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Existing Learning-to-Defer (L2D) frameworks are limited to single-expert deferral, forcing each query to rely on only one expert and preventing the use of collective expertise. We introduce the first framework for Top-$k$ Learning-to-Defer,…

Machine Learning · Computer Science 2026-05-29 Yannis Montreuil , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

We study the statistical properties of learning to defer (L2D) to multiple experts. In particular, we address the open problems of deriving a consistent surrogate loss, confidence calibration, and principled ensembling of experts. Firstly,…

Machine Learning · Statistics 2023-02-24 Rajeev Verma , Daniel Barrejón , Eric Nalisnick

The learning to defer (L2D) framework allows autonomous systems to be safe and robust by allocating difficult decisions to a human expert. All existing work on L2D assumes that each expert is well-identified, and if any expert were to…

Machine Learning · Computer Science 2024-05-14 Dharmesh Tailor , Aditya Patra , Rajeev Verma , Putra Manggala , Eric Nalisnick

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…

Machine Learning · Statistics 2026-05-29 Dang Hoang Duy , Yannis Montreuil , Maxime Meyer , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

Learning-to-Defer routes each input to the expert that minimizes expected cost, but it assumes that the information available to every expert is fixed at decision time. Many modern systems violate this assumption: after selecting an expert,…

Machine Learning · Statistics 2026-05-29 Yannis Montreuil , Leïna Montreuil , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

AI systems often struggle to provide reliable predictions across all inputs, motivating hybrid human-AI decision-making. Existing Learning to Defer (L2D) approaches address this by training models to selectively defer to human experts.…

Machine Learning · Computer Science 2026-03-31 Tim Bary , Benoît Macq , Louis Petit

Learning to Defer (L2D) enables a classifier to abstain from predictions and defer to an expert, and has recently been extended to multi-expert settings. In this work, we show that multi-expert L2D is fundamentally more challenging than the…

Machine Learning · Computer Science 2026-02-20 Shuqi Liu , Yuzhou Cao , Lei Feng , Bo An , Luke Ong

The Two-Stage Learning-to-Defer (L2D) framework has been extensively studied for classification and, more recently, regression tasks. However, many real-world applications require solving both tasks jointly in a multi-task setting. We…

Machine Learning · Statistics 2025-08-15 Yannis Montreuil , Shu Heng Yeo , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

We introduce the first one-stage Top-$k$ Learning-to-Defer framework, which unifies prediction and deferral by learning a shared score-based model that selects the $k$ most cost-effective entities-labels or experts-per input. While existing…

Machine Learning · Statistics 2025-10-14 Yannis Montreuil , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

Learning-to-Defer (L2D) enables hybrid decision-making by routing inputs either to a predictor or to external experts. While promising, L2D is highly vulnerable to adversarial perturbations, which can not only flip predictions but also…

Machine Learning · Statistics 2026-05-29 Yannis Montreuil , Letian Yu , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

Enabling machine learning classifiers to defer their decision to a downstream expert when the expert is more accurate will ensure improved safety and performance. This objective can be achieved with the learning-to-defer framework which…

Machine Learning · Computer Science 2023-11-03 Yuzhou Cao , Hussein Mozannar , Lei Feng , Hongxin Wei , Bo An

Learning to Defer (L2D) enables a model to predict autonomously or defer to an expert, but prior work largely assumes flat label spaces. We study the first L2D setting with hierarchical multi-label decisions, motivated by medical-imaging…

Artificial Intelligence · Computer Science 2026-05-05 Joshua Strong , Pramit Saha , Emma Sun , Helen Higham , Alison Noble

Deploying complex machine learning models on resource-constrained devices is challenging due to limited computational power, memory, and model retrainability. To address these limitations, a hybrid system can be established by augmenting…

Machine Learning · Computer Science 2025-04-18 Yu Wu , Yansong Li , Zeyu Dong , Nitya Sathyavageeswaran , Anand D. Sarwate

The learning to defer (L2D) framework has the potential to make AI systems safer. For a given input, the system can defer the decision to a human if the human is more likely than the model to take the correct action. We study the…

Machine Learning · Computer Science 2022-06-22 Rajeev Verma , Eric Nalisnick

Two-stage Learning-to-Defer (L2D) enables optimal task delegation by assigning each input to either a fixed main model or one of several offline experts, supporting reliable decision-making in complex, multi-agent environments. However,…

Machine Learning · Statistics 2025-08-26 Yannis Montreuil , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

In the Learning to Defer (L2D) framework, a prediction model can either make a prediction or defer it to an expert, as determined by a rejector. Current L2D methods train the rejector to decide whether to reject the {\em entire prediction},…

Methodology · Statistics 2025-10-10 Sahana Rayan , Ambuj Tewari

The problem of learning to defer with multiple experts consists of optimally assigning input instances to experts, balancing the trade-off between their accuracy and computational cost. This is a critical challenge in natural language…

Machine Learning · Computer Science 2025-12-30 Anqi Mao , Mehryar Mohri , Yutao Zhong

Learn-to-Defer is a paradigm that enables learning algorithms to work not in isolation but as a team with human experts. In this paradigm, we permit the system to defer a subset of its tasks to the expert. Although there are currently…

Machine Learning · Computer Science 2024-07-18 Mohammad-Amin Charusaie , Samira Samadi

Learning to defer (L2D) aims to improve human-AI collaboration systems by learning how to defer decisions to humans when they are more likely to be correct than an ML classifier. Existing research in L2D overlooks key real-world aspects…

We present a study of surrogate losses and algorithms for the general problem of learning to defer with multiple experts. We first introduce a new family of surrogate losses specifically tailored for the multiple-expert setting, where the…

Machine Learning · Computer Science 2024-04-02 Anqi Mao , Mehryar Mohri , Yutao Zhong
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