3 papers
math.CO2026
Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices
Yanjun Han, Jonathan Niles-Weed
We prove new inequalities for elementary symmetric polynomials (ESPs) for vectors that sum to zero, and for square matrices with zero row and column sums. We apply these results to…
math.ST2025
Approximate independence of permutation mixtures
Yanjun Han, Jonathan Niles-Weed
We prove bounds on statistical distances between high-dimensional exchangeable mixture distributions (which we call \emph{permutation mixtures}) and their i.i.d. counterparts. Our…
math.ST2025
Besting Good--Turing: Optimality of Non-Parametric Maximum Likelihood for Distribution Estimation
Yanjun Han, Jonathan Niles-Weed, Yandi Shen +1
When faced with a small sample from a large universe of possible outcomes, scientists often turn to the venerable Good--Turing estimator. Despite its pedigree, however, this estima…