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An explosive percolation transition is the abrupt emergence of a giant cluster at a threshold caused by a suppression of the growth of large clusters. In this paper, we consider the information entropy of the cluster size distribution,…

统计力学 · 物理学 2021-07-28 Yejun Kang , Young Sul Cho

Optimization results are one method for understanding neural computation from Nature's perspective and for defining the physical limits on neuron-like engineering. Earlier work looks at individual properties or performance criteria and…

神经元与认知 · 定量生物学 2017-12-21 William B Levy , Toby Berger , Mustafa Sungkar

Information theory provides a mathematical foundation to measure uncertainty in belief. Belief is represented by a probability distribution that captures our understanding of an outcome's plausibility. Information measures based on…

信息论 · 计算机科学 2020-01-17 Jed A. Duersch , Thomas A. Catanach

Intelligent behavior in life-like systems often arises from the ability to gather, process, and act on information. While active matter provides a framework for studying life-like dynamics, it typically omits internal information-processing…

统计力学 · 物理学 2026-03-02 Kristian Stølevik Olsen , Mitsusuke Tarama , Hartmut Löwen

This paper presents a model of pedestrian crossing decisions, based on the theory of computational rationality. It is assumed that crossing decisions are boundedly optimal, with bounds on optimality arising from human cognitive limitations.…

This article introduces the physics of information in the context of molecular biology and genomics. Entropy and information, the two central concepts of Shannon's theory of information and communication, are often confused with each other…

生物大分子 · 定量生物学 2007-05-23 Christoph Adami

Perceptual decision making is the subject of many experimental and theoretical studies. Whereas most modeling analysis are based on statistical processes of accumulation of evidence, less attention is being devoted to the modeling with…

生物物理 · 物理学 2018-11-22 Kevin Berlemont , Jean-Pierre Nadal

Subjective expected utility theory assumes that decision-makers possess unlimited computational resources to reason about their choices; however, virtually all decisions in everyday life are made under resource constraints - i.e.…

机器学习 · 统计学 2016-10-07 Pedro A. Ortega , Alan A. Stocker

Information theory provides tools to predict the performance of a learning algorithm on a given dataset. For instance, the accuracy of learning an unknown parameter can be upper bounded by reducing the learning task to hypothesis testing…

量子物理 · 物理学 2026-04-21 Evan Peters

According to the dominant view, time in perceptual decision making is used for integrating new sensory evidence. Based on a probabilistic framework, we investigated the alternative hypothesis that time is used for gradually refining an…

神经元与认知 · 定量生物学 2015-02-12 Máté Lengyel , Ádám Koblinger , Marjena Popović , József Fiser

The concept of Shannon entropy of random variables was generalized to measurable functions in general, and to simple functions with finite values in particular. It is shown that the information measure of a function is related to the time…

信息论 · 计算机科学 2017-01-25 Guo Zhao

We show that the way in which the Shannon entropy of sequences produced by an information source converges to the source's entropy rate can be used to monitor how an intelligent agent builds and effectively uses a predictive model of its…

适应与自组织系统 · 物理学 2007-05-23 James P. Crutchfield , David P. Feldman

The principle of maximum entropy provides a useful method for inferring statistical mechanics models from observations in correlated systems, and is widely used in a variety of fields where accurate data are available. While the assumptions…

神经元与认知 · 定量生物学 2017-06-02 Ulisse Ferrari , Tomoyuki Obuchi , Thierry Mora

Moving groups are routinely faced with a choice of different routes as part of their daily lives, such as choosing between exits from a building. Differences in moving speeds and environmental constraints often lead to individuals being…

物理与社会 · 物理学 2025-12-16 Anna Sigalou , Yunhe Tong , Charlie Pilgrim , Richard P. Mann , Nikolai W. F. Bode

To make decisions organisms often accumulate information across multiple timescales. However, most experimental and modeling studies of decision-making focus on sequences of independent trials. On the other hand, natural environments are…

神经元与认知 · 定量生物学 2018-06-12 Khanh P Nguyen , Kresimir Josic , Zachary P Kilpatrick

The scientific method relies on the iterated processes of inference and inquiry. The inference phase consists of selecting the most probable models based on the available data; whereas the inquiry phase consists of using what is known about…

机器学习 · 统计学 2015-05-19 N. K. Malakar , K. H. Knuth

Current theories suggest that adaptive decision-making necessitates the interaction between multiple decision-making systems. The computational definitions of different models of decision-making suggest interactions with task demands and…

神经元与认知 · 定量生物学 2023-07-28 Ugurcan Mugan , Seiichiro Amemiya , Paul S. Regier , A. David Redish

Although compartmental dynamical systems are used in many different areas of science, model selection based on the maximum entropy principle (MaxEnt) is challenging because of the lack of methods for quantifying the entropy for this type of…

信息论 · 计算机科学 2023-08-23 Holger Metzler , Carlos A. Sierra

We analyze a sequential decision making model in which decision makers (or, players) take their decisions based on their own private information as well as the actions of previous decision makers. Such decision making processes often lead…

机器学习 · 计算机科学 2020-06-09 Wasim Huleihel , Ofer Shayevitz

The general idea of information entropy provided by C.E. Shannon "hangs over everything we do" and can be applied to a great variety of problems once the connection between a distribution and the quantities of interest is found. The Shannon…

核理论 · 物理学 2018-02-20 Chun-Wang Ma , Yu-Gang Ma