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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…

神经与进化计算 · 计算机科学 2023-05-10 Thomas F Burns , Tomoki Fukai

This article delves into the Hopfield neural network model, drawing inspiration from biological neural systems. The exploration begins with an overview of the model's foundations, incorporating insights from mechanical statistics to deepen…

无序系统与神经网络 · 物理学 2024-10-29 Matteo Silvestri

In the present paper, an effort has been made for storing and recalling images with Hopfield Neural Network Model of auto-associative memory. Images are stored by calculating a corresponding weight matrix. Thereafter, starting from an…

神经与进化计算 · 计算机科学 2011-05-03 C. Ramya , G. Kavitha , Dr. K. S. Shreedhara

In Hopfield neural networks with up to 10^8 nodes we store two patterns through Hebb couplings. Then we start with a third random pattern which is supposed to evolve into one of the two stored patterns, simulating the cognitive process of…

物理与社会 · 物理学 2008-03-17 Dietrich Stauffer , Przemyslaw A. Grabowicz , Janusz A. Holyst

Hopfield models, originally developed to study memory retrieval in neural networks, have become versatile tools for modeling diverse biological systems in which function emerges from collective dynamics. In this review, we provide a…

生物物理 · 物理学 2025-06-17 Maria Yampolskaya , Pankaj Mehta

While Hopfield networks are known as paradigmatic models for memory storage and retrieval, modern artificial intelligence systems mainly stand on the machine learning paradigm. We show that it is possible to formulate a teacher-student…

无序系统与神经网络 · 物理学 2024-01-02 Francesco Alemanno , Luca Camanzi , Gianluca Manzan , Daniele Tantari

The Hopfield model describes a neural network that stores memories using all-to-all-coupled spins. Memory patterns are recalled under equilibrium dynamics. Storing too many patterns breaks the associative recall process because frustration…

The Hopfield recurrent neural network is a classical auto-associative model of memory, in which collections of symmetrically-coupled McCulloch-Pitts neurons interact to perform emergent computation. Although previous researchers have…

适应与自组织系统 · 物理学 2015-06-09 Christopher Hillar , Ngoc M. Tran

Sequence memory is an essential attribute of natural and artificial intelligence that enables agents to encode, store, and retrieve complex sequences of stimuli and actions. Computational models of sequence memory have been proposed where…

神经与进化计算 · 计算机科学 2023-11-06 Hamza Tahir Chaudhry , Jacob A. Zavatone-Veth , Dmitry Krotov , Cengiz Pehlevan

Understanding the memory capacity of neural networks remains a challenging problem in implementing artificial intelligence systems. In this paper, we address the notion of capacity with respect to Hopfield networks and propose a dynamic…

神经与进化计算 · 计算机科学 2017-09-19 Saarthak Sarup , Mingoo Seok

A recurrent artificial neural network known as Hopfield network is used for pattern storage. Here we have applied this associative memory type network for pattern recognition for predictive controls and diagnostics in accelerator based…

加速器物理 · 物理学 2018-08-07 N. Joshi , O. Meusel , H. Podlech

The Hopfield model is a paradigmatic model of neural networks that has been analyzed for many decades in the statistical physics, neuroscience, and machine learning communities. Inspired by the manifold hypothesis in machine learning, we…

无序系统与神经网络 · 物理学 2023-05-01 Matteo Negri , Clarissa Lauditi , Gabriele Perugini , Carlo Lucibello , Enrico Malatesta

The brain is targeted for processing temporal sequence information. It remains largely unclear how the brain learns to store and retrieve sequence memories. Here, we study how recurrent networks of binary neurons learn sequence attractors…

神经与进化计算 · 计算机科学 2024-04-04 Yao Lu , Si Wu

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…

无序系统与神经网络 · 物理学 2009-11-10 Patrick N. Mcgraw , Michael Menzinger

Natural languages are complexly structured entities. They exhibit characterising regularities that can be exploited to link them one another. In this work, I compare two morphological aspects of languages: Written Patterns and Sentence…

计算与语言 · 计算机科学 2019-07-09 Alberto Calderone

The Little-Hopfield network is an auto-associative computational model of neural memory storage and retrieval. This model is known to robustly store collections of randomly generated binary patterns as stable-states of the network dynamics.…

神经元与认知 · 定量生物学 2015-04-30 Christopher Hillar , Ngoc Tran , Kilian Koepsell

Human eye movement mechanisms (saccades) are very useful for scene analysis, including object representation and pattern recognition. In this letter, a Hopfield neural network to emulate saccades is proposed. The network uses an energy…

计算机视觉与模式识别 · 计算机科学 2013-01-14 Teruyoshi Washizawa

The gap between the huge volumes of data needed to train artificial neural networks and the relatively small amount of data needed by their biological counterparts is a central puzzle in machine learning. Here, inspired by biological…

无序系统与神经网络 · 物理学 2022-04-19 Miriam Aquaro , Francesco Alemanno , Ido Kanter , Fabrizio Durante , Elena Agliari , Adriano Barra

Learning or memory formation are associated with the strengthening of the synaptic connections between neurons according to a pattern reflected by the input. According to this theory a retained memory sequence is associated to a dynamic…

动力系统 · 数学 2016-03-23 Pascal Chossat , Martin Krupa

Recent artificial neural networks that process natural language achieve unprecedented performance in tasks requiring sentence-level understanding. As such, they could be interesting models of the integration of linguistic information in the…

计算与语言 · 计算机科学 2023-02-17 Sophie Arana , Jacques Pesnot Lerousseau , Peter Hagoort
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