Consensus optimization on manifolds - Mathematics > Optimization and ControlReportar como inadecuado




Consensus optimization on manifolds - Mathematics > Optimization and Control - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: The present paper considers distributed consensus algorithms that involve Nagents evolving on a connected compact homogeneous manifold.
The agents trackno external reference and communicate their relative state according to acommunication graph.
The consensus problem is formulated in terms of theextrema of a cost function.
This leads to efficient gradient algorithms tosynchronize i.e.
maximizing the consensus or balance i.e.
minimizing theconsensus the agents; a convenient adaptation of the gradient algorithms isused when the communication graph is directed and time-varying.
The costfunction is linked to a specific centroid definition on manifolds, introducedhere as the induced arithmetic mean, that is easily computable in closed formand may be of independent interest for a number of manifolds.
The specialorthogonal group SOn and the Grassmann manifold Grp,n are treated asoriginal examples.
A link is also drawn with the many existing results on thecircle.



Autor: Alain Sarlette, Rodolphe Sepulchre

Fuente: https://arxiv.org/



DESCARGAR PDF




Documentos relacionados