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The vast increase in our ability to obtain and store trajectory data necessitates trajectory analytics techniques to extract useful information from this data. Pair-wise distance functions are a foundation building block for common…

Databases · Computer Science 2018-12-19 Pedram Gharani , Kenrick Fernande , Vineet Raghu

Semantic trajectories are high level representations of user movements where several aspects related to the movement context are represented as heterogeneous textual labels. With the objective of finding a meaningful similarity measure for…

Social and Information Networks · Computer Science 2018-09-06 Andrea Esuli , Lucas May Petry , Chiara Renso , Vania Bogorny

Identifying mobility behaviors in rich trajectory data is of great economic and social interest to various applications including urban planning, marketing and intelligence. Existing work on trajectory clustering often relies on similarity…

Machine Learning · Computer Science 2020-03-04 Mingxuan Yue , Yaguang Li , Haoze Yang , Ritesh Ahuja , Yao-Yi Chiang , Cyrus Shahabi

Proximities are at the heart of almost all machine learning methods. If the input data are given as numerical vectors of equal lengths, euclidean distance, or a Hilbertian inner product is frequently used in modeling algorithms. In a more…

Machine Learning · Computer Science 2020-09-01 Maximilian Münch , Michiel Straat , Michael Biehl , Frank-Michael Schleif

Similar subtrajectory search is a finer-grained operator that can better capture the similarities between one query trajectory and a portion of a data trajectory than the traditional similar trajectory search, which requires the two checked…

Databases · Computer Science 2023-08-09 Jiabao Jin , Peng Cheng , Lei Chen , Xuemin Lin , Wenjie Zhang

Existing deep embedding methods in vision tasks are capable of learning a compact Euclidean space from images, where Euclidean distances correspond to a similarity metric. To make learning more effective and efficient, hard sample mining is…

Computer Vision and Pattern Recognition · Computer Science 2016-10-28 Chen Huang , Chen Change Loy , Xiaoou Tang

Comparing two geometric graphs embedded in space is important in the field of transportation network analysis. Given street maps of the same city collected from different sources, researchers often need to know how and where they differ.…

Computational Geometry · Computer Science 2015-02-17 Mahmuda Ahmed , Brittany Terese Fasy , Kyle S. Hickmann , Carola Wenk

Trajectory similarity measures act as query predicates in trajectory databases, making them the key player in determining the query results. They also have a heavy impact on the query efficiency. An ideal measure should have the capability…

Databases · Computer Science 2023-02-21 Yanchuan Chang , Jianzhong Qi , Yuxuan Liang , Egemen Tanin

We develop a new class of distances for objects including lines, hyperplanes, and trajectories, based on the distance to a set of landmarks. These distances easily and interpretably map objects to a Euclidean space, are simple to compute,…

Computational Geometry · Computer Science 2019-06-13 Jeff M. Phillips , Pingfan Tang

Similarity distance measure between two trajectories is an essential tool to understand patterns in motion, for example, in Human-Robot Interaction or Imitation Learning. The problem has been faced in many fields, from Signal Processing,…

Human-Computer Interaction · Computer Science 2019-07-08 Julen Urain , Jan Peters

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

The ability to retrieve semantically and directionally similar short-range trajectories with both accuracy and efficiency is foundational for downstream applications such as motion forecasting and autonomous navigation. However, prevailing…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Abhishek Vivekanandan , Christian Hubschneider , J. Marius Zöllner

Trajectory analysis is not only about obtaining movement data, but it is also of paramount importance in understanding the pattern in which an object moves through space and time, as well as in predicting its next move. Due to the…

Machine Learning · Computer Science 2025-06-26 Chanuka Don Samarasinghage , Dhruv Gulabani

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

Effectively measuring the similarity between two human motions is necessary for several computer vision tasks such as gait analysis, person identi- fication and action retrieval. Nevertheless, we believe that traditional approaches such as…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Huseyin Coskun , David Joseph Tan , Sailesh Conjeti , Nassir Navab , Federico Tombari

Understanding human motion is crucial for accurate pedestrian trajectory prediction. Conventional methods typically rely on supervised learning, where ground-truth labels are directly optimized against predicted trajectories. This amplifies…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Yizhou Huang , Yihua Cheng , Kezhi Wang

Place embeddings generated from human mobility trajectories have become a popular method to understand the functionality of places. Place embeddings with high spatial resolution are desirable for many applications, however, downscaling the…

Machine Learning · Computer Science 2020-02-07 Toru Shimizu , Takahiro Yabe , Kota Tsubouchi

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

Robotic assembly tasks involve complex and low-clearance insertion trajectories with varying contact forces at different stages. While the nominal motion trajectory can be easily obtained from human demonstrations through kinesthetic…

Robotics · Computer Science 2021-03-11 Yan Wang , Cristian C. Beltran-Hernandez , Weiwei Wan , Kensuke Harada

Sparsity is a common issue in many trajectory datasets, including human mobility data. This issue frequently brings more difficulty to relevant learning tasks, such as trajectory imputation and prediction. Nowadays, little existing work…

Machine Learning · Computer Science 2023-01-13 Kyle K. Qin , Yongli Ren , Wei Shao , Brennan Lake , Filippo Privitera , Flora D. Salim