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Scalable Optimal Multiway-Split Decision Trees with Constraints

AAAI 2023 · Learning theory and algorithms › Combinatorial and search optimization · approach: Learning branch-and-cut for MILP · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use path-based MIP with column generation for tree construction instead of the arc-based FlowOCT formulationOptimal decision trees · Small/medium datasets, d=4median runtime (seconds): 177.0 -> 15.6Helped
Use path-based MIP with column generation for tree construction instead of the arc-based FlowOCT formulationOptimal decision trees · Small/medium datasets, d=5median runtime (seconds): 561.4 -> 21.9Helped
Use path-based MIP with column generation for tree construction instead of the arc-based FlowOCT formulationOptimal decision trees · Small/medium datasets, d=2median runtime (seconds): 1.9 -> 3.9Hurt
Use multiway-split OMT rather than CARTDecision trees · Large datasetstest accuracy: 6 of the 8 instancesMixed
Use multiway-split OMT rather than FlowOCTDecision trees · Large datasetsmisclassification error: 8.4%Helped
Use multiway-split OMT rather than binary-split ODT methodsSmall/medium classification datasets · 48 dataset-depth combinationsout-of-sample accuracy wins: 56.3%Helped

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