mlsanityData to 7 Oct 2026

Randomized multi-class classification under system constraints: a unified approach via post-processing

arXiv 2512.14246 ↗First posted 16 Dec 2025math.OC stat.MLcited by 1

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Abstract (arXiv)

We study the problem of multi-class classification under system-level constraints expressible as linear functionals over randomized classifiers. We propose a post-processing approach that adjusts a given base classifier to satisfy general constraints without retraining. Our method formulates the problem as a linearly constrained stochastic program over randomized classifiers, and leverages entropic regularization and dual optimization techniques to construct a feasible solution. We provide finite-sample guarantees for the risk and constraint satisfaction for the final output of our algorithm under minimal assumptions. The framework accommodates a broad class of constraints, including fairness, abstention, and churn requirements.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 20 of its 40 references that are in the map. First posted on arXiv 16 Dec 2025.

Builds on

20 of 40 references.

References · 20

  1. 2021Convex optimizationcited by 2,479
  2. 2016Distribution-Free Predictive Inference For Regressioncited by 657
  3. 2018A Reductions Approach to Fair Classificationcited by 585
  4. 2016Least Ambiguous Set-Valued Classifiers with Bounded Error Levelscited by 270
  5. 2019Fair Regression: Quantitative Definitions and Reduction-based Algorithmscited by 168
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  7. 2017On the Properties of the Softmax Function with Application in Game Theory and Reinforcement Learningcited by 136
  8. 2018Optimization with Non-Differentiable Constraints with Applications to Fairness, Recall, Churn, and Other Goalscited by 103
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  10. 2018How To Make the Gradients Small Stochastically: Even Faster Convex and Nonconvex SGDcited by 55
  11. 2020Classification with Rejection Based on Cost-sensitive Classificationcited by 55
  12. 2022Fair and Optimal Classification via Post-Processingcited by 50
8 more
  1. 2019The Complexity of Making the Gradient Small in Stochastic Convex Optimizationcited by 33
  2. 2021Classification with abstention but without disparitiescited by 27
  3. 2022Fair learning with Wasserstein barycenters for non-decomposable performance measurescited by 24
  4. 2019General Fair Empirical Risk Minimizationcited by 23
  5. 2022Fair Bayes-Optimal Classifiers Under Predictive Paritycited by 16
  6. 2022Consistent Multiclass Algorithms for Complex Metrics and Constraintscited by 13
  7. 2024Regression under demographic parity constraints via unlabeled post-processingcited by 5
  8. 2024Finite-Sample and Distribution-Free Fair Classification: Optimal Trade-off Between Excess Risk and Fairness, and the Cost of Group-Blindnesscited by 2

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