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cs.LG2024
Operator Learning with Gaussian Processes
Carlos Mora, Amin Yousefpour, Shirin Hosseinmardi +2
Operator learning focuses on approximating mappings between infinite-dimensional spaces of functions, such as $u: Ω_u\right…
cs.LG2024
Simultaneous and Meshfree Topology Optimization with Physics-informed Gaussian Processes
Amin Yousefpour, Shirin Hosseinmardi, Carlos Mora +1
Topology optimization (TO) provides a principled mathematical approach for optimizing the performance of a structure by designing its material spatial distribution in a pre-defined…
cs.LG2024★ 1 cited
A Gaussian Process Framework for Solving Forward and Inverse Problems Involving Nonlinear Partial Differential Equations
Carlos Mora, Amin Yousefpour, Shirin Hosseinmardi +1
Physics-informed machine learning (PIML) has emerged as a promising alternative to conventional numerical methods for solving partial differential equations (PDEs). PIML models are…