Submodular Hamming Metrics

NeurIPS 2015 Jennifer GillenwaterRishabh IyerBethany LuschRahul KidambiJeff Bilmes

We show that there is a largely unexplored class of functions (positive polymatroids) that can define proper discrete metrics over pairs of binary vectors and that are fairly tractable to optimize over. By exploiting submodularity, we are able to give hardness results and approximation algorithms for optimizing over such metrics... (read more)

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