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Pravesh K. Kothari

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Lightning Talks!The Role of TCS in Modern Machine Learning2026-05-26
A rapid-fire set of concrete results: an online load‑balancing scheme learns from a 1% sample and achieves a 1+ε load guarantee (using fractional relaxations…
Lightning on
Smoothed CSP Refutation Is As Easy As Random, For Both Efficient Algorithms And CertificatesRigorous Evidence for Information-Computation Trade-offs2021-09-13
Shows that starting from any worst-case clause hypergraph and flipping each literal with small constant probability (e.g. 0.01) yields the same density–time…
Talk on
The Sum-of-Squares Approach to Clustering Non-Spherical Gaussian MixturesComputational Phase Transitions (Simons Institute, 2020)2020-09-21
Polynomial-time algorithm uses the Sum-of-Squares framework to robustly cluster non‑spherical k‑Gaussian mixtures with adversarially corrupted epsilon fraction…
Talk on
Quantum Entanglement, Sum of Squares, and the Log Rank ConjectureHierarchies, Extended Formulations and Matrix-Analytic Techniques (2017)2017-11-06
Given a basis for an n×n matrix subspace with a promised rank‑one element (wanting ≈1% Frobenius error), the result gives a concrete algorithm: a…
Talk
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