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cs.DS2024★ 2 cited
Quantum Speedups for Approximating the John Ellipsoid
Xiaoyu Li, Zhao Song, Junwei Yu
In 1948, Fritz John proposed a theorem stating that every convex body has a unique maximal volume inscribed ellipsoid, known as the John ellipsoid. The John ellipsoid has become fu…
cs.DS2024★ 2 cited
A Tighter Complexity Analysis of SparseGPT
Xiaoyu Li, Yingyu Liang, Zhenmei Shi +1
In this work, we improved the analysis of the running time of SparseGPT [Frantar, Alistarh ICML 2023] from to for any $a \in […
cs.DS2024★ 3 cited
Fast John Ellipsoid Computation with Differential Privacy Optimization
Xiaoyu Li, Yingyu Liang, Zhenmei Shi +2
Determining the John ellipsoid - the largest volume ellipsoid contained within a convex polytope - is a fundamental problem with applications in machine learning, optimization, and…