Title
Shape Constraints for Set Functions
Abstract
Set functions predict a label from a permutation-invariant variable-size collection of feature vectors. We propose making set functions more understandable and regularized by capturing domain knowledge through shape constraints. We show how prior work in monotonic constraints can be adapted to set functions, and then propose two new shape constraints designed to generalize the conditioning role of weights in a weighted mean. We show how one can train standard functions and set functions that satisfy these shape constraints with a deep lattice network. We propose a nonlinear estimation strategy we call the semantic feature engine that uses set functions with the proposed shape constraints to estimate labels for compound sparse categorical features. Experiments on real-world data show the achieved accuracy is similar to deep sets or deep neural networks, but provides guarantees on the model behavior, which makes it easier to explain and debug.
Year
Venue
Field
2019
international conference on machine learning
Set function,Pattern recognition,Computer science,Artificial intelligence
DocType
Citations 
PageRank 
Conference
1
0.35
References 
Authors
0
8
Name
Order
Citations
PageRank
Andrew Cotter185178.35
Maya R. Gupta259549.62
Heinrich Jiang3329.45
Erez Louidor421.84
James Muller510.68
Tamann Narayan610.35
Serena Wang744.09
Tao Zhu85812.63