Operator learning with PCA-Net: upper and lower complexity bounds
Updated: 2023-11-30 21:38:33
: Home Page Papers Submissions News Editorial Board Special Issues Open Source Software Proceedings PMLR Data DMLR Transactions TMLR Search Statistics Login Frequently Asked Questions Contact Us Operator learning with PCA-Net : upper and lower complexity bounds Samuel Lanthaler 24(318 1 67, 2023. Abstract PCA-Net is a recently proposed neural operator architecture which combines principal component analysis PCA with neural networks to approximate operators between infinite-dimensional function spaces . The present work develops approximation theory for this approach , improving and significantly extending previous work in this direction : First , a novel universal approximation result is derived , under minimal assumptions on the underlying operator and the data-generating distribution .