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Daniel Irving Bernstein
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Ordering-based causal structure learning in the presence of latent variables
D Bernstein, B Saeed, C Squires, C Uhler
International conference on artificial intelligence and statistics, 4098-4108, 2020
572020
Completion of tree metrics and rank 2 matrices
DI Bernstein
Linear Algebra and its Applications 533, 1-13, 2017
302017
Bounds on the expected size of the maximum agreement subtree
DI Bernstein, LS Tung Ho, C Long, M Steel, KS John, S Sullivant
SIAM Journal on Discrete Mathematics 29 (4), 2065-2074, 2015
192015
Typical and generic ranks in matrix completion
DI Bernstein, G Blekherman, R Sinn
Linear Algebra and its Applications 585, 71-104, 2020
162020
Maximum likelihood thresholds via graph rigidity
DI Bernstein, S Dewar, SJ Gortler, A Nixon, M Sitharam, L Theran
The Annals of Applied Probability 34 (3), 3288-3319, 2024
132024
Unimodular binary hierarchical models
DI Bernstein, S Sullivant
Journal of Combinatorial Theory, Series B 123, 97-125, 2017
122017
Generic symmetry-forced infinitesimal rigidity: translations and rotations
DI Bernstein
SIAM Journal on Applied Algebra and Geometry 6 (2), 190-215, 2022
102022
L-infinity optimization to Bergman fans of matroids with an application to phylogenetics
DI Bernstein
SIAM Journal on Discrete Mathematics 34 (1), 701-720, 2020
102020
Normal binary hierarchical models
DI Bernstein, S Sullivant
Experimental Mathematics 26 (2), 153-164, 2017
82017
L-infinity optimization to linear spaces and phylogenetic trees
DI Bernstein, C Long
SIAM Journal on Discrete Mathematics 31 (2), 875-889, 2017
82017
Typical ranks in symmetric matrix completion
DI Bernstein, G Blekherman, K Lee
Journal of Pure and Applied Algebra 225 (7), 106603, 2021
62021
The Tropical Cayley--Menger Variety
DI Bernstein, R Krone
SIAM Journal on Discrete Mathematics 33 (3), 1725-1742, 2019
62019
Algorithmic definitions of singular functions
D Bernstein
Davidson College, Davidson, 2013
62013
Unimodular hierarchical models and their Graver bases
DI Bernstein, C O'Neill
arXiv preprint arXiv:1704.09018, 2017
52017
Computing maximum likelihood thresholds using graph rigidity
DI Bernstein, S Dewar, SJ Gortler, A Nixon, M Sitharam, L Theran
arXiv preprint arXiv:2210.11081, 2022
42022
On three sets with nondecreasing diameter
DI Bernstein, DJ Grynkiewicz, C Yerger
Discrete Mathematics 338 (8), 1328-1344, 2015
42015
The algebraic matroid of the finite unit norm tight frame (funtf) variety
DI Bernstein, C Farnsworth, JI Rodriguez
Journal of Pure and Applied Algebra 224 (8), 106351, 2020
32020
Matroids in Algebraic Statistics
DI Bernstein
North Carolina State University, 2018
32018
On Alignment in Deep Linear Neural Networks
A Radhakrishnan, E Nichani, D Bernstein, C Uhler
arXiv preprint arXiv:2003.06340, 2020
22020
Supplementary materials
DI Bernstein, C O’Neil
22017
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Articles 1–20