45 citations · 50 across the 8 of their papers we have counts for
8 papers
Model-adapted Fourier sampling for generative compressed sensing
Aaron Berk, Simone Brugiapaglia, Yaniv Plan +3
We study generative compressed sensing when the measurement matrix is randomly subsampled from a unitary matrix (with the DFT as an important special case). It was recently shown t…
Square Root LASSO: Well-posedness, Lipschitz stability and the tuning trade off
Aaron Berk, Simone Brugiapaglia, Tim Hoheisel
This paper studies well-posedness and parameter sensitivity of the Square Root LASSO (SR-LASSO), an optimization model for recovering sparse solutions to linear inverse problems in…
Learning from few examples: Classifying sex from retinal images via deep learning
Aaron Berk, Gulcenur Ozturan, Parsa Delavari +3
Deep learning has seen tremendous interest in medical imaging, particularly in the use of convolutional neural networks (CNNs) for developing automated diagnostic tools. The facili…
A coherence parameter characterizing generative compressed sensing with Fourier measurements
Aaron Berk, Simone Brugiapaglia, Babhru Joshi +3
In Bora et al. (2017), a mathematical framework was developed for compressed sensing guarantees in the setting where the measurement matrix is Gaussian and the signal structure is…
LASSO reloaded: a variational analysis perspective with applications to compressed sensing
Aaron Berk, Simone Brugiapaglia, Tim Hoheisel
This paper provides a variational analysis of the unconstrained formulation of the LASSO problem, ubiquitous in statistical learning, signal processing, and inverse problems. In pa…
On the best choice of Lasso program given data parameters
Aaron Berk, Yaniv Plan, Özgür Yilmaz
Generalized compressed sensing (GCS) is a paradigm in which a structured high-dimensional signal may be recovered from random, under-determined, and corrupted linear measurements.…
Deep generative demixing: Recovering Lipschitz signals from noisy subgaussian mixtures
Aaron Berk
Generative neural networks (GNNs) have gained renown for efficaciously capturing intrinsic low-dimensional structure in natural images. Here, we investigate the subgaussian demixin…
Sensitivity of minimization to parameter choice
Aaron Berk, Yaniv Plan, Özgür Yilmaz
The use of generalized LASSO is a common technique for recovery of structured high-dimensional signals. Each generalized LASSO program has a governing parameter whose optimal value…