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08/18/2023
Characterizing Direct Product Testing via Coboundary Expansion
A d-dimensional simplicial complex X is said to support a direct product...
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04/14/2023
Solving Unique Games over Globally Hypercontractive Graphs
We study the complexity of affine Unique-Games (UG) over globally hyperc...
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07/30/2022
Polynomial-Time Power-Sum Decomposition of Polynomials
We give efficient algorithms for finding power-sum decomposition of an i...
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11/17/2021
Hypercontractivity on High Dimensional Expanders: a Local-to-Global Approach for Higher Moments
Hypercontractivity is one of the most powerful tools in Boolean function...
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06/24/2021
Optimal Fine-grained Hardness of Approximation of Linear Equations
The problem of solving linear systems is one of the most fundamental pro...
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06/17/2020
Playing Unique Games on Certified Small-Set Expanders
We give an algorithm for solving unique games (UG) instances whose const...
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07/18/2019
Imperfect Gaps in Gap-ETH and PCPs
We study the role of perfect completeness in probabilistically checkable...
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12/12/2018
Thwarting Adversarial Examples: An L_0-RobustSparse Fourier Transform
We give a new algorithm for approximating the Discrete Fourier transform...
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08/27/2018