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Bibliographic Details
Main Authors: Chang, Chun-Yi, Sung, Chih-Li
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.16434
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author Chang, Chun-Yi
Sung, Chih-Li
author_facet Chang, Chun-Yi
Sung, Chih-Li
contents Deep Gaussian Processes (DGPs) are powerful surrogate models known for their flexibility and ability to capture complex functions. However, extending them to multi-output settings remains challenging due to the need for efficient dependency modeling. We propose the Deep Intrinsic Coregionalization Multi-Output Gaussian Process (deepICMGP) surrogate for computer simulation experiments involving multiple outputs, which extends the Intrinsic Coregionalization Model (ICM) by introducing hierarchical coregionalization structures across layers. This enables deepICMGP to effectively model nonlinear and structured dependencies between multiple outputs, addressing key limitations of traditional multi-output GPs. We benchmark deepICMGP against state-of-the-art models, demonstrating its competitive performance. Furthermore, we incorporate active learning strategies into deepICMGP to optimize sequential design tasks, enhancing its ability to efficiently select informative input locations for multi-output systems.
format Preprint
id arxiv_https___arxiv_org_abs_2508_16434
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Deep Intrinsic Coregionalization Multi-Output Gaussian Process Surrogate with Active Learning
Chang, Chun-Yi
Sung, Chih-Li
Machine Learning
Deep Gaussian Processes (DGPs) are powerful surrogate models known for their flexibility and ability to capture complex functions. However, extending them to multi-output settings remains challenging due to the need for efficient dependency modeling. We propose the Deep Intrinsic Coregionalization Multi-Output Gaussian Process (deepICMGP) surrogate for computer simulation experiments involving multiple outputs, which extends the Intrinsic Coregionalization Model (ICM) by introducing hierarchical coregionalization structures across layers. This enables deepICMGP to effectively model nonlinear and structured dependencies between multiple outputs, addressing key limitations of traditional multi-output GPs. We benchmark deepICMGP against state-of-the-art models, demonstrating its competitive performance. Furthermore, we incorporate active learning strategies into deepICMGP to optimize sequential design tasks, enhancing its ability to efficiently select informative input locations for multi-output systems.
title Deep Intrinsic Coregionalization Multi-Output Gaussian Process Surrogate with Active Learning
topic Machine Learning
url https://arxiv.org/abs/2508.16434