193 citations
- Duke UniversityUS7 papers
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- Information and Mathematical Science and Bioinformatics (Japan)JP6 papers
- Japan Science and Technology AgencyJP5 papers
- Georgia Institute of TechnologyUS4 papers
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7 papers · 1 filter
Distributed linear regression by averaging
Edgar Dobriban, Yue Sheng
Distributed statistical learning problems arise commonly when dealing with large datasets. In this setup, datasets are partitioned over machines, which compute locally, and communi…
Differentially Private Change-Point Detection
Rachel Cummings, Sara Krehbiel, Yajun Mei +2
The change-point detection problem seeks to identify distributional changes at an unknown change-point k* in a stream of data. This problem appears in many important practical sett…
From Gauss to Kolmogorov: Localized Measures of Complexity for Ellipses
Yuting Wei, Billy Fang, Martin J. Wainwright
The Gaussian width is a fundamental quantity in probability, statistics and geometry, known to underlie the intrinsic difficulty of estimation and hypothesis testing. In this work,…
Holonomic gradient method for the distribution function of the largest root of a Wishart matrix
Hiroki Hashiguchi, Yasuhide Numata, Nobuki Takayama +1
We apply the holonomic gradient method introduced by Nakayama et al.(2011) to the evaluation of the exact distribution function of the largest root of a Wishart matrix, which invol…
Markov Bases for Typical Block Effect Models of Two-way Contingency Tables
Mitsunori Ogawa, Akimichi Takemura
Markov basis for statistical model of contingency tables gives a useful tool for performing the conditional test of the model via Markov chain Monte Carlo method. In this paper we…
Graver basis for an undirected graph and its application to testing the beta model of random graphs
Mitsunori Ogawa, Hisayuki Hara, Akimichi Takemura
In this paper we give an explicit and algorithmic description of Graver basis for the toric ideal associated with a simple undirected graph and apply the basis for testing the beta…