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The solution path of the least square problem under $\ell_{p}$ -regularization $(0<p<1)$ is studied, where the Lagrangian multiplier $\lambda$ due to the constraint is the parameter of the path. It is first proven that the least square solution of an unconstrained overdetermined linear system is connected with the origin, under a mild condition, by a continuous path of critical points of...
A distributed Voronoi-based sensor deployment approach is proposed to optimize sensor network coverage. It is assumed that each sensor can construct its Voronoi polygon using the information it receives from the neighboring sensors. To increase the local coverage of the sensors, it is desired to find a point in each polygon, such that if the corresponding sensor is placed there, then its covered area...
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