Sensors 2013, 13(11), 15172-15186; doi:10.3390/s131115172
Article

Multi-Matrices Factorization with Application to Missing Sensor Data Imputation

1,2,* email, 3email, 4email, 5email, 1email, 1email and 2email
Received: 7 October 2013; in revised form: 28 October 2013 / Accepted: 28 October 2013 / Published: 6 November 2013
(This article belongs to the Section Physical Sensors)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: We formulate a multi-matrices factorization model (MMF) for the missing sensor data estimation problem. The estimation problem is adequately transformed into a matrix completion one. With MMF, an n-by-t real matrix, R, is adopted to represent the data collected by mobile sensors from n areas at the time, T1, T2, ... , Tt, where the entry, Rij, is the aggregate value of the data collected in the ith area at Tj . We propose to approximate R by seeking a family of d-by-n probabilistic spatial feature matrices, U(1), U(2), ... , U(t), and a probabilistic temporal feature matrix, V E Rdxt, where Rj ≈ UT(j)Tj . We also present a solution algorithm to the proposed model. We evaluate MMF with synthetic data and a real-world sensor dataset extensively. Experimental results demonstrate that our approach outperforms the state-of-the-art comparison algorithms.
Keywords: matrix factorization; sensor data; probabilistic graphical model; missing estimation
PDF Full-text Download PDF Full-Text [581 KB, Updated Version, uploaded 21 June 2014 10:06 CEST]
The original version is still available [805 KB, uploaded 21 June 2014 10:06 CEST]

Export to BibTeX |
EndNote


MDPI and ACS Style

Huang, X.-Y.; Li, W.; Chen, K.; Xiang, X.-H.; Pan, R.; Li, L.; Cai, W.-X. Multi-Matrices Factorization with Application to Missing Sensor Data Imputation. Sensors 2013, 13, 15172-15186.

AMA Style

Huang X-Y, Li W, Chen K, Xiang X-H, Pan R, Li L, Cai W-X. Multi-Matrices Factorization with Application to Missing Sensor Data Imputation. Sensors. 2013; 13(11):15172-15186.

Chicago/Turabian Style

Huang, Xiao-Yu; Li, Wubin; Chen, Kang; Xiang, Xian-Hong; Pan, Rong; Li, Lei; Cai, Wen-Xue. 2013. "Multi-Matrices Factorization with Application to Missing Sensor Data Imputation." Sensors 13, no. 11: 15172-15186.

Sensors EISSN 1424-8220 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert