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Many machine learning tasks in the natural sciences are precisely equivariant to particular symmetries. Nonetheless, equivariant methods are often not employed, perhaps because training is perceived to be challenging, or the symmetry is…

Machine Learning · Computer Science 2025-11-27 Valentino F. Foit , David W. Hogg , Soledad Villar

Lattice QCD is notorious for its computational expense. Modern lattice simulations require large-scale computational resources to handle the large number of Dirac operator inversions used to construct correlation functions. Machine learning…

High Energy Physics - Lattice · Physics 2025-01-15 Octavio Vega , Andrew Lytle , Jiayu Shen , Aida X. El-Khadra

We present a Bayesian framework for joint and coherent analyses of multimessenger binary neutron star signals. The method, implemented in our bajes infrastructure, incorporates a joint likelihood for multiple datasets, support for various…

High Energy Astrophysical Phenomena · Physics 2024-09-04 Matteo Breschi , Rossella Gamba , Gregorio Carullo , Daniel Godzieba , Sebastiano Bernuzzi , Albino Perego , David Radice

In this work, we investigate Gaussian process regression used to recover a function based on noisy observations. We derive upper and lower error bounds for Gaussian process regression with possibly misspecified correlation functions. The…

Statistics Theory · Mathematics 2022-07-20 Wenjia Wang , Bing-Yi Jing

We discuss recent developments regarding the use of kernels in complex Langevin simulations. In particular, we outline how a kernel can be used to solve the problem of wrong convergence in a simple toy model. Since conventional correctness…

High Energy Physics - Lattice · Physics 2025-12-17 Michael Mandl , Erhard Seiler , Dénes Sexty

Nuclear masses play a crucial role in both nuclear physics and astrophysics, driving sustained efforts toward their precise experimental determination and reliable theoretical prediction. In this work, we compile the newly measured masses…

Nuclear Theory · Physics 2025-08-19 Xiaoying Qu , Kangmin Chen , Cong Pan , Yangyang Yu , Kaiyuan Zhang

The modeling of nuclear reactions and radioactive decays in astrophysical or earth-based conditions requires detailed knowledge of the masses of essentially all nuclei. Microscopic mass models based on nuclear energy density functionals…

Nuclear Theory · Physics 2022-01-05 Guillaume Scamps , Stephane Goriely , Erik Olsen , Michael Bender , Wouter Ryssens

The presently most accurate prediction for the W-boson mass in the Standard Model is obtained by combining the complete two-loop result with the known higher-order QCD and electroweak corrections. The numerical impact of the different…

High Energy Physics - Phenomenology · Physics 2021-11-09 M. Awramik , M. Czakon , A. Freitas , G. Weiglein

This study is devoted to the inference problem of extracting the nuclear matter properties directly from a set of mass-radius observations. We employ Bayesian neural networks (BNNs), which is a probabilistic model capable of estimating the…

Nuclear Theory · Physics 2024-09-27 Valéria Carvalho , Márcio Ferreira , Constança Providência

The particle discovered in the Higgs boson searches at the LHC with a mass of about 125 GeV can be identified with one of the neutral Higgs bosons of the Next-to-Minimal Supersymmetric Standard Model (NMSSM). We calculate predictions for…

High Energy Physics - Phenomenology · Physics 2017-02-22 Peter Drechsel , Leonardo Galeta , Sven Heinemeyer , Georg Weiglein

We report an exact likelihood computation for Linear Gaussian Markov processes that is more scalable than existing algorithms for complex models and sparsely sampled signals. Better scaling is achieved through elimination of repeated…

Machine Learning · Statistics 2018-05-21 Stijn de Waele

Mass is a fundamental property and an important fingerprint of atomic nucleus. It provides an extremely useful test ground for nuclear models and is crucial to understand energy generation in stars as well as the heavy elements synthesized…

Nuclear Theory · Physics 2018-07-17 Zhongming Niu , Haozhao Liang , Baohua Sun , Yifei Niu , Jianyou Guo , Jie Meng

Despite great theoretical efforts the NN interaction can only be determined with a finite precision, implying an error upper bound for nuclear masses. We analyze for the first time the problem of estimating the systematic errors related to…

Nuclear Theory · Physics 2012-03-01 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

Background: Mean-field methods based on an energy density functional (EDF) are powerful tools used to describe many properties of nuclei in the entirety of the nuclear chart. The accuracy required on energies for nuclear physics and…

Nuclear Theory · Physics 2015-12-29 W. Ryssens , P. -H. Heenen , M. Bender

Detecting gravitational waves from a nearby core-collapse supernova would place meaningful constraints on the supernova engine and nuclear equation of state. Here we use Convolutional Neural Network models to identify the core rotational…

High Energy Astrophysical Phenomena · Physics 2022-09-22 Yang-Sheng Chao , Chen-Zhi Su , Ting-Yuan Chen , Daw-Wei Wang , Kuo-Chuan Pan

We provide a summary of several parametrisations for the nuclear equation of state that have been proposed over the past decades and list viable ranges for their parameters. Based on these parametrisations, we construct a large database of…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Christian J. Krüger , Mariachiara Celato

Increasing digitalization enables the use of machine learning methods for analyzing and optimizing manufacturing processes. A main application of machine learning is the construction of quality prediction models, which can be used, among…

The potential energy surface (PES) of molecules with respect to their nuclear positions is a primary tool in understanding chemical reactions from first principles. However, obtaining this information is complicated by the fact that…

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