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Concise, accurate descriptions of physical systems through their conserved quantities abound in the natural sciences. In data science, however, current research often focuses on regression problems, without routinely incorporating…

Computational Physics · Physics 2020-02-05 Tom Bertalan , Felix Dietrich , Igor Mezić , Ioannis G. Kevrekidis

Urban transportation systems face increasing resilience challenges from extreme weather events, but current assessment methods rely on surface-level recovery indicators that miss hidden structural damage. Existing approaches cannot…

Machine Learning · Computer Science 2025-12-04 Xuhui Lin , Qiuchen Lu

This paper investigates energy guidance in generative modeling, where the target distribution is defined as $q(\mathbf x) \propto p(\mathbf x)\exp(-\beta \mathcal E(\mathbf x))$, with $p(\mathbf x)$ being the data distribution and $\mathcal…

Machine Learning · Computer Science 2025-03-10 Shiyuan Zhang , Weitong Zhang , Quanquan Gu

The first-principles-based effective Hamiltonian scheme provides one of the most accurate modeling technique for large-scale structures, especially for ferroelectrics. However, the parameterization of the effective Hamiltonian is…

The Hessian matrix (second derivatives) encodes far richer local curvature of the potential energy surface than energies and forces alone. However, training machine-learning interatomic potentials (MLIPs) with full Hessians is often…

Machine Learning algorithms based on Brain-inspired Hyperdimensional(HD) computing imitate cognition by exploiting statistical properties of high-dimensional vector spaces. It is a promising solution for achieving high energy efficiency in…

Machine Learning · Computer Science 2022-10-12 Samuel Bosch , Alexander Sanchez de la Cerda , Mohsen Imani , Tajana Simunic Rosing , Giovanni De Micheli

We introduce HAML (Hamiltonian Adaptation via Meta-Learning), a framework for fast online adaptation of effective Hamiltonian models of superconducting quantum processors. HAML proceeds in two phases. A supervised training phase uses an…

Quantum Physics · Physics 2026-04-29 Arielle Sanford , Andrew T. Kamen , Frederic T. Chong , Andy J. Goldschmidt

Hohenberg and Kohn have proven that the electronic energy and the one-particle electron density can, in principle, be obtained by minimizing an energy functional with respect to the density. While decades of theoretical work have produced…

Determining the Hamiltonian of a quantum system is essential for understanding its dynamics and validating its behavior. Hamiltonian learning provides a data-driven approach to reconstruct the generator of the dynamics from measurements on…

This paper reviews the most notable works applying machine learning techniques (ML) in the context of geophysics and corresponding subbranches. We showcase both the progress achieved to date as well as the important future directions for…

Machine Learning · Computer Science 2021-02-08 Miroslav Kosanic , Veljko Milutinovic

A modelling framework based on the resolvent analysis and machine learning is proposed to predict the turbulent energy in incompressible channel flows. In the framework, the optimal resolvent response modes are selected as the basis…

Fluid Dynamics · Physics 2024-03-11 Yitong Fan , Bo Chen , Weipeng Li

Quantum-mechanically accurate reactive molecular dynamics (MD) at the scale of billions of atoms has been achieved for the heterogeneous catalytic system of H$_2$/Pt(111) using the FLARE Bayesian force field. This achievement provides…

Computational Physics · Physics 2022-05-05 Anders Johansson , Yu Xie , Cameron J. Owen , Jin Soo Lim , Lixin Sun , Jonathan Vandermause , Boris Kozinsky

The complex nature of real-world problems calls for heterogeneity in both machine learning (ML) models and hardware systems. The heterogeneity in ML models comes from multi-sensor perceiving and multi-task learning, i.e., multi-modality…

Machine Learning · Computer Science 2022-05-02 Xinyi Zhang , Cong Hao , Peipei Zhou , Alex Jones , Jingtong Hu

Recently developed machine learning techniques, in association with the Internet of Things (IoT) allow for the implementation of a method of increasing oil production from heavy-oil wells. Steam flood injection, a widely used enhanced oil…

Machine Learning · Statistics 2019-09-02 Mi Yan , Jonathan C. MacDonald , Chris T. Reaume , Wesley Cobb , Tamas Toth , Sarah S. Karthigan

Time-series prediction is increasingly popular in a variety of applications, such as smart factories and smart transportation. Researchers have used various techniques to predict power consumption, but existing models lack discussion of…

Machine Learning · Computer Science 2025-01-22 Jia-Hao Syu , Jerry Chun-Wei Lin , Gautam Srivastava , Unil Yun

Beginning from a basic neural-network architecture, we test the potential benefits offered by a range of advanced techniques for machine learning, in particular deep learning, in the context of a typical classification problem encountered…

Data Analysis, Statistics and Probability · Physics 2020-06-03 Giles Chatham Strong

We present a machine learning (ML) framework that predicts $G_0W_0$ quasiparticle energies across molecular dynamics (MD) trajectories with high accuracy and efficiency. Using only DFT-derived mean-field eigenvalues and exchange-correlation…

Materials Science · Physics 2025-05-06 Ragab. A. Abdelghany , Chih-En Hsu , Hung-Chung Hsueh , Yuan-Hong Tsai , Ming-Chiang Chung

Free energies govern the behavior of soft and liquid matter, and improving their predictions could have a large impact on the development of drugs, electrolytes or homogeneous catalysts. Unfortunately, it is challenging to devise an…

Chemical Physics · Physics 2021-04-14 Jan Weinreich , Nicholas J. Browning , O. Anatole von Lilienfeld

Hamiltonian structure is pursued and uncovered in collisional and collisionless gyrokinetic theory. A new Hamiltonian formulation of collisionless electromagnetic theory is presented that is ideally suited to implementation on modern…

Mathematical Physics · Physics 2015-09-16 J. W. Burby

We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is based on two key ideas: the integration during the time-steps of…

Numerical Analysis · Mathematics 2020-08-14 Frédéric Marazzato , Alexandre Ern , Christian Mariotti , Laurent Monasse
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