Carpentier Lab

University of Potsdam

Brandenburg (DE4) · Germany

ERC-funded
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Research focus

ERC Consolidator Grant · 2025

Statistical Optimality and Computational Efficiency: batch and sequential unsupervised learning under additional structure and sampling constraints

Unsupervised learning is a key problem of artificial intelligence, at the crossroad of statistics and machine learning. The aim is to infer patterns from unlabelled data, by providing learning algorithms that are computationally efficient - i.e. polynomial time - and statistically performant - i.e. minimising an error criterion - and by characterising the fundamental limits for learning. In the last decade, deep and important phenomena of statistical-computational trade-offs have been unveiled: for some canonical vanilla problems, it is now admitted that no algorithm is both statistically optimal and computationally efficient. However, and somewhat surprisingly, many extensions of these…

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