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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

Temporal graphs represent binary relationships that change along time. They can model the dynamism of, for example, social and communication networks. Temporal graphs are defined as sets of contacts that are edges tagged with the temporal…

Data Structures and Algorithms · Computer Science 2019-01-01 Nieves R. Brisaboa , Diego Caro , Antonio Fariña , M. Andrea Rodriguez

Temporal graphs represent interactions between entities over time. These interactions may be direct, a contact between two vertices at some time instant, or indirect, through sequences of contacts called journeys. Deciding whether an entity…

Data Structures and Algorithms · Computer Science 2023-06-27 Luiz F. Afra Brito , Marcelo Keese Albertini , Bruno A. N. Travençolo

Trajectory prediction of vehicles in city-scale road networks is of great importance to various location-based applications such as vehicle navigation, traffic management, and location-based recommendations. Existing methods typically…

Machine Learning · Computer Science 2021-12-16 Yuebing Liang , Zhan Zhao

Due to the massively increasing amount of available geospatial data and the need to present it in an understandable way, clustering this data is more important than ever. As clusters might contain a large number of objects, having a…

Machine Learning · Computer Science 2020-12-02 Milutin Brankovic , Kevin Buchin , Koen Klaren , André Nusser , Aleksandr Popov , Sampson Wong

We present a new compressed representation of free trajectories of moving objects. It combines a partial-sums-based structure that retrieves in constant time the position of the object at any instant, with a hierarchical…

Data Structures and Algorithms · Computer Science 2017-10-06 Nieves R. Brisaboa , Travis Gagie , Adrián Gómez-Brandón , Gonzalo Navarro , José R. Paramá

Temporal graphs represent interactions between entities over time. Deciding whether entities can reach each other through temporal paths is useful for various applications such as in communication networks and epidemiology. Previous works…

Data Structures and Algorithms · Computer Science 2023-08-24 Luiz Fernando Afra Brito , Marcelo Keese Albertini , Bruno Augusto Nassif Travençolo , Gonzalo Navarro

This paper proposes multiple extensions to the popular bicriterion transit routing approach -- Trip-Based Transit Routing (TBTR). Specifically, building on the premise of the HypRAPTOR algorithm, we first extend TBTR to its partitioning…

Data Structures and Algorithms · Computer Science 2022-03-01 Prateek Agarwal , Tarun Rambha

Representation learning of pedestrian trajectories transforms variable-length timestamp-coordinate tuples of a trajectory into a fixed-length vector representation that summarizes spatiotemporal characteristics. It is a crucial technique to…

Machine Learning · Computer Science 2018-11-21 Ka-Ho Chow , Anish Hiranandani , Yifeng Zhang , S. -H. Gary Chan

Urban areas provide us with a treasure trove of available data capturing almost every aspect of a population's life. This work focuses on mobility data and how it will help improve our understanding of urban mobility patterns. Readily…

Machine Learning · Computer Science 2020-04-28 Liming Zhang , Andreas Züfle , Dieter Pfoser

We present a method to extract temporal hypergraphs from sequences of 2-dimensional functions obtained as solutions to Optimal Transport problems. We investigate optimality principles exhibited by these solutions from the point of view of…

Discrete Mathematics · Computer Science 2023-01-10 Diego Baptista , Caterina De Bacco

We present T-REX (Transfer-Ranked EXploration), a new algorithm for journey planning in public transit networks on the country and continental scale. Our algorithm applies the principles of multi-level overlays to Trip-Based Public Transit…

Social and Information Networks · Computer Science 2026-05-20 Jonas Sauer , Patrick Steil , Sascha Witt

Understanding human mobility is essential for applications in public health, transportation, and urban planning. However, mobility data often suffers from sparsity due to limitations in data collection methods, such as infrequent GPS…

Machine Learning · Computer Science 2025-07-08 Hao Yang , Angela Yao , Christopher Whalen , Gengchen Mai

Effective urban traffic management is vital for sustainable city development, relying on intelligent systems with machine learning tasks such as traffic flow prediction and travel time estimation. Traditional approaches usually focus on…

Machine Learning · Computer Science 2025-02-12 Chengkai Han , Jingyuan Wang , Yongyao Wang , Xie Yu , Hao Lin , Chao Li , Junjie Wu

Modern transportation network modeling increasingly involves the integration of diverse methodologies including sensor-based forecasting, reinforcement learning, classical flow optimization, and demand modeling that have traditionally been…

Optimization and Control · Mathematics 2025-07-08 Xuesong , Zhou , Taehooie Kim , Mostafa Ameli , Henan , Zhu , Yu- dai Honma , Ram M. Pendyala

The Transformer architecture has shown significant success in many language processing and visual tasks. However, the method faces challenges in efficiently scaling to long sequences because the self-attention computation is quadratic with…

Machine Learning · Computer Science 2025-05-05 Edison Mucllari , Zachary Daniels , David Zhang , Qiang Ye

Given an object of interest, visual navigation aims to reach the object's location based on a sequence of partial observations. To this end, an agent needs to 1) learn a piece of certain knowledge about the relations of object categories in…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Xiaobo Hu , Youfang Lin , HeHe Fan , Shuo Wang , Zhihao Wu , Kai Lv

In this paper, we present a compressed data structure for moving object trajectories in a road network, which are represented as sequences of road edges. Unlike existing compression methods for trajectories in a network, our method supports…

Data Structures and Algorithms · Computer Science 2017-10-02 Satoshi Koide , Yukihiro Tadokoro , Chuan Xiao , Yoshiharu Ishikawa

Querying the shortest path between two vertexes is a fundamental operation in a variety of applications, which has been extensively studied over static road networks. However, in reality, the travel costs of road segments evolve over time,…

Databases · Computer Science 2023-03-08 Zengyang Gong , Yuxiang Zeng , Lei Chen

For users navigating travel e-commerce websites, the process of researching products and making a purchase often results in intricate browsing patterns that span numerous sessions over an extended period of time. The resulting clickstream…

Information Retrieval · Computer Science 2024-09-23 William Black , Alexander Manlove , Jack Pennington , Andrea Marchini , Ercument Ilhan , Vilda Markeviciute