Uncertainty Quantification for Fairness in Two-Stage Recommender Systems
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Abstract (arXiv)
Many large-scale recommender systems consist of two stages. The first stage efficiently screens the complete pool of items for a small subset of promising candidates, from which the second-stage model curates the final recommendations. In this paper, we investigate how to ensure group fairness to the items in this two-stage architecture. In particular, we find that existing first-stage recommenders might select an irrecoverably unfair set of candidates such that there is no hope for the second-stage recommender to deliver fair recommendations. To this end, motivated by recent advances in uncertainty quantification, we propose two threshold-policy selection rules that can provide distribution-free and finite-sample guarantees on fairness in first-stage recommenders. More concretely, given any relevance model of queries and items and a point-wise lower confidence bound on the expected number of relevant items for each threshold-policy, the two rules find near-optimal sets of candidates that contain enough relevant items in expectation from each group of items. To instantiate the rules, we demonstrate how to derive such confidence bounds from potentially partial and biased user feedback data, which are abundant in many large-scale recommender systems. In addition, we provide both finite-sample and asymptotic analyses of how close the two threshold selection rules are to the optimal thresholds. Beyond this theoretical analysis, we show empirically that these two rules can consistently select enough relevant items from each group while minimizing the size of the candidate sets for a wide range of settings.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Builds on 43 of its 81 references that are in the map. First posted on arXiv 30 May 2022.
Builds on
43 of 81 references.
References · 43
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- 2018Fairness of Exposure in Rankingscited by 189
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31 more
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- 2017FA*IR: A Fair Top-k Ranking Algorithmcited by 113
- 2016Optimal and Adaptive Off-policy Evaluation in Contextual Banditscited by 111
- 2018Learning Tree-based Deep Model for Recommender Systemscited by 99
- 2017Beyond Parity: Fairness Objectives for Collaborative Filteringcited by 93
- 2020Distribution-free binary classification: prediction sets, confidence intervals and calibrationcited by 79
- 2017Ranking with Fairness Constraintscited by 78
- 2019Achieving Fairness in the Stochastic Multi-armed Bandit Problemcited by 77
- 2021Fairness in Rankings and Recommendations: An Overviewcited by 62
- 2018Online Learning with an Unknown Fairness Metriccited by 61
- 2018Unbiased Learning to Rank with Unbiased Propensity Estimationcited by 61
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- 2017Balanced Policy Evaluation and Learningcited by 51
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- 2021Fairness of Exposure in Stochastic Banditscited by 42
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- 2020Confident Off-Policy Evaluation and Selection through Self-Normalized Importance Weightingcited by 38
- 2018Fighting Fire with Fire: Using Antidote Data to Improve Polarization and Fairness of Recommender Systemscited by 37
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- 2021TFROM: A Two-sided Fairness-Aware Recommendation Model for Both Customers and Providerscited by 31
- 2021Two-sided fairness in rankings via Lorenz dominancecited by 28
- 2020User Fairness, Item Fairness, and Diversity for Rankings in Two-Sided Marketscited by 23
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- 2018Intervention Harvesting for Context-Dependent Examination-Bias Estimationcited by 14
- 2021On component interactions in two-stage recommender systemscited by 14
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- 2022Fairness of Exposure in Light of Incomplete Exposure Estimationcited by 10
Built on by
Citing papers per year: 2023: 4; 2024: 2; 2025: 3; 2026: 1.
10 papers.
- 2023Unraveling Privacy Risks of Individual Fairness in Graph Neural Networkscited by 16
- 2025Uncertainty Quantification and Decomposition for LLM-based Recommendationcited by 12
- 2023CompanyKG: A Large-Scale Heterogeneous Graph for Company Similarity Quantificationcited by 6
- 2024Two-stage Risk Control with Application to Ranked Retrievalcited by 6
- 2023When Are Two Lists Better than One?: Benefits and Harms in Joint Decision-makingcited by 4
- 2023Fairness in Ranking under Disparate Uncertaintycited by 4
- 2025You Don't Bring Me Flowers: Mitigating Unwanted Recommendations Through Conformal Risk Controlcited by 3
- 2024Calibration-Disentangled Learning and Relevance-Prioritized Reranking for Calibrated Sequential Recommendationcited by 1
- 2026User-Adaptive Meta-Learning for Cold-Start Medication Recommendation with Uncertainty Filteringcited by 1
- 2025Session-based Recommender Systems: User Interest as a Stochastic Process in the Latent Spacecited by 0
- 2026User-Adaptive Meta-Learning for Cold-Start Medication Recommendation with Uncertainty Filtering30 Jan 2026
- 2025You Don't Bring Me Flowers: Mitigating Unwanted Recommendations Through Conformal Risk Control9 Jul 2025
- 2025Session-based Recommender Systems: User Interest as a Stochastic Process in the Latent Space14 Apr 2025
- 2025Uncertainty Quantification and Decomposition for LLM-based Recommendation29 Jan 2025
- 2024Calibration-Disentangled Learning and Relevance-Prioritized Reranking for Calibrated Sequential Recommendation4 Aug 2024
- 2024Two-stage Risk Control with Application to Ranked Retrieval27 Apr 2024
- 2023Fairness in Ranking under Disparate Uncertainty4 Sep 2023
- 2023When Are Two Lists Better than One?: Benefits and Harms in Joint Decision-making22 Aug 2023
- 2023CompanyKG: A Large-Scale Heterogeneous Graph for Company Similarity Quantification18 Jun 2023
- 2023Unraveling Privacy Risks of Individual Fairness in Graph Neural Networks30 Jan 2023