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Journal ArticleDOI

Trajectory similarity measures

Kevin Toohey, +1 more
- 20 May 2015 - 
- Vol. 7, Iss: 1, pp 43-50
TLDR
This paper introduces and compares four of the most common measures of trajectory similarity: longest common subsequence (LCSS), Fréchet distance, dynamic time warping (DTW), and edit distance, implemented in a new open source R package.
Abstract
Storing, querying, and analyzing trajectories is becoming increasingly important, as the availability and volumes of trajectory data increases. One important class of trajectory analysis is computing trajectory similarity. This paper introduces and compares four of the most common measures of trajectory similarity: longest common subsequence (LCSS), Frechet distance, dynamic time warping (DTW), and edit distance. These four measures have been implemented in a new open source R package, freely available on CRAN [19]. The paper highlights some of the differences between these four similarity measures, using real trajectory data, in addition to indicating some of the important emerging applications for measurement of trajectory similarity.

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Citations
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Spatio-Temporal Data Mining: A Survey of Problems and Methods

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Spatio-Temporal Data Mining: A Survey of Problems and Methods

TL;DR: A broad survey of this relatively young field of spatio-temporal data mining is presented and literature is classified into six major categories: clustering, predictive learning, change detection, frequent pattern mining, anomaly detection, and relationship mining.
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TL;DR: It is argued that privacy-preserving synthesis of complete location traces can be an effective solution to this problem, and AdaTrace, a scalable location trace synthesizer with three novel features: provable statistical privacy, deterministic attack resilience, and strong utility preservation is presented.
References
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Proceedings Article

Using dynamic time warping to find patterns in time series

TL;DR: Preliminary experiments with a dynamic programming approach to pattern detection in databases, based on the dynamic time warping technique used in the speech recognition field, are described.
Journal ArticleDOI

Exact indexing of dynamic time warping

TL;DR: This work introduces a novel technique for the exact indexing of Dynamic time warping and proves its vast superiority over all competing approaches in the largest and most comprehensive set of time series indexing experiments ever undertaken.
Proceedings ArticleDOI

Fast subsequence matching in time-series databases

TL;DR: An efficient indexing method to locate 1-dimensional subsequences within a collection of sequences, such that the subsequences match a given (query) pattern within a specified tolerance.
Proceedings ArticleDOI

Discovering similar multidimensional trajectories

TL;DR: This work formalizes non-metric similarity functions based on the longest common subsequence (LCSS), which are very robust to noise and furthermore provide an intuitive notion of similarity between trajectories by giving more weight to similar portions of the sequences.
Proceedings ArticleDOI

Robust and fast similarity search for moving object trajectories

TL;DR: Analysis and comparison of EDR with other popular distance functions, such as Euclidean distance, Dynamic Time Warping (DTW), Edit distance with Real Penalty (ERP), and Longest Common Subsequences, indicate that EDR is more robust than Euclideans distance, DTW and ERP, and it is on average 50% more accurate than LCSS.
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