# Metadata - Title: A Generalization of Submodular Cover via the Diminishing Return Property on the Integer Lattice - Authors: Tasuku Soma, Yuichi Yoshida - Year: 2015 - Venue: NeurIPS 2015 - Primary group: dr-submodular - Secondary tags: integer-lattice, cover, bicriteria, machine-learning-applications - Problem: generalized submodular cover on the integer lattice under a diminishing-returns property - Main guarantee: bicriteria log-factor approximation with much better dependence on the lattice range than naive reductions - Key techniques: DR property on integer lattice, threshold-based greedy selection, bicriteria analysis - Status: processed-deep - Tags: #dr-submodular #integer-lattice #cover #bicriteria #approximation - Inbox source: inbox/dr-sub.pdf