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Synaptic plasticity allows cortical circuits to learn new tasks and to adapt to changing environments. How do cortical circuits use plasticity to acquire functions such as decision-making or working memory? Neurons are connected in complex…

Neurons and Cognition · Quantitative Biology 2023-03-08 Néstor Parga , Luis Serrano-Fernández , Joan Falcó-Roget

Understanding neurocognitive computations will require not just localizing cognitive information distributed throughout the brain but also determining how that information got there. We review recent advances in linking empirical and…

Neurons and Cognition · Quantitative Biology 2019-10-22 Takuya Ito , Luke Hearne , Ravi Mill , Carrisa Cocuzza , Michael W. Cole

In the past few decades, there have been intense debates whether the brain operates at a critical state. To verify the criticality hypothesis in the neuronal networks is challenging and the accumulating experimental and theoretical results…

Neurons and Cognition · Quantitative Biology 2025-02-26 Chia-Ying Lin , Mei Ian Sam , Yi-Ching Tsai , Hsiu-Hau Lin

The dynamical organization in the presence of noise of a Boolean neural network with random connections is analyzed. For low levels of noise, the system reaches a stationary state in which the majority of its elements acquire the same…

Disordered Systems and Neural Networks · Physics 2007-05-23 Cristian Huepe , Maximino Aldana

We first review traditional approaches to memory storage and formation, drawing on the literature of quantitative neuroscience as well as statistical physics. These have generally focused on the fast dynamics of neurons; however, there is…

Neurons and Cognition · Quantitative Biology 2018-07-24 Anita Mehta

An essential step toward understanding neural circuits is linking their structure and their dynamics. In general, this relationship can be almost arbitrarily complex. Recent theoretical work has, however, begun to identify some broad…

Neurons and Cognition · Quantitative Biology 2017-03-10 Gabriel Koch Ocker , Yu Hu , Michael A. Buice , Brent Doiron , Krešimir Josić , Robert Rosenbaum , Eric Shea-Brown

In this work, we report the preliminary analysis of the electrophysiological behavior of in vitro neuronal networks to identify when the networks are in a critical state based on the size distribution of network-wide avalanches of activity.…

Neurons and Cognition · Quantitative Biology 2019-07-31 Kristine Heiney , Ola Huse Ramstad , Ioanna Sandvig , Axel Sandvig , Stefano Nichele

In artificial neural networks, the activation dynamics of non-trainable variables is strongly coupled to the learning dynamics of trainable variables. During the activation pass, the boundary neurons (e.g., input neurons) are mapped to the…

Machine Learning · Computer Science 2025-03-27 Ekaterina Kukleva , Vitaly Vanchurin

We consider a neural network with adapting synapses whose dynamics can be analitically computed. The model is made of $N$ neurons and each of them is connected to $K$ input neurons chosen at random in the network. The synapses are…

Disordered Systems and Neural Networks · Physics 2009-10-30 G. Lattanzi , G. Nardulli , G. Pasquariello , S. Stramaglia

Living systems operate in a critical dynamical regime -- between order and chaos -- where they are both resilient to perturbation, and flexible enough to evolve. To characterize such critical dynamics, the established 'structural theory' of…

Molecular Networks · Quantitative Biology 2022-01-28 Santosh Manicka , Manuel Marques-Pita , Luis M. Rocha

The rapid advances in artificial intelligence (AI) have largely been driven by scaling deep neural networks (DNNs) - increasing model size, data, and computational resources. Yet performance is ultimately governed by network dynamics. The…

Neurons and Cognition · Quantitative Biology 2026-02-23 Simon Vock , Christian Meisel

Learning and decision making in the brain are key processes critical to survival, and yet are processes implemented by non-ideal biological building blocks which can impose significant error. We explore quantitatively how the brain might…

Neurons and Cognition · Quantitative Biology 2011-04-19 Jake Bouvrie , Jean-Jacques Slotine

The subject of study is a neural network with binary neurons, randomly diluted synapses and variable pattern activity. We look at the system with parallel updating using a probabilistic approach to solve the one step dynamics with one…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Grosskinsky

Functional networks provide a topological description of activity patterns in the brain, as they stem from the propagation of neural activity on the underlying anatomical or structural network of synaptic connections. This latter is well…

Disordered Systems and Neural Networks · Physics 2021-02-11 Ali Safari , Paolo Moretti , Ibai Diez , Jesus M. Cortes , Miguel Ángel Muñoz

The critical brain hypothesis posits that neural circuitry operates near criticality to reap the computational benefits of accessing a wide range of timescales. The theory of critical phenomena generally predicts heavy-tailed (power-law)…

Neurons and Cognition · Quantitative Biology 2025-12-23 Jacob T. Crosser , Braden A. W. Brinkman

Traditional approaches to understanding the brain's resilience to neuropathology have identified neurophysiological variables, often described as brain or cognitive 'reserve,' associated with better outcomes. However, mechanisms of function…

Neurons and Cognition · Quantitative Biology 2017-01-18 John D. Medaglia , Fabio Pasqualetti , Roy H. Hamilton , Sharon L. Thompson-Schill , Danielle S. Bassett

The hierarchical organization of the brain is a fundamental structural principle, while brain criticality is a leading hypothesis for its collective dynamics. However, the connection between structure and signatures of criticality remains…

Neurons and Cognition · Quantitative Biology 2026-04-24 Gustavo G. Cambrainha , Daniel M. Castro , Leonardo L. Gollo , Pedro V. Carelli , Mauro Copelli

Motivated by the idea that criticality and universality of phase transitions might play a crucial role in achieving and sustaining learning and intelligent behaviour in biological and artificial networks, we analyse a theoretical and a…

Artificial Intelligence · Computer Science 2017-06-01 Dan Oprisa , Peter Toth

Continual learning on edge devices poses unique challenges due to stringent resource constraints. This paper introduces a novel method that leverages stochastic competition principles to promote sparsity, significantly reducing deep network…

Machine Learning · Computer Science 2024-07-16 Theodoros Christophides , Kyriakos Tolias , Sotirios Chatzis

Competitive dynamics are thought to occur in many processes of learning involving synaptic plasticity. Here we show, in a game theory-inspired model of synaptic interactions, that the competition between synapses in their weak and strong…

Disordered Systems and Neural Networks · Physics 2015-05-28 Gaurang Mahajan , Anita Mehta