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We propose a probabilistic model for refining coarse-grained spatial data by utilizing auxiliary spatial data sets. Existing methods require that the spatial granularities of the auxiliary data sets are the same as the desired granularity…

Machine Learning · Statistics 2019-07-19 Yusuke Tanaka , Tomoharu Iwata , Toshiyuki Tanaka , Takeshi Kurashima , Maya Okawa , Hiroyuki Toda

Kernel density estimation is a popular method for estimating unseen probability distributions. However, the convergence of these classical estimators to the true density slows down in high dimensions. Moreover, they do not define meaningful…

Statistics Theory · Mathematics 2025-05-30 Jack Kendrick

We propose a generic spatiotemporal event forecasting method, which we developed for the National Institute of Justice's (NIJ) Real-Time Crime Forecasting Challenge. Our method is a spatiotemporal forecasting model combining scalable…

Machine Learning · Statistics 2019-07-25 Seth Flaxman , Michael Chirico , Pau Pereira , Charles Loeffler

Kernel density estimation (KDE) has become a popular method for visual analysis in various fields, such as financial risk forecasting, crime clustering, and traffic monitoring. KDE can identify high-density areas from discrete datasets.…

Databases · Computer Science 2025-01-14 Yu Shao , Peng Cheng , Xiang Lian , Lei Chen , Wangze Ni , Xuemin Lin , Chen Zhang , Liping Wang

Dimensionality reduction techniques are essential for visualizing and analyzing high-dimensional biological sequencing data. t-distributed Stochastic Neighbor Embedding (t-SNE) is widely used for this purpose, traditionally employing the…

Machine Learning · Computer Science 2025-12-19 Avais Jan , Prakash Chourasia , Sarwan Ali , Murray Patterson

High-throughput chromatin conformation capture (Hi-C) data provide insights into the 3D structure of chromosomes, with normalization being a crucial pre-processing step. A common technique for normalization is matrix balancing, which…

Applications · Statistics 2025-06-17 John Park , Ning Hao , Yue Selena Niu , Ming Hu

There is a large number of data archives and web services offering free access to multispectral satellite imagery. Images from multiple sources are increasingly combined to improve the spatio-temporal coverage of measurements while…

Computation · Statistics 2020-02-10 U. Pérez-Goya , M. Montesino-SanMartin , A. F. Militino , M. D. Ugarte

Advances in climate science have rendered obsolete gridded observation data sets commonly used in macroecological analyses. Novel climate reanalysis products outperform legacy data products in accuracy, temporal resolution, and provision of…

Atmospheric and Oceanic Physics · Physics 2022-02-02 Erik Kusch , Richard Davy

Graph spectral techniques for measuring graph similarity, or for learning the cluster number, require kernel smoothing. The choice of kernel function and bandwidth are typically chosen in an ad-hoc manner and heavily affect the resulting…

Machine Learning · Statistics 2019-12-20 Diego Granziol , Robin Ru , Stefan Zohren , Xiaowen Dong , Michael Osborne , Stephen Roberts

Dealing with land cover classification of the new image sources has also turned to be a complex problem requiring large amount of memory and processing time. In order to cope with these problems, statistical learning has greatly helped in…

This article addresses extraction of physically meaningful information from STEM EELS and EDX spectrum-images using methods of Multivariate Statistical Analysis. The problem is interpreted in terms of data distribution in a…

Data Analysis, Statistics and Probability · Physics 2021-05-24 Pavel Potapov , Axel Lubk

To cope with the high requirements during the computation of semantic segmentations of earth observation imagery, current state-of-the-art pipelines divide the corresponding data into smaller images. Existing methods and benchmark datasets…

Computer Vision and Pattern Recognition · Computer Science 2023-06-08 Sebastian Bullinger , Florian Fervers , Christoph Bodensteiner , Michael Arens

Context. Gravitational lensing is one of the leading tools in understanding the dark side of the Universe. The need for accurate, efficient and effective methods which are able to extract this information along with other cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Marika Asgari , Peter Schneider , Patrick Simon

In this paper, we analyze the spatial information of deep features, and propose two complementary regressions for robust visual tracking. First, we propose a kernelized ridge regression model wherein the kernel value is defined as the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Chong Sun , Dong Wang , Huchuan Lu , Ming-Hsuan Yang

This paper proposes nonparametric kernel-smoothing estimation for panel data to examine the degree of heterogeneity across cross-sectional units. We first estimate the sample mean, autocovariances, and autocorrelations for each unit and…

Econometrics · Economics 2019-05-28 Ryo Okui , Takahide Yanagi

Shape-based regularization has proven to be a useful method for delineating objects within noisy images where one has prior knowledge of the shape of the targeted object. When a collection of possible shapes is available, the specification…

Computer Vision and Pattern Recognition · Computer Science 2014-05-05 Joshua C. Chang , Tom Chou

In the present work we have selected a collection of statistical and mathematical tools useful for the exploration of multivariate data and we present them in a form that is meant to be particularly accessible to a classically trained…

Statistics Theory · Mathematics 2010-09-01 Magnus Fontes

Due to their flexibility and superior performance, machine learning models frequently complement and outperform traditional statistical survival models. However, their widespread adoption is hindered by a lack of user-friendly tools to…

Cox analysis is a common clinical data analysis technique to link valuable variables to clinical outcomes including dead and relapse. In the omics era, Cox model batch processing is a basic strategy for screening clinically relevant…

Quantitative Methods · Quantitative Biology 2021-10-28 Shixiang Wang , Xue-Song Liu , Jianfeng Li , Qi Zhao

Given a set of points $P\subset \mathbb{R}^{d}$ and a kernel $k$, the Kernel Density Estimate at a point $x\in\mathbb{R}^{d}$ is defined as $\mathrm{KDE}_{P}(x)=\frac{1}{|P|}\sum_{y\in P} k(x,y)$. We study the problem of designing a data…

Data Structures and Algorithms · Computer Science 2018-09-03 Moses Charikar , Paris Siminelakis
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