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We develop the neural network based "learning from regression uncertainty" approach for automated detection of phases of matter in nonequilibrium active systems. Taking the flocking phase transition of self-propelled active particles…

Disordered Systems and Neural Networks · Physics 2023-11-09 Wei-Chen Guo , Bao-Quan Ai , Liang He

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…

Statistical Mechanics · Physics 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…

Statistical Mechanics · Physics 2025-02-19 Burak Çivitcioğlu , Rudolf A. Römer , Andreas Honecker

In this Letter, we present a new strategy for applying the learning machine to study phase transitions. We train the learning machine with samples only obtained at a non-critical parameter point, aiming to establish intrinsic correlations…

Statistical Mechanics · Physics 2019-01-04 Rongxing Xu , Weicheng Fu , Hong Zhao

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…

Disordered Systems and Neural Networks · Physics 2025-01-14 Djenabou Bayo , Burak Çivitcioğlu , Joseph J Webb , Andreas Honecker , Rudolf A. Römer

Most machine learning techniques are based upon statistical learning theory, often simplified for the sake of computing speed. This paper is focused on the uncertainty aspect of mathematical modeling in machine learning. Regression analysis…

Machine Learning · Computer Science 2022-06-07 Valentin Arkov

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.…

Strongly Correlated Electrons · Physics 2019-07-31 Askery Canabarro , Felipe Fernandes Fanchini , André Luiz Malvezzi , Rodrigo Pereira , Rafael Chaves

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…

Classifying phases of matter is a central problem in physics. For quantum mechanical systems, this task can be daunting owing to the exponentially large Hilbert space. Thanks to the available computing power and access to ever larger data…

Disordered Systems and Neural Networks · Physics 2017-02-16 Evert P. L. van Nieuwenburg , Ye-Hua Liu , Sebastian D. Huber

Machine learning has been successfully used to study phase transitions. One of the most popular approaches to identifying critical points from data without prior knowledge of the underlying phases is the learning-by-confusion scheme. As…

Machine Learning · Computer Science 2023-11-16 Julian Arnold , Frank Schäfer , Niels Lörch

Machine learning is attracting surging interest across nearly all scientific areas by enabling the analysis of large datasets and the extraction of scientific information from incomplete data. Data-driven science is rapidly growing,…

Applied Physics · Physics 2025-03-17 Sung Yun Lee , Do Hyung Cho , Chulho Jung , Daeho Sung , Daewoong Nam , Sangsoo Kim , Changyong Song

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…

Statistical Mechanics · Physics 2018-06-06 Philippe Suchsland , Stefan Wessel

We employ unsupervised machine learning techniques to learn latent parameters which best describe states of the two-dimensional Ising model and the three-dimensional XY model. These methods range from principal component analysis to…

Statistical Mechanics · Physics 2017-08-23 Sebastian Johann Wetzel

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…

Disordered Systems and Neural Networks · Physics 2020-09-15 Chao Fang , Amin Barzegar , Helmut G. Katzgraber

Machine learning techniques have been shown to be effective to recognize different phases of matter and produce phase diagrams in the parameter space interested, while they usually require prior labeled data to perform well. Here, we…

Neural networks can be used to identify phases and phase transitions in condensed matter systems via supervised machine learning. Readily programmable through modern software libraries, we show that a standard feed-forward neural network…

Strongly Correlated Electrons · Physics 2017-05-24 Juan Carrasquilla , Roger G. Melko

We investigate the efficient learning of magnetic phases using artificial neural networks trained on synthetic data, combining computational simplicity with physics-informed strategies. Focusing on the diluted Ising model, which lacks an…

Strongly Correlated Electrons · Physics 2026-04-29 Agustin Medina , Marcelo Arlego , Carlos A. Lamas

Recent years have witnessed a growing interest in using machine learning to predict and identify phase transitions in various systems. Here we adopt convolutional neural networks (CNNs) to study the phase transitions of Vicsek model,…

Biological Physics · Physics 2023-06-27 Tingting Xue , Xu Li , Xiaosong Chen , Li Chen , Zhangang Han

The classification of phases and the detection of phase transitions are central and challenging tasks in diverse fields. Within physics, it relies on the identification of order parameters and the analysis of singularities in the free…

The classification of quantum phases of matter remains a fundamental challenge in condensed matter physics. We present a novel framework that combines shadow tomography with modern time-series machine learning models to enable efficient and…

Quantum Physics · Physics 2025-08-08 Weicheng Ye , Shuwei Liu , Shiyu Zhou , Yijian Zou
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