Fair Inference on Outcomes
Open accessAbstract
In this paper, we consider the problem of fair statistical inference involving outcome variables. Examples include classification and regression problems, and estimating treatment effects in randomized trials or observational data. The issue of fairness arises in such problems where some covariates or treatments are "sensitive," in the sense of having potential of creating discrimination. In this paper, we argue that the presence of discrimination can be formalized in a sensible way as the presence of an effect of a sensitive covariate on the outcome along certain causal pathways, a view which generalizes (Pearl 2009). A fair outcome model can then be learned by solving a constrained optimization problem. We discuss a number of complications that arise in classical statistical inference due to this view and provide workarounds based on recent work in causal and semi-parametric inference.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
Causal methods are specifically well suited to identifying proxies of sensitive variables.
“Thus, causal methods are speciically well suited to identifying 1) proxies of sensitive variables as discussed in subsection 2.1; 2) which subgroups are most (un)fairly treated and diferentiate the types of bias exhibited [118]; and 3) provide transparency with respect to how (classiication) decisions were made [143].”
From Fairness in machine learning: A survey (2024) · cites this paper as [219]
[65,173,219] transform the output of a classifier in accordance to the identification of unfair causal pathways, either by averaging, constraining the conditional distribution of the decision variable or through counterfactual correction.
“[65,173,219] transform the output of a classiier in accordance to the identiication of unfair causal pathways, either by averaging [219], constraining the conditional distribution of the decision variable [173] or through counterfactual correction [65].”
From Fairness in machine learning: A survey (2024) · cites this paper as [219]
In-processing (constraint) optimization approaches have similar objectives to fairness regularization approaches.
“In-processing (constraint) optimization approaches (e.g.[3, 57, 68, 79, 120, 135, 174, 208, 218, 219, 221, 307, 313]) have similar objectives to fairness regularization approaches, and hence we present them together.”
From Fairness in machine learning: A survey (2024) · cites this paper as [219]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Probabilistic Reasoning in Intelligent Systems
(1988) · Elsevier eBooks · doi:10.1016/c2009-0-27609-4 · Cited by 3,371 · see citing works
Equality of Opportunity in Supervised Learning
Hardt, M., Price, E., & Srebro, N. (2016) · arXiv · doi:10.48550/arxiv.1610.02413 · Cited by 2,536 · see citing works
BART: Bayesian additive regression trees
Chipman, H. A., George, E. I., & McCulloch, R. E. (2010) · The Annals of Applied Statistics · doi:10.1214/09-aoas285 · Cited by 1,875 · see citing works
Certifying and Removing Disparate Impact
Feldman, M., Friedler, S. A., Moeller, J., Scheidegger, C., & Venkatasubramanian, S. (2015) · Proceedings of the 21th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining · doi:10.1145/2783258.2783311 · Cited by 1,827 · see citing works
Identifiability and exchangeability for direct and indirect effects
Robins, J. M., & Greenland, S. (1992) · Epidemiology · doi:10.1097/00001648-199203000-00013 · Cited by 1,793 · see citing works
Causality models, reasoning and inference
Pearl, J. 1. (2000) · Cited by 1,044 · see citing works
Bertrand, M., & Mullainathan, S. (2003) · SSRN Electronic Journal · doi:10.2139/ssrn.422902 · Cited by 1,032 · see citing works
Odds Ratios for Mediation Analysis for a Dichotomous Outcome
VanderWeele, T. J., & Vansteelandt, S. (2010) · American Journal of Epidemiology · doi:10.1093/aje/kwq332 · Cited by 809 · see citing works
Discrimination-aware data mining
Pedreshi, D., Ruggieri, S., & Turini, F. (2008) · Proceedings of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining · doi:10.1145/1401890.1401959 · Cited by 676 · see citing works
Marginal Structural Models versus Structural nested Models as Tools for Causal inference
Robins, J. M. (2000) · The IMA volumes in mathematics and its applications · doi:10.1007/978-1-4612-1284-3_2 · Cited by 557 · see citing works
Bayesian Analysis of Constrained Parameter and Truncated Data Problems Using Gibbs Sampling
Gelfand, A. E., Smith, A. F. M., & Lee, T.-M. (1992) · Journal of the American Statistical Association · doi:10.1080/01621459.1992.10475235 · Cited by 447 · see citing works
The Causal Mediation Formula—A Guide to the Assessment of Pathways and Mechanisms
Pearl, J. (2012) · Prevention Science · doi:10.1007/s11121-011-0270-1 · Cited by 389 · see citing works
Tchetgen, E. J. T., & Shpitser, I. (2012) · The Annals of Statistics · doi:10.1214/12-aos990 · Cited by 281 · see citing works
Self-citationIdentification of Joint Interventional Distributions in Recursive Semi-Markovian Causal Models
Shpitser, I., & Pearl, J. (2006) · eScholarship (California Digital Library) · Cited by 160 · see citing works
Self-citationA Causal Framework for Discovering and Removing Direct and Indirect Discrimination
Zhang, L., Wu, Y., & Wu, X. (2017) · International Joint Conference on Artificial Intelligence · doi:10.24963/ijcai.2017/549 · Cited by 144 · see citing works
Complete Identification Methods for the Causal Hierarchy
Shpitser, I., & Spirtes, P. (2007) · ePrints Soton (University of Southampton) · Cited by 136 · see citing works
Self-citationCounterfactual graphical models for longitudinal mediation analysis with unobserved confounding
Shpitser, I. (2013) · Cognitive Science · doi:10.1111/cogs.12058 · Cited by 106 · see citing works
Self-citationKamiran, F., Žliobaitė, I., & Calders, T. (2013) · Knowledge and Information Systems · doi:10.1007/s10115-012-0584-8 · Cited by 99 · see citing works
Causal inference with a graphical hierarchy of interventions
Shpitser, I., & Tchetgen, E. T. (2016) · The Annals of Statistics · doi:10.1214/15-aos1411 · Cited by 38 · see citing works
Self-citationOn the identification of causal effects
Tian, J. W., & Shpitser, I. (2003) · Cited by 31 · see citing works
Self-citationAlgorithmic decision making and the cost of fairnessPreprint
Corbett‐Davies, S., Pierson, E., Feller, A., et al. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1701.08230 · Cited by 27 · see citing works
Miles, C. H., Shpitser, I., Kanki, P. J., Meloni, S., & Tchetgen, E. J. T. (2017) · Journal of the American Statistical Association · doi:10.1080/01621459.2017.1295862 · Cited by 22 · see citing works
Self-citationOn Partial Identification of the Natural Indirect Effect
Miles, C. H., Kanki, P. J., Meloni, S., & Tchetgen, E. T. (2017) · Journal of Causal Inference · doi:10.1515/jci-2016-0004 · Cited by 17 · see citing works
On Partial Identification of the Pure Direct EffectPreprint
Miles, C. H., Kanki, P. J., Meloni, S., & Tchetgen, E. T. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1509.01652 · Cited by 8 · see citing works
Flagged first, then by citations
1 of the 25 references couldn’t be matched to a known paper.
Research works printed but not linked: 4
- Jabbari S Joseph M Kearns M Morgenstern J Roth A 2016 Fair learning in markovian environments arxiv preprint: 1611.03071 · arXiv
- Metropolis N Rosenbluth A Rosenbluth M Teller A Teller E 1953 Equations of state calculations by fast computing machines Journal of Chemical Physics 21 6 1087 1092
- Pearl J 2001 Direct and indirect effects Proceedings of the Seventeenth Conference on Uncertainty in Artificial Intelligence (UAI-01) 411 420 Morgan Kaufmann San Francisco
- Spirtes P Glymour C Scheines R 2001 Causation, Prediction, and Search Springer Verlag New York 2
Cited by
Sorted by citations
A Survey on Bias and Fairness in Machine Learning
Mehrabi, N., Morstatter, F., Saxena, N., Lerman, K., & Galstyan, A. (2022) · ACM Computing Surveys · doi:10.1145/3457607 · Cited by 5,812 · see citing works
Fisher, A., Rudin, C., & Dominici, F. (2018) · arXiv · doi:10.48550/arxiv.1801.01489 · Cited by 1,165 · see citing works
Fairness definitions explained
Verma, S., & Rubin, J. (2018) · Proceedings of the International Workshop on Software Fairness · doi:10.1145/3194770.3194776 · Cited by 1,124 · see citing works
Algorithmic Fairness: Choices, Assumptions, and Definitions
Mitchell, S., Potash, E., Barocas, S., D'Amour, A., & Lum, K. (2021) · Annual Review of Statistics and Its Application · doi:10.1146/annurev-statistics-042720-125902 · Cited by 687 · see citing works
Fairness in machine learning: A survey
Caton, S., & Haas, C. (2024) · ACM Computing Surveys · doi:10.1145/3616865 · Cited by 646 · see citing works
Grgic-Hlaca, N., Redmiles, E. M., Gummadi, K. P., & Weller, A. (2018) · Proceedings of the 2018 World Wide Web Conference on World Wide Web - WWW '18 · doi:10.1145/3178876.3186138 · Cited by 207 · see citing works
Brown, A., Chouldechova, A., Putnam-Hornstein, E., Tobin, A., & Vaithianathan, R. (2019) · Proceedings of the 2019 CHI Conference on Human Factors in Computing Systems · doi:10.1145/3290605.3300271 · Cited by 207 · see citing works
Trustworthy ai: A computational perspective
Liu, H., Wang, Y., Fan, W., Liu, X., Li, Y., Jain, S., Liu, Y., Jain, A., & Tang, J. (2023) · ACM Transactions on Intelligent Systems and Technology · doi:10.1145/3546872 · Cited by 261 · see citing works
Koçak, B., Ponsiglione, A., Stanzione, A., Bluethgen, C., Santinha, J., Ugga, L., Huisman, M., Klontzas, M. E., Cannella, R., & Cuocolo, R. (2024) · Diagnostic and Interventional Radiology · doi:10.4274/dir.2024.242854 · Cited by 168 · see citing works
Fairness and Explanation in AI-Informed Decision Making
Angerschmid, A., Zhou, J., Theuermann, K., Chen, F., & Holzinger, A. (2022) · Machine Learning and Knowledge Extraction · doi:10.3390/make4020026 · Cited by 161 · see citing works
Empirical Risk Minimization under Fairness ConstraintsPreprint
Donini, M., Oneto, L., Ben-David, S., Shawe-Taylor, J., & Pontil, M. (2018) · Neural Information Processing Systems · doi:10.48550/arxiv.1802.08626 · Cited by 522 · see citing works
Interventional Fairness: Causal Database Repair for Algorithmic Fairness
Salimi, B., Rodriguez, L., Howe, B., & Suciu, D. (2019) · Proceedings of the 2019 International Conference on Management of Data · doi:10.1145/3299869.3319901 · Cited by 145 · see citing works
Fairness in Machine Learning: A Survey
Caton, S., & Haas, C. (2020) · arXiv · doi:10.48550/arxiv.2010.04053 · Cited by 646 · see citing works
A Framework for Understanding Sources of Harm throughout the Machine Learning Life Cycle
Suresh, H., & Guttag, J. (2021) · Equity and Access in Algorithms, Mechanisms, and Optimization · doi:10.1145/3465416.3483305 · Cited by 82 · see citing works
Stoyanovich, J., Howe, B., & Jagadish, H. V. (2020) · Proceedings of the VLDB Endowment · doi:10.14778/3415478.3415570 · Cited by 82 · see citing works
Perfectly parallel fairness certification of neural networks
Urban, C., Christakis, M., Wüstholz, V., & Zhang, F. (2020) · Proceedings of the ACM on Programming Languages · doi:10.1145/3428253 · Cited by 62 · see citing works
Probabilistic verification of fairness properties via concentration
Bastani, O., Zhang, X., & Solar-Lezama, A. (2019) · Proceedings of the ACM on Programming Languages · doi:10.1145/3360544 · Cited by 57 · see citing works
On the Fairness of Causal Algorithmic Recourse
Kügelgen, J. V., Karimi, A.-H., Bhatt, U., Valera, I., Weller, A., & Schölkopf, B. (2022) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v36i9.21192 · Cited by 58 · see citing works
Silva: Interactively Assessing Machine Learning Fairness Using Causality
Yan, J. N., Gu, Z., Lin, H., & Rzeszotarski, J. M. (2020) · Proceedings of the 2020 CHI Conference on Human Factors in Computing Systems · doi:10.1145/3313831.3376447 · Cited by 54 · see citing works
Wu, Z., Qiu, L., Ross, A., Akyürek, E., Chen, B., Wang, B., Kim, N., Andreas, J., & Kim, Y. (2024) · Proceedings of the 2024 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies (Volume 1: Long Papers) · doi:10.18653/v1/2024.naacl-long.102 · Cited by 58 · see citing works
AI and Algorithmic Bias: Source, Detection, Mitigation and Implications
Fu, R., Huang, Y. H., & Singh, P. V. (2020) · doi:10.1287/educ.2020.0215 · Cited by 119 · see citing works
Understanding Relations Between Perception of Fairness and Trust in Algorithmic Decision Making
Zhou, J., Verma, S., Mittal, M., & Chen, F. (2021) · 2021 8th International Conference on Behavioral and Social Computing (BESC) · doi:10.1109/besc53957.2021.9635182 · Cited by 36 · see citing works
The Fairness of Credit Scoring Models
Hurlin, C., Perignon, C., & Saurin, S. (2021) · SSRN Electronic Journal · doi:10.2139/ssrn.3785882 · Cited by 26 · see citing works
Achieving Non-Discrimination in Prediction
Zhang, L., Wu, Y., & Wu, X. (2018) · International Joint Conference on Artificial Intelligence · doi:10.24963/ijcai.2018/430 · Cited by 25 · see citing works
To Split or not to Split: The Impact of Disparate Treatment in Classification
Wang, H., Hsu, H., Díaz, M., & Calmon, F. P. (2021) · IEEE Transactions on Information Theory · doi:10.1109/tit.2021.3075415 · Cited by 19 · see citing works
Achieving Long-Term Fairness in Sequential Decision Making
Hu, Y., & Zhang, L. (2022) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v36i9.21188 · Cited by 16 · see citing works
Path-Specific Counterfactual Fairness
Chiappa, S. (2019) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v33i01.33017801 · Cited by 16 · see citing works
Gaebler, J. D., Goel, S., Huq, A., & Tambe, P. (2024) · Behavioral Science & Policy · doi:10.1177/23794607251320229 · Cited by 15 · see citing works
Why Fair Labels Can Yield Unfair Predictions: Graphical Conditions for Introduced Unfairness
Ashurst, C., Carey, R., Chiappa, S., & Everitt, T. (2022) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v36i9.21182 · Cited by 13 · see citing works
Rountree, L., Lin, Y.-T., Liu, C., Salvatore, M., Admon, A., Nallamothu, B., Singh, K., Basu, A., Bu, F., & Mukherjee, B. (2025) · Online Journal of Public Health Informatics · doi:10.2196/66598 · Cited by 13 · see citing works
An Interactive Approach to Bias Mitigation in Machine Learning
Wang, H., Mukhopadhyay, S., Xiao, Y., & Fang, S. (2021) · 2021 IEEE 20th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC) · doi:10.1109/iccicc53683.2021.9811333 · Cited by 12 · see citing works
Algorithmic Fairness Verification with Graphical Models
Ghosh, B., Basu, D., & Meel, K. S. (2022) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v36i9.21187 · Cited by 11 · see citing works
Eliminating Latent Discrimination: Train Then Mask
Ghili, S., Kazemi, E. M., & Karbasi, A. (2019) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v33i01.33013672 · Cited by 10 · see citing works
Reconciling Predictive and Statistical Parity: A Causal Approach
Plečko, D., & Bareinboim, E. (2024) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v38i13.29379 · Cited by 4 · see citing works
Generalizing Group Fairness in Machine Learning via Utilities
Blandin, J., & Kash, I. A. (2023) · Journal of Artificial Intelligence Research · doi:10.1613/jair.1.14238 · Cited by 3 · see citing works
On Testing for Discrimination Using Causal Models
Chockler, H., & Halpern, J. Y. (2022) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v36i5.20494 · Cited by 3 · see citing works
MobilityMirror: Bias-Adjusted Transportation Datasets
Rodriguez, L., Salimi, B., Ping, H., Stoyanovich, J., & Howe, B. (2019) · Communications in computer and information science · doi:10.1007/978-3-030-11238-7_2 · Cited by 2 · see citing works
Fic Graph - Quantifying Fairness with Sensitive AttributePreprint
Akintande, O. J., & Olubusoye, O. E. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4352107
Learning Fair Policies for Multi-Stage Selection Problems from Observational Data
Jia, Z., Hanasusanto, G. A., Vayanos, P., & Xie, W. (2024) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v38i19.30112
- Authors
- Nabi, R., & Shpitser, I.
- Affiliations
- Johns Hopkins University (US)
- Venue
- Proceedings of the AAAI Conference on Artificial Intelligence
- Published
- 2018-04-25
- Volume
- 32
- Issue
- 1
- ISSN
- 2159-5399 (ISSN-L)
- 2374-3468
- PMC
- PMC5963284
- OpenAlex
- W2617781997
- Cited by
- 20
- References
- 25
- Citations by year
- 2024: 3 · 2023: 2 · 2022: 6 · 2021: 1 · 2020: 3 · 2019: 2 · 2018: 3
- FWCI
- 4.55
- Type
- conference paper
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- Proceedings of the AAAI Conference on Artificial Intelligence (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Institute of Allergy and Infectious Diseases (R01AI104459, R01AI127271)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Social Sciences › Safety Research › Ethics and Social Impacts of AI
- Physical Sciences › Computer Science › Artificial Intelligence › Explainable Artificial Intelligence (XAI)
- Keywords
- algorithmic fairness, discrimination, causal pathways, treatment effect estimation, observational data, constrained optimization, classification, regression analysis, semiparametric inference
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.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review