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Vijay Bhattiprolu

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Separating the NP-Hardness of the Grothendieck problem from the Little-Grothendieck problemITCS 20222022-01-31
Proves NP-hardness of approximating the (bilinear) Grothendieck problem strictly beyond the PSD bound: shows no polytime algorithm achieves better than π/2 +…
Talk
Weak Decoupling, Polynomial Folds, and Approximate Optimization over the SphereHierarchies, Extended Formulations and Matrix-Analytic Techniques (2017)2017-11-06
Claims a concrete tradeoff: powering a degree-D polynomial to degree Q and using SOS yields an n^{Q} time algorithm that achieves roughly an n / Q^{Q/2}…
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