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We present an extension of the functional data analysis framework for univariate functions to the analysis of surfaces: functions of two variables. The spatial spline regression (SSR) approach developed can be used to model surfaces that…

Methodology · Statistics 2013-06-17 Hien D. Nguyen , Geoffrey J. McLachlan , Ian A. Wood

Calibration ensures that predicted uncertainties align with observed uncertainties. While there is an extensive literature on recalibration methods for univariate probabilistic forecasts, work on calibration for multivariate forecasts is…

Methodology · Statistics 2026-04-02 Lucas Kock , G. S. Rodrigues , Scott A. Sisson , Nadja Klein , David J. Nott

High-dimensional time series forecasting suffers from severe overfitting when the number of predictors exceeds available observations, making standard local projection methods unstable and unreliable. We propose an enhanced Random Subspace…

Machine Learning · Computer Science 2026-03-10 Eman Khalid , Moimma Ali Khan , Zarmeena Ali , Abdullah Illyas , Muhammad Usman , Saoud Ahmed

We develop a Bayesian methodology aimed at simultaneously estimating low-rank and row-sparse matrices in a high-dimensional multiple-response linear regression model. We consider a carefully devised shrinkage prior on the matrix of…

Methodology · Statistics 2019-04-10 Antik Chakraborty , Anirban Bhattacharya , Bani K. Mallick

The advent of the Internet era has led to an explosive growth in the Electronic Health Records (EHR) in the past decades. The EHR data can be regarded as a collection of clinical events, including laboratory results, medication records,…

Machine Learning · Computer Science 2019-11-14 Zichang Wang , Haoran Li , Luchen Liu , Haoxian Wu , Ming Zhang

Neurons can code for multiple variables simultaneously and neuroscientists are often interested in classifying neurons based on their receptive field properties. Statistical models provide powerful tools for determining the factors…

Neurons and Cognition · Quantitative Biology 2022-10-28 Mehrad Sarmashghi , Shantanu P. Jadhav , Uri T. Eden

Reduced-rank (RR) regression may be interpreted as a dimensionality reduction technique able to reveal complex relationships among the data parsimoniously. However, RR regression models typically overlook any potential group structure among…

Methodology · Statistics 2024-06-26 Maria F. Pintado , Matteo Iacopini , Luca Rossini , Alexander Y. Shestopaloff

Low-rank structure have been profoundly studied in data mining and machine learning. In this paper, we show a dense matrix $X$'s low-rank approximation can be rapidly built from its left and right random projections $Y_1=XA_1$ and…

Machine Learning · Statistics 2011-12-23 Tianyi Zhou , Dacheng Tao

We introduce Spatial Reasoning Models (SRMs), a framework to perform reasoning over sets of continuous variables via denoising generative models. SRMs infer continuous representations on a set of unobserved variables, given observations on…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Christopher Wewer , Bart Pogodzinski , Bernt Schiele , Jan Eric Lenssen

Spatial Transcriptomics (ST) enables the measurement of gene expression while preserving spatial information, offering critical insights into tissue architecture and disease pathology. Recent developments have explored the use of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Hai Dang Nguyen , Nguyen Dang Huy Pham , The Minh Duc Nguyen , Dac Thai Nguyen , Hang Thi Nguyen , Duong M. Nguyen

Spatial-temporal forecasting is crucial and widely applicable in various domains such as traffic, energy, and climate. Benefiting from the abundance of unlabeled spatial-temporal data, self-supervised methods are increasingly adapted to…

Machine Learning · Computer Science 2024-12-20 Qi Zheng , Zihao Yao , Yaying Zhang

We aim to incorporate variable selection routines into variable-by-variable (or sequential) imputation in clustered data to achieve computational improvement in applications with large-scale health data. Specifically, we utilize variable…

Methodology · Statistics 2025-04-08 Qiushuang Li , Recai Yucel

Residual bootstrap is a classical method for statistical inference in regression settings. With massive data sets becoming increasingly common, there is a demand for computationally efficient alternatives to residual bootstrap. We propose a…

Methodology · Statistics 2024-09-30 Indrila Ganguly , Srijan Sengupta , Sujit Ghosh

Understanding the spatiotemporal dynamics of disease progression in relation to transcriptomic profiles provides key insights into complex conditions such as Alzheimer disease. To enable such investigations, STARmap PLUS technology offers…

Applications · Statistics 2026-04-28 Zitian Wu , Susmita Datta , Arkaprava Roy

Magnetic Resonance Fingerprinting (MRF) is a time-efficient approach to quantitative MRI for multiparametric tissue mapping. The reconstruction of quantitative maps requires tailored algorithms for removing aliasing artefacts from the…

Image and Video Processing · Electrical Eng. & Systems 2024-12-19 Perla Mayo , Matteo Cencini , Carolin M. Pirkl , Marion I. Menzel , Michela Tosetti , Bjoern H. Menze , Mohammad Golbabaee

This study introduces the Spatial Health and Population Estimator (SHAPE), a spatial microsimulation framework that applies hierarchical iterative proportional fitting (IPF) to estimate two health risk behaviors and eleven health outcomes…

Applications · Statistics 2025-10-28 Emma Von Hoene , Aanya Gupta , Hamdi Kavak , Amira Roess , Taylor Anderson

The opioid epidemic remains a major public health challenge in the United States, requiring a multi-pronged intervention approach to mitigate harms to communities. Given the heterogeneity of the epidemic across the country, it is crucial…

Applications · Statistics 2026-04-13 Abdulrahman A. Ahmed , M. Amin Rahimian , Qiushi Chen , Praveen Kumar

We propose a method for constructing confidence intervals that account for many forms of spatial correlation. The interval has the familiar `estimator plus and minus a standard error times a critical value' form, but we propose new methods…

Econometrics · Economics 2021-02-19 Ulrich K. Müller , Mark W. Watson

Extreme environmental events frequently exhibit spatial and temporal dependence. These data are often modeled using max stable processes (MSPs). MSPs are computationally prohibitive to fit for as few as a dozen observations, with supposed…

Methodology · Statistics 2022-05-02 Emily C. Hector , Brian J. Reich

Spatial and spatiotemporal machine-learning models require a suitable framework for their model assessment, model selection, and hyperparameter tuning, in order to avoid error estimation bias and over-fitting. This contribution reviews the…

Machine Learning · Statistics 2022-11-03 Patrick Schratz , Marc Becker , Michel Lang , Alexander Brenning