# Metadata - Title: Submodular Optimization with Submodular Cover and Submodular Knapsack Constraints - Authors: Rishabh K. Iyer, Jeff A. Bilmes - Year: 2013 - Venue: NeurIPS 2013 - Primary group: submodular - Secondary tags: cover, knapsack, constrained-optimization, difference-of-submodular - Problem: minimizing a submodular cost under a submodular cover constraint and maximizing under a submodular knapsack constraint - Main guarantee: bounded approximation guarantees for SCSC and SCSK, tight up to log factors - Key techniques: constrained reformulation of DS optimization, reduction between cover and knapsack variants, hardness plus approximation analysis - Status: processed-deep - Tags: #submodular #cover #knapsack #constraints #approximation - Inbox source: inbox/NIPS-2013-submodular-optimization-with-submodular-cover-and-submodular-knapsack-constraints-Paper.pdf