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 | 60 | 2014 |
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 | 51 | 2017 |
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 | 41 | 2018 |
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 | 40 | 2021 |
Unmixing the mixed volume computation T Chen Discrete & Computational Geometry 62 (1), 55-86, 2019 | 27 | 2019 |
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 | 23 | 2014 |
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 | 21 | 2017 |
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 | 21 | 2015 |
Mixed cell computation in Hom4PS-3 T Chen, TL Lee, TY Li Journal of Symbolic Computation 79, 516-534, 2017 | 15 | 2017 |
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 | 14 | 2015 |
Mixed volume computation in parallel T Chen, TL Lee, TY Li | 14 | 2014 |
Solutions to systems of binomial equations T Chen, TY Li Annales Mathematicae Silesianae 28, 7-34, 2014 | 13 | 2014 |
Facets and facet subgraphs of symmetric edge polytopes T Chen, R Davis, E Korchevskaia Discrete Applied Mathematics 328, 139-153, 2023 | 12 | 2023 |
Directed acyclic decomposition of Kuramoto equations T Chen Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (9), 2019 | 11 | 2019 |
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 | 11 | 2016 |
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 | 7 | 2019 |
A toric deformation method for solving Kuramoto equations on cycle networks T Chen, R Davis Nonlinear Dynamics 109 (3), 2203-2222, 2022 | 5 | 2022 |
Spherical projective path tracking for homotopy continuation methods T Chen, TY Li Communications in Information and Systems 12 (3), 195-220, 2012 | 4 | 2012 |
Graph edge contraction and subdivisions for adjacency polytopes T Chen, E Korchevskaia arXiv preprint arXiv:1912.02841, 2019 | 3 | 2019 |
A toric deformation method for solving Kuramoto equations T Chen, R Davis arXiv preprint arXiv:1810.05690, 2018 | 3 | 2018 |