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Cole Franks
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Towards a theory of non-commutative optimization: Geodesic 1st and 2nd order methods for moment maps and polytopes
P Bürgisser, C Franks, A Garg, R Oliveira, M Walter, A Wigderson
2019 IEEE 60th Annual Symposium on Foundations of Computer Science (FOCS …, 2019
662019
Efficient algorithms for tensor scaling, quantum marginals, and moment polytopes
P Bürgisser, C Franks, A Garg, R Oliveira, M Walter, A Wigderson
2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS …, 2018
512018
On the discrepancy of random matrices with many columns
C Franks, M Saks
Random Structures & Algorithms 57 (1), 64-96, 2020
172020
Operator scaling with specified marginals
C Franks
Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing …, 2018
172018
Near optimal sample complexity for matrix and tensor normal models via geodesic convexity
C Franks, R Oliveira, A Ramachandran, M Walter
arXiv preprint arXiv:2110.07583, 2021
122021
On the structure group of a decomposable model space
C Dunn, C Franks, J Palmer
Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 56 …, 2015
112015
Barriers for recent methods in geodesic optimization
C Franks, P Reichenbach
arXiv preprint arXiv:2102.06652, 2021
82021
A simplified disproof of Beck’s three permutations conjecture and an application to root-mean-squared discrepancy
C Franks
Combinatorics, Probability and Computing 30 (3), 398-411, 2021
72021
Minimal length in an orbit closure as a semiclassical limit
C Franks, M Walter
arXiv preprint arXiv:2004.14872, 2020
52020
Shrunk subspaces via operator Sinkhorn iteration
C Franks, T Soma, MX Goemans
Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms …, 2023
32023
The Δ2 conjecture holds for graphs of small order
C Franks
Involve, a Journal of Mathematics 8 (4), 541-549, 2015
32015
Upper and lower bounds for the iterates of order-preserving homogeneous maps on cones
P Chodrow, C Franks, B Lins
Linear Algebra and its Applications 439 (4), 999-1005, 2013
32013
On the Structure Groups of Decomposable Algebraic Curvature Tensors
C Franks
CSUSB REU Program, 2011
12011
Towards a theory of non-commutative optimization: geodesic
P Bürgisser, C Franks, A Garg, R Oliveira, M Walter, A Wigderson
arXiv preprint arXiv:1910.12375, 2019
2019
On the Discrepancy of Random Matrices with Many
C Franks, M Saks
2018
Graph Labeling with Distance Conditions and the Delta Squared Conjecture
C Franks
arXiv preprint arXiv:1309.0259, 2013
2013
Efficient algorithms for tensor scaling, quantum marginals, and moment polytopes
C Franks, P Bürgisser, A Garg, R Oliveira, M Walter, A Wigderson
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