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Related papers: Shape is Destiny: Configurational Entropy as a Lif…

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We introduce the Discrete Inverse Continuity Equation (DICE) method, a generative modeling approach that learns the evolution of a stochastic process from given sample populations at a finite number of time points. Models learned with DICE…

Machine Learning · Computer Science 2025-07-08 Tobias Blickhan , Jules Berman , Andrew Stuart , Benjamin Peherstorfer

Despite simplicity, the synchronous cellular automaton [D.A. Young, Math. Biosci. 72, 51 (1984)] enables reconstructing basic features of patterns of skin. Our extended model allows studying the formatting of patterns and their temporal…

Cell Behavior · Quantitative Biology 2018-07-12 R. Piasecki , W. Olchawa , K. Smaga

Adaptive transport networks in biological and physical systems exhibit hierarchical organization, characteristic channel spacing, and robust scaling relations. Existing adaptive network models, formulated on a lattice, successfully…

Adaptation and Self-Organizing Systems · Physics 2026-05-18 Sidney Holden , Mia C. Morrell , Geoffrey Vasil , Eleni Katifori

Decision trees and random forest remain highly competitive for classification on medium-sized, standard datasets due to their robustness, minimal preprocessing requirements, and interpretability. However, a single tree suffers from high…

Machine Learning · Statistics 2025-12-02 Cencheng Shen , Yuexiao Dong , Carey E. Priebe

This work introduces a minimal, information-theoretic dynamical framework for modeling longitudinal cohort data using an entropy-initiated system of coupled-trait ordinary differential equations (ECTO). For each survey wave, item-level…

Quantitative Methods · Quantitative Biology 2026-02-23 Anderson M. Rodriguez

Natural selection has produced an extraordinary diversity of life histories spanning many orders of magnitude in body size, vital rates, and biological times. In general, big and cold organisms grow and reproduce slowly and live long lives;…

Populations and Evolution · Quantitative Biology 2024-12-30 Joseph R. Burger

In the paper the memory effect in the system consisting from a trajectory of process and an environment is considered. The environment is presented by scalar potential and noise. The evolution of system is interpreted as process of the…

General Physics · Physics 2008-01-28 Maxim Budaev

Many physical systems are governed by ordinary or partial differential equations (see, for example, Chapter ''Differential equations'', ''System of Differential Equations''). Typically the solution of such systems are functions of time or…

Numerical Analysis · Mathematics 2023-09-06 Clarissa Astuto , Giovanni Russo

We have been examining factors determining the accuracy of cluster expansion (CE), which is used in combination with many density functional theory (DFT) calculations. With the exception of multicomponent metallic or isovalent ionic…

Materials Science · Physics 2014-02-07 Atsuto Seko , Isao Tanaka

A novel, non-learning-based, saliency-aware, shape-cognizant correspondence determination technique is proposed for matching image pairs that are significantly disparate in nature. Images in the real world often exhibit high degrees of…

Computer Vision and Pattern Recognition · Computer Science 2018-09-14 Arun CS Kumar , Shefali Srivastava , Anirban Mukhopadhyay , Suchendra M. Bhandarkar

We present the Dartmouth Stellar Evolution Emulator (DSEE), a flow-based stellar evolution model emulator trained on a comprehensive database comprising over eight million evolutionary tracks that vary across twenty input-physics dimensions…

Solar and Stellar Astrophysics · Physics 2026-04-09 Jiaqi , Ying , Brian Chaboyer , Phillip A. Cargile , Wenxin Du , George Dufresne

Entropy drives the phase behavior of colloids ranging from dense suspensions of hard spheres or rods to dilute suspensions of hard spheres and depletants. Entropic ordering of anisotropic shapes into complex crystals, liquid crystals, and…

Soft Condensed Matter · Physics 2014-11-26 Greg van Anders , Daphne Klotsa , N. Khalid Ahmed , Michael Engel , Sharon C. Glotzer

Life can be viewed as a localized chemical system that sits on, or in the basin of attraction of, a metastable dynamical attractor state that remains out of equilibrium with the environment. Such a view of life allows that new living states…

Populations and Evolution · Quantitative Biology 2018-01-08 David A. Baum

Stochastic differential equations describe well many physical, biological and sociological systems, despite the simplification often made in their derivation. Here the usage of simple stochastic differential equations to characterize and…

Data Analysis, Statistics and Probability · Physics 2016-07-27 Daniel Pumpe , Maksim Greiner , Ewald Müller , Torsten A. Enßlin

Reservoir computing, a machine learning framework used for modeling the brain, can predict temporal data with little observations and minimal computational resources. However, it is difficult to accurately reproduce the long-term target…

Machine Learning · Computer Science 2025-06-24 Yuji Kawai , Takashi Morita , Jihoon Park , Minoru Asada

Understanding how stochastic and non-linear deterministic processes interact is a major challenge in population dynamics theory. After a short review, we introduce a stochastic individual-centered particle model to describe the evolution in…

Probability · Mathematics 2009-06-29 Regis Ferriere , Viet Chi Tran

We make a detailed theoretical description of the two-dimensional nature of a dc-SQUID, analyzing the coupling between its two orthogonal phase oscillation modes. While it has been shown that the mode defined as "longitudinal" can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Florent Lecocq , Julien Claudon , Olivier Buisson , Pérola Milman

Shapley value is originally a concept in econometrics to fairly distribute both gains and costs to players in a coalition game. In the recent decades, its application has been extended to other areas such as marketing, engineering and…

Machine Learning · Statistics 2023-09-19 Liuqing Yang , Yongdao Zhou , Haoda Fu , Min-Qian Liu , Wei Zheng

In this work we investigate generalized theories of gravity in the so-called configurational entropy (CE) context. We show, by means of this information-theoretical measure, that a stricter bound on the parameter of $f(R,T)$ brane models…

High Energy Physics - Theory · Physics 2016-03-23 R. A. C. Correa , P. H. R. S. Moraes

We study a de-Sitter model in the framework of a Deformed Special Relativity (DSR) inspired structure. The effects of this framework appear as the existence of a fundamental length which influences the behavior of the scale factor. We show…

General Relativity and Quantum Cosmology · Physics 2009-12-15 N. Khosravi , H. R. Sepangi