Search Results for author: Kabir Aladin Verchand

Found 2 papers, 0 papers with code

Low-degree phase transitions for detecting a planted clique in sublinear time

no code implementations8 Feb 2024 Jay Mardia, Kabir Aladin Verchand, Alexander S. Wein

Using (a bound on) the conditional low-degree likelihood ratio as a potential function, we show that for every non-adaptive query pattern, there is a highly structured query pattern of the same size that is at least as effective.

Hyperparameter tuning via trajectory predictions: Stochastic prox-linear methods in matrix sensing

no code implementations2 Feb 2024 Mengqi Lou, Kabir Aladin Verchand, Ashwin Pananjady

Motivated by the desire to understand stochastic algorithms for nonconvex optimization that are robust to their hyperparameter choices, we analyze a mini-batched prox-linear iterative algorithm for the problem of recovering an unknown rank-1 matrix from rank-1 Gaussian measurements corrupted by noise.

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