Fair Clustering Through Fairlets
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Abstract (arXiv)
We study the question of fair clustering under the em disparate impact doctrine, where each protected class must have approximately equal representation in every cluster. We formulate the fair clustering problem under both the k-center and the k-median objectives, and show that even with two protected classes the problem is challenging, as the optimum solution can violate common conventions---for instance a point may no longer be assigned to its nearest cluster center! En route we introduce the concept of fairlets, which are minimal sets that satisfy fair representation while approximately preserving the clustering objective. We show that any fair clustering problem can be decomposed into first finding good fairlets, and then using existing machinery for traditional clustering algorithms. While finding good fairlets can be NP-hard, we proceed to obtain efficient approximation algorithms based on minimum cost flow. We empirically quantify the value of fair clustering on real-world datasets with sensitive attributes.
Key facts. Cited by 176 papers in the map (data through 7 Oct 2026). First posted on arXiv 15 Feb 2018.
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Citing papers per year: 2021: 40; 2022: 30; 2023: 34; 2024: 29; 2025: 21; 2026: 22.
176 papers.
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- 2021A survey on datasets for fairness-aware machine learningcited by 157
- 2022Fairness in Graph Mining: A Surveycited by 76
- 2022Fair and Optimal Classification via Post-Processingcited by 50
- 2021Evaluating Fairness of Machine Learning Models Under Uncertain and Incomplete Informationcited by 33
- 2021Improved Approximation Algorithms for Individually Fair Clusteringcited by 33
- 2023Inductive Graph Unlearningcited by 30
- 2021Better Algorithms for Individually Fair k-Clusteringcited by 28
- 2021Approximation Algorithms for Socially Fair Clusteringcited by 25
- 2021A Sociotechnical View of Algorithmic Fairnesscited by 24
- 2023Efficient fair PCA for fair representation learningcited by 23
- 2021Fair Clustering Under a Bounded Costcited by 21
- 2022Fairness Amidst Non-IID Graph Data: A Literature Reviewcited by 20
38 more
- 2021Loss-Aversively Fair Classificationcited by 18
- 2021A New Notion of Individually Fair Clustering: α-Equitable k-Centercited by 18
- 2021Fast and Efficient MMD-based Fair PCA via Optimization over Stiefel Manifoldcited by 18
- 2024Generative Dataset Distillation: Balancing Global Structure and Local Detailscited by 18
- 2021Fairness, Semi-Supervised Learning, and More: A General Framework for Clustering with Stochastic Pairwise Constraintscited by 17
- 2021Modeling Techniques for Machine Learning Fairness: A Surveycited by 17
- 2022Deep Fair Clustering via Maximizing and Minimizing Mutual Information: Theory, Algorithm and Metriccited by 17
- 2022Scalable Spectral Clustering with Group Fairness Constraintscited by 16
- 2021Approximating Fair Clustering with Cascaded Norm Objectivescited by 13
- 2022Robust Fair Clustering: A Novel Fairness Attack and Defense Frameworkcited by 13
- 2023Proportional Fairness in Clustering: A Social Choice Perspectivecited by 12
- 2021Consistency of Constrained Spectral Clustering under Graph Induced Fair Planted Partitionscited by 10
- 2021Deep Fair Discriminative Clusteringcited by 10
- 2021A Stochastic Alternating Balance k-Means Algorithm for Fair Clusteringcited by 10
- 2021Fair Clustering Using Antidote Datacited by 10
- 2021Fairness-Aware Unsupervised Feature Selectioncited by 10
- 2021Tight FPT Approximation for Socially Fair Clusteringcited by 10
- 2022Fairness-aware Model-agnostic Positive and Unlabeled Learningcited by 10
- 2023Approximation Algorithms for Fair Range Clusteringcited by 10
- 2021Fair-Capacitated Clusteringcited by 9
- 2022Group Meritocratic Fairness in Linear Contextual Banditscited by 9
- 2023Doubly Constrained Fair Clusteringcited by 9
- 2024A Survey on Deep Clustering: From the Prior Perspectivecited by 9
- 2022Constant-Factor Approximation Algorithms for Socially Fair k-Clusteringcited by 8
- 2022Individual Preference Stability for Clusteringcited by 8
- 2023Proportionally Representative Clusteringcited by 8
- 2023Single-Pass Pivot Algorithm for Correlation Clustering. Keep it simple!cited by 8
- 2023On Measuring Fairness in Generative Modelscited by 8
- 2023Fair Wasserstein Coresetscited by 8
- 2024A Scalable Algorithm for Individually Fair K-means Clusteringcited by 8
- 2023Adversarial Attacks on the Interpretation of Neuron Activation Maximizationcited by 7
- 2021Pairwise Fairness for Ordinal Regressioncited by 6
- 2022Improved Approximation for Fair Correlation Clusteringcited by 6
- 2023Near-Optimal Quantum Coreset Construction Algorithms for Clusteringcited by 6
- 2024Fair Submodular Covercited by 6
- 2021Fair Sparse Regression with Clustering: An Invex Relaxation for a Combinatorial Problemcited by 5
- 2021Efficient Algorithms For Fair Clustering with a New Fairness Notioncited by 5
- 2021Fairness Degrading Adversarial Attacks Against Clustering Algorithmscited by 5
50 most cited of 176 All 176 (JSON)
- 2026Multi-View Fair Clustering Guided by Cross-View Sensitive Information Discrepancy22 Sep 2026
- 2026A Sub-4 Approximation for Fair k-Means7 Sep 2026
- 2026A Group-Based Resource Allocation Model for the Fractional Knapsack Problem6 Sep 2026
- 2026Parameterized and Streaming Algorithms for Euclidean Fair k-Center Clustering6 Sep 2026
- 2026Beyond Binary: Continuous State Optimization with Graph-Structured Objectives10 Aug 2026
- 2026COVAriance-Induced Fairness Gap Penalty for Subgroup-Fair Clustering20 Jul 2026
- 2026Wait, am I Being Fair? Characterizing Deductive Stereotyping and Mitigating It with Fair-GCG30 Jun 2026
- 2026Learning Fair Pareto-Optimal Policies in Multi-Objective Reinforcement Learning16 Jun 2026
- 2026UniFair: A unified fair clustering approach based on separation and compactness3 Jun 2026
- 2026Balancing Fairness, Privacy, and Accuracy: A Multitask Adversarial Framework for Centralized Data-Driven Systems23 May 2026
- 2026Fast and effective algorithms for fair clustering at scale13 May 2026
- 2026Constant-Factor Approximations for Doubly Constrained Fair k-Center, k-Median and k-Means17 Apr 2026
38 more
- 2026Why Colors Make Clustering Harder:Global Integrality Gaps, the Price of Fairness, and Color-Coupled Algorithms in Chromatic Correlation Clustering17 Apr 2026
- 2026A Model Ensemble-Based Post-Processing Framework for Fairness-Aware Prediction19 Mar 2026
- 2026Generalizing Fair Top-k Selection: An Integrative Approach5 Mar 2026
- 2026Fair Model-based Clustering25 Feb 2026
- 2026SOMtime the World Ain't Fair: Violating Fairness Using Self-Organizing Maps20 Feb 2026
- 2026On the Hardness of Approximation of the Fair k-Center Problem18 Feb 2026
- 2026A Generic Framework for Fair Consensus Clustering in Streams12 Feb 2026
- 2026FairRARI: A Plug and Play Framework for Fairness-Aware PageRank9 Feb 2026
- 2026PASS: Certified Subset Repair for Classical and Quantum Pairwise Constrained Clustering28 Jan 2026
- 2026Foreground-Aware Dataset Distillation via Dynamic Patch Selection6 Jan 2026
- 2025Incorporating Fairness in Neighborhood Graphs for Fair Spectral Clustering10 Dec 2025
- 2025Fairness-aware PageRank via Edge Reweighting8 Dec 2025
- 2025Interpretable Fair Clustering26 Nov 2025
- 2025FairAD: Computationally Efficient Fair Graph Clustering via Algebraic Distance31 Oct 2025
- 2025A Deep Latent Factor Graph Clustering with Fairness-Utility Trade-off Perspective27 Oct 2025
- 2025Alternatives to the Laplacian for Scalable Spectral Clustering with Group Fairness Constraints22 Oct 2025
- 2025Online Correlation Clustering: Simultaneously Optimizing All ℓp-norms16 Oct 2025
- 2025Fair Minimum Labeling: Efficient Temporal Network Activations for Reachability and Equity4 Oct 2025
- 2025APFEx: Adaptive Pareto Front Explorer for Intersectional Fairness17 Sep 2025
- 2025Deterministic Coreset Construction via Adaptive Sensitivity Trimming25 Aug 2025
- 2025Welfare-Centric Clustering14 Aug 2025
- 2025Adversarial Fair Multi-View Clustering6 Aug 2025
- 2025Incorporating Fairness Constraints into Archetypal Analysis16 Jul 2025
- 2025Fair Bayesian Model-Based Clustering15 Jun 2025
- 2025Accelerating Spectral Clustering under Fairness Constraints9 Jun 2025
- 2025A Computational Approach to Improving Fairness in K-means Clustering29 May 2025
- 2025Recovering Fairness Directly from Modularity: a New Way for Fair Community Partitioning27 May 2025
- 2025Fair Clustering via Alignment14 May 2025
- 2025Fair Clustering with Clusterlets3 May 2025
- 2025FACROC: a fairness measure for FAir Clustering through ROC curves2 Mar 2025
- 2025Generative Dataset Distillation Based on Self-knowledge Distillation8 Jan 2025
- 2024Linear Programming based Approximation to Individually Fair k-Clustering with Outliers14 Dec 2024
- 2024On Socially Fair Low-Rank Approximation and Column Subset Selection8 Dec 2024
- 2024Towards a Fairer Non-negative Matrix Factorization14 Nov 2024
- 2024Fair Summarization: Bridging Quality and Diversity in Extractive Summaries12 Nov 2024
- 2024Relax and Merge: A Simple Yet Effective Framework for Solving Fair k-Means and k-sparse Wasserstein Barycenter Problems2 Nov 2024
- 2024Fair Clustering for Data Summarization: Improved Approximation Algorithms and Complexity Insights16 Oct 2024
- 2024Fair Clustering with Minimum Representation Constraints4 Sep 2024
50 newest of 176 All 176 (JSON)
- 2023Inductive Graph Unlearningcited by 30
- 2023Inductive Graph Unlearning6 Apr 2023
- 2021A survey on datasets for fairness-aware machine learningcited by 157
- 2022Fairness in Graph Mining: A Surveycited by 76
- 2022Fair and Optimal Classification via Post-Processingcited by 50
- 2021Evaluating Fairness of Machine Learning Models Under Uncertain and Incomplete Informationcited by 33
- 2021Improved Approximation Algorithms for Individually Fair Clusteringcited by 33
- 2021Better Algorithms for Individually Fair k-Clusteringcited by 28
- 2021Approximation Algorithms for Socially Fair Clusteringcited by 25
- 2021A Sociotechnical View of Algorithmic Fairnesscited by 24
- 2023Efficient fair PCA for fair representation learningcited by 23
- 2021Fair Clustering Under a Bounded Costcited by 21
- 2022Fairness Amidst Non-IID Graph Data: A Literature Reviewcited by 20
- 2021Loss-Aversively Fair Classificationcited by 18
12 most cited of 175 All 175 (JSON)
- 2026Multi-View Fair Clustering Guided by Cross-View Sensitive Information Discrepancy22 Sep 2026
- 2026A Sub-4 Approximation for Fair k-Means7 Sep 2026
- 2026A Group-Based Resource Allocation Model for the Fractional Knapsack Problem6 Sep 2026
- 2026Parameterized and Streaming Algorithms for Euclidean Fair k-Center Clustering6 Sep 2026
- 2026Beyond Binary: Continuous State Optimization with Graph-Structured Objectives10 Aug 2026
- 2026COVAriance-Induced Fairness Gap Penalty for Subgroup-Fair Clustering20 Jul 2026
- 2026Wait, am I Being Fair? Characterizing Deductive Stereotyping and Mitigating It with Fair-GCG30 Jun 2026
- 2026Learning Fair Pareto-Optimal Policies in Multi-Objective Reinforcement Learning16 Jun 2026
- 2026UniFair: A unified fair clustering approach based on separation and compactness3 Jun 2026
- 2026Balancing Fairness, Privacy, and Accuracy: A Multitask Adversarial Framework for Centralized Data-Driven Systems23 May 2026
- 2026Fast and effective algorithms for fair clustering at scale13 May 2026
- 2026Constant-Factor Approximations for Doubly Constrained Fair k-Center, k-Median and k-Means17 Apr 2026
12 newest of 175 All 175 (JSON)