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Main Authors:	Lucente, Dario, Gradenigo, Giacomo, Salasnich, Luca
Format:	Preprint
Published:	2025
Subjects:	Disordered Systems and Neural Networks
Online Access:	https://arxiv.org/abs/2510.16422
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Probing marginal stability in the spherical $p=2$ model
by: Niedda, Jacopo, et al.
Published: (2024)

Generalized Lotka-Volterra model with sparse interactions: non-Gaussian effects and topological multiple-equilibria phase
by: Tonolo, Tommaso, et al.
Published: (2025)

Heterogeneity dominates irreversibility in random Markov models
by: Mosam, Faheem, et al.
Published: (2026)

Novel Kuramoto model with inhibition dynamics modeling scale-free avalanches and synchronization in neuronal cultures
by: Lucente, Dario, et al.
Published: (2025)

Phase transitions from linear to nonlinear information processing in neural networks
by: Matsumura, Masaya, et al.
Published: (2025)

Statistical physics analysis of graph neural networks: Approaching optimality in the contextual stochastic block model
by: Duranthon, O., et al.
Published: (2025)

Programmable polyaniline nano neural network. A simple physical model
by: Langer, Jerzy J.
Published: (2024)

The scaling behaviour of localised and extended states in one-dimensional tight-binding models with disorder
by: Schaefer, Luca, et al.
Published: (2024)

Implicit bias produces neural scaling laws in learning curves, from perceptrons to deep networks
by: D'Amico, Francesco, et al.
Published: (2025)

Beyond overcomplication: a linear model suffices to decode hidden structure-property relationships in glasses
by: Wang, Chenyan, et al.
Published: (2026)

Information and Configurational Entropy in Glassy Systems
by: Fraenkel, Ittai, et al.
Published: (2024)

Generalized hetero-associative neural networks
by: Agliari, Elena, et al.
Published: (2024)

Multifractality in critical neural field dynamics
by: Dumeur, Merlin, et al.
Published: (2023)

Boomerang effect in classical stochastic models
by: Zamora, Santiago, et al.
Published: (2024)

Renormalization group analysis of noisy neural field
by: Zang, Jie, et al.
Published: (2025)

Critical feature learning in deep neural networks
by: Fischer, Kirsten, et al.
Published: (2024)

A stochastic method to compute the $L^2$ localisation landscape
by: Kakoi, Masataka, et al.
Published: (2022)

Improving deep neural network performance through sampling
by: Ghantasala, Lakshmi A., et al.
Published: (2025)

Partial annealing and pattern decorrelation in associative neural networks
by: Albanese, Linda, et al.
Published: (2026)

Gaussian approximation of dynamic cavity equations for linearly-coupled stochastic dynamics
by: Tarabolo, Mattia, et al.
Published: (2024)

Instant prediction of relaxation in moiré superlattices using neural networks
by: Belonovskii, Aleksei V., et al.
Published: (2025)

Arbitrage equilibrium and the emergence of universal microstructure in deep neural networks
by: Venkatasubramanian, Venkat, et al.
Published: (2024)

Local equations describe unreasonably efficient stochastic algorithms in random K-SAT
by: Machado, David, et al.
Published: (2025)

Renormalization group for deep neural networks: Universality of learning and scaling laws
by: Coppola, Gorka Peraza, et al.
Published: (2025)

Topological mechanical neural networks as classifiers through in situ backpropagation learning
by: Li, Shuaifeng, et al.
Published: (2025)

Semiclassical picture of the Heisenberg spin glass in two dimensions: from weak localization to hydrodynamics
by: Bracci-Testasecca, Giacomo, et al.
Published: (2026)

The phase boundary of the random site Ising model
by: Zinati, Riccardo Ben Alì, et al.
Published: (2026)

Isolating the hard core of phaseless inference: the Phase selection formulation
by: Straziota, Davide, et al.
Published: (2025)

The different localisation properties of the eigenmodes of the Laplacian and adjacency matrix of 2D random geometric graphs
by: Schaefer, Luca, et al.
Published: (2026)

Dynamics of neural scaling laws in random feature regression with powerlaw-distributed kernel eigenvalues
by: Kramp, Jakob, et al.
Published: (2026)

Antagonistic interactions can stabilise fixed points in heterogeneous linear dynamical systems
by: Cure, Samuel, et al.
Published: (2021)

Adaptive-basis sample-based neural diagonalization for quantum many-body systems
by: Cantori, Simone, et al.
Published: (2025)

A statistical mechanics framework for Bayesian deep neural networks beyond the infinite-width limit
by: Pacelli, R., et al.
Published: (2022)

Auxiliary Physics-Informed Neural Networks for Forward, Inverse, and Coupled Radiative Transfer Problems
by: Riganti, Roberto, et al.
Published: (2023)

Tricritical behavior in a neural model with excitatory and inhibitory units
by: Almeira, Joaquin, et al.
Published: (2022)

Novel exact solutions of the Duffing equation: stability analysis and application to real non-linear deformation tests
by: Berezner, A. D., et al.
Published: (2025)

Sparse Interactions Reshape Stability in Random Lotka-Volterra Dynamics
by: Tarabolo, Mattia, et al.
Published: (2025)

Statistical physics of complex systems: glasses, spin glasses, continuous constraint satisfaction problems, high-dimensional inference and neural networks
by: Urbani, Pierfrancesco
Published: (2024)

Daydreaming Hopfield Networks and their surprising effectiveness on correlated data
by: Serricchio, Ludovica, et al.
Published: (2024)

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