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Similar trajectory search is a fundamental problem and has been well studied over the past two decades. However, the similar subtrajectory search (SimSub) problem, aiming to return a portion of a trajectory (i.e., a subtrajectory) which is…

Databases · Computer Science 2020-07-15 Zheng Wang , Cheng Long , Gao Cong , Yiding Liu

In this paper, we address a similarity search problem for spatial trajectories in road networks. In particular, we focus on the subtrajectory similarity search problem, which involves finding in a database the subtrajectories similar to a…

Databases · Computer Science 2020-07-13 Satoshi Koide , Chuan Xiao , Yoshiharu Ishikawa

Similarity search is the problem of finding in a collection of objects those that are similar to a given query object. It is a fundamental problem in modern applications and the objects considered may be as diverse as locations in space,…

Databases · Computer Science 2024-08-15 Ralf Hartmut Güting , Suvam Kumar Das , Fabio Valdés , Suprio Ray

This paper proposes a general framework for matching similar subsequences in both time series and string databases. The matching results are pairs of query subsequences and database subsequences. The framework finds all possible pairs of…

Databases · Computer Science 2012-08-02 Haohan Zhu , George Kollios , Vassilis Athitsos

With recent advances in sensing and tracking technology, trajectory data is becoming increasingly pervasive and analysis of trajectory data is becoming exceedingly important. A fundamental problem in analyzing trajectory data is that of…

Computational Geometry · Computer Science 2013-03-08 Swaminathan Sankararaman , Pankaj K. Agarwal , Thomas Mølhave , Arnold P. Boedihardjo

We study the problem of sub-trajectory nearest-neighbor queries on polygonal curves under the continuous Fr\'echet distance. Given an $n$ vertex trajectory $P$ and an $m$ vertex query trajectory $Q$, we seek to report a vertex-aligned…

Computational Geometry · Computer Science 2024-01-17 Joachim Gudmundsson , John Pfeifer , Martin P. Seybold

We study the problem of finding the $k$ most similar trajectories to a given query trajectory. Our work is inspired by the work of Grossi et al. [6] that considers trajectories as walks in a graph. Each visited vertex is accompanied by a…

Data Structures and Algorithms · Computer Science 2020-10-20 Lutz Oettershagen , Anne Driemel , Petra Mutzel

Trajectories that capture object movement have numerous applications, in which similarity computation between trajectories often plays a key role. Traditionally, the similarity between two trajectories is quantified by means of heuristic…

Databases · Computer Science 2024-06-13 Yanchuan Chang , Egemen Tanin , Gao Cong , Christian S. Jensen , Jianzhong Qi

Edit distance similarity search, also called approximate pattern matching, is a fundamental problem with widespread database applications. The goal of the problem is to preprocess $n$ strings of length $d$, to quickly answer queries $q$ of…

Data Structures and Algorithms · Computer Science 2020-07-10 Samuel McCauley

In the last twenty years, data series similarity search has emerged as a fundamental operation at the core of several analysis tasks and applications related to data series collections. Many solutions to different mining problems work by…

Databases · Computer Science 2020-09-25 Michele Linardi

Similarity query is the family of queries based on some similarity metrics. Unlike the traditional database queries which are mostly based on value equality, similarity queries aim to find targets "similar enough to" the given data objects,…

Databases · Computer Science 2022-04-19 Yifan Wang

Similarity search is a fundamental but expensive operator in querying trajectory data, due to its quadratic complexity of distance computation. To mitigate the computational burden for long trajectories, neural networks have been widely…

Artificial Intelligence · Computer Science 2024-11-06 Zhihao Chang , Linzhu Yu , Huan Li , Sai Wu , Gang Chen , Dongxiang Zhang

Detecting commuting patterns or migration patterns in movement data is an important problem in computational movement analysis. Given a trajectory, or set of trajectories, this corresponds to clustering similar subtrajectories. We study…

Computational Geometry · Computer Science 2021-11-01 Joachim Gudmundsson , Sampson Wong

Exact nearest neighbor search is a computationally intensive process, and even its simpler sibling -- vector retrieval -- can be computationally complex. This is exacerbated when retrieving vectors which have high-dimension $d$ relative to…

Computation and Language · Computer Science 2024-05-08 Richard Zhu

Trajectory similarity is fundamental to many spatio-temporal data mining applications. Recent studies propose deep learning models to approximate conventional trajectory similarity measures, exploiting their fast inference time once…

Machine Learning · Computer Science 2025-07-08 Yanchuan Chang , Xu Cai , Christian S. Jensen , Jianzhong Qi

Map matching is a common preprocessing step for analysing vehicle trajectories. In the theory community, the most popular approach for map matching is to compute a path on the road network that is the most spatially similar to the…

Computational Geometry · Computer Science 2024-01-26 Joachim Gudmundsson , Martin P. Seybold , Sampson Wong

We present a near-linear time approximation algorithm for the subtrajectory cluster problem of $c$-packed trajectories. The problem involves finding $m$ subtrajectories within a given trajectory $T$ such that their Fr\'echet distances are…

Data Structures and Algorithms · Computer Science 2023-07-21 Joachim Gudmundsson , Zijin Huang , André van Renssen , Sampson Wong

We revisit the classic combinatorial pattern matching problem of finding a longest common subsequence (LCS). For strings $x$ and $y$ of length $n$, a textbook algorithm solves LCS in time $O(n^2)$, but although much effort has been spent,…

Computational Complexity · Computer Science 2018-03-05 Karl Bringmann , Marvin Künnemann

We consider a similarity measure between two sets $A$ and $B$ of vectors, that balances the average and maximum cosine distance between pairs of vectors, one from set $A$ and one from set $B$. As a motivation for this measure, we present…

Data Structures and Algorithms · Computer Science 2021-08-31 Michael Leybovich , Oded Shmueli

Trajectory classification tasks became more complex as large volumes of mobility data are being generated every day and enriched with new sources of information, such as social networks and IoT sensors. Fast classification algorithms are…

Machine Learning · Computer Science 2021-02-10 Tarlis Portela , Jonata Tyska , Vania Bogorny
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