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Hopfield networks are artificial neural networks which store memory patterns on the states of their neurons by choosing recurrent connection weights and update rules such that the energy landscape of the network forms attractors around the…

Neural and Evolutionary Computing · Computer Science 2023-05-10 Thomas F Burns , Tomoki Fukai

Asymmetry in the synaptic interactions between neurons plays a crucial role in determining the memory storage and retrieval properties of recurrent neural networks. In this work, we analyze the problem of storing random memories in a…

Disordered Systems and Neural Networks · Physics 2022-10-11 Fabián Aguirre-López , Mauro Pastore , Silvio Franz

Fitting network models to neural activity is an important tool in neuroscience. A popular approach is to model a brain area with a probabilistic recurrent spiking network whose parameters maximize the likelihood of the recorded activity.…

Machine Learning · Statistics 2021-11-16 Guillaume Bellec , Shuqi Wang , Alireza Modirshanechi , Johanni Brea , Wulfram Gerstner

Multifunctionality is a well observed phenomenological feature of biological neural networks and considered to be of fundamental importance to the survival of certain species over time. These multifunctional neural networks are capable of…

Neural and Evolutionary Computing · Computer Science 2021-02-03 Andrew Flynn , Vassilios A. Tsachouridis , Andreas Amann

For infinitely large sparse networks of spiking neurons mean field theory shows that a balanced state of highly irregular activity arises under various conditions. Here we analytically investigate the microscopic irregular dynamics in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Sven Jahnke , Raoul-Martin Memmesheimer , Marc Timme

Excitation-inhibition (E-I) balance is ubiquitously observed in the cortex. Recent studies suggest an intriguing link between balance on fast timescales, tight balance, and efficient information coding with spikes. We further this…

Neurons and Cognition · Quantitative Biology 2021-05-04 Qianyi Li , Cengiz Pehlevan

We study the dynamics of excitable integrate-and-fire neurons in a small-world network. At low densities $p$ of directed random connections, a localized transient stimulus results in either self-sustained persistent activity or in a brief…

Pattern Formation and Solitons · Physics 2009-11-10 Alex Roxin , Hermann Riecke , Sara A. Solla

A coupled oscillator network may be able to perform an energy-efficient associative memory operation. However, its realization has been difficult because inhomogeneities unavoidably arise among the oscillators during fabrication and lead to…

Mesoscale and Nanoscale Physics · Physics 2024-04-01 Yusuke Imai , Tomohiro Taniguchi

The detection of neuronal communities is addressed with basis on two important concepts from neuroscience: facilitation of neuronal firing and nearly simultaneous beginning of activation of sets of neurons. More specifically,…

Physics and Society · Physics 2008-01-29 Luciano da Fontoura Costa

Neural IR architectures, particularly cross-encoders, are highly effective models whose internal mechanisms are mostly unknown. Most works trying to explain their behavior focused on high-level processes (e.g., what in the input influences…

Information Retrieval · Computer Science 2025-07-22 Mathias Vast , Basile Van Cooten , Laure Soulier , Benjamin Piwowarski

Short-term memory is essential for cognitive processing, yet our understanding of its neural mechanisms remains unclear. Neuroscience has long focused on how sequential activity patterns, where neurons fire one after another within large…

We address the problem of finding patterns from multi-neuronal spike trains that give us insights into the multi-neuronal codes used in the brain and help us design better brain computer interfaces. We focus on the synchronous firings of…

Neural and Evolutionary Computing · Computer Science 2010-06-09 Raajay Viswanathan , P. S. Sastry , K. P. Unnikrishnan

Spiking neural networks drawing inspiration from biological constraints of the brain promise an energy-efficient paradigm for artificial intelligence. However, challenges exist in identifying guiding principles to train these networks in a…

Neural and Evolutionary Computing · Computer Science 2024-04-25 Joseph A. Kilgore , Jeffrey D. Kopsick , Giorgio A. Ascoli , Gina C. Adam

To gain a deeper understanding of the behavior and learning dynamics of (deep) artificial neural networks, it is valuable to employ mathematical abstractions and models. These tools provide a simplified perspective on network performance…

Machine Learning · Computer Science 2023-08-03 Stephan Johann Lehmler , Muhammad Saif-ur-Rehman , Tobias Glasmachers , Ioannis Iossifidis

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in…

Chaotic Dynamics · Physics 2015-06-11 Guillaume Lajoie , Kevin K. Lin , Eric Shea-Brown

Large sparse circuits of spiking neurons exhibit a balanced state of highly irregular activity under a wide range of conditions. It occurs likewise in sparsely connected random networks that receive excitatory external inputs and recurrent…

Neurons and Cognition · Quantitative Biology 2013-08-16 Sven Jahnke , Raoul-Martin Memmesheimer , Marc Timme

Humans and animals have the ability to continually acquire, fine-tune, and transfer knowledge and skills throughout their lifespan. This ability, referred to as lifelong learning, is mediated by a rich set of neurocognitive mechanisms that…

Machine Learning · Computer Science 2019-02-12 German I. Parisi , Ronald Kemker , Jose L. Part , Christopher Kanan , Stefan Wermter

The average length and average relaxation time of attractors in sequence processing neural networks are investigated. The simulation results show that a critical point of $\alpha $, the loading ratio, is found. Below the turning point, the…

Disordered Systems and Neural Networks · Physics 2015-06-24 Yong Chen , Ying Hai Wang , Kong Qing Yang

A synfire chain is a network that can generate repeated spike patterns with millisecond precision. Although synfire chains with only one activity propagation mode have been intensively analyzed with several neuron models, those with several…

Neurons and Cognition · Quantitative Biology 2009-11-13 Kazuya Ishibashi , Kosuke Hamaguchi , Masato Okada

A long time ago in the machine learning literature, the idea of incorporating a mechanism inspired by the human visual system into neural networks was introduced. This idea is named the attention mechanism, and it has gone through a long…

Machine Learning · Computer Science 2022-08-10 Derya Soydaner