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Large reasoning models (LRMs) have demonstrated impressive capabilities in complex problem-solving, yet their internal reasoning mechanisms remain poorly understood. In this paper, we investigate the reasoning trajectories of LRMs from an…

Artificial Intelligence · Computer Science 2025-06-05 Chen Qian , Dongrui Liu , Haochen Wen , Zhen Bai , Yong Liu , Jing Shao

Interdependent networks are more fragile under random attacks than simplex networks, because interlayer dependencies lead to cascading failures and finally to a sudden collapse. This is a hybrid phase transition (HPT), meaning that at the…

Statistical Mechanics · Physics 2016-04-12 Deokjae Lee , S. Choi , M. Stippinger , J. Kertész , B. Kahng

We show that the entropy of the distribution of avalanche lifetimes in the Kinouchi-Copelli model always achieves a maximum jointly with the dynamic range. This is noteworthy and nontrivial because while the dynamic range is an equilibrium…

Biological Physics · Physics 2013-07-15 Thiago S. Mosqueiro , Leonardo P. Maia

A model of sensory information processing is presented. The model assumes that learning of internal (hidden) generative models, which can predict the future and evaluate the precision of that prediction, is of central importance for…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Andras Lorincz

Latent visual reasoning aims to mimic human's imagination process by meditating through hidden states of Multimodal Large Language Models. While recognized as a promising paradigm for visual reasoning, the underlying mechanisms driving its…

Computation and Language · Computer Science 2026-02-27 You Li , Chi Chen , Yanghao Li , Fanhu Zeng , Kaiyu Huang , Jinan Xu , Maosong Sun

We study the correlations between avalanches in the depinning dynamics of elastic interfaces driven on a random substrate. In the mean field theory (the Brownian force model), it is known that the avalanches are uncorrelated. Here we obtain…

Disordered Systems and Neural Networks · Physics 2020-03-18 Pierre Le Doussal , Thimothée Thiery

Deep neural networks set the state-of-the-art across many tasks in computer vision, but their generalization ability to image distortions is surprisingly fragile. In contrast, the mammalian visual system is robust to a wide range of…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Shahd Safarani , Arne Nix , Konstantin Willeke , Santiago A. Cadena , Kelli Restivo , George Denfield , Andreas S. Tolias , Fabian H. Sinz

This study examine the difference in the size of avalanches among industries triggered by demand shocks, which can be rephrased by control of the economy or fiscal policy, and by using the production-inventory model and observed data. We…

General Finance · Quantitative Finance 2016-04-05 Hiroyasu Inoue

Slowly driven dissipative systems may evolve to a critical state where long periods of apparent equilibrium are punctuated by intermittent avalanches of activity. We present a self-organized critical model of punctuated equilibrium behavior…

Condensed Matter · Physics 2009-10-28 Stefan Boettcher , Maya Paczuski

We consider the information transmission problem in neurons and its possible implications for learning in neural networks. Our approach is based on recent developments in statistical physics and complexity science. Combining sensory…

Neurons and Cognition · Quantitative Biology 2025-09-30 Siddharth Kackar

We study avalanches along the hysteresis loop of long-range interacting spin-glasses with continuous XY-symmetry - which serves as a toy model of granular superconductors with long-range and frustrated Josephson couplings. We identify…

Disordered Systems and Neural Networks · Physics 2015-06-22 Auditya Sharma , Alexei Andreanov , Markus Mueller

Humans can approach complex visual problems by mentally simulating intermediate visual steps, rather than reasoning through language alone. Inspired by this, several works on Vision-Language Models have recently explored chain-of-thought…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 André G. Viveiros , Nuno Gonçalves , André F. T. Martins , Matthias Lindemann

The structure of the axon-dendrite connections of neurons of the brain creates a rich spatial structure in which provided various combinations of signals surrounding neurons. Structure of dendritic trees and shape of dendritic spines allow…

Artificial Intelligence · Computer Science 2014-07-25 Alexey Redozubov

The dynamics of complex systems in nature often occurs in terms of punctuations, or avalanches, rather than following a smooth, gradual path. A comprehensive theory of avalanche dynamics in models of growth, interface depinning, and…

adap-org · Physics 2009-10-28 M. Paczuski , S. Maslov , P. Bak

Our knowledge of the sensory world is encoded by neurons in sequences of discrete, identical pulses termed action potentials or spikes. There is persistent controversy about the extent to which the precise timing of these spikes is relevant…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ilya Nemenman , Geoffrey D. Lewen , William Bialek , Rob R. de Ruyter van Steveninck

We consider a neuronal levels model that exhibits critical avalanches satisfying power-law distribution. The model has recently explained a change in the scaling exponent from 3/2 to 5/4, accounting for a change in the drive condition from…

Statistical Mechanics · Physics 2022-09-07 Abdul Quadir , Haider Hasan Jafri , Avinash Chand Yadav

Life depends as much on the flow of information as on the flow of energy. Here we review the many efforts to make this intuition precise. Starting with the building blocks of information theory, we explore examples where it has been…

Quantitative Methods · Quantitative Biology 2014-12-31 Gašper Tkačik , William Bialek

Visual information is processed in hierarchically organized parallel pathways in the primate brain. In lower cortical areas, color information and shape information are processed in a parallel manner, while in higher cortical areas, various…

Neurons and Cognition · Quantitative Biology 2023-07-07 Hiroshi Tamura

Using a simple cellular automaton with stochastic rules we show the possible emergence of thermally activated avalanches (power law distributed) in type-II superconductors. Scaling relations between the exponents characterizing these…

Superconductivity · Physics 2007-05-23 R. Mulet , R. Cruz , E. Altshuler

Using a mechanical cantilever submitted to electrostatic feedback control, we investigate the thermodynamic properties of an information engine that extracts work from thermal fluctuations. The cantilever position is rapidly sampled and the…