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One of the paramount challenges in neuroscience is to understand the dynamics of individual neurons and how they give rise to network dynamics when interconnected. Historically, researchers have resorted to graph theory, statistics, and…

Neurons and Cognition · Quantitative Biology 2019-02-08 Jean-Baptiste Bardin , Gard Spreemann , Kathryn Hess

The massive digital footprints generated by bike-sharing systems in megacities like Shanghai offer a novel perspective on the urban socio-economic fabric. This study investigates whether these daily mobility patterns can quantitatively map…

Physics and Society · Physics 2025-10-13 Yingche Liu , Mengyang Li

Dynamic community detection methods often lack effective mechanisms to ensure temporal consistency, hindering the analysis of network evolution. In this paper, we propose a novel deep graph clustering framework with temporal consistency…

Artificial Intelligence · Computer Science 2024-01-09 Dexu Kong , Anping Zhang , Yang Li

Surface roughness plays an important role in analyzing engineering surfaces. It quantifies the surface topography and can be used to determine whether the resulting surface finish is acceptable or not. Nevertheless, while several existing…

Signal Processing · Electrical Eng. & Systems 2021-10-20 Melih C. Yesilli , Firas A. Khasawneh

Positioning data offer a remarkable source of information to analyze crowds urban dynamics. However, discovering urban activity patterns from the emergent behavior of crowds involves complex system modeling. An alternative approach is to…

Artificial Intelligence · Computer Science 2019-01-23 Antonio L. Alfeo , Mario G. C. A. Cimino , Sara Egidi , Bruno Lepri , Alex Pentland , Gigliola Vaglini

The identification of urban mobility patterns is very important for predicting and controlling spatial events. In this study, we analyzed millions of geographical check-ins crawled from a leading Chinese location-based social networking…

Physics and Society · Physics 2017-01-03 Zimo Yang , Defu Lian , Nicholas Jing Yuan , Xing Xie , Yong Rui , Tao Zhou

Topological data analysis (TDA) is an area of data science that focuses on using invariants from algebraic topology to provide multiscale shape descriptors for geometric data sets such as point clouds. One of the most important such…

Computational Geometry · Computer Science 2023-06-21 David Loiseaux , Mathieu Carrière , Andrew J. Blumberg

With the advent of advanced 4G/5G mobile networks, mobile phone data collected by operators now includes detailed, service-specific traffic information with high spatio-temporal resolution. In this paper, we leverage this type of data to…

Machine Learning · Computer Science 2024-11-26 Giulio Loddi , Chiara Pugliese , Francesco Lettich , Fabio Pinelli , Chiara Renso

In this paper, we propose a novel framework for dynamical analysis of human actions from 3D motion capture data using topological data analysis. We model human actions using the topological features of the attractor of the dynamical system.…

Computational Geometry · Computer Science 2016-03-18 Vinay Venkataraman , Karthikeyan Natesan Ramamurthy , Pavan Turaga

Topological data analysis (TDA) provides insight into data shape. The summaries obtained by these methods are principled global descriptions of multi-dimensional data whilst exhibiting stable properties such as robustness to deformation and…

Machine Learning · Computer Science 2024-03-18 Ali Zia , Abdelwahed Khamis , James Nichols , Zeeshan Hayder , Vivien Rolland , Lars Petersson

In the era of big data, the ubiquity of location-aware portable devices provides an unprecedented opportunity to understand inhabitants' behavior and their interactions with the built environments. Among the widely used data resources,…

Social and Information Networks · Computer Science 2023-06-07 Le Huang , Fan Xia , Hui Chen , Bowen Hu , Xiao Zhou , Chunxiao Li , Yaohui Jin , Yanyan Xu

Urban transportation plays a vital role in modern city life, affecting how efficiently people and goods move around. This study analyzes transportation patterns using two datasets: the NYC Taxi Trip dataset from New York City and the Pathao…

Social and Information Networks · Computer Science 2025-05-08 Bidyarthi Paul , Fariha Tasnim Chowdhury , Dipta Biswas , Meherin Sultana

In this study, we present and analyze a framework for geometric and topological estimation for mapping of unknown environments. We consider agents mimicking motion behaviors of cyborg insects, known as biobots, and exploit coordinate-free…

Robotics · Computer Science 2016-07-04 Alireza Dirafzoon , Alper Bozkurt , Edgar Lobaton

Understanding the spatial networks formed by the trajectories of mobile users can be beneficial to applications ranging from epidemiology to local search. Despite the potential for impact in a number of fields, several aspects of human…

Social and Information Networks · Computer Science 2015-03-18 Anastasios Noulas , Blake Shaw , Renaud Lambiotte , Cecilia Mascolo

Topological data analysis (TDA) is a rapidly evolving field in applied mathematics and data science that leverages tools from topology to uncover robust, shape-driven insights in complex datasets. The main workhorse is persistent homology,…

History and Overview · Mathematics 2025-07-29 Zhe Su , Xiang Liu , Layal Bou Hamdan , Vasileios Maroulas , Jie Wu , Gunnar Carlsson , Guo-Wei Wei

Understanding of the mechanisms driving our daily face-to-face encounters is still limited; the field lacks large-scale datasets describing both individual behaviors and their collective interactions. However, here, with the help of travel…

Physics and Society · Physics 2013-08-07 Lijun Sun , Kay W. Axhausen , Der-Horng Lee , Xianfeng Huang

Different cell types aggregate and sort into hierarchical architectures during the formation of animal tissues. The resulting spatial organization depends (in part) on the strength of adhesion of one cell type to itself relative to other…

Quantitative Methods · Quantitative Biology 2023-08-02 Dhananjay Bhaskar , William Y. Zhang , Alexandria Volkening , Björn Sandstede , Ian Y. Wong

Geographic space is better understood through the topological relationship of the underlying streets (note: entire streets rather than street segments), which enables us to see scaling or fractal or living structure of far more…

Physics and Society · Physics 2020-09-04 Ding Ma , Itzhak Omer , Toshihiro Osaragi , Mats Sandberg , Bin Jiang

Sequential Pattern Mining is an important component in establishing patterns and mining trends of certain activities. Insights into tourist movement and activity patterns is deemed beneficial for the tourism sector in many ways, such as…

Computers and Society · Computer Science 2018-11-09 Anmoila Talpur , Yanchun Zhang

Movement data is prevalent across various applications and scientific fields, often characterized by its massive scale and complexity. Exploratory Data Analysis (EDA) plays a crucial role in summarizing and describing such data, enabling…

Other Computer Science · Computer Science 2025-04-30 Yashat Tavakoli , Amilcar Soares , Lourdes Pena