Diffusion-Based EM Algorithm for Distributed Estimation of Gaussian Mixtures in Wireless Sensor Networks
Distributed estimation of Gaussian mixtures has many applications in wireless sensor network (WSN), and its energy-efficient solution is still challenging. This paper presents a novel diffusion-based EM algorithm for this problem. A diffusion strategy is introduced for acquiring the global statistic...
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MDPI AG
2011-06-01
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Series: | Sensors |
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Online Access: | http://www.mdpi.com/1424-8220/11/6/6297/ |
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author | Yang Weng Lihua Xie Wendong Xiao |
author_facet | Yang Weng Lihua Xie Wendong Xiao |
author_sort | Yang Weng |
collection | DOAJ |
description | Distributed estimation of Gaussian mixtures has many applications in wireless sensor network (WSN), and its energy-efficient solution is still challenging. This paper presents a novel diffusion-based EM algorithm for this problem. A diffusion strategy is introduced for acquiring the global statistics in EM algorithm in which each sensor node only needs to communicate its local statistics to its neighboring nodes at each iteration. This improves the existing consensus-based distributed EM algorithm which may need much more communication overhead for consensus, especially in large scale networks. The robustness and scalability of the proposed approach can be achieved by distributed processing in the networks. In addition, we show that the proposed approach can be considered as a stochastic approximation method to find the maximum likelihood estimation for Gaussian mixtures. Simulation results show the efficiency of this approach. |
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format | Article |
id | doaj.art-87daed2654054f8b8fe71d6f62d80e53 |
institution | Directory Open Access Journal |
issn | 1424-8220 |
language | English |
last_indexed | 2024-04-14T01:03:29Z |
publishDate | 2011-06-01 |
publisher | MDPI AG |
record_format | Article |
series | Sensors |
spelling | doaj.art-87daed2654054f8b8fe71d6f62d80e532022-12-22T02:21:19ZengMDPI AGSensors1424-82202011-06-011166297631610.3390/s110606297Diffusion-Based EM Algorithm for Distributed Estimation of Gaussian Mixtures in Wireless Sensor NetworksYang WengLihua XieWendong XiaoDistributed estimation of Gaussian mixtures has many applications in wireless sensor network (WSN), and its energy-efficient solution is still challenging. This paper presents a novel diffusion-based EM algorithm for this problem. A diffusion strategy is introduced for acquiring the global statistics in EM algorithm in which each sensor node only needs to communicate its local statistics to its neighboring nodes at each iteration. This improves the existing consensus-based distributed EM algorithm which may need much more communication overhead for consensus, especially in large scale networks. The robustness and scalability of the proposed approach can be achieved by distributed processing in the networks. In addition, we show that the proposed approach can be considered as a stochastic approximation method to find the maximum likelihood estimation for Gaussian mixtures. Simulation results show the efficiency of this approach.http://www.mdpi.com/1424-8220/11/6/6297/diffusiondistributed processingEM algorithmconsensuswireless sensor networks |
spellingShingle | Yang Weng Lihua Xie Wendong Xiao Diffusion-Based EM Algorithm for Distributed Estimation of Gaussian Mixtures in Wireless Sensor Networks Sensors diffusion distributed processing EM algorithm consensus wireless sensor networks |
title | Diffusion-Based EM Algorithm for Distributed Estimation of Gaussian Mixtures in Wireless Sensor Networks |
title_full | Diffusion-Based EM Algorithm for Distributed Estimation of Gaussian Mixtures in Wireless Sensor Networks |
title_fullStr | Diffusion-Based EM Algorithm for Distributed Estimation of Gaussian Mixtures in Wireless Sensor Networks |
title_full_unstemmed | Diffusion-Based EM Algorithm for Distributed Estimation of Gaussian Mixtures in Wireless Sensor Networks |
title_short | Diffusion-Based EM Algorithm for Distributed Estimation of Gaussian Mixtures in Wireless Sensor Networks |
title_sort | diffusion based em algorithm for distributed estimation of gaussian mixtures in wireless sensor networks |
topic | diffusion distributed processing EM algorithm consensus wireless sensor networks |
url | http://www.mdpi.com/1424-8220/11/6/6297/ |
work_keys_str_mv | AT yangweng diffusionbasedemalgorithmfordistributedestimationofgaussianmixturesinwirelesssensornetworks AT lihuaxie diffusionbasedemalgorithmfordistributedestimationofgaussianmixturesinwirelesssensornetworks AT wendongxiao diffusionbasedemalgorithmfordistributedestimationofgaussianmixturesinwirelesssensornetworks |