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Multi-Objective Counterfactual Explanations (2004.11165v2)

Published 23 Apr 2020 in stat.ML and cs.LG

Abstract: Counterfactual explanations are one of the most popular methods to make predictions of black box machine learning models interpretable by providing explanations in the form of `what-if scenarios'. Most current approaches optimize a collapsed, weighted sum of multiple objectives, which are naturally difficult to balance a-priori. We propose the Multi-Objective Counterfactuals (MOC) method, which translates the counterfactual search into a multi-objective optimization problem. Our approach not only returns a diverse set of counterfactuals with different trade-offs between the proposed objectives, but also maintains diversity in feature space. This enables a more detailed post-hoc analysis to facilitate better understanding and also more options for actionable user responses to change the predicted outcome. Our approach is also model-agnostic and works for numerical and categorical input features. We show the usefulness of MOC in concrete cases and compare our approach with state-of-the-art methods for counterfactual explanations.

Overview of "Multi-Objective Counterfactual Explanations"

The paper "Multi-Objective Counterfactual Explanations" by Susanne Dandl et al. presents an innovative approach to counterfactual explanations in machine learning, specifically focusing on multi-objective optimization rather than the traditional single-objective frameworks. This research emphasizes the necessity of providing a diverse set of counterfactuals that offer various trade-offs between multiple objectives, thus enhancing the interpretability and practical applicability of machine learning models, especially in domains like credit risk prediction.

Contributions and Methodology

The authors introduce the concept of Multi-Objective Counterfactuals (MOC), which utilizes a multi-objective optimization strategy to generate counterfactual explanations. This approach formulates the problem as minimizing four distinct objectives: proximity of the counterfactual to the desired outcome, closeness in feature space to the original instance, sparsity in feature changes, and plausibility within the data distribution. The suggested method employs the Nondominated Sorting Genetic Algorithm II (NSGA-II) with mixed-integer evolutionary strategies, tailored to address the complexity of mixed data types and feature interactions.

Among the notable contributions of the paper is the development of these multi-objective counterfactuals in a model-agnostic manner, enabling the approach to be applied across various machine learning models and tasks, including classification and regression. Moreover, the authors emphasize the importance of generating counterfactuals that are actionable and diverse, allowing users to assess various modification strategies for achieving desired outcomes.

Results and Evaluation

The authors conducted an extensive benchmark paper comparing the MOC framework with other state-of-the-art counterfactual explanation methods, specifically focusing on binary classification problems. The results demonstrated that MOC outperformed existing approaches, such as DiCE, Recourse, and Tweaking, by consistently yielding a higher number of nondominated solutions, which were closer to the training data and required fewer feature changes. The paper also highlighted that MOC's initialization and mutation strategies, which consider feature importance and data distribution, enhanced the generation quality and rate of convergence significantly.

The paper further provides a practical application of MOC in credit risk prediction using the German credit dataset, illustrating how MOC's counterfactuals can be useful for understanding model predictions and offering actionable insights to end-users.

Implications and Future Directions

The research delineated in the paper poses significant implications for the field of interpretable machine learning. By adopting a multi-objective perspective, MOC presents a robust framework for generating counterfactuals that account for the inherent trade-offs required to produce meaningful and actionable insights. This method's ability to produce diverse counterfactuals offers a broader understanding of model behavior and can be particularly advantageous in complex decision-making scenarios, such as credit scoring and medical diagnosis.

Future developments from this paper might explore the extension of MOC to incorporate additional objectives or alternative evolutionary strategies, potentially improving computational efficiency and scalability. Furthermore, exploring methods that facilitate user-friendly interactions with diverse sets of counterfactuals could foster better decision-making processes for non-expert users. Another avenue for future work could involve adapting this framework to specific application domains, accounting for their unique constraints and demands on feature interpretability.

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Authors (4)
  1. Susanne Dandl (12 papers)
  2. Christoph Molnar (11 papers)
  3. Martin Binder (8 papers)
  4. Bernd Bischl (136 papers)
Citations (233)