Cole Franks

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All published works

Action	Title	Year	Authors
+ PDF Chat	Shrunk subspaces via operator Sinkhorn iteration	2023	Cole Franks Tasuku Soma Michel X. Goemans
+	iPCA and stability of star quivers	2023	Cole Franks Visu Makam
+	Shrunk subspaces via operator Sinkhorn iteration	2022	Cole Franks Tasuku Soma Michel X. Goemans
+	Near optimal sample complexity for matrix and tensor normal models via geodesic convexity.	2021	Cole Franks Rafael Oliveira Akshay Ramachandran Michael Walter
+	Barriers for recent methods in geodesic optimization	2021	Cole Franks Philipp Reichenbach
+	Near optimal sample complexity for matrix and tensor normal models via geodesic convexity	2021	Cole Franks Rafael Oliveira Akshay Ramachandran Michael Walter
+ PDF Chat	A simplified disproof of Beck’s three permutations conjecture and an application to root-mean-squared discrepancy	2020	Cole Franks
+	Minimal length in an orbit closure as a semiclassical limit	2020	Cole Franks Michael Walter
+ PDF Chat	On the discrepancy of random matrices with many columns	2020	Cole Franks Michael Saks
+	Rigorous Guarantees for Tyler's M-estimator via quantum expansion	2020	Cole Franks Ankur Moitra
+	Rigorous Guarantees for Tyler's M-estimator via quantum expansion	2020	Cole Franks Ankur Moitra
+	Minimal length in an orbit closure as a semiclassical limit	2020	Cole Franks Michael Walter
+ PDF Chat	Towards a Theory of Non-Commutative Optimization: Geodesic 1st and 2nd Order Methods for Moment Maps and Polytopes	2019	Peter Bürgisser Cole Franks Ankit Garg Rafael Oliveira Michael Walter Avi Wigderson
+	A simplified disproof of Beck's three permutations conjecture and an application to root-mean-squared discrepancy	2018	Cole Franks
+ PDF Chat	Efficient Algorithms for Tensor Scaling, Quantum Marginals, and Moment Polytopes	2018	Peter Bürgisser Cole Franks Ankit Garg Rafael Oliveira Michael Walter Avi Wigderson
+	On the Discrepancy of Random Matrices with Many Columns.	2018	Cole Franks Michael Saks
+ PDF Chat	Operator scaling with specified marginals	2018	Cole Franks
+	Operator scaling with specified marginals	2018	Cole Franks
+	A simplified disproof of Beck's three permutations conjecture and an application to root-mean-squared discrepancy	2018	Cole Franks
+	On the Discrepancy of Random Matrices with Many Columns	2018	Cole Franks Michael J. Saks
+	Operator scaling with specified marginals	2018	Cole Franks
+ PDF Chat	The Δ<sup>2</sup>conjecture holds for graphs of small order	2015	Cole Franks
+ PDF Chat	On the structure group of a decomposable model space	2013	Corey Dunn Cole Franks Joseph Palmer
+	Graph Labeling with Distance Conditions and the Delta Squared Conjecture	2013	Cole Franks
+	Upper and lower bounds for the iterates of order-preserving homogeneous maps on cones	2012	Philip S. Chodrow Cole Franks Brian Lins
+	Upper and lower bounds for the iterates of order-preserving homogeneous maps on cones	2012	Philip S. Chodrow Cole Franks Brian Lins
+	Upper and lower bounds for the iterates of order-preserving homogeneous maps on cones	2012	Philip S. Chodrow Cole Franks Brian Lins
+	On the structure group of a decomposable model space	2011	Corey Dunn Cole Franks Joseph Palmer
+	On the structure group of a decomposable model space	2011	Corey Dunn Cole Franks Joseph W. Palmer

Common Coauthors

Coauthor	Papers Together
Michael Walter	4
Corey Dunn	3
Philip S. Chodrow	3
Brian Lins	3
Ankit Garg	2
Peter Bürgisser	2
Michael Saks	2
Avi Wigderson	2
Michel X. Goemans	2
Rafael Oliveira	2
Tasuku Soma	2
Akshay Ramachandran	2
Ankur Moitra	2
Joseph Palmer	2
Michael Walter	2
Visu Makam	1
Rafael Oliveira	1
Rafael Oliveira	1
Joseph W. Palmer	1
Philipp Reichenbach	1
Michael J. Saks	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Classical complexity and quantum entanglement	2004	Leonid Gurvits	6
+ PDF Chat	Operator scaling via geodesically convex optimization, invariant theory and polynomial identity testing	2018	Zeyuan Allen-Zhu Ankit Garg Yuanzhi Li Rafael Oliveira Avi Wigderson	4
+ PDF Chat	Efficient Algorithms for Tensor Scaling, Quantum Marginals, and Moment Polytopes	2018	Peter Bürgisser Cole Franks Ankit Garg Rafael Oliveira Michael Walter Avi Wigderson	4
+	Alternating Minimization, Scaling Algorithms, and the Null-Cone Problem from Invariant Theory	2018	Peter Bürgisser Ankit Garg Rafael Oliveira Michael Walter Avi Wigderson	4
+ PDF Chat	Membership in Moment Polytopes is in NP and coNP	2017	Peter Bürgisser Matthias Christandl Ketan Mulmuley Michael Walter	4
+	A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents	1998	Nathan Linial Alex Samorodnitsky Avi Wigderson	4
+	Discrepancy of Set-systems and Matrices	1986	László Lovász J. Spencer K. Vesztergombi	3
+	Quantum marginal problem and representations of the symmetric group	2004	Alexander A. Klyachko	3
+ PDF Chat	Invariant Theory and Scaling Algorithms for Maximum Likelihood Estimation	2021	Carlos Améndola Kathlén Kohn Philipp Reichenbach Anna Seigal	3
+ PDF Chat	Constructive non-commutative rank computation is in deterministic polynomial time	2018	Gábor Ivanyos Youming Qiao K. V. Subrahmanyam	3
+ PDF Chat	Towards a Theory of Non-Commutative Optimization: Geodesic 1st and 2nd Order Methods for Moment Maps and Polytopes	2019	Peter Bürgisser Cole Franks Ankit Garg Rafael Oliveira Michael Walter Avi Wigderson	3
+	Combinatorial and algorithmic aspects of hyperbolic polynomials	2004	Leonid Gurvits	3
+ PDF Chat	Geometric complexity theory III: on deciding nonvanishing of a Littlewood–Richardson coefficient	2011	Ketan Mulmuley Hariharan Narayanan Milind Sohoni	3
+ PDF Chat	Entanglement Polytopes: Multiparticle Entanglement from Single-Particle Information	2013	Michael Walter Brent Doran David Groß Matthias Christandl	3
+	Computing Maximum Entropy Distributions Everywhere.	2017	Damian Straszak Nisheeth K. Vishnoi	3
+	Algorithms and Hardness for Robust Subspace Recovery	2012	Moritz Hardt Ankur Moitra	3
+	Rigorous Guarantees for Tyler's M-estimator via quantum expansion	2020	Cole Franks Ankur Moitra	3
+ PDF Chat	Stable bundles, representation theory and Hermitian operators	1998	Anton A. Klyachko	3
+	Convexity properties of the moment mapping. II	1984	Victor Guillemin S. Sternberg	3
+ PDF Chat	Eigenvalues, invariant factors, highest weights, and Schubert calculus	2000	William Fulton	3
+	Generalized plane wave manifolds	2005	Peter Gilkey Stana Nikčević	2
+ PDF Chat	On convexity, the Weyl group and the Iwasawa decomposition	1973	Bertram Kostant	2
+ PDF Chat	Inequalities for moment cones of finite-dimensional representations	2017	Michèle Vergne Michael Walter	2
+	Representation Theory: A First Course	1991	William Fulton	2
+ PDF Chat	Curvature Homogeneous Pseudo-Riemannian Manifolds which are not Locally Homogeneous	2007	Corey Dunn Peter Gilkey	2
+ PDF Chat	Explicit lower bounds via geometric complexity theory	2013	Peter Bürgisser Christian Ikenmeyer	2
+	Multipartite Quantum States and their Marginals	2014	Michael Walter	2
+ PDF Chat	The linear independence of sets of two and three canonical algebraic curvature tensors	2010	Alexander Diaz-Lopez Corey Dunn	2
+ PDF Chat	The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture	1999	Allen Knutson Terence Tao	2
+	Polynomial bounds for rings of invariants	2000	Harm Derksen	2
+	Convexity and Commuting Hamiltonians	1982	Michael Atiyah	2
+ PDF Chat	Quantum state transformations and the Schubert calculus	2004	Sumit Daftuar Patrick Hayden	2
+ PDF Chat	Deciding Positivity of Littlewood--Richardson Coefficients	2013	Peter Bürgisser Christian Ikenmeyer	2
+	The cycle time vector of D–A–D functions	1999	Eleni Katirtzoglou	2
+ PDF Chat	Beck's Three Permutations Conjecture: A Counterexample and Some Consequences	2012	Alantha Newman Ofer Neiman Aleksandar Nikolov	2
+	Curvature tensors in dimension four which do not belong to any curvature homogeneous space	1994	Oldřich Kowalski Friedbert Prüfer	2
+ PDF Chat	A New Family of Curvature Homogeneous Pseudo-Riemannian Manifolds	2009	Corey Dunn	2
+ PDF Chat	On vanishing of Kronecker coefficients	2017	Christian Ikenmeyer Ketan Mulmuley Michael Walter	2
+	Scalings of matrices which have prespecified row sums and column sums via optimization	1989	Uriel G. Rothblum Hans Schneider	2
+ PDF Chat	Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian manifolds	2003	Peter Gilkey S Nik evi	2
+ PDF Chat	MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS	1994	Alastair King	2
+	A counterexample to Beck's conjecture on the discrepancy of three permutations	2011	Alantha Newman Aleksandar Nikolov	2
+	Ten lectures on the probabilistic method	1987	Joel Spencer	2
+	Convexity properties of the moment mapping, III	1984	Frances Kirwan	2
+ PDF Chat	Nonzero Kronecker Coefficients and What They Tell us about Spectra	2007	Matthias Christandl Aram W. Harrow Graeme Mitchison	2
+	A basis that reduces to zero as many curvature components as possible	1991	R. Klinger	2
+ PDF Chat	Normal forms and entanglement measures for multipartite quantum states	2003	Frank Verstraete Jeroen Dehaene Bart De Moor	2
+	Cohomology of Quotients in Symplectic and Algebraic Geometry	1984	Frances Kirwan	2
+	Extension of order-preserving maps on a cone	2003	Andrew Burbanks Roger D. Nussbaum Colin Sparrow	2
+ PDF Chat	Eigenvalues of sums of Hermitian matrices	1962	Alfred Horn	2