mlsanityData to 14 Oct 2026

Counterfactual Explanations Using Optimization With Constraint Learning

arXiv 2209.10997 ↗First posted 22 Sep 2022cs.LGcited by 8

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Abstract (arXiv)

To increase the adoption of counterfactual explanations in practice, several criteria that these should adhere to have been put forward in the literature. We propose counterfactual explanations using optimization with constraint learning (CE-OCL), a generic and flexible approach that addresses all these criteria and allows room for further extensions. Specifically, we discuss how we can leverage an optimization with constraint learning framework for the generation of counterfactual explanations, and how components of this framework readily map to the criteria. We also propose two novel modeling approaches to address data manifold closeness and diversity, which are two key criteria for practical counterfactual explanations. We test CE-OCL on several datasets and present our results in a case study. Compared against the current state-of-the-art methods, CE-OCL allows for more flexibility and has an overall superior performance in terms of several evaluation metrics proposed in related work.

Key facts. Cited by 8 papers in the map (data through 14 Oct 2026). Builds on 21 of its 36 references that are in the map. First posted on arXiv 22 Sep 2022.

Builds on

21 of 36 references.

References · 21

  1. 2017Towards A Rigorous Science of Interpretable Machine Learningcited by 1,416
  2. 2017Explanation in Artificial Intelligence: Insights from the Social Sciencescited by 1,206
  3. 2017Counterfactual Explanations without Opening the Black Box: Automated Decisions and the GDPRcited by 1,089
  4. 2016The Mythos of Model Interpretabilitycited by 721
  5. 2019Explaining Machine Learning Classifiers through Diverse Counterfactual Explanationscited by 614
  6. 2018Actionable Recourse in Linear Classificationcited by 328
  7. 2020Algorithmic Recourse: from Counterfactual Explanations to Interventionscited by 250
  8. 2019Model-Agnostic Counterfactual Explanations for Consequential Decisionscited by 204
  9. 2019Preserving Causal Constraints in Counterfactual Explanations for Machine Learning Classifierscited by 144
  10. 2019Efficient Search for Diverse Coherent Explanationscited by 111
  11. 2021CARLA: A Python Library to Benchmark Algorithmic Recourse and Counterfactual Explanation Algorithmscited by 86
  12. 2021Learning in High Dimension Always Amounts to Extrapolationcited by 66
9 more
  1. 2017Inverse Classification for Comparison-based Interpretability in Machine Learningcited by 50
  2. 2018Global Deterministic Optimization with Artificial Neural Networks Embeddedcited by 33
  3. 2019ReLU Networks as Surrogate Models in Mixed-Integer Linear Programscited by 33
  4. 2021Mixed-Integer Optimization with Constraint Learningcited by 31
  5. 2021Optimization with Constraint Learning: A Framework and Surveycited by 28
  6. 2017Optimization of Tree Ensemblescited by 26
  7. 2020BRPO: Batch Residual Policy Optimizationcited by 25
  8. 2014Learning optimization models in the presence of unknown relationscited by 10
  9. 2021Optimal Counterfactual Explanations for Scorecard modellingcited by 6

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2022: 1; 2023: 4; 2024: 2; 2025: 0; 2026: 1.

8 papers.