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Spatiotemporal trajectories are sequences of timestamped locations, which enable a variety of analyses that in turn enable important real-world applications. It is common to map trajectories to vectors, called embeddings, before subsequent…

Machine Learning · Computer Science 2024-11-13 Yan Lin , Zeyu Zhou , Yicheng Liu , Haochen Lv , Haomin Wen , Tianyi Li , Yushuai Li , Christian S. Jensen , Shengnan Guo , Youfang Lin , Huaiyu Wan

Sliced Optimal Transport (OT) simplifies the OT problem in high-dimensional spaces by projecting supports of input measures onto one-dimensional lines and then exploiting the closed-form expression of the univariate OT to reduce the…

Machine Learning · Computer Science 2025-03-21 Viet-Hoang Tran , Thanh T. Chu , Khoi N. M. Nguyen , Trang Pham , Tam Le , Tan M. Nguyen

For any two point sets $A,B \subset \mathbb{R}^d$ of size up to $n$, the Chamfer distance from $A$ to $B$ is defined as $\text{CH}(A,B)=\sum_{a \in A} \min_{b \in B} d_X(a,b)$, where $d_X$ is the underlying distance measure (e.g., the…

Data Structures and Algorithms · Computer Science 2023-07-07 Ainesh Bakshi , Piotr Indyk , Rajesh Jayaram , Sandeep Silwal , Erik Waingarten

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

Trajectory clustering enables the discovery of common patterns in trajectory data. Current methods of trajectory clustering rely on a distance measure between two points in order to measure the dissimilarity between two trajectories. The…

Artificial Intelligence · Computer Science 2023-10-31 Zi Jing Wang , Ye Zhu , Kai Ming Ting

The Sliced-Wasserstein distance (SW) is being increasingly used in machine learning applications as an alternative to the Wasserstein distance and offers significant computational and statistical benefits. Since it is defined as an…

Machine Learning · Statistics 2022-01-05 Kimia Nadjahi , Alain Durmus , Pierre E. Jacob , Roland Badeau , Umut Şimşekli

The computation of the distance of two time series is time-consuming for any elastic distance function that accounts for misalignments. Among those functions, DTW is the most prominent. However, a recent extensive evaluation has shown that…

Data Structures and Algorithms · Computer Science 2023-04-21 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger

The advances of modern localization techniques and the wide spread of mobile devices have provided us great opportunities to collect and mine human mobility trajectories. In this work, we focus on passively collected trajectories, which are…

Computational Geometry · Computer Science 2022-04-22 Jiaxin Ding , Jie Gao , Steven Skiena

The Sliced Wasserstein (SW) distance has become a popular alternative to the Wasserstein distance for comparing probability measures. Widespread applications include image processing, domain adaptation and generative modelling, where it is…

Machine Learning · Statistics 2025-05-15 Eloi Tanguy , Rémi Flamary , Julie Delon

Modern smart distribution system requires storage, transmission and processing of big data generated by sensors installed in electric meters. On one hand, this data is essentially required for intelligent decision making by smart grid but…

Signal Processing · Electrical Eng. & Systems 2018-07-19 Syed Muhammad Atif , Anees Ahmed , Sameer Qazi

The revolution of wireless sensors networks (WSNs) has highly augmented the expectations of people to get the work done efficiently, but there is little bit impediment to deal with deployed nodes in WSNs. The nature of used routing and…

Networking and Internet Architecture · Computer Science 2013-10-07 Abdul Razaque , Khaled. M. Elleithy

We propose a fast, distance-preserving, binary embedding algorithm to transform a high-dimensional dataset $\mathcal{T}\subseteq\mathbb{R}^n$ into binary sequences in the cube $\{\pm 1\}^m$. When $\mathcal{T}$ consists of well-spread (i.e.,…

Information Theory · Computer Science 2021-03-11 Jinjie Zhang , Rayan Saab

Destination prediction is an essential task in a variety of mobile applications. In this paper, we optimize the matrix operation and adapt a semi-lazy framework to improve the prediction accuracy and efficiency of a state-of-the-art…

Databases · Computer Science 2018-07-11 Zhou Yang , Heli Sun , Jianbin Huang , Xiaolin Jia , Ziyu Guan , Zhongmeng Zhao

The most useful data mining primitives are distance measures. With an effective distance measure, it is possible to perform classification, clustering, anomaly detection, segmentation, etc. For single-event time series Euclidean Distance…

Machine Learning · Computer Science 2022-12-14 Audrey Der , Chin-Chia Michael Yeh , Renjie Wu , Junpeng Wang , Yan Zheng , Zhongfang Zhuang , Liang Wang , Wei Zhang , Eamonn Keogh

Connected vehicles (CVs) can capture and transmit detailed data such as vehicle position and speed through vehicle-to-vehicle and vehicle-to-infrastructure communications. The wealth of CV data provides new opportunities to improve safety…

Applications · Statistics 2018-10-30 Lei Lin , Weizi Li , Srinivas Peeta

To improve our understanding of connected systems, different tools derived from statistics, signal processing, information theory and statistical physics have been developed in the last decade. Here, we will focus on the graph comparison…

Physics and Society · Physics 2018-04-23 Johann H. Martínez , Mario Chavez

Recent interest towards autonomous navigation and exploration robots for indoor applications has spurred research into indoor Simultaneous Localization and Mapping (SLAM) robot systems. While most of these SLAM systems use Visual and LiDAR…

Robotics · Computer Science 2022-09-19 Aditya Arun , William Hunter , Roshan Ayyalasomayajula , Dinesh Bharadia

With several advantages over conventional RGB cameras, event cameras have provided new opportunities for tackling visual tasks under challenging scenarios with fast motion, high dynamic range, and/or power constraint. Yet unlike image/video…

Computer Vision and Pattern Recognition · Computer Science 2020-12-02 Srutarshi Banerjee , Zihao W. Wang , Henry H. Chopp , Oliver Cossairt , Aggelos Katsaggelos

The complexity of problems involving global constraints is usually much more difficult to understand than the complexity of problems only involving local constraints. A natural form of global constraints are connectivity constraints. We…

Data Structures and Algorithms · Computer Science 2023-02-08 Falko Hegerfeld , Stefan Kratsch

Trajectory-based spatiotemporal entity linking is to match the same moving object in different datasets based on their movement traces. It is a fundamental step to support spatiotemporal data integration and analysis. In this paper, we…

Databases · Computer Science 2022-07-11 Fengmei Jin , Wen Hua , Thomas Zhou , Jiajie Xu , Matteo Francia , Maria E Orlowska , Xiaofang Zhou