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This work introduces a novel, simple, and flexible method to quantify irreversibility in generic high-dimensional time series based on the well-known mapping to a binary classification problem. Our approach utilizes gradient boosting for…

Statistical Mechanics · Physics 2025-01-09 Michele Vodret , Cristiano Pacini , Christian Bongiorno

Thermodynamic irreversibility is a fundamental concept in statistical physics, yet its experimental measurement remains challenging, especially for complex systems. We introduce a novel random coarse-graining framework to identify…

Statistical Mechanics · Physics 2025-09-25 Ruicheng Bao , Naruo Ohga , Sosuke Ito

Reproducibility of a deep-learning fully convolutional neural network is evaluated by training several times the same network on identical conditions (database, hyperparameters, hardware) with non-deterministic Graphics Processings Unit…

Machine Learning · Computer Science 2021-06-01 Wagner Gonçalves Pinto , Antonio Alguacil , Michaël Bauerheim

A defining feature of living matter is the ability to harness energy to self-organize multiscale structures whose functions are facilitated by irreversible nonequilibrium dynamics. While progress has been made in elucidating the underlying…

Complex dissipative systems appear across science and engineering, from polymers and active matter to learning algorithms. These systems operate far from equilibrium, where energy dissipation and time irreversibility govern their behavior…

Machine Learning · Computer Science 2025-11-26 Aiqing Zhu , Beatrice W. Soh , Grigorios A. Pavliotis , Qianxiao Li

Robust Markov decision processes (r-MDPs) extend MDPs by explicitly modelling epistemic uncertainty about transition dynamics. Learning r-MDPs from interactions with an unknown environment enables the synthesis of robust policies with…

Machine Learning · Computer Science 2025-11-21 Yannik Schnitzer , Alessandro Abate , David Parker

Quantifying the irreversibility and dissipation of non-equilibrium processes is crucial to understanding their behavior, assessing their possible capabilities, and characterizing their efficiency. We introduce a physical quantity that…

Statistical Mechanics · Physics 2025-11-13 Alvaro Lanza , Inés Martínez-Martín , Rafael Tapia-Rojo , Stefano Bo

A central problem in machine learning involves modeling complex data-sets using highly flexible families of probability distributions in which learning, sampling, inference, and evaluation are still analytically or computationally…

Machine Learning · Computer Science 2015-11-20 Jascha Sohl-Dickstein , Eric A. Weiss , Niru Maheswaranathan , Surya Ganguli

Modelling real world systems involving humans such as biological processes for disease treatment or human behavior for robotic rehabilitation is a challenging problem because labeled training data is sparse and expensive, while high…

Systems and Control · Electrical Eng. & Systems 2020-06-16 Wenxin Xiao , Armin Lederer , Sandra Hirche

Nonreciprocal interactions are commonplace in continuum-level descriptions of both biological and synthetic active matter, yet studies addressing their implications for time-reversibility have so far been limited to microscopic models.…

Statistical Mechanics · Physics 2023-04-19 Henry Alston , Luca Cocconi , Thibault Bertrand

Uncertainty estimation for unlabeled data is crucial to active learning. With a deep neural network employed as the backbone model, the data selection process is highly challenging due to the potential over-confidence of the model…

Machine Learning · Computer Science 2024-02-14 Xingjian Li , Pengkun Yang , Yangcheng Gu , Xueying Zhan , Tianyang Wang , Min Xu , Chengzhong Xu

Time-irreversibility is a distinctive feature of non-equilibrium dynamics and several measures of irreversibility have been introduced to assess the distance from thermal equilibrium of a stochastically driven system. While the dynamical…

Statistical Mechanics · Physics 2022-02-14 Grzegorz Gradziuk , Gabriel Torregrosa , Chase P. Broedersz

Modeling real-world systems requires accounting for noise - whether it arises from unpredictable fluctuations in financial markets, irregular rhythms in biological systems, or environmental variability in ecosystems. While the behavior of…

Machine Learning · Computer Science 2026-04-08 Matteo Bosso , Giovanni Franzese , Kushal Swamy , Maarten Theulings , Alejandro M. Aragón , Farbod Alijani

We consider a class of models describing an ensemble of identical interacting agents subject to multiplicative noise. In the thermodynamic limit, these systems exhibit continuous and discontinuous phase transitions in a, generally,…

Statistical Mechanics · Physics 2023-10-27 Niccolò Zagli , Grigorios A. Pavliotis , Valerio Lucarini , Alexander Alecio

A simple model of an irreversible process is introduced. The equation of iterations in the model includes a noise generation term. We study the properties of the system when the noise generation term is a stochastic process (e.g. a random…

Chaotic Dynamics · Physics 2007-05-23 M. A. Sozanski , J. J. Zebrowski

Reconstructing the equation of motion and thus the network topology of a system from time series is a very important problem. Although many powerful methods have been developed, it remains a great challenge to deal with systems in high…

Adaptation and Self-Organizing Systems · Physics 2023-08-16 Zishuo Yan , Lili Gui , Kun Xu , Yueheng Lan

Modeling dynamical systems is important in many disciplines, e.g., control, robotics, or neurotechnology. Commonly the state of these systems is not directly observed, but only available through noisy and potentially high-dimensional…

Machine Learning · Statistics 2014-10-29 Niklas Wahlström , Thomas B. Schön , Marc Peter Deisenroth

Self-organizing systems demonstrate how simple local rules can generate complex stochastic patterns. Many natural systems rely on such dynamics, making self-organization central to understanding natural complexity. A fundamental challenge…

Adaptation and Self-Organizing Systems · Physics 2026-01-12 Elias Najarro , Nicolas Bessone , Sebastian Risi

A critical challenge in the data-driven modeling of dynamical systems is producing methods robust to measurement error, particularly when data is limited. Many leading methods either rely on denoising prior to learning or on access to large…

Numerical Analysis · Mathematics 2019-09-04 Samuel H. Rudy , J. Nathan Kutz , Steven L. Brunton

The diffusion-driven Turing instability is a potential mechanism for spatial pattern formation in numerous biological and chemical systems. However, engineering these patterns and demonstrating that they are produced by this mechanism is…

Biological Physics · Physics 2025-12-02 Antonio Matas-Gil , Robert G. Endres
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