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Experimental fMRI studies have shown that spontaneous brain activity i.e. in the absence of any external input, exhibit complex spatial and temporal patterns of co-activity between segregated brain regions. These so-called large-scale…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Vesna Vuksanović , Philipp Hövel

This paper models the dynamics of a large set of interacting neurons within the framework of statistical field theory. We use a method initially developed in the context of statistical field theory [44] and later adapted to complex systems…

Neurons and Cognition · Quantitative Biology 2022-05-25 Pierre Gosselin , Aïleen Lotz , Marc Wambst

Skills are essential for unlocking higher levels of problem solving. A common approach to discovering these skills is to learn ones that reliably reach different states, thus empowering the agent to control its environment. However,…

Machine Learning · Computer Science 2025-10-07 Jonathan Colaço Carr , Qinyi Sun , Cameron Allen

Disordered many-body systems exhibit a wide range of emergent phenomena across different scales. These complex behaviors can be utilized for various information processing tasks such as error correction, learning, and optimization. Despite…

Disordered Systems and Neural Networks · Physics 2023-08-04 Weishun Zhong

Recent developed graph-based methods for diagnosing brain disorders using functional connectivity highly rely on predefined brain atlases, but overlook the rich information embedded within atlases and the confounding effects of site and…

Machine Learning · Computer Science 2025-10-16 Qianqian Liao , Wuque Cai , Hongze Sun , Dongze Liu , Duo Chen , Dezhong Yao , Daqing Guo

We construct a data-driven model of flows in graphs that captures the essential elements of the movement of workers between jobs in the companies (firms) of entire economic systems such as countries. The model is based on the observation…

Physics and Society · Physics 2023-02-22 Eduardo López , Omar Guerrero , Robert L. Axtell

In this paper, we address the problem of placing sensor probes in the brain such that the system dynamics' are generically observable. The system dynamics whose states can encode for instance the fire-rating of the neurons or their ensemble…

Optimization and Control · Mathematics 2015-08-31 Sergio Pequito , Paul Bogdan , George J. Pappas

Gradient-based learning in multi-layer neural networks displays a number of striking features. In particular, the decrease rate of empirical risk is non-monotone even after averaging over large batches. Long plateaus in which one observes…

Machine Learning · Computer Science 2025-03-25 Raphaël Berthier , Andrea Montanari , Kangjie Zhou

Spiking neural networks are motivated from principles of neural systems and may possess unexplored advantages in the context of machine learning. A class of \textit{convolutional spiking neural networks} is introduced, trained to detect…

Neural and Evolutionary Computing · Computer Science 2018-08-27 Daniel J. Saunders , Hava T. Siegelmann , Robert Kozma , Miklós Ruszinkó

To thrive in dynamic environments, animals must be capable of rapidly and flexibly adapting behavioral responses to a changing context and internal state. Examples of behavioral flexibility include faster stimulus responses when attentive…

Neurons and Cognition · Quantitative Biology 2021-01-27 David Wyrick , Luca Mazzucato

Understanding the sequence of cognitive operations that underlie decision-making is a fundamental challenge in cognitive neuroscience. Traditional approaches often rely on group-level statistics, which obscure trial-by-trial variations in…

Neurons and Cognition · Quantitative Biology 2025-04-15 Rick den Otter , Gabriel Weindel , Sjoerd Stuit , Leendert van Maanen

Functional connectivity (FC) between regions of the brain can be assessed by the degree of temporal correlation measured with functional neuroimaging modalities. Based on the fact that these connectivities build a network, graph-based…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Byung-Hoon Kim , Jong Chul Ye , Jae-Jin Kim

The human brain is composed of distinct regions that are each associated with particular functions and distinct propensities for the control of neural dynamics. However, the relation between these functions and control profiles is poorly…

Neurons and Cognition · Quantitative Biology 2020-06-02 Evelyn Tang , Harang Ju , Graham L. Baum , David R. Roalf , Theodore D. Satterthwaite , Fabio Pasqualetti , Danielle S. Bassett

Cortical neurons emit seemingly erratic trains of action potentials or "spikes," and neural network dynamics emerge from the coordinated spiking activity within neural circuits. These rich dynamics manifest themselves in a variety of…

Neurons and Cognition · Quantitative Biology 2022-04-01 Braden A. W. Brinkman , Han Yan , Arianna Maffei , Il Memming Park , Alfredo Fontanini , Jin Wang , Giancarlo La Camera

Neural spike trains, which are sequences of very brief jumps in voltage across the cell membrane, were one of the motivating applications for the development of point process methodology. Early work required the assumption of stationarity,…

Applications · Statistics 2011-08-01 Robert E. Kass , Ryan C. Kelly , Wei-Liem Loh

Mental and cognitive representations are believed to reside on low-dimensional, non-linear manifolds embedded within high-dimensional brain activity. Uncovering these manifolds is key to understanding individual differences in brain…

Machine Learning · Computer Science 2025-05-02 Eloy Geenjaar , Vince Calhoun

In this paper, we present a novel and versatile method to study the dynamics of resting-state fMRI brain connectivity with a high temporal sensitivity. Whereas most existing methods often rely on dividing the time-series into larger…

Neurons and Cognition · Quantitative Biology 2016-01-14 William Hedley Thompson , Peter Fransson

Tasks where the set of possible actions depend discontinuously on the state pose a significant challenge for current reinforcement learning algorithms. For example, a locked door must be first unlocked, and then the handle turned before the…

Robotics · Computer Science 2023-03-09 Mrinal Verghese , Chris Atkeson

How does the brain predict physical outcomes while acting in the world? Machine learning world models compress visual input into latent spaces, discarding the spatial structure that characterizes sensory cortex. We propose isomorphic world…

Neurons and Cognition · Quantitative Biology 2026-02-24 Joshua Nunley

Identifying the brain's neuronal cluster size to be presented as nodes in a network computation is critical to both neuroscience and artificial intelligence, as these define the cognitive blocks required for building intelligent…

Neurons and Cognition · Quantitative Biology 2020-02-26 Anar Amgalan , Patrick Taylor , Lilianne R. Mujica-Parodi , Hava T. Siegelmann