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arXiv · 2206.14431

Open Problem: Properly learning decision trees in polynomial time?

Guy Blanc·Jane Lange·Mingda Qiao·Li-Yang Tan
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Abstract

The authors recently gave an $n^{O(\log\log n)}$ time membership query algorithm for properly learning decision trees under the uniform distribution (Blanc et al., 2021). The previous fastest algorithm for this problem ran in $n^{O(\log n)}$ time, a consequence of Ehrenfeucht and Haussler (1989)'s classic algorithm for the distribution-free setting. In this article we highlight the natural open problem of obtaining a polynomial-time algorithm, discuss possible avenues towards obtaining it, and state intermediate milestones that we believe are of independent interest.

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Guy Blanc, Jane Lange, Mingda Qiao, Li-Yang Tan. 2022-06-29. Open Problem: Properly learning decision trees in polynomial time?. https://arxiv.org/abs/2206.14431

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