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Animals use past experiences to adapt future behavior. To enable this rapid learning, vertebrates and invertebrates have evolved analogous neural structures like the vertebrate cerebellum or insect mushroom body. A defining feature of these…

Neurons and Cognition · Quantitative Biology 2025-12-24 Lucas Rudelt , Fabian Mikulasch , Viola Priesemann , André Ferreira Castro

Spin-glasses are universal models that can capture complex behavior of many-body systems at the interface of statistical physics and computer science including discrete optimization, inference in graphical models, and automated reasoning.…

Machine Learning · Computer Science 2020-01-14 Gavin S. Hartnett , Masoud Mohseni

Whether deep neural networks can exhibit emergent behaviour is not only relevant for understanding how deep learning works, it is also pivotal for estimating potential security risks of increasingly capable artificial intelligence systems.…

Machine Learning · Computer Science 2025-04-11 Pascal de Jong , Felix Meigel , Steffen Rulands

The relaxation dynamics of many disordered systems, such as structural glasses, proteins, granular materials or spin glasses, is not completely frozen even at very low temperatures. This residual motion leads to a change of the properties…

Soft Condensed Matter · Physics 2009-10-31 Walter Kob , Francesco Sciortino , Piero Tartaglia

The dynamics of gradient-based training in neural networks often exhibit nontrivial structures; hence, understanding them remains a central challenge in theoretical machine learning. In particular, a concept of feature unlearning, in which…

Machine Learning · Computer Science 2026-02-10 Shota Imai , Sota Nishiyama , Masaaki Imaizumi

As children grow older, they develop an intuitive understanding of the physical processes around them. Their physical understanding develops in stages, moving along developmental trajectories which have been mapped out extensively in…

Machine Learning · Computer Science 2023-11-01 Luca M. Schulze Buschoff , Eric Schulz , Marcel Binz

Learning is traditionally studied in biological or computational systems. The power of learning frameworks in solving hard inverse-problems provides an appealing case for the development of `physical learning' in which physical systems…

Disordered Systems and Neural Networks · Physics 2023-03-29 Menachem Stern , Arvind Murugan

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

Disordered Systems and Neural Networks · Physics 2024-05-08 Kenichi Nakazato

Although different learning systems are coordinated to afford complex behavior, little is known about how this occurs. This article describes a theoretical framework that specifies how complex behaviors that might be thought to require…

Artificial Intelligence · Computer Science 2015-03-27 Yanping Liu , Erik D. Reichle

With the rapid discovery of emergent phenomena in deep learning and large language models, understanding their cause has become an urgent need. Here, we propose a rigorous entropic-force theory for understanding the learning dynamics of…

Machine Learning · Computer Science 2026-02-04 Liu Ziyin , Yizhou Xu , Isaac Chuang

Neural networks posses the crucial ability to generate meaningful representations of task-dependent features. Indeed, with appropriate scaling, supervised learning in neural networks can result in strong, task-dependent feature learning.…

Machine Learning · Computer Science 2025-05-13 Alexander van Meegen , Haim Sompolinsky

We observe non-monotonic aging and memory effects, two hallmarks of glassy dynamics, in two disordered mechanical systems: crumpled thin sheets and elastic foams. Under fixed compression, both systems exhibit monotonic non-exponential…

Soft Condensed Matter · Physics 2017-04-14 Yoav Lahini , Omer Gottesman , Ariel Amir , Shmuel M. Rubinstein

Many recent experiments probed the off equilibrium dynamics of spin glasses and other glassy systems through temperature cycling protocols and observed memory and rejuvenation phenomena. Here we show through numerical simulations, using…

Disordered Systems and Neural Networks · Physics 2009-09-29 Florent Krzakala , Federico Ricci-Tersenghi

Learning is a physical process. Here, we aim to study a simple dynamical system composed of springs and sticks capable of arbitrarily approximating any continuous function. The main idea of our work is to use the sticks to mimic a…

Machine Learning · Computer Science 2025-08-27 Luis Mantilla Calderón , Alán Aspuru-Guzik

Disordered solids often change their elastic response as they slowly age. Using experiments and simulations, we study how aging disordered planar networks under an applied stress affects their nonlinear elastic response. We are able to…

Soft Condensed Matter · Physics 2020-11-18 Daniel Hexner , Nidhi Pashine , Andrea J. Liu , Sidney R. Nagel

Learning features invariant to arbitrary transformations in the data is a requirement for any recognition system, biological or artificial. It is now widely accepted that simple cells in the primary visual cortex respond to features while…

Neural and Evolutionary Computing · Computer Science 2020-12-14 Jayanta K. Dutta , Bonny Banerjee

We review the most striking experimental results on aging in a variety of disordered systems, which reveal similar features but also important differences. We argue that a generic model that reproduce many of these features is that of {\it…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud

Learning is a fundamental characteristic of living systems, enabling them to comprehend their environments and make informed decisions. These decision-making processes are inherently influenced by available information about their…

Disordered Systems and Neural Networks · Physics 2025-04-21 Arnab Barua , Haralampos Hatzikirou , Sumiyoshi Abe

Although it has been known for half a century that the physical aging of glasses in experiments is described well by a linear thermal-history convolution integral over the so-called material time, the microscopic definition and…

Soft Condensed Matter · Physics 2022-11-30 Ian M. Douglass , Jeppe C. Dyre

We measure the static frictional resistance and the real area of contact between two solid blocks subjected to a normal load. We show that following a two-step change in the normal load the system exhibits nonmonotonic aging and memory…

Soft Condensed Matter · Physics 2019-08-06 Sam Dillavou , Shmuel M. Rubinstein