
Computational phase transitions in sparse planted problems?
In recent times the cavity method, a statistical physicsinspired heuris...
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List Decodable Subspace Recovery
Learning from data in the presence of outliers is a fundamental problem ...
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Algorithms for HeavyTailed Statistics: Regression, Covariance Estimation, and Beyond
We study efficient algorithms for linear regression and covariance estim...
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Extended Formulation Lower Bounds for Refuting Random CSPs
Random constraint satisfaction problems (CSPs) such as random 3SAT are ...
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Local Statistics, Semidefinite Programming, and Community Detection
We propose a new hierarchy of semidefinite programming relaxations for i...
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Lifting SumofSquares Lower Bounds: Degree2 to Degree4
The degree4 SumofSquares (SoS) SDP relaxation is a powerful algorithm...
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List Decodable Learning via Sum of Squares
In the listdecodable learning setup, an overwhelming majority (say a 1...
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Highdimensional estimation via sumofsquares proofs
Estimation is the computational task of recovering a hidden parameter x ...
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Exponential lower bounds on spectrahedral representations of hyperbolicity cones
The Generalized Lax Conjecture asks whether every hyperbolicity cone is ...
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The power of sumofsquares for detecting hidden structures
We study planted problemsfinding hidden structures in random noisy in...
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Dimension Reduction for Polynomials over Gaussian Space and Applications
We introduce a new technique for reducing the dimension of the ambient s...
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Agnostic Learning of Monomials by Halfspaces is Hard
We prove the following strong hardness result for learning: Given a dist...
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Prasad Raghavendra
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