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A fast method for the computation of layer potentials that arise in acoustic scattering is introduced. The principal idea is to split the singular kernel into a smooth and a local part. The potential due to the smooth part is computed…

Numerical Analysis · Mathematics 2007-05-23 Johannes Tausch

Large-scale atomistic simulations of materials heavily rely on interatomic potentials, which predict the system energy and atomic forces. One of the recent developments in the field is constructing interatomic potentials by machine-learning…

Materials Science · Physics 2022-02-09 Yi-Shen Lin , Ganga P. Purja Pun , Yuri Mishin

Two-dimensional electronic spectroscopy has become one of the main experimental tools for analyzing the dynamics of excitonic energy transfer in large molecular complexes. Simplified theoretical models are usually employed to extract model…

Chemical Physics · Physics 2019-01-17 Mirta Rodríguez , Tobias Kramer

We describe the development of machine-learned potentials of atmospheric gases with flexible monomers for molecular simulations. A recently suggested permutationally invariant polynomial neural network (PIP-NN) approach is utilized to…

Chemical Physics · Physics 2025-04-21 Artem Finenko

Many approaches, which have been developed to express the potential energy of large systems, exploit the locality of the atomic interactions. A prominent example are fragmentation methods, in which quantum chemical calculations are carried…

Chemical Physics · Physics 2021-03-25 Michael Gastegger , Clemens Kauffmann , Jörg Behler , Philipp Marquetand

We introduce segmental recurrent neural networks (SRNNs) which define, given an input sequence, a joint probability distribution over segmentations of the input and labelings of the segments. Representations of the input segments (i.e.,…

Computation and Language · Computer Science 2016-03-03 Lingpeng Kong , Chris Dyer , Noah A. Smith

A general new technique to solve the two-center problem with arbitrarily-orientated deformed realistic potentials is demonstrated, which is based on the powerful potential separable expansion method. As an example, molecular single-particle…

Nuclear Theory · Physics 2010-11-23 Alexis Diaz-Torres

Artificial neural network potentials (NNPs) have emerged as effective tools for understanding atomic interactions at the atomic scale in various phenomena. Recently, we developed highly transferable NNPs for {\alpha}-iron and…

Materials Science · Physics 2023-12-01 Shihao Zhang , Fanshun Meng , Rong Fu , Shigenobu Ogata

Spectroscopic properties of molecules holds great importance for the description of the molecular response under the effect of an UV/Vis electromagnetic radiation. Computationally expensive ab initio (e.g. MultiConfigurational SCF, Coupled…

We give a spectral algorithm for decomposing overcomplete order-4 tensors, so long as their components satisfy an algebraic non-degeneracy condition that holds for nearly all (all but an algebraic set of measure $0$) tensors over…

Machine Learning · Computer Science 2022-03-08 Samuel B. Hopkins , Tselil Schramm , Jonathan Shi

In this paper we derive novel families of inclusion sets for the spectrum and pseudospectrum of large classes of bounded linear operators, and establish convergence of particular sequences of these inclusion sets to the spectrum or…

Spectral Theory · Mathematics 2024-06-11 Simon N. Chandler-Wilde , Ratchanikorn Chonchaiya , Marko Lindner

We present a novel deep learning (DL) approach to produce highly accurate predictions of macroscopic physical properties of solid solution binary alloys and magnetic systems. The major idea is to make use of the correlations between…

Computational Physics · Physics 2021-01-29 Massimiliano Lupo Pasini , Ying Wai Li , Junqi Yin , Jiaxin Zhang , Kipton Barros , Markus Eisenbach

In recent years, several successful applications of the Artificial Neural Networks (ANNs) have emerged in nuclear physics and high-energy physics, as well as in biology, chemistry, meteorology, and other fields of science. A major goal of…

Understanding the interactions of a solute with its environment is of fundamental importance in chemistry and biology. In this work, we propose a deep neural network architecture for atom type embeddings in its molecular context and…

Machine Learning · Computer Science 2023-09-28 Sehan Lee , Jaechang Lim , Woo Youn Kim

Accurate structural analysis is essential to gain physical knowledge and understanding of atomic-scale processes in materials from atomistic simulations. However, traditional analysis methods often reach their limits when applied to…

Based on an analysis of the short range chemical environment of each atom in a system, standard machine learning based approaches to the construction of interatomic potentials aim at determining directly the central quantity which is the…

Materials Science · Physics 2015-08-05 S. Alireza Ghasemi , Albert Hofstetter , Santanu Saha , Stefan Goedecker

Neural networks (NNs) are employed to predict equations of state from a given isotropic pair potential using the virial expansion of the pressure. The NNs are trained with data from molecular dynamics simulations of monoatomic gases and…

Soft Condensed Matter · Physics 2024-06-19 Fabian Berressem , Arash Nikoubashman

The microscopic nucleus-nucleus optical potential is constructed basing on two patterns for real and imaginary parts, each calculated in the framework of microscopic models and multiplied by two normalizing factors, the free parameters,…

Nuclear Theory · Physics 2007-05-23 K. M. Hanna , K. V. Lukyanov , V. K. Lukyanov , B. Slowinski , E. V. Zemlyanaya

All-atom molecular simulations offer detailed insights into macromolecular phenomena, but their substantial computational cost hinders the exploration of complex biological processes. We introduce Advanced Machine-learning Atomic…

Biomolecules · Quantitative Biology 2024-11-12 Antonio Mirarchi , Raul P. Pelaez , Guillem Simeon , Gianni De Fabritiis

We present a simple, yet general, end-to-end deep neural network representation of the potential energy surface for atomic and molecular systems. This methodology, which we call Deep Potential, is "first-principle" based, in the sense that…

Computational Physics · Physics 2020-07-20 Jiequn Han , Linfeng Zhang , Roberto Car , Weinan E
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