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Routing optimization is a relevant problem in many contexts. Solving directly this type of optimization problem is often computationally unfeasible. Recent studies suggest that one can instead turn this problem into one of solving a…

Physics and Society · Physics 2020-12-11 Diego Baptista , Daniela Leite , Enrico Facca , Mario Putti , Caterina De Bacco

Mesoscale structures are an integral part of the abstraction and analysis of complex systems. They reveal a node's function in the network, and facilitate our understanding of the network dynamics. For example, they can represent…

Methodology · Statistics 2023-01-27 Luka V. Petrović , Vincenzo Perri

We define several new models for how to define anomalous regions among enormous sets of trajectories. These are based on spatial scan statistics, and identify a geometric region which captures a subset of trajectories which are…

Data Structures and Algorithms · Computer Science 2019-06-06 Michael Matheny , Dong Xie , Jeff M. Phillips

In order to track the moving objects in long range against occlusion, interruption, and background clutter, this paper proposes a unified approach for global trajectory analysis. Instead of the traditional frame-by-frame tracking, our…

Computer Vision and Pattern Recognition · Computer Science 2015-02-03 Liang Lin , Yongyi Lu , Yan Pan , Xiaowu Chen

Network models have been widely used to study diverse systems and analyze their dynamic behaviors. Given the structural variability of networks, an intriguing question arises: Can we infer the type of system represented by a network based…

Social and Information Networks · Computer Science 2025-05-29 Gonzalo Travieso , Joao Merenda , Odemir M. Bruno

Higher-order interactions provide a nuanced understanding of the relational structure of complex systems beyond traditional pairwise interactions. However, higher-order network analyses also incur more cumbersome interpretations and greater…

Physics and Society · Physics 2026-01-07 Alec Kirkley , Helcio Felippe , Federico Battiston

The metro ridership prediction has always received extensive attention from governments and researchers. Recent works focus on designing complicated graph convolutional recurrent network architectures to capture spatial and temporal…

Machine Learning · Computer Science 2021-07-13 Chuyu Huang

Modeling complex spatiotemporal dependencies in correlated traffic series is essential for traffic prediction. While recent works have shown improved prediction performance by using neural networks to extract spatiotemporal correlations,…

Machine Learning · Computer Science 2023-09-08 Junpeng Lin , Ziyue Li , Zhishuai Li , Lei Bai , Rui Zhao , Chen Zhang

Transportation infrastructure, such as road or railroad networks, represent a fundamental component of our civilization. For sustainable planning and informed decision making, a thorough understanding of the long-term evolution of…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Johannes H. Uhl , Stefan Leyk , Yao-Yi Chiang , Craig A. Knoblock

In this paper, we solve the problem of predicting the next locations of the moving objects with a historical dataset of trajectories. We present a Next Location Predictor with Markov Modeling (NLPMM) which has the following advantages: (1)…

Artificial Intelligence · Computer Science 2020-03-17 Meng Chen , Yang Liu , Xiaohui Yu

Dynamical systems often exhibit the emergence of long-lived coherent sets, which are regions in state space that keep their geometric integrity to a high extent and thus play an important role in transport. In this article, we provide a…

Dynamical Systems · Mathematics 2017-04-05 Ralf Banisch , Péter Koltai

In this paper, we propose a novel graph convolutional network architecture, Graph Stacked Hourglass Networks, for 2D-to-3D human pose estimation tasks. The proposed architecture consists of repeated encoder-decoder, in which…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Tianhan Xu , Wataru Takano

Predicting pedestrian motion trajectories is crucial for path planning and motion control of autonomous vehicles. Accurately forecasting crowd trajectories is challenging due to the uncertain nature of human motions in different…

Computer Vision and Pattern Recognition · Computer Science 2024-01-11 Yu Liu , Yuexin Zhang , Kunming Li , Yongliang Qiao , Stewart Worrall , You-Fu Li , He Kong

Graphs as a type of data structure have recently attracted significant attention. Representation learning of geometric graphs has achieved great success in many fields including molecular, social, and financial networks. It is natural to…

Machine Learning · Computer Science 2021-07-08 Tian Xia , Wei-Shinn Ku

Knowledge graphs represent real-world entities and their relations in a semantically-rich structure supported by ontologies. Exploring this data with machine learning methods often relies on knowledge graph embeddings, which produce latent…

Machine Learning · Computer Science 2023-06-23 Rita T. Sousa , Sara Silva , Catia Pesquita

Temporal networks model how the interaction between elements in a complex system evolve over time. Just like complex systems display collective dynamics, here we interpret temporal networks as trajectories performing a collective motion in…

Social and Information Networks · Computer Science 2022-10-18 Lucas Lacasa , Jorge P. Rodriguez , Victor M. Eguiluz

The effectiveness of Spatio-temporal Graph Neural Networks (STGNNs) in time-series applications is often limited by their dependence on fixed, hand-crafted input graph structures. Motivated by insights from the Topological Data Analysis…

Machine Learning · Computer Science 2025-03-20 Viet The Nguyen , Duy Anh Pham , An Thai Le , Jans Peter , Gunther Gust

Sentence ordering is to restore the original paragraph from a set of sentences. It involves capturing global dependencies among sentences regardless of their input order. In this paper, we propose a novel and flexible graph-based neural…

Computation and Language · Computer Science 2019-12-17 Yongjing Yin , Linfeng Song , Jinsong Su , Jiali Zeng , Chulun Zhou , Jiebo Luo

Message-passing graph neural networks (GNNs) excel at capturing local relationships but struggle with long-range dependencies in graphs. In contrast, graph transformers (GTs) enable global information exchange but often oversimplify the…

Machine Learning · Computer Science 2024-10-08 Dexiong Chen , Till Hendrik Schulz , Karsten Borgwardt

Next location prediction is a critical task in human mobility modeling, enabling applications like travel planning and urban mobility management. Existing methods mainly rely on historical spatiotemporal trajectory data to train sequence…

Machine Learning · Computer Science 2026-01-01 Bangchao Deng , Lianhua Ji , Chunhua Chen , Xin Jing , Ling Ding , Bingqing QU , Pengyang Wang , Dingqi Yang