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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

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

Recently, the use of bio-inspired learning techniques such as Hebbian learning and its closely-related Spike-Timing-Dependent Plasticity (STDP) variant have drawn significant attention for the design of compute-efficient AI systems that can…

Neural and Evolutionary Computing · Computer Science 2024-11-19 Ali Safa

We investigate dynamical systems characterized by a time series of distinct semi-stable activity patterns, as they are observed in cortical neural activity patterns. We propose and discuss a general mechanism allowing for an adiabatic…

Disordered Systems and Neural Networks · Physics 2010-02-11 Claudius Gros

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

Synaptic connections between neurons in the brain are dynamic because of continuously ongoing spine dynamics, axonal sprouting, and other processes. In fact, it was recently shown that the spontaneous synapse-autonomous component of spine…

Neurons and Cognition · Quantitative Biology 2018-01-08 David Kappel , Robert Legenstein , Stefan Habenschuss , Michael Hsieh , Wolfgang Maass

Attractor neural network is an important theoretical scenario for modeling memory function in the hippocampus and in the cortex. In these models, memories are stored in the plastic recurrent connections of neural populations in the form of…

Neurons and Cognition · Quantitative Biology 2016-01-12 Alireza Alemi

Throughout the literature on Neural Cellular Automata (NCAs), it is often taken for granted that the systems learn attractors. This is shown through evolving the system for many timesteps and noting visual similarity to the goal state.…

Neural and Evolutionary Computing · Computer Science 2026-04-15 Mia-Katrin Kvalsund , James Stovold

Numerous models for supervised and reinforcement learning benefit from combinations of discrete and continuous model components. End-to-end learnable discrete-continuous models are compositional, tend to generalize better, and are more…

Machine Learning · Computer Science 2023-07-27 David Friede , Mathias Niepert

Neuronal circuits can learn and replay firing patterns evoked by sequences of sensory stimuli. After training, a brief cue can trigger a spatiotemporal pattern of neural activity similar to that evoked by a learned stimulus sequence.…

Neurons and Cognition · Quantitative Biology 2015-07-03 Alan Veliz-Cuba , Harel Shouval , Kresimir Josic , Zachary P. Kilpatrick

Continuous attractor networks (CANs) are a well-established class of models for representing low-dimensional continuous variables such as head direction, spatial position, and phase. In canonical spatial domains, transitions along the…

Neurons and Cognition · Quantitative Biology 2026-01-23 Daniel Brownell

Neural networks storing multiple discrete attractors are canonical models of biological memory. Previously, the dynamical stability of such networks could only be guaranteed under highly restrictive conditions. Here, we derive a theory of…

Disordered Systems and Neural Networks · Physics 2026-01-23 Uri Cohen , Máté Lengyel

Regardless of the marked differences between biological and artificial neural systems, one fundamental similarity is that they are essentially dynamical systems that can learn to imitate other dynamical systems, without knowing their…

Neurons and Cognition · Quantitative Biology 2019-11-06 Zhixin Lu , Danielle S. Bassett

We present a theoretical study aiming at model fitting for sensory neurons. Conventional neural network training approaches are not applicable to this problem due to lack of continuous data. Although the stimulus can be considered as a…

Neurons and Cognition · Quantitative Biology 2017-09-28 R. Ozgur Doruk , Kechen Zhang

Neural systems are well known for their ability to learn and store information as memories. Even more impressive is their ability to abstract these memories to create complex internal representations, enabling advanced functions such as the…

Neural and Evolutionary Computing · Computer Science 2024-09-20 Lindsay M. Smith , Jason Z. Kim , Zhixin Lu , Dani S. Bassett

We model spontaneous cortical activity with a network of coupled spiking units, in which multiple spatio-temporal patterns are stored as dynamical attractors. We introduce an order parameter, which measures the overlap (similarity) between…

Neurons and Cognition · Quantitative Biology 2015-06-17 Silvia Scarpetta , Antonio de Candia

The human brain is autonomously active, being characterized by a self-sustained neural activity which would be present even in the absence of external sensory stimuli. Here we study the interrelation between the self-sustained activity in…

Neurons and Cognition · Quantitative Biology 2017-11-27 C. Gros , G. Kaczor

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

How neuronal circuits achieve credit assignment remains a central unsolved question in systems neuroscience. Various studies have suggested plausible solutions for back-propagating error signals through multi-layer networks. These purely…

Neurons and Cognition · Quantitative Biology 2023-12-12 Julian Rossbroich , Friedemann Zenke

Brain-inspired machine intelligence research seeks to develop computational models that emulate the information processing and adaptability that distinguishes biological systems of neurons. This has led to the development of spiking neural…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Alexander Ororbia