Model ensemble for an effective on-line reconstruction of missing data in sensor networks

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Presentation transcript:

Model ensemble for an effective on-line reconstruction of missing data in sensor networks Author 1, Author 2, Author 3 Affiliation k-NN classifiers associate a classification label to an input as the majority of its k nearest training samples No proper training phase – Reduced computational complexity Consistency: Bayes errore class point Leave-One-Out (LOO) Fukunaga et Al. Lack of theoretical results How to select k given n? The proposed algorithm The Distributed Change-Detection Test: Each unit: configure the ICI-based CDT using {, 1≤ i≤ N}; Each unit: send feature extracted from to the cluster-head. while(units acquire new observations at time T){ Each unit: run the ICI-based CDT at time T; let ST be the set of units where the ICI-based CDT detects a change at time T; if (ST is not empty) { Each unit in ST: run the refinement procedure, sent Tref,i to the cluster-head. Cluster-head: compute Tref out of Tref,i, 1≤ i≤ N , send Tref to each unit. Each unit: send to the cluster-head the values in [Tref ,T] of the feature detecting the change. Cluster-head: run the Hotelling T2 test to assess stationarity of features if (second-level test detects a change){ Change is validated. Each unit in ST the ICI-based CDT is re-trained on the new process status} else{ Change is discarded (false positive); Each unit in ST: reconfigure the ICI-based CDT to improve its performance }}} Configuration Execution Cluster head Sensing node 4 Sensing node 2 Sensing node 1 Sensing node 5 Sensing node 3 Network in stationary conditions . Cluster head Sensing node 4 Sensing node 2 Sensing node 1 Sensing node 5 Sensing node 3 H.T. Experimental Results a) a mono-dimensional classification problem with equi-probable classes ruled by Gaussian distributions (with T=[-4,6]: , b) a two-dimensional classification problem characterized by the two equi-probable classes ruled by chi-square distributions: The theoretical derivation is experimentally sound Number of k within [Pe(ko),Pe(ko)+δ] Pe(k) w.r.t. k ko w.r.t. n Number of k within [Pe(ko),Pe(ko)+δ] Pe(k) w.r.t. k ko w.r.t. n