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The effects of noise on memory in a linear recurrent network are theoretically investigated. Memory is characterized by its ability to store previous inputs in its instantaneous state of network, which receives a correlated or uncorrelated…

Neural and Evolutionary Computing · Computer Science 2025-10-02 JingChuan Guan , Tomoyuki Kubota , Yasuo Kuniyoshi , Kohei Nakajima

Consider a quantum dot coupled to two semi-infinite one-dimensional leads at thermal equilibrium. We turn on adiabatically a bias between the leads such that there exists exactly one discrete eigenvalue both at the beginning and at the end…

Mathematical Physics · Physics 2015-07-23 Horia D. Cornean , Arne Jensen , Gheorghe Nenciu

Many cognitive processes rely on the ability of the brain to hold sequences of events in short-term memory. Recent studies have revealed that such memory can be read out from the transient dynamics of a network of neurons. However, the…

Neurons and Cognition · Quantitative Biology 2012-08-31 Taro Toyoizumi

Many materials that are out of equilibrium can "learn" one or more inputs that are repeatedly applied. Yet, a common framework for understanding such memories is lacking. Here we construct minimal representations of cyclic memory behaviors…

Soft Condensed Matter · Physics 2019-06-13 Joseph D Paulsen , Nathan C Keim

Far-from-equilibrium systems can form memories of previous deformations or driving. In systems from sheared glassy materials to buckling beams to crumpled sheets, this behavior is dominated by return-point memory, in which revisiting a past…

Soft Condensed Matter · Physics 2025-02-11 Chloe W. Lindeman , Travis R. Jalowiec , Nathan C. Keim

Short-term memory in the brain cannot in general be explained the way long-term memory can -- as a gradual modification of synaptic weights -- since it takes place too quickly. Theories based on some form of cellular bistability, however,…

Neurons and Cognition · Quantitative Biology 2013-01-31 Samuel Johnson , J. Marro , Joaquín J. Torres

This study explores the learnability of memory-less and memory-augmented RNNs, which are theoretically equivalent to Pushdown Automata. Empirical results show that these models often fail to generalize on longer sequences, relying more on…

Computation and Language · Computer Science 2024-10-07 Shrabon Das , Ankur Mali

We study the consequences of adopting the memory dependent, non-Markovian, physics with the memory-less over-damped approximation usually employed to investigate Brownian particles. Due to the finite correlation time scale associated with…

Statistical Mechanics · Physics 2019-02-05 Eduardo dos S. Nascimento , Welles A. M. Morgado

Based on the heuristics that maintaining presumptions can be beneficial in uncertain environments, we propose a set of basic axioms for learning systems to incorporate the concept of prejudice. The simplest, memoryless model of a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Andreas U. Schmidt

Brownian oscillator, i.e. a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the…

Statistical Mechanics · Physics 2012-02-21 Lukas Glod , Gabriela Vasziova , Jana Tothova , Vladimir Lisy

In this paper, we introduce variational semantic memory into meta-learning to acquire long-term knowledge for few-shot learning. The variational semantic memory accrues and stores semantic information for the probabilistic inference of…

Machine Learning · Computer Science 2021-07-16 Xiantong Zhen , Yingjun Du , Huan Xiong , Qiang Qiu , Cees G. M. Snoek , Ling Shao

Despite the significance of short-term memory in cognitive function, the process of encoding and sustaining the input information in neural activity dynamics remains elusive. Herein, we unveiled the significance of transient neural dynamics…

Neurons and Cognition · Quantitative Biology 2021-09-01 Kohei Ichikawa , Kunihiko Kaneko

Memory is the fundamental form of temporal complexity: when present but uncontrollable, it manifests as non-Markovian noise; conversely, if controllable, memory can be a powerful resource for information processing. Memory effects arise…

Quantum Physics · Physics 2024-05-07 Philip Taranto , Marco Túlio Quintino , Mio Murao , Simon Milz

Memory encoding by cyclic shear is a reliable process to store information in jammed solids, yet its underlying mechanism and its connection to the amorphous structure are not fully understood. When a jammed sphere packing is repeatedly…

Soft Condensed Matter · Physics 2021-10-27 Francesco Arceri , Eric I. Corwin , Varda F. Hagh

We discuss memory models which are based on tensor decompositions using latent representations of entities and events. We show how episodic memory and semantic memory can be realized and discuss how new memory traces can be generated from…

Artificial Intelligence · Computer Science 2017-08-29 Volker Tresp , Yunpu Ma

Can noise be beneficial to machine-learning prediction of chaotic systems? Utilizing reservoir computers as a paradigm, we find that injecting noise to the training data can induce a stochastic resonance with significant benefits to both…

Machine Learning · Computer Science 2022-11-21 Zheng-Meng Zhai , Ling-Wei Kong , Ying-Cheng Lai

Scrambling quantum systems have attracted attention as effective substrates for temporal information processing. Here we consider a quantum reservoir processing framework that captures a broad range of physical computing models with quantum…

The noise can stabilize a fluctuating or a periodically driven metastable state in such a way that the system remains in this state for a longer time than in the absence of white noise. This is the noise enhanced stability phenomenon,…

Statistical Mechanics · Physics 2007-05-23 Bernardo Spagnolo , Nikolay V. Agudov , Alexander A. Dubkov

The magnetoelectric effects in multiferroics have a great potential in creating next-generation memory devices. We conceive a new concept of non-volatile memories based on a type of nonlinear magnetoelectric effects showing a…

Materials Science · Physics 2016-08-17 Jianxin Shen , Junzhuang Cong , Yisheng Chai , Dashan Shang , Shipeng Shen , Kun Zhai , Ying Tian , Young Sun

We investigate frequency correlations in multiple scattered light that are present in the quantum fluctuations. The memory effect for quantum and classical noise is compared, and found to have markedly different frequency scaling, which was…

Quantum Physics · Physics 2009-11-11 P. Lodahl