Multidimensional Shape Constraints

We propose new multi-input shape constraints across four intuitive categories: complements, diminishers, dominance, and unimodality constraints. We show these shape constraints can be checked and even enforced when training machine-learned models for linear models, generalized additive models, and the nonlinear function class of multi-layer lattice models. Real-world experiments illustrate how the different shape constraints can be used to increase explainability and improve regularization, especially for non-IID train-test distribution shift.

Authors

• Maya R. Gupta
• Erez Louidor
• Oleksandr Mangylov
• Nobu Morioka
• Taman Narayan
• Sen Zhao

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