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The underdamped, non-linear, generalized Langevin equation is widely used to model coarse-grained dynamics of soft and biological materials. By means of a projection operator formalism, we show under which approximations this equation can…

软凝聚态物质 · 物理学 2022-02-04 Fabian Glatzel , Tanja Schilling

We consider nonequilibrium transport in a simple chain of identical mechanical cells in which particles move around. In each cell, there is a rotating disc, with which these particles interact, and this is the only interaction in the model.…

统计力学 · 物理学 2008-07-15 Jean-Pierre Eckmann , Carlos Mejia-Monasterio , Emmanuel Zabey

Many complex systems exhibit interactions that depend not only on pairwise connections, but also group structures and memory effects. To capture such effects, we develop a unified tensor framework for modeling higher-order Markov chains…

系统与控制 · 电气工程与系统科学 2026-04-09 Shaoxuan Cui , Lingfei Wang , Hildeberto Jardon-Kojakhmetov , Karl Henrik Johansson , Ming Cao

We present a unified framework for proving memory lower bounds for multi-pass streaming algorithms that detect planted structures. Planted structures -- such as cliques or bicliques in graphs, and sparse signals in high-dimensional data --…

计算复杂性 · 计算机科学 2026-03-03 Sumegha Garg , Jabari Hastings , Chirag Pabbaraju , Vatsal Sharan

Recent progress in diverse intelligence has shown simple learning capacities below the organism level - single cells and even molecular networks. However, there are still many knowledge gaps around learning capacity above the organism…

种群与进化 · 定量生物学 2026-05-29 Adrita Samanta , Hananel Hazan , Michael Levin

We report short-term memory formation in a nonlinear dynamical system with many degrees of freedom. The system ``remembers'' a sequence of impulses for a transient period, but it coarsens and eventually ``forgets'' nearly all of them. The…

Despite significant advances, continual learning models still suffer from catastrophic forgetting when exposed to incrementally available data from non-stationary distributions. Rehearsal approaches alleviate the problem by maintaining and…

机器学习 · 统计学 2021-03-02 Binh Tang , David S. Matteson

Animals execute goal-directed behaviours despite the limited range and scope of their sensors. To cope, they explore environments and store memories maintaining estimates of important information that is not presently available. Recently,…

Memory-forming properties introduce a new paradigm to the design of adaptive materials. In dense suspensions, an adaptive response is enabled by non-Newtonian rheology; however, typical suspensions have little memory, which implies rapid…

软凝聚态物质 · 物理学 2025-03-13 Hojin Kim , Samantha M. Livermore , Stuart J. Rowan , Heinrich M. Jaeger

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…

无序系统与神经网络 · 物理学 2009-09-29 Florent Krzakala , Federico Ricci-Tersenghi

Habituation - a phenomenon in which a dynamical system exhibits a diminishing response to repeated stimulations that eventually recovers when the stimulus is withheld - is universally observed in living systems from animals to unicellular…

适应与自组织系统 · 物理学 2024-07-26 Matthew Smart , Stanislav Y. Shvartsman , Martin Mönnigmann

Humans are adept at uncovering abstract associations in the world around them, yet the underlying mechanisms remain poorly understood. Intuitively, learning the higher-order structure of statistical relationships should involve complex…

神经元与认知 · 定量生物学 2020-03-26 Christopher W. Lynn , Ari E. Kahn , Nathaniel Nyema , Danielle S. Bassett

Memory formation in matter is a theme of broad intellectual relevance; it sits at the interdisciplinary crossroads of physics, biology, chemistry, and computer science. Memory connotes the ability to encode, access, and erase signatures of…

软凝聚态物质 · 物理学 2019-08-27 Nathan C. Keim , Joseph D. Paulsen , Zorana Zeravcic , Srikanth Sastry , Sidney R. Nagel

We investigate associative-memory behavior in a reconfigurable particle packing programmed by purely local cyclic driving. The system is a two-dimensional bidisperse Lennard--Jones particle assembly with periodic boundaries evolved under…

Asynchrony, overlaps and delays in sensory-motor signals introduce ambiguity as to which stimuli, actions, and rewards are causally related. Only the repetition of reward episodes helps distinguish true cause-effect relationships from…

神经与进化计算 · 计算机科学 2014-09-10 Andrea Soltoggio

Learning representations purely from observations concerns the problem of learning a low-dimensional, compact representation which is beneficial to prediction models. Under the hypothesis that the intrinsic latent factors follow some casual…

机器学习 · 计算机科学 2023-10-24 Mengyue Yang , Xinyu Cai , Furui Liu , Weinan Zhang , Jun Wang

The comprehension of the mechanisms at the basis of the functioning of complexly interconnected networks represents one of the main goals of neuroscience. In this work, we investigate how the structure of recurrent connectivity influences…

无序系统与神经网络 · 物理学 2019-05-14 Sungmin Hwang , Viola Folli , Enrico Lanza , Giorgio Parisi , Giancarlo Ruocco , Francesco Zamponi

Moving average models, linear or nonlinear, are characterized by their short memory. This paper shows that, in the presence of feedback in the dynamics, the above characteristic can disappear.

统计理论 · 数学 2012-05-15 Dong Li , Shiqing Ling , Howell Tong

This thesis is about the study of complex systems through simple models. Our work evidences the relevance of this kind of modeling in science, which provides us with a better understanding of nature at minimum cost. The fundamentals tools…

统计力学 · 物理学 2019-04-09 Carlos A. Plata

Underlying mechanisms of memorization in LLMs -- the verbatim reproduction of training data -- remain poorly understood. What exact part of the network decides to retrieve a token that we would consider as start of memorization sequence?…

计算与语言 · 计算机科学 2026-02-04 Ilya Lasy , Peter Knees , Stefan Woltran