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math.ST2026
Scalable Operator Learning via Nyström Approximation With Denoising Applications
Naveen Gupta, Vaibhav Silmana, S. Sivananthan
In this paper, we study Nyström subsampling for vector-valued regression in vector-valued reproducing kernel Hilbert spaces. Standard kernel methods often suffer from prohibitive c…
math.ST2026
Minimax Optimal Estimation of Mean and Covariance Functions with Spectral Regularization
Naveen Gupta, Bharath K Sriperumbudur
Estimation of the mean and covariance functions is a fundamental problem in functional data analysis, particularly for discretely observed functional data. In this work, we study a…