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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

Sequences of neural activity arise in many brain areas, including cortex, hippocampus, and central pattern generator circuits that underlie rhythmic behaviors like locomotion. While network architectures supporting sequence generation vary…

Neurons and Cognition · Quantitative Biology 2022-08-16 Caitlyn Parmelee , Juliana Londono Alvarez , Carina Curto , Katherine Morrison

Continuous attractor neural networks generate a set of smoothly connected attractor states. In memory systems of the brain, these attractor states may represent continuous pieces of information such as spatial locations and head directions…

Disordered Systems and Neural Networks · Physics 2019-01-16 Chi Chung Alan Fung , Tomoki Fukai

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

In this review, we describe the singular success of attractor neural network models in describing how the brain maintains persistent activity states for working memory, error-corrects, and integrates noisy cues. We consider the mechanisms…

Neurons and Cognition · Quantitative Biology 2022-03-03 Mikail Khona , Ila R. Fiete

Well characterized sequences of dynamical states play an important role for motor control and associative neural computation in the brain. Autonomous dynamics involving sequences of transiently stable states have been termed associative…

Adaptation and Self-Organizing Systems · Physics 2013-07-15 Mathias Linkerhand , Claudius Gros

Attractor neural network models of cortical decision-making circuits represent them as dynamical systems in the state space of neural firing rates with the attractors of the network encoding possible decisions. While the attractors of these…

Neurons and Cognition · Quantitative Biology 2025-08-12 Safaan Sadiq

The brain is targeted for processing temporal sequence information. It remains largely unclear how the brain learns to store and retrieve sequence memories. Here, we study how recurrent networks of binary neurons learn sequence attractors…

Neural and Evolutionary Computing · Computer Science 2024-04-04 Yao Lu , Si Wu

Collective rhythmic dynamics from neurons is vital for cognitive functions such as memory formation but how neurons self-organize to produce such activity is not well understood. Attractor-based models have been successfully implemented as…

Neurons and Cognition · Quantitative Biology 2013-03-22 Mark Niedringhaus , Xin Chen , Katherine Conant , Rhonda Dzakpasu

Recordings of increasingly large neural populations have revealed that the firing of individual neurons is highly coordinated. When viewed in the space of all possible patterns, the collective activity forms non-linear structures called…

Neurons and Cognition · Quantitative Biology 2025-11-14 Arianna Di Bernardo , Adrian Valente , Francesca Mastrogiuseppe , Srdjan Ostojic

Associative memory has been a prominent candidate for the computation performed by the massively recurrent neocortical networks. Attractor networks implementing associative memory have offered mechanistic explanation for many cognitive…

Neural and Evolutionary Computing · Computer Science 2022-09-07 Naresh Balaji Ravichandran , Anders Lansner , Pawel Herman

Encoding models are used for predicting brain activity in response to sensory stimuli with the objective of elucidating how sensory information is represented in the brain. Encoding models typically comprise a nonlinear transformation of…

Neurons and Cognition · Quantitative Biology 2017-03-13 Umut Güçlü , Marcel A. J. van Gerven

Learning or memory formation are associated with the strengthening of the synaptic connections between neurons according to a pattern reflected by the input. According to this theory a retained memory sequence is associated to a dynamic…

Dynamical Systems · Mathematics 2016-03-23 Pascal Chossat , Martin Krupa

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

Biological studies reveal that neural circuits located at the spinal cord called central pattern generator (CPG) oscillates and generates rhythmic signals, which are the underlying mechanism responsible for rhythmic locomotion behaviors of…

Robotics · Computer Science 2023-05-15 Chuanyu Yang , Can Pu , Tianqi Wei , Cong Wang , Zhibin Li

We study a simple extended model of oscillator neural networks capable of storing sparsely coded phase patterns, in which information is encoded both in the mean firing rate and in the timing of spikes. Applying the methods of statistical…

Disordered Systems and Neural Networks · Physics 2009-10-31 Masaki Nomura , Toshio Aoyagi

Neural dynamical systems with stable attractor structures, such as point attractors and continuous attractors, are hypothesized to underlie meaningful temporal behavior that requires working memory. However, working memory may not support…

Neurons and Cognition · Quantitative Biology 2023-08-25 Il Memming Park , Ábel Ságodi , Piotr Aleksander Sokół

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

Introduction: Machine learning provides fundamental tools both for scientific research and for the development of technologies with significant impact on society. It provides methods that facilitate the discovery of regularities in data and…

Machine Learning · Computer Science 2019-03-12 Andrea Ceni , Peter Ashwin , Lorenzo Livi

Working memory is a cognitive function involving the storage and manipulation of latent information over brief intervals of time, thus making it crucial for context-dependent computation. Here, we use a top-down modeling approach to examine…

Neurons and Cognition · Quantitative Biology 2021-11-17 Elham Ghazizadeh , ShiNung Ching
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