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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

Evolution equations are derived for the amplitudes of associative memories: heterogeneous states stored in the connectivity of distributed systems with non-local interactions. The resulting coupled amplitude equations describe the…

Neurons and Cognition · Quantitative Biology 2025-10-20 Akke Mats Houben

The study of the long time conservation for numerical methods poses interesting and challenging questions from the point of view of geometric integration. In this paper, we analyze the long time energy and magnetic moment conservations of…

Numerical Analysis · Mathematics 2021-10-19 Bin Wang , Xinyuan Wu , Yonglei Fang

A new approach to describing correlation properties of complex dynamic systems with long-range memory based on a concept of additive Markov chains (Phys. Rev. E 68, 061107 (2003)) is developed. An equation connecting a memory function of…

Classical Physics · Physics 2007-05-23 S. S. Melnyk , O. V. Usatenko , V. A. Yampol'skii

Due to the point-like nature of neuronal spiking, efficient neural network simulators often employ event-based simulation schemes for synapses. Yet many types of synaptic plasticity rely on the membrane potential of the postsynaptic cell as…

Neurons and Cognition · Quantitative Biology 2022-04-05 Jonas Stapmanns , Jan Hahne , Moritz Helias , Matthias Bolten , Markus Diesmann , David Dahmen

Detecting dynamic patterns of task-specific responses shared across heterogeneous datasets is an essential and challenging problem in many scientific applications in medical science and neuroscience. In our motivating example of rodent…

Neurons and Cognition · Quantitative Biology 2024-07-02 Yubai Yuan , Babak Shahbaba , Norbert Fortin , Keiland Cooper , Qing Nie , Annie Qu

In this article, we propose a novel form of unsupervised learning, continual competitive memory (CCM), as well as a computational framework to unify related neural models that operate under the principles of competition. The resulting…

Machine Learning · Computer Science 2021-06-28 Alexander G. Ororbia

We study the generalized dynamic factor model in a long-memory setting. Unlike most recent work, which assumes a finite-dimensional factor space and short memory, our framework allows the factor space to be infinite-dimensional and the…

Statistics Theory · Mathematics 2026-05-26 Qin Wen , Clifford M. Hurvich

We study the storage and retrieval of phase-coded patterns as stable dynamical attractors in recurrent neural networks, for both an analog and a integrate-and-fire spiking model. The synaptic strength is determined by a learning rule based…

Neurons and Cognition · Quantitative Biology 2010-09-08 S. Scarpetta , A. de Candia , F. Giacco

Reliable traffic flow prediction is crucial to creating intelligent transportation systems. Many big-data-based prediction approaches have been developed but they do not reflect complicated dynamic interactions between roads considering…

Machine Learning · Computer Science 2023-06-21 Won Kyung Lee , Deuk Sin Kwon , So Young Sohn

Synaptic plasticity, the dynamic tuning of signal transmission strength between neurons, serves as a fundamental basis for memory and learning in biological organisms. This adaptive nature of synapses is considered one of the key features…

Mesoscale and Nanoscale Physics · Physics 2024-11-11 Yechan Noh , Alex Smolyanitsky

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

Probability · Mathematics 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

Despite advances in deep learning, neural networks can only learn multiple tasks when trained on them jointly. When tasks arrive sequentially, they lose performance on previously learnt tasks. This phenomenon called catastrophic forgetting…

Machine Learning · Computer Science 2018-05-29 Nitin Kamra , Umang Gupta , Yan Liu

Attractor networks are an influential theory for memory storage in brain systems. This theory has recently been challenged by the observation of strong temporal variability in neuronal recordings during memory tasks. In this work, we study…

Neurons and Cognition · Quantitative Biology 2021-12-02 Ulises Pereira-Obilinovic , Johnatan Aljadeff , Nicolas Brunel

The subject of study is a neural network with binary neurons, randomly diluted synapses and variable pattern activity. We look at the system with parallel updating using a probabilistic approach to solve the one step dynamics with one…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Grosskinsky

With the rapid advancement of AI systems, their abilities to store, retrieve, and utilize information over the long term - referred to as long-term memory - have become increasingly significant. These capabilities are crucial for enhancing…

Artificial Intelligence · Computer Science 2025-01-14 Zihong He , Weizhe Lin , Hao Zheng , Fan Zhang , Matt W. Jones , Laurence Aitchison , Xuhai Xu , Miao Liu , Per Ola Kristensson , Junxiao Shen

Synaptic connections are known to change dynamically. High-frequency presynaptic inputs induce decrease of synaptic weights. This process is known as short-term synaptic depression. The synaptic depression controls a gain for presynaptic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Narihisa Matsumoto , Daisuke Ide , Masataka Watanabe , Masato Okada

Continual learning remains a fundamental challenge in artificial intelligence, with catastrophic forgetting posing a significant barrier to deploying neural networks in dynamic environments. Inspired by biological memory consolidation…

Machine Learning · Computer Science 2025-12-19 Goutham Nalagatla , Shreyas Grandhe

Proteins have been empirically linked to memory. If memory relates to protein structure, then each conformation would_functionally_ code only one bit, making it difficult to explain large memories. Nor is there a simple way to relate memory…

General Physics · Physics 2011-07-22 C. K. Raju

Memory is inherently entangled with prediction and planning. Flexible behavior in biological and artificial agents depends on the interplay of learning from the past and predicting the future in ever-changing environments. This chapter…

Artificial Intelligence · Computer Science 2024-02-21 Ida Momennejad