FA*IR: A Fair Top-k Ranking Algorithm
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Abstract (arXiv)
In this work, we define and solve the Fair Top-k Ranking problem, in which we want to determine a subset of k candidates from a large pool of n >> k candidates, maximizing utility (i.e., select the "best" candidates) subject to group fairness criteria. Our ranked group fairness definition extends group fairness using the standard notion of protected groups and is based on ensuring that the proportion of protected candidates in every prefix of the top-k ranking remains statistically above or indistinguishable from a given minimum. Utility is operationalized in two ways: (i) every candidate included in the top-k should be more qualified than every candidate not included; and (ii) for every pair of candidates in the top-k, the more qualified candidate should be ranked above. An efficient algorithm is presented for producing the Fair Top-k Ranking, and tested experimentally on existing datasets as well as new datasets released with this paper, showing that our approach yields small distortions with respect to rankings that maximize utility without considering fairness criteria. To the best of our knowledge, this is the first algorithm grounded in statistical tests that can mitigate biases in the representation of an under-represented group along a ranked list.
Key facts. Cited by 113 papers in the map (data through 7 Oct 2026). First posted on arXiv 20 Jun 2017.
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Citing papers per year: 2021: 25; 2022: 25; 2023: 16; 2024: 16; 2025: 15; 2026: 16.
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- 2022Fair and Optimal Classification via Post-Processingcited by 50
- 2021User-centered Evaluation of Popularity Bias in Recommender Systemscited by 38
- 2021Societal Biases in Retrieved Contents: Measurement Framework and Adversarial Mitigation for BERT Rankerscited by 34
- 2022A Comprehensive Survey on Trustworthy Recommender Systemscited by 32
- 2023Human-Centric Multimodal Machine Learning: Recent Advances and Testbed on AI-based Recruitmentcited by 32
- 2021Fairness in Ranking under Uncertaintycited by 27
- 2022Fairness in Recommendation: Foundations, Methods and Applicationscited by 27
- 2021When Fair Ranking Meets Uncertain Inferencecited by 22
- 2022Joint Multisided Exposure Fairness for Recommendationcited by 22
- 2021RecSim NG: Toward Principled Uncertainty Modeling for Recommender Ecosystemscited by 21
- 2021Strategic Rankingcited by 21
- 2022Fair ranking: a critical review, challenges, and future directionscited by 21
38 more
- 2022De-biasing "bias" measurementcited by 20
- 2021Maxmin-Fair Ranking: Individual Fairness under Group-Fairness Constraintscited by 18
- 2021End-to-end Learning for Fair Ranking Systemscited by 18
- 2023Improving Recommendation Fairness via Data Augmentationcited by 18
- 2024Do Large Language Models Rank Fairly? An Empirical Study on the Fairness of LLMs as Rankerscited by 17
- 2024Towards Fair RAG: On the Impact of Fair Ranking in Retrieval-Augmented Generationcited by 15
- 2021Estimation of Fair Ranking Metrics with Incomplete Judgmentscited by 14
- 2021A Graph-based Approach for Mitigating Multi-sided Exposure Bias in Recommender Systemscited by 13
- 2021FairCanary: Rapid Continuous Explainable Fairnesscited by 12
- 2022Introducing the Expohedron for Efficient Pareto-optimal Fairness-Utility Amortizations in Repeated Rankingscited by 11
- 2022Uncertainty Quantification for Fairness in Two-Stage Recommender Systemscited by 10
- 2024Towards Foundation-model-based Multiagent System to Accelerate AI for Social Impactcited by 9
- 2021Fairness Through Regularization for Learning to Rankcited by 8
- 2022Measuring Disparate Outcomes of Content Recommendation Algorithms with Distributional Inequality Metricscited by 8
- 2022Popularity Bias in Collaborative Filtering-Based Multimedia Recommender Systemscited by 8
- 2024Intersectional Two-sided Fairness in Recommendationcited by 8
- 2021Individually Fair Rankingcited by 7
- 2021Pairwise Fairness for Ordinal Regressioncited by 6
- 2021Identifying Biased Subgroups in Ranking and Classificationcited by 6
- 2021Fairness for Robust Learning to Rankcited by 6
- 2026CatRAG: Functor-Guided Structural Debiasing with Retrieval Augmentation for Fair LLMscited by 6
- 2022Subverting Fair Image Search with Generative Adversarial Perturbationscited by 5
- 2022Debiasing Neural Retrieval via In-batch Balancing Regularizationcited by 5
- 2022FairRoad: Achieving Fairness for Recommender Systems with Optimized Antidote Datacited by 5
- 2023Bipartite Ranking Fairness through a Model Agnostic Ordering Adjustmentcited by 5
- 2024Language Fairness in Multilingual Information Retrievalcited by 5
- 2025Bias-Aware Agent: Enhancing Fairness in AI-Driven Knowledge Retrievalcited by 5
- 2021A Ranking Approach to Fair Classificationcited by 4
- 2022Unintended Bias in Language Model-driven Conversational Recommendationcited by 4
- 2022Probabilistic Permutation Graph Search: Black-Box Optimization for Fairness in Rankingcited by 4
- 2022Towards Fairness-Aware Multi-Objective Optimizationcited by 4
- 2023Fair Column Subset Selectioncited by 4
- 2023Fairness in Ranking under Disparate Uncertaintycited by 4
- 2024Measuring Bias in a Ranked List using Term-based Representationscited by 4
- 2025How Good are LLM-based Rerankers? An Empirical Analysis of State-of-the-Art Reranking Modelscited by 4
- 2021On Meritocracy in Optimal Set Selectioncited by 3
- 2021A Pre-processing Method for Fairness in Rankingcited by 3
- 2022Fair Interpretable Representation Learning with Correction Vectorscited by 3
50 most cited of 113 All 113 (JSON)
- 2026Retrieval Sensitivity to Identity Signals in Queries29 Sep 2026
- 2026Algorithmic Harms Associated with Generative Model-Augmented Recommendation Systems27 Sep 2026
- 2026FARE: Deep Reinforcement Learning For Fair Exposure Constrained Uncertainty Aware Financial Content Personalization25 Sep 2026
- 2026AgentRecommender: LLM Agents Enable Customizable Recommender Systems on the User Side25 Sep 2026
- 2026Counterfactual Bias Testing for Application Tracking System27 Aug 2026
- 2026WARP: Wasserstein-Aligned RAG for Population Opinions24 Aug 2026
- 2026Risk-Aware Reranking for Agentic Tool Retrieval24 Aug 2026
- 2026Who Speaks Matters: Authority-Aware Multi-View RAG over Italian Parliamentary Proceedings13 Aug 2026
- 2026A fairness-aware extension of Stochastic Multicriteria Acceptability Analysis for ranking16 Jun 2026
- 2026Fairness-Aware Retrieval Optimization for Retrieval-Augmented Generation15 May 2026
- 2026Localization Boosting for Growth Markets: Mitigating Cross-Locale Behavioral Bias in Learning-to-Rank11 May 2026
- 2026CatRAG: Functor-Guided Structural Debiasing with Retrieval Augmentation for Fair LLMs23 Mar 2026
38 more
- 2026Does Reasoning Make Search More Fair? Comparing Fairness in Reasoning and Non-Reasoning Rerankers11 Mar 2026
- 2026Generalizing Fair Top-k Selection: An Integrative Approach5 Mar 2026
- 2026FairRARI: A Plug and Play Framework for Fairness-Aware PageRank9 Feb 2026
- 2026Comparative Separation: Evaluating Separation on Comparative Judgment Test Data11 Jan 2026
- 2025Breaking the Dyadic Barrier: Rethinking Fairness in Link Prediction Beyond Demographic Parity9 Nov 2025
- 2025Controlling Gender Bias in Retrieval via a Backpack Architecture2 Nov 2025
- 2025Learning to Rank with Top-K Fairness22 Sep 2025
- 2025Language Bias in Information Retrieval: The Nature of the Beast and Mitigation Methods7 Sep 2025
- 2025Bias Mitigation Agent: Optimizing Source Selection for Fair and Balanced Knowledge Retrieval26 Aug 2025
- 2025How Good are LLM-based Rerankers? An Empirical Analysis of State-of-the-Art Reranking Models22 Aug 2025
- 2025A Reproducibility Study of Product-side Fairness in Bundle Recommendation18 Jul 2025
- 2025FAROS: Fair Graph Generation via Attribute Switching Mechanisms4 Jul 2025
- 2025Bias vs Bias -- Dawn of Justice: A Fair Fight in Recommendation Systems23 Jun 2025
- 2025Fairness-in-the-Workflow: How Machine Learning Practitioners at Big Tech Companies Approach Fairness in Recommender Systems26 May 2025
- 2025Bias-Aware Agent: Enhancing Fairness in AI-Driven Knowledge Retrieval27 Mar 2025
- 2025Exploring the Reliability of Self-explanation and its Relationship with Classification in Language Model-driven Financial Analysis20 Mar 2025
- 2025Unmasking Gender Bias in Recommendation Systems and Enhancing Category-Aware Fairness25 Feb 2025
- 2025What's in a Query: Polarity-Aware Distribution-Based Fair Ranking17 Feb 2025
- 2025Efficient and Responsible Adaptation of Large Language Models for Robust and Equitable Top-k Recommendations8 Jan 2025
- 2024Towards Foundation-model-based Multiagent System to Accelerate AI for Social Impact10 Dec 2024
- 2024Overhead-free User-side Recommender Systems12 Nov 2024
- 2024Reducing Biases in Record Matching Through Scores Calibration3 Nov 2024
- 2024End-to-End Optimization and Learning of Fair Court Schedules22 Oct 2024
- 2024Towards Fair RAG: On the Impact of Fair Ranking in Retrieval-Augmented Generation17 Sep 2024
- 2024Language Fairness in Multilingual Information Retrieval2 May 2024
- 2024Do Large Language Models Rank Fairly? An Empirical Study on the Fairness of LLMs as Rankers4 Apr 2024
- 2024Measuring Bias in a Ranked List using Term-based Representations9 Mar 2024
- 2024Fair Multivariate Adaptive Regression Splines for Ensuring Equity and Transparency23 Feb 2024
- 2024Learning Fair Ranking Policies via Differentiable Optimization of Ordered Weighted Averages7 Feb 2024
- 2024Fair Active Ranking from Pairwise Preferences5 Feb 2024
- 2024Intersectional Two-sided Fairness in Recommendation5 Feb 2024
- 2024Reranking individuals: The effect of fair classification within-groups24 Jan 2024
- 2024MOReGIn: Multi-Objective Recommendation at the Global and Individual Levels23 Jan 2024
- 2024Navigating the Thin Line: Examining User Behavior in Search to Detect Engagement and Backfire Effects20 Jan 2024
- 2024Adaptive Boosting with Fairness-aware Reweighting Technique for Fair Classification6 Jan 2024
- 2023Seller-side Outcome Fairness in Online Marketplaces6 Dec 2023
- 2023Fairness in Ranking under Disparate Uncertainty4 Sep 2023
- 2023The Initial Screening Order Problem28 Jul 2023
50 newest of 113 All 113 (JSON)
- 2025Bias-Aware Agent: Enhancing Fairness in AI-Driven Knowledge Retrievalcited by 5
- 2026Risk-Aware Reranking for Agentic Tool Retrievalcited by 2
- 2025Bias Mitigation Agent: Optimizing Source Selection for Fair and Balanced Knowledge Retrievalcited by 1
- 2026AgentRecommender: LLM Agents Enable Customizable Recommender Systems on the User Sidecited by 0
- 2026AgentRecommender: LLM Agents Enable Customizable Recommender Systems on the User Side25 Sep 2026
- 2026Risk-Aware Reranking for Agentic Tool Retrieval24 Aug 2026
- 2025Bias Mitigation Agent: Optimizing Source Selection for Fair and Balanced Knowledge Retrieval26 Aug 2025
- 2025Bias-Aware Agent: Enhancing Fairness in AI-Driven Knowledge Retrieval27 Mar 2025
- 2024Towards Fair RAG: On the Impact of Fair Ranking in Retrieval-Augmented Generationcited by 15
- 2026Fairness-Aware Retrieval Optimization for Retrieval-Augmented Generationcited by 0
- 2026Who Speaks Matters: Authority-Aware Multi-View RAG over Italian Parliamentary Proceedingscited by 0
- 2026WARP: Wasserstein-Aligned RAG for Population Opinionscited by 0
- 2026WARP: Wasserstein-Aligned RAG for Population Opinions24 Aug 2026
- 2026Who Speaks Matters: Authority-Aware Multi-View RAG over Italian Parliamentary Proceedings13 Aug 2026
- 2026Fairness-Aware Retrieval Optimization for Retrieval-Augmented Generation15 May 2026
- 2024Towards Fair RAG: On the Impact of Fair Ranking in Retrieval-Augmented Generation17 Sep 2024
- 2022Fair and Optimal Classification via Post-Processingcited by 50
- 2021User-centered Evaluation of Popularity Bias in Recommender Systemscited by 38
- 2021Societal Biases in Retrieved Contents: Measurement Framework and Adversarial Mitigation for BERT Rankerscited by 34
- 2022A Comprehensive Survey on Trustworthy Recommender Systemscited by 32
- 2023Human-Centric Multimodal Machine Learning: Recent Advances and Testbed on AI-based Recruitmentcited by 32
- 2021Fairness in Ranking under Uncertaintycited by 27
- 2022Fairness in Recommendation: Foundations, Methods and Applicationscited by 27
- 2021When Fair Ranking Meets Uncertain Inferencecited by 22
- 2022Joint Multisided Exposure Fairness for Recommendationcited by 22
- 2021RecSim NG: Toward Principled Uncertainty Modeling for Recommender Ecosystemscited by 21
- 2021Strategic Rankingcited by 21
- 2022Fair ranking: a critical review, challenges, and future directionscited by 21
12 most cited of 104 All 104 (JSON)
- 2026Retrieval Sensitivity to Identity Signals in Queries29 Sep 2026
- 2026Algorithmic Harms Associated with Generative Model-Augmented Recommendation Systems27 Sep 2026
- 2026FARE: Deep Reinforcement Learning For Fair Exposure Constrained Uncertainty Aware Financial Content Personalization25 Sep 2026
- 2026Counterfactual Bias Testing for Application Tracking System27 Aug 2026
- 2026A fairness-aware extension of Stochastic Multicriteria Acceptability Analysis for ranking16 Jun 2026
- 2026Localization Boosting for Growth Markets: Mitigating Cross-Locale Behavioral Bias in Learning-to-Rank11 May 2026
- 2026CatRAG: Functor-Guided Structural Debiasing with Retrieval Augmentation for Fair LLMs23 Mar 2026
- 2026Does Reasoning Make Search More Fair? Comparing Fairness in Reasoning and Non-Reasoning Rerankers11 Mar 2026
- 2026Generalizing Fair Top-k Selection: An Integrative Approach5 Mar 2026
- 2026FairRARI: A Plug and Play Framework for Fairness-Aware PageRank9 Feb 2026
- 2026Comparative Separation: Evaluating Separation on Comparative Judgment Test Data11 Jan 2026
- 2025Breaking the Dyadic Barrier: Rethinking Fairness in Link Prediction Beyond Demographic Parity9 Nov 2025
12 newest of 104 All 104 (JSON)