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Fully automated classification methods that yield direct physical insights into phase diagrams are of current interest. Here, we demonstrate an unsupervised machine learning method for phase classification which is rendered interpretable…

无序系统与神经网络 · 物理学 2021-07-21 Julian Arnold , Frank Schäfer , Martin Žonda , Axel U. J. Lode

Machine learning has recently emerged as a promising approach for studying complex phenomena characterized by rich datasets. In particular, data-centric approaches lend to the possibility of automatically discovering structures in…

Quantum particles co-propagating on disordered lattices develop complex non-classical correlations due to an interplay between quantum statistics, inter-particle interactions, and disorder. Here we present a deep learning algorithm based on…

量子物理 · 物理学 2022-02-01 Miri Kenig , Yoav Lahini

In this paper we propose a novel machine-learning method for anomaly detection applicable to data with periodic characteristics where randomly varying period lengths are explicitly allowed. A multi-dimensional time series analysis is…

信号处理 · 电气工程与系统科学 2019-05-22 Lia Ahrens , Julian Ahrens , Hans D. Schotten

The vast complexity is a daunting property of generic quantum states that poses a significant challenge for theoretical treatment, especially in non-equilibrium setups. Therefore, it is vital to recognize states which are locally less…

量子物理 · 物理学 2022-07-28 Markus Schmitt , Zala Lenarčič

Unsupervised embedding learning aims to extract good representation from data without the need for any manual labels, which has been a critical challenge in many supervised learning tasks. This paper proposes a new unsupervised embedding…

机器学习 · 计算机科学 2020-02-28 Sungwon Han , Yizhan Xu , Sungwon Park , Meeyoung Cha , Cheng-Te Li

We demonstrate how to map out the phase diagram of a two dimensional quantum many body system with no prior physical knowledge by applying deep \textit{anomaly detection} to ground states from infinite projected entangled pair state…

量子物理 · 物理学 2021-08-13 Korbinian Kottmann , Philippe Corboz , Maciej Lewenstein , Antonio Acín

We apply a recently developed unsupervised machine learning scheme for local atomic environments to characterize large-scale, disordered aggregates formed by sequence-defined macromolecules. This method provides new insight into the…

软凝聚态物质 · 物理学 2023-01-03 Antonia Statt , Devon C. Kleeblatt , Wesley F. Reinhart

We introduce an unsupervised machine learning method based on Siamese Neural Networks (SNN) to detect phase boundaries. This method is applied to Monte-Carlo simulations of Ising-type systems and Rydberg atom arrays. In both cases the SNN…

计算物理 · 物理学 2022-11-23 Zakaria Patel , Ejaaz Merali , Sebastian J. Wetzel

Many important classification problems, such as object classification, speech recognition, and machine translation, have been tackled by the supervised learning paradigm in the past, where training corpora of parallel input-output pairs are…

机器学习 · 计算机科学 2019-06-10 Yu Liu , Li Deng , Jianshu Chen , Chang Wen Chen

We introduce a new approach to probabilistic unsupervised learning based on the recognition-parametrised model (RPM): a normalised semi-parametric hypothesis class for joint distributions over observed and latent variables. Under the key…

机器学习 · 计算机科学 2023-04-21 William I. Walker , Hugo Soulat , Changmin Yu , Maneesh Sahani

Unsupervised learning methods have recently shown their competitiveness against supervised training. Typically, these methods use a single objective to train the entire network. But one distinct advantage of unsupervised over supervised…

计算机视觉与模式识别 · 计算机科学 2021-06-14 Zefan Li , Chenxi Liu , Alan Yuille , Bingbing Ni , Wenjun Zhang , Wen Gao

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…

量子气体 · 物理学 2021-09-01 Chi-Ting Ho , Daw-Wei Wang

We present an analysis of neural network-based machine learning schemes for phases and phase transitions in theoretical condensed matter research, focusing on neural networks with a single hidden layer. Such shallow neural networks were…

统计力学 · 物理学 2018-06-06 Philippe Suchsland , Stefan Wessel

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…

无序系统与神经网络 · 物理学 2021-01-04 D. -R. Tan , F. -J. Jiang

We develop a supervised machine learning algorithm that is able to learn topological phases of finite condensed matter systems from bulk data in real lattice space. The algorithm employs diagonalization in real space together with any…

介观与纳米尺度物理 · 物理学 2020-09-02 N. L. Holanda , M. A. R. Griffith

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

Although classifying topological quantum phases have attracted great interests, the absence of local order parameter generically makes it challenging to detect a topological phase transition from experimental data. Recent advances in…

量子气体 · 物理学 2022-10-12 Entong Zhao , Ting Hin Mak , Chengdong He , Zejian Ren , Ka Kwan Pak , Yu-Jun Liu , Gyu-Boong Jo

Using numerical data coming from Monte Carlo simulations of four-dimensional Causal Dynamical Triangulations, we study how automated machine learning algorithms can be used to recognize transitions between different phases of quantum…

高能物理 - 格点 · 物理学 2026-05-26 Jan Ambjorn , Zbigniew Drogosz , Jakub Gizbert-Studnicki , Andrzej Görlich , Dániel Németh , Marcus Reitz

We study the identification of quantum phases of matter, at zero temperature, when only part of the phase diagram is known in advance. Following a supervised learning approach, we show how to use our previous knowledge to construct an…

量子物理 · 物理学 2024-09-10 Mehran Khosrojerdi , Jason L. Pereira , Alessandro Cuccoli , Leonardo Banchi