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Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime changes in training data. Here we explore DGPs as surrogates…

Methodology · Statistics 2021-08-27 Annie Sauer , Robert B. Gramacy , David Higdon

Surrogate modeling based on Gaussian processes (GPs) has received increasing attention in the analysis of complex problems in science and engineering. Despite extensive studies on GP modeling, the developments for functional inputs are…

Methodology · Statistics 2023-01-04 Chih-Li Sung , Wenjia Wang , Fioralba Cakoni , Isaac Harris , Ying Hung

We introduce Deep Jump Gaussian Processes (DJGP), a novel method for surrogate modeling of a piecewise continuous function on a high-dimensional domain. DJGP addresses the limitations of conventional Jump Gaussian Processes (JGP) in…

Machine Learning · Computer Science 2026-01-16 Yang Xu , Chiwoo Park

Surrogate models provide a quick-to-evaluate approximation to complex computational models and are essential for multi-query problems like design optimisation. The inputs of current deterministic computational models are usually…

Applications · Statistics 2024-10-15 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

In recent years, surrogate models have been successfully used in likelihood-free inference to decrease the number of simulator evaluations. The current state-of-the-art performance for this task has been achieved by Bayesian Optimization…

Machine Learning · Computer Science 2021-10-06 Alexander Aushev , Henri Pesonen , Markus Heinonen , Jukka Corander , Samuel Kaski

Surrogate modeling techniques have become indispensable in accelerating the discovery and optimization of high-entropy alloys(HEAs), especially when integrating computational predictions with sparse experimental observations. This study…

A systematic approach based on the principles of supervised learning and design of experiments concepts is introduced to build a surrogate model for estimating the optical properties of fractal aggregates. The surrogate model is built on…

Not being able to understand and predict the behavior of deep learning systems makes it hard to decide what architecture and algorithm to use for a given problem. In science and engineering, modeling is a methodology used to understand…

Machine Learning · Computer Science 2023-09-15 Michael Y. Li , Erin Grant , Thomas L. Griffiths

We consider the problem of constructing surrogate operators for parameter-to-solution maps arising from parametric partial differential equations, where repeated forward model evaluations are computationally expensive. We present a…

Machine Learning · Computer Science 2026-04-02 Josephine Westermann , Benno Huber , Thomas O'Leary-Roseberry , Jakob Zech

We introduce a scalable Gaussian process (GP) framework with deep product kernels for data-driven learning of parametrized spatio-temporal fields over fixed or parameter-dependent domains. The proposed framework learns a continuous…

Machine Learning · Computer Science 2026-03-03 Srinath Dama , Prasanth B. Nair

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

Machine Learning · Computer Science 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

Deep Gaussian processes (DGPs) provide a rich class of models that can better represent functions with varying regimes or sharp changes, compared to conventional GPs. In this work, we propose a novel inference method for DGPs for computer…

Machine Learning · Statistics 2022-08-18 Deyu Ming , Daniel Williamson , Serge Guillas

Several applications such as nuclear forensics, nuclear fuel cycle simulations and sensitivity analysis require methods to quickly compute spent fuel nuclide compositions for various irradiation histories. Traditionally, this has been done…

Computational Physics · Physics 2021-03-16 Antonio Figueroa , Malte Goettsche

In this work, we use Deep Gaussian Processes (DGPs) as statistical surrogates for stochastic processes with complex distributions. Conventional inferential methods for DGP models can suffer from high computational complexity as they require…

Machine Learning · Statistics 2023-05-02 Liang Ding , Rui Tuo , Shahin Shahrampour

While much research effort has been dedicated to scaling up sparse Gaussian process (GP) models based on inducing variables for big data, little attention is afforded to the other less explored class of low-rank GP approximations that…

Machine Learning · Statistics 2016-11-21 Quang Minh Hoang , Trong Nghia Hoang , Kian Hsiang Low

Thermal issue is of great importance during layout design of heat source components in systems engineering, especially for high functional-density products. Thermal analysis generally needs complex simulation, which leads to an unaffordable…

Machine Learning · Computer Science 2021-03-23 Xianqi Chen , Xiaoyu Zhao , Zhiqiang Gong , Jun Zhang , Weien Zhou , Xiaoqian Chen , Wen Yao

The performance of machine learning surrogates is critically dependent on data quality and quantity. This presents a major challenge, as high-fidelity (HF) data is often scarce and computationally expensive to acquire, while low-fidelity…

Machine Learning · Computer Science 2026-02-03 Jice Zeng , David Barajas-Solano , Hui Chen

Exploring ensemble simulations is increasingly important across many scientific domains. However, supporting flexible post-hoc exploration remains challenging due to the trade-off between storing the expensive raw data and flexibly…

Graphics · Computer Science 2026-04-09 Ziwei Li , Rumali Perera , Angus Forbes , Ken Moreland , Dave Pugmire , Scott Klasky , Wei-Lun Chao , Han-Wei Shen

The highly sparse activations in Spiking Neural Networks (SNNs) can provide tremendous energy efficiency benefits when carefully exploited in hardware. The behavior of sparsity in SNNs is uniquely shaped by the dataset and training…

Neural and Evolutionary Computing · Computer Science 2024-02-12 Ilkin Aliyev , Tosiron Adegbija

The increased penetration of wind power introduces more operational changes of critical corridors and the traditional time-consuming transient stability constrained total transfer capability (TTC) operational planning is unable to meet the…

Systems and Control · Electrical Eng. & Systems 2020-06-30 Gao Qiu , Youbo Liu , Junyong Liu , Junbo Zhao , Lingfeng Wang , Tingjian Liu , Hongjun Gao
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