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The performance of basis sets made of numerical atomic orbitals is explored in density-functional calculations of solids and molecules. With the aim of optimizing basis quality while maintaining strict localization of the orbitals, as…

Materials Science · Physics 2009-11-07 Javier Junquera , Oscar Paz , Daniel Sanchez-Portal , Emilio Artacho

Molecular recognition, which is essential in processing information in biological systems, takes place in a crowded noisy biochemical environment and requires the recognition of a specific target within a background of various similar…

Biomolecules · Quantitative Biology 2010-07-27 Yonatan Savir , Tsvi Tlusty

Molecular vibrations in solutions, especially OH stretching and bending in water, drive ultrafast energy relaxation and dephasing in chemical and biological systems. We present a machine learning approach for constructing system-bath models…

Chemical Physics · Physics 2026-03-18 Kwanghee Park , Ju-Yeon Jo , Yoshitaka Tanimura

In what has been described as the fourth age of Quantum Chemistry, variational nuclear motion programs are now routinely being used to obtain the vibration-rotation levels and corresponding wavefunctions of small molecules to the sort of…

Chemical Physics · Physics 2016-09-23 Jonathan Tennyson

A numerical simulation of vibrational excitation of molecules was devised, and used to excite computational models of common molecules into a prescribed, pure, normal vibration mode in the ground electronic state, with varying, controlable…

Astrophysics · Physics 2009-11-11 Renaud Papoular

Normalizing flows (NF) are a class of powerful generative models that have gained popularity in recent years due to their ability to model complex distributions with high flexibility and expressiveness. In this work, we introduce a new type…

Machine Learning · Computer Science 2023-06-08 Jonas Köhler , Michele Invernizzi , Pim de Haan , Frank Noé

Many components of data analysis in high energy physics and beyond require morphing one dataset into another. This is commonly solved via reweighting, but there are many advantages of preserving weights and shifting the data points instead.…

High Energy Physics - Phenomenology · Physics 2023-11-22 Tobias Golling , Samuel Klein , Radha Mastandrea , Benjamin Nachman , John Andrew Raine

A Normalizing Flow computes a bijective mapping from an arbitrary distribution to a predefined (e.g. normal) distribution. Such a flow can be used to address different tasks, e.g. anomaly detection, once such a mapping has been learned. In…

Quantum Physics · Physics 2024-07-23 Bodo Rosenhahn , Christoph Hirche

We present a machine-learning approach, based on normalizing flows, for modelling atomic solids. Our model transforms an analytically tractable base distribution into the target solid without requiring ground-truth samples for training. We…

Biomolecular thermodynamics and spectroscopy depend on relative conformer energies, local curvatures, and collective dipole fluctuations on the potential-energy surface. Conventional molecular mechanics force fields enable large-scale…

Variational methods have proven to be excellent tools to approximate ground states of complex many body Hamiltonians. Generic tools like neural networks are extremely powerful, but their parameters are not necessarily physically motivated.…

Strongly Correlated Electrons · Physics 2022-03-04 Agnes Valenti , Eliska Greplova , Netanel H. Lindner , Sebastian D. Huber

The transformation from angle-action variables to Cartesian coordinates is a crucial step of the (semi) classical description of bimolecular collisions and photo-fragmentations. The basic reason is that dynamical conditions corresponding to…

Chemical Physics · Physics 2009-03-25 M. L. González-Martínez , L. Bonnet , P. Larrégaray , J. -C. Rayez , J. Rubayo-Soneira

The authors present SHarmonic, a new implementation of the spherical harmonics targeted for electronic-structure calculations. Their approach is to use explicit formulas for the harmonics written in terms of normalized Cartesian…

Computational Physics · Physics 2025-10-08 Xavier Andrade , Jacopo Simoni , Yuan Ping , Tadashi Ogitsu , Alfredo A. Correa

Normalizing flows can transform a simple prior probability distribution into a more complex target distribution. Here, we evaluate the ability and efficiency of generative machine learning methods to sample the Boltzmann distribution of an…

Soft Condensed Matter · Physics 2024-09-16 Gerhard Jung , Giulio Biroli , Ludovic Berthier

Molecular rotation, vibration, internal rotation, isomerization, tunneling, intermolecular dynamics of weakly and strongly interacting systems, intra-to-inter-molecular energy transfer, hindered rotation and hindered translation over…

Chemical Physics · Physics 2022-12-02 Edit Mátyus , Alberto Martín Santa Daría , Gustavo Avila

A set of integral relations for rotational and translational zero modes in the vicinity of the soliton solution are derived from the particle-like properties of the latter and verified for a number of models (solitons in 1+1-dimensions,…

High Energy Physics - Theory · Physics 2007-05-23 A. Dubikovsky , K. Sveshnikov

We propose to interpret machine learning functions as physical observables, opening up the possibility to apply "standard" statistical-mechanical methods to outputs from neural networks. This includes histogram reweighting and finite-size…

High Energy Physics - Lattice · Physics 2021-09-20 Gert Aarts , Dimitrios Bachtis , Biagio Lucini

We describe a new approach based on semiclassical molecular dynamics that allows to simulate infrared absorption or emission spectra of molecular systems with inclusion of anharmonic intensities. This is achieved from semiclassical power…

Chemical Physics · Physics 2018-11-12 Marco Micciarelli , Riccardo Conte , Jaime Suarez , Michele Ceotto

The purpose of these notes is to provide an introduction to those who want to learn more about translating solitons for the mean curvature flow in $\mathbb{R}^3$, particularly those which are complete graphs over domains in $\mathbb{R}^2$.…

Differential Geometry · Mathematics 2021-12-21 David Hoffman , Tom Ilmanen , Francisco Martín , Brian White

We propose and theoretically analyze a novel approach to selectively excite molecular vibrational modes through structured fluid dynamics guided by generalized symmetry-based transformations of the Navier-Stokes equations. By encoding…

General Physics · Physics 2025-05-09 Andrei Tudor Patrascu