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In Hopfield-type associative memory models, memories are stored in the connectivity matrix and can be retrieved subsequently thanks to the collective dynamics of the network. In these models, the retrieval of a particular memory can be…

Neurons and Cognition · Quantitative Biology 2025-10-21 Marco Benedetti , Nicolas Brunel , Enzo Marinari , Ulises Pereira Obilinovic

We identify string corrections to the EM memory effect. Though largely negligible in the low-energy limit, the effect become relevant in high-energy collisions and in extreme events. We illustrate our findings in a simple unoriented bosonic…

High Energy Physics - Theory · Physics 2021-02-03 Alice Aldi , Massimo Bianchi , Maurizio Firrotta

We model spontaneous cortical activity with a network of coupled spiking units, in which multiple spatio-temporal patterns are stored as dynamical attractors. We introduce an order parameter, which measures the overlap (similarity) between…

Neurons and Cognition · Quantitative Biology 2015-06-17 Silvia Scarpetta , Antonio de Candia

We study the worst-case complexity of a non-monotone line search framework that covers a wide variety of known techniques published in the literature. In this framework, the non-monotonicity is controlled by a sequence of nonnegative…

Optimization and Control · Mathematics 2021-05-25 Geovani N. Grapiglia , Ekkehard W. Sachs

We consider the problem of performing linear regression over a stream of $d$-dimensional examples, and show that any algorithm that uses a subquadratic amount of memory exhibits a slower rate of convergence than can be achieved without…

Machine Learning · Computer Science 2020-10-13 Vatsal Sharan , Aaron Sidford , Gregory Valiant

When analyzing real-world data it is common to work with event ensembles, which comprise sets of observations that collectively constrain the parameters of an underlying model of interest. Such models often have a hierarchical structure,…

Machine Learning · Statistics 2024-02-22 Lukas Heinrich , Siddharth Mishra-Sharma , Chris Pollard , Philipp Windischhofer

Search pattern experienced by the processor to search an element in secondary storage devices follows a random sequence. Formally, it is a random walk and its modeling is crucial in studying performance metrics like memory access time. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-09 Surabhi Jain , N. Sadagopan

Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the process of synchronization as function of…

chao-dyn · Physics 2009-10-28 L. Longa , E. M. F. Curado , F. A. Oliveira

Efficient attention deployment in visual search is limited by human visual memory, yet this limitation can be offset by exploiting the environment's structure. This paper introduces a computational cognitive model that simulates how the…

Human-Computer Interaction · Computer Science 2024-09-16 Saku Sourulahti , Christian P Janssen , Jussi PP Jokinen

In order to assess the short-term memory performance of non-linear random neural networks, we introduce a measure to quantify the dependence of a neural representation upon the past context. We study this measure both numerically and…

Disordered Systems and Neural Networks · Physics 2016-03-08 Gilles Wainrib

Due to wide applications in diverse fields, random walks subject to stochastic resetting have attracted considerable attention in the last decade. In this paper, we study discrete-time random walks on complex network with multiple resetting…

Statistical Mechanics · Physics 2021-10-01 Shuang Wang , Hanshuang Chen , Feng Huang

We investigate structure for pairs of randomizations that do not follow each other in a chain. These are unrandomized-inclusive, independent, coincident or double randomizations. This involves taking several structures that satisfy…

Statistics Theory · Mathematics 2010-11-12 C. J. Brien , R. A. Bailey

Random walks are gaining much attention from the networks research community. They are the basis of many proposals aimed to solve a variety of network-related problems such as resource location, network construction, nodes sampling, etc.…

Disordered Systems and Neural Networks · Physics 2009-08-06 Luis Rodero-Merino , Antonio Fernandez Anta , Luis Lopez , Vicent Chovi

In this paper, harmony search algorithm is applied to curriculum-based course timetabling. The implementation, specifically the process of improvisation consists of memory consideration, random consideration and pitch adjustment. In memory…

Artificial Intelligence · Computer Science 2014-01-22 Juliana Wahid , Naimah Mohd Hussin

A family of models of individual discrete choice are constructed by means of statistical averaging of choices made by a subject in a reinforcement learning process, where the subject has short, k-term memory span. The choice probabilities…

Econometrics · Economics 2019-08-20 Misha Perepelitsa

Time non-locality, or memory, is a non-equilibrium property shared by all physical systems. Here, we show that memory is sufficient to induce a phase of spatial long-range order (LRO) even if the system's primary dynamical variables are…

Statistical Mechanics · Physics 2025-12-05 C. Sipling , Y. -H. Zhang , M. Di Ventra

In continual learning, a model learns incrementally over time while minimizing interference between old and new tasks. One of the most widely used approaches in continual learning is referred to as replay. Replay methods support interleaved…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Truman Hickok , Dhireesha Kudithipudi

We study an intermittent random walk on a random network of scale-free degree distribution. The walk is a combination of simple random walks of duration $t_w$ and random long-range jumps. While the time the walker needs to cover all the…

Disordered Systems and Neural Networks · Physics 2015-06-25 A. Ramezanpour

Memory is a complex phenomenon that involves several distinct mechanisms. These mechanisms operate at different spatial and temporal levels. This chapter focuses on the theoretical framework and the mathematical models that have been…

Neurons and Cognition · Quantitative Biology 2021-12-22 Stefano Fusi

Repetition is a basic indicator of musical structure. This study introduces new algorithms for identifying musical phrases based on repetition. Phrases combine to form sections yielding a two-level hierarchical structure. Automatically…

Sound · Computer Science 2020-10-16 Shuqi Dai , Huan Zhang , Roger B. Dannenberg
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