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We propose a parsimonious spatiotemporal model for time series data on a spatial grid. Our model is capable of dealing with high-dimensional time series data that may be collected at hundreds of locations and capturing the spatial…

Methodology · Statistics 2021-03-02 Yuan Yan , Hsin-Cheng Huang , Marc G. Genton

Earth system science is producing increasingly large, high-dimensional datasets from physics based Earth system models to AI-based weather and climate models. Embedding-based representations can make these data searchable through similarity…

Data Analysis, Statistics and Probability · Physics 2026-05-05 Nihanth W. Cherukuru , Matt Rehme , Kirsten J. Mayer , David John Gagne , John Schreck , John Clyne , Charlie Becker

We consider the spatial classification problem for monitoring using data collected by a coordinated team of mobile robots. Such classification problems arise in several applications including search-and-rescue and precision agriculture.…

Robotics · Computer Science 2026-05-25 Xiaoshan Lin , Siddharth Nayak , Stefano Di Cairano , Abraham P. Vinod

We propose the use of the vector-valued distance to compute distances and extract geometric information from the manifold of symmetric positive definite matrices (SPD), and develop gyrovector calculus, constructing analogs of vector space…

Machine Learning · Computer Science 2021-10-27 Federico López , Beatrice Pozzetti , Steve Trettel , Michael Strube , Anna Wienhard

The problem of broad practical interest in spatiotemporal data analysis, i.e., discovering interpretable dynamic patterns from spatiotemporal data, is studied in this paper. Towards this end, we develop a time-varying reduced-rank vector…

Machine Learning · Computer Science 2022-11-29 Xinyu Chen , Chengyuan Zhang , Xiaoxu Chen , Nicolas Saunier , Lijun Sun

We propose a novel method for effective retrieval of multi-agent spatiotemporal tracking data. Retrieval of spatiotemporal tracking data offers several unique challenges compared to conventional text-based retrieval settings. Most notably,…

Information Retrieval · Computer Science 2017-10-09 Long Sha , Patrick Lucey , Stephan Zheng , Taehwan Kim , Yisong Yue , Sridha Sridharan

This paper presents an enhanced version of the Interactive Voting-Based Map Matching algorithm, designed to efficiently process trajectories with varying sampling rates. The main aim is to reconstruct GPS trajectories with high accuracy,…

Machine Learning · Computer Science 2025-08-18 William Alemanni , Arianna Burzacchi , Davide Colombi , Elena Giarratano

Modern navigation services often provide multiple paths connecting the same source and destination for users to select. Hence, ranking such paths becomes increasingly important, which directly affects the service quality. We present…

Machine Learning · Computer Science 2019-07-10 Sean Bin Yang , Bin Yang

Vectorized high-definition (HD) map is essential for autonomous driving, providing detailed and precise environmental information for advanced perception and planning. However, current map vectorization methods often exhibit deviations, and…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Gongjie Zhang , Jiahao Lin , Shuang Wu , Yilin Song , Zhipeng Luo , Yang Xue , Shijian Lu , Zuoguan Wang

Corporations today collect data at an unprecedented and accelerating scale, making the need to run queries on large datasets increasingly important. Technologies such as columnar block-based data organization and compression have become…

Two-level indexes have been widely used to handle trajectories of moving objects that are constrained to a network. The top-level of these indexes handles the spatial dimension, whereas the bottom level handles the temporal dimension. The…

Data Structures and Algorithms · Computer Science 2019-01-07 Rodrigo Rivera , Andrea Rodríguez , Diego Seco

Modern earthwork compaction rollers collect location and compaction information as they traverse a compaction site. These data are indirectly observed through non-linear measurement operators, inherently multivariate with complex…

Applications · Statistics 2013-02-21 Daniel K. Heersink , Reinhard Furrer , Mike A. Mooney

With the increasing integration of robots into human life, their role in architectural spaces where people spend most of their time has become more prominent. While motion capabilities and accurate localization for automated robots have…

Robotics · Computer Science 2025-03-12 Mengke Zhang , Zhihao Tian , Yaoguang Xia , Chao Xu , Fei Gao , Yanjun Cao

Spectral datasets obtained at radio frequencies and optical/IR wavelengths are increasing in complexity as new facilities and instruments come online, resulting in an increased need to visualize and quantitatively analyze the velocity…

Instrumentation and Methods for Astrophysics · Physics 2010-01-14 Christopher J. Fluke , Jayanne English , David G. Barnes

Datasets consisting of a network and covariates associated with its vertices have become ubiquitous. One problem pertaining to this type of data is to identify information unique to the network, information unique to the vertex covariates…

Methodology · Statistics 2024-06-14 Carson James , Dongbang Yuan , Irina Gaynanova , Jesús Arroyo

Street-level visual appearances play an important role in studying social systems, such as understanding the built environment, driving routes, and associated social and economic factors. It has not been integrated into a typical…

Human-Computer Interaction · Computer Science 2024-04-02 Tsung Heng Wu , Md Amiruzzaman , Ye Zhao , Deepshikha Bhati , Jing Yang

Spatial networks, in which nodes and edges are embedded in space, play a vital role in the study of complex systems. For example, many social networks attach geo-location information to each user, allowing the study of not only topological…

Social and Information Networks · Computer Science 2014-03-05 Nicholas D. Larusso , Brian E. Ruttenberg , Ambuj Singh

For autonomous navigation, accurate localization with respect to a map is needed. In urban environments, infrastructure such as buildings or bridges cause major difficulties to Global Navigation Satellite Systems (GNSS) and, despite…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Maxime Noizet , Philippe Xu , Philippe Bonnifait

This paper presents a vector HD-mapping algorithm that formulates the mapping as a tracking task and uses a history of memory latents to ensure consistent reconstructions over time. Our method, MapTracker, accumulates a sensor stream into…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Jiacheng Chen , Yuefan Wu , Jiaqi Tan , Hang Ma , Yasutaka Furukawa

Human activity spaces are shaped by individual mobility and the built environment, motivating statistical methods that integrate GPS observations with GIS representations of places and routes. We propose a novel methodology to estimate…

Methodology · Statistics 2026-05-12 Haoyang Wu , Yen-Chi Chen , Adrian Dobra
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