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titleconferencedate
Average-case Complexity for Polynomials, and All ThatLower Bounds, Learning, and Average-Case Complexity2023-02-13
Survey of concrete advances and limits: proves an explicit counterexample to the CHLLZ conjecture by showing TRIBES DNF retains large local correlation after…
Talk on
Mixing in non-quasirandom groupsITCS 20222022-01-31
Paper proves concrete communication bounds for the three-party product=1 problem in three non-quasirandom, non-almost-abelian families: affine groups get…
Talk
On Hardness Assumptions Needed for ``Extreme High-End'' PRGs and Fast DerandomizationITCS 20222022-01-31
Asks whether scaling the Impagliazzo–Wigderson assumption yields an extreme high-end PRG (seed R = (1+o(1))·L, output M ≈ 2^{1−o(1)·L}, total compute ≈…
Talk on
Bounded Independence Plus Noise, and the Communication Complexity of DecodingInteractive Complexity 20182018-10-15
Proves that bounded-independence plus small-noise fools products of K functions once T is about the row length L, giving error exponentially small in T…
Talk
The Complexity of DistributionsBoolean Devices 20182018-09-10
Characterization: any AC0 sampler whose output has min-entropy k > ~sqrt(n) is a convex combination of bit-block sources, so samplable distributions reduce to…
Talk
3SUM, 3XOR, TrianglesComputational Complexity of Low-Polynomial Time Problems (Simons Institute workshop, 2015)2015-12-08
Shows a two-way quantitative reduction: if 3SUM runs in n^{1+ε} then triangle listing on m-edge graphs runs in about m^{4/3 - Θ(ε)}, and conversely Patrascu’s…
Talk
Local ReductionsConnections Between Algorithm Design and Complexity Theory2015-09-28
Proves a concrete reduction from a time-t computation to 3SAT formulas of quasi-linear size whose clause for index i is computable by a function depending on…
Talk
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