no code implementations • 12 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.
no code implementations • 2 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.
no code implementations • 25 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.
no code implementations • 20 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.