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A number of studies have concluded that dreaming is mostly caused by randomly arriving internal signals because "dream contents are random impulses", and argued that dream sleep is unlikely to play an important part in our intellectual…

Neurons and Cognition · Quantitative Biology 2026-02-05 Qi Zhang

The brain is in a state of perpetual reverberant neural activity, even in the absence of specific tasks or stimuli. Shedding light on the origin and functional significance of such a dynamical state is essential to understanding how the…

Statistical Mechanics · Physics 2022-07-08 Guillermo B. Morales , Serena Di Santo , Miguel A. Munoz

The principled design and discovery of biologically- and physically-informed models of neuronal dynamics has been advancing since the mid-twentieth century. Recent developments in artificial intelligence (AI) have accelerated this progress.…

Neurons and Cognition · Quantitative Biology 2021-12-24 Mahta Ramezanian Panahi , Germán Abrevaya , Jean-Christophe Gagnon-Audet , Vikram Voleti , Irina Rish , Guillaume Dumas

This paper introduces a biomathematical model designed to describe the internal dynamics of dream formation and spontaneous cognitive processes. The model incorporates neurocognitive factors such as dissatisfaction, acceptance, forgetting,…

Neurons and Cognition · Quantitative Biology 2025-05-12 Shirmohammad Tavangari , Sajjad Janfaza , Zahra Shakarami , Aref Yelghi

This paper presents an overview of some techniques and concepts coming from dynamical system theory and used for the analysis of dynamical neural networks models. In a first section, we describe the dynamics of the neuron, starting from the…

Adaptation and Self-Organizing Systems · Physics 2011-11-09 B. Cessac , M. Samuelides

In many complex systems, elementary units live in a chaotic environment and need to adapt their strategies to perform a task, by extracting information from the environment and controlling the feedback loop on it. One of the main example of…

Disordered Systems and Neural Networks · Physics 2023-09-26 Samantha J. Fournier , Pierfrancesco Urbani

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei

In this paper, we derive a new model of synaptic plasticity, based on recent algorithms for reinforcement learning (in which an agent attempts to learn appropriate actions to maximize its long-term average reward). We show that these direct…

Machine Learning · Computer Science 2019-11-19 Peter L. Bartlett , Jonathan Baxter

Among the versatile forms of dynamical patterns of activity exhibited by the brain, oscillations are one of the most salient and extensively studied, yet are still far from being well understood. In this paper, we provide various structural…

Systems and Control · Electrical Eng. & Systems 2021-08-12 Erfan Nozari , Robert Planas , Jorge Cortes

Progress has led to a detailed understanding of the neural mechanisms that underlie decision making in primates. However, less is known about why such mechanisms are present in the first place. Theory suggests that primate decision making…

Neurons and Cognition · Quantitative Biology 2026-01-21 Nathan J. Wispinski , Scott A. Stone , Anthony Singhal , Patrick M. Pilarski , Craig S. Chapman

Incorporating the inherent heterogeneity of living systems into models of active nematics is essential to provide a more realistic description of biological processes such as bacterial growth, cell dynamics and tissue development.…

Soft Condensed Matter · Physics 2024-11-06 Alexander J. H. Houston , Nigel J. Mottram

The past few years have witnessed an increased interest in learning Hamiltonian dynamics in deep learning frameworks. As an inductive bias based on physical laws, Hamiltonian dynamics endow neural networks with accurate long-term…

Machine Learning · Computer Science 2022-03-02 Zhijie Chen , Mingquan Feng , Junchi Yan , Hongyuan Zha

Information measures are often used to assess the efficacy of neural networks, and learning rules can be derived through optimization procedures on such measures. In biological neural networks, computation is restricted by the amount of…

Neurons and Cognition · Quantitative Biology 2021-03-12 Dmytro Grytskyy , Renaud B. Jolivet

Learning requires the traversal of inherently distinct cognitive states to produce behavioral adaptation. Yet, tools to explicitly measure these states with non-invasive imaging -- and to assess their dynamics during learning -- remain…

In spite of the large amount of existing neural models in the literature, there is a lack of a systematic review of the possible effect of choosing different initial conditions on the dynamic evolution of neural systems. In this short…

Neurons and Cognition · Quantitative Biology 2016-05-24 Pedro A. Valdes-Hernandez , Thomas Knoesche

It is widely accepted that the complex dynamics characteristic of recurrent neural circuits contributes in a fundamental manner to brain function. Progress has been slow in understanding and exploiting the computational power of recurrent…

Chaotic Dynamics · Physics 2013-07-18 Rodrigo Laje , Dean V. Buonomano

In this overview, we discuss the connections between the observations of critical dynamics in neuronal networks and the maximum entropy models that are often used as statistical models of neural activity, focusing in particular on the…

Neurons and Cognition · Quantitative Biology 2018-12-24 Martino Sorbaro , J. Michael Herrmann , Matthias H. Hennig

The ability of a brain or a neural network to efficiently learn depends crucially on both the task structure and the learning rule. Previous works have analyzed the dynamical equations describing learning in the relatively simplified…

Machine Learning · Computer Science 2025-02-26 Christian Schmid , James M. Murray

The classic paradigms for learning and memory recall focus on strengths of synaptic couplings and how these can be modulated to encode memories. In a previous paper [A. K. Behera, M. Rao, S. Sastry, and S. Vaikuntanathan, Physical Review X…

Disordered Systems and Neural Networks · Physics 2024-10-10 Agnish Kumar Behera , Matthew Du , Uday Jagadisan , Srikanth Sastry , Madan Rao , Suriyanarayanan Vaikuntanathan

The aim of the present paper is to study the effects of Hebbian learning in random recurrent neural networks with biological connectivity, i.e. sparse connections and separate populations of excitatory and inhibitory neurons. We furthermore…

Neurons and Cognition · Quantitative Biology 2007-06-19 Benoit Siri , Mathias Quoy , Bruno Delord , Bruno Cessac , Hugues Berry