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The Hebbian unlearning algorithm, i.e. an unsupervised local procedure used to improve the retrieval properties in Hopfield-like neural networks, is numerically compared to a supervised algorithm to train a linear symmetric perceptron. We…

Disordered Systems and Neural Networks · Physics 2022-03-15 Marco Benedetti , Enrico Ventura , Enzo Marinari , Giancarlo Ruocco , Francesco Zamponi

Attractor dynamics are a fundamental computational motif in neural circuits, supporting diverse cognitive functions through stable, self-sustaining patterns of neural activity. In these lecture notes, we review four key examples that…

Neurons and Cognition · Quantitative Biology 2026-01-30 Tala Fakhoury , Elia Turner , Sushrut Thorat , Athena Akrami

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

To make sense of the world our brains must analyze high-dimensional datasets streamed by our sensory organs. Because such analysis begins with dimensionality reduction, modelling early sensory processing requires biologically plausible…

Neurons and Cognition · Quantitative Biology 2016-01-27 Cengiz Pehlevan , Dmitri B. Chklovskii

In this lecture I will present some models of neural networks that have been developed in the recent years. The aim is to construct neural networks which work as associative memories. Different attractors of the network will be identified…

Condensed Matter · Physics 2008-02-03 Giorgio Parisi

Attractor networks are an influential theory for memory storage in brain systems. This theory has recently been challenged by the observation of strong temporal variability in neuronal recordings during memory tasks. In this work, we study…

Neurons and Cognition · Quantitative Biology 2021-12-02 Ulises Pereira-Obilinovic , Johnatan Aljadeff , Nicolas Brunel

In this paper we study, via equilibrium statistical mechanics, the properties of the internal energy of an Hopfield neural network whose patterns are stored continuously (Gaussian distributed). The model is shown to be equivalent to a…

Disordered Systems and Neural Networks · Physics 2009-11-17 Adriano Barra , Francesco Guerra

Typical methods for supervised sequence modeling are built upon the recurrent neural networks to capture temporal dependencies. One potential limitation of these methods is that they only model explicitly information interactions between…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Canmiao Fu , Wenjie Pei , Qiong Cao , Chaopeng Zhang , Yong Zhao , Xiaoyong Shen , Yu-Wing Tai

Associative memory using fast weights is a short-term memory mechanism that substantially improves the memory capacity and time scale of recurrent neural networks (RNNs). As recent studies introduced fast weights only to regular RNNs, it is…

Neural and Evolutionary Computing · Computer Science 2018-04-19 T. Anderson Keller , Sharath Nittur Sridhar , Xin Wang

High-level visual brain regions contain subareas in which neurons appear to respond more strongly to examples of a particular semantic category, like faces or bodies, rather than objects. However, recent work has shown that while this…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Alexander Lappe , Anna Bognár , Ghazaleh Ghamkhari Nejad , Albert Mukovskiy , Lucas Martini , Martin A. Giese , Rufin Vogels

In this paper, we present a neural network system related to about memory and recall that consists of one neuron group (the "cue ball") and a one-layer neural net (the "recall net"). This system realizes the bidirectional memorization…

Neural and Evolutionary Computing · Computer Science 2022-10-11 Hiroshi Inazawa

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

Machine Learning · Computer Science 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

Dense associative memories (DAMs) store and retrieve patterns via energy-function based fixed points, but existing models are limited to vector representations. We extend DAMs to Gaussian densities equipped with the 2-Wasserstein distance.…

Machine Learning · Computer Science 2026-02-03 Chandan Tankala , Krishnakumar Balasubramanian

In Hopfield-type associative memory models, memories are stored in the connectivity matrix and can be retrieved subsequently thanks to the collective dynamics of the network. In these models, the retrieval of a particular memory can be…

Neurons and Cognition · Quantitative Biology 2025-10-21 Marco Benedetti , Nicolas Brunel , Enzo Marinari , Ulises Pereira Obilinovic

Associative memory or content-addressable memory is an important component function in computer science and information processing, and at the same time a key concept in cognitive and computational brain science. Many different neural…

Neural and Evolutionary Computing · Computer Science 2026-05-05 Anders Lansner , Andreas Knoblauch , Naresh B Ravichandran , Pawel Herman

Binary vector embeddings enable fast nearest neighbor retrieval in large databases of high-dimensional objects, and play an important role in many practical applications, such as image and video retrieval. We study the problem of learning…

Computer Vision and Pattern Recognition · Computer Science 2018-06-26 Fatih Cakir , Kun He , Sarah Adel Bargal , Stan Sclaroff

Most deep learning models are limited to specific datasets or tasks because of network structures using fixed layers. In this paper, we discuss the differences between existing neural networks and real human neurons, propose association…

Artificial Intelligence · Computer Science 2023-01-31 Seokjun Kim , Jaeeun Jang , Hyeoncheol Kim

The human brain contains approximately $10^9$ neurons, each with approximately $10^3$ connections, synapses, with other neurons. Most sensory, cognitive and motor functions of our brains depend on the interaction of a large population of…

Neurons and Cognition · Quantitative Biology 2021-08-30 Bülent Karasözen

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…

Machine Learning · Computer Science 2023-11-14 Matan Abudy , Nur Lan , Emmanuel Chemla , Roni Katzir

Children's tendency to associate novel words with novel referents has been taken to reflect a bias toward mutual exclusivity. This tendency may be advantageous both as (1) an ad-hoc referent selection heuristic to single out referents…

Computation and Language · Computer Science 2021-04-02 Kristina Gulordava , Thomas Brochhagen , Gemma Boleda