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The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

In this paper we provide new methodology for inference of the geometric features of a multivariate density in deconvolution. Our approach is based on multiscale tests to detect significant directional derivatives of the unknown density at…

Methodology · Statistics 2016-11-21 Konstantin Eckle , Nicolai Bissantz , Holger Dette

In this paper, we aim to improve multivariate anomaly detection (AD) by modeling the \textit{time-varying non-linear spatio-temporal correlations} found in multivariate time series data . In multivariate time series data, an anomaly may be…

Machine Learning · Computer Science 2025-09-19 Padmaksha Roy , Almuatazbellah Boker , Lamine Mili

We introduce a multiscale test statistic based on local order statistics and spacings that provides simultaneous confidence statements for the existence and location of local increases and decreases of a density or a failure rate. The…

Statistics Theory · Mathematics 2008-08-07 Lutz Duembgen , Günther Walther

Image classification is often prone to labelling uncertainty. To generate suitable training data, images are labelled according to evaluations of human experts. This can result in ambiguities, which will affect subsequent models. In this…

Applications · Statistics 2024-07-24 Katharina Hechinger , Xiao Xiang Zhu , Göran Kauermann

We study information projections with respect to statistical $f$-divergences between any two location-scale families. We consider a multivariate generalization of the location-scale families which includes the elliptical and the spherical…

Information Theory · Computer Science 2021-01-20 Frank Nielsen

Community detection is an important tool for exploring and classifying the properties of large complex networks and should be of great help for spatial networks. Indeed, in addition to their location, nodes in spatial networks can have…

Physics and Society · Physics 2012-06-01 Federica Cerina , Vincenzo De Leo , Marc Barthelemy , Alessandro Chessa

Recent advances in deep learning have enabled the inference of urban socioeconomic characteristics from satellite imagery. However, models relying solely on urbanization traits often show weak correlations with poverty indicators, as…

Computers and Society · Computer Science 2025-09-08 Sungwon Park , Sumin Lee , Jihee Kim , Jae-Gil Lee , Meeyoung Cha , Jeasurk Yang , Donghyun Ahn

Detecting spatial patterns is fundamental to scientific discovery, yet current methods lack statistical consensus and face computational barriers when applied to large-scale spatial omics datasets. We unify major approaches through a single…

Applications · Statistics 2026-02-04 Jiayu Su , Jun Hou Fung , Haoyu Wang , Dian Yang , David A. Knowles , Raul Rabadan

What people buy is an important aspect or view of lifestyles. Studying people's shopping patterns in different urban regions can not only provide valuable information for various commercial opportunities, but also enable a better…

Social and Information Networks · Computer Science 2017-01-24 Tianran Hu , Ruihua Song , Yingzi Wang , Xing Xie , Jiebo Luo

The building of mathematical and computer models of cities has a long history. The core elements are models of flows (spatial interaction) and the dynamics of structural evolution. In this article, we develop a stochastic model of urban…

Methodology · Statistics 2018-05-10 L. Ellam , M. Girolami , G. A. Pavliotis , A. Wilson

In this paper, the task of recognizing signs made by hearing impaired people at sentence level has been addressed. A novel method of extracting spatial features to capture hand movements of a signer has been proposed. Frames of a given…

Computer Vision and Pattern Recognition · Computer Science 2016-10-26 B. M. Chethana Kumara , H. S. Nagendraswamy , R. Lekha Chinmayi

Predicting socioeconomic indicators within urban regions is crucial for fostering inclusivity, resilience, and sustainability in cities and human settlements. While pioneering studies have attempted to leverage multi-modal data for…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Xixian Yong , Xiao Zhou

The spatial distribution of income shapes the structure and organisation of cities and its understanding has broad societal implications. Despite an abundant literature, many issues remain unclear. In particular, all definitions of…

Physics and Society · Physics 2016-06-22 Rémi Louf , Marc Barthelemy

The conceptualization of space is crucial for comprehending the processes that shape geographic phenomena. Functional space exhibits asymmetric spatial separations, which deviate from the symmetry axiom of metric space commonly adopted as a…

Physics and Society · Physics 2025-09-03 Bin Liu , Zhaoya Gong , Jean-Claude Thill

How does transport cost affect the spatial organization of economic activities? This study develops a theoretical framework that distinguishes between two types of dispersion forces in spatial models: "local" dispersion forces acting within…

General Economics · Economics 2026-03-02 Takashi Akamatsu , Tomoya Mori , Minoru Osawa , Yuki Takayama

Selecting subsets of features that differentiate between two conditions is a key task in a broad range of scientific domains. In many applications, the features of interest form clusters with similar effects on the data at hand. To recover…

Machine Learning · Computer Science 2022-11-11 Ram Dyuthi Sristi , Gal Mishne , Ariel Jaffe

The spatial scan statistic is widely used to detect disease clusters in epidemiological surveillance. Since the seminal work by~\cite{kulldorff1997}, numerous extensions have emerged, including methods for defining scan regions, detecting…

Methodology · Statistics 2025-02-11 Takayuki Kawashima , Daisuke Yoneoka , Yuta Tanoue , Akifumi Eguchi , Shuhei Nomura

Cities can be seen as the epitome of complex systems. They arise from a set of interactions and components so diverse that is almost impossible to describe them exhaustively. Amid this diversity, we chose an object which orchestrates the…

Physics and Society · Physics 2015-12-07 Claire Lagesse

Cities are typical dynamic complex systems that connect people and facilitate interactions. Revealing universal collective patterns behind spatio-temporal interactions between residents is crucial for various urban studies, of which we are…

Physics and Society · Physics 2024-06-11 Chenxin Liu , Yu Yang , Bingsheng Chen , Tianyu Cui , Fan Shang , Jingfang Fan , Ruiqi Li