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The spontaneous symmetry breaking in the quantum sine-Gordon model is studied by a density matrix renormalization group. A phase diagram in the coupling constant - system size plane is obtained.

统计力学 · 物理学 2007-05-23 S. G. Chung

Recent advances in deep learning and Transformers have driven major breakthroughs in robotics by employing techniques such as imitation learning, reinforcement learning, and LLM-based multimodal perception and decision-making. However,…

The generative learning phase of Autoencoder (AE) and its successor Denosing Autoencoder (DAE) enhances the flexibility of data stream method in exploiting unlabelled samples. Nonetheless, the feasibility of DAE for data stream analytic…

机器学习 · 计算机科学 2018-09-25 Mahardhika Pratama , Andri Ashfahani , Yew Soon Ong , Savitha Ramasamy , Edwin Lughofer

With the development of deep learning techniques, the combination of deep learning with image compression has drawn lots of attention. Recently, learned image compression methods had exceeded their classical counterparts in terms of…

图像与视频处理 · 电气工程与系统科学 2022-08-03 Ze Cui , Jing Wang , Shangyin Gao , Bo Bai , Tiansheng Guo , Yihui Feng

As core thermal power generation equipment, steam turbines incur significant expenses and adverse effects on operation when facing interruptions like downtime, maintenance, and damage. Accurate anomaly detection is the prerequisite for…

机器学习 · 计算机科学 2024-11-19 Weiming Xu , Peng Zhang

We investigate deep learning autoencoders for the unsupervised recognition of phase transitions in physical systems formulated on a lattice. We focus our investigation on the 2-dimensional ferromagnetic Ising model and then test the…

We investigate equilibrium properties, including structure of the order parameter, superflow patterns, and thermodynamics of low-temperature surface phases of layered d_{x^2-y^2}-wave superconductors in magnetic field. At zero external…

超导电性 · 物理学 2018-06-18 P. Holmvall , A. B. Vorontsov , M. Fogelstrom , T. Lofwander

Recently, deep generative models have become increasingly popular in unsupervised anomaly detection. However, deep generative models aim at recovering the data distribution rather than detecting anomalies. Besides, deep generative models…

机器学习 · 计算机科学 2019-11-15 Xuhong Wang , Ying Du , Shijie Lin , Ping Cui , Yuntian Shen , Yupu Yang

Reliable fault detection is an essential requirement for safe and efficient operation of complex mechanical systems in various industrial applications. Despite the abundance of existing approaches and the maturity of the fault detection…

信号处理 · 电气工程与系统科学 2024-08-19 Tianfu Li , Chuang Sun , Ruqiang Yan , Xuefeng Chen

Physics-guided deep learning is an important prevalent research topic in scientific machine learning, which has tremendous potential in various complex applications including science and engineering. In these applications, data is expensive…

数值分析 · 数学 2024-11-11 Qingping Zhou , Guixian Xu , Zhexin Wen , Hongqiao Wang

Graph neural networks (GNNs) are commonly described as being permutation equivariant with respect to node relabeling in the graph. This symmetry of GNNs is often compared to the translation equivariance of Euclidean convolution neural…

机器学习 · 统计学 2023-11-20 Ningyuan Huang , Ron Levie , Soledad Villar

In this work, we initiate the study of Hamiltonian learning for positive temperature bosonic Gaussian states, the quantum generalization of the widely studied problem of learning Gaussian graphical models. We obtain efficient protocols,…

量子物理 · 物理学 2025-04-08 Marco Fanizza , Cambyse Rouzé , Daniel Stilck França

Neural network parameterizations exhibit inherent symmetries that yield multiple equivalent minima within the loss landscape. Scale Graph Metanetworks (ScaleGMNs) explicitly leverage these symmetries by proposing an architecture equivariant…

Incorporating Euclidean symmetries (e.g. rotation equivariance) as inductive biases into graph neural networks has improved their generalization ability and data efficiency in unbounded physical dynamics modeling. However, in various…

机器学习 · 计算机科学 2024-06-25 Zinan Zheng , Yang Liu , Jia Li , Jianhua Yao , Yu Rong

Spontaneous symmetry breaking in statistical mechanics primarily occurs during phase transitions at the thermodynamic limit where the Hamiltonian preserves inversion symmetry, yet the low-temperature free energy exhibits reduced symmetry.…

计算与语言 · 计算机科学 2026-03-02 Shalom Rosner , Ronit D. Gross , Ella Koresh , Ido Kanter

Euclidean deep learning is often inadequate for addressing real-world signals where the representation space is irregular and curved with complex topologies. Interpreting the geometric properties of such feature spaces has become paramount…

计算机视觉与模式识别 · 计算机科学 2024-09-12 Ramzan Basheer , Deepak Mishra

Estimating the Generalization Error (GE) of Deep Neural Networks (DNNs) is an important task that often relies on availability of held-out data. The ability to better predict GE based on a single training set may yield overarching DNN…

机器学习 · 计算机科学 2022-07-20 Angus Galloway , Anna Golubeva , Mahmoud Salem , Mihai Nica , Yani Ioannou , Graham W. Taylor

Due to the issue that existing wireless sensor network (WSN)-based anomaly detection methods only consider and analyze temporal features, in this paper, a self-supervised learning-based anomaly node detection method based on an autoencoder…

机器学习 · 计算机科学 2022-12-29 Miao Ye , Qinghao Zhang , Xingsi Xue , Yong Wang , Qiuxiang Jiang , Hongbing Qiu

In many real-world applications of regression, conditional probability estimation, and uncertainty quantification, exploiting symmetries rooted in physics or geometry can dramatically improve generalization and sample efficiency. While…

We propose excess Gibbs free energy graph neural networks (GE-GNNs) for predicting composition-dependent activity coefficients of binary mixtures. The GE-GNN architecture ensures thermodynamic consistency by predicting the molar excess…

无序系统与神经网络 · 物理学 2024-11-05 Jan G. Rittig , Alexander Mitsos