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David Steurer

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From Proofs to Algorithms for Machine Learning ProblemsHierarchies, Extended Formulations and Matrix-Analytic Techniques (2017)2017-11-06
Claims that many ML estimation gaps close when identifiability admits a concrete low-degree proof: sum-of-squares proofs capture the certificate, yield convex…
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Average-Case Overcomplete Tensor DecompositionRandom Instances and Phase Transitions (Simons Institute, 2016)2016-05-02
Presents a concrete algorithmic path: use sum-of-squares pseudo-distributions to “lift third to sixth moments”, enforce a spectral-norm/maximum-entropy…
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The Edge of Tractability: Unique Games vs Sum of SquaresSemidefinite Optimization, Approximation and Applications 20142014-09-24
Argues that the sum-of-squares meta-algorithm formally captures the strongest known approximation methods, gives certificates (low-degree SOS proofs) that rule…
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