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We introduce a modified model of random walk, and then develop two novel clustering algorithms based on it. In the algorithms, each data point in a dataset is considered as a particle which can move at random in space according to the…

Machine Learning · Computer Science 2008-10-31 Qiang Li , Yan He , Jing-ping Jiang

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

We analyze a specific class of random systems that are driven by a symmetric L\'{e}vy stable noise. In view of the L\'{e}vy noise sensitivity to the confining "potential landscape" where jumps take place (in other words, to environmental…

Statistical Mechanics · Physics 2015-06-11 M. Zaba , P. Garbaczewski , V. Stephanovich

Life pattern clustering is essential for abstracting the groups' characteristics of daily mobility patterns and activity regularity. Based on millions of GPS records, this paper proposed a framework on the life pattern clustering which can…

Computers and Society · Computer Science 2021-04-27 Wenjing Li , Haoran Zhang , Jinyu Chen , Peiran Li , Yuhao Yao , Mariko Shibasaki , Xuan Song , Ryosuke Shibasaki

Latent Class Models (LCMs) are used to cluster multivariate categorical data (e.g. group participants based on survey responses). Traditional LCMs assume a property called conditional independence. This assumption can be restrictive,…

Machine Learning · Statistics 2024-06-19 Jesse Bowers , Steve Culpepper

Massive volumes of high-dimensional data that evolves over time is continuously collected by contemporary information processing systems, which brings up the problem of organizing this data into clusters, i.e. achieve the purpose of…

Machine Learning · Computer Science 2019-10-22 Di Xu , Tianhang Long , Junbin Gao

Nighttime lights satellite imagery has been used for decades as a uniform, global source of data for studying a wide range of socioeconomic factors. Recently, another more terrestrial source is producing data with similarly uniform global…

Computers and Society · Computer Science 2020-03-18 Brian Dickinson , Gourab Ghoshal , Xerxes Dotiwalla , Adam Sadilek , Henry Kautz

Modeling human mobility helps to understand how people are accessing resources and physically contacting with each other in cities, and thus contributes to various applications such as urban planning, epidemic control, and location-based…

Artificial Intelligence · Computer Science 2023-06-07 Zongyuan Huang , Shengyuan Xu , Menghan Wang , Hansi Wu , Yanyan Xu , Yaohui Jin

In many real-world scenarios, the underlying random fluctuations are non-Gaussian, particularly in contexts where heavy-tailed data distributions arise. A typical example of such non-Gaussian phenomena calls for L\'evy noise, which…

Numerical Analysis · Mathematics 2025-11-27 Jian-Guo Liu , Yuliang Wang

The description of complex human mobility patterns is at the core of many important applications ranging from urbanism and transportation to epidemics containment. Data about collective human movements, once scarce, has become widely…

Physics and Society · Physics 2022-11-21 Riccardo Gallotti , Davide Maniscalco , Marc Barthelemy , Manlio De Domenico

We consider the duration of discussions in face-to-face contacts and propose a stochastic model to describe it. It is based on the points of a Levy flight where the duration of each contact corresponds to the size of the clusters produced…

Physics and Society · Physics 2024-08-23 S. Plaszczynski , B. Grammaticos , M. Badoual

This study evaluates three probabilistic forecasting strategies using LightGBM: global pooling, cluster-level pooling, and station-level modeling across a range of scenarios, from fully homogeneous simulated data to highly heterogeneous…

Applications · Statistics 2025-09-11 Jiahe Ling , Wei Biao Wu

L\'{e}vy flights is a random walk where the step-lengths have a probability distribution that is heavy-tailed. It has been shown that L\'{e}vy flights can maximize the efficiency of resource searching in uncertain environments, and also…

Neural and Evolutionary Computing · Computer Science 2019-06-11 Jiamin Wei , YangQuan Chen , Yongguang Yu , Yuquan Chen

Especially in lattice structured populations, homogeneous mixing represents an inadequate assumption. Various improvements upon the ordinary pair approximation based on a number of assumptions concerning the higher-order correlations have…

Populations and Evolution · Quantitative Biology 2007-05-23 Thomas Petermann , Paolo De Los Rios

L\'evy Flights are paradigmatic generalised random walk processes, in which the independent stationary increments---the "jump lengths"---are drawn from an $\alpha$-stable jump length distribution with long-tailed, power-law asymptote. As a…

Statistical Mechanics · Physics 2020-08-26 A. Padash , A. V. Chechkin , B. Dybiec , I. Pavlyukevich , B. Shokri , R. Metzler

We review recent results obtained from simple individual-based models of biological competition in which birth and death rates of an organism depend on the presence of other competing organisms close to it. In addition the individuals…

Populations and Evolution · Quantitative Biology 2015-03-03 Emilio Hernandez-Garcia , Els Heinsalu , Cristobal Lopez

Human motion prediction is important for mobile service robots and intelligent vehicles to operate safely and smoothly around people. The more accurate predictions are, particularly over extended periods of time, the better a system can,…

Social network data are relational data recorded among a group of actors, interacting in different contexts. Often, the same set of actors can be characterized by multiple social relations, captured by a multidimensional network. A common…

Methodology · Statistics 2021-12-24 Silvia D'Angelo , Marco Alfò , Michael Fop

The recent availability of digital traces from Information and Communications Technologies (ICT) has facilitated the study of both individual- and population-level movement with unprecedented spatiotemporal resolution, enabling us to better…

Physics and Society · Physics 2023-10-10 Surendra Hazarie , Hugo Barbosa , Adam Frank , Ronaldo Menezes , Gourab Ghoshal

Aiming at the problem of low accuracy of flight trajectory prediction caused by the high speed of fighters, the diversity of tactical maneuvers, and the transient nature of situational change in close range air combat, this paper proposes…

Machine Learning · Computer Science 2024-05-01 Qinzhi Hao , Jiali Zhang , Tengyu Jing , Wei Wang