Results 51 to 60 of about 5,397,625 (216)

On maximizing a monotone $k$-submodular function under a knapsack constraint [PDF]

open access: yes, 2023
We study the problem of maximizing a non-negative monotone $k$-submodular function $f$ under a knapsack constraint, where a $k$-submodular function is a natural generalization of a submodular function to $k$ dimensions.
Chan, Hau   +2 more
core  

Submodular Optimization Approach for Entity Summarization in Knowledge Graph Driven by Large Language Models [PDF]

open access: yesJisuanji kexue yu tansuo
The continuous expansion of the knowledge graph has made entity summarization a research hotspot. The goal of entity summarization is to obtain a brief description of an entity from large-scale triple-structured facts that describe it.
ZHANG Qi, ZHONG Hao
doaj   +1 more source

A Truthful Reverse Auction Mechanism for Federated Learning Utility Maximization Resource Allocation in Edge–Cloud Collaboration

open access: yesMathematics, 2023
Federated learning is a promising technique in cloud computing and edge computing environments, and designing a reasonable resource allocation scheme for federated learning is particularly important.
Linjie Liu   +3 more
doaj   +1 more source

Symmetric Submodular Functions, Uncrossable Functions, and Structural Submodularity

open access: yesCoRR
Diestel, et al. (see Order 35 (2017), JCT-A 167 (2019), arXiv:1805.01439) introduced the notion of abstract separation systems that satisfy a submodularity property, and they call this structural submodularity. Williamson, Goemans, Mihail, and Vazirani (Combinatorica 15 (1995)) call a family of sets $\mathcal{F}$ uncrossable if the following holds: for
Miles Simmons   +2 more
openaire   +3 more sources

Quantitative approximation by nonlinear Angheluta-Choquet singular integrals

open access: yesJournal of Numerical Analysis and Approximation Theory, 2020
By using the concept of nonlinear Choquet integral with respect to a capacity and as a generalization of the Poisson-Cauchy-Choquet operators, we introduce the nonlinear Angheluta-Choquet singular integrals with respect to a family of submodular set ...
Sorin Gal, Ionut Iancu
doaj   +7 more sources

Team Composition in PES2018 Using Submodular Function Optimization

open access: yesIEEE Access, 2019
With the development of computer game technologies, gameplay becomes very realistic in many sports games, therefore providing appealing play experience to game players.
Yifeng Zeng   +3 more
doaj   +1 more source

Bicriteria Algorithms for Approximately Submodular Cover Under Streaming Model

open access: yesTsinghua Science and Technology, 2023
In this paper, we mainly investigate the optimization model that minimizes the cost function such that the cover function exceeds a required threshold in the set cover problem, where the cost function is additive linear, and the cover function is non ...
Yijing Wang   +3 more
doaj   +1 more source

Constrained robust submodular sensor selection with application to multistatic sonar arrays

open access: yesIET Radar, Sonar & Navigation, 2017
The authors develop a framework to select a subset of sensors from a field in which the sensors have an ingrained independence structure. Given an arbitrary independence pattern, the authors construct a graph that denotes pairwise independence between ...
Thomas Powers   +3 more
doaj   +1 more source

Horn functions and submodular boolean functions

open access: yesTheoretical Computer Science, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oya Ekin, Peter L. Hammer, Uri N. Peled
openaire   +2 more sources

Multipass Streaming Algorithms for Regularized Submodular Maximization

open access: yesTsinghua Science and Technology
In this work, we study a k-Cardinality Constrained Regularized Submodular Maximization (k-CCRSM) problem, in which the objective utility is expressed as the difference between a non-negative submodular and a modular function.
Qinqin Gong   +3 more
doaj   +1 more source

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