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We study a class of Hopfield models where the memories are represented by a mixture of Gaussian and binary variables and the neurons are Ising spins. We study the properties of this family of models as the relative weight of the two kinds…

Disordered Systems and Neural Networks · Physics 2022-09-29 Luca Leuzzi , Alberto Patti , Federico Ricci-Tersenghi

To explore the relation between network structure and function, we studied the computational performance of Hopfield-type attractor neural nets with regular lattice, random, small-world and scale-free topologies. The random net is the most…

Disordered Systems and Neural Networks · Physics 2009-11-10 Patrick N. Mcgraw , Michael Menzinger

Associative memory architectures such as the Hopfield network have long been important conceptual and theoretical models for neuroscience and artificial intelligence. However, translating these abstract models into spiking neural networks…

Neurons and Cognition · Quantitative Biology 2025-07-02 William F. Podlaski , Christian K. Machens

The field of artificial intelligence faces significant challenges in achieving both biological plausibility and computational efficiency, particularly in visual learning tasks. Current artificial neural networks, such as convolutional…

Machine Learning · Computer Science 2024-09-27 Jacobo Ruiz , Manas Gupta

Statistical mechanics has made significant contributions to the study of biological neural systems by modeling them as recurrent networks of interconnected units with adjustable interactions. Several algorithms have been proposed to…

Disordered Systems and Neural Networks · Physics 2024-03-06 Enrico Ventura

Verbatim memorization in Large Language Models (LLMs) is a multifaceted phenomenon involving distinct underlying mechanisms. We introduce a novel method to analyze the different forms of memorization described by the existing taxonomy.…

Computation and Language · Computer Science 2025-11-14 Jérémie Dentan , Davide Buscaldi , Sonia Vanier

Large pretrained self-attention neural networks, or transformers, have been very successful in various tasks recently. The performance of a model on a given task depends on its ability to memorize and generalize the training data. Large…

Machine Learning · Computer Science 2024-08-01 Aki Härmä , Marcin Pietrasik , Anna Wilbik

New findings in natural language processing (NLP) demonstrate that the strong memorization capability contributes a lot to the success of Large Language Models (LLM). This inspires us to explicitly bring an independent memory mechanism into…

Information Retrieval · Computer Science 2023-09-06 Pengtao Zhang , Junlin Zhang

Long Short-Term Memory (LSTM) is a recurrent neural network (RNN) architecture that has been designed to address the vanishing and exploding gradient problems of conventional RNNs. Unlike feedforward neural networks, RNNs have cyclic…

Neural and Evolutionary Computing · Computer Science 2014-02-06 Haşim Sak , Andrew Senior , Françoise Beaufays

In this paper, we present a neural network system related to about memory and recall that consists of one neuron group (the "cue ball") and a one-layer neural net (the "recall net"). This system realizes the bidirectional memorization…

Neural and Evolutionary Computing · Computer Science 2022-10-11 Hiroshi Inazawa

We study a model of spiking neurons, with recurrent connections that result from learning a set of spatio-temporal patterns with a spike-timing dependent plasticity rule and a global inhibition. We investigate the ability of the network to…

Neurons and Cognition · Quantitative Biology 2020-04-22 S. Scarpetta , A. de Candia

A model of associative memory is studied, which stores and reliably retrieves many more patterns than the number of neurons in the network. We propose a simple duality between this dense associative memory and neural networks commonly used…

Neural and Evolutionary Computing · Computer Science 2017-03-28 Dmitry Krotov , John J Hopfield

Neurons with internal memory have been proposed for biological and bio-inspired neural networks, adding interesting functionality. We propose and model a nanoscale optoelectronic neural node with charge-based time-limited memory and signal…

Applied Physics · Physics 2023-09-22 David Winge , Magnus Borgström , Erik Lind , Anders Mikkelsen

Inspired by the adaptation phenomenon of neuronal firing, we propose the regularity normalization (RN) as an unsupervised attention mechanism (UAM) which computes the statistical regularity in the implicit space of neural networks under the…

Machine Learning · Computer Science 2021-12-30 Baihan Lin

Large language models demonstrate remarkable ability in factual recall, yet the fundamental limits of storing and retrieving input--output associations with neural networks remain unclear. We study these limits in a minimal setting: a…

Machine Learning · Statistics 2026-05-12 Alessio Giorlandino , Sebastian Goldt , Antoine Maillard

In this work we approach attractor neural networks from a machine learning perspective: we look for optimal network parameters by applying a gradient descent over a regularized loss function. Within this framework, the optimal…

Machine Learning · Computer Science 2024-02-21 Elena Agliari , Francesco Alemanno , Miriam Aquaro , Alberto Fachechi

We show that macro-molecular self-assembly can recognize and classify high-dimensional patterns in the concentrations of $N$ distinct molecular species. Similar to associative neural networks, the recognition here leverages dynamical…

Disordered Systems and Neural Networks · Physics 2017-04-26 Weishun Zhong , David J. Schwab , Arvind Murugan

Unsupervised anomaly detection aims to build models to effectively detect unseen anomalies by only training on the normal data. Although previous reconstruction-based methods have made fruitful progress, their generalization ability is…

Machine Learning · Computer Science 2022-01-04 Yuxin Zhang , Jindong Wang , Yiqiang Chen , Han Yu , Tao Qin

In this paper, we present a new neural network model based on attribute-specific representations (e.g., color, shape, size), a classic example of associative memory. The proposed model is based on a previous study on memory and recall of…

Neural and Evolutionary Computing · Computer Science 2025-12-08 Hiroshi Inazawa

Neural associative memories are single layer perceptrons with fast synaptic learning typically storing discrete associations between pairs of neural activity patterns. Previous works have analyzed the optimal networks under naive Bayes…

Neural and Evolutionary Computing · Computer Science 2024-12-25 Andreas Knoblauch