2016
DOI: 10.1016/j.physa.2015.09.105
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Tensor based missing traffic data completion with spatial–temporal correlation

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Cited by 119 publications
(49 citation statements)
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“…The covariance matrix C_T was calculated from the most relevant spatial series and the ratio of statistical expectation a j and covariance C j by using the most relevant spatial series and the missing spatial series (Lines 6-9 of Algorithm 4). Then, we joined these values into matrix Formula (20) and solved this matrix to get parameter ϕ j (Lines 10-12 of Algorithm 4). Finally, through Formula (17), interpolation result V 4,6 was calculated as…”
Section: Fine-grained Temporal Dimension Interpolationmentioning
confidence: 99%
See 1 more Smart Citation
“…The covariance matrix C_T was calculated from the most relevant spatial series and the ratio of statistical expectation a j and covariance C j by using the most relevant spatial series and the missing spatial series (Lines 6-9 of Algorithm 4). Then, we joined these values into matrix Formula (20) and solved this matrix to get parameter ϕ j (Lines 10-12 of Algorithm 4). Finally, through Formula (17), interpolation result V 4,6 was calculated as…”
Section: Fine-grained Temporal Dimension Interpolationmentioning
confidence: 99%
“…In recent years, a number of studies have extended single dimension interpolation methods to consider both space and time; for example, spatio-temporal probabilistic principal component regression (ST-PCR), spatio-temporal IDW (ST-IDW), spatio-temporal kriging (ST-kriging) and the spatio-temporal heterogeneous covariance method (ST-HC) [2,3,7,9,10,[20][21][22]. ST-PCR [9] is a statistical learning-based method, which takes advantage of the statistical feature of observed data.…”
Section: Introductionmentioning
confidence: 99%
“…It can predict the nodes that should have responded in due course of time but have not by reconstructing the inherent nature of waveform which is spatially and temporally correlated. Ran et al [22] have used a similar approach where they fused traffic flow data received from multiple sensing locations to reconstruct the missing traffic data using full spatial and temporal information of traffic flow. We explore spatial temporal correlation for reliable object detection and reconstruction of its possible trajectory in progressing series of time.…”
Section: The Aspect Of Reliabilitymentioning
confidence: 99%
“…As multiway matrices, tensor can take full advantage of the temporal and spatial information of traffic flow data to impute the missing data with a higher precision. Subsequently, Tan et al [17,18] proposed several other tensor-based imputation methods according to different perspectives and tested the proposed methods using the traffic data from PeMS, and the results show that these methods have good performance under extreme conditions. In 2015, Tang et al [19] proposed a missing traffic imputation method based on the fuzzymeans (FCM) optimized by the genetic algorithm.…”
Section: Introductionmentioning
confidence: 99%