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相关论文: Mixed memories in Hopfield networks

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Dense Associative Memories or Modern Hopfield Networks have many appealing properties of associative memory. They can do pattern completion, store a large number of memories, and can be described using a recurrent neural network with a…

神经与进化计算 · 计算机科学 2021-07-29 Dmitry Krotov

Dense Associative Memories or modern Hopfield networks permit storage and reliable retrieval of an exponentially large (in the dimension of feature space) number of memories. At the same time, their naive implementation is non-biological,…

神经元与认知 · 定量生物学 2021-04-29 Dmitry Krotov , John Hopfield

Dense associative memory, a fundamental instance of modern Hopfield networks, can store a large number of memory patterns as equilibrium states of recurrent networks. While the stationary-state storage capacity has been investigated, its…

无序系统与神经网络 · 物理学 2025-10-29 Kazushi Mimura , Jun'ichi Takeuchi , Yuto Sumikawa , Yoshiyuki Kabashima , Anthony C. C. Coolen

We present a Hopfield-like autoassociative network for memories representing examples of concepts. Each memory is encoded by two activity patterns with complementary properties. The first is dense and correlated across examples within…

神经元与认知 · 定量生物学 2023-08-28 Louis Kang , Taro Toyoizumi

Recent research has established a connection between modern Hopfield networks (HNs) and transformer attention heads, with guarantees of exponential storage capacity. However, these models still face challenges scaling storage efficiently.…

机器学习 · 计算机科学 2025-04-11 Saul Santos , António Farinhas , Daniel C. McNamee , André F. T. Martins

A large number of neural network models of associative memory have been proposed in the literature. These include the classical Hopfield networks (HNs), sparse distributed memories (SDMs), and more recently the modern continuous Hopfield…

神经与进化计算 · 计算机科学 2022-06-20 Beren Millidge , Tommaso Salvatori , Yuhang Song , Thomas Lukasiewicz , Rafal Bogacz

The brain can reproduce memories from partial data; this ability is critical for memory recall. The process of memory recall has been studied using auto-associative networks such as the Hopfield model. This kind of model reliably converges…

神经元与认知 · 定量生物学 2016-05-18 James P. Roach , Leonard M Sander , Michal R. Zochowski

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…

无序系统与神经网络 · 物理学 2022-09-29 Luca Leuzzi , Alberto Patti , Federico Ricci-Tersenghi

It has been shown that a neural network model recently proposed to describe basic memory performance is based on a ternary/binary coding/decoding algorithm which leads to a new neural network assembly memory model (NNAMM) providing…

人工智能 · 计算机科学 2007-05-23 Petro M. Gopych

The Hopfield associative memory model stores random patterns in synaptic couplings according to Hebb's rule and retrieves them through gradient descent on an energy function. This conventional setting, where neurons are assumed to have…

无序系统与神经网络 · 物理学 2026-01-23 Yoshiyuki Kabashima , Kazushi Mimura

Associative memories are structures that store data in such a way that it can later be retrieved given only a part of its content -- a sort-of error/erasure-resilience property. They are used in applications ranging from caches and memory…

信息论 · 计算机科学 2013-04-23 Vincent Gripon , Michael Rabbat

Associative memory, a form of content-addressable memory, facilitates information storage and retrieval in many biological and physical systems. In statistical mechanics models, associative memory at equilibrium is represented through…

无序系统与神经网络 · 物理学 2022-03-08 Agnish Kumar Behera , Madan Rao , Srikanth Sastry , Suriyanarayanan Vaikuntanathan

Associative memory models, such as Hopfield networks and their modern variants, have garnered renewed interest due to advancements in memory capacity and connections with self-attention in transformers. In this work, we introduce a unified…

机器学习 · 计算机科学 2025-10-28 Saul Santos , Vlad Niculae , Daniel McNamee , André F. T. Martins

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

The Hopfield model is a pioneering neural network model with associative memory retrieval. The analytical solution of the model in mean field limit revealed that memories can be retrieved without any error up to a finite storage capacity of…

无序系统与神经网络 · 物理学 2017-10-31 Do-Hyun Kim , Jinha Park , B. Kahng

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

We study the problem of learning associative memory -- a system which is able to retrieve a remembered pattern based on its distorted or incomplete version. Attractor networks provide a sound model of associative memory: patterns are stored…

机器学习 · 统计学 2021-04-21 Sergey Bartunov , Jack W Rae , Simon Osindero , Timothy P Lillicrap

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…

神经元与认知 · 定量生物学 2025-07-02 William F. Podlaski , Christian K. Machens

We present an algorithm to store binary memories in a Hopfield neural network using minimum probability flow, a recent technique to fit parameters in energy-based probabilistic models. In the case of memories without noise, our algorithm…

适应与自组织系统 · 物理学 2015-05-21 Christopher Hillar , Jascha Sohl-Dickstein , Kilian Koepsell

Associative memory architectures are designed for memorization but also offer, through their retrieval method, a form of generalization to unseen inputs: stored memories can be seen as prototypes from this point of view. Focusing on Modern…

机器学习 · 计算机科学 2023-11-14 Matan Abudy , Nur Lan , Emmanuel Chemla , Roni Katzir
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