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Björn Engquist

2 accepted papers

2023

Neural Inverse Operators for Solving PDE Inverse Problems

ICML 2023poster

A large class of inverse problems for PDEs are only well-defined as mappings from operators to functions. Existing operator learning frameworks map functions to functions and need to be modified to learn inverse maps from data. We propose a novel architecture termed Neural Inverse Operators (NIOs) t…

Cited by 48SourcePDFScholar
2022

A Generalized Weighted Optimization Method for Computational Learning and Inversion

ICLR 2022poster

The generalization capacity of various machine learning models exhibits different phenomena in the under- and over-parameterized regimes. In this paper, we focus on regression models such as feature regression and kernel regression and analyze a generalized weighted least-squares optimization method…

Cited by 3SourcePDFScholar