Fast, Provable Algorithms for Isotonic Regression in all L_p-norms

Rasmus Kyng, Anup Rao, Sushant Sachdeva

Neural Information Processing Systems 

Given a directed acyclic graph G, and a set of values y on the vertices, the Isotonic Regression of y is a vector x that respects the partial order described by G, and minimizes nullx y null, for a specified norm.

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