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Keeping a memory of evolving stimuli is ubiquitous in biology, an example of which is immune memory for evolving pathogens. However, learning and memory storage for dynamic patterns still pose challenges in machine learning. Here, we…

Biological Physics · Physics 2021-10-29 Oskar H Schnaack , Luca Peliti , Armita Nourmohammad

Many industrial machine learning (ML) systems require frequent retraining to keep up-to-date with constantly changing data. This retraining exacerbates a large challenge facing ML systems today: model training is unstable, i.e., small…

Computation and Language · Computer Science 2020-03-12 Megan Leszczynski , Avner May , Jian Zhang , Sen Wu , Christopher R. Aberger , Christopher Ré

A set of fixed points of the Hopfield type neural network is under investigation. Its connection matrix is constructed with regard to the Hebb rule from a highly symmetric set of the memorized patterns. Depending on the external parameter…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leonid B. Litinsky

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…

Adaptation and Self-Organizing Systems · Physics 2015-05-21 Christopher Hillar , Jascha Sohl-Dickstein , Kilian Koepsell

It has been recently shown that a learning transition happens when a Hopfield Network stores examples generated as superpositions of random features, where new attractors corresponding to such features appear in the model. In this work we…

Disordered Systems and Neural Networks · Physics 2024-07-09 Silvio Kalaj , Clarissa Lauditi , Gabriele Perugini , Carlo Lucibello , Enrico M. Malatesta , Matteo Negri

A model of the columnar functional organization of neocortical association areas is studied. The neuronal network is composed of many Hebbian autoassociators, or modules, each of which interacts with a relatively small number of the others.…

Disordered Systems and Neural Networks · Physics 2020-05-14 Carlo Fulvi Mari

Matching animal-like flexibility in recognition and the ability to quickly incorporate new information remains difficult. Limits are yet to be adequately addressed in neural models and recognition algorithms. This work proposes a…

Computer Vision and Pattern Recognition · Computer Science 2012-06-26 Tsvi Achler

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

Predictive geometric models deliver excellent results for many Machine Learning use cases. Despite their undoubted performance, neural predictive algorithms can show unexpected degrees of instability and variance, particularly when applied…

Machine Learning · Computer Science 2018-07-20 Michaela Regneri , Malte Hoffmann , Jurij Kost , Niklas Pietsch , Timo Schulz , Sabine Stamm

We show that a protein can be trained to recognise multiple conformations, analogous to an associative memory, and provide capacity calculations based on energy fluctuations and information theory. Unlike the linear capacity of a Hopfield…

Soft Condensed Matter · Physics 2007-05-23 Thomas M A Fink , Robin C Ball

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

The set of the fixed points of the Hopfield type network is under investigation. The connection matrix of the network is constructed according the Hebb rule from the set of memorized patterns which are treated as distorted copies of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leonid B. Litinskii

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

This paper studies a dynamical system that models the free recall dynamics of working memory. This model is a modular neural network with n modules, named hypercolumns, and each module consists of m minicolumns. Under mild conditions on the…

Systems and Control · Electrical Eng. & Systems 2022-09-23 Tianhao Li , Zhixin Liu , Lizheng Liu , Xiaoming Hu

Based on recent work by Gripon and Berrou, we introduce a new model of an associative memory. We show that this model has an efficiency bounded away from 0 and is therefore significantly more effective than the well known Hopfield model. We…

Probability · Mathematics 2014-11-06 Judith Heusel , Matthias Löwe , Franck Vermet

Priming is the ability of the brain to more quickly activate a target concept in response to a related stimulus (prime). Experiments point to the existence of an overlap between the populations of the neurons coding for different stimuli.…

Adaptation and Self-Organizing Systems · Physics 2016-11-15 Pascal Chossat , Martin Krupa , Frédéric Lavigne

We present results for two different kinds of high order connections between neurons acting as corrections to the Hopfield model. Equilibrium properties are analyzed using the replica mean-field theory and compared with numerical…

Condensed Matter · Physics 2009-10-22 J. J. Arenzon , R. M. C. de Almeida

Using an asymmetric associative network with synchronous updating, it is possible to recall a sequence of patterns. To obtain a stable sequence generation with a large storage capacity, we introduce a threshold that eliminates the…

comp-gas · Physics 2008-02-03 F. Zertuche , R. López-Peña , H. Waelbroeck

In neuroscience, classical Hopfield networks are the standard biologically plausible model of long-term memory, relying on Hebbian plasticity for storage and attractor dynamics for recall. In contrast, memory-augmented neural networks in…

Neurons and Cognition · Quantitative Biology 2021-10-28 Danil Tyulmankov , Ching Fang , Annapurna Vadaparty , Guangyu Robert Yang

The retrieval capabilities of associative neural networks can be impaired by different kinds of noise: the fast noise (which makes neurons more prone to failure), the slow noise (stemming from interference among stored memories), and…

Disordered Systems and Neural Networks · Physics 2020-12-10 Elena Agliari , Giordano De Marzo
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