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Efficient exploration of parameter spaces is crucial to extract physical information about the Epoch of Reionization from various observational probes. To this end, we propose a fast technique based on Gaussian Process Regression (GPR)…

Instrumentation and Methods for Astrophysics · Physics 2023-11-01 Barun Maity , Aseem Paranjape , Tirthankar Roy Choudhury

Time series forecasting is a growing domain with diverse applications. However, changes of the system behavior over time due to internal or external influences are challenging. Therefore, predictions of a previously learned fore-casting…

Machine Learning · Computer Science 2021-07-07 Florian Haselbeck , Dominik G. Grimm

Finite element model updating utilizing frequency response functions as inputs is an important procedure in structural analysis, design and control. This paper presents a highly efficient framework that is built upon Gaussian process…

Computational Engineering, Finance, and Science · Computer Science 2020-08-26 Kai Zhou , Jiong Tang

Edge transport barriers (ETBs) in magnetically confined fusion plasmas, commonly known as pedestals, play a crucial role in achieving high confinement plasmas. However, their defining characteristic, a steep rise in plasma pressure over…

When a damaging earthquake occurs, immediate information about casualties is critical for time-sensitive decision-making by emergency response and aid agencies in the first hours and days. Systems such as Prompt Assessment of Global…

Computation and Language · Computer Science 2023-12-08 Chenguang Wang , Davis Engler , Xuechun Li , James Hou , David J. Wald , Kishor Jaiswal , Susu Xu

The Gaussian process (GP) regression model is a widely employed surrogate modeling technique for computer experiments, offering precise predictions and statistical inference for the computer simulators that generate experimental data.…

Methodology · Statistics 2024-04-02 Lulu Kang , Yuanxing Cheng , Yiwei Wang , Chun Liu

In this paper, we introduce a novel theoretical framework for Gaussian process regression error analysis, leveraging a function-space decomposition. Based on this framework, we develop a weighted Jacobi iterative method that utilizes…

Numerical Analysis · Mathematics 2026-02-27 Tiantian Sun , Juan Zhang

In this paper, we explore the application of Gaussian Processes (GPs) for predicting mean-reverting time series with an underlying structure, using relatively unexplored functional and augmented data structures. While many conventional…

Statistical Finance · Quantitative Finance 2024-03-05 Narayan Tondapu

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

We show that Gaussian process regression (GPR) can be used to infer the electromagnetic (EM) duct height within the marine atmospheric boundary layer (MABL) from sparsely sampled propagation factors within the context of bistatic radars. We…

Atmospheric and Oceanic Physics · Physics 2020-07-15 Hilarie Sit , Christopher J. Earls

Retinal prostheses restore vision by electrically stimulating surviving neurons, but calibrating perceptual thresholds (i.e., the minimum stimulus intensity required for perception) remains a time-intensive challenge, especially for…

Quantitative Methods · Quantitative Biology 2025-04-30 Roksana Sadeghi , Michael Beyeler

In this paper, an agent-based modeling framework to evaluate the seismic resilience of an integrated system comprising the community and its civil infrastructure systems is proposed. Specifically, an agent-based model of the recovery…

Physics and Society · Physics 2019-06-04 Li Sun , Bozidar Stojadinovic , Giovanni Sansavini

Resonances in open quantum systems depending on at least two controllable parameters can show the phenomenon of exceptional points (EPs), where not only the eigenvalues but also the eigenvectors of two or more resonances coalesce. Their…

Quantum Physics · Physics 2024-03-14 Patrick Egenlauf , Patric Rommel , Jörg Main

The time-dependent deformation of concrete, particularly creep, remains a key challenge for reliable and material-efficient design. Experimental results show that tailored preloading, short-term loads exceeding the subsequent sustained…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Leonie Heller , Christopher Taube , Gledson Rodrigo Tondo , Guido Morgenthal

Uncertainty Quantification (UQ) is essential for the reliable application of computational models in engineering and science. Among surrogate modeling techniques, Gaussian Process Regression (GPR) is particularly valuable for its…

Computation · Statistics 2025-12-15 Jinglai Li , Hongqiao Wang

In the near future, Structural Health Monitoring (SHM) technologies will be capable of overcoming the drawbacks in the current maintenance and life-cycle management paradigms, namely: cost, increased downtime, less-than-optimal safety…

Signal Processing · Electrical Eng. & Systems 2025-05-05 Ahmad Amer , Fotis Kopsaftopoulos

This paper proposes an efficient general alternating-direction implicit (GADI) framework for solving large sparse linear systems. The convergence property of the GADI framework is discussed. Most of the existing ADI methods can be viewed as…

Numerical Analysis · Mathematics 2022-05-04 Kai Jiang , Xuehong Su , Juan Zhang

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

Local approximations are popular methods to scale Gaussian processes (GPs) to big data. Local approximations reduce time complexity by dividing the original dataset into subsets and training a local expert on each subset. Aggregating the…

Machine Learning · Computer Science 2022-02-10 Hamed Jalali , Martin Pawelczyk , Gjergji Kasneci

We apply for the first time Gaussian Process Regression (GPR) as a foreground removal technique in the context of single-dish, low redshift HI intensity mapping, and present an open-source Python toolkit for doing so. We use MeerKAT and…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-05 Paula S. Soares , Catherine A. Watkinson , Steven Cunnington , Alkistis Pourtsidou