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The extraction of parton distribution functions (PDFs) from experimental or lattice QCD data is an ill-posed inverse problem, where regularization strongly impacts both systematic uncertainties and the reliability of the results. We study a…

High Energy Physics - Lattice · Physics 2026-02-11 Yamil Cahuana Medrano , Hervé Dutrieux , Joseph Karpie , Kostas Orginos , Savvas Zafeiropoulos

The 21-cm power spectrum (PS) has been shown to be a powerful discriminant of reionization and cosmic dawn astrophysical parameters. However, the 21-cm tomographic signal is highly non-Gaussian. Therefore there is additional information…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-13 Nicolas Gillet , Andrei Mesinger , Bradley Greig , Adrian Liu , Graziano Ucci

Quantum Recurrent Neural Networks (QRNNs) are robust candidates for modelling and predicting future values in multivariate time series. However, the effective implementation of some QRNN models is limited by the need for mid-circuit…

Quantum Physics · Physics 2025-01-31 José Daniel Viqueira , Daniel Faílde , Mariamo M. Juane , Andrés Gómez , David Mera

High-redshift 21-cm observations will provide crucial insights into the physical processes of the Epoch of Reionization. Next-generation interferometers such as the Square Kilometer Array will have enough sensitivity to directly image the…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-27 Simon Gazagnes , Léon V. E. Koopmans , Michael H. F. Wilkinson

This paper examines experimental design procedures used to develop surrogates of computational models, exploring the interplay between experimental designs and approximation algorithms. We focus on two widely used approximation approaches,…

Numerical Analysis · Computer Science 2016-05-02 Alex A. Gorodetsky , Youssef M. Marzouk

We present a neural-network emulator for the thermal and chemical evolution in Population III star formation. The emulator accurately reproduces the thermochemical evolution over a wide density range spanning 21 orders of magnitude…

Astrophysics of Galaxies · Physics 2026-05-18 Sojun Ono , Kazuyuki Sugimura

In this work, we develop Gaussian process regression (GPR) models of hyperelastic material behavior. First, we consider the direct approach of modeling the components of the Cauchy stress tensor as a function of the components of the Finger…

Machine Learning · Statistics 2019-12-24 Ari Frankel , Reese Jones , Laura Swiler

Although neural-network-based emulators enable efficient parameter estimation in 21-cm cosmology, the accuracy of such constraints is poorly understood. We employ nested sampling to fit mock data of the global 21-cm signal and high-$z$…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-05 J. Dorigo Jones , D. Rapetti , J. Mirocha , J. J. Hibbard , J. O. Burns , N. Bassett

Approximate inference in Gaussian process (GP) models with non-conjugate likelihoods gets entangled with the learning of the model hyperparameters. We improve hyperparameter learning in GP models and focus on the interplay between…

Machine Learning · Computer Science 2023-06-08 Rui Li , ST John , Arno Solin

In this work, we present a novel machine learning approach for pricing high-dimensional American options based on the modified Gaussian process regression (GPR). We incorporate deep kernel learning and sparse variational Gaussian processes…

Computational Finance · Quantitative Finance 2024-04-19 Jirong Zhuang , Deng Ding , Weiguo Lu , Xuan Wu , Gangnan Yuan

The accurate prediction of the two-phase heat transfer coefficient (HTC) as a function of working fluids, channel geometries and process conditions is key to the optimal design and operation of compact heat exchangers. Advances in…

Fluid Dynamics · Physics 2023-05-31 Tullio Traverso , Francesco Coletti , Luca Magri , Tassos G. Karayiannis , Omar K. Matar

Extreme-mass-ratio inspiral (EMRI) signals pose significant challenges in gravitational wave (GW) astronomy owing to their low-frequency nature and highly complex waveforms, which occupy a high-dimensional parameter space with numerous…

Randomized algorithms exploit stochasticity to reduce computational complexity. One important example is random feature regression (RFR) that accelerates Gaussian process regression (GPR). RFR approximates an unknown function with a random…

Machine Learning · Computer Science 2025-02-26 Oliver R. A. Dunbar , Nicholas H. Nelsen , Maya Mutic

A detection of the 21-cm signal power spectrum from the Epoch of Reionization is imminent, thanks to consistent advancements from telescopes such as LOFAR, MWA, and HERA, along with the development of SKA. In light of this progress, it is…

We present a computationally-efficient strategy to initialise the hyperparameters of a Gaussian process (GP) avoiding the computation of the likelihood function. Our strategy can be used as a pretraining stage to find initial conditions for…

Machine Learning · Computer Science 2023-04-27 Felipe Tobar , Elsa Cazelles , Taco de Wolff

Understanding sub-cellular protein localisation is an essential component to analyse context specific protein function. Recent advances in quantitative mass-spectrometry (MS) have led to high resolution mapping of thousands of proteins to…

Applications · Statistics 2019-03-12 Oliver M. Crook , Kathryn S. Lilley , Laurent Gatto , Paul D. W. Kirk

Studying the impact of systematic effects, optimizing survey strategies, assessing tensions between different probes and exploring synergies of different data sets require a large number of simulated likelihood analyses, each of which cost…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-07 Supranta S. Boruah , Tim Eifler , Vivian Miranda , Sai Krishanth P. M

Probabilistic Logic Programming (PLP), exemplified by Sato and Kameya's PRISM, Poole's ICL, De Raedt et al's ProbLog and Vennekens et al's LPAD, combines statistical and logical knowledge representation and inference. Inference in these…

Artificial Intelligence · Computer Science 2012-03-21 Muhammad Asiful Islam , C. R. Ramakrishnan , I. V. Ramakrishnan

Computer models are used as a way to explore complex physical systems. Stationary Gaussian process emulators, with their accompanying uncertainty quantification, are popular surrogates for computer models. However, many computer models are…

Methodology · Statistics 2024-11-25 Faezeh Yazdi , Derek Bingham , Daniel Williamson

Fitting a theoretical model to experimental data in a Bayesian manner using Markov chain Monte Carlo typically requires one to evaluate the model thousands (or millions) of times. When the model is a slow-to-compute physics simulation,…

Machine Learning · Statistics 2022-08-25 Steven Stetzler , Michael Grosskopf , Earl Lawrence