Math @ Duke

Publications [#336325] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Fox, K; Munagala, K; Nath, A; Pan, J; Taylor, E, Subtrajectory clustering: Models and algorithms,
Proceedings of the Acm Sigact Sigmod Sigart Symposium on Principles of Database Systems
(May, 2018),
pp. 7587, ACM Press, ISBN 9781450347068 [doi]
(last updated on 2019/04/24)
Abstract: © 2018 Association for Computing Machinery. We propose a model for subtrajectory clustering'the clustering of subsequences of trajectories; each cluster of subtrajectories is represented as a pathlet, a sequence of points that is not necessarily a subsequence of an input trajectory. Given a set of trajectories, our clustering model attempts to capture the shared portions between them by assuming each trajectory is a concatenation of a small set of pathlets, with possible gaps in between. We present a single objective function for finding the optimal collection of pathlets that best represents the trajectories taking into account noise and other artifacts of the data. We show that the subtrajectory clustering problem is NPHard and present fast approximation algorithms for subtrajectory clustering. We further improve the running time of our algorithm if the input trajectories are “wellbehaved." Finally, we present experimental results on both real and synthetic data sets. We show via visualization and quantitative analysis that the algorithm indeed handles the desiderata of being robust to variations, being efficient and accurate, and being datadriven.


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