Nathan Krislock

  1. Explicit Sensor Network Localization using Semidefinite Representations and Facial Reductions.

    Authors: Nathan Krislock, Henry Wolkowicz
    Subjects: Optimization and Control
    Abstract

    The sensor network localization, SNL, problem in embedding dimension r,
    consists of locating the positions of wireless sensors, given only the
    distances between sensors that are within radio range and the positions of a
    subset of the sensors (called anchors). Current solution techniques relax this
    problem to a weighted, nearest, (positive) semidefinite programming, SDP,
    completion problem, by using the linear mapping between Euclidean distance
    matrices, EDM, and semidefinite matrices.

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