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math.NA2025
Automatic reproducing kernel and regularization for learning convolution kernels
Haibo Li, Fei Lu
Learning convolution kernels in operators from data arises in numerous applications and represents an ill-posed inverse problem of broad interest. With scant prior information, ker…
math.NA2024
Scalable iterative data-adaptive RKHS regularization
Haibo Li, Jinchao Feng, Fei Lu
We present iDARR, a scalable iterative Data-Adaptive RKHS Regularization method, for solving ill-posed linear inverse problems. The method searches for solutions in subspaces where…