Review of Mathematical frameworks for Fairness in Machine Learning
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Abstract (arXiv)
A review of the main fairness definitions and fair learning methodologies proposed in the literature over the last years is presented from a mathematical point of view. Following our independence-based approach, we consider how to build fair algorithms and the consequences on the degradation of their performance compared to the possibly unfair case. This corresponds to the price for fairness given by the criteria textitstatistical parity or textitequality of odds. Novel results giving the expressions of the optimal fair classifier and the optimal fair predictor (under a linear regression gaussian model) in the sense of textitequality of odds are presented.
Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). First posted on arXiv 26 May 2020.
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Citing papers per year: 2021: 6; 2022: 3; 2023: 5; 2024: 2; 2025: 4; 2026: 1.
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- 2022Improving the Fairness of Chest X-ray Classifierscited by 52
- 2021Classification with abstention but without disparitiescited by 27
- 2021Achieving Fairness with a Simple Ridge Penaltycited by 13
- 2021Fairness with Continuous Optimal Transportcited by 9
- 2025Debiasing Diffusion Model: Enhancing Fairness through Latent Representation Learning in Stable Diffusion Modelcited by 5
- 2023Fairness Uncertainty Quantification: How certain are you that the model is fair?cited by 4
- 2023fairml: A Statistician's Take on Fair Machine Learning Modellingcited by 4
- 2021Quantum Fair Machine Learningcited by 3
- 2021Subgroup Fairness in Two-Sided Marketscited by 3
- 2022A survey of Identification and mitigation of Machine Learning algorithmic biases in Image Analysiscited by 3
- 2022Practical Approaches for Fair Learning with Multitype and Multivariate Sensitive Attributescited by 3
- 2025Fairness-Aware Grouping for Continuous Sensitive Variables: Application for Debiasing Face Analysis with respect to Skin Tonecited by 3
9 more
- 2024Demographic parity in regression and classification within the unawareness frameworkcited by 2
- 2023When mitigating bias is unfair: multiplicity and arbitrariness in algorithmic group fairnesscited by 1
- 2023Measuring and Mitigating Biases in Motor Insurance Pricingcited by 1
- 2024Debiasing Machine Learning Models by Using Weakly Supervised Learningcited by 1
- 2025When majority rules, minority loses: bias amplification of gradient descentcited by 1
- 2021Computability, Complexity, Consistency and Controllability: A Four C's Framework for cross-disciplinary Ethical Algorithm Researchcited by 0
- 2023Assessing Perceived Fairness from Machine Learning Developer's Perspectivecited by 0
- 2025Model-Agnostic Fairness Regularization for GNNs with Incomplete Sensitive Informationcited by 0
- 2026FairBED: A Bayesian Experimental Design Approach to Gathering Fairer Datacited by 0
- 2026FairBED: A Bayesian Experimental Design Approach to Gathering Fairer Data22 Jun 2026
- 2025Model-Agnostic Fairness Regularization for GNNs with Incomplete Sensitive Information27 Nov 2025
- 2025Fairness-Aware Grouping for Continuous Sensitive Variables: Application for Debiasing Face Analysis with respect to Skin Tone15 Jul 2025
- 2025When majority rules, minority loses: bias amplification of gradient descent19 May 2025
- 2025Debiasing Diffusion Model: Enhancing Fairness through Latent Representation Learning in Stable Diffusion Model16 Mar 2025
- 2024Demographic parity in regression and classification within the unawareness framework4 Sep 2024
- 2024Debiasing Machine Learning Models by Using Weakly Supervised Learning23 Feb 2024
- 2023Measuring and Mitigating Biases in Motor Insurance Pricing20 Nov 2023
- 2023fairml: A Statistician's Take on Fair Machine Learning Modelling3 May 2023
- 2023Fairness Uncertainty Quantification: How certain are you that the model is fair?27 Apr 2023
- 2023Assessing Perceived Fairness from Machine Learning Developer's Perspective7 Apr 2023
- 2023When mitigating bias is unfair: multiplicity and arbitrariness in algorithmic group fairness14 Feb 2023
9 more
- 2022Practical Approaches for Fair Learning with Multitype and Multivariate Sensitive Attributes11 Nov 2022
- 2022A survey of Identification and mitigation of Machine Learning algorithmic biases in Image Analysis10 Oct 2022
- 2022Improving the Fairness of Chest X-ray Classifiers23 Mar 2022
- 2021Subgroup Fairness in Two-Sided Markets4 Jun 2021
- 2021Achieving Fairness with a Simple Ridge Penalty18 May 2021
- 2021Classification with abstention but without disparities24 Feb 2021
- 2021Quantum Fair Machine Learning1 Feb 2021
- 2021Computability, Complexity, Consistency and Controllability: A Four C's Framework for cross-disciplinary Ethical Algorithm Research30 Jan 2021
- 2021Fairness with Continuous Optimal Transport6 Jan 2021
- 2022Improving the Fairness of Chest X-ray Classifierscited by 52
- 2021Classification with abstention but without disparitiescited by 27
- 2021Achieving Fairness with a Simple Ridge Penaltycited by 13
- 2021Fairness with Continuous Optimal Transportcited by 9
- 2023Fairness Uncertainty Quantification: How certain are you that the model is fair?cited by 4
- 2023fairml: A Statistician's Take on Fair Machine Learning Modellingcited by 4
- 2021Quantum Fair Machine Learningcited by 3
- 2021Subgroup Fairness in Two-Sided Marketscited by 3
- 2022A survey of Identification and mitigation of Machine Learning algorithmic biases in Image Analysiscited by 3
- 2022Practical Approaches for Fair Learning with Multitype and Multivariate Sensitive Attributescited by 3
- 2025Fairness-Aware Grouping for Continuous Sensitive Variables: Application for Debiasing Face Analysis with respect to Skin Tonecited by 3
- 2024Demographic parity in regression and classification within the unawareness frameworkcited by 2
12 most cited of 20 All 20 (JSON)
- 2026FairBED: A Bayesian Experimental Design Approach to Gathering Fairer Data22 Jun 2026
- 2025Model-Agnostic Fairness Regularization for GNNs with Incomplete Sensitive Information27 Nov 2025
- 2025Fairness-Aware Grouping for Continuous Sensitive Variables: Application for Debiasing Face Analysis with respect to Skin Tone15 Jul 2025
- 2025When majority rules, minority loses: bias amplification of gradient descent19 May 2025
- 2024Demographic parity in regression and classification within the unawareness framework4 Sep 2024
- 2024Debiasing Machine Learning Models by Using Weakly Supervised Learning23 Feb 2024
- 2023Measuring and Mitigating Biases in Motor Insurance Pricing20 Nov 2023
- 2023fairml: A Statistician's Take on Fair Machine Learning Modelling3 May 2023
- 2023Fairness Uncertainty Quantification: How certain are you that the model is fair?27 Apr 2023
- 2023Assessing Perceived Fairness from Machine Learning Developer's Perspective7 Apr 2023
- 2023When mitigating bias is unfair: multiplicity and arbitrariness in algorithmic group fairness14 Feb 2023
- 2022Practical Approaches for Fair Learning with Multitype and Multivariate Sensitive Attributes11 Nov 2022
12 newest of 20 All 20 (JSON)