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Machine learning techniques exhibit significant performance in discriminating different phases of matter and provide a new avenue for studying phase transitions. We investigate the phase transitions of three dimensional $q$-state Potts…

Computational Physics · Physics 2024-02-20 Xiangna Chen , Feiyi Liu , Weibing Deng , Shiyang Chen , Jianmin Shen , Gabor Papp , Wei Li , Chunbin Yang

The latest advances of statistical physics have shown remarkable performance of machine learning in identifying phase transitions. In this paper, we apply domain adversarial neural network (DANN) based on transfer learning to studying…

Statistical Mechanics · Physics 2022-07-04 Jianmin Shen , Feiyi Liu , Shiyang Chen , Dian Xu , Xiangna Chen , Shengfeng Deng , Wei Li , Gabor Papp , Chunbin Yang

The use of ML in engineering has grown steadily to support a wide array of applications. Among these methods, deep neural networks have been widely adopted due to their performance and accessibility, but they require large, high-quality…

Machine Learning · Computer Science 2025-10-31 Aidan Furlong , Robert Salko , Xingang Zhao , Xu Wu

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…

Disordered Systems and Neural Networks · Physics 2020-08-26 D. -R. Tan , C. -D. Li , W. -P. Zhu , F. -J. Jiang

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…

High Energy Physics - Lattice · Physics 2024-09-27 Yuan-Heng Tseng , Fu-Jiun Jiang

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…

The recent advances in deep transfer learning reveal that adversarial learning can be embedded into deep networks to learn more transferable features to reduce the distribution discrepancy between two domains. Existing adversarial domain…

Machine Learning · Computer Science 2019-09-19 Chaohui Yu , Jindong Wang , Yiqiang Chen , Meiyu Huang

Monte Carlo simulations are performed to study the two-dimensional Potts models with q=3 and 4 states on directed Small-World network. The disordered system is simulated applying the Heat bath Monte Carlo update algorithm. A first-order and…

Statistical Mechanics · Physics 2015-06-05 P. R. O. da Silva , F. W. S. Lima , R. N. Costa Filho

The identification of phases of matter is a challenging task, especially in quantum mechanics, where the complexity of the ground state appears to grow exponentially with the size of the system. We address this problem with state-of-the-art…

Statistical Mechanics · Physics 2018-04-18 Patrick Huembeli , Alexandre Dauphin , Peter Wittek

We propose an iterative proposal to estimate critical points for statistical models based on configurations by combing machine-learning tools. Firstly, phase scenarios and preliminary boundaries of phases are obtained by…

Disordered Systems and Neural Networks · Physics 2019-10-23 X. L. Zhao , L. B. Fu

We study the finite temperature (FT) phase transitions of two-dimensional (2D) $q$-states Potts models on the square lattice, using the first principles Monte Carlo (MC) simulations as well as the techniques of neural networks (NN). We…

Disordered Systems and Neural Networks · Physics 2018-04-04 Chian-De Li , Deng-Ruei Tan , Fu-Jiun Jiang

Thanks to digitization of industrial assets in fleets, the ambitious goal of transferring fault diagnosis models fromone machine to the other has raised great interest. Solving these domain adaptive transfer learning tasks has the potential…

Machine Learning · Statistics 2019-05-16 Qin Wang , Gabriel Michau , Olga Fink

A universal (supervised) neural network (NN), which is only trained once on a one-dimensional lattice of 200 sites, is employed to study the phase transition of the two-dimensional (2D) 5-state ferromagnetic Potts model on the square…

Statistical Mechanics · Physics 2021-11-30 Yuan-Heng Tseng , Yun-Hsuan Tseng , Fu-Jiun Jiang

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…

High Energy Physics - Lattice · Physics 2026-03-26 Shang-Wei Li , Kai-Wei Huang , Chien-Ting Chen , Fu-Jiun Jiang

Phase transitions induced by varying the strength of disorder in the large-q state Potts model in 3d are studied by analytical and numerical methods. By switching on the disorder the transition stays of first order, but different…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. T. Mercaldo , J-Ch. Anglès d'Auriac , F. Iglói

We study the phase transitions of three-dimensional (3D) classical O(3) model and the two-dimensional (2D) classical XY model, as well as both the quantum phase transitions of 2D and 3D dimerized spin-1/2 antiferromagnets, using the…

Disordered Systems and Neural Networks · Physics 2021-01-04 D. -R. Tan , F. -J. Jiang

We investigate the first-order phase transitions of the $q$-state Potts models with $q = 5, 6, 7$, and $8$ on the two-dimensional square lattice, using Monte Carlo simulations. At the very weakly first-order transition of the $q=5$ system,…

Statistical Mechanics · Physics 2019-03-05 Shumpei Iino , Satoshi Morita , Anders W. Sandvik , Naoki Kawashima

Digital twins offer a promising solution to the lack of sufficient labeled data in deep learning-based fault diagnosis by generating simulated data for model training. However, discrepancies between simulation and real-world systems can…

Machine Learning · Computer Science 2025-09-05 Zhenling Chen , Haiwei Fu , Zhiguo Zeng

Recently, machine learning algorithms have been used remarkably to study the equilibrium phase transitions, however there are only a few works have been done using this technique in the nonequilibrium phase transitions. In this work, we use…

Statistical Mechanics · Physics 2023-07-21 M. Ali Saif , Bassam M. Mughalles

Domain adaptation investigates the problem of cross-domain knowledge transfer where the labeled source domain and unlabeled target domain have distinctive data distributions. Recently, adversarial training have been successfully applied to…

Computer Vision and Pattern Recognition · Computer Science 2019-09-18 Jingjing Li , Erpeng Chen , Zhengming Ding , Lei Zhu , Ke Lu , Zi Huang
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