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We present a new algorithm, named Autonomous Gaussian Decomposition (AGD), for automatically decomposing spectra into Gaussian components. AGD uses derivative spectroscopy and machine learning to provide optimized guesses for the number of…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Robert R. Lindner , Carlos Vera-Ciro , Claire E. Murray , Snežana Stanimirović , Brian L. Babler , Carl Heiles , Patrick Hennebelle , W. M. Goss , John Dickey

Incorporating group symmetry directly into the learning process has proved to be an effective guideline for model design. By producing features that are guaranteed to transform covariantly to the group actions on the inputs,…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Liyao Gao , Guang Lin , Wei Zhu

Graph Neural Networks (GNNs) have deeply modified the landscape of numerical simulations by demonstrating strong capabilities in approximating solutions of physical systems. However, their ability to extrapolate beyond their training domain…

Machine Learning · Computer Science 2025-08-27 Paul Garnier , Jonathan Viquerat , Elie Hachem

The spontaneous breaking of a global discrete translational symmetry in the finite, lattice quantum sine-Gordon model is demonstrated by a density matrix renormalization group. A phase diagram in the coupling constant - inverse system size…

Statistical Mechanics · Physics 2009-10-31 S. G. Chung

Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably,…

Quantum Physics · Physics 2025-06-30 Jia-Bao Wang , Zi-Hao Dong , Yi Zhang

Unsupervised skill discovery aims to acquire behavior primitives that improve exploration and accelerate downstream task learning. However, existing approaches often ignore the geometric symmetries of physical environments, leading to…

Robotics · Computer Science 2026-01-21 Junwoo Chang , Joseph Park , Roberto Horowitz , Jongmin Lee , Jongeun Choi

The accurate prediction of changes in protein stability under multiple amino acid substitutions is essential for realising true in-silico protein re-design. To this purpose, we propose improvements to state-of-the-art Deep learning (DL)…

Biomolecules · Quantitative Biology 2023-06-01 Sebastien Boyer , Sam Money-Kyrle , Oliver Bent

Certain patterns of symmetry fractionalization in (2+1)D topologically ordered phases of matter can be anomalous, which means that they possess an obstruction to being realized in purely (2+1)D. In this paper we demonstrate how to compute…

Strongly Correlated Electrons · Physics 2020-10-08 Daniel Bulmash , Maissam Barkeshli

We present an algorithm to learn the relevant latent variables of a large-scale discretized physical system and predict its time evolution using thermodynamically-consistent deep neural networks. Our method relies on sparse autoencoders,…

Computational Engineering, Finance, and Science · Computer Science 2021-03-25 Quercus Hernandez , Alberto Badias , David Gonzalez , Francisco Chinesta , Elias Cueto

Existing symmetry discovery methods predominantly focus on global transformations across the entire system or space, but they fail to consider the symmetries in local neighborhoods. This may result in the reported symmetry group being a…

Machine Learning · Computer Science 2025-06-16 Manu Bhat , Jonghyun Park , Jianke Yang , Nima Dehmamy , Robin Walters , Rose Yu

We present a novel approach to anomaly detection by integrating Generalized Hyperbolic (GH) processes into kernel-based methods. The GH distribution, known for its flexibility in modeling skewness, heavy tails, and kurtosis, helps to…

Machine Learning · Computer Science 2025-01-28 Pauline Bourigault , Danilo P. Mandic

Recent advances in scanning tunneling and transmission electron microscopies (STM and STEM) have allowed routine generation of large volumes of imaging data containing information on the structure and functionality of materials. The…

Disordered Systems and Neural Networks · Physics 2021-06-24 Maxim Ziatdinov , Chun Yin Wong , Sergei V. Kalinin

We demonstrate the application of machine learning for rapid and accurate extraction of plasmonic particles cluster geometries from hyperspectral image data via a dual variational autoencoder (dual-VAE). In this approach, the information is…

Disordered Systems and Neural Networks · Physics 2022-08-09 Muammer Y. Yaman , Sergei V. Kalinin , Kathryn N. Guye , David Ginger , Maxim Ziatdinov

Discrete latent bottlenecks in variational autoencoders (VAEs) offer high bit efficiency and can be modeled with autoregressive discrete distributions, enabling parameter-efficient multimodal search with transformers. However, discrete…

Machine Learning · Computer Science 2026-02-12 Michael Drolet , Firas Al-Hafez , Aditya Bhatt , Jan Peters , Oleg Arenz

Parallelization framework has become a necessity to speed up the training of deep neural networks (DNN) recently. Such framework typically employs the Model Average approach, denoted as MA-DNN, in which parallel workers conduct respective…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-19 Shizhao Sun , Wei Chen , Jiang Bian , Xiaoguang Liu , Tie-Yan Liu

In this paper, we suppose a possible extension of Gibbs ensemble theory so that it can provide a reasonable description to phase transitions and spontaneous symmetry breaking. The extension is founded on three hypotheses, and can be…

Statistical Mechanics · Physics 2008-11-26 Ming-wen Xiao

Local gauge symmetry underlies fundamental interactions and strongly correlated quantum matter, yet existing machine-learning approaches lack a general, principled framework for learning under site-dependent symmetries, particularly for…

Strongly Correlated Electrons · Physics 2026-04-23 Ali Rayat , Yaohang Li , Gia-Wei Chern

Exploiting symmetry inherent in data can significantly improve the sample efficiency of a learning procedure and the generalization of learned models. When data clearly reveals underlying symmetry, leveraging this symmetry can naturally…

Machine Learning · Computer Science 2024-12-20 Gyeonghoon Ko , Hyunsu Kim , Juho Lee

Complex systems manifest a small number of instabilities and bifurcations that are canonical in nature, resulting in universal pattern forming characteristics as a function of some parametric dependence. Such parametric instabilities are…

Machine Learning · Computer Science 2021-06-10 Manu Kalia , Steven L. Brunton , Hil G. E. Meijer , Christoph Brune , J. Nathan Kutz

We present a physical interpretation of machine learning functions, opening up the possibility to control properties of statistical systems via the inclusion of these functions in Hamiltonians. In particular, we include the predictive…

High Energy Physics - Lattice · Physics 2021-02-17 Dimitrios Bachtis , Gert Aarts , Biagio Lucini
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