Submodular Hamming Metrics

Jennifer A. Gillenwater, Rishabh K. Iyer, Bethany Lusch, Rahul Kidambi, Jeff A. Bilmes

Neural Information Processing Systems 

We show that there is a largely unexplored class of functions (positive polyma-troids) that can define proper discrete metrics over pairs of binary vectors and that are fairly tractable to optimize over.

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