# Metadata - Title: Linear Query Approximation Algorithms for Non-monotone Submodular Maximization under Knapsack Constraint - Authors: Canh V. Pham, Tan D. Tran, Dung T. K. Ha, My T. Thai - Year: 2023 - Venue: Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence (IJCAI 2023) - Primary group: submodular - Secondary tags: non-monotone, knapsack, linear-query, deterministic, randomized, thresholding - Problem: non-monotone submodular maximization under a single knapsack constraint with emphasis on reducing oracle-query complexity - Main guarantee: introduces a deterministic algorithm DLA with approximation factor 6 + epsilon and a randomized algorithm RLA with approximation factor 4 + epsilon, both within O(n log(1/epsilon) / epsilon) query complexity - Key techniques: linear-query coarse approximation via ground-set splitting, threshold greedy over disjoint candidate sets, randomized rescanning to improve deterministic baseline - Status: processed-deep - Tags: #submodular #non-monotone #knapsack #linear-query #thresholding #randomized - Inbox source: inbox/1. SMK23.pdf