 2021-09-24 Bob Eisenberg

A central biological question is how natural organisms are so evolvable (capable of quickly adapting to new environments). A key driver of evolvability is the widespread modularity of biological networks--their organization as functional,…

种群与进化 · 定量生物学 2015-03-13 Jeff Clune , Jean-Baptiste Mouret , Hod Lipson

The Gibbs paradox is a conventional paradox in classical statistical mechanics, typically resolved by invoking quantum indistinguishability through the 1/N! correction. In this letter, we present a resolution within classical ensemble…

统计力学 · 物理学 2026-02-09 Zheng Zhang

The quest to comprehend the origins of intelligence raises intriguing questions about the evolution of learning abilities in natural systems. Why do living organisms possess an inherent drive to acquire knowledge of the unknown? Is this…

神经元与认知 · 定量生物学 2023-10-05 Alex Ushveridze

Living beings are able to solve a wide variety of problems that they encounter rarely or only once. Without the benefit of extensive and repeated experience with these problems, they can solve them in an ad-hoc manner. We call this capacity…

人工智能 · 计算机科学 2025-07-17 Alex Baranski , Jun Tani

The Turing machine, as it was presented by Turing himself, models the calculations done by a person. This means that we can compute whatever any Turing machine can compute, and therefore we are Turing complete. The question addressed here…

人工智能 · 计算机科学 2016-09-05 Ramón Casares

`Entropy' appears as driving force in many different evolution equations, both deterministic and stochastic, and in these equations this `entropy' also takes different forms. We show how all these examples can be understood as different…

动力系统 · 数学 2026-03-10 Mark A. Peletier

As Evolutionary Dynamics moves from the realm of theory into application, algorithms are needed to move beyond simple models. Yet few such methods exist in the literature. Ecological and physiological factors are known to be central to…

种群与进化 · 定量生物学 2025-05-20 Bryce Allen Bagley , Navin Khoshnan , Claudia K Petritsch

Learning and the ability to learn are important factors in development and evolutionary processes [1]. Depending on the level, the complexity of learning can strongly vary. While associative learning can explain simple learning behaviour…

神经元与认知 · 定量生物学 2007-05-23 Reimer Kuehn , Ion-Olimpiu Stamatescu

Gibbs paradox in the context of statistical mechanics addresses the issue of additivity of entropy of mixing gases. The usual discussion attributes the paradoxical situation to classical distinguishability of identical particles and credits…

量子物理 · 物理学 2018-11-12 C. S. Unnikrishnan

Since the time of Darwin, scientists have struggled to reconcile the evolution of biological forms in a universe determined by fixed laws. These laws underpin the origin of life, evolution, human culture and technology, as set by the…

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