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    Distributed Submodular Minimization And Motion Planning Over Discrete State Space

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    Type
    Article
    Authors
    Jaleel, Hassan
    Shamma, Jeff S. cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Center of Excellence for NEOM Research
    Date
    2019-08-08
    Online Publication Date
    2019-08-08
    Print Publication Date
    2019
    Permanent link to this record
    http://hdl.handle.net/10754/656558
    
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    Abstract
    We develop a framework for the distributed minimization of submodular functions. Submodular functions are a discrete analog of convex functions and are extensively used in large-scale combinatorial optimization problems. While there has been a significant interest in the distributed formulations of convex optimization problems, distributed minimization of submodular functions has received relatively little research attention. Our framework relies on an equivalent convex reformulation of a submodular minimization problem, which is efficiently computable. We then use this relaxation to exploit methods for the distributed optimization of convex functions. The proposed framework is applicable to submodular set functions as well as to a wider class of submodular functions defined over certain lattices. We also propose an approach for solving distributed motion planning problems in discrete state space based on submodular function minimization. We establish through a challenging setup of the capture the flag game that submodular functions over lattices can be used to design artificial potential fields for multiagent systems with discrete inputs. These potential fields are desig
    Citation
    Jaleel, H., & Shamma, J. S. (2019). Distributed Submodular Minimization And Motion Planning Over Discrete State Space. IEEE Transactions on Control of Network Systems, 1–1. doi:10.1109/tcns.2019.2933993
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Control of Network Systems
    DOI
    10.1109/tcns.2019.2933993
    Additional Links
    https://ieeexplore.ieee.org/document/8792203/
    ae974a485f413a2113503eed53cd6c53
    10.1109/tcns.2019.2933993
    Scopus Count
    Collections
    Articles; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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