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We present an analysis of neural network-based machine learning schemes for phases and phase transitions in theoretical condensed matter research, focusing on neural networks with a single hidden layer. Such shallow neural networks were…

统计力学 · 物理学 2018-06-06 Philippe Suchsland , Stefan Wessel

In this article, we explore the potential of artificial neural networks, which are trained using an exceptionally simplified catalog of ideal configurations encompassing both order and disorder. We explore the generalisation power of these…

无序系统与神经网络 · 物理学 2024-06-19 G. L. Garcia Pavioni , M. Arlego , C. A. Lamas

The classification of phase transitions is a central and challenging task in condensed matter physics. Typically, it relies on the identification of order parameters and the analysis of singularities in the free energy and its derivatives.…

As powerful as machine learning (ML) techniques are in solving problems involving data with large dimensionality, explaining the results from the fitted parameters remains a challenging task of utmost importance, especially in physics…

无序系统与神经网络 · 物理学 2024-04-15 Roberto C. Alamino

Unsupervised learning is a discipline of machine learning which aims at discovering patterns in big data sets or classifying the data into several categories without being trained explicitly. We show that unsupervised learning techniques…

统计力学 · 物理学 2016-11-04 Lei Wang

Detection of phase transitions is a critical task in statistical physics, traditionally pursued through analytic methods and direct numerical simulations. Recently, machine-learning techniques have emerged as promising tools in this…

统计力学 · 物理学 2025-02-19 Burak Çivitcioğlu , Rudolf A. Römer , Andreas Honecker

The detection of phase transitions is a fundamental challenge in condensed matter physics, traditionally addressed through analytical methods and direct numerical simulations. In recent years, machine learning techniques have emerged as…

无序系统与神经网络 · 物理学 2025-01-14 Djenabou Bayo , Burak Çivitcioğlu , Joseph J Webb , Andreas Honecker , Rudolf A. Römer

Machine-learning driven models have proven to be powerful tools for the identification of phases of matter. In particular, unsupervised methods hold the promise to help discover new phases of matter without the need for any prior…

Determining the phase diagram of systems consisting of smaller subsystems 'connected' via a tunable coupling is a challenging task relevant for a variety of physical settings. A general question is whether new phases, not present in the…

无序系统与神经网络 · 物理学 2020-09-29 W. Rzadkowski , N. Defenu , S. Chiacchiera , A. Trombettoni , G. Bighin

An InfoCGAN neural network is trained on 2-dimensional square Ising configurations conditioned on the external applied magnetic field and the temperature. The network is composed of two main sub-networks. The generator network learns to…

统计力学 · 物理学 2020-10-21 Nicholas Walker , Ka Ming Tam

We apply a set of machine-learning (ML) techniques for the global exploration of the phase diagrams of two frustrated 2D Ising models with competing interactions. Based on raw Monte Carlo spin configurations generated for random system…

统计力学 · 物理学 2021-12-03 Danilo Rodrigues de Assis Elias , Enzo Granato , Maurice de Koning

In this paper, we introduce a new deep learning framework for discovering the phase field models from existing image data. The new framework embraces the approximation power of physics informed neural networks (PINN), and the computational…

数值分析 · 数学 2020-07-10 Jia Zhao

Known for their ability to identify hidden patterns in data, artificial neural networks are among the most powerful machine learning tools. Most notably, neural networks have played a central role in identifying states of matter and phase…

无序系统与神经网络 · 物理学 2020-09-15 Chao Fang , Amin Barzegar , Helmut G. Katzgraber

In this work we propose an extension of physics informed supervised learning strategies to parametric partial differential equations. Indeed, even if the latter are indisputably useful in many applications, they can be computationally…

机器学习 · 计算机科学 2024-01-22 Nicola Demo , Maria Strazzullo , Gianluigi Rozza

We investigate the application of deep learning techniques employing the conditional variational autoencoders for semi-supervised learning of latent parameters to describe phase transition in the two-dimensional (2D) ferromagnetic Ising…

统计力学 · 物理学 2023-06-30 Adwait Naravane , Nilmani Mathur

We apply unsupervised learning techniques to classify the different phases of the $J_1-J_2$ antiferromagnetic Ising model on the honeycomb lattice. We construct the phase diagram of the system using convolutional autoencoders. These neural…

强关联电子 · 物理学 2021-04-21 S. Acevedo , M. Arlego , C. A. Lamas

This paper introduces a physics-informed machine learning approach for pathloss prediction. This is achieved by including in the training phase simultaneously (i) physical dependencies between spatial loss field and (ii) measured pathloss…

机器学习 · 统计学 2023-12-15 Steffen Limmer , Alberto Martinez Alba , Nicola Michailow

For performing regression tasks involved in various physics problems, enhancing the precision or equivalently reducing the uncertainty of regression results is undoubtedly one of the central goals. Here, somewhat surprisingly, we find that…

统计力学 · 物理学 2023-11-09 Wei-Chen Guo , Liang He

Machine-learning techniques have proved successful in identifying ordered phases of matter. However, it remains an open question how far they can contribute to the understanding of phases without broken symmetry, such as spin liquids. Here…

强关联电子 · 物理学 2019-11-19 Jonas Greitemann , Ke Liu , Ludovic D. C. Jaubert , Han Yan , Nic Shannon , Lode Pollet

The widespread use of neural networks across different scientific domains often involves constraining them to satisfy certain symmetries, conservation laws, or other domain knowledge. Such constraints are often imposed as soft penalties…

机器学习 · 计算机科学 2020-01-15 Sifan Wang , Yujun Teng , Paris Perdikaris
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