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Kulldorff's (1997) seminal paper on spatial scan statistics (SSS) has led to many methods considering different regions of interest, different statistical models, and different approximations while also having numerous applications in…

Machine Learning · Statistics 2019-08-13 Mingxuan Han , Michael Matheny , Jeff M. Phillips

A new model-based procedure is developed for sparse clustering of functional data that aims to classify a sample of curves into homogeneous groups while jointly detecting the most informative portions of domain. The proposed method is…

Methodology · Statistics 2023-10-04 Fabio Centofanti , Antonio Lepore , Biagio Palumbo

This paper provides a new unimodality test with application in hierarchical clustering methods. The proposed method denoted by signature test (Sigtest), transforms the data based on its statistics. The transformed data has much smaller…

Machine Learning · Computer Science 2014-01-10 Mahdi Shahbaba , Soosan Beheshti

Detecting weak clustered signal in spatial data is important but challenging in applications such as medical image and epidemiology. A more efficient detection algorithm can provide more precise early warning, and effectively reduce the…

Methodology · Statistics 2019-04-09 Xin Zhang , Zhengyuan Zhu

This paper introduces a Random Survival Forest (RSF) method for functional data. The focus is specifically on defining a new functional data structure, the Censored Functional Data (CFD), for dealing with temporal observations that are…

Methodology · Statistics 2025-02-25 Elvira Romano , Giuseppe Loffredo , Fabrizio Maturo

As high-dimensional and high-frequency data are being collected on a large scale, the development of new statistical models is being pushed forward. Functional data analysis provides the required statistical methods to deal with large-scale…

Statistics Theory · Mathematics 2020-07-08 Israel Martínez-Hernández , Marc G. Genton

We develop a test of normality for spatially indexed functions. The assumption of normality is common in spatial statistics, yet no significance tests, or other means of assessment, have been available for functional data. This paper aims…

Methodology · Statistics 2021-07-01 Thomas Kuenzer , Siegfried Hörmann , Piotr Kokoszka

Functional data analysis has been a growing field of study in recent decades, and one fundamental task in functional data analysis is estimating the sample location. A notion called statistical depth has been extended from multivariate data…

Applications · Statistics 2018-11-06 Xudong Zhang

Visual localization is a useful alternative to standard localization techniques. It works by utilizing cameras. In a typical scenario, features are extracted from captured images and compared with geo-referenced databases. Location…

Computer Vision and Pattern Recognition · Computer Science 2020-06-28 Li Weng , Valerie Gouet-Brunet , Bahman Soheilian

The significance of intelligent sensing systems is growing in the realm of smart services. These systems extract relevant signal features and generate informative representations for particular tasks. However, building the feature…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Tianjian Yang , Hao Zhou , Shuo Liu , Kaiwen Guo , Yiwen Hou , Haohua Du , Zhi Liu , Xiang-Yang Li

We introduce the functional mean-shift algorithm, an iterative algorithm for estimating the local modes of a surrogate density from functional data. We show that the algorithm can be used for cluster analysis of functional data. We propose…

Methodology · Statistics 2014-08-07 Mattia Ciollaro , Christopher Genovese , Jing Lei , Larry Wasserman

We propose a Similarity-Based Stratified Splitting (SBSS) technique, which uses both the output and input space information to split the data. The splits are generated using similarity functions among samples to place similar samples in…

Machine Learning · Computer Science 2020-10-14 Felipe Farias , Teresa Ludermir , Carmelo Bastos-Filho

Segmentation of medical images constitutes an essential component of medical image analysis, providing the foundation for precise diagnosis and efficient therapeutic interventions in clinical practices. Despite substantial progress, most…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Muzammal Shafique , Nasir Rahim , Jamil Ahmad , Mohammad Siadat , Khalid Malik , Ghaus Malik

A spatial curve dynamical model framework is adopted for functional prediction of counts in a spatiotemporal log-Gaussian Cox process model. Our spatial functional estimation approach handles both wavelet-based heterogeneity analysis in…

Methodology · Statistics 2020-10-09 Torres-Signes , M. P. Frías , J. Mateu , M. D. Ruiz-Medina

In climate change study, the infrared spectral signatures of climate change have recently been conceptually adopted, and widely applied to identifying and attributing atmospheric composition change. We propose a Bayesian hierarchical model…

Applications · Statistics 2016-04-04 Zhen Zhang , Chae Young Lim , Tapabrata Maiti , Seiji Kato

Many methods have been proposed for detecting emerging events in text streams using topic modeling. However, these methods have shortcomings that make them unsuitable for rapid detection of locally emerging events on massive text streams.…

Machine Learning · Computer Science 2016-05-31 Abhinav Maurya

Spatially Coherent Random Forest (SCRF) extends Random Forest to create spatially coherent labeling. Each split function in SCRF is evaluated based on a traditional information gain measure that is regularized by a spatial coherency term.…

Computer Vision and Pattern Recognition · Computer Science 2015-12-08 Tal Remez , Shai Avidan

We develop a "multifocal" approach to reveal spatial dissimilarities in cities, from the most local scale to the metropolitan one. Think for instance of a statistical variable that may be measured at different scales, eg ethnic group…

Physics and Society · Physics 2018-07-02 Julien Randon-Furling , Madalina Olteanu , Antoine Lucquiaud

The fundamental functional summary statistics used for studying spatial point patterns are developed for marked homogeneous and inhomogeneous point processes on the surface of a sphere. These are extended to point processes on the surface…

Methodology · Statistics 2024-10-03 Scott Ward , Edward A. K. Cohen , Niall M. Adams

Spatial functional data arise in many settings, such as particulate matter curves observed at monitoring stations and age population curves at each areal unit. Most existing functional regression models have limited applicability because…

Methodology · Statistics 2025-04-25 Heesang Lee , Dagun Oh , Sunhwa Choi , Jaewoo Park