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Distributed sparse random projections for refinable approximation

Published: 25 April 2007 Publication History

Abstract

Consider a large-scale wireless sensor network measuring compressible data, where n distributed data values can be well-approximated using only k « n coefficients of some known transform. We address the problem of recovering an approximation of the n data values by querying any L sensors, so that the reconstruction error is comparable to the optimal k-term approximation. To solve this problem, we present a novel distributed algorithm based on sparse random projections, which requires no global coordination or knowledge. The key idea is that the sparsity of the random projections greatly reduces the communication cost of pre-processing the data. Our algorithm allows the collector to choose the number of sensors to query according to the desired approximation error. The reconstruction quality depends only on the number of sensors queried, enabling robust refinable approximation.

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cover image ACM Conferences
IPSN '07: Proceedings of the 6th international conference on Information processing in sensor networks
April 2007
592 pages
ISBN:9781595936387
DOI:10.1145/1236360
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 25 April 2007

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Author Tags

  1. AMS sketching
  2. compressed sensing
  3. refinable approximation
  4. sparse random projections
  5. wireless sensor networks

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Overall Acceptance Rate 143 of 593 submissions, 24%

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  • (2021)Distributed and Cooperative Compressive Sensing Recovery Algorithm for Wireless Sensor Networks with Bi-directional Incremental TopologySignal and Data Processing10.52547/jsdp.18.3.6518:3(65-76)Online publication date: 1-Dec-2021
  • (2021)Highly Efficient Spatial–Temporal Correlation Basis for 5G IoT NetworksSensors10.3390/s2120689921:20(6899)Online publication date: 18-Oct-2021
  • (2020)Fully distributed sleeping compressive data gathering in wireless sensor networksIET Communications10.1049/iet-com.2019.007714:5(830-837)Online publication date: Mar-2020
  • (2018)Compressed Sensing Based Joint Rate Allocation and Routing Design in Wireless Sensor NetworksWireless Communications & Mobile Computing10.1155/2018/62614532018(22)Online publication date: 1-Mar-2018
  • (2017)Energy-Efficient Collection of Sparse Data in Wireless Sensor Networks Using Sparse Random MatricesACM Transactions on Sensor Networks10.1145/308557613:3(1-36)Online publication date: 16-Aug-2017
  • (2017)Coflow-aware dynamic routing for SDN-based data center networks2017 9th International Conference on Wireless Communications and Signal Processing (WCSP)10.1109/WCSP.2017.8171151(1-6)Online publication date: Oct-2017
  • (2017)Traffic estimation in road networks via compressive sensing2017 9th International Conference on Wireless Communications and Signal Processing (WCSP)10.1109/WCSP.2017.8171137(1-6)Online publication date: Oct-2017
  • (2017)SAILoc: A novel acoustic single array system for indoor localization2017 9th International Conference on Wireless Communications and Signal Processing (WCSP)10.1109/WCSP.2017.8171099(1-6)Online publication date: Oct-2017
  • (2017)Routing aware space-time compressive sensing for Wireless Sensor Networks2017 IEEE 28th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)10.1109/PIMRC.2017.8292355(1-6)Online publication date: Oct-2017
  • (2017)A Data gathering algorithm based on compressive sensing in lossy wireless sensor networks2017 2nd International Conference on Frontiers of Sensors Technologies (ICFST)10.1109/ICFST.2017.8210492(146-153)Online publication date: Apr-2017
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