Submodular maximization in clean linear time

W Li, M Feldman, E Kazemi… - Advances in Neural …, 2022 - proceedings.neurips.cc
In this paper, we provide the first deterministic algorithm that achieves $1/2$-approximation
for monotone submodular maximization subject to a knapsack constraint, while making a …

Opinion Summarization via Submodular Information Measures

Y Zhao, TWS Chow - IEEE Transactions on Knowledge and …, 2023 - ieeexplore.ieee.org
This paper focuses on opinion summarization for constructing subjective and concise
summaries representing essential opinions of online text reviews. As previous works rarely …

Monotone k-Submodular Knapsack Maximization: An Analysis of the Greedy+Singleton Algorithm

J Chen, Z Tang, C Wang - International Conference on Algorithmic …, 2022 - Springer
This paper studies the problem of maximizing a non-negative monotone k-submodular
function. A k-submodular function is a generalization of a submodular function, where the …

Practical budgeted submodular maximization

M Feldman, Z Nutov, E Shoham - Algorithmica, 2023 - Springer
We consider the problem of maximizing a non-negative monotone submodular function
subject to a knapsack constraint, which is also known as the Budgeted Submodular …

An Improved Analysis of the Greedy+Singleton Algorithm for k-Submodular Knapsack Maximization

Z Tang, J Chen, C Wang - International Workshop on Frontiers in …, 2023 - Springer
We focus on maximizing a non-negative k-submodular function under a knapsack constraint.
As a generalization of submodular functions, ak-submodular function considers k distinct …

Greedy+ Singleton: An efficient approximation algorithm for k-submodular knapsack maximization

Z Tang, J Chen, C Wang - Theoretical Computer Science, 2024 - Elsevier
A k-submodular function takes k distinct, non-overlapping subsets of a ground set as input
and outputs a value. It is a generalization of the well-known submodular function, which is …

1 School of Science, Beijing University of Posts and Telecommunications, 2

Z Tang¹, J Chen, C Wang - … -FAW 2023 Macau, China, August 14 …, 2023 - books.google.com
We focus on maximizing a non-negative k-submodular function under a knapsack constraint.
As a generalization of submodular functions, a k-submodular function considers k distinct …

Energy-constrained geometric coverage problem

H Lan - International Conference on Algorithmic Applications in …, 2022 - Springer
Wireless sensor networks have many applications in real life. We are given m sensors and n
users on the plane. The coverage of each sensor s is a disc area, whose radius r (s) and …

Fair Representation in Submodular Subset Selection: A Pareto Optimization Approach

A Fazzone, Y Wang, F Bonchi - OPT 2023: Optimization for Machine … - openreview.net
In this paper, we study a novel multi-objective combinatorial optimization problem called
Submodular Maximization with Fair Representation (SMFR), which selects subsets of …

Simple Deterministic Approximation for Submodular Multiple Knapsack Problem

X Sun, J Zhang, Z Zhang - arXiv preprint arXiv:2003.11450, 2020 - arxiv.org
Submodular maximization has been a central topic in theoretical computer science and
combinatorial optimization over the last decades. Plenty of well-performed approximation …