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Additive spatial statistical models with weakly stationary process assumptions have become standard in spatial statistics. However, one disadvantage of such models is the computation time, which rapidly increases with the number of data…

Methodology · Statistics 2024-10-18 Sudipto Saha , Jonathan R. Bradley

We present a novel Bayesian spatial disaggregation model for count data, providing fast and flexible inference at high resolution. First, it incorporates non-linear covariate effects using penalized splines, a flexible approach that is not…

Methodology · Statistics 2026-04-13 Sara Rutten , Thomas Neyens , Elisa Duarte , Christel Faes

This article introduces the sparse group fused lasso (SGFL) as a statistical framework for segmenting sparse regression models with multivariate time series. To compute solutions of the SGFL, a nonsmooth and nonseparable convex program, we…

Computation · Statistics 2020-10-09 David Degras

As our planet is entering into the "global boiling" era, understanding regional climate change becomes imperative. Effective downscaling methods that provide localized insights are crucial for this target. Traditional approaches, including…

Atmospheric and Oceanic Physics · Physics 2024-04-08 Fenghua Ling , Zeyu Lu , Jing-Jia Luo , Lei Bai , Swadhin K. Behera , Dachao Jin , Baoxiang Pan , Huidong Jiang , Toshio Yamagata

This paper considers a high-dimensional linear regression problem where there are complex correlation structures among predictors. We propose a graph-constrained regularization procedure, named Sparse Laplacian Shrinkage with the Graphical…

Methodology · Statistics 2019-04-10 Yuehan Yang , Siwei Xia , Hu Yang

Weak lensing shear estimation typically results in per galaxy statistical errors significantly larger than the sought after gravitational signal of only a few percent. These statistical errors are mostly a result of shape-noise -- an…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-08 Ofer M. Springer , Eran O. Ofek , Yair Weiss , Julian Merten

In this paper, we present a Bayesian approach for spectral unmixing of multispectral Lidar (MSL) data associated with surface reflection from targeted surfaces composed of several known materials. The problem addressed is the estimation of…

Methodology · Statistics 2015-10-28 Yoann Altmann , Andrew Wallace , Steve McLaughlin

The generalized linear mixed model (GLMM) is widely used for analyzing correlated data, particularly in large-scale biomedical and social science applications. Scalable Bayesian inference for GLMMs is challenging because the marginal…

Computation · Statistics 2026-01-07 Samuel I. Berchuck , Youngsoo Baek , Felipe A. Medeiros , Andrea Agazzi

We study an $\ell_{1}$-regularized generalized least-squares (GLS) estimator for high-dimensional regressions with autocorrelated errors. Specifically, we consider the case where errors are assumed to follow an autoregressive process,…

Methodology · Statistics 2025-10-17 Kaveh S. Nobari , Alex Gibberd

With massive high-dimensional data now commonplace in research and industry, there is a strong and growing demand for more scalable computational techniques for data analysis and knowledge discovery. Key to turning these data into knowledge…

Data Structures and Algorithms · Computer Science 2016-06-17 Yasuo Tabei , Hiroto Saigo , Yoshihiro Yamanishi , Simon J. Puglisi

The Biogeochemical-Argo (BGC-Argo) program is building a network of globally distributed, sensor-equipped robotic profiling floats, improving our understanding of the climate system and how it is changing. These floats, however, are limited…

Machine Learning · Computer Science 2021-11-02 Ellen Park , Jae Deok Kim , Nadege Aoki , Yumeng Melody Cao , Yamin Arefeen , Matthew Beveridge , David Nicholson , Iddo Drori

Downscaling is necessary to generate high-resolution observation data to validate the climate model forecast or monitor rainfall at the micro-regional level operationally. Dynamical and statistical downscaling models are often used to get…

Atmospheric and Oceanic Physics · Physics 2023-02-28 Bipin Kumar , Rajib Chattopadhyay , Manmeet Singh , Niraj Chaudhari , Karthik Kodari , Amit Barve

This article introduces a new efficient particle method for the numerical simulation of crystallization and precipitation at the pore scale of real rock geometries extracted by X-Ray tomography. It is based on the coupling between…

Computational Engineering, Finance, and Science · Computer Science 2025-03-11 Sarah Perez , Jean-Matthieu Etancelin , Philippe Poncet

High-resolution climate projections are essential for local decision-making. However, available climate projections have low spatial resolution (e.g. 12.5 km), which limits their usability. We address this limitation by leveraging…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Petr Košťál , Pavel Kordík , Ondřej Podsztavek

The coupling of models for the different components of the Soil-Vegetation-Atmosphere-System is required to investigate component interactions and feedback processes. However, the component models for atmosphere, land-surface and subsurface…

Atmospheric and Oceanic Physics · Physics 2014-07-08 Tanja Zerenner , Victor Venema , Petra Friederichs , Clemens Simmer

Statistical multispecies models of multiarea marine ecosystems use a variety of data sources to estimate parameters using composite or weighted likelihood functions with associated weighting issues and questions on how to obtain variance…

Applications · Statistics 2012-02-16 Lorna Taylor , Verena M. Trenkel , Vojtech Kupca , Gunnar Stefansson

We present the Multilevel Bregman Proximal Gradient Descent (ML BPGD) method, a novel multilevel optimization framework tailored to constrained convex problems with relative Lipschitz smoothness. Our approach extends the classical…

Optimization and Control · Mathematics 2026-05-06 Yara Elshiaty , Stefania Petra

The multivariate adaptive regression spline (MARS) approach of Friedman (1991) and its Bayesian counterpart (Francom et al. 2018) are effective approaches for the emulation of computer models. The traditional assumption of Gaussian errors…

Methodology · Statistics 2024-07-23 Kellin Rumsey , Devin Francom , Andy Shen

This paper presents a novel efficient method for gridless line spectrum estimation problem with single snapshot, namely the gradient descent least squares (GDLS) method. Conventional single snapshot (a.k.a. single measure vector or SMV)…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Ruizhe Shi , Zhe Zhang , Xiaolan Qiu , Chibiao Ding

Bayesian Last Layer (BLL) models focus solely on uncertainty in the output layer of neural networks, demonstrating comparable performance to more complex Bayesian models. However, the use of Gaussian priors for last layer weights in…

Machine Learning · Computer Science 2024-08-08 Jian Xu , Zhiqi Lin , Shigui Li , Min Chen , Junmei Yang , Delu Zeng , John Paisley
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