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Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

We demonstrate the utility of an unsupervised machine learning tool for the detection of phase transitions in off-lattice systems. We focus on the application of principal component analysis (PCA) to detect the freezing transitions of…

Computational Physics · Physics 2018-12-07 R. B. Jadrich , B. A. Lindquist , T. M. Truskett

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…

Statistical Mechanics · Physics 2023-11-09 Wei-Chen Guo , Liang He

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

We propose a systematic methodology to identify the topological phase transition through a self-supervised machine learning model, which is trained to correlate system parameters to the non-local observables in time-of-flight experiments of…

Quantum Gases · Physics 2021-09-01 Chi-Ting Ho , Daw-Wei Wang

Semisupervised learning is a learning standard which deals with the study of how computers and natural systems such as human beings acquire knowledge in the presence of both labeled and unlabeled data. Semisupervised learning based methods…

Machine Learning · Computer Science 2014-02-20 V. Jothi Prakash , Dr. L. M. Nithya

Classification of quantum phases is one of the most important areas of research in condensed matter physics. In this work, we obtain the phase diagram of one-dimensional quasiperiodic models via unsupervised learning. Firstly, we choose two…

Disordered Systems and Neural Networks · Physics 2024-10-22 Bohan Zheng , Siyu Zhu , Xingping Zhou , Tong Liu

We employ deep learning techniques to investigate the critical properties of the continuous phase transition in the majority vote model. In addition to deep learning, principal component analysis is utilized to analyze the transition. For…

We apply various unsupervised machine learning methods for phase classification to investigate the finite-temperature phase diagram of the spinless Falicov-Kimball model in two dimensions. Using only particle occupation snapshots from Monte…

Strongly Correlated Electrons · Physics 2025-05-27 Lukáš Frk , Pavel Baláž , Elguja Archemashvili , Martin Žonda

Machine learning is a field which studies how machines can alter and adapt their behavior, improving their actions according to the information they are given. This field is subdivided into multiple areas, among which the best known are…

Machine Learning · Computer Science 2018-12-06 David Charte , Francisco Charte , Salvador García , Francisco Herrera

We investigate theoretically the phase transition in three dimensional cubic Ising model utilizing state-of-the-art machine learning algorithms. Supervised machine learning models show high accuracies (~99\%) in phase classification and…

Disordered Systems and Neural Networks · Physics 2019-03-21 Rui Zhang , Bin Wei , Dong Zhang , Jia-Ji Zhu , Kai Chang

Unsupervised machine learning, and in particular data clustering, is a powerful approach for the analysis of datasets and identification of characteristic features occurring throughout a dataset. It is gaining popularity across scientific…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 Maria El Abbassi , Jan Overbeck , Oliver Braun , Michel Calame , Herre S. J. van der Zant , Mickael L. Perrin

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

Unsupervised learning from visual data is one of the most difficult challenges in computer vision, being a fundamental task for understanding how visual recognition works. From a practical point of view, learning from unsupervised visual…

Computer Vision and Pattern Recognition · Computer Science 2017-04-03 Ioana Croitoru , Simion-Vlad Bogolin , Marius Leordeanu

Semi-supervised learning, which has emerged from the beginning of this century, is a new type of learning method between traditional supervised learning and unsupervised learning. The main idea of semi-supervised learning is to introduce…

Machine Learning · Computer Science 2019-05-29 Enmei Tu , Jie Yang

In this paper with study phase transitions of the $q$-state Potts model, through a number of unsupervised machine learning techniques, namely Principal Component Analysis (PCA), $k$-means clustering, Uniform Manifold Approximation and…

We apply unsupervised machine learning techniques, mainly principal component analysis (PCA), to compare and contrast the phase behavior and phase transitions in several classical spin models - the square and triangular-lattice Ising…

Statistical Mechanics · Physics 2017-06-23 Wenjian Hu , Rajiv R. P. Singh , Richard T. Scalettar

Machine learning (ML) has been well applied to studying equilibrium phase transition models, by accurately predicating critical thresholds and some critical exponents. Difficulty will be raised, however, for integrating ML into…

Statistical Mechanics · Physics 2024-02-27 Jianmin Shen , Wei Li , Shengfeng Deng , Tao Zhang

Learning with complete or partial supervision is powerful but relies on ever-growing human annotation efforts. As a way to mitigate this serious problem, as well as to serve specific applications, unsupervised learning has emerged as an…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Huy V. Vo , Francis Bach , Minsu Cho , Kai Han , Yann LeCun , Patrick Perez , Jean Ponce

Unsupervised machine learning is widely used to mine large, unlabeled datasets to make data-driven discoveries in critical domains such as climate science, biomedicine, astronomy, chemistry, and more. However, despite its widespread…

Machine Learning · Computer Science 2025-06-06 Andersen Chang , Tiffany M. Tang , Tarek M. Zikry , Genevera I. Allen