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Feature Qualification by Deep Nets: A Constructive Approach
Feilong Cao, Shao-Bo Lin
The great success of deep learning has stimulated avid research activities in verifying the power of depth in theory, a common consensus of which is that deep net are versatile in…
Component-based Sketching for Deep ReLU Nets
Di Wang, Shao-Bo Lin, Deyu Meng +1
Deep learning has made profound impacts in the domains of data mining and AI, distinguished by the groundbreaking achievements in numerous real-world applications and the innovativ…
Weighted Spectral Filters for Kernel Interpolation on Spheres: Estimates of Prediction Accuracy for Noisy Data
Xiaotong Liu, Jinxin Wang, Di Wang +1
Spherical radial-basis-based kernel interpolation abounds in image sciences including geophysical image reconstruction, climate trends description and image rendering due to its ex…
Adaptive Parameter Selection for Kernel Ridge Regression
Shao-Bo Lin
This paper focuses on parameter selection issues of kernel ridge regression (KRR). Due to special spectral properties of KRR, we find that delicate subdivision of the parameter int…