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Tianran Chen
Tianran Chen
Auburn University at Montgomery
Verified email at nranchen.org - Homepage
Title
Cited by
Cited by
Year
Hom4PS-3: a parallel numerical solver for systems of polynomial equations based on polyhedral homotopy continuation methods
T Chen, TL Lee, TY Li
Mathematical Software–ICMS 2014: 4th International Congress, Seoul, South …, 2014
582014
On the network topology dependent solution count of the algebraic load flow equations
T Chen, D Mehta
IEEE Transactions on Power Systems 33 (2), 1451-1460, 2017
512017
Counting equilibria of the Kuramoto model using birationally invariant intersection index
T Chen, R Davis, D Mehta
SIAM Journal on Applied Algebra and Geometry 2 (4), 489-507, 2018
392018
The loss surface of deep linear networks viewed through the algebraic geometry lens
D Mehta, T Chen, T Tang, JD Hauenstein
IEEE Transactions on Pattern Analysis and Machine Intelligence 44 (9), 5664-5680, 2021
332021
Unmixing the mixed volume computation
T Chen
Discrete & Computational Geometry 62 (1), 55-86, 2019
232019
Communication: Newton homotopies for sampling stationary points of potential energy landscapes
D Mehta, T Chen, JD Hauenstein, DJ Wales
The Journal of chemical physics 141 (12), 2014
212014
Fixed points of belief propagation—an analysis via polynomial homotopy continuation
C Knoll, D Mehta, T Chen, F Pernkopf
IEEE Transactions on Pattern Analysis and Machine Intelligence 40 (9), 2124-2136, 2017
182017
Homotopy continuation method for solving systems of nonlinear and polynomial equations
T Chen, TY Li
Communications in Information and Systems 15 (2), 119-307, 2015
182015
Mixed cell computation in Hom4PS-3
T Chen, TL Lee, TY Li
Journal of Symbolic Computation 79, 516-534, 2017
142017
Mixed volume computation in parallel
T Chen, TL Lee, TY Li
142014
Exploring the potential energy landscape of the Thomson problem via Newton homotopies
D Mehta, T Chen, JWR Morgan, DJ Wales
The Journal of chemical physics 142 (19), 2015
132015
Solutions to systems of binomial equations
T Chen, TY Li
Annales Mathematicae Silesianae 28, 7-34, 2014
122014
Facets and facet subgraphs of symmetric edge polytopes
T Chen, R Davis, E Korchevskaia
Discrete Applied Mathematics 328, 139-153, 2023
112023
Directed acyclic decomposition of Kuramoto equations
T Chen
Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (9), 2019
112019
A network topology dependent upper bound on the number of equilibria of the Kuramoto model
T Chen, D Mehta, M Niemerg
arXiv preprint arXiv:1603.05905, 2016
112016
Three formulations of the Kuramoto model as a system of polynomial equations
T Chen, J Mareček, D Mehta, M Niemerg
2019 57th Annual Allerton Conference on Communication, Control, and …, 2019
72019
A toric deformation method for solving Kuramoto equations on cycle networks
T Chen, R Davis
Nonlinear Dynamics 109 (3), 2203-2222, 2022
42022
A toric deformation method for solving Kuramoto equations
T Chen, R Davis
arXiv preprint arXiv:1810.05690, 2018
42018
Spherical projective path tracking for homotopy continuation methods
T Chen, TY Li
Communications in Information and Systems 12 (3), 195-220, 2012
42012
Graph edge contraction and subdivisions for adjacency polytopes
T Chen, E Korchevskaia
arXiv preprint arXiv:1912.02841, 2019
32019
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