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We present an efficient computational approach to perform real-space electronic structure calculations using an adaptive higher-order finite-element discretization of Kohn-Sham density-functional theory (DFT). To this end, we develop an…

Computational Physics · Physics 2015-06-05 Phani Motamarri , Michael R Nowak , Kenneth Leiter , Jaroslaw Knap , Vikram Gavini

We introduce the first learning-based dense matching algorithm, termed Equirectangular Projection-Oriented Dense Kernelized Feature Matching (EDM), specifically designed for omnidirectional images. Equirectangular projection (ERP) images,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Dongki Jung , Jaehoon Choi , Yonghan Lee , Somi Jeong , Taejae Lee , Dinesh Manocha , Suyong Yeon

The potential energy formulation and deep learning are merged to solve partial differential equations governing the deformation in hyperelastic and viscoelastic materials. The presented deep energy method (DEM) is self-contained and…

Machine Learning · Computer Science 2022-05-05 Diab W. Abueidda , Seid Koric , Rashid Abu Al-Rub , Corey M. Parrott , Kai A. James , Nahil A. Sobh

The theorems of density functional theory (DFT) and reduced density matrix functional theory (RDMFT) establish a bijective map between the external potential of a many-body system and its electron density or one-particle reduced density…

Chemical Physics · Physics 2023-02-22 Xuecheng Shao , Lukas Paetow , Mark E. Tuckerman , Michele Pavanello

Water's phase diagram remains one of the most intricate and challenging benchmarks in molecular modeling. In this study, we compute the phase diagram of water using an Atomic Cluster Expansion (ACE) potential trained on density-functional…

Materials Science · Physics 2026-01-21 Eslam Ibrahim , Yury Lysogorskiy , Ralf Drautz , Pablo Piaggi

In this study, we propose to adopt a novel framework, Knowledge-integrated Machine Learning, for advancing Proton Exchange Membrane Water Electrolysis (PEMWE) development. Given the significance of PEMWE in green hydrogen production and the…

Machine Learning · Computer Science 2024-04-08 Xia Chen , Alexander Rex , Janis Woelke , Christoph Eckert , Boris Bensmann , Richard Hanke-Rauschenbach , Philipp Geyer

We present a matrix product state (MPS) method for including decoherence processes in calculations involving waveguide quantum electrodynamics (waveguide QED) using density matrices. The approach is based on collision quantum optics, where…

Quantum Physics · Physics 2026-04-21 Matias Bundgaard-Nielsen , Matthew Kozma , Sofia Arranz Regidor , Stephen Hughes

We develop a physics-informed learning framework for energy-shaping control of port-Hamiltonian (pH) systems from trajectory data. The proposed approach co-learns a pH system model and an optimal energy-balancing passivity-based controller…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Ankur Kamboj , Biswadip Dey , Vaibhav Srivastava

Machine learning advances chemistry and materials science by enabling large-scale exploration of chemical space based on quantum chemical calculations. While these models supply fast and accurate predictions of atomistic chemical…

Chemical Physics · Physics 2019-06-25 K. T. Schütt , M. Gastegger , A. Tkatchenko , K. -R. Müller , R. J. Maurer

Scanning Transmission Electron Microscopy (STEM) coupled with Electron Energy Loss Spectroscopy (EELS) presents a powerful platform for detailed material characterization via rich imaging and spectroscopic data. Modern electron microscopes…

Instrumentation and Detectors · Physics 2024-06-18 Utkarsh Pratiush , Austin Houston , Sergei V Kalinin , Gerd Duscher

We describe a rapidly converging algorithm for solving the Kohn--Sham equations and equations of similar structure that appear frequently in calculations of the structure of inhomogeneous electronic many--body systems. The algorithm has its…

Materials Science · Physics 2009-10-31 J. Auer , E. Krotscheck

An outstanding challenge in chemical computation is the many-electron problem where computational methodologies scale prohibitively with system size. The energy of any molecule can be expressed as a weighted sum of the energies of…

Chemical Physics · Physics 2023-01-03 LeeAnn M. Sager-Smith , David A. Mazziotti

We use density-matrix renormalization group, applied to a one-dimensional model of continuum Hamiltonians, to accurately solve chains of hydrogen atoms of various separations and numbers of atoms. We train and test a machine-learned…

Strongly Correlated Electrons · Physics 2016-12-28 Li Li , Thomas E. Baker , Steven R. White , Kieron Burke

A new electronic structure model is developed in which the ground state energy of a molecular system is given by a Hartree-Fock-like expression with parametrized one- and two-electron integrals over an extended (minimal + polarization) set…

Chemical Physics · Physics 2014-02-11 Dimitri N. Laikov

Embedded density functional theory (e-DFT) is used to describe the electronic structure of strongly interacting molecular subsystems. We present a general implementation of the Exact Embedding (EE) method [J. Chem. Phys. 133, 084103 (2010)]…

Other Condensed Matter · Physics 2011-07-27 Jason D. Goodpaster , Taylor A. Barnes , Thomas F. Miller

Groundwater in the Densu Basin is increasingly threatened by heavy metal contamination, but conventional methods fail to capture the statistical complexity and spatial heterogeneity of pollution indicators. A key challenge is modelling the…

Machine Learning · Computer Science 2026-05-04 T. Ansah-Narh , G. Y. Afrifa , J. B. Tandoh , K. Asare , M. Addi , K. E. Yorke , D. M. A. Akpoley , K. Aidoo , S. K. Fosuhene

In this work, we present Enhanced Representation-Based Sampling (ERBS), a novel enhanced sampling method designed to generate structurally diverse training datasets for machine-learned interatomic potentials. ERBS automatically identifies…

Chemical Physics · Physics 2026-01-23 Moritz René Schäfer , Johannes Kästner

In this work, the development and implementation of the effective stochastic potential (ESP) method is presented to perform efficient conformational sampling of molecules. The overarching goal of this work is to alleviate the computational…

Chemical Physics · Physics 2018-08-01 Jeremy A. Scher , Michael G. Bayne , Amogh Srihari , Shikha Nangia , Arindam Chakraborty

Cyber-physical systems (CPS), which integrate algorithmic control with physical processes, often consist of physically distributed components communicating over a network. A malfunctioning or compromised component in such a CPS can lead to…

Software Engineering · Computer Science 2016-11-08 Yuqi Chen , Christopher M. Poskitt , Jun Sun

Adiabatic mixed quantum/classical molecular dynamics simulations were used to generate snapshots of the hydrated electron (e-) in liquid water at 300 K. Water cluster anions that include two complete solvation shells centered on the e- were…

Data Analysis, Statistics and Probability · Physics 2016-09-28 Ilya A. Shkrob , William J. Glover , Ross E. Larsen , Benjamin J. Schwartz