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Gaussian Processes (GP) have become popular machine-learning methods for kernel-based learning on datasets with complicated covariance structures. In this paper, we present a novel extension to the GP framework using a contaminated normal…

机器学习 · 计算机科学 2024-07-03 Daniel Iong , Matthew McAnear , Yuezhou Qu , Shasha Zou , Gabor Toth , Yang Chen

Machine learning models achieve state-of-the-art performance on many supervised learning tasks. However, prior evidence suggests that these models may learn to rely on shortcut biases or spurious correlations (intuitively, correlations that…

机器学习 · 计算机科学 2021-08-31 Sindhu C. M. Gowda , Shalmali Joshi , Haoran Zhang , Marzyeh Ghassemi

Gaussian process (GP) models provide a powerful tool for prediction but are computationally prohibitive using large data sets. In such scenarios, one has to resort to approximate methods. We derive an approximation based on a composite…

机器学习 · 统计学 2018-02-02 Xiuming Liu , Dave Zachariah , Edith C. H. Ngai

Infrastructure recovery time estimation is critical to disaster management and planning. Inspired by recent resilience planning initiatives, we consider a situation where experts are asked to estimate the time for different infrastructure…

统计方法学 · 统计学 2021-10-05 Quoc D. Cao , Scott B. Miles , Youngjun Choe

The increasing demand for electricity and the need for clean energy sources have increased solar energy use. Accurate forecasts of solar energy are required for easy management of the grid. This paper compares the accuracy of two Gaussian…

应用统计 · 统计学 2022-12-13 Edina Chandiwana , Caston Sigauke , Alphonce Bere

The present research builds on a recently proposed spatial prediction method for discretized two-dimensional data, based on a suitably modified planar rotator (MPR) spin model from statistical physics. This approach maps the measured data…

计算物理 · 物理学 2020-07-08 Matúš Lach , Michal Borovský , Milan Žukovič

Unpredictable and complex aerodynamic effects pose significant challenges to achieving precise flight control, such as the downwash effect from upper vehicles to lower ones. Conventional methods often struggle to accurately model these…

机器人学 · 计算机科学 2024-09-30 Yuan Gao , Yinyi Lai , Jun Wang , Yini Fang

Gaussian stochastic process (GaSP) has been widely used in two fundamental problems in uncertainty quantification, namely the emulation and calibration of mathematical models. Some objective priors, such as the reference prior, are studied…

统计方法学 · 统计学 2018-09-11 Mengyang Gu

We show that Gaussian process regression (GPR) allows representing multivariate functions with low-dimensional terms via kernel design. When using a kernel built with HDMR (High-dimensional model representation), one obtains a similar type…

数值分析 · 数学 2023-01-27 Eita Sasaki , Manabu Ihara , Sergei Manzhos

Gaussian Processes (GPs) are highly expressive, probabilistic models. A major limitation is their computational complexity. Naively, exact GP inference requires $\mathcal{O}(N^3)$ computations with $N$ denoting the number of modeled points.…

机器学习 · 计算机科学 2022-06-23 Gordian Edenhofer , Reimar H. Leike , Philipp Frank , Torsten A. Enßlin

Chloride-induced corrosion significantly contributes to the degradation of reinforced concrete structures, making accurate predictions of chloride migration and its effects on material durability critical. This paper explores two modeling…

计算工程、金融与科学 · 计算机科学 2024-11-26 A. Potnis , M. Macier , T. Leusmann , D. Anton , H. Wessels , D. Lowke

In this paper we propose a novel Bayesian solution for nonlinear regression in complex fields. Previous solutions for kernels methods usually assume a complexification approach, where the real-valued kernel is replaced by a complex-valued…

This work presents a novel method for extracting potential barrier distributions from experimental fusion cross sections. We utilize a simple Gaussian process regression (GPR) framework to model the observed cross sections as a function of…

核理论 · 物理学 2024-06-10 Kyle Godbey

Gaussian process (GP) models have received increasing attention in recent years due to their superb prediction accuracy and modeling flexibility. To address the computational burdens of GP models for large-scale datasets, distributed…

机器学习 · 统计学 2026-02-11 Haoyuan Chen , Rui Tuo

As a non-parametric Bayesian model which produces informative predictive distribution, Gaussian process (GP) has been widely used in various fields, like regression, classification and optimization. The cubic complexity of standard GP…

机器学习 · 统计学 2018-11-06 Haitao Liu , Jianfei Cai , Yew-Soon Ong , Yi Wang

Deep neural networks offer numerous potential applications across geoscience, for example, one could argue that they are the state-of-the-art method for predicting faults in seismic datasets. In quantitative reservoir characterization…

机器学习 · 计算机科学 2021-05-26 Lukas Mosser , Ehsan Zabihi Naeini

This article deals with the study of predicting the confinement effect of carbon fiber reinforced polymers (CFRPs) on concrete cylinder strength using metaheuristics-based artificial neural networks. A detailed database of 708 CFRP confined…

神经与进化计算 · 计算机科学 2024-03-22 Sarmed Wahab , Mohamed Suleiman , Faisal Shabbir , Nasim Shakouri Mahmoudabadi , Sarmad Waqas , Nouman Herl , Afaq Ahmad

The properties of lattice-based structures can be enhanced by varying their geometric parameters in a graded manner, and the gradation can be tailored to extremize a particular objective. In this manuscript, we propose a non-gradient-based…

计算物理 · 物理学 2026-04-07 Piyush Agrawal , Manish Agrawal

Informative sampling designs can impact spatial prediction, or kriging, in two important ways. First, the sampling design can bias spatial covariance parameter estimation, which in turn can bias spatial kriging estimates. Second, even with…

统计方法学 · 统计学 2021-08-30 Erin M. Schliep , Christopher K. Wikle , Ranadeep Daw

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

机器学习 · 计算机科学 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov