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This paper presents a systematic study of the application of convolutional neural networks (CNNs) as an efficient and versatile tool for the analysis of critical and low-temperature phase states in spin system models. The problem of…

Computational Physics · Physics 2025-12-09 Dmitrii Kapitan , Pavel Ovchinnikov , Konstantin Soldatov , Petr Andriushchenko , Vitalii Kapitan

Conditional generation is a subclass of generative problems where the output of the generation is conditioned by the attribute information. In this paper, we present a stochastic contrastive conditional generative adversarial network…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Vitaliy Kinakh , Mariia Drozdova , Guillaume Quétant , Tobias Golling , Slava Voloshynovskiy

The $q$-neighbor Ising model is investigated on homogeneous random graphs with a fraction of edges associated randomly with antiferromagnetic exchange integrals and the remaining edges with ferromagnetic ones. It is a nonequilibrium model…

Statistical Mechanics · Physics 2020-12-09 A. Krawiecki

We develop a one-class, deep-learning framework to detect the phase transition and recover critical behavior of the 3D Ising model. A 3D convolutional neural network autoencoder (CAE) is trained on ground-state configurations only, without…

We demonstrate, by means of a convolutional neural network, that the features learned in the two-dimensional Ising model are sufficiently universal to predict the structure of symmetry-breaking phase transitions in considered systems…

Statistical Mechanics · Physics 2020-11-25 Dimitrios Bachtis , Gert Aarts , Biagio Lucini

The critical 2-dimensional Ising model is studied with four types boundary conditions: free, fixed ferromagnetic, fixed antiferromagnetic, fixed double antiferromagnetic. Using Bond Propagation algorithms with surface fields, we obtained…

Statistical Mechanics · Physics 2014-09-24 Xintian Wu , Nickolay Izmailyan

Machine learning is becoming widely used in condensed matter physics. Inspired by the concept of image super-resolution, we propose a method to increase the size of lattice spin configurations using deep convolutional neural networks.…

Statistical Mechanics · Physics 2019-02-13 Stavros Efthymiou , Matthew J. S. Beach , Roger G. Melko

Conditional Generative Adversarial Networks (cGANs) are generative models that can produce data samples ($x$) conditioned on both latent variables ($z$) and known auxiliary information ($c$). We propose the Bidirectional cGAN (BiCoGAN),…

Machine Learning · Computer Science 2018-11-06 Ayush Jaiswal , Wael AbdAlmageed , Yue Wu , Premkumar Natarajan

We study dimensional crossover in Ising systems at complex temperatures by comparing three types of system: the infinite isotropic 2D Ising model; the infinite anisotropic 2D Ising model; and Ising ladders with a finite number of legs. In…

Statistical Mechanics · Physics 2020-04-22 Sankhya Basu , Chris A. Hooley , Vadim Oganesyan

Machine learning methods are powerful in distinguishing different phases of matter in an automated way and provide a new perspective on the study of physical phenomena. We train a Restricted Boltzmann Machine (RBM) on data constructed with…

Statistical Mechanics · Physics 2020-09-23 Shotaro Shiba Funai , Dimitrios Giataganas

The emergence of complex modulated structures in the magnetization pattern of thin films is a well-established experimental phenomenology caused by the frustrating effects of competing interactions. Using a coarse-grained version of the…

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov

We study the phase transition of the Ising model in networks with core-periphery structures. By Monte Carlo simulations, we show that prior to the order-disorder phase transition the system organizes into an inhomogeneous intermediate phase…

Statistical Mechanics · Physics 2018-06-12 Hanshuang Chen , Haifeng Zhang , Chuansheng Shen

Computation with the Ising model is central to future computing technologies like quantum annealing, adiabatic quantum computing, and thermodynamic classical computing. Traditionally, computed values have been equated with ground states.…

Disordered Systems and Neural Networks · Physics 2025-11-04 Andrew G. Moore

We train a set of Restricted Boltzmann Machines (RBMs) on one- and two-dimensional Ising spin configurations at various values of temperature, generated using Monte Carlo simulations. We validate the training procedure by monitoring several…

Computational Physics · Physics 2019-08-14 Guido Cossu , Luigi Del Debbio , Tommaso Giani , Ava Khamseh , Michael Wilson

We employ the microcanonical inflection-point analysis method, developed for the systematic identification and classification of phase transitions in systems of any size, to study the two-dimensional Ising model at various lattice sizes and…

Statistical Mechanics · Physics 2023-06-30 Kedkanok Sitarachu , Michael Bachmann

Recently, generative machine-learning models have gained popularity in physics, driven by the goal of improving the efficiency of Markov chain Monte Carlo techniques and of exploring their potential in capturing experimental data…

Statistical Mechanics · Physics 2021-09-03 Japneet Singh , Vipul Arora , Vinay Gupta , Mathias S. Scheurer

The Ising model in small-world networks generated from two- and three-dimensional regular lattices has been studied. Monte Carlo simulations were carried out to characterize the ferromagnetic transition appearing in these systems. In the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Carlos P. Herrero

We introduce SalGAN, a deep convolutional neural network for visual saliency prediction trained with adversarial examples. The first stage of the network consists of a generator model whose weights are learned by back-propagation computed…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Junting Pan , Cristian Canton Ferrer , Kevin McGuinness , Noel E. O'Connor , Jordi Torres , Elisa Sayrol , Xavier Giro-i-Nieto

The problem of identifying the phase of a given system for a certain value of the temperature can be reformulated as a classification problem in Machine Learning. Taking as a prototype the Ising model and using the Support Vector Machine as…

Statistical Mechanics · Physics 2019-06-26 Cinzia Giannetti , Biagio Lucini , Davide Vadacchino