Research map / Learning theory and algorithms / Combinatorial and search optimization
Scalable Optimal Multiway-Split Decision Trees with Constraints
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use path-based MIP with column generation for tree construction instead of the arc-based FlowOCT formulation | Optimal decision trees · Small/medium datasets, d=4 | median runtime (seconds): 177.0 -> 15.6 | Helped |
| Use path-based MIP with column generation for tree construction instead of the arc-based FlowOCT formulation | Optimal decision trees · Small/medium datasets, d=5 | median runtime (seconds): 561.4 -> 21.9 | Helped |
| Use path-based MIP with column generation for tree construction instead of the arc-based FlowOCT formulation | Optimal decision trees · Small/medium datasets, d=2 | median runtime (seconds): 1.9 -> 3.9 | Hurt |
| Use multiway-split OMT rather than CART | Decision trees · Large datasets | test accuracy: 6 of the 8 instances | Mixed |
| Use multiway-split OMT rather than FlowOCT | Decision trees · Large datasets | misclassification error: 8.4% | Helped |
| Use multiway-split OMT rather than binary-split ODT methods | Small/medium classification datasets · 48 dataset-depth combinations | out-of-sample accuracy wins: 56.3% | Helped |
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