56 citations · 225 across the 37 of their papers we have counts for
4 papers · 1 filter
Applications of Royen's Gaussian Correlation Inequality in high-dimensional testing
Jiashun Jin, Zheng Tracy Ke, Jingming Wang
Royen's Gaussian Correlation Inequality (GCI) is a fundamental result in statistics and probability, but unfortunately, at least by now, the result is not very well known in the st…
The Gold Rush in AI4Math: Where Are We Now?
Jiashun Jin, Zheng Tracy Ke, Bingcheng Sui
Recent advances in artificial intelligence (AI) have sparked growing interest in its use for mathematical research. While some view this as a major opportunity for discovery, other…
A New Impossibility Region for the Symmetric Nonnegative Inverse Eigenvalue Problem
Jiashun Jin, Zheng Tracy Ke, Bingcheng Sui
We present a new impossibility region for the symmetric nonnegative inverse eigenvalue problem. The region lies in the low-trace regime and, to the best of our knowledge…
Concentration Inequalities for Incomplete U-statistics over Arbitrary Sampling Graphs
Zheng Tracy Ke
Let be independent random vectors. For a directed graph with vertex set and a collection of bivariate kernels $\{h_e:e\in E\}…