Cited by 38Ethics and Social Impacts of AIExplainable Artificial Intelligence (XAI)Privacy-Preserving Technologies in Data

Marrying Fairness and Explainability in Supervised Learning

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Grabowicz, Przemyslaw A., Perello, Nicholas, Mishra, Aarshee·2022·2022 ACM Conference on Fairness Accountability and Transparency

Abstract

Machine learning algorithms that aid human decision-making may inadvertently discriminate against certain protected groups. Therefore, we formalize direct discrimination as a direct causal effect of the protected attributes on the decisions, while induced discrimination as a change in the causal influence of non-protected features associated with the protected attributes. The measurements of marginal direct effect (MDE) and SHapley Additive exPlanations (SHAP) reveal that state-of-the-art fair learning methods can induce discrimination via association or reverse discrimination in synthetic and real-world datasets. To inhibit discrimination in algorithmic systems, we propose to nullify the influence of the protected attribute on the output of the system, while preserving the influence of remaining features. We introduce and study post-processing methods achieving such objectives, finding that they yield relatively high model accuracy, prevent direct discrimination, and diminishes various disparity measures, e.g., demographic disparity.

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Written from the paper’s full text.

TL;DR

The paper formalizes direct discrimination as a direct causal effect of protected attributes on decisions and induced discrimination as a change in the causal influence of non-protected features associated with protected attributes. It proposes marginal interventional mixture (MIM) and optimization-based post-processing methods that remove protected-attribute influence while preserving non-protected feature influence, reporting relatively high accuracy and reduced disparity measures on synthetic and real-world datasets.

Key findings

  • Using MDE and SHAP, the authors find state-of-the-art fair learning methods can induce discrimination via association or reverse discrimination; e.g., in synthetic Scenario A, traditional learning that drops Z induces indirect discrimination via X1 as r(X1,Z) increases, and in Scenario B Exp Grad methods become increasingly influenced by X1 even though X1 has no impact on Y.
  • The proposed MIM minimizes L_MDE(X) and L_SHAP(X); OPT-MDE preserves MDE of individual Xi, OPT-SHAP preserves SHAP of individual Xi, and MIM preserves pooled X influence. MIM is slightly more accurate than OPT-SHAP at the cost of minimally higher demographic disparity and equal opportunity difference.
  • On COMPAS, German Credit, and Adult Census Income, MIM is not influenced by the protected attribute and preserves influence for the two attributes most correlated with it; most evaluated models outperform MIM on demographic disparity but either use the protected attribute or fail to preserve at least one correlated attribute and have significantly lower accuracy (e.g., Exp Grad for COMPAS).
  • Theoretical comparison: MCM is more accurate than PSCF, with E(Y − Y_PSCF)^2 = E(Y − Y_c)^2 + Δ^2, and MIM has larger error than MCM, E(Y − Y_MIM)^2 = E(Y − Y_c)^2 + (θ_ym ε_m + θ_yl θ_lm ε_m)^2.

Methods

  • Design: formalizes direct/indirect/induced discrimination via controlled direct effect (CDE), marginal direct effect (MDE), and SHAP; constructs losses L_MDE(X), L_SHAP(X), and feature-specific L_IND_MDE, L_IND_SHAP; proposes MIM closed-form, OPT-MDE/OPT-SHAP via transfer learning/gradient descent, and marginal counterfactual mixture (MCM) for nested indirect discrimination.
  • Data: synthetic datasets drawn from multivariate normal with standard normal marginals and given correlations; Scenario A Y=σ(X1+X2+Z+1), Scenario B Y=σ(0*X1+X2+0*Z+1) with corr(X2,Z)=0.5; real-world COMPAS, German Credit, Adult Census Income; 20:80 test/train split; 30 trials for COMPAS and German Credit, 10 for Adult Census Income; COMPAS racial bias exacerbated by removing 500 positive outcomes for African-Americans.
  • Analysis: compares against Reweighing (pre-processing), reductions with DP/EO/TPR/ER constraints (in-processing), calibrated equalized odds (post-processing), traditional logistic regression, and drop-Z; measures SHAP, MDE, accuracy, demographic disparity, equalized odds/equal opportunity; underlying classifier logistic regression; AIF360 implementations.

Limitations

  • Stated: focuses on MDE and SHAP; SHAP can be fooled into stating a protected attribute has no influence, so adversarial scenarios may trick the approach; theoretical guarantees cover wide model classes but experiments use simple logistic models; any fairness objective can be misused, and omitting the first debiasing step for an unfairly influenced Xi would result in indirect discrimination.
  • Stated/evident: methods assume no unmeasured confounders and direct causal links from X and Z to Y; if this does not hold (e.g., Y→X←Z), supervised learning may suffer collider bias (Berkson’s paradox).
  • Evident: the paper does not test complex non-linear models or many other influence measures/loss functions; it leaves exploration of other losses and measures for future work.

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Registry

Crossref · 10.1145/3531146.3533236

Cites

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  • Findingown data
    § ABSTRACT · p. 1

    Measurements of marginal direct effect (MDE) and SHapley Additive exPlanations (SHAP) reveal that state-of-the-art fair learning methods can induce discrimination via association or reverse discrimination in synthetic and real-world datasets.

    “The measurements of marginal direct effect (MDE) and SHapley Additive exPlanations (SHAP) reveal that state-of-the-art fair learning methods can induce discrimination via association or reverse discrimination in synthetic and real-world datasets.”
    Quote in the paperSubstantial claim
  • Findingown data
    § ABSTRACT · p. 1

    The proposed post-processing methods diminish various disparity measures, e.g., demographic disparity.

    “finding that they yield relatively high model accuracy, prevent direct discrimination, and diminishes various disparity measures, e.g., demographic disparity.”
    Quote in the paperSubstantial claim
  • Findingnone given
    § 1 INTRODUCTION · p. 2

    Dropping the protected attribute before training in standard supervised learning results in increased influence of features associated with the protected attribute.

    “Third, we show that dropping the protected attribute before training in standard supervised learning would result in increased influence of features associated with the protected attribute.”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: There are direct causal links from X and Z to Y.
    • The authors state this as an assumption: There are no unmeasured confounders.
  • Findingnone given
    § 1 INTRODUCTION · p. 2

    Marginal interventional mixture models keep the influence of X and Z close to the target values.

    “We show that this method keeps influence of 𝑿 and 𝒁 close to the target values”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: There are direct causal links from X and Z to Y.
    • The authors state this as an assumption: There are no unmeasured confounders.
  • Findingown data
    § ABSTRACT · p. 1

    The proposed post-processing methods prevent direct discrimination.

    “finding that they yield relatively high model accuracy, prevent direct discrimination, and diminishes various disparity measures, e.g., demographic disparity.”
    Quote in the paperSubstantial claim
  • May combine two claims. 30
  • The quote only partly states this claim. 1
  • Classified as probably not a substantial claim. 27
  • May combine two claims. The quote only partly states this claim.

    Findingnone given
    § 1 INTRODUCTION · p. 2

    Marginal interventional mixture models decrease popular disparity measures while keeping high model accuracy.

    “in addition, decreases popular disparity measures, while keeping high model accuracy.”
    Quote in the paperNot a substantial claim
    • The authors state this as an assumption: There are direct causal links from X and Z to Y.
    • The authors state this as an assumption: There are no unmeasured confounders.
  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).

    Findingnone given
    § 5.3 Real-world datasets · p. 9

    The two attributes most correlated with a person's sex in the Adult Census Income dataset are if they are a husband and if they have a spouse in the armed forces.

    “The two attributes most correlated with a person's sex are if they are a husband and if they have a spouse in the armed forces.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingreasoning
    § 5.2 Synthetic datasets · p. 9

    In Scenario A, the method optimizing for parity of impact ('Exp Grad DP') unnecessarily decreases the influence of X1, which leads to an accuracy loss, because its goal is to remove the correlation between ^Y and Z.

    “On the one hand, the method optimizing for parity of impact ('Exp Grad DP') in Scenario A unnecessarily decreases the influence of 𝑿 1 (brown line in Figure 4A), which leads to an accuracy loss (Figure 4D), because its goal is to remove the correlation between ^ 𝑌 and 𝑍 .”
    Quote in the paperSubstantial claim
  • Classified as probably not a substantial claim.

    Findingnone given
    § 4.3 Removal of indirect discrimination via nested use of proposed methods · p. 6

    The interventional mixture calculates the value of ^X_i had the causal influence of Z been removed from it given the values of all observed variables, but not the values of exogenous noise.

    “Note that the interventional mixture calculates the value of ^ 𝑋 𝑖 had the casual influence of 𝒁 been removed from it given the values of all observed variables, but not the values of exogenous noise.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Each variable can contain exogenous noise, i.e., unobserved intrinsic noise not associated with any other variable.
  • May combine two claims.

    Findingown data
    § 5.2 Synthetic datasets · p. 9

    In Scenario B, the affected methods ('Exp Grad') are increasingly influenced by X1 as it gets more associated with the protected attribute, despite X1 not having impact on Y, because this enables them to increasingly utilize X2 in their model of Y and improve accuracy under a respective fairness constraint.

    “In Scenario B, the changes in the influence of 𝑋 1 with the growing correlation are especially noteworthy. The affected methods ('Exp Grad') are increasingly influenced by 𝑋 1 as it gets more associated with the protected attribute (Figure 4F), despite 𝑋 1 not having impact on 𝑌 , because this enables them to increasingly utilize 𝑋 2 in their model of 𝑌 (Figure 4G) and improve accuracy (Figure 4I)”
    Quote in the paperSubstantial claim
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    Findingown data
    § 5.2 Synthetic datasets · p. 9

    Methods allowing the influence of Z perform relatively well in Scenario A, because they counteract discrimination by using Z directly to maintain stable influence of X1 and X2 on ^Y and a high model accuracy, independently of r(X1,Z).

    “On the other hand, the methods allowing the influence of 𝑍 perform relative well in Scenario A, because they counteract discrimination by using 𝑍 directly (violet and teal lines in Figures 4C, 4H) to maintain stable influence of 𝑋 1 and 𝑋 2 on ^ 𝑌 (Figures 4A, 4B, 4F, 4G) and a high model accuracy (Figures 4D, 4I), independently of 𝑟 ( 𝑋 1 , 𝑍 ) .”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).

    Findingnone given
    § 5.3 Real-world datasets · p. 9

    The two attributes most correlated with an applicant's sex in the German Credit dataset are their age and number of dependents.

    “The two attributes most correlated with a applicant's sex are their age and number of dependents.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data
    § 5.3 Real-world datasets · p. 9

    In line with the synthetic results, the MIM (and OPT methods) is not influenced by the protected attribute and, with respect to the traditional model, preserves the influence for the two attributes most correlated with the protected attribute in the real-world scenarios.

    “In line with the synthetic results, the MIM (and OPT methods) is not influenced by the protected attribute (leftmost column in Figure 5) and, with respect to the traditional model, preserves the influence for the two attributes most correlated with the protected attribute in these real-world scenarios (blue and red bars in the two middle columns of Figure 5).”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Findingown data
    § 5.2 Synthetic datasets · p. 9

    The results for MDE are qualitatively the same as the results for SHAP.

    “In the remainder of the paper we report results for the SHAP influence, since the results for MDE are qualitatively the same (Appendix C).”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data
    § 5.2 Synthetic datasets · p. 8

    The MIM is slightly more accurate than the OPT-SHAP at the cost of minimally higher demographic disparity and equal opportunity difference (accuracy disparity).

    “Note, however, that the MIM is slightly more accurate than the OPT-SHAP (Figure 3E) at the cost of minimally higher demographic disparity (Figure 3I) and equal opportunity difference, i.e., accuracy disparity (Figure 3J).”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim.

    Findingnone given
    § 4.2 Minimizing 𝐿 IND MDE ( 𝑿 ) and 𝐿 IND SHAP ( 𝑿 ) via transfer learning · p. 6

    The minimization of feature-specific losses L_IND_MDE(X) and L_IND_SHAP(X) does not result in closed-form solutions.

    “Theminimization of the feature-specific losses, 𝐿 IND MDE ( 𝑿 ) and 𝐿 IND SHAP ( 𝑿 ) , does not result in closed-form solutions, so we apply a respective gradient descent.”
    Quote in the paperSubstantial claim
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    Findingreasoning
    § 4.1 Minimizing 𝐿 MDE ( 𝑿 ) or 𝐿 SHAP ( 𝑿 ) · p. 6

    Minimizing L_SHAP gives a potentially infinite set of conditions E[Z~^l]=E[Z^l] for the respective moments of Z~; these conditions are met if P(Z~=z)=P(Z=z).

    “Minimizing this objective gives a potentially infinite set of conditions E [ ˜ 𝑍 𝑙 ] = E [ 𝑍 𝑙 ] for the respective moments of ˜ 𝑍 . Since 𝑙 can be any positive integer, these conditions are met if 𝑃 ( ˜ 𝑍 = 𝑧 ) = 𝑃 ( 𝑍 = 𝑧 ) .”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data
    § 5.2 Synthetic datasets · p. 9

    Even though the MIM does not optimize for any fairness measure, it performs better in demographic disparity and all other fairness measures than the traditional method dropping Z.

    “Importantly, even though the MIM does not optimize for any fairness measure, it performs better in demographic disparity (Figure 4E) and all other fairness measures (Appendix B) than the traditional method dropping 𝑍 .”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data
    § 5.2 Synthetic datasets · p. 9

    In Scenario B, where there is no discrimination, methods allowing the influence of Z introduce reverse discrimination to counteract the correlation between X2 and Z, without considering the possibility that this correlation is a fair relationship, and achieve lower accuracy than the MIM.

    “However, in Scenario B, where there is no discrimination, these methods introduce reverse discrimination to counteract the correlation between 𝑋 2 and 𝑍 , without considering the possibility that this correlation is a fair relationship , and achieve lower accuracy than the MIM (Figure 4I).”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Findingnone given
    § 5.3 Real-world datasets · p. 9

    The two attributes most correlated with race in the COMPAS dataset are age and number of prior counts.

    “The two attributes most correlated with race are age and number of prior counts.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingreasoning
    § 4.3 Removal of indirect discrimination via nested use of proposed methods · p. 7

    Applying only the MIM would not take advantage of estimating the noise terms and yields less-accurate estimators than MCM.

    “If we applied only the MIM, we would not take advantage of estimating the noise terms and yield the following less-accurate estimators,”
    Quote in the paperSubstantial claim
    • Rests on an assumption: Each variable can contain exogenous noise, i.e., unobserved intrinsic noise not associated with any other variable.
  • May combine two claims.

    Findingnone given
    § 7 CONCLUSIONS · p. 11

    In scenarios where discrimination does not affect the training data, the proposed learning algorithm falls back to traditional learning, ensuring that the method does not bias the model needlessly.

    “In the scenarios where discrimination does not affect the training data, the proposed learning algorithm falls back to a traditional learning, which ensures that the method does not bias the model needlessly.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).

    Findingnone given
    § APPENDIX C: MARGINAL DIRECT EFFECT (MDE) · p. 13

    All results for MDE are qualitatively equivalent to that of SHAP for each dataset.

    “All results for MDE are qualitative equivalent to that of SHAP for each dataset.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingreasoning
    § APPENDIX A: PROOF OF PROPOSITION 2 · p. 13

    For the special case of k=0 or l=0, the MIM minimizes the objective globally, achieving L_SHAP(X)=0.

    “For the special case of 𝑘 = 0 or 𝑙 = 0 the MIM minimizes the objective globally, by achieving 𝐿 SHAP ( 𝑿 ) = 0 .”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data
    § 5.3 Real-world datasets · p. 9

    Most of the evaluated models outperform the MIM in terms of demographic disparity, but they are either influenced by the protected attribute or do not preserve the influence of at least one of the most correlated attributes and have significantly lower accuracy.

    “While most of the evaluated models outperform the MIM in terms of demographic disparity (the rightmost column in Figure 5), they are either influenced by the protected attribute (the leftmost column in Figure 5) or do not preserve the influence of at least one of the most correlated attributes (the two middle columns in Figure 5) and have significantly lower accuracy (Figure 6), e.g., 'Exp Grad'”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingnone given
    § APPENDIX A: PROOF OF PROPOSITION 2 · p. 13

    The corresponding Hessian matrix is positive semi-definite, so the extremum is a minimum.

    “The corresponding Hessian matrix is positive semi-definite, so the extremum is a minimum.”
    Quote in the paperNot a substantial claim
    • Rests on an assumption: X', Z', and Z'' have the same means as X and Z, respectively.
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    Premisecitation
    § 3.1 Legal notions and responsibility for decision-making models · p. 3

    In graduate admissions to University of California Berkeley, females were less often admitted than males, but females applied to departments with lower admission rates and the overall admission process was judged legal.

    “For instance, in graduate admissions to University of California Berkeley it was found that females were less often admitted than males [7]. However, females applied to departments with lower admission rates than males and the overall admission process was judged legal.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [7] [7] P. J. Bickel, E. A. Hammel, and J. W. O'Connell. 1975. Sex Bias in Graduate Admissions: Data from Berkeley. Science 187, 4175 (feb 1975), 398-404. https: //doi.org/10.1126/science.187.4175.398 - source

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    Premisecitation
    § 2 RELATED WORKS · p. 2

    Path-specific notions of causal fairness introduce fair causal paths, enabling business necessity to a limited extent.

    “Path-specific notions of causal fairness address this issue to a limited extent [8, 37, 59]. These methods introduce fair causal paths , i.e., the paths through which the impact of the protected attribute is permitted, hence enabling business necessity.”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites [8] [8] Silvia Chiappa. 2019. Path-Specific Counterfactual Fairness. Proceedings of the AAAI Conference on Artificial Intelligence 33 (jul 2019), 7801-7808. https: //doi.org/10.1609/aaai.v33i01.33017801 -

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    • cites [37] [37] Razieh Nabi, Daniel Malinsky, and Ilya Shpitser. 2019. Learning Optimal Fair Policies. In Proceedings of the 36th International Conference on Machine Learning . PMLR 97:4674-4682. arXiv:1809.02244 http://arxiv.org/abs/1809.02244 -

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    • cites [59] [59] Yongkai Wu, Lu Zhang, Xintao Wu, and Hanghang Tong. 2019. PC-Fairness: A unified framework for measuring causality-based fairness. Advances in Neural Information Processing Systems 32, NeurIPS (2019). arXiv:1910.12586 -

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    Premisecitation
    § 3.1 Legal notions and responsibility for decision-making models · p. 3

    The U.S. Civil Rights Act of 1968 determines that decisions about sale, rental, and financing of housing shall not be influenced by race, creed, and national origin.

    “the U.S. Civil Rights Act of 1968 (Titles VIII and IX, known as Fair Housing Act) [53] determines that decisions about sale, rental, and financing of housing shall not be influenced by race, creed, and national origin”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [53] [53] The Fair Housing Act. 1968. 42 U.S.C.A., 3601-3631. -

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    Premisecitation
    § 3.1 Legal notions and responsibility for decision-making models · p. 4

    A model is causal with respect to its own predictions, and the parents of these predictions are X and possibly Z.

    “Either way, whether the model at hand does or does not represent causal relations between variables in the real world, the model is causal w.r.t. its own predictions and the parents of these predictions are 𝑿 and, possibly, 𝒁 , as detailed in the causal explainability literature [23].”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [23] [23] Dominik Janzing, Lenon Minorics, and Patrick Blöbaum. 2019. Feature relevance quantification in explainable AI: A causal problem. 2015 (oct 2019). arXiv:1910.13413 http://arxiv.org/abs/1910.13413 - source

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    § 1 INTRODUCTION · p. 2

    In supervised learning, potentially any feature that improves model predictiveness on deployment could be claimed to fulfil a business necessity.

    “In supervised learning, potentially any feature that improves model predictiveness on deployment could be claimed to fulfil a business necessity.”
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    Premisecitation
    § 3.1 Legal notions and responsibility for decision-making models · p. 4

    Machine learning models are developed in best faith to maximize accuracy, but often are not causal and not robust to covariate shifts.

    “Machine learning models are developed in best faith to maximize accuracy, but often are not causal and not robust to covariate shifts [28, 45], i.e., they constitute an inaccurate epistemic state.”
    Quote in the paperSubstantial claim0 of 2 sources checked
    • cites [28] [28] Pang Wei Koh, Shiori Sagawa, Henrik Marklund, Sang Michael Xie, Marvin Zhang, Akshay Balsubramani, Weihua Hu, Michihiro Yasunaga, Richard Lanas Phillips, Sara Beery, Jure Leskovec, Anshul Kundaje, Emma Pierson, Sergey Levine, Chelsea Finn, and Percy Liang. 2020. WILDS: A Benchmark of in-theWild Distribution Shifts. (2020), 1-87. arXiv:2012.07421 http://arxiv.org/abs/ 2012.07421 -

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    • cites [45] [45] Shiori Sagawa, Aditi Raghunathan, Pang Wei Koh, and Percy Liang. 2020. An Investigation of Why Overparameterization Exacerbates Spurious Correlations. In ICML'20 . arXiv:2005.04345 http://arxiv.org/abs/2005.04345 -

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    § 3.1 Legal notions and responsibility for decision-making models · p. 4

    A model can suffer the effects of training on discriminatory data.

    “That model can suffer the effects of training on discriminatory data.”
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    Premisecitation
    § 2 RELATED WORKS · p. 2

    Direct and indirect discrimination can be defined as direct and indirect causal influence of Z on Y, respectively.

    “A relevant line of research proposes to define direct and indirect discrimination as direct and indirect causal influence of 𝒁 on 𝑌 , respectively [65, 66].”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites [65] [65] Junzhe Zhang and Elias Bareinboim. 2018. Fairness in Decision-Making - The Causal Explanation Formula. AAAI (2018), 2037-2045. https://www.aaai.org/ ocs/index.php/AAAI/AAAI18/paper/view/16949 -

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    • cites [66] [66] Lu Zhang, Yongkai Wu, and Xintao Wu. 2017. A causal framework for discovering and removing direct and indirect discrimination. IJCAI International Joint Conference on Artificial Intelligence 0 (2017), 3929-3935. https: //doi.org/10.24963/ijcai.2017/549 arXiv:1611.07509

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    § 2 RELATED WORKS · p. 2

    The limit on influence through fair causal paths is not a focus of prior works but is crucial to prevent induced discrimination in machine learning.

    “This limit is not a focus of prior works [8, 25, 29, 37, 46, 59, 65], but it is crucial to prevent induced discrimination in machine learning.”
    Quote in the paperSubstantial claim0 of 7 sources checked
    • cites [8] [8] Silvia Chiappa. 2019. Path-Specific Counterfactual Fairness. Proceedings of the AAAI Conference on Artificial Intelligence 33 (jul 2019), 7801-7808. https: //doi.org/10.1609/aaai.v33i01.33017801 -

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    • cites [25] [25] Niki Kilbertus, Mateo Rojas Carulla, Giambattista Parascandolo, Moritz Hardt, Dominik Janzing, and Bernhard Schölkopf. 2017. Avoiding Discrimination through Causal Reasoning. In Advances in Neural Information Processing Systems 30 . Curran Associates, Inc., 656-666. arXiv:1706.02744 http://arxiv.org/abs/1706.02744http://papers.nips.cc/paper/6668-avoidingdiscrimination-through-causal-reasoning.pdf -

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    • cites [29] [29] Matt J. Kusner, Joshua R. Loftus, Chris Russell, and Ricardo Silva. 2017. Counterfactual Fairness. In Advances in Neural Information Processing Systems 30 , I Guyon, U V Luxburg, S Bengio, H Wallach, R Fergus, S Vishwanathan, and R Garnett (Eds.). Curran Associates, Inc., 4066-4076. arXiv:1703.06856 http://arxiv.org/abs/ 1703.06856http://papers.nips.cc/paper/6995-counterfactual-fairness.pdf -

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    • cites [37] [37] Razieh Nabi, Daniel Malinsky, and Ilya Shpitser. 2019. Learning Optimal Fair Policies. In Proceedings of the 36th International Conference on Machine Learning . PMLR 97:4674-4682. arXiv:1809.02244 http://arxiv.org/abs/1809.02244 -

      Not checked in the free run.

    • cites [46] [46] Babak Salimi, Luke Rodriguez, Bill Howe, and Dan Suciu. 2019. Capuchin: Causal Database Repair for Algorithmic Fairness. (feb 2019). arXiv:1902.08283 http: //arxiv.org/abs/1902.08283 -

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    • cites [59] [59] Yongkai Wu, Lu Zhang, Xintao Wu, and Hanghang Tong. 2019. PC-Fairness: A unified framework for measuring causality-based fairness. Advances in Neural Information Processing Systems 32, NeurIPS (2019). arXiv:1910.12586 -

      Not checked in the free run.

    • cites [65] [65] Junzhe Zhang and Elias Bareinboim. 2018. Fairness in Decision-Making - The Causal Explanation Formula. AAAI (2018), 2037-2045. https://www.aaai.org/ ocs/index.php/AAAI/AAAI18/paper/view/16949 -

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    § 3.1 Legal notions and responsibility for decision-making models · p. 4

    Legal systems may acquit model developers if the intentions and reasoning behind the development process of models of Y and ^Y were legally admissible, despite an incorrect epistemic state.

    “In such situations, legal systems may acquit model developers if the intentions and reasoning behind the development process of models of 𝑌 and ^ 𝑌 were legally admissible, despite the incorrect epistemic state.”
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    Premisecitation
    § 3.1 Legal notions and responsibility for decision-making models · p. 3

    The U.S. Civil Rights Act of 1964 (Title VII) determines that hiring decisions shall not be influenced by race, color, religion, sex, and national origin.

    “the U.S. Civil Rights Act of 1964 (Title VII) [54] determines that hiring decisions shall not be influenced by race, color, religion, sex, and national origin.”
    Quote in the paperNot a substantial claim0 of 1 sources checked
    • cites [54] [54] Title VII of the Civil Rights Act. 1964. 7, 42 U.S.C., 2000e et seq. -

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  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.

    Premisenone given
    § 3.1 Legal notions and responsibility for decision-making models · p. 3

    Legal texts typically clearly define unfair influence, but fair relationships are determined on a case-by-case basis.

    “Legal texts typically clearly define unfair influence, but fair relationships are determined on case-by-case basis.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Premisenone given
    § 3.1 Legal notions and responsibility for decision-making models · p. 4

    In practice it may be impossible to test the causal validity of a model y(x,z) because of limited and unobserved data, privacy concerns, and the infeasibility or prohibitive costs of causal experimentation.

    “Unfortunately, in practice it may be impossible to test causal validity of model 𝑦 ( 𝒙 , 𝒛 ) , because of limited and unobserved data, privacy concerns, and the infeasibility or prohibitive costs of causal experimentation.”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim.

    Premisenone given
    § 3.2 Problem formulation based on causal influence measures · p. 4

    The methods proposed in the paper rely only on the notion of intervention, which tends to have a consistent meaning across causal frameworks.

    “The methods proposed here rely only on the notion of intervention, which tends to have a consistent meaning across causal frameworks.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.

    Premisenone given
    § 3 PROBLEM FORMULATION OF FAIR AND EXPLAINABLE LEARNING · p. 3

    The process generating decisions Y corresponds either to a real-world causal mechanism or its model, and the inducement of indirect discrimination shall be prevented on legal grounds in either case.

    “The process generating decisions 𝑌 corresponds either to a real-world causal mechanism or its model, while the inducement of indirect discrimination shall be prevented on legal grounds in either case (see Subsection 3.1.2).”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim. May combine two claims.

    Premisecitation
    § 4.3 Removal of indirect discrimination via nested use of proposed methods · p. 7

    PSCF is based on NDE, was introduced for binary Z, and relies on a choice of reference value z' (baseline).

    “PSCF is based on NDE (Equation 2), it was introduced for binary 𝑍 , and relies on a choice of reference value, 𝑧 ′ , also known as baseline, which is assumed 𝑧 ′ = 0 in the above example.”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [8] [8] Silvia Chiappa. 2019. Path-Specific Counterfactual Fairness. Proceedings of the AAAI Conference on Artificial Intelligence 33 (jul 2019), 7801-7808. https: //doi.org/10.1609/aaai.v33i01.33017801 -

      Not checked in the free run.

    • The authors state this as an assumption: The causal influence of the protected attribute Z on decisions Y and the mediator M is assumed unfair and all other influences are fair.
  • Classified as probably not a substantial claim.

    Premisecitation
    § 3.3 Problem formulation based on input influence measures · p. 5

    A popular measure of the influence of input w_i is based on the Shapley value (SHAP), which averages the marginal influence over all possible subsets T of all features except for i.

    “A popular measure of the influence of input 𝑤 𝑖 is based on the Shapley value (SHAP), which averages the marginal influence over all possible subsets 𝑇 of all features except for 𝑖 [13, 34],”
    Quote in the paperSubstantial claim0 of 2 sources checked
    • cites [13] [13] Anupam Datta, Shayak Sen, and Yair Zick. 2016. Algorithmic Transparency via Quantitative Input Influence: Theory and Experiments with Learning Systems. Proceedings - 2016 IEEE Symposium on Security and Privacy, SP 2016 (2016), 598617. https://doi.org/10.1109/SP.2016.42 -

      Not checked in the free run.

    • cites [34] [34] Scott M. Lundberg and Su In Lee. 2017. A unified approach to interpreting model predictions. Advances in Neural Information Processing Systems 2017-Decem, Section 2 (2017), 4766-4775. arXiv:1705.07874 -

      Not checked in the free run.

  • May combine two claims.

    Premisenone given
    § 4.3 Removal of indirect discrimination via nested use of proposed methods · p. 6

    A feature X_i can be unfairly and illegally influenced by Z; if decisions Y used such X_i, then Y would be indirectly discriminatory.

    “However, a feature 𝑋 𝑖 can be unfairly and illegally influenced by 𝒁 . If decisions 𝑌 used such 𝑋 𝑖 , then 𝑌 would be indirectly discriminatory.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation
    § 5.1 Evaluated learning methods · p. 7

    Several methods have been proposed to train machine learning models that prevent a combination of disparate treatment and impact.

    “Several methods have been proposed to train machine learning models that prevent a combination of disparate treatment and impact [17, 41, 61].”
    Quote in the paperNot a substantial claim0 of 3 sources checked
    • cites [17] [17] Michael Feldman, Sorelle Friedler, John Moeller, Carlos Scheidegger, and Suresh Venkatasubramanian. 2014. Certifying and removing disparate impact. (2014), 259-268. https://doi.org/10.1145/2783258.2783311 arXiv:1412.3756 - source

      Not checked in the free run.

    • cites [41] [41] Dino Pedreshi, Salvatore Ruggieri, and Franco Turini. 2008. Discrimination-aware data mining. In Proceeding of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining - KDD 08 . ACMPress, New York, New York, USA, 560. https://doi.org/10.1145/1401890.1401959 - source

      Not checked in the free run.

    • cites [61] [61] Muhammad Bilal Zafar, Isabel Valera, Manuel Gomez Rodriguez, and Krishna P Gummadi. 2015. Fairness Constraints: Mechanisms for Fair Classification. Fairness, Accountability, and Transparency in Machine Learning (jul 2015). arXiv:1507.05259 http://arxiv.org/abs/1507.05259 - source

      Not checked in the free run.

  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.

    Premisenone given
    § 1 INTRODUCTION · p. 2

    The big challenge in introducing non-discriminatory supervised learning algorithms is preventing direct discrimination without inducing indirect discrimination while enabling the necessity of businesses to maximize model accuracy.

    “The big challenge in introducing non-discriminatory supervised learning algorithms is preventing direct discrimination without inducing indirect discrimination while enabling the necessity of businesses to maximizing model accuracy.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S4 (based). May combine two claims.

    Interpretationnone given
    § 4 LEARNING FAIR AND EXPLAINABLE MODELS · p. 6

    L_MDE(X) or L_SHAP(X) lead to a simple closed-form solution.

    “We seek models ^ 𝑌 that remove the influence of the protected attributes 𝒁 , while preserving the influence of non-protected attributes 𝑿 by minimizing 𝐿 MDE ( 𝑿 ) or 𝐿 SHAP ( 𝑿 ) , which lead to a simple closed-form solution, or their feature-specific versions, i.e., 𝐿 IND MDE ( 𝑿 ) or 𝐿 IND SHAP ( 𝑿 ) , which we solve via transfer learning.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Interpretationreasoning
    § 4.3 Removal of indirect discrimination via nested use of proposed methods · p. 7

    The MCM can be applied to continuous Z and it results in more accurate models.

    “Thanks to this, the MCM can be applied to continuous 𝑍 and it results in more accurate models.”
    Quote in the paperSubstantial claim
    • The authors state this as an assumption: The causal influence of the protected attribute Z on decisions Y and the mediator M is assumed unfair and all other influences are fair.
  • May combine two claims.

    Interpretationreasoning
    § 5.1 Evaluated learning methods · p. 8

    There exist multiple supervised learning methods for addressing discrimination, but they are often mutually exclusive.

    “Thus, there exist multiple supervised learning methods for addressing discrimination, but they are often mutually exclusive.”
    Quote in the paperSubstantial claim
  • Classified as probably not a substantial claim.

    Premisecitation
    § 3.3 Problem formulation based on input influence measures · p. 5

    Prior works suggest making a probabilistic intervention on a feature by replacing it with an independent random variable.

    “To measure the influence of a certain feature 𝑊 𝑖 prior works suggest to make a probabilistic intervention on that variable by replacing it with an independent random variable [13, 23, 34].”
    Quote in the paperSubstantial claim0 of 3 sources checked
    • cites [13] [13] Anupam Datta, Shayak Sen, and Yair Zick. 2016. Algorithmic Transparency via Quantitative Input Influence: Theory and Experiments with Learning Systems. Proceedings - 2016 IEEE Symposium on Security and Privacy, SP 2016 (2016), 598617. https://doi.org/10.1109/SP.2016.42 - source

      Not checked in the free run.

    • cites [23] [23] Dominik Janzing, Lenon Minorics, and Patrick Blöbaum. 2019. Feature relevance quantification in explainable AI: A causal problem. 2015 (oct 2019). arXiv:1910.13413 http://arxiv.org/abs/1910.13413 - source

      Not checked in the free run.

    • cites [34] [34] Scott M. Lundberg and Su In Lee. 2017. A unified approach to interpreting model predictions. Advances in Neural Information Processing Systems 2017-Decem, Section 2 (2017), 4766-4775. arXiv:1705.07874 - source

      Not checked in the free run.

  • May combine two claims.

    Interpretationnone given
    § 3 PROBLEM FORMULATION OF FAIR AND EXPLAINABLE LEARNING · p. 3

    The proposed method allows addition of features to the model that increase model predictiveness, while preventing them from being used inadvertently as proxies for the protected features.

    “This method allows addition of features to the model that increase model predictiveness, while preventing them from being used inadvertently as proxies for the protected features.”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim. May combine two claims.

    Premisecitation
    § 4.3 Removal of indirect discrimination via nested use of proposed methods · p. 6

    Causality literature posits a causal hierarchy and distinguishes between interventional and counterfactual estimates.

    “Causality literature posits a causal hierarchy and distinguishes between interventional and counterfactual estimates [40].”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites [40] [40] Judea Pearl, Madelyn Glymour, and Nicolas P. Jewell. 2016. Causal Inference in Statistics: A Primer . -

      Not checked in the free run.

  • May combine two claims.

    Interpretationreasoning
    § 5.3 Real-world datasets · p. 9

    The changes in influence for the features most correlated with the protected attribute indicate that these methods induce indirect discrimination during training, despite having better performance for certain fairness measures.

    “As with the synthetic results, the changes in influence for the features most correlated with the protected attribute indicate that these methods induce indirect discrimination during training, despite having better performance for certain fairness measures.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationreasoning
    § 6 LIMITATIONS AND FUTURE WORK · p. 9

    In adversarial scenarios, our approach may experience the limitations of other discrimination preventing methods where satisfying a specified fairness objective still leads to discrimination.

    “In such adversarial scenarios, our approach may experience the limitations of other discrimination preventing methods where satisfying a specified fairness objective still leads to discrimination.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S4 (based).

    Interpretationnone given
    § 6 LIMITATIONS AND FUTURE WORK · p. 10

    If a company develops a model of Y using X and some Xi is unfairly influenced, omitting the step of first applying the method to a model of Xi would result in indirect discrimination.

    “An omission of the first step, whether intentional or unintentional, would result in indirect discrimination.”
    Quote in the paperNot a substantial claim
50 of 50
  • The authors state this as an assumption.

    The purpose of business is to develop a model that on deployment is the most predictive possible.

    “It is reasonable to assume that the purpose of business is to develop a model that on deployment is the most predictive possible.”
  • The authors state this as an assumption.

    There are direct causal links from X and Z to Y.

    “We assume that there are direct causal links from 𝑿 and 𝒁 to 𝑌 .”
  • The authors state this as an assumption.

    There are no unmeasured confounders.

    “Finally, it is assumed that there are no unmeasured confounders.”
  • The authors state this as an assumption.

    The causal influence of the protected attribute Z on decisions Y and the mediator M is assumed unfair and all other influences are fair.

    “The causal influence of the protected attribute 𝑍 on decisions 𝑌 and the mediator 𝑀 is assumed unfair and all other influences are fair.”
  • The authors state this as an assumption.

    We have enough samples to have perfect estimates of a well-specified model's parameters.

    “Without loss of generality, let us consider a scenario where we have enough samples to have perfect estimates of a well-specified model's parameters, so that the estimated model is ^ 𝑚 = 𝜃 𝑚 + 𝜃 𝑚 𝑧 𝑧 + 𝜃 𝑐 𝑚 𝑐 .”
  • The paper relies on this without support.

    Each variable can contain exogenous noise, i.e., unobserved intrinsic noise not associated with any other variable.

    “However, each variable can contain exogenous noise, i.e., unobserved intrinsic noise not associated with any other variable.”
  • The authors state this as an assumption.

    The function y(x,z) is analytic (can be expanded into a Taylor series).

    “Assuming that the function 𝑦 ( 𝑥, 𝑧 ) is analytic, we can expand 𝑦 ( 𝑥, 𝑧 ) into a Taylor series around the point ( 𝑥 = 0 , 𝑧 = 0 )”
  • The paper relies on this without support.

    X', Z', and Z'' have the same means as X and Z, respectively.

    “Since 𝑋 ′ , 𝑍 ′ , and 𝑍 ′′ have the same means as 𝑋 and 𝑍 , respectively, so the first derivative can be simplified as follows,”
8 of 8

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The introduction of SHAP values has seen an increase in attention from fairness researchers.

    “This is a relatively under-addressed area in the fairness literature, perhaps due to the introduction of SHAP valuesfoot_3 [203], which has seen an increase in attention from fairness researchers (e.g.[126]).”

    From Fairness in machine learning: A survey (2024) · cites this paper as [126]

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

Each contradiction between two passages listed here was confirmed by an independent check.

  • Taylor-series proof sketch omits zero-degree terms

    Minor

    The proof sketch says both exponents start at 1, whereas the appendix states that they start at 0. Starting at 1 omits constant terms and terms involving only one variable.

1 of 1

Cites

Flagged first, then by citations

Research works printed but not linked: 13

  1. Andrew Altman. 2016. Discrimination. In The Stanford Encyclopedia of Philosophy(2016 ed.), Edward N Zalta (Ed.). Metaphysics Research Lab, Stanford University.
  2. 10.1093/bioinformatics · DOI
  3. A Philip Dawid. 2008. Beware of the DAG!JMLR: Workshop and Conference Proceedings 6 (2008), 59–86.
  4. Michele Donini Luca Oneto Shai Ben-David John Shawe-Taylor and Massimiliano Pontil. 2018. Empirical risk minimization under fairness constraints. Advances in Neural Information Processing Systems 2018-Decem NeurIPS(2018) 2791–2801.
  5. 10.1093/bjps · DOI
  6. Jeff Larson, Surya Mattu, Lauren Kirchner, and Julia Angwin. 2016. How We Analyzed the COMPAS Recidivism Algorithm. Pro Publica (2016). https://www.propublica.org/article/how-we-analyzed-the-compas-recidivism-algorithm
  7. 10.1007/sl0677-006-9014-x · DOI
  8. Zachary C. Lipton Alexandra Chouldechova and Julian McAuley. 2018. Does mitigating ML’s impact disparity require treatment disparity?Advances in Neural Information Processing Systems 2018-Decem ML(2018) 8125–8135.
  9. 10.5555/1642718 · DOI
  10. Ilya Shpitser. 2015. Segregated graphs and marginals of chain graph models. Advances in Neural Information Processing Systems 2015-Janua (2015), 1720–1728.
  11. Kwame Ture, Charles V Hamilton, and Stokely Carmichael. 1968. Black power: The politics of liberation in America: With new afterwords by the authors. Vintage Books.
  12. Margery Austin Turner and Felicity Skidmore. 1999. Mortgage Lending Discrimination : A Review of Existing Evidence Lending Discrimination : A Review of existing Evidence. In The Urban Institute. 1–176.
  13. Muhammad Bilal Zafar, Isabel Valera, Manuel Gomez Rodriguez, and Krishna P Gummadi. 2017. Fairness Constraints: Mechanisms for Fair Classification. Artificial Intelligence and Statistics 54 (2017). arxiv:1507.05259https://arxiv.org/abs/1507.05259

Cited by

Sorted by citations

Authors
Grabowicz, P. A., Perello, N., & Mishra, A.
Affiliations
University of Massachusetts Amherst (US)
Venue
2022 ACM Conference on Fairness Accountability and Transparency
Publisher
ACM
Published
2022-06-20
Pages
1905-1916
OpenAlex
W4226346920
Cited by
37
References
31
Citations by year
2026: 5 · 2025: 10 · 2024: 9 · 2023: 9 · 2022: 4
FWCI
7.95
Type
conference paper
Language
en
Open access
Locations
  • ACM Conference on Fairness, Accountability, and Transparency (FAccT) (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • DARPA (W911NF-20-2-0005)
  • Volkswagen Foundation (92136)
Topics
  • Social Sciences › Safety Research › Ethics and Social Impacts of AI
  • Physical Sciences › Computer Science › Artificial Intelligence › Explainable Artificial Intelligence (XAI)
  • Physical Sciences › Computer Science › Artificial Intelligence › Privacy-Preserving Technologies in Data
Keywords
algorithmic fairness, direct discrimination, protected characteristics, causal inference, SHAP, explainability, post-processing, reverse discrimination

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-09.

Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-09.

Statistics and arithmetic are recomputed, not judged.

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