Works (7)

2017 journal article

Completion of tree metrics and rank 2 matrices

LINEAR ALGEBRA AND ITS APPLICATIONS, 533, 1–13.

By: D. Bernstein

author keywords: Low-rank matrix completion; Algebraic matroids; Tropical geometry; Tree-metric completion
Source: Web Of Science
Added: August 6, 2018

2017 journal article

L-INFINITY OPTIMIZATION TO LINEAR SPACES AND PHYLOGENETIC TREES

SIAM JOURNAL ON DISCRETE MATHEMATICS, 31(2), 875–889.

By: D. Bernstein & C. Long

author keywords: distance-based methods; tree metric; ultrametric; subdominant ultrametric; oriented matroid; zonotope
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Normal Binary Hierarchical Models

EXPERIMENTAL MATHEMATICS, 26(2), 153–164.

By: D. Bernstein & S. Sullivant

author keywords: algebraic statistics; contingency tables; Hilbert basis; Groebner basis; combinatorics
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Unimodular binary hierarchical models

JOURNAL OF COMBINATORIAL THEORY SERIES B, 123, 97–125.

By: D. Bernstein & S. Sullivant

author keywords: Graver basis; Algebraic statistics; Log-linear models; Hierarchical models; Toric ideal
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Unimodular hierarchical model sand their Graver bases

Journal of Algebraic Statistics, 8(2), 29–43.

By: D. Bernstein & C. O'Neill

Source: NC State University Libraries
Added: August 6, 2018

2015 journal article

BOUNDS ON THE EXPECTED SIZE OF THE MAXIMUM AGREEMENT SUBTREE

SIAM JOURNAL ON DISCRETE MATHEMATICS, 29(4), 2065–2074.

By: D. Bernstein, L. Ho, C. Long, M. Steel, K. St John & S. Sullivant

author keywords: random trees; agreement subtrees; Yule-Harding distribution
Source: Web Of Science
Added: August 6, 2018

2015 journal article

On three sets with nondecreasing diameter

DISCRETE MATHEMATICS, 338(8), 1328–1344.

By: D. Bernstein, D. Grynkiewicz* & C. Yerger*

author keywords: Monochromatic; Ramsey; Erdos-Ginzburg-Ziv; Diameter; Integer; Nondecreasing; m-set
Source: Web Of Science
Added: August 6, 2018