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Gaussian Process (GP) emulators are widely used to approximate complex computer model behaviour across the input space. Motivated by the problem of coupling computer models, recently progress has been made in the theory of the analysis of…

Applications · Statistics 2022-04-20 Victoria Volodina , Nikki Sonenberg , Peter Challenor , Jim Q. Smith

Large, multi-dimensional spatio-temporal datasets are omnipresent in modern science and engineering. An effective framework for handling such data are Gaussian process deep generative models (GP-DGMs), which employ GP priors over the latent…

Machine Learning · Statistics 2020-10-26 Matthew Ashman , Jonathan So , Will Tebbutt , Vincent Fortuin , Michael Pearce , Richard E. Turner

We present GPR_calculator, a package based on Python and C++ programming languages to build an on-the-fly surrogate model using Gaussian Process Regression (GPR) to approximate expensive electronic structure calculations. The key idea is to…

Materials Science · Physics 2026-01-30 Isaac Onyango , Byungkyun Kang , Qiang Zhu

Weakly stationary Gaussian processes (GPs) are the principal tool in the statistical approaches to the design and analysis of computer experiments (or Uncertainty Quantification). Such processes are fitted to computer model output using a…

Methodology · Statistics 2019-02-28 Victoria Volodina , Daniel B. Williamson

Generative modeling is one of the most promising applications of quantum machine learning, yet training and deploying Quantum Generative Models (QGMs) on near-term hardware remains effectively intractable due to prohibitive gradient…

The Gaussian process (GP) is a widely used probabilistic machine learning method with implicit uncertainty characterization for stochastic function approximation, stochastic modeling, and analyzing real-world measurements of nonlinear…

Machine Learning · Statistics 2026-04-14 Mark D. Risser , Marcus M. Noack , Hengrui Luo , Ronald Pandolfi

Gaussian processes (GPs) have gained popularity as flexible machine learning models for regression and function approximation with an in-built method for uncertainty quantification. However, GPs suffer when the amount of training data is…

Machine Learning · Statistics 2025-11-26 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

In the framework of the estimation of safety margins in nuclear accident analysis, a quantitative assessment of the uncertainties tainting the results of computer simulations is essential. Accurate uncertainty propagation (estimation of…

Applications · Statistics 2019-01-01 Bertrand Iooss , Amandine Marrel

Stochastic simulations need multiple replications in order to build confidence intervals for their results. Even if we do not need a large amount of replications, it is a good practice to speed-up the whole simulation time using the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-08 Jonathan Passerat-Palmbach , Jonathan Caux , Pridi Siregar , Claude Mazel , David Hill

Obtaining accurate estimates of satellite drag coefficients in low Earth orbit is a crucial component in positioning and collision avoidance. Simulators can produce accurate estimates, but their computational expense is much too large for…

Computation · Statistics 2019-06-25 Furong Sun , Robert B. Gramacy , Benjamin Haaland , Earl Lawrence , Andrew Walker

Searchers for various irregularities in the behavior of thermodynamic quantities at chemical freeze-out (CFO) are rather important in a view of experimental studies of quark-gluon plasma (QGP). Using the multicomponent hadron resonance gas…

Nuclear Theory · Physics 2017-01-03 V. V. Sagun , K. A. Bugaev , A. I. Ivanytskyi , D. R. Oliinychenko

The hot and dense QCD matter, known as the Quark-Gluon Plasma (QGP), is explored through heavy-ion collision experiments at the LHC and RHIC. Jets and heavy flavors, produced from the initial hard scattering, are used as hard probes to…

Thermalization of heavy quarks in the quark-gluon plasma (QGP) is one of the most promising phenomena for understanding the strong interaction. The energy loss and momentum broadening at low momentum can be well described by a stochastic…

High Energy Physics - Phenomenology · Physics 2024-05-01 Xiaojian Du , Wenyang Qian

Ultrarelativistic heavy ion collisions recreate in the laboratory the thermodynamical conditions prevailing in the early universe up to 10$^{-6}$ seconds, thereby allowing the study of the quark-gluon plasma (QGP), a state of quantum…

High Energy Physics - Experiment · Physics 2020-11-26 CMS Collaboration

Suppression of open heavy quarks and quarkonia in heavy-ion collisions are among the most informative probes of quark-gluon plasma (QGP). Interpreting the full wealth of data obtained from the collision events requires a precise theoretical…

High Energy Physics - Phenomenology · Physics 2025-05-01 Bruno Scheihing-Hitschfeld , Xiaojun Yao

Heavy quarks (charm and bottoms) are one of the few probes which are sensitive to the degrees of freedom of a Quark Gluon Plasma (QGP), which cannot be revealed by lattice gauge calculations in equilibrium. Due to the rapid expansion of the…

High Energy Physics - Phenomenology · Physics 2016-04-11 H. Berrehrah , M. Nahrgang , T. Song , V. Ozvenchuck , P. B. Gossiaux , K. Werner , E. Bratkovskaya , J. Aichelin

Machine learning techniques have emerged as powerful tools for tackling non-perturbative challenges in quantum chromodynamics. In this study, we introduce a data-driven framework employing deep neural networks to systematically predict the…

High Energy Physics - Phenomenology · Physics 2025-09-19 Mohammad Yousuf Jamal , Fu-Peng Li , Long-Gang Pang , Guang-You Qin

Large scale Gaussian process (GP) regression is infeasible for larger data sets due to cubic scaling of flops and quadratic storage involved in working with covariance matrices. Remedies in recent literature focus on divide-and-conquer,…

Methodology · Statistics 2020-05-28 Adam M. Edwards , Robert B. Gramacy

$\mathtt{StochasticGW}$ is a code for computing accurate Quasi-Particle (QP) energies of molecules and material systems in the GW approximation. $\mathtt{StochasticGW}$ utilizes the stochastic Resolution of the Identity (sROI) technique to…

A Gaussian Process (GP) is a prominent mathematical framework for stochastic function approximation in science and engineering applications. This success is largely attributed to the GP's analytical tractability, robustness, non-parametric…

Machine Learning · Statistics 2022-05-19 Marcus M. Noack , Harinarayan Krishnan , Mark D. Risser , Kristofer G. Reyes
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