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We complement our previous work [arxiv: 0707.0565] with the full (non diluted) solution describing the stable states of an attractor network that stores correlated patterns of activity. The new solution provides a good fit of simulations of…

Disordered Systems and Neural Networks · Physics 2007-07-23 Emilio Kropff

In recurrent neural networks (RNNs) used to model biological neural networks, noise is typically introduced during training to emulate biological variability and regularize learning. The expectation is that removing the noise at test time…

Neural and Evolutionary Computing · Computer Science 2026-01-09 Noah Eckstein , Manoj Srinivasan

It is known that storage capacity per synapse increases by synaptic pruning in the case of a correlation-type associative memory model. However, the storage capacity of the entire network then decreases. To overcome this difficulty, we…

Disordered Systems and Neural Networks · Physics 2007-05-23 Seiji Miyoshi , Masato Okada

The human brain is autonomously active. To understand the functional role of this self-sustained neural activity, and its interplay with the sensory data input stream, is an important question in cognitive system research and we review here…

Neurons and Cognition · Quantitative Biology 2009-03-03 Claudius Gros

Recurrent neural networks (RNNs) have drawn interest from machine learning researchers because of their effectiveness at preserving past inputs for time-varying data processing tasks. To understand the success and limitations of RNNs, it is…

Information Theory · Computer Science 2017-01-30 Adam Charles , Dong Yin , Christopher Rozell

The associative memory model is a typical neural network model, which can store discretely distributed fixed-point attractors as memory patterns. When the network stores the memory patterns extensively, however, the model has other…

Neurons and Cognition · Quantitative Biology 2014-11-27 Shin Murata , Yosuke Otsubo , Kenji Nagata , Masato Okada

Neural networks (NN)-based learning algorithms are strongly affected by the choices of initialization and data distribution. Different optimization strategies have been proposed for improving the learning trajectory and finding a better…

Machine Learning · Computer Science 2021-03-19 Yimeng Min

Classical autoassociative memory models have been central to understanding emergent computations in recurrent neural circuits across diverse biological contexts. However, they typically neglect neuromodulatory agents that are known to…

Neurons and Cognition · Quantitative Biology 2025-12-17 Daiki Goto , Hector Manuel Lopez Rios , Monika Scholz , Suriyanarayanan Vaikuntanathan

Kernel-based learning methods can dramatically increase the storage capacity of Hopfield networks, yet the dynamical mechanisms behind this enhancement remain poorly understood. We address this gap by combining a geometric characterization…

Machine Learning · Computer Science 2026-04-13 Akira Tamamori

The global asymptotic behavior of a stochastic Hopfield neural network model (HNNM) with delays is explored by studying the existence and structure of random attractors. It is first proved that the trajectory field of the stochastic delayed…

Dynamical Systems · Mathematics 2023-02-14 Wenjie Hu , Quanxin Zhu , Peter E. Kloeden

The significant computational costs of deploying neural networks in large-scale or resource constrained environments, such as data centers and mobile devices, has spurred interest in model compression, which can achieve a reduction in both…

Computer Vision and Pattern Recognition · Computer Science 2017-02-27 Jonathan A. Cox

A novel strategy to automated classification is introduced which exploits a fully trained dynamical system to steer items belonging to different categories toward distinct asymptotic attractors. These latter are incorporated into the model…

Disordered Systems and Neural Networks · Physics 2023-02-01 Lorenzo Chicchi , Duccio Fanelli , Lorenzo Giambagli , Lorenzo Buffoni , Timoteo Carletti

Short-term synaptic plasticity (STSP) affects the efficiency of synaptic transmission for persistent presynaptic activities. We consider attractor neural networks, for which the attractors are given, in the absence of STSP, by cell…

Neurons and Cognition · Quantitative Biology 2019-04-09 Bulcsú Sándor , Claudius Gros

We examine a previouly introduced attractor neural network model that explains the persistent activities of neurons in the anterior ventral temporal cortex of the brain. In this model, the coexistence of several attractors including…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. Uezu , A. Hirano , M. Okada

In this paper, we propose a recurrent neural network (RNN) with residual attention (RRA) to learn long-range dependencies from sequential data. We propose to add residual connections across timesteps to RNN, which explicitly enhances the…

Machine Learning · Computer Science 2017-09-19 Cheng Wang

Training recurrent neural networks (RNNs) is a high-dimensional process that requires updating numerous parameters. Therefore, it is often difficult to pinpoint the underlying learning mechanisms. To address this challenge, we propose to…

Neurons and Cognition · Quantitative Biology 2025-02-12 Udith Haputhanthri , Liam Storan , Yiqi Jiang , Tarun Raheja , Adam Shai , Orhun Akengin , Nina Miolane , Mark J. Schnitzer , Fatih Dinc , Hidenori Tanaka

Multifunctional biological neural networks exploit multistability in order to perform multiple tasks without changing any network properties. Enabling artificial neural networks (ANNs) to obtain certain multistabilities in order to perform…

Dynamical Systems · Mathematics 2023-10-20 Andrew Flynn , Vassilios A. Tsachouridis , Andreas Amann

Although conditional branching between possible behavioural states is a hallmark of intelligent behavior, very little is known about the neuronal mechanisms that support this processing. In a step toward solving this problem we demonstrate…

Neurons and Cognition · Quantitative Biology 2012-01-16 Ueli Rutishauser , Rodney J. Douglas

The mammalian brain could contain dense and sparse network connectivity structures, including both excitatory and inhibitory neurons, but is without any clearly defined output layer. The neurons have time constants, which mean that the…

Neurons and Cognition · Quantitative Biology 2021-06-04 Udaya B. Rongala , Henrik Jörntell

An ongoing challenge in neural information processing is: how do neurons adjust their connectivity to improve task performance over time (i.e., actualize learning)? It is widely believed that there is a consistent, synaptic-level learning…

Neural and Evolutionary Computing · Computer Science 2021-06-01 Aman Bhargava , Mohammad R. Rezaei , Milad Lankarany