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Deep Intrinsic Coregionalization Multi-Output Gaussian Process Surrogate with Active Learning

Published: August 22, 2025 | arXiv ID: 2508.16434v1

By: Chun-Yi Chang, Chih-Li Sung

Potential Business Impact:

Helps computers understand many results at once.

Business Areas:
Simulation Software

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.

Page Count
41 pages

Category
Statistics:
Machine Learning (Stat)