PC-Fairness: A Unified Framework for Measuring Causality-based Fairness
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Abstract (arXiv)
A recent trend of fair machine learning is to define fairness as causality-based notions which concern the causal connection between protected attributes and decisions. However, one common challenge of all causality-based fairness notions is identifiability, i.e., whether they can be uniquely measured from observational data, which is a critical barrier to applying these notions to real-world situations. In this paper, we develop a framework for measuring different causality-based fairness. We propose a unified definition that covers most of previous causality-based fairness notions, namely the path-specific counterfactual fairness (PC fairness). Based on that, we propose a general method in the form of a constrained optimization problem for bounding the path-specific counterfactual fairness under all unidentifiable situations. Experiments on synthetic and real-world datasets show the correctness and effectiveness of our method.
Key facts. Cited by 67 papers in the map (data through 14 Oct 2026). First posted on arXiv 20 Oct 2019.
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Citing papers per year: 2021: 10; 2022: 18; 2023: 15; 2024: 11; 2025: 5; 2026: 8.
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- 2021Fairness via Representation Neutralizationcited by 63
- 2021Personalized Counterfactual Fairness in Recommendationcited by 38
- 2022Causal Conceptions of Fairness and their Consequencescited by 38
- 2022Causal Explanations and XAIcited by 30
- 2022Fairness in Recommendation: Foundations, Methods and Applicationscited by 27
- 2022Stochastic Causal Programming for Bounding Treatment Effectscited by 25
- 2021A Sociotechnical View of Algorithmic Fairnesscited by 24
- 2022Evaluation Methods and Measures for Causal Learning Algorithmscited by 23
- 2022Marrying Fairness and Explainability in Supervised Learningcited by 23
- 2022Fairness Amidst Non-IID Graph Data: A Literature Reviewcited by 20
- 2022Counterfactual Fairness with Partially Known Causal Graphcited by 20
- 2023Causal Deep Learningcited by 20
38 more
- 2021Poisoning Attacks on Fair Machine Learningcited by 19
- 2022What-is and How-to for Fairness in Machine Learning: A Survey, Reflection, and Perspectivecited by 18
- 2021Explaining Algorithmic Fairness Through Fairness-Aware Causal Path Decompositioncited by 17
- 2023Causal Context Connects Counterfactual Fairness to Robust Prediction and Group Fairnesscited by 17
- 2021Achieving Counterfactual Fairness for Causal Banditcited by 15
- 2023A Review of the Role of Causality in Developing Trustworthy AI Systemscited by 14
- 2021Through the Data Management Lens: Experimental Analysis and Evaluation of Fair Classificationcited by 13
- 2021Learning to be Fair: A Consequentialist Approach to Equitable Decision-Makingcited by 11
- 2022Why Fair Labels Can Yield Unfair Predictions: Graphical Conditions for Introduced Unfairnesscited by 10
- 2022Attainability and Optimality: The Equalized Odds Fairness Revisitedcited by 10
- 2022Fairness-aware Model-agnostic Positive and Unlabeled Learningcited by 10
- 2023Causal Fairness under Unobserved Confounding: A Neural Sensitivity Frameworkcited by 10
- 2024Fairness-Accuracy Trade-Offs: A Causal Perspectivecited by 10
- 2023Causal Fairness for Outcome Controlcited by 8
- 2023Towards Counterfactual Fairness-aware Domain Generalization in Changing Environmentscited by 8
- 2023Towards Bounding Causal Effects under Markov Equivalencecited by 8
- 2023Tier Balancing: Towards Dynamic Fairness over Underlying Causal Factorscited by 7
- 2023Reconciling Predictive and Statistical Parity: A Causal Approachcited by 7
- 2024Policy Learning for Balancing Short-Term and Long-Term Rewardscited by 7
- 2022On Learning and Testing of Counterfactual Fairness through Data Preprocessingcited by 6
- 2022COFFEE: Counterfactual Fairness for Personalized Text Generation in Explainable Recommendationcited by 6
- 2024Interventional Fairness on Partially Known Causal Graphs: A Constrained Optimization Approachcited by 6
- 2026Bi-directional Bias Attribution: Debiasing Large Language Models without Modifying Promptscited by 5
- 2024Counterfactual Fairness Is Not Demographic Parity, and Other Observationscited by 4
- 2024Causal Inference with Latent Variables: Recent Advances and Future Prospectivescited by 4
- 2022The Fairness Field Guide: Perspectives from Social and Formal Sciencescited by 3
- 2023Procedural Fairness Through Decoupling Objectionable Data Generating Componentscited by 3
- 2024A New Paradigm for Counterfactual Reasoning in Fairness and Recoursecited by 3
- 2024What Hides behind Unfairness? Exploring Dynamics Fairness in Reinforcement Learningcited by 3
- 2021Algorithmic Recourse in Partially and Fully Confounded Settings Through Bounding Counterfactual Effectscited by 2
- 2022SCALES: From Fairness Principles to Constrained Decision-Makingcited by 2
- 2023Designing Equitable Algorithmscited by 2
- 2024Formalising Anti-Discrimination Law in Automated Decision Systemscited by 2
- 2024Towards counterfactual fairness through auxiliary variablescited by 2
- 2025CodeSCM: Causal Analysis for Multi-Modal Code Generationcited by 2
- 2025Causality Is Key to Understand and Balance Multiple Goals in Trustworthy ML and Foundation Modelscited by 2
- 2025FairAgent: Democratizing Fairness-Aware Machine Learning with LLM-Powered Agentscited by 2
- 2021A Causal Approach for Unfair Edge Prioritization and Discrimination Removalcited by 1
50 most cited of 67 All 67 (JSON)
- 2026Path-specific harm decomposition: A partial identification framework24 Sep 2026
- 2026GoT-CD: Graph-of-Thoughts Causal Discovery and the Fragility of Post-hoc Path-Specific Fairness Audits3 Aug 2026
- 2026Causal Bias Detection in Generative Artificial Intelligence12 May 2026
- 2026Tuning Derivatives for Causal Fairness in Machine Learning7 May 2026
- 2026Fairness under Graph Uncertainty: Achieving Interventional Fairness with Partially Known Causal Graphs over Clusters of Variables27 Feb 2026
- 2026Moment Matters: Mean and Variance Causal Graph Discovery from Heteroscedastic Observational Data27 Feb 2026
- 2026Bi-directional Bias Attribution: Debiasing Large Language Models without Modifying Prompts4 Feb 2026
- 2026Fairness risk and its privacy-enabled solution in AI-driven robotic applications13 Jan 2026
- 2025FairAgent: Democratizing Fairness-Aware Machine Learning with LLM-Powered Agents5 Oct 2025
- 2025Position: Beyond Sensitive Attributes, ML Fairness Should Quantify Structural Injustice via Social Determinants10 Aug 2025
- 2025Causally Fair Node Classification on Non-IID Graph Data3 May 2025
- 2025Causality Is Key to Understand and Balance Multiple Goals in Trustworthy ML and Foundation Models28 Feb 2025
38 more
- 2025CodeSCM: Causal Analysis for Multi-Modal Code Generation7 Feb 2025
- 2024Towards counterfactual fairness through auxiliary variables6 Dec 2024
- 2024Practical Guide for Causal Pathways and Sub-group Disparity Analysis2 Jul 2024
- 2024Formalising Anti-Discrimination Law in Automated Decision Systems29 Jun 2024
- 2024Causal Inference with Latent Variables: Recent Advances and Future Prospectives20 Jun 2024
- 2024Mind the Gap: A Causal Perspective on Bias Amplification in Prediction & Decision-Making24 May 2024
- 2024Fairness-Accuracy Trade-Offs: A Causal Perspective24 May 2024
- 2024Policy Learning for Balancing Short-Term and Long-Term Rewards6 May 2024
- 2024What Hides behind Unfairness? Exploring Dynamics Fairness in Reinforcement Learning16 Apr 2024
- 2024Counterfactual Fairness Is Not Demographic Parity, and Other Observations5 Feb 2024
- 2024A New Paradigm for Counterfactual Reasoning in Fairness and Recourse25 Jan 2024
- 2024Interventional Fairness on Partially Known Causal Graphs: A Constrained Optimization Approach19 Jan 2024
- 2023Fair Clustering: A Causal Perspective14 Dec 2023
- 2023Causal Fairness under Unobserved Confounding: A Neural Sensitivity Framework30 Nov 2023
- 2023Towards Bounding Causal Effects under Markov Equivalence13 Nov 2023
- 2023Procedural Fairness Through Decoupling Objectionable Data Generating Components5 Nov 2023
- 2023Causal Context Connects Counterfactual Fairness to Robust Prediction and Group Fairness30 Oct 2023
- 2023Towards Counterfactual Fairness-aware Domain Generalization in Changing Environments22 Sep 2023
- 2023Measuring, Interpreting, and Improving Fairness of Algorithms using Causal Inference and Randomized Experiments4 Sep 2023
- 2023Simulating counterfactuals27 Jun 2023
- 2023Causal Fairness for Outcome Control8 Jun 2023
- 2023Reconciling Predictive and Statistical Parity: A Causal Approach8 Jun 2023
- 2023Unfair Utilities and First Steps Towards Improving Them1 Jun 2023
- 2023Causal Deep Learning3 Mar 2023
- 2023Designing Equitable Algorithms17 Feb 2023
- 2023A Review of the Role of Causality in Developing Trustworthy AI Systems14 Feb 2023
- 2023Tier Balancing: Towards Dynamic Fairness over Underlying Causal Factors21 Jan 2023
- 2022COFFEE: Counterfactual Fairness for Personalized Text Generation in Explainable Recommendation14 Oct 2022
- 2022SCALES: From Fairness Principles to Constrained Decision-Making22 Sep 2022
- 2022Causal Conceptions of Fairness and their Consequences12 Jul 2022
- 2022On the Need and Applicability of Causality for Fairness: A Unified Framework for AI Auditing and Legal Analysis8 Jul 2022
- 2022Fairness-aware Model-agnostic Positive and Unlabeled Learning19 Jun 2022
- 2022What-is and How-to for Fairness in Machine Learning: A Survey, Reflection, and Perspective8 Jun 2022
- 2022Counterfactual Fairness with Partially Known Causal Graph27 May 2022
- 2022Fairness in Recommendation: Foundations, Methods and Applications26 May 2022
- 2022Marrying Fairness and Explainability in Supervised Learning6 Apr 2022
- 2022Identifiability of Causal-based Fairness Notions: A State of the Art11 Mar 2022
- 2022On Learning and Testing of Counterfactual Fairness through Data Preprocessing25 Feb 2022
50 newest of 67 All 67 (JSON)
- 2021Fairness via Representation Neutralizationcited by 63
- 2021Personalized Counterfactual Fairness in Recommendationcited by 38
- 2022Causal Conceptions of Fairness and their Consequencescited by 38
- 2022Causal Explanations and XAIcited by 30
- 2022Fairness in Recommendation: Foundations, Methods and Applicationscited by 27
- 2022Stochastic Causal Programming for Bounding Treatment Effectscited by 25
- 2021A Sociotechnical View of Algorithmic Fairnesscited by 24
- 2022Evaluation Methods and Measures for Causal Learning Algorithmscited by 23
- 2022Marrying Fairness and Explainability in Supervised Learningcited by 23
- 2022Fairness Amidst Non-IID Graph Data: A Literature Reviewcited by 20
- 2022Counterfactual Fairness with Partially Known Causal Graphcited by 20
- 2023Causal Deep Learningcited by 20
12 most cited of 64 All 64 (JSON)
- 2026Path-specific harm decomposition: A partial identification framework24 Sep 2026
- 2026Causal Bias Detection in Generative Artificial Intelligence12 May 2026
- 2026Tuning Derivatives for Causal Fairness in Machine Learning7 May 2026
- 2026Fairness under Graph Uncertainty: Achieving Interventional Fairness with Partially Known Causal Graphs over Clusters of Variables27 Feb 2026
- 2026Moment Matters: Mean and Variance Causal Graph Discovery from Heteroscedastic Observational Data27 Feb 2026
- 2026Bi-directional Bias Attribution: Debiasing Large Language Models without Modifying Prompts4 Feb 2026
- 2026Fairness risk and its privacy-enabled solution in AI-driven robotic applications13 Jan 2026
- 2025Position: Beyond Sensitive Attributes, ML Fairness Should Quantify Structural Injustice via Social Determinants10 Aug 2025
- 2025Causally Fair Node Classification on Non-IID Graph Data3 May 2025
- 2025Causality Is Key to Understand and Balance Multiple Goals in Trustworthy ML and Foundation Models28 Feb 2025
- 2025CodeSCM: Causal Analysis for Multi-Modal Code Generation7 Feb 2025
- 2024Towards counterfactual fairness through auxiliary variables6 Dec 2024
12 newest of 64 All 64 (JSON)