On Fairness and Calibration
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Abstract (arXiv)
The machine learning community has become increasingly concerned with the potential for bias and discrimination in predictive models. This has motivated a growing line of work on what it means for a classification procedure to be "fair." In this paper, we investigate the tension between minimizing error disparity across different population groups while maintaining calibrated probability estimates. We show that calibration is compatible only with a single error constraint (i.e. equal false-negatives rates across groups), and show that any algorithm that satisfies this relaxation is no better than randomizing a percentage of predictions for an existing classifier. These unsettling findings, which extend and generalize existing results, are empirically confirmed on several datasets.
Key facts. Cited by 406 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Sep 2017.
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Citing papers per year: 2021: 83; 2022: 89; 2023: 93; 2024: 62; 2025: 41; 2026: 38.
406 papers.
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- 2021Just Train Twice: Improving Group Robustness without Training Group Informationcited by 522
- 2022Last Layer Re-Training is Sufficient for Robustness to Spurious Correlationscited by 379
- 2021Trustworthy AI: From Principles to Practicescited by 206
- 2022On Feature Learning in the Presence of Spurious Correlationscited by 145
- 2021On Calibration and Out-of-domain Generalizationcited by 134
- 2022Bias Mitigation for Machine Learning Classifiers: A Comprehensive Surveycited by 125
- 2021Data Collection and Quality Challenges in Deep Learning: A Data-Centric AI Perspectivecited by 116
- 2023HRS-Bench: Holistic, Reliable and Scalable Benchmark for Text-to-Image Modelscited by 94
- 2021Trustworthy AI: A Computational Perspectivecited by 93
- 2021EDITS: Modeling and Mitigating Data Bias for Graph Neural Networkscited by 92
- 2021Soft Calibration Objectives for Neural Networkscited by 89
- 2021Calibrating Predictions to Decisions: A Novel Approach to Multi-Class Calibrationcited by 79
38 more
- 2023Calibration in Deep Learning: A Survey of the State-of-the-Artcited by 72
- 2021Towards Unbiased and Accurate Deferral to Multiple Expertscited by 71
- 2021Classifier Calibration: A survey on how to assess and improve predicted class probabilitiescited by 71
- 2023DeAR: Debiasing Vision-Language Models with Additive Residualscited by 70
- 2024FairCLIP: Harnessing Fairness in Vision-Language Learningcited by 69
- 2022MEDFAIR: Benchmarking Fairness for Medical Imagingcited by 66
- 2021Characterizing Fairness Over the Set of Good Models Under Selective Labelscited by 65
- 2021Fairness in Credit Scoring: Assessment, Implementation and Profit Implicationscited by 65
- 2022Towards Intersectionality in Machine Learning: Including More Identities, Handling Underrepresentation, and Performing Evaluationcited by 59
- 2023FUTURE-AI: International consensus guideline for trustworthy and deployable artificial intelligence in healthcarecited by 59
- 2021Fairness in Cardiac MR Image Analysis: An Investigation of Bias Due to Data Imbalance in Deep Learning Based Segmentationcited by 57
- 2022Improving the Fairness of Chest X-ray Classifierscited by 52
- 2022Fair and Optimal Classification via Post-Processingcited by 50
- 2021Fair Preprocessing: Towards Understanding Compositional Fairness of Data Transformers in Machine Learning Pipelinecited by 49
- 2022How Different Groups Prioritize Ethical Values for Responsible AIcited by 49
- 2021Online Multivalid Learning: Means, Moments, and Prediction Intervalscited by 48
- 2021Sample Selection for Fair and Robust Trainingcited by 48
- 2021Knowing More About Questions Can Help: Improving Calibration in Question Answeringcited by 47
- 2022Discover and Mitigate Unknown Biases with Debiasing Alternate Networkscited by 47
- 2021Towards Fair Classifiers Without Sensitive Attributes: Exploring Biases in Related Featurescited by 45
- 2022Low-Degree Multicalibrationcited by 44
- 2023Exploring the Landscape of Machine Unlearning: A Comprehensive Survey and Taxonomycited by 44
- 2021Deep Cox Mixtures for Survival Regressioncited by 43
- 2022Causal Fairness Analysiscited by 42
- 2022The Road to Explainability is Paved with Bias: Measuring the Fairness of Explanationscited by 41
- 2021Your fairness may vary: Pretrained language model fairness in toxic text classificationcited by 38
- 2022Achieving Fairness at No Utility Cost via Data Reweighing with Influencecited by 38
- 2022Representation Bias in Data: A Survey on Identification and Resolution Techniquescited by 37
- 2024Assessment of Multimodal Large Language Models in Alignment with Human Valuescited by 36
- 2021Understanding and Improving Fairness-Accuracy Trade-offs in Multi-Task Learningcited by 34
- 2021Selective Regression Under Fairness Criteriacited by 34
- 2021Evaluating Fairness of Machine Learning Models Under Uncertain and Incomplete Informationcited by 33
- 2022Fairness Reprogrammingcited by 33
- 2022On Learning Fairness and Accuracy on Multiple Subgroupscited by 31
- 2023Arbitrariness and Social Prediction: The Confounding Role of Variance in Fair Classificationcited by 31
- 2022A Comprehensive Empirical Study of Bias Mitigation Methods for Machine Learning Classifierscited by 30
- 2023On Generalized Degree Fairness in Graph Neural Networkscited by 28
- 2021Fairness in Ranking under Uncertaintycited by 27
50 most cited of 406 All 406 (JSON)
- 2026Beyond Demographic Balance: Multi-Metric and Intersectional Evaluation of Fairness in MIMIC-IV Mortality Prediction1 Oct 2026
- 2026Fairness Theatre: Evaluating Post-Hoc Fairness Interventions in Vendor-Controlled Early Warning Systems29 Sep 2026
- 2026PICPIs: Prediction-Interval-Conditional Prediction Intervals21 Sep 2026
- 2026Prevalence calibration as shortcut mitigation7 Sep 2026
- 2026Fairness in multi-class multi-group classification problems via contextial coherent risk measures31 Aug 2026
- 2026Auditing Fairness-Privacy Trade-offs: Subpopulation-Level Effects of Fairness-Enhancing Algorithms16 Jul 2026
- 2026What You Train Is What You Get: Gender Bias, Training Composition, and Post-Hoc Mitigation in Audio Deepfake Detection10 Jul 2026
- 2026Where to Intervene? Benchmarking Fairness-Aware Learning on Differentially Private Synthetic Tabular Data8 Jul 2026
- 2026Wait, am I Being Fair? Characterizing Deductive Stereotyping and Mitigating It with Fair-GCG30 Jun 2026
- 2026No-Free-Fairness: Fundamental Limits and Trade-offs in Learning Systems16 Jun 2026
- 2026α-Fair Insurance Pricing: A Fairness Continuum12 Jun 2026
- 2026Operational AI Deployment Assurance: Governance-State Orchestration Under Threshold-Sensitive Deployment Conditions -- A Governance Framework for High-Stakes AI Systems27 May 2026
38 more
- 2026A Blended Likelihood Approach for Achieving Fairness Using Naive Bayes24 May 2026
- 2026Balancing Fairness, Privacy, and Accuracy: A Multitask Adversarial Framework for Centralized Data-Driven Systems23 May 2026
- 2026Fair and Calibrated Toxicity Detection with Robust Training and Abstention13 May 2026
- 2026RISED: A Pre-Deployment Evaluation Framework for High-Stakes AI Decision-Support Systems, with Application to Healthcare13 May 2026
- 2026The Pok'emon Theorem and other Fairness Impossibility Results9 May 2026
- 2026When Prompts Interact: Assessing Prompt Arithmetic for Deconfounding under Distribution Shift4 May 2026
- 2026People-Centred Medical Image Analysis via Fairness-Aware Human-AI Cooperation28 Apr 2026
- 2026Fairness Constraints in High-Dimensional Generalized Linear Models17 Apr 2026
- 2026First-See-Then-Design: A Multi-Stakeholder View for Optimal Performance-Fairness Trade-Offs15 Apr 2026
- 2026Investigating Bias and Fairness in Appearance-based Gaze Estimation12 Apr 2026
- 2026CAFP: A Post-Processing Framework for Group Fairness via Counterfactual Model Averaging8 Apr 2026
- 2026A Model Ensemble-Based Post-Processing Framework for Fairness-Aware Prediction19 Mar 2026
- 2026No evaluation without fair representation : Impact of label and selection bias on the evaluation, performance and mitigation of classification models10 Mar 2026
- 2026Masking Causality and Conditional Dependence7 Mar 2026
- 2026Operationalizing Fairness: Post-Hoc Threshold Optimization Under Hard Resource Limits26 Feb 2026
- 2026Fairness Aware Reward Optimization8 Feb 2026
- 2026Fix Representation (Optimally) Before Fairness: Finite-Sample Shrinkage Population Correction and the True Price of Fairness Under Subpopulation Shift5 Feb 2026
- 2026Fairness Under Group-Conditional Prior Probability Shift: Invariance, Drift, and Target-Aware Post-Processing5 Feb 2026
- 2026Separation-Utility Pareto Frontier: An Information-Theoretic Characterization4 Feb 2026
- 2026Bi-directional Bias Attribution: Debiasing Large Language Models without Modifying Prompts4 Feb 2026
- 2026Benchmarking Bias Mitigation Toward Fairness Without Harm from Vision to LVLMs3 Feb 2026
- 2026An Accounting Identity for Algorithmic Fairness28 Jan 2026
- 2026Failing on Bias Mitigation: A Case Study on the Challenges of Fairness in Government Data21 Jan 2026
- 2026Exploring Fine-Tuning for Tabular Foundation Models14 Jan 2026
- 2026When the Server Steps In: Calibrated Updates for Fair Federated Learning8 Jan 2026
- 2026The Voice of Equity: A Systematic Evaluation of Bias Mitigation Techniques for Speech-Based Cognitive Impairment Detection Across Architectures and Demographics7 Jan 2026
- 2025Metanetworks as Regulatory Operators: Learning to Edit for Requirement Compliance17 Dec 2025
- 2025Optimal Fairness under Local Differential Privacy20 Nov 2025
- 2025Decoupling Bias, Aligning Distributions: Synergistic Fairness Optimization for Deepfake Detection13 Nov 2025
- 2025Are We Aligned? A Preliminary Investigation of the Alignment of Responsible AI Values between LLMs and Human Judgment6 Nov 2025
- 2025TabTune: A Unified Library for Inference and Fine-Tuning Tabular Foundation Models4 Nov 2025
- 2025Happiness as a Measure of Fairness2 Nov 2025
- 2025Toward Unifying Group Fairness Evaluation from a Sparsity Perspective1 Nov 2025
- 2025Beyond Ethics: How Inclusive Innovation Drives Economic Returns in Medical AI11 Oct 2025
- 2025Fitzpatrick Thresholding for Skin Image Segmentation8 Oct 2025
- 2025Fair Classification by Direct Intervention on Operating Characteristics29 Sep 2025
- 2025'Rich Dad, Poor Lad': How do Large Language Models Contextualize Socioeconomic Factors in College Admission ?19 Sep 2025
- 2025Controllable Pareto Trade-off between Fairness and Accuracy17 Sep 2025
50 newest of 406 All 406 (JSON)
- 2026Fairness Aware Reward Optimizationcited by 1
- 2026Fairness Aware Reward Optimization8 Feb 2026
- 2021Just Train Twice: Improving Group Robustness without Training Group Informationcited by 522
- 2022Last Layer Re-Training is Sufficient for Robustness to Spurious Correlationscited by 379
- 2021Trustworthy AI: From Principles to Practicescited by 206
- 2022On Feature Learning in the Presence of Spurious Correlationscited by 145
- 2021On Calibration and Out-of-domain Generalizationcited by 134
- 2022Bias Mitigation for Machine Learning Classifiers: A Comprehensive Surveycited by 125
- 2021Data Collection and Quality Challenges in Deep Learning: A Data-Centric AI Perspectivecited by 116
- 2021Trustworthy AI: A Computational Perspectivecited by 93
- 2021EDITS: Modeling and Mitigating Data Bias for Graph Neural Networkscited by 92
- 2021Soft Calibration Objectives for Neural Networkscited by 89
- 2021Calibrating Predictions to Decisions: A Novel Approach to Multi-Class Calibrationcited by 79
- 2023Calibration in Deep Learning: A Survey of the State-of-the-Artcited by 72
12 most cited of 396 All 396 (JSON)
- 2026Beyond Demographic Balance: Multi-Metric and Intersectional Evaluation of Fairness in MIMIC-IV Mortality Prediction1 Oct 2026
- 2026Fairness Theatre: Evaluating Post-Hoc Fairness Interventions in Vendor-Controlled Early Warning Systems29 Sep 2026
- 2026PICPIs: Prediction-Interval-Conditional Prediction Intervals21 Sep 2026
- 2026Prevalence calibration as shortcut mitigation7 Sep 2026
- 2026Fairness in multi-class multi-group classification problems via contextial coherent risk measures31 Aug 2026
- 2026Auditing Fairness-Privacy Trade-offs: Subpopulation-Level Effects of Fairness-Enhancing Algorithms16 Jul 2026
- 2026What You Train Is What You Get: Gender Bias, Training Composition, and Post-Hoc Mitigation in Audio Deepfake Detection10 Jul 2026
- 2026Where to Intervene? Benchmarking Fairness-Aware Learning on Differentially Private Synthetic Tabular Data8 Jul 2026
- 2026Wait, am I Being Fair? Characterizing Deductive Stereotyping and Mitigating It with Fair-GCG30 Jun 2026
- 2026No-Free-Fairness: Fundamental Limits and Trade-offs in Learning Systems16 Jun 2026
- 2026α-Fair Insurance Pricing: A Fairness Continuum12 Jun 2026
- 2026Operational AI Deployment Assurance: Governance-State Orchestration Under Threshold-Sensitive Deployment Conditions -- A Governance Framework for High-Stakes AI Systems27 May 2026
12 newest of 396 All 396 (JSON)