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Abduction-Based Explanations for Machine Learning Models (1811.10656v1)

Published 26 Nov 2018 in cs.AI

Abstract: The growing range of applications of Machine Learning (ML) in a multitude of settings motivates the ability of computing small explanations for predictions made. Small explanations are generally accepted as easier for human decision makers to understand. Most earlier work on computing explanations is based on heuristic approaches, providing no guarantees of quality, in terms of how close such solutions are from cardinality- or subset-minimal explanations. This paper develops a constraint-agnostic solution for computing explanations for any ML model. The proposed solution exploits abductive reasoning, and imposes the requirement that the ML model can be represented as sets of constraints using some target constraint reasoning system for which the decision problem can be answered with some oracle. The experimental results, obtained on well-known datasets, validate the scalability of the proposed approach as well as the quality of the computed solutions.

Abduction-Based Explanations for Machine Learning Models: A Critical Evaluation

The paper entitled "Abduction-Based Explanations for Machine Learning Models" by Ignatiev, Narodytska, and Marques-Silva explores an innovative approach to generate explanations for ML model predictions using abductive reasoning. With the expansion of ML models into diverse and critical fields, the demand for interpretable outcomes has become vital for decision-making processes. This work suggests a model-agnostic method that leverages logical and heuristic properties to formulate explanations that are either cardinality-minimal or subset-minimal.

Technical Summary

The authors propose a constraint-agnostic framework that is built upon abductive reasoning, making it applicable to any ML model encoded as a set of constraints. The methodology is predicated on transforming the ML model behavior into logic-based constructs where the decision-making process can be answered by an oracle. This transformation is essential for evaluating entailment queries critical for explanation derivation.

The core of the approach involves identifying (shortest) prime implicants to produce explanations that adhere to specific quality metrics. Regarding implementation, the paper presents two algorithms: one for subset-minimal explanations, which are computationally feasible, and another for cardinality-minimal explanations, which ensure optimal result quality. Both algorithms rely on calls to a constraint satisfaction oracle; however, the latter requires exponential complexity concerning oracle calls, thus potentially limiting its scalability.

Experimental Results

The authors validate their approach using various datasets, including well-known text-based datasets and the MNIST digits. The tests compare performance between Satisfiability Modulo Theories (SMT) and Mixed Integer Linear Programming (MILP) solvers, with MILP generally demonstrating superior performance. The experimental outcomes reveal:

  • Subset-minimal explanations provide a satisfactory reduction in feature space size, making the explanations more interpretable to human decision-makers.
  • Cardinality-minimal explanations, while computationally expensive, offer a more condensed description of the ML model's decision rationale, enhancing clarity and insight.
  • The advantage of using MILP for efficiency against SMT is evidenced in both standard benchmarks and high-dimensional spaces, such as MNIST digits datasets.

Implications and Future Prospects

This paper’s proposal has several noteworthy implications. Practically, it facilitates a more profound understanding of ML model outputs, enabling users to obtain formal guarantees on the quality of explanations. Theoretically, the method provides a new perspective on utilizing abductive reasoning in AI, pushing the boundaries of how logical frameworks can be integrated with contemporary machine learning techniques.

Future developments might focus on enhancing the scalability of the abductive explanation method, possibly through abstraction refinement techniques or integration with advanced reasoning engines that address larger-scale networks. Additionally, further research into alternative constraint systems or optimizing current ML model encodings for explainer-friendly frameworks will be fruitful.

Conclusion

The work presented in this paper addresses a significant gap in machine learning interpretability by providing a rigorous framework for generating explanations. While it demonstrates the applicability and effectiveness of abductive reasoning, the computational limitations associated with finding cardinality-minimal solutions indicate a need for further innovation. Nevertheless, this approach establishes a meaningful baseline for comparison with heuristic methods and challenges researchers to consider the formal structure of explanations when designing future systems.

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Authors (3)
  1. Alexey Ignatiev (29 papers)
  2. Nina Narodytska (57 papers)
  3. Joao Marques-Silva (67 papers)
Citations (207)