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Recent developments in engineering techniques for spatial data collection such as geographic information systems have resulted in an increasing need for methods to analyze large spatial data sets. These sorts of data sets can be found in…

Methodology · Statistics 2020-08-14 Toshihiro Hirano

Residuals in regression models are often spatially correlated. Prominent examples include studies in environmental epidemiology to understand the chronic health effects of pollutants. I consider the effects of residual spatial structure on…

Methodology · Statistics 2010-11-05 Christopher J. Paciorek

We propose an effective subspace selection scheme as a post-processing step to improve results obtained by sparse subspace clustering (SSC). Our method starts by the computation of stable subspaces using a novel random sampling scheme. Thus…

Computer Vision and Pattern Recognition · Computer Science 2016-05-30 Duc-Son Pham , Ognjen Arandjelovic , Svetha Venkatesh

Weak gravitational lensing surveys are rapidly becoming important tools to probe directly the mass density fluctuations in the universe and its background dynamics. Earlier studies have shown that it is possible to model the statistics of…

Astrophysics · Physics 2009-11-07 Patrick Valageas , Andrew J. Barber , Dipak Munshi

Spectral-spatial processing has been increasingly explored in remote sensing hyperspectral image classification. While extensive studies have focused on developing methods to improve the classification accuracy, experimental setting and…

Computer Vision and Pattern Recognition · Computer Science 2017-03-08 Jie Liang , Jun Zhou , Yuntao Qian , Lian Wen , Xiao Bai , Yongsheng Gao

We define several new models for how to define anomalous regions among enormous sets of trajectories. These are based on spatial scan statistics, and identify a geometric region which captures a subset of trajectories which are…

Data Structures and Algorithms · Computer Science 2019-06-06 Michael Matheny , Dong Xie , Jeff M. Phillips

A central limitation of multiple-acquisition magnetic resonance imaging (MRI) is the degradation in scan efficiency as the number of distinct datasets grows. Sparse recovery techniques can alleviate this limitation via randomly undersampled…

Image and Video Processing · Electrical Eng. & Systems 2017-10-03 L Kerem Senel , Toygan Kilic , Alper Gungor , Emre Kopanoglu , H Emre Guven , Emine U Saritas , Aykut Koc , Tolga Cukur

Spatial fields in the Earth and environmental sciences are often available at multiple scales or resolutions. While coarse-scale data (e.g., from global circulation models) are often abundant, they lack the local detail provided by…

Methodology · Statistics 2026-04-01 Alejandro Calle-Saldarriaga , Paul F. V. Wiemann , Matthias Katzfuss

Spaces with locally varying scale of measurement, like multidimensional structures with differently scaled dimensions, are pretty common in statistics and machine learning. Nevertheless, it is still understood as an open question how to…

Machine Learning · Statistics 2024-03-05 Christoph Jansen , Georg Schollmeyer , Hannah Blocher , Julian Rodemann , Thomas Augustin

This work emphasizes that heterogeneity, diversity, discontinuity, and discreteness in data is to be exploited in classification and regression problems. A global a priori model may not be desirable. For data analytics in cosmology, this is…

Instrumentation and Methods for Astrophysics · Physics 2018-04-10 Fionn Murtagh

The inclusion of spatial information into spectral classifiers for fine-resolution hyperspectral imagery has led to significant improvements in terms of classification performance. The task of spectral-spatial hyperspectral image…

Computer Vision and Pattern Recognition · Computer Science 2021-09-08 Puhong Duan , Pedram Ghamisi , Xudong Kang , Behnood Rasti , Shutao Li , Richard Gloaguen

The angular power spectrum is a natural tool to analyse the observed galaxy number count fluctuations. In a standard analysis, the angular galaxy distribution is sliced into concentric redshift bins and all correlations of its harmonic…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Guglielmo Faggioli , Konstantinos Tanidis , Stefano Camera

Labeling is onerous for crowd counting as it should annotate each individual in crowd images. Recently, several methods have been proposed for semi-supervised crowd counting to reduce the labeling efforts. Given a limited labeling budget,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-09 Yongtuo Liu , Sucheng Ren , Liangyu Chai , Hanjie Wu , Jing Qin , Dan Xu , Shengfeng He

Anomaly detection in random fields is an important problem in many applications including the detection of cancerous cells in medicine, obstacles in autonomous driving and cracks in the construction material of buildings. Such anomalies are…

Statistics Theory · Mathematics 2023-11-17 Claudia Kirch , Philipp Klein , Marco Meyer

Spectral clustering is one of the most popular clustering methods. However, the high computational cost due to the involved eigen-decomposition procedure can immediately hinder its applications in large-scale tasks. In this paper we use…

Machine Learning · Computer Science 2023-01-24 Yongyu Wang

Nearest neighbor is a popular nonparametric method for classification and regression with many appealing properties. In the big data era, the sheer volume and spatial/temporal disparity of big data may prohibit centrally processing and…

Statistics Theory · Mathematics 2018-12-13 Jiexin Duan , Xingye Qiao , Guang Cheng

For a long time, many methods are developed to make temporal signal analyses based on time series. However, for geographical systems, spatial signal analyses are as important as temporal signal analyses. Nonstationary spatial and temporal…

Physics and Society · Physics 2020-12-29 Yanguang Chen , Yuqing Long

Geographical data are generally autocorrelated. In this case, it is preferable to select spread units. In this paper, we propose a new method for selecting well-spread samples from a finite spatial population with equal or unequal inclusion…

Methodology · Statistics 2020-08-11 Raphaël Jauslin , Yves Tillé

Learning-based visual localization methods that use scene coordinate regression (SCR) offer the advantage of smaller map sizes. However, on datasets with complex illumination changes or image-level ambiguities, it remains a less robust…

Computer Vision and Pattern Recognition · Computer Science 2025-04-14 Xudong Jiang , Fangjinhua Wang , Silvano Galliani , Christoph Vogel , Marc Pollefeys

Many big-data clusters store data in large partitions that support access at a coarse, partition-level granularity. As a result, approximate query processing via row-level sampling is inefficient, often requiring reads of many partitions.…

Databases · Computer Science 2020-08-25 Kexin Rong , Yao Lu , Peter Bailis , Srikanth Kandula , Philip Levis