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math.OC2025
Differential Privacy for Euclidean Jordan Algebra with Applications to Private Symmetric Cone Programming
Zhao Song, Jianfei Xue, Lichen Zhang
In this paper, we study differentially private mechanisms for functions whose outputs lie in a Euclidean Jordan algebra. Euclidean Jordan algebras capture many important mathematic…
math.OC2023
Faster Algorithms for Structured Linear and Kernel Support Vector Machines
Yuzhou Gu, Zhao Song, Lichen Zhang
Quadratic programming is a ubiquitous prototype in convex programming. Many machine learning problems can be formulated as quadratic programming, including the famous Support Vecto…
math.OC2023
Efficient Algorithm for Solving Hyperbolic Programs
Yichuan Deng, Zhao Song, Lichen Zhang +1
Hyperbolic polynomials is a class of real-roots polynomials that has wide range of applications in theoretical computer science. Each hyperbolic polynomial also induces a hyperboli…