Distributed regression in sensor networks with a reduced-order kernel model
Résumé
Over the past few years, wireless sensor networks received tremendous attention for monitoring physical phenomena, such as the temperature field in a given region. Applying conventional kernel regression methods for functional learning such as support vector machines is inappropriate for sensor networks, since the order of the resulting model and its computational complexity scales badly with the number of available sensors, which tends to be large. In order to circumvent this drawback, we propose in this paper a reduced-order model approach. To this end, we take advantage of recent developments in sparse representation literature, and show the natural link between reducing the model order and the topology of the deployed sensors. To learn this model, we derive a gradient descent scheme and show its efficiency for wireless sensor networks. We illustrate the proposed approach through simulations involving the estimation of a spatial temperature distribution.
Mots clés
sparsity
adaptive filtering
gradient methods
regression analysis
distributed regression
reduced-order kernel model
kernel regression methods
gradient descent scheme
Kernel
Sensor phenomena and characterization
Wireless sensor networks
Monitoring
Temperature sensors
Machine learning
Support vector machines
Computational modeling
Computational complexity
Reduced order systems
Origine | Fichiers produits par l'(les) auteur(s) |
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