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Efficient & Correct Predictive Equivalence for Decision Trees

Created by
  • Haebom

Author

Joao Marques-Silva, Alexey Ignatiev

Outline

This paper analyzes the problems of the Quine-McCluskey (QM) method, which solves the redundancy problem of predictive equivalence decision trees (DTs) by finding the minimal DNF (separate normal form) representation of the DTs. We propose a novel algorithm to improve this problem. Specifically, we highlight the QM method's worst-case running time and space complexity, as well as its inaccuracy in determining predictive equivalence. We then propose an alternative algorithm that can solve the problem in polynomial time for the DT size.

Takeaways, Limitations

Takeaways:
Reveals the worst-case performance problem of the Quine-McCluskey (QM) method.
Suggesting the possibility of errors in the judgment of predictive equivalence of the QM method.
We propose an algorithm to solve problems using minimal DNF representations in efficient polynomial time.
Experimentally demonstrated that the proposed algorithm is superior to the QM method in terms of speed.
Limitations:
The implementation details and performance analysis of specific new algorithms may not be presented in detail in the paper.
Further research may be needed to determine the generalizability of the proposed algorithm and its applicability to other complex DT-related problems.
There may be a lack of analysis of the impact on other applications that use minimal DNF representations.
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