Search Results for author: Mengqi Lou

Found 4 papers, 0 papers with code

Efficient reductions between some statistical models

no code implementations12 Feb 2024 Mengqi Lou, Guy Bresler, Ashwin Pananjady

We study the problem of approximately transforming a sample from a source statistical model to a sample from a target statistical model without knowing the parameters of the source model, and construct several computationally efficient such reductions between statistical experiments.

Denoising Retrieval

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.

Do algorithms and barriers for sparse principal component analysis extend to other structured settings?

no code implementations25 Jul 2023 Guanyi Wang, Mengqi Lou, Ashwin Pananjady

We study a principal component analysis problem under the spiked Wishart model in which the structure in the signal is captured by a class of union-of-subspace models.

Alternating minimization for generalized rank one matrix sensing: Sharp predictions from a random initialization

no code implementations20 Jul 2022 Kabir Aladin Chandrasekher, Mengqi Lou, Ashwin Pananjady

Considering two prototypical choices for the nonlinearity, we study the convergence properties of a natural alternating update rule for this nonconvex optimization problem starting from a random initialization.

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