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In this work we introduce a multi-species generalization of the Hopfield model for associative memory, where neurons are divided into groups and both inter-groups and intra-groups pair-wise interactions are considered, with different…

Disordered Systems and Neural Networks · Physics 2018-07-11 Elena Agliari , Danila Migliozzi , Daniele Tantari

Artificial neural networks face the stability-plasticity dilemma in continual learning, while the brain can maintain memories and remain adaptable. However, the biological strategies for continual learning and their potential to inspire…

Machine Learning · Computer Science 2025-02-04 Heming Zou , Yunliang Zang , Xiangyang Ji

The olfactory system is constantly solving pattern-recognition problems by the creation of a large space to codify odour representations and optimizing their distribution within it. A model of the Olfactory Bulb was developed by Z. Li and…

Adaptation and Self-Organizing Systems · Physics 2019-05-16 Alexandra Pinto

Identifying computational mechanisms for memorization and retrieval of data is a long-standing problem at the intersection of machine learning and neuroscience. Our main finding is that standard overparameterized deep neural networks…

Machine Learning · Computer Science 2022-05-25 Adityanarayanan Radhakrishnan , Mikhail Belkin , Caroline Uhler

We study how the interplay between the memory immune response and pathogen mutation affects epidemic dynamics in two related models. The first explicitly models pathogen mutation and individual memory immune responses, with contacted…

Chaotic Dynamics · Physics 2009-11-07 Michelle Girvan , Duncan S. Callaway , M. E. J. Newman , Steven H. Strogatz

An adaptive agent predicting the future state of an environment must weigh trust in new observations against prior experiences. In this light, we propose a view of the adaptive immune system as a dynamic Bayesian machinery that updates its…

Populations and Evolution · Quantitative Biology 2019-05-14 Andreas Mayer , Vijay Balasubramanian , Aleksandra M. Walczak , Thierry Mora

Olfactory receptor usage is highly heterogeneous, with some receptor types being orders of magnitude more abundant than others. We propose an explanation for this striking fact: the receptor distribution is tuned to maximally represent…

Neurons and Cognition · Quantitative Biology 2019-01-23 Tiberiu Tesileanu , Simona Cocco , Remi Monasson , Vijay Balasubramanian

The majority of mammalian genomic transcripts do not directly code for proteins and it is currently believed that most of these are not under evolutionary constraint. However given the abundance non-coding RNA (ncRNA) and its strong…

Molecular Networks · Quantitative Biology 2016-08-22 J. M. Deutsch

The paper examines the problem of accessing a vector memory from a single neuron in a Hebbian neural network. It begins with the review of the author's earlier method, which is different from the Hopfield model in that it recruits…

Neural and Evolutionary Computing · Computer Science 2009-05-26 Subhash Kak

Among the performance-enhancing procedures for Hopfield-type networks that implement associative memory, Hebbian Unlearning (or dreaming) strikes for its simplicity and its clear biological interpretation. Yet, it does not easily lend…

Disordered Systems and Neural Networks · Physics 2023-08-28 Marco Benedetti , Louis Carillo , Enzo Marinari , Marc Mèzard

We discuss how inference can be performed when data are sampled from the non-ergodic phase of systems with multiple attractors. We take as model system the finite connectivity Hopfield model in the memory phase and suggest a cavity method…

Disordered Systems and Neural Networks · Physics 2013-09-03 A. Braunstein , A. Ramezanpour , R. Zecchina , P. Zhang

The exponential rise in data generation has led to vast, heterogeneous datasets crucial for predictive analytics and decision-making. Ensuring data quality and semantic integrity remains a challenge. This paper presents a brain-inspired…

Machine Learning · Computer Science 2025-03-06 Ashwin Viswanathan Kannan , Johnson P Thomas , Abhimanyu Mukerji

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

A ternary/binary data coding algorithm and conditions under which Hopfield networks implement optimal convolutional or Hamming decoding algorithms has been described. Using the coding/decoding approach (an optimal Binary Signal Detection…

Artificial Intelligence · Computer Science 2007-05-23 Petro M. Gopych

We generalize the standard Hopfield model to the case when a weight is assigned to each input pattern. The weight can be interpreted as the frequency of the pattern occurrence at the input of the network. In the framework of the statistical…

Disordered Systems and Neural Networks · Physics 2012-05-07 Iakov Karandashev , Boris Kryzhanovsky , Leonid Litinskii

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

We consider the problem of olfactory searches in a turbulent environment. We focus on agents that respond solely to odor stimuli, with no access to spatial perception nor prior information about the odor. We ask whether navigation to a…

Biological Physics · Physics 2025-01-29 Marco Rando , Martin James , Alessandro Verri , Lorenzo Rosasco , Agnese Seminara

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

Many living and artificial systems improve their fitness or performance by adapting to changing environments or diverse training data. However, it remains unclear how such environmental variation influences adaptation, what is learned in…

Computational Physics · Physics 2026-04-09 Mengjie Zu , Carl P. Goodrich

Networks in machine learning offer examples of complex high-dimensional dynamical systems reminiscent of biological systems. Here, we study the learning dynamics of Generalized Hopfield networks, which permit a visualization of internal…

Disordered Systems and Neural Networks · Physics 2023-12-07 Nacer Eddine Boukacem , Allen Leary , Robin Thériault , Felix Gottlieb , Madhav Mani , Paul François
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