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Author

Sloan Nietert

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Preprint Nov 2026

An Accelerated Proximal Gradient Method for Bures-Wasserstein Space

We study composite optimization over the Bures--Wasserstein (BW) space of Gaussian measures. Our main observation is that a useful class of BW problems can be lifted into the Euclidean space of affine transport maps, such that the lifted problems can be solved efficiently using accelerated proximal gradient methods. Fo...

Jakob Nylof, Sloan Nietert, Julien Pallage et al. · 0 citations
#machine learning Preprint Oct 2026

Regret-Optimal Wasserstein-Robust Linear Regression

Distributionally robust optimization (DRO) minimizes worst-case risk under distributional uncertainty, but its decisions can be suboptimal in terms of their excess risk, or regret. We study this gap for multivariate least-squares regression, assuming that the observed source law and unknown target law differ by an adve...

Sloan Nietert, Daniel Kuhn · 0 citations

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