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A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

Statistical Mechanics · Physics 2008-02-03 T. Nattermann

We introduce PathGAN, a deep neural network for visual scanpath prediction trained on adversarial examples. A visual scanpath is defined as the sequence of fixation points over an image defined by a human observer with its gaze. PathGAN is…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Marc Assens , Xavier Giro-i-Nieto , Kevin McGuinness , Noel E. O'Connor

We study the two-dimensional square lattice Ising ferromagnet and antiferromagnet with a magnetic field by using tensor network method. Focusing on the role of guage fixing, we present the partition function in terms of a tensor network.…

Statistical Mechanics · Physics 2025-01-03 Myung-Hoon Chung

In this paper, we applied a deep neural network to study the issue of knowledge transferability between statistical mechanics models. The following computer experiment was conducted. A convolutional neural network was trained to solve the…

Disordered Systems and Neural Networks · Physics 2024-11-21 Diana Sukhoverkhova , Lev Shchur

It has been suggested that an information geometric view of statistical mechanics in which a metric is introduced onto the space of parameters provides an interesting alternative characterisation of the phase structure, particularly in the…

Statistical Mechanics · Physics 2009-11-07 W. Janke , D. A. Johnston , Ranasinghe P. K. C. Malmini

Conditional probability distributions describe the effect of learning an initially unknown classical state through Bayesian inference. Here we demonstrate the existence of a \textit{learning transition}, having signatures in the long…

Statistical Mechanics · Physics 2026-05-13 Malte Pütz , Samuel J. Garratt , Hidetoshi Nishimori , Simon Trebst , Guo-Yi Zhu

Learning disentangled representations requires either supervision or the introduction of specific model designs and learning constraints as biases. InfoGAN is a popular disentanglement framework that learns unsupervised disentangled…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Xiao Liu , Spyridon Thermos , Pedro Sanchez , Alison Q. O'Neil , Sotirios A. Tsaftaris

A systematic study of both classical and quantum geometric frustrated Ising models with a competing ordering mechanism is reported in this paper. The ordering comes in the classical case from a coupling of 2D layers and in the quantum model…

Statistical Mechanics · Physics 2007-05-23 Ying Jiang , Thorsten Emig

Conditional Generative Adversarial Networks (cGANs) extend the standard unconditional GAN framework to learning joint data-label distributions from samples, and have been established as powerful generative models capable of generating…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Ligong Han , Martin Renqiang Min , Anastasis Stathopoulos , Yu Tian , Ruijiang Gao , Asim Kadav , Dimitris Metaxas

Diagnosis of ice accretion on wind turbine blades is all the time a hard nut to crack in condition monitoring of wind farms. Existing methods focus on mechanism analysis of icing process, deviation degree analysis of feature engineering.…

Machine Learning · Computer Science 2025-01-20 Wenqian Jiang , Junyang Jin

We study numerically the region above the critical temperature of the four dimensional Random Field Ising Model. Using a cluster dynamic we measure the connected and disconnected magnetic susceptibility and the connected and disconnected…

Disordered Systems and Neural Networks · Physics 2009-10-30 Roberto Sacconi

Generative Adversarial Networks (GANs) can generate near photo realistic images in narrow domains such as human faces. Yet, modeling complex distributions of datasets such as ImageNet and COCO-Stuff remains challenging in unconditional…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 Arantxa Casanova , Marlène Careil , Jakob Verbeek , Michal Drozdzal , Adriana Romero-Soriano

The nature of the zero temperature ordering transition in the 3D Gaussian random field Ising magnet is studied numerically, aided by scaling analyses. In the ferromagnetic phase the scaling of the roughness of the domain walls, $w\sim…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Alan Middleton , Daniel S. Fisher

Using the approach developed in \cite{REFVIC2}, we succeeded in reconstructing the behaviour of the antiferromagnetic Ising model with imaginary magnetic field $i\theta$ for two and three dimensions in the low temperature regime. A…

High Energy Physics - Lattice · Physics 2011-11-28 Vicente Azcoiti , Eduardo Follana , Alejandro Vaquero

We propose a novel method that trains a conditional Generative Adversarial Network (GAN) to generate visual interpretations of a Convolutional Neural Network (CNN). To comprehend a CNN, the GAN is trained with information on how the CNN…

Computer Vision and Pattern Recognition · Computer Science 2023-11-10 R T Akash Guna , Raul Benitez , O K Sikha

To address the issues of a weak generalization capability and interpretability in working condition recognition model of a fused magnesium furnace, this paper proposes an interpretable working condition recognition method based on deep…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Li Weitao , Zhang Xinru , Wang Dianhui , Tong Qianqian , Chai Tianyou

I present IGAN (Inferent Generative Adversarial Networks), a neural architecture that learns both a generative and an inference model on a complex high dimensional data distribution, i.e. a bidirectional mapping between data samples and a…

Machine Learning · Computer Science 2024-09-04 Luc Vignaud

Thermodynamic properties of the ferromagnetic Ising model on the hierarchical pentagon lattice is studied by means of the tensor network methods. The lattice consists of pentagons, where 3 or 4 of them meet at each vertex. Correlation…

Statistical Mechanics · Physics 2024-07-08 Takumi Oshima , Tomotoshi Nishino

We consider an Ising model where longitudinal components of every pair of spins have antiferromagnetic interaction of the same magnitude. When subjected to a transverse magnetic field at zero temperature, the system undergoes a phase…

Statistical Mechanics · Physics 2015-05-14 Anindita Ganguli , Subinay Dasgupta

The mean-field and effective-field approximations are applied in the study of magnetic and thermodynamic properties of a spin-$1/2$ Ising system containing three layers, each of which is composed exclusively of one out of two possible types…

Statistical Mechanics · Physics 2017-11-02 I J L Diaz , N S Branco