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We identify configurational phases and structural transitions in a polymer nanotube composite by means of machine learning. We employ various unsupervised dimensionality reduction methods, conventional neural networks, as well as the…

Soft Condensed Matter · Physics 2022-04-06 Quinn Parker , Dilina Perera , Ying Wai Li , Thomas Vogel

We demonstrate the identification and classification of topological phase transitions from experimental data using Diffusion Maps: a nonlocal unsupervised machine learning method. We analyze experimental data from an optical system…

Optics · Physics 2021-04-09 Eran Lustig , Or Yair , Ronen Talmon , Mordechai Segev

We apply various unsupervised machine learning methods for phase classification to investigate the finite-temperature phase diagram of the spinless Falicov-Kimball model in two dimensions. Using only particle occupation snapshots from Monte…

Strongly Correlated Electrons · Physics 2025-05-27 Lukáš Frk , Pavel Baláž , Elguja Archemashvili , Martin Žonda

The study of topological bandstructures is an active area of research in condensed matter physics and beyond. Here, we combine recent progress in this field with developments in machine-learning, another rising topic of interest.…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 Mathias S. Scheurer , Robert-Jan Slager

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…

Quantum Gases · Physics 2022-10-12 Entong Zhao , Ting Hin Mak , Chengdong He , Zejian Ren , Ka Kwan Pak , Yu-Jun Liu , Gyu-Boong Jo

We demonstrate how to explore phase diagrams with automated and unsupervised machine learning to find regions of interest for possible new phases. In contrast to supervised learning, where data is classified using predetermined labels, we…

Quantum Physics · Physics 2021-03-19 Korbinian Kottmann , Patrick Huembeli , Maciej Lewenstein , Antonio Acin

The identification and classification of transitions in topological and microstructural regimes in pattern-forming processes are critical for understanding and fabricating microstructurally precise novel materials in many application…

Materials Science · Physics 2022-08-12 Marcin Abram , Keith Burghardt , Greg Ver Steeg , Aram Galstyan , Remi Dingreville

Determining the phase diagram of systems consisting of smaller subsystems 'connected' via a tunable coupling is a challenging task relevant for a variety of physical settings. A general question is whether new phases, not present in the…

Disordered Systems and Neural Networks · Physics 2020-09-29 W. Rzadkowski , N. Defenu , S. Chiacchiera , A. Trombettoni , G. Bighin

Classifying phase transitions is a fundamental and complex challenge in condensed matter physics. This work proposes a framework for identifying quantum phase transitions by combining classical shadows with unsupervised machine learning. We…

Unsupervised machine learning is a cornerstone of artificial intelligence as it provides algorithms capable of learning tasks, such as classification of data, without explicit human assistance. We present an unsupervised deep learning…

Disordered Systems and Neural Networks · Physics 2020-03-23 Oleksandr Balabanov , Mats Granath

For performing regression tasks involved in various physics problems, enhancing the precision or equivalently reducing the uncertainty of regression results is undoubtedly one of the central goals. Here, somewhat surprisingly, we find that…

Statistical Mechanics · Physics 2023-11-09 Wei-Chen Guo , Liang He

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…

Disordered Systems and Neural Networks · Physics 2021-07-21 Julian Arnold , Frank Schäfer , Martin Žonda , Axel U. J. Lode

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…

Topological invariants allow to characterize Hamiltonians, predicting the existence of topologically protected in-gap modes. Those invariants can be computed by tracing the evolution of the occupied wavefunctions under twisted boundary…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 D. Carvalho , N. A. Garcia-Martinez , J. L. Lado , J. Fernandez-Rossier

The integration of artificial intelligence (AI) into fundamental science has opened new possibilities to address long-standing scientific challenges rooted in mathematical limitations. For example, topological invariants are used to…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Yang Long , Haoran Xue , Baile Zhang

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

Machine Learning algorithms are good tools for both classification and prediction purposes. These algorithms can further be used for scientific discoveries from the enormous data being collected in our era. We present ways of discovering…

Instrumentation and Methods for Astrophysics · Physics 2021-02-26 Shraddha Surana , Yogesh Wadadekar , Divya Oberoi

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…

Computational Physics · Physics 2022-11-23 Zakaria Patel , Ejaaz Merali , Sebastian J. Wetzel

In unsupervised learning, the training data for deep learning does not come with any labels, thus forcing the algorithm to discover hidden patterns in the data for discerning useful information. This, in principle, could be a powerful tool…

Disordered Systems and Neural Networks · Physics 2025-12-17 Jacob Taylor , Haining Pan , Sankar Das Sarma

Neural network based machine learning is emerging as a powerful tool for obtaining phase diagrams when traditional regression schemes using local equilibrium order parameters are not available, as in many-body localized or topological…

Disordered Systems and Neural Networks · Physics 2018-06-27 Jordan Venderley , Vedika Khemani , Eun-Ah Kim