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Efficient Search for Diverse Coherent Explanations (1901.04909v1)

Published 2 Jan 2019 in cs.LG and stat.ML

Abstract: This paper proposes new search algorithms for counterfactual explanations based upon mixed integer programming. We are concerned with complex data in which variables may take any value from a contiguous range or an additional set of discrete states. We propose a novel set of constraints that we refer to as a "mixed polytope" and show how this can be used with an integer programming solver to efficiently find coherent counterfactual explanations i.e. solutions that are guaranteed to map back onto the underlying data structure, while avoiding the need for brute-force enumeration. We also look at the problem of diverse explanations and show how these can be generated within our framework.

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Authors (1)
  1. Chris Russell (56 papers)
Citations (222)

Summary

Efficient Search for Diverse Coherent Explanations

This paper introduces an innovative approach to generating counterfactual explanations for machine learning models by leveraging mixed integer programming (MIP). The work focuses on enhancing the transparency and interpretability of predictive models, which are often criticized for their opacity. These models, while highly accurate, pose significant challenges in terms of understanding the rationale behind their predictions. The proposed method offers a structured and efficient approach to providing insights into model decisions through counterfactual explanations, specifically targeting datasets with mixed-type features.

Overview and Methodology

The authors address the problem of generating counterfactual explanations—specifically, how to change a given data point minimally to achieve a different outcome from a predictive model. Their method involves using MIP to ensure that the generated counterfactuals are both coherent and diverse. A key innovation is the introduction of the "mixed polytope," a set of constraints that ensures changes in input variables remain plausible and within a valid range.

The approach is tailored to datasets with variables that can take values from either a continuous range or a set of discrete states. This is particularly applicable in domains like finance, where datasets often contain such mixed-type features. The technique involves the following steps:

  1. Mixed Polytope Constraints: The method uses a set of constraints to form a "mixed polytope," allowing coherent changes to data points. These constraints ensure that generated counterfactuals align with an interpretable encoding of the data.
  2. Objective Function: An objective function is defined based on the weighted 1\ell_1 norm, which encourages sparsity in the differences between the original data point and the counterfactual. The focus is on finding solutions that are close to the original data point in a meaningful way.
  3. Diverse Explanations: To generate diverse explanations, the method iteratively restricts the state of variables adjusted in previous counterfactuals, thereby promoting exploration of alternative explanations.

Empirical Validation

The authors validate their approach on several datasets, notably the FICO Explainability Challenge dataset, which is a benchmark for evaluating the explainability of credit scoring models. The results demonstrate the efficacy of the proposed method in producing coherent and diverse counterfactual explanations. This was showcased through several examples where the method provided actionable insights into how data points could be adjusted to alter the predicted outcome.

Implications and Future Directions

The paper contributes significantly to the field of interpretable machine learning by addressing key challenges in generating counterfactual explanations for mixed-type data. By ensuring both coherence and diversity, the proposed approach offers practical tools for users seeking to understand or contest model decisions.

Given the reliance on linear models for many practical applications due to their simplicity and interpretability, this work positions itself as a critical step toward making counterfactual explanations widely accessible and reliable. For future work, the extension of this methodology to non-linear models and the application to more complex scenarios, such as non-differentiable classifiers, are indicated as promising directions. Moreover, as policies increasingly demand transparency and accountability in AI, advancements like those presented in this paper will be pivotal in aligning technological capabilities with regulatory expectations.

In conclusion, this research delineates a comprehensive framework for deploying counterfactual explanations in real-world scenarios, especially in fields that rely on transparent decision-making systems. The implementation of the proposed techniques can significantly enhance users' trust and understanding of AI systems, thereby broadening the acceptance and usability of machine learning in sensitive domains.