A Causal Framework for Evaluating Deferring Systems
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Abstract (arXiv)
Deferring systems extend supervised Machine Learning (ML) models with the possibility to defer predictions to human experts. However, evaluating the impact of a deferring strategy on system accuracy is still an overlooked area. This paper fills this gap by evaluating deferring systems through a causal lens. We link the potential outcomes framework for causal inference with deferring systems, which allows to identify the causal impact of the deferring strategy on predictive accuracy. We distinguish two scenarios. In the first one, we have access to both the human and ML model predictions for the deferred instances. Here, we can identify the individual causal effects for deferred instances and the aggregates of them. In the second one, only human predictions are available for the deferred instances. Here, we can resort to regression discontinuity designs to estimate a local causal effect. We evaluate our approach on synthetic and real datasets for seven deferring systems from the literature.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Builds on 48 of its 133 references that are in the map. First posted on arXiv 29 May 2024.
Builds on
48 of 133 references.
References · 48
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Citing papers per year: 2024: 2; 2025: 5; 2026: 6.
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- 2024Realizable H-Consistent and Bayes-Consistent Loss Functions for Learning to Defercited by 26
- 2024A Two-Stage Learning-to-Defer Approach for Multi-Task Learningcited by 16
- 2025Mastering Multiple-Expert Routing: Realizable H-Consistency and Strong Guarantees for Learning to Defercited by 16
- 2025Budgeted Multiple-Expert Deferralcited by 11
- 2025Why Ask One When You Can Ask k? Learning-to-Defer to the Top-k Expertscited by 6
- 2025Adversarial Robustness in One-Stage Learning-to-Defercited by 5
- 2025To Ask or Not to Ask: Learning to Require Human Feedbackcited by 4
- 2026Learning-to-Defer in Non-Stationary Time Series via Switching State-Space Modelscited by 4
- 2026When More Experts Hurt: Underfitting in Multi-Expert Learning to Defercited by 2
- 2026Consistent Learning-to-Defer with Expert-Conditional Advicecited by 1
- 2026Online Learning-to-Defer with Varying Expertscited by 0
- 2026One Human, N Agents: Audit-Budget Allocation for LLM Agent Fleets under Miscalibrated, Correlated Confidencecited by 0
1 more
- 2026Should I stay or should I show? Learning to selectively disclose information30 Sep 2026
- 2026One Human, N Agents: Audit-Budget Allocation for LLM Agent Fleets under Miscalibrated, Correlated Confidence30 Jul 2026
- 2026Online Learning-to-Defer with Varying Experts12 May 2026
- 2026Consistent Learning-to-Defer with Expert-Conditional Advice15 Mar 2026
- 2026When More Experts Hurt: Underfitting in Multi-Expert Learning to Defer19 Feb 2026
- 2026Learning-to-Defer in Non-Stationary Time Series via Switching State-Space Models30 Jan 2026
- 2025Budgeted Multiple-Expert Deferral30 Oct 2025
- 2025Adversarial Robustness in One-Stage Learning-to-Defer13 Oct 2025
- 2025To Ask or Not to Ask: Learning to Require Human Feedback9 Oct 2025
- 2025Mastering Multiple-Expert Routing: Realizable H-Consistency and Strong Guarantees for Learning to Defer25 Jun 2025
- 2025Why Ask One When You Can Ask k? Learning-to-Defer to the Top-k Experts17 Apr 2025
- 2024A Two-Stage Learning-to-Defer Approach for Multi-Task Learning21 Oct 2024
1 more
- 2025To Ask or Not to Ask: Learning to Require Human Feedbackcited by 4
- 2025To Ask or Not to Ask: Learning to Require Human Feedback9 Oct 2025
- 2024Realizable H-Consistent and Bayes-Consistent Loss Functions for Learning to Defercited by 26
- 2024A Two-Stage Learning-to-Defer Approach for Multi-Task Learningcited by 16
- 2025Mastering Multiple-Expert Routing: Realizable H-Consistency and Strong Guarantees for Learning to Defercited by 16
- 2025Budgeted Multiple-Expert Deferralcited by 11
- 2025Why Ask One When You Can Ask k? Learning-to-Defer to the Top-k Expertscited by 6
- 2025Adversarial Robustness in One-Stage Learning-to-Defercited by 5
- 2026Learning-to-Defer in Non-Stationary Time Series via Switching State-Space Modelscited by 4
- 2026When More Experts Hurt: Underfitting in Multi-Expert Learning to Defercited by 2
- 2026Consistent Learning-to-Defer with Expert-Conditional Advicecited by 1
- 2026Online Learning-to-Defer with Varying Expertscited by 0
- 2026Should I stay or should I show? Learning to selectively disclose informationcited by 0
- 2026Should I stay or should I show? Learning to selectively disclose information30 Sep 2026
- 2026Online Learning-to-Defer with Varying Experts12 May 2026
- 2026Consistent Learning-to-Defer with Expert-Conditional Advice15 Mar 2026
- 2026When More Experts Hurt: Underfitting in Multi-Expert Learning to Defer19 Feb 2026
- 2026Learning-to-Defer in Non-Stationary Time Series via Switching State-Space Models30 Jan 2026
- 2025Budgeted Multiple-Expert Deferral30 Oct 2025
- 2025Adversarial Robustness in One-Stage Learning-to-Defer13 Oct 2025
- 2025Mastering Multiple-Expert Routing: Realizable H-Consistency and Strong Guarantees for Learning to Defer25 Jun 2025
- 2025Why Ask One When You Can Ask k? Learning-to-Defer to the Top-k Experts17 Apr 2025
- 2024A Two-Stage Learning-to-Defer Approach for Multi-Task Learning21 Oct 2024
- 2024Realizable H-Consistent and Bayes-Consistent Loss Functions for Learning to Defer18 Jul 2024