Online Learning-to-Defer with Varying Experts
- URL: http://arxiv.org/abs/2605.12340v2
- Date: Wed, 20 May 2026 08:16:30 GMT
- Title: Online Learning-to-Defer with Varying Experts
- Abstract summary: We introduce the first online L2D algorithm for multiclass classification with bandit feedback and a dynamically varying pool of experts.<n>Our method achieves regret guarantees of $O((n+n_e)T2/3)$ in general and $O((n+n_e)sqrtT)$ under a low-noise condition.<n>Experiments on synthetic and real-world datasets demonstrate that our approach effectively extends standard Learning-to-Defer to settings with varying expert availability and reliability.
- Score: 6.097236291317658
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Learning-to-Defer (L2D) methods route each query either to a predictive model or to external experts. While existing work studies this problem in batch settings, real-world deployments require handling streaming data, changing expert availability, and shifting expert distribution. We introduce the first online L2D algorithm for multiclass classification with bandit feedback and a dynamically varying pool of experts. Our method achieves regret guarantees of $O((n+n_e)T^{2/3})$ in general and $O((n+n_e)\sqrt{T})$ under a low-noise condition, where $T$ is the time horizon, $n$ is the number of labels, and $n_e$ is the number of distinct experts observed across rounds. The analysis builds on novel $\mathcal{H}$-consistency bounds for the online framework, combined with first-order methods for online convex optimization. Experiments on synthetic and real-world datasets demonstrate that our approach effectively extends standard Learning-to-Defer to settings with varying expert availability and reliability.
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