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A universal supervised neural network (NN) relevant to compute the associated criticalities of real experiments studying phase transitions is constructed. The validity of the built NN is examined by applying it to calculate the…

无序系统与神经网络 · 物理学 2021-03-22 D. -R. Tan , J. -H. Peng , Y. -H. Tseng , F. -J. Jiang

The phase transition of the two-dimensional $U(1)$ quantum link model on the triangular lattice is investigated by employing a supervised neural network (NN) consisting of only one input layer, one hidden layer of two neurons, and one…

高能物理 - 格点 · 物理学 2023-08-23 Jhao-Hong Peng , Yuan-Heng Tseng , Fu-Jiun Jiang

The wide application of machine learning (ML) techniques in statistics physics has presented new avenues for research in this field. In this paper, we introduce a semi-supervised learning method based on Siamese Neural Networks (SNN),…

计算物理 · 物理学 2025-08-18 Jianmin Shen , Shiyang Chen , Feiyi Liu , Wei Li , Youju Liu

The critical phenomena of the two-dimensional antiferromagnetic $q$-state Potts model on the square lattice with $q=2,3,4$ are investigated using the techniques of neural networks (NN). In particular, an unconventional supervised NN which…

高能物理 - 格点 · 物理学 2024-09-27 Yuan-Heng Tseng , Fu-Jiun Jiang

Exploration of the QCD phase diagram and critical point is one of the main goals in current relativistic heavy-ion collisions. The QCD critical point is expected to belong to a three-dimensional (3D) Ising universality class. Machine…

核理论 · 物理学 2023-02-02 Xiaobing Li , Ranran Guo , Yu Zhou , Kangning Liu , Jia Zhao , Fen Long , Yuanfang Wu , Zhiming Li

We study the phase transitions of the two-dimensional antiferromagnetic Ising model with nearest $J_1$ and next-to-nearest $J_2$ interactions on the triangular lattice for $J_2/J_1 = 0.1, 0.5$ and 1.0. The method of supervised neural…

高能物理 - 格点 · 物理学 2025-11-19 Shang-Wei Li , Yuan-Heng Tseng , Kai-Wei Huang , Fu-Jiun Jiang

The power of machine learning algorithms to automatically classify different phases of matter and detect quantum phase transitions without necessity to characterize phases by various quantities like local order parameters or topological…

强关联电子 · 物理学 2021-03-15 Tanja Duric

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.…

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,…

生物物理 · 物理学 2023-06-27 Tingting Xue , Xu Li , Xiaosong Chen , Li Chen , Zhangang Han

Using the techniques of Neural Networks (NN), we study the three-dimensional (3D) 5-state ferromagnetic Potts model on the cubic lattice as well as the two-dimensional (2D) 3-state antiferromagnetic Potts model on the square lattice. Unlike…

无序系统与神经网络 · 物理学 2020-08-26 D. -R. Tan , C. -D. Li , W. -P. Zhu , F. -J. Jiang

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…

统计力学 · 物理学 2019-01-04 Rongxing Xu , Weicheng Fu , Hong Zhao

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…

统计力学 · 物理学 2024-02-27 Jianmin Shen , Wei Li , Shengfeng Deng , Tao Zhang

The Domany Kinzel (DK) model encompasses several types of non-equilibrium phase transitions, depending on the selected parameters. We apply supervised, semi-supervised, and unsupervised learning methods to studying the phase transitions and…

计算物理 · 物理学 2023-11-02 Kui Tuo , Wei Li , Shengfeng Deng , Yueying Zhu

The area of Machine learning (ML) has seen exceptional growth in recent years. Successful implementation of ML methods in various branches of physics has led to new insights. These methods have been shown to classify phases in condensed…

统计力学 · 物理学 2021-05-25 Karthik Padavala , Avaneesh Singh , Joyjit Kundu

The critical phenomena of two-dimensional (2D) antiferromagnetic $q$-state Potts model on the square lattice with $q=2,3,4,5$ and 6 are investigated using the technique of supervised neural network (NN). Unlike the conventional NN…

高能物理 - 格点 · 物理学 2026-03-26 Shang-Wei Li , Kai-Wei Huang , Chien-Ting Chen , Fu-Jiun Jiang

An autoencoder (AE) and a generative adversarial networks (GANs) are trained only once on a one-dimensional (1D) lattice of 200 sites. Moreover, the AE contains only one hidden layer consisting of two neurons and both the generator and the…

无序系统与神经网络 · 物理学 2022-05-19 Y. -H. Yseng , F. -J. Jiang , C. -Y. Huang

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…

Machine learning algorithms provide a new perspective on the study of physical phenomena. In this paper, we explore the nature of quantum phase transitions using multi-color convolutional neural-network (CNN) in combination with quantum…

无序系统与神经网络 · 物理学 2019-03-27 Xiao-Yu Dong , Frank Pollmann , Xue-Feng Zhang

In this paper, we apply machine learning methods to study phase transitions in certain statistical mechanical models on the two dimensional lattices, whose transitions involve non-local or topological properties, including site and bond…

统计力学 · 物理学 2019-06-11 Wanzhou Zhang , Jiayu Liu , Tzu-Chieh Wei

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
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