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teaching:projh402 [2021/09/18 18:28] ezimanyi [Dynamic Time Warping for Trajectories] |
teaching:projh402 [2021/09/19 10:47] ezimanyi [Dynamic Time Warping for Trajectories] |
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| - | * {{:teaching:symbolic_trajectories.pdf|}} | + | * R.H. Guting, F Valdés, M.L. Damiani, {{:teaching:symbolic_trajectories.pdf|Symbolic Trajectories}}, ACM Transactions on Spatial Algorithms Systems, (1)2, Article 7, 2015 |
| ===== Trajectory Data Warehouses ===== | ===== Trajectory Data Warehouses ===== | ||
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| ===== Dynamic Time Warping for Trajectories ===== | ===== Dynamic Time Warping for Trajectories ===== | ||
| - | The dynamic time warping (DTW) algorithm is able to find the optimal alignment between two time series. It is often used to determine time series similarity, classification, and to find corresponding regions between two time series. Several dynamic time warping implementations are available. However, DTW has a quadratic time and space complexity that limits its use to small time series data sets. Therefore, a fast approximation of DTW have been proposed that has linear time and space complexity. | + | The dynamic time warping (DTW) algorithm is able to find the optimal alignment between two time series. It is often used to determine time series similarity, classification, and to find corresponding regions between two time series. Several dynamic time warping implementations are available. However, DTW has a quadratic time and space complexity that limits its use to small time series data sets. Therefore, a fast approximation of DTW that has linear time and space complexity has been proposed. |
| The goal of this project is to survey and to prototype in MobilityDB the state of art methods in dynamic time warping. | The goal of this project is to survey and to prototype in MobilityDB the state of art methods in dynamic time warping. | ||
| - | + | * T. Giorgino, [[https://www.jstatsoft.org/article/view/v031i07|Computing and Visualizing Dynamic Time Warping Alignments in R: The dtw Package]], Journal of Statistical Software, (31)7, 2009. | |
| - | * A. Vaisman and E. Zimányi. [[https://www.mdpi.com/2220-9964/8/4/170|Mobility data warehouses]]. ISPRS International Journal of GeoInformation, 8(4), 2019. | + | * S. Salvador, P. Chan, [[https://cs.fit.edu/~pkc/papers/tdm04.pdf|FastDTW: Toward Accurate Dynamic Time Warping in Linear Time and Space]], Intelligent Data Analysis, 11(5):561-580, 2007. |
| - | * [[https://www.dma.dk/SikkerhedTilSoes/Sejladsinformation/AIS/Sider/default.aspx|Danish Maritine Authority]] | + | * D.F. Silva, G.E.A.P.A. Batista, [[http://sites.labic.icmc.usp.br/dfs/pdf/SDM_PrunedDTW.pdf|Speeding Up All-Pairwise Dynamic Time Warping Matrix Calculation]], Proceedings of the 2016 SIAM International Conference on Data Mining, 837-845, 2016. |
| - | * [[https://github.com/MobilityDB/MobilityDB-workshop|MobilityDB Workshop]] | + | * G. Al-Naymat, S. Chawla, J. Taheri (2012). [[https://arxiv.org/abs/1201.2969|SparseDTW: A Novel Approach to Speed up Dynamic Time Warping]]. CoRR abs/1201.2969, 2012. |
| + | * M. Müller, H. Mattes, F. Kurth, [[https://www.audiolabs-erlangen.de/content/05-fau/professor/00-mueller/03-publications/2006_MuellerMattesKurth_MultiscaleAudioSynchronization_ISMIR.pdf|An Efficient Multiscale Approach to Audio Synchronization]]. Proceedings of the International Conference on Music Information Retrieval (ISMIR), pp. 192—197, 2006. | ||
| ===== Geospatial Trajectory Similarity Measure ===== | ===== Geospatial Trajectory Similarity Measure ===== | ||