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We present an approach to model time series data from resting state fMRI for autism spectrum disorder (ASD) severity classification. We propose to adopt kernel machines and employ graph kernels that define a kernel dot product between two…

Machine Learning · Statistics 2016-12-04 Rushil Anirudh , Jayaraman J. Thiagarajan , Irene Kim , Wolfgang Polonik

The activity of a neural network is defined by patterns of spiking and silence from the individual neurons. Because spikes are (relatively) sparse, patterns of activity with increasing numbers of spikes are less probable, but with more…

Neurons and Cognition · Quantitative Biology 2025-02-13 Gasper Tkacik , Thierry Mora , Olivier Marre , Dario Amodei , Michael J. Berry , William Bialek

Complex systems produce high-dimensional signals that lack macroscopic variables analogous to entropy, temperature, or free energy. This work introduces a thermoinformational formulation that derives entropy, internal energy, temperature,…

Neurons and Cognition · Quantitative Biology 2026-01-30 George-Rafael Domenikos , Victoria Leong

Open problems abound in the theory of complex networks, which has found successful application to diverse fields of science. With the aim of further advancing the understanding of the brain's functional connectivity, we propose to evaluate…

Neurons and Cognition · Quantitative Biology 2019-02-20 A. Viol , Fernanda Palhano-Fontes , Heloisa Onias , Draulio B. de Araujo , Philipp Hövel , G. M. Viswanathan

We introduce thermodynamic networks, a general framework for autonomous, physics-based computation using non-equilibrium steady states. These networks are modeled as a collection of finite-size reservoirs that exchange conserved…

We present a general method to undertake a thorough analysis of the thermodynamics of the quantum jump trajectories followed by an arbitrary quantum harmonic network undergoing linear and bilinear dynamics. The approach is based on the…

Quantum Physics · Physics 2016-01-12 Simon Pigeon , Lorenzo Fusco , André Xuereb , Gabriele De Chiara , Mauro Paternostro

Accurately predicting nonlinear transient thermal fields in two-dimensional domains is a significant challenge in various engineering fields, where conventional analytical and numerical methods struggle to balance physical fidelity with…

Computational Physics · Physics 2025-04-07 Ze Tao , Fujun Liu , Jinhua Li , Guibo Chen

Recent advances in signal processing and information theory are boosting the development of new approaches for the data-driven modelling of complex network systems. In the fields of Network Physiology and Network Neuroscience where the…

Methodology · Statistics 2024-01-23 Laura Sparacino , Yuri Antonacci , Gorana Mijatovic , Luca Faes

We propose a thermodynamic multi-state spin model in order to describe equilibrial behavior of a society. Our model is inspired by the Axelrod model used in social network studies. In the framework of the statistical mechanics language, we…

Physics and Society · Physics 2015-01-09 Jozef Genzor , Vladimir Buzek , Andrej Gendiar

Equations of State model relations between thermodynamic variables and are ubiquitous in scientific modelling, appearing in modern day applications ranging from Astrophysics to Climate Science. The three desired properties of a general…

The thermodynamic and retrieval properties of fully connected Blume-Emery-Griffiths networks, storing ternary patterns, are studied using replica mean-field theory. Capacity-temperature phase diagrams are derived for several values of the…

Disordered Systems and Neural Networks · Physics 2009-11-07 D. Bolle , T. Verbeiren

The majority vote model is one of the simplest opinion systems yielding distinct phase transitions and has garnered significant interest in recent years. However, its original formulation is not, in general, thermodynamically consistent,…

Statistical Mechanics · Physics 2023-06-16 Felipe Hawthorne , Mário J. de Oliveira , Pedro E. Harunari , Carlos E. Fiore

Network theory provides various tools for investigating the structural or functional topology of many complex systems found in nature, technology and society. Nevertheless, it has recently been realised that a considerable number of systems…

Data Analysis, Statistics and Probability · Physics 2012-03-23 Jonathan F. Donges , Hanna C. H. Schultz , Norbert Marwan , Yong Zou , Juergen Kurths

Understanding the complex neural activity dynamics is crucial for the development of the field of neuroscience. Although current functional MRI classification approaches tend to be based on static functional connectivity or cannot capture…

Machine Learning · Computer Science 2025-08-20 Amirali Arbab , Zeinab Davarani , Mehran Safayani

Machine learning techniques such as artificial neural networks are currently revolutionizing many technological areas and have also proven successful in quantum physics applications. Here we employ an artificial neural network and deep…

Recent work emphasizes that the maximum entropy principle provides a bridge between statistical mechanics models for collective behavior in neural networks and experiments on networks of real neurons. Most of this work has focused on…

Neurons and Cognition · Quantitative Biology 2015-06-05 Gasper Tkacik , Olivier Marre , Thierry Mora , Dario Amodei , Michael J. Berry , William Bialek

We present the design for a thermodynamic computer that can perform arbitrary nonlinear calculations in or out of equilibrium. Simple thermodynamic circuits, fluctuating degrees of freedom in contact with a thermal bath and confined by a…

Statistical Mechanics · Physics 2026-01-08 Stephen Whitelam , Corneel Casert

We provide a phenomenological theory for topological transitions in restructuring networks. In this statistical mechanical approach energy is assigned to the different network topologies and temperature is used as a quantity referring to…

Statistical Mechanics · Physics 2016-08-31 Gergely Palla , Imre Derenyi , Illes Farkas , Tamas Vicsek

This survey presents the most relevant neural network models of autism spectrum disorder and schizophrenia, from the first connectionist models to recent deep network architectures. We analyzed and compared the most representative symptoms…

Neurons and Cognition · Quantitative Biology 2019-11-22 Pablo Lanillos , Daniel Oliva , Anja Philippsen , Yuichi Yamashita , Yukie Nagai , Gordon Cheng

This paper presents the building heating demand prediction model with occupancy profile and operational heating power level characteristics in short time horizon (a couple of days) using artificial neural network. In addition, novel pseudo…

Computational Engineering, Finance, and Science · Computer Science 2014-11-19 S. Paudel , M. Elmtiri , W. L. Kling , O. Le Corre , B. Lacarriere