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We propose a method, based on a Generalized Heisenberg Algebra (GHA), to reproduce the anharmonic spectrum of diatomic molecules. The theoretical spectrum generated by GHA allows us to fit the experimental data and to obtain the…

Chemical Physics · Physics 2009-11-11 J. de Souza , N. M. Oliveira-Neto , C. I. Ribeiro-Silva

The predictive accuracy of Machine Learning (ML) models of molecular properties depends on the choice of the molecular representation. Based on the postulates of quantum mechanics, we introduce a hierarchy of representations which meet…

Chemical Physics · Physics 2016-11-23 Bing Huang , O. Anatole von Lilienfeld

While machine learning (ML) models have been able to achieve unprecedented accuracies across various prediction tasks in quantum chemistry, it is now apparent that accuracy on a test set alone is not a guarantee for robust chemical modeling…

We introduce Mosaic, a probabilistic weather forecasting model that addresses three failure modes of spectral degradation in ML-based weather prediction: spectral damping (statistical), high-frequency aliasing (architectural), and residual…

Machine Learning · Computer Science 2026-05-19 Maksim Zhdanov , Ana Lucic , Max Welling , Jan-Willem van de Meent

Machine learning has emerged as an invaluable tool in many research areas. In the present work, we harness this power to predict highly accurate molecular infrared spectra with unprecedented computational efficiency. To account for…

Chemical Physics · Physics 2021-03-16 Michael Gastegger , Jörg Behler , Philipp Marquetand

We use a convolutional neural network to retrieve the internuclear distance in the two-dimensional H$_2^{+}$ molecule ionized by a strong few-cycle laser pulse based on the photoelectron momentum distribution. We show that a neural network…

Atomic Physics · Physics 2022-02-16 N. I. Shvetsov-Shilovski , M. Lein

We consider the problem of analyzing the structure of spectroscopic cubes using unsupervised machine learning techniques. We propose representing the target's signal as a homogeneous set of volumes through an iterative algorithm that…

Instrumentation and Methods for Astrophysics · Physics 2018-06-15 Mauricio Araya , Marcelo Mendoza , Mauricio Solar , Diego Mardones , Amelia Bayo

Machine-learning models in chemistry - when based on descriptors of atoms embedded within molecules - face essential challenges in transferring the quality of predictions of local electronic structures and their associated properties across…

Chemical Physics · Physics 2024-09-27 Frederik Ø. Kjeldal , Janus J. Eriksen

Molecular dynamic simulations are important in computational physics, chemistry, material, and biology. Machine learning-based methods have shown strong abilities in predicting molecular energy and properties and are much faster than DFT…

Molecular Networks · Quantitative Biology 2023-02-03 Zheng Yuan , Yaoyun Zhang , Chuanqi Tan , Wei Wang , Fei Huang , Songfang Huang

We present a first-principles machine-learning computational framework to investigate anharmonic effects in polarization-orientation (PO) Raman spectra of molecular crystals, focusing on anthracene and naphthalene. By combining machine…

Materials Science · Physics 2026-01-15 Paolo Lazzaroni , Shubham Sharma , Mariana Rossi

We present a machine learning (ML) method for predicting electronic structure correlation energies using Hartree-Fock input.The total correlation energy is expressed in terms of individual and pair contributions from occupied molecular…

Chemical Physics · Physics 2018-10-16 Matthew Welborn , Lixue Cheng , Thomas F. Miller

Astrophysical molecular spectroscopy is an important means of searching for new physics through probing the variation of the proton-to-electron mass ratio, $\mu$. New molecular probes could provide tighter constraints on the variation of…

Atomic Physics · Physics 2020-08-26 Anna-Maree Syme , Laura K. McKemmish

We present a formula for the spectroscopically accessible level shifts and decay rates of an atom moving at an arbitrary angle relative to a surface. Our Markov formulation leads to an intuitive analytic description whereby the shifts and…

Quantum Physics · Physics 2016-12-07 Juliane Klatt , Robert Bennett , Stefan Yoshi Buhmann

We present a simple method for determination of absolute vibrational numbering of isolated near dissociation levels in diatomic molecules, usually observed in cold physics experiments. The method is based on the isotope shift and works even…

Chemical Physics · Physics 2020-02-19 Asen Pashov , Pawel Kowalczyk , Wlodzimierz Jastrzebski

Atomic basis sets are widely employed within quantum mechanics based simulations of matter. We introduce a machine learning model that adapts the basis set to the local chemical environment of each atom, prior to the start of self…

Chemical Physics · Physics 2024-04-29 Danish Khan , Maximilian L. Ach , O. Anatole von Lilienfeld

Atomic displacement parameters (ADPs) are crystallographic information that describe the statistical distribution of atoms around an atom site. Anisotropic ADPs by atom were directly derived from classical molecular dynamics (MD)…

Materials Science · Physics 2025-05-26 Yoyo Hinuma

Partition functions and dissociation equilibrium constants are presented for 291 diatomic molecules for temperatures in the range from near absolute zero to 10000 K, thus providing data for many diatomic molecules of astrophysical interest…

Instrumentation and Methods for Astrophysics · Physics 2016-03-23 Paul S. Barklem , Remo Collet

This chapter discusses the importance of incorporating three-dimensional symmetries in the context of statistical learning models geared towards the interpolation of the tensorial properties of atomic-scale structures. We focus on Gaussian…

Chemical Physics · Physics 2019-04-04 Andrea Grisafi , David M. Wilkins , Michael J. Willatt , Michele Ceriotti

Atomic force microscopy (AFM) is a key tool for characterising nanoscale structures, with functionalised tips now offering detailed images of the atomic structure. In parallel, AFM simulations using the particle probe model provide a…

Materials Science · Physics 2025-09-03 Jie Huang , Niko Oinonen , Fabio Priante , Filippo Federici Canova , Lauri Kurki , Chen Xu , Adam S. Foster

A linear Gaussian state-space smoothing algorithm is presented for estimation of derivatives from a sequence of noisy measurements. The algorithm uses numerically stable square-root formulas, can handle simultaneous independent measurements…

Methodology · Statistics 2016-10-17 Robert Piche
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