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Aaron Potechin

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Almost-Orthogonal Bases for Inner Product PolynomialsITCS 20222022-01-31
Provides an explicit almost‑orthogonal polynomial basis for orthogonally invariant functions of m Gaussian or spherical or Boolean vectors, with degree‑D basis…
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Sum Of Squares Lower Bounds Versus Low-Degree Polynomial Lower BoundsRigorous Evidence for Information-Computation Trade-offs2021-09-13
Compares low-degree polynomials and Sum-of-Squares via pseudo-calibration and gives a concrete inequality: a low-degree polynomial with mean C on the planted…
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Pseudocalibration and SoS Lower BoundsHierarchies, Extended Formulations and Matrix-Analytic Techniques (2017)2017-11-06
A mechanical construction called pseudo-calibration projects the relative-density function of a planted distribution to a low-degree projection in the graph…
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