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We demonstrate, by means of a convolutional neural network, that the features learned in the two-dimensional Ising model are sufficiently universal to predict the structure of symmetry-breaking phase transitions in considered systems…

Statistical Mechanics · Physics 2020-11-25 Dimitrios Bachtis , Gert Aarts , Biagio Lucini

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

Deep learning has taken part in the competition since not long ago to learn and identify phase transitions in physical systems such as many body quantum systems, whose underlying lattice structures are generally regular as they're in…

Physics and Society · Physics 2020-01-08 Qi Ni , Jie Kang , Ming Tang , Ying Liu , Yong Zou

Deep learning (DL) has had unprecedented success and is now entering scientific computing with full force. However, current DL methods typically suffer from instability, even when universal approximation properties guarantee the existence…

Machine Learning · Computer Science 2022-04-04 Matthew J. Colbrook , Vegard Antun , Anders C. Hansen

In this work we introduce a convolutional neural network (CNN) that jointly handles low-, mid-, and high-level vision tasks in a unified architecture that is trained end-to-end. Such a universal network can act like a `swiss knife' for…

Computer Vision and Pattern Recognition · Computer Science 2016-09-08 Iasonas Kokkinos

Predicting the output of quantum circuits is a hard computational task that plays a pivotal role in the development of universal quantum computers. Here we investigate the supervised learning of output expectation values of random quantum…

Quantum Physics · Physics 2023-05-01 S. Cantori , D. Vitali , S. Pilati

The applicability of artificial neural networks (ANNs) is typically limited to the models they are trained with and little is known about their generalizability, which is a pressing issue in the practical application of trained ANNs to…

Disordered Systems and Neural Networks · Physics 2022-08-09 Hon Man Yau , Nan Su

Novel computing hardwares are necessary to keep up with today's increasing demand for data storage and processing power. In this research project, we turn to the brain for inspiration to develop novel computing substrates that are…

Neurons and Cognition · Quantitative Biology 2019-07-05 Kristine Heiney , Vibeke Devold Valderhaug , Ioanna Sandvig , Axel Sandvig , Gunnar Tufte , Hugo Lewi Hammer , Stefano Nichele

Deep neural networks are a powerful tool for the characterization of quantum states. Existing networks are typically trained with experimental data gathered from the specific quantum state that needs to be characterized. But is it possible…

Quantum Physics · Physics 2022-10-21 Yan Zhu , Ya-Dong Wu , Ge Bai , Dong-Sheng Wang , Yuexuan Wang , Giulio Chiribella

Deep artificial neural networks are powerful tools with many possible applications in nanophotonics. Here, we demonstrate how a deep neural network can be used as a fast, general purpose predictor of the full near-field and far-field…

Computational Physics · Physics 2020-01-28 Peter R. Wiecha , Otto L. Muskens

In this paper, we diagnose deep neural networks for 3D point cloud processing to explore utilities of different intermediate-layer network architectures. We propose a number of hypotheses on the effects of specific intermediate-layer…

Computer Vision and Pattern Recognition · Computer Science 2021-04-02 Wen Shen , Zhihua Wei , Shikun Huang , Binbin Zhang , Panyue Chen , Ping Zhao , Quanshi Zhang

Modifications to a neural network's input and output layers are often required to accommodate the specificities of most practical learning tasks. However, the impact of such changes on architecture's approximation capabilities is largely…

Machine Learning · Computer Science 2020-11-10 Anastasis Kratsios , Eugene Bilokopytov

In the problem of composite hypothesis testing, identifying the potential uniformly most powerful (UMP) unbiased test is of great interest. Beyond typical hypothesis settings with exponential family, it is usually challenging to prove the…

Methodology · Statistics 2022-08-03 Tianyu Zhan , Jian Kang

Robustness of Deep Neural Networks (DNNs) is an important aspect to consider for their clinical applications. This work examined robustness issue for a DNN-based multi-class classification model via comprehensive experimental and simulation…

Medical Physics · Physics 2023-03-07 Yuting Peng , Chenyang Shen , Yesenia Gonzalez , Yin Gao , Xun Jia

Recent application of neural networks (NNs) to modeling interatomic interactions has shown the learning machines' encouragingly accurate performance for select elemental and multicomponent systems. In this study, we explore the possibility…

Materials Science · Physics 2017-02-08 Samad Hajinazar , Junping Shao , Aleksey N. Kolmogorov

We investigate the critical behavior of three-dimensional ferromagnetic CP(N-1) models, which are characterized by a global U(N) and a local U(1) symmetry. We perform numerical simulations of a lattice model for N=2, 3, and 4. For N=2 we…

Statistical Mechanics · Physics 2019-08-28 Andrea Pelissetto , Ettore Vicari

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 present a scalable framework for learning deterministic and probabilistic neural surrogates for high-resolution 3D physics simulations. We introduce a hybrid CNN-Transformer backbone architecture targeted for 3D physics simulations,…

Machine Learning · Computer Science 2025-10-09 Benjamin Holzschuh , Georg Kohl , Florian Redinger , Nils Thuerey

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

Neural Networks (NN) has been used in many areas with great success. When a NN's structure (Model) is given, during the training steps, the parameters of the model are determined using an appropriate criterion and an optimization algorithm…

Machine Learning · Computer Science 2024-08-15 Ali Mohammad-Djafari , Ning Chu , Li Wang , Caifang Cai , Liang Yu