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By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA) to qualitatively type dynamical data by approximating the…

Algebraic Topology · Mathematics 2026-04-14 Tobias Timofeyev , Christopher Potvin , Benjamin Jones , Kristin M. Kurianski , Miguel Lopez , Sunia Tanweer

Human mobility patterns refer to the regularities and trends in the way people move, travel, or navigate through different geographical locations over time. Detecting human mobility patterns is essential for a variety of applications,…

Social and Information Networks · Computer Science 2023-05-23 Yisheng Alison Zheng , Abdallah Lakhdari , Amani Abusafia , Shing Tai Tony Lui , Athman Bouguettaya

We present a novel method for analyzing geospatial trajectory data using topological data analysis (TDA) to identify a specific class of anomalies, commonly referred to as crop circles, in AIS data. This approach is the first of its kind to…

Computational Geometry · Computer Science 2024-10-08 Kyle Evans-Lee , Kevin Lamb

Understanding human mobility is essential for many fields, including transportation planning. Currently, surveys are the primary source for such analysis. However, in the recent past, many researchers have focused on Call Detail Records…

Machine Learning · Computer Science 2021-08-23 Buddhi Ayesha , Bhagya Jeewanthi , Charith Chitraranjan , Amal Shehan Perera , Amal S. Kumarage

We focus on the problem of analyzing multiagent interactions in traffic domains. Understanding the space of behavior of real-world traffic may offer significant advantages for algorithmic design, data-driven methodologies, and benchmarking.…

Robotics · Computer Science 2022-05-20 Christoforos Mavrogiannis , Jonathan DeCastro , Siddhartha S. Srinivasa

Understanding the dynamics of traffic clusters is crucial for enhancing urban transportation systems, particularly in managing congestion and free-flow states. This study applies computational percolation theory to analyze the formation and…

Physics and Society · Physics 2025-07-30 Yongsung Kwon , Minjin Lee , Mi Jin Lee , Seung-Woo Son

Cellular phones are now offering an ubiquitous means for scientists to observe life: how people act, move and respond to external influences. They can be utilized as measurement devices of individual persons and for groups of people of the…

Physics and Society · Physics 2015-06-12 Shao-Meng Qin , Hannu Verkasalo , Mikael Mohtaschemi , Tuomo Hartonen , Mikko Alava

Artificial Neural Networks (ANNs) require significant amounts of data and computational resources to achieve high effectiveness in performing the tasks for which they are trained. To reduce resource demands, various techniques, such as…

Neural and Evolutionary Computing · Computer Science 2024-12-04 A. Stolarek , W. Jaworek

Understanding mobile traffic patterns of large scale cellular towers in urban environment is extremely valuable for Internet service providers, mobile users, and government managers of modern metropolis. This paper aims at extracting and…

Networking and Internet Architecture · Computer Science 2015-10-15 Huandong Wang , Fengli Xu , Yong Li , Pengyu Zhang , Depeng Jin

Understanding human mobility patterns is important in applications as diverse as urban planning, public health, and political organizing. One rich source of data on human mobility is taxi ride data. Using the city of Chicago as a case…

Social and Information Networks · Computer Science 2023-06-22 Harish Chauhan , Nikunj Gupta , Zoe Haskell-Craig

Understanding urban human mobility patterns at various spatial levels is essential for social science. This study presents a machine learning framework to downscale origin-destination (OD) taxi trips flows in New York City from a larger…

Machine Learning · Computer Science 2025-09-29 Yuqin Jiang , Andrey A. Popov , Tianle Duan , Qingchun Li

Many aspects of life are associated with places of human mobility patterns and nowadays we are facing an increase in the pervasiveness of mobile devices these individuals carry. Positioning technologies that serve these devices such as the…

Machine Learning · Computer Science 2019-09-26 Thiago Andrade , Brais Cancela , João Gama

Complex networks are used to depict topological features of complex systems. The structure of a network characterizes the interactions among elements of the system, and facilitates the study of many dynamical processes taking place on it.…

Physics and Society · Physics 2012-06-22 Yan Zhang , Lin Wang , Yi-Qing Zhang , Xiang Li

Traditional Topological Data Analysis (TDA) methods, such as Persistent Homology (PH), rely on distance measures (e.g., cross-correlation, partial correlation, coherence, and partial coherence) that are symmetric by definition. While useful…

Neurons and Cognition · Quantitative Biology 2024-07-19 Anass B. El-Yaagoubi , Moo K. Chung , Hernando Ombao

Topological data analysis (TDA) is a rapidly developing collection of methods for studying the shape of point cloud and other data types. One popular approach, designed to be robust to noise and outliers, is to first use a smoothing…

Methodology · Statistics 2017-12-27 Chul Moon , Noah Giansiracusa , Nicole A. Lazar

Spatial transcriptomics studies are becoming increasingly large and commonplace, necessitating simultaneous analysis of a large number of spatially resolved variables. Correspondingly, a diverse range of methodologies have been proposed to…

Quantitative Methods · Quantitative Biology 2025-09-09 James Boyle , Gregory Hamm , Eleanor Williams , Robin JG Hartman , Magnus Soderburg , Ian Henry , Michael Casey

Existing studies have extensively used spatiotemporal data to discover the mobility patterns of various types of travellers. Smart card data (SCD) collected by the automated fare collection systems can reflect a general view of the mobility…

Computers and Society · Computer Science 2019-11-11 Zhiyong Cui , Ying Long

Many organisations manage service quality and monitor a large set devices and servers where each entity is associated with telemetry or physical sensor data series. Recently, various methods have been proposed to detect behavioural…

Social and Information Networks · Computer Science 2023-05-10 Len Feremans , Boris Cule , Bart Goethals

Nowadays as the world population has become more interconnected and is relying on faster transportation methods, simplified connections and shorter commuting times, we witness a rapid increase in human mobility. In this situation unveiling…

Social and Information Networks · Computer Science 2017-06-13 Karim Keramat Jahromi

The information collected by mobile phone operators can be considered as the most detailed information on human mobility across a large part of the population. The study of the dynamics of human mobility using the collected geolocations of…

Social and Information Networks · Computer Science 2013-11-21 Nicolas Ponieman , Alejo Salles , Carlos Sarraute
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