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20242026
most citedGreedy Learning to Optimize with Convergence Guarantees

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math.OC20261 cited

Greedy Learning to Optimize with Convergence Guarantees

Patrick Fahy, Mohammad Golbabaee, Matthias J. Ehrhardt

Learning to optimize (L2O) is an approach that leverages training data to accelerate the solution of optimization problems. Many approaches use unrolling to parametrize the update…

math.OC2025

Bilevel Learning via Inexact Stochastic Gradient Descent

Mohammad Sadegh Salehi, Subhadip Mukherjee, Lindon Roberts +1

Bilevel optimization is a central tool in machine learning for high-dimensional hyperparameter tuning. Its applications are vast; for instance, in imaging it can be used for learni…

math.OC2025

A primal-dual algorithm for image reconstruction with input-convex neural network regularizers

Matthias J. Ehrhardt, Subhadip Mukherjee, Hok Shing Wong

We address the optimization problem in a data-driven variational reconstruction framework, where the regularizer is parameterized by an input-convex neural network (ICNN). While gr…

math.OC2025

Efficient gradient-based methods for bilevel learning via recycling Krylov subspaces

Matthias J. Ehrhardt, Silvia Gazzola, Sebastian J. Scott

Many optimization problems require hyperparameters, i.e., parameters that must be pre-specified in advance, such as regularization parameters and parametric regularizers in variati…

math.OC2025

An Adaptively Inexact Method for Bilevel Learning Using Primal-Dual Style Differentiation

Lea Bogensperger, Matthias J. Ehrhardt, Thomas Pock +2

We consider a bilevel learning framework for learning linear operators. In this framework, the learnable parameters are optimized via a loss function that also depends on the minim…

math.OC2025

Complex extension of optical flow and its practical evaluation for undersampled dynamic MRI

Matthias J. Ehrhardt, Marco Mauritz

Reconstructing high-quality images from undersampled dynamic MRI data is a challenging task and important for the success of this imaging modality. To remedy the naturally occurrin…