Publications (27)
Inner functions in reproducing kernel spaces
Raymond Cheng, Javad Mashreghi, William T. Ross
In this paper we explore the notion of inner function in a broader context of operator theory.
Talek: Private Group Messaging with Hidden Access Patterns
Raymond Cheng, William Scott, Elisaweta Masserova +5
Talek is a private group messaging system that sends messages through potentially untrustworthy servers, while hiding both data content and the communication patterns among its use…
Free curves in Fano hypersurfaces must have high degree
Raymond Cheng
The purpose of this note is to show that the minimal for which every smooth Fano hypersurface of dimension contains a free rational curve of degree at most cannot be bo…
A Duality Approach to Regularized Learning Problems in Banach Spaces
Raymond Cheng, Rui Wang, Yuesheng Xu
Learning methods in Banach spaces are often formulated as regularization problems which minimize the sum of a data fidelity term in a Banach norm and a regularization term in anoth…
Profiles, linear spaces, and unirationality of complete intersections
Raymond Cheng
Complete intersections may be unexpectedly simple over fields of positive characteristic: for instance, they may be unirational despite being of general type. One explanation is gi…
Combinatorial aspects of the quantized universal enveloping algebra of
Raymond Cheng, David M. Jackson, Geoffrey Stanley
Quasi-triangular Hopf algebras were introduced by Drinfel'd in his construction of solutions to the Yang--Baxter Equation. This algebra is built upon $\mathcal{U}_h(\mathfrak{sl}_2…