Efficient Algorithms for Tensor Scaling, Quantum Marginals, and Moment Polytopes. - Peter Bürgisser; Cole Franks; Ankit Garg; Rafael Mendes de Oliveira; Michael Walter 005; Avi Wigderson (FOCS, 2018)

Operator scaling with specified marginals. - Cole Franks (STOC, 2018)

Towards a Theory of Non-Commutative Optimization: Geodesic 1st and 2nd Order Methods for Moment Maps and Polytopes. - Peter Bürgisser; Cole Franks; Ankit Garg; Rafael Mendes de Oliveira; Michael Walter 005; Avi Wigderson (FOCS, 2019)

Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes. - Peter Bürgisser; Cole Franks; Ankit Garg; Rafael Mendes de Oliveira; Michael Walter 005; Avi Wigderson (CoRR, 2019)

Rigorous Guarantees for Tyler's M-Estimator via Quantum Expansion. - William Cole Franks; Ankur Moitra (COLT, 2020)

On the discrepancy of random matrices with many columns. - Cole Franks; Michael E. Saks (Random Struct. Algorithms, 2020)

Barriers for Recent Methods in Geodesic Optimization. - William Cole Franks; Philipp Reichenbach (CCC, 2021)

Near optimal sample complexity for matrix and tensor normal models via geodesic convexity. - Cole Franks; Rafael Mendes de Oliveira; Akshay Ramachandran; Michael Walter 005 (CoRR, 2021)

A simplified disproof of Beck's three permutations conjecture and an application to root-mean-squared discrepancy. - Cole Franks (Comb. Probab. Comput., 2021)

Shrunk subspaces via operator Sinkhorn iteration. - Cole Franks; Tasuku Soma; Michel X. Goemans (SODA, 2023)