Online Learning-to-Defer with Varying Experts

Fuente: arXiv
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Autori principali: Duy, Dang Hoang, Montreuil, Yannis, Meyer, Maxime, Carlier, Axel, Ng, Lai Xing, Ooi, Wei Tsang
Natura: Preprint
Pubblicazione: 2026
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author Duy, Dang Hoang
Montreuil, Yannis
Meyer, Maxime
Carlier, Axel
Ng, Lai Xing
Ooi, Wei Tsang
author_facet Duy, Dang Hoang
Montreuil, Yannis
Meyer, Maxime
Carlier, Axel
Ng, Lai Xing
Ooi, Wei Tsang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_12340
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Online Learning-to-Defer with Varying Experts
Duy, Dang Hoang
Montreuil, Yannis
Meyer, Maxime
Carlier, Axel
Ng, Lai Xing
Ooi, Wei Tsang
Machine Learning
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.
title Online Learning-to-Defer with Varying Experts
topic Machine Learning
url https://arxiv.org/abs/2605.12340