5 papers
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\}…
A Comparison of DeepSeek and Other LLMs
Tianchen Gao, Jiashun Jin, Zheng Tracy Ke +1
Recently, DeepSeek has been the focus of attention in and beyond the AI community. An interesting problem is how DeepSeek compares to other large language models (LLMs). There are…
Counting Cycles with AI: Counting Cycles with AI: Computationally Efficient Equivalent Forms with Applications
Jiashun Jin, Tracy Ke, Zheng Tracy Ke +2
Cycle count statistics are fundamental tools in statistics and engineering, with applications in motif counting, channel coding, and statistical inference of network and matrix dat…
Network Goodness-of-Fit for the block-model family
Jiashun Jin, Zheng Tracy Ke, Jiajun Tang +1
The block-model family has four popular network models (SBM, DCBM, MMSBM, and DCMM). A fundamental problem is, how well each of these models fits with real networks. We propose GoF…