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We investigate the critical behavior of continuous phase transitions in the context of Ginzburg Landau models with a double well effective potential. In particular, we show that the recently proposed configurational entropy, a measure of…

Statistical Mechanics · Physics 2020-12-10 Marcelo Gleiser , Damian Sowinski

The thermodynamic entropy of coarse-grained (CG) models stands as one of the most important properties for quantifying the missing information during the CG process and for establishing transferable (or extendible) CG interactions. However,…

Chemical Physics · Physics 2024-04-10 Jaehyeok Jin , David R. Reichman

In this work we consider the phase transition from ordered to disordered states that occur in the Vicsek model of self-propelled particles. This model was proposed to describe the emergence of collective order in swarming systems. When…

Statistical Mechanics · Physics 2009-07-31 M. Aldana , H. Larralde , B. Vázquez

Configurational entropy (CE) and configurational complexity (CC) are recently popularized information theoretic measures used to study the stability of solitons. This paper examines their behavior for 2D and 3D lattice Ising Models, where…

Statistical Mechanics · Physics 2025-03-06 Damian R Sowinski , Sean Kelty , Gourab Ghoshal

Over the past several years, we have witnessed impressive progress in the field of learned image compression. Recent learned image codecs are commonly based on autoencoders, that first encode an image into low-dimensional latent…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Zongyu Guo , Zhizheng Zhang , Runsen Feng , Zhibo Chen

Dynamical systems are found in innumerable forms across the physical and biological sciences, yet all these systems fall naturally into universal equivalence classes: conservative or dissipative, stable or unstable, compressible or…

Machine Learning · Computer Science 2023-02-28 Matthew Ricci , Noa Moriel , Zoe Piran , Mor Nitzan

Image Coding for Machines (ICM) is becoming more important as research in computer vision progresses. ICM is a vital research field that pursues the use of images for image recognition models, facilitating efficient image transmission and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Takahiro Shindo , Taiju Watanabe , Yui Tatsumi , Hiroshi Watanabe

The standard approach to modeling the human brain as a complex system is with a network, where the basic unit of interaction is a pairwise link between two brain regions. While powerful, this approach is limited by the inability to assess…

Neurons and Cognition · Quantitative Biology 2023-01-16 Thomas F Varley , Maria Pope , Maria Grazia Puxeddu , Joshua Faskowitz , Olaf Sporns

We study a three-level Dicke model in V-configuration under both closed and open conditions. With independently tunable co- and counter-rotating coupling strength of the interaction Hamiltonian, this model is a generalization of the…

Quantum Physics · Physics 2023-04-12 Jingtao Fan , Suotang Jia

We study a system of self-propelled particles whose alignment with neighbors depends on the degree of local alignment. We show that such a local conformity interaction naturally yields a Vicsek-type model with pairwise and three-body…

Statistical Mechanics · Physics 2025-12-23 Iván León , Riccardo Muolo , Hiroya Nakao , Keisuke Taga

In this paper we propose the use of concepts from thermodynamics in the study of crowd dynamics. Our continuous model consists of the continuity equation for the density of the crowd and a kinetic equation for the velocity field. The latter…

Analysis of PDEs · Mathematics 2013-05-15 Joep Evers , Adrian Muntean , Fons van de Ven

Complex systems, from the human brain to the global economy, are made of multiple elements that interact in such ways that the behaviour of the `whole' often seems to be more than what is readily explainable in terms of the `sum of the…

Neurons and Cognition · Quantitative Biology 2021-09-28 Pedro A. M. Mediano , Fernando E. Rosas , Andrea I Luppi , Robin L. Carhart-Harris , Daniel Bor , Anil K. Seth , Adam B. Barrett

When monitoring the dynamics of stochastic systems, such as interacting particles agitated by thermal noise, disentangling deterministic forces from Brownian motion is challenging. Indeed, we show that there is an information-theoretic…

Soft Condensed Matter · Physics 2020-04-16 Anna Frishman , Pierre Ronceray

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

Statistical Mechanics · Physics 2026-04-15 Haim Diamant , Gil Ariel

In this work, we investigate an individual-based model (IBM) for self-propelled agents interacting locally on a plane. Agents are characterized by their position, the angle determining their direction of motion, and their angular velocity.…

Mathematical Physics · Physics 2025-12-22 Sara Merino-Aceituno , Carmela Moschella

Although instantaneous interactions are unphysical, a large variety of maximum entropy statistical inference methods match the model-inferred and the empirically-measured equal-time correlation functions. Focusing on collective motion of…

The predictive advantage of combining several different predictive models is widely accepted. Particularly in time series forecasting problems, this combination is often dynamic to cope with potential non-stationary sources of variation…

Machine Learning · Statistics 2021-04-06 Vitor Cerqueira , Luis Torgo , Carlos Soares , Albert Bifet

Intrinsic Motivation (IM) aims to train agents without external rewards, enabling useful behavior to emerge from the agent's interaction with its environment alone. However, the dominant IM approaches rely on information-theoretic…

Artificial Intelligence · Computer Science 2026-05-12 Tristan Shah , Stas Tiomkin

We develop the neural network based "learning from regression uncertainty" approach for automated detection of phases of matter in nonequilibrium active systems. Taking the flocking phase transition of self-propelled active particles…

Disordered Systems and Neural Networks · Physics 2023-11-09 Wei-Chen Guo , Bao-Quan Ai , Liang He

The constituents of a complex system exchange information to function properly. Their signalling dynamics often leads to the appearance of emergent phenomena, such as phase transitions and collective behaviors. While information exchange…

Physics and Society · Physics 2020-11-18 Arsham Ghavasieh , Carlo Nicolini , Manlio De Domenico
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