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Feedback-rich neural architectures can regenerate earlier representations and inject temporal context, making them a natural setting for strictly local synaptic plasticity. Existing literature raises doubt about whether a minimal,…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Josh Li , Fow-sen Choa

The cortex learns to make associations between stimuli and spiking activity which supports behaviour. It does this by adjusting synaptic weights. The complexity of these transformations implies that synapses have to change without access to…

Neurons and Cognition · Quantitative Biology 2019-11-04 Johnatan Aljadeff , James D'amour , Rachel E. Field , Robert C. Froemke , Claudia Clopath

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

Attractor neural networks (ANNs) are one of the leading theoretical frameworks for the formation and retrieval of memories in networks of biological neurons. In this framework, a pattern imposed by external inputs to the network is said to…

Biological Physics · Physics 2022-05-25 Yu Feng , Nicolas Brunel

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,…

Neurons and Cognition · Quantitative Biology 2021-04-29 Dmitry Krotov , John Hopfield

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…

Disordered Systems and Neural Networks · Physics 2022-03-08 Agnish Kumar Behera , Madan Rao , Srikanth Sastry , Suriyanarayanan Vaikuntanathan

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

Associative memory or content addressable memory is an important component function in computer science and information processing and is a key concept in cognitive and computational brain science. Many different neural network…

Neural and Evolutionary Computing · Computer Science 2025-02-19 Anders Lansner , Naresh B Ravichandran , Pawel Herman

One of the most well established brain principles, hebbian learning, has led to the theoretical concept of neural assemblies. Based on it, many interesting brain theories have spawned. Palm's work implements this concept through binary…

Neurons and Cognition · Quantitative Biology 2023-01-06 Luis Sacouto , Andreas Wichert

Over the last few years, large neural generative models, capable of synthesizing semantically rich passages of text or producing complex images, have recently emerged as a popular representation of what has come to be known as ``generative…

Neurons and Cognition · Quantitative Biology 2023-11-07 Alexander Ororbia , Mary Alexandria Kelly

This paper presents the design of an associative memory with feedback that is capable of on-line temporal sequence learning. A framework for on-line sequence learning has been proposed, and different sequence learning models have been…

Neural and Evolutionary Computing · Computer Science 2007-05-23 J. Bose , S. B. Furber , J. L. Shapiro

We investigate the impact of Hebbian learning on the contact process, a paradigmatic model for infection spreading, which has been also proposed as a simple model to capture the dynamics of inter-regional brain activity propagation as well…

Statistical Mechanics · Physics 2025-09-22 Will T. Engedal , Róbert Juhász , István A. Kovács

We study properties of the additive binary Markov chain with short and long-range correlations. A new approach is suggested that allows one to express global statistical properties of a binary chain in terms of the so-called memory…

Statistical Mechanics · Physics 2009-11-11 F. M. Izrailev , A. A. Krokhin , N. M. Makarov , S. S. Melnyk , O. V. Usatenko , V. A. Yampol'skii

Memory is a key component of biological neural systems that enables the retention of information over a huge range of temporal scales, ranging from hundreds of milliseconds up to years. While Hebbian plasticity is believed to play a pivotal…

Neural and Evolutionary Computing · Computer Science 2022-05-24 Thomas Limbacher , Ozan Özdenizci , Robert Legenstein

The aim of the present paper is to study the effects of Hebbian learning in random recurrent neural networks with biological connectivity, i.e. sparse connections and separate populations of excitatory and inhibitory neurons. We furthermore…

Neurons and Cognition · Quantitative Biology 2007-06-19 Benoit Siri , Mathias Quoy , Bruno Delord , Bruno Cessac , Hugues Berry

Hebbian learning theory is rooted in Pavlov's Classical Conditioning. While mathematical models of the former have been proposed and studied in the past decades, especially in spin glass theory, only recently it has been numerically shown…

Disordered Systems and Neural Networks · Physics 2024-10-11 Daniele Lotito , Miriam Aquaro , Chiara Marullo

A theory of additive Markov chains with long-range memory, proposed earlier in Phys. Rev. E 68, 06117 (2003), is developed and used to describe statistical properties of long-range correlated systems. The convenient characteristics of such…

Data Analysis, Statistics and Probability · Physics 2009-11-11 S. S. Melnyk , O. V. Usatenko , V. A. Yampol'skii , S. S. Apostolov , Z. A. Mayzelis

The ability to quickly learn new knowledge (e.g. new classes or data distributions) is a big step towards human-level intelligence. In this paper, we consider scenarios that require learning new classes or data distributions quickly and…

Machine Learning · Computer Science 2021-09-13 Fei Mi , Tao Lin , Boi Faltings

An associative memory is a framework of content-addressable memory that stores a collection of message vectors (or a dataset) over a neural network while enabling a neurally feasible mechanism to recover any message in the dataset from its…

Machine Learning · Statistics 2016-11-30 Arya Mazumdar , Ankit Singh Rawat

Associative networks theory is increasingly providing tools to interpret update rules of artificial neural networks. At the same time, deriving neural learning rules from a solid theory remains a fundamental challenge. We make some steps in…

Neurons and Cognition · Quantitative Biology 2025-03-27 Daniele Lotito