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On Dimension-free Tail Inequalities for Sums of Random Matrices and Applications
Chao Zhang, Min-Hsiu Hsieh, Dacheng Tao
In this paper, we present a new framework to obtain tail inequalities for sums of random matrices. Compared with existing works, our tail inequalities have the following characteri…
A Quantum-inspired Algorithm for General Minimum Conical Hull Problems
Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu +1
A wide range of fundamental machine learning tasks that are addressed by the maximum a posteriori estimation can be reduced to a general minimum conical hull problem. The best-know…
Generalization Bounds for Vicinal Risk Minimization Principle
Chao Zhang, Min-Hsiu Hsieh, Dacheng Tao
The vicinal risk minimization (VRM) principle, first proposed by \citet{vapnik1999nature}, is an empirical risk minimization (ERM) variant that replaces Dirac masses with vicinal f…