no code implementations • 9 Mar 2023 • Jiashun Jin, Zheng Tracy Ke, Paxton Turner, Anru R. Zhang
Using a degree-corrected block model (DCBM), we establish phase transitions of this testing problem concerning the size of the small community and the edge densities in small and large communities.
no code implementations • 3 Jan 2023 • T. Tony Cai, Zheng Tracy Ke, Paxton Turner
Motivated by applications in text mining and discrete distribution inference, we investigate the testing for equality of probability mass functions of $K$ groups of high-dimensional multinomial distributions.
no code implementations • 19 Aug 2022 • Aaron Potechin, Paxton Turner, Prayaag Venkat, Alexander S. Wein
6031-6036, 2013] conjecture that the ellipsoid fitting problem transitions from feasible to infeasible as the number of points $n$ increases, with a sharp threshold at $n \sim d^2/4$.
no code implementations • 10 Nov 2020 • Paxton Turner, Jingbo Liu, Philippe Rigollet
We study the problem of space and time efficient evaluation of a nonparametric estimator that approximates an unknown density.
no code implementations • 10 Nov 2020 • Paxton Turner, Jingbo Liu, Philippe Rigollet
Coresets have emerged as a powerful tool to summarize data by selecting a small subset of the original observations while retaining most of its information.
no code implementations • 8 May 2020 • Younhun Kim, Elchanan Mossel, Govind Ramnarayan, Paxton Turner
We introduce a new algorithm called {\sc Rec-Gen} for reconstructing the genealogy or \textit{pedigree} of an extant population purely from its genetic data.