Some results on hypercircle inequality for partially corrupted data via orthonormal set

Abstract

In this paper, we briefly review the material on hypercircle inequality for partially corrupted data and its potential for addressing a learning problem in reproducing kernel Hilbert space. The aim of this paper is to present the transformation of its material to orthonormal bases. Specifically, our recent results lead us to improve important results on this subject, which are practically useful.

Keywords

• hypercircle inequality
• convex optimization
• reproducing kernel hilbert space