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This paper advances low-budget active learning by applying entropic optimal transport via the Sinkhorn divergence to select high-value data coresets in feature spaces. The approach enables dimension-free sample complexity bounds and computationally efficient gradient evaluations, significantly improving model training efficiency where expert labeling is costly. Experiments confirm that this method outperforms existing heuristics on both standard image benchmarks and specialized medical datasets.
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Low-Budget Active Learning through Entropic Optimal Transport

arXiv2 min read

arXiv:2610.01199v1 Announce Type: new Abstract: We consider low-budget active learning, which consists of selecting a limited number of points, the coreset, such that a model can be trained to high accuracy on the selection only. This problem is particularly relevant in contexts where labeling requires costly expert intervention, as in medical applications. We leverage features extracted from a pretrained self-supervised model to represent the data, and perform coreset selection directly in this feature space. In this paper, we use entropic optimal transport, specifically the Sinkhorn divergence, as the coreset selection criterion, which first allows us to get dimension-free sample complexity results, and second admits computationally efficient gradient evaluations. This opens the way to using gradient-based algorithms to rapidly compute solution candidates, further improved by a swap-based local search, with guarantees on the solution quality. Experiments on image benchmarks and medical datasets show that our method outperforms state-of-the-art heuristics in low-budget settings.

Abstract:We consider low-budget active learning, which consists of selecting a limited number of points, the coreset, such that a model can be trained to high accuracy on the selection only. This problem is particularly relevant in contexts where labeling requires costly expert intervention, as in medical applications. We leverage features extracted from a pretrained self-supervised model to represent the data, and perform coreset selection directly in this feature space. In this paper, we use entropic optimal transport, specifically the Sinkhorn divergence, as the coreset selection criterion, which first allows us to get dimension-free sample complexity results, and second admits computationally efficient gradient evaluations. This opens the way to using gradient-based algorithms to rapidly compute solution candidates, further improved by a swap-based local search, with guarantees on the solution quality. Experiments on image benchmarks and medical datasets show that our method outperforms state-of-the-art heuristics in low-budget settings.

Machine Learning (cs.LG); Optimization and Control (math.OC)

arXiv:2610.01199 [cs.LG]

(or arXiv:2610.01199v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2610.01199 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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