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Tselil Schramm

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titleconferencedate
Something about new average-case hard problems?Obfuscation2025-06-23
Tutorial-style exposition of the low-degree polynomials model uses the sum of squared low-degree Fourier/Hermite coefficients — called the low-degree…
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Some Easy Optimization Problems Have the Overlap-Gap PropertyJoint IFML/MPG Symposium 20242024-11-19
Shows that some easy problems like S–T shortest path in Gn,Θ(log n)/n nevertheless satisfy an ensemble OGP: correlated graph sequences force near-optimal paths…
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Higher-dimensional Expansion of Random Geometric ComplexesStructural Results 20232023-07-20
Shows that triangles in a random geometric graph on the D-sphere produce a sparse 2D spectral expander: pick C log n dimensions and edge probability p =…
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Computational Barriers to Estimation from Low-Degree PolynomialsRigorous Evidence for Information-Computation Trade-offs2021-09-13
Considers the spiked Gaussian matrix model with K = N^alpha nonzeros and SNR lambda = N^{beta-alpha}, and shows a concrete lower bound: against no…
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The Strongish Planted Clique Hypothesis and Its ConsequencesITCS 20212021-01-06
Postulates that for kappa = N^{0.1} planted clique cannot be solved in time N^{o(log N)} and uses a randomized graph product that samples N random L‑vertex…
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Graph Matching in Correlated Random Graphs via Small Subgraph StatisticsConcentration of Measure Phenomena2020-10-19
Gives a quasi-polynomial-time algorithm that recovers the planted permutation between two correlated G(n,p) graphs when gamma is constant (example gamma ≈…
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Pedagogical Talk: Frameworks for Information-Computation TradeoffsComputational Phase Transitions (Simons Institute, 2020)2020-09-21
Shows concrete reductions: if a degree-d sum-of-squares relaxation distinguishes a noise‑robust planted hypothesis, then an explicit degree‑O(d) spectral test…
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Max Cut with Linear Programs: Sherali-Adams Strikes BackHyperbolic Polynomials and Hyperbolic Programming2019-04-30
Claim: linear programs from Sherali‑Adams level D can certify max‑cut ≲ 1/2+ε on graphs whose random‑walk eigenvalues are ≤ 1/√δ by using random‑walk spider…
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Fast Spectral Algorithms from Sum-of-Squares AnalysesHierarchies, Extended Formulations and Matrix-Analytic Techniques (2017)2017-11-06
Shows how to turn a degree-6 SOS guarantee for robust order‑4 symmetric tensor decomposition into a near‑linear spectral procedure: assume the square‑reshaping…
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