Accelerated gradient descent via long steps B Grimmer, K Shu, AL Wang
arXiv preprint arXiv:2309.09961, 2023
21 2023 Syntactic structures and code parameters K Shu, M Marcolli
Mathematics in Computer Science 11, 79-90, 2017
14 2017 Syntactic phylogenetic trees K Shu, S Aziz, VL Huynh, D Warrick, M Marcolli
Foundations of Mathematics and Physics One Century After Hilbert: New …, 2018
13 2018 Hyperbolic Relaxation of -Locally Positive Semidefinite Matrices G Blekherman, SS Dey, K Shu, S Sun
SIAM Journal on Optimization 32 (2), 470-490, 2022
12 2022 Accelerated objective gap and gradient norm convergence for gradient descent via long steps B Grimmer, K Shu, AL Wang
arXiv preprint arXiv:2403.14045, 2024
9 2024 Linear principal minor polynomials: hyperbolic determinantal inequalities and spectral containment G Blekherman, M Kummer, R Sanyal, K Shu, S Sun
International Mathematics Research Notices 2023 (24), 21346-21380, 2023
7 2023 Sums of squares and sparse semidefinite programming G Blekherman, K Shu
SIAM Journal on Applied Algebra and Geometry 5 (4), 651-674, 2021
5 2021 Phylogenetics of Indo-European language families via an algebro-geometric analysis of their syntactic structures K Shu, A Ortegaray, R Berwick, M Marcolli
arXiv preprint arXiv:1712.01719, 2017
5 2017 A strengthened conjecture on the minimax optimal constant stepsize for gradient descent B Grimmer, K Shu, AL Wang
arXiv preprint arXiv:2407.11739, 2024
4 2024 Composing optimized stepsize schedules for gradient descent B Grimmer, K Shu, AL Wang
arXiv preprint arXiv:2410.16249, 2024
3 2024 Phylogenetics of indo-european language families via an algebro-geometric analysis of their syntactic structures K Shu, A Ortegaray, RC Berwick, M Marcolli
Mathematics in Computer Science 15, 803-857, 2021
2 2021 Symmetric hyperbolic polynomials G Blekherman, J Lindberg, K Shu
Journal of Pure and Applied Algebra 229 (2), 107869, 2025
1 2025 Hidden convexity, optimization, and algorithms on rotation matrices A Ramachandran, K Shu, AL Wang
Mathematics of Operations Research, 2024
1 2024 Quadratic Programming with Sparsity Constraints via Polynomial Roots K Shu
arXiv preprint arXiv:2208.11143, 2022
1 2022 Approximate PSD-Completion for Generalized Chordal Graphs K Shu
arXiv preprint arXiv:2107.11436, 2021
1 2021 Extreme Nonnegative Quadratics over Stanley Reisner Varieties K Shu
arXiv preprint arXiv:2106.13894, 2021
1 2021 Beyond Minimax Optimality: A Subgame Perfect Gradient Method B Grimmer, K Shu, AL Wang
arXiv preprint arXiv:2412.06731, 2024
2024 ALGEBRAIC METHODS IN OPTIMIZATION K Shu
Georgia Institute of Technology, 2024
2024 On the computational equivalence of co-NP refutations of a matrix being a P-matrix S Gordon, K Shu
arXiv preprint arXiv:2110.05644, 2021
2021 Causal Channels K Shu
arXiv preprint arXiv:2103.02834, 2021
2021