Author

Stanislas Ducotterd

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#machine learning Preprint Oct 2026

Guidance Without Labels: Flow Matching from Coupled Gaussian Mixtures

Flow matching models are typically trained to transport a Gaussian source to the data distribution, with source and target samples paired independently. We replace the source with a fitted Gaussian mixture and couple each data point to a mixture component through an entropic optimal transport problem. We show that the...

Stanislas Ducotterd, Bassam El Rawas, Michael Unser · 0 citations

Aug 2026

Data-Driven Regularization with Weak Convexity for Robust Image Reconstruction

Abstract. We describe a practical framework for data-driven regularization in image reconstruction. It combines model expressivity with the guarantees of variational methods. The approach is based on a weakly convex ridge regularizer, defined as the composition of a convolutional filter bank and pointwise potentials c...

Alexis Goujon, S. Neumayer, Stanislas Ducotterd et al. · SIAM Review · 0 citations