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The semivarying coefficient models are widely used in the application of finance, economics, medical science and many other areas. The functional coefficients are commonly estimated by local smoothing methods, e.g. local linear estimator.…

统计方法学 · 统计学 2020-01-01 Heng Peng , Chuanlong Xie , Jingxin Zhao

We construct a Gaussian random field (GRF) that combines fractional smoothness with spatially varying anisotropy. The GRF is defined through a stochastic partial differential equation (SPDE), where the range, marginal variance, and…

统计方法学 · 统计学 2025-12-23 Elling Svee , Geir-Arne Fuglstad

Multivariate regression techniques are commonly applied to explore the associations between large numbers of outcomes and predictors. In real-world applications, the outcomes are often of mixed types, including continuous measurements,…

统计方法学 · 统计学 2020-10-19 Aditya Mishra , Dipak K. Dey , Yong Chen , Kun Chen

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…

统计方法学 · 统计学 2026-04-13 Sara Rutten , Thomas Neyens , Elisa Duarte , Christel Faes

We present a new method for estimating multivariate, second-order stationary Gaussian Random Field (GRF) models based on the Sparse Precision matrix Selection (SPS) algorithm, proposed by Davanloo et al. (2015) for estimating scalar GRF…

机器学习 · 统计学 2021-01-12 Sam Davanloo Tajbakhsh , Necdet Serhat Aybat , Enrique del Castillo

Spatially and temporally varying coefficient (STVC) models are currently attracting attention as a flexible tool to explore the spatio-temporal patterns in regression coefficients. However, these models often struggle with balancing…

统计方法学 · 统计学 2025-01-07 Daisuke Murakami , Shinichiro Shirota , Seiji Kajita , Mami Kajita

Fitting statistical models to spatiotemporal data requires finding the right balance between imposing smoothness and following the data. In the context of p-splines, we propose a Bayesian framework for choosing the smoothing parameter which…

应用统计 · 统计学 2013-10-30 A. W. Bowman , L. Evers , D. Molinari , W. R. Jones , M. J. Spence

The Space-Time Video Super-Resolution (STVSR) task aims to enhance the visual quality of videos, by simultaneously performing video frame interpolation (VFI) and video super-resolution (VSR). However, facing the challenge of the additional…

计算机视觉与模式识别 · 计算机科学 2023-11-28 Zhewei Huang , Ailin Huang , Xiaotao Hu , Chen Hu , Jun Xu , Shuchang Zhou

The intersection between classical data assimilation methods and novel machine learning techniques has attracted significant interest in recent years. Here we explore another promising solution in which diffusion models are used to…

数学物理 · 物理学 2024-04-02 Feng Bao , Hristo G. Chipilski , Siming Liang , Guannan Zhang , Jeffrey S. Whitaker

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…

统计计算 · 统计学 2020-10-09 David Degras

Edge-preserving smoothing (EPS) can be formulated as minimizing an objective function that consists of data and prior terms. This global EPS approach shows better smoothing performance than a local one that typically has a form of weighted…

计算机视觉与模式识别 · 计算机科学 2016-04-27 Youngjung Kim , Dongbo Min , Bumsub Ham , Kwanghoon Sohn

This paper introduces an innovative end-to-end model-based deep learning approach for efficient electromagnetic analysis of high-dimensional frequency selective surfaces (FSS). Unlike traditional data-driven methods that require large…

机器学习 · 计算机科学 2024-10-23 Cheima Hammami , Lucas Polo-López , Luc Le Magoarou

This research presents an Encoded Spatial Multi-Tier Federated Learning approach for a comprehensive evaluation of aggregated models for geospatial data. In the client tier, encoding spatial information is introduced to better predict the…

机器学习 · 计算机科学 2025-01-13 Asfia Kawnine , Francis Palma , Seyed Alireza Rahimi Azghadi , Hung Cao

Mixed spatial autoregressive (SAR) models with numerical covariates have been well studied. However, as non-numerical data, such as functional data and compositional data, receive substantial amounts of attention and are applied to…

应用统计 · 统计学 2018-11-08 Huiwen Wang , Tingting Huang , Shanshan Wang

Identifying the underlying models in a set of data points contaminated by noise and outliers, leads to a highly complex multi-model fitting problem. This problem can be posed as a clustering problem by the projection of higher order…

计算机视觉与模式识别 · 计算机科学 2018-08-01 Ruwan Tennakoon , Alireza Sadri , Reza Hoseinnezhad , Alireza Bab-Hadiashar

In this paper, we propose oversampling strategies in the Generalized Multiscale Finite Element Method (GMsFEM) framework. The GMsFEM, which has been recently introduced in [12], allows solving multiscale parameter-dependent problems at a…

偏微分方程分析 · 数学 2013-04-18 Yalchin Efendiev , Juan Galvis , Guanglian Li , Michael Presho

Gaussian fields (GFs) are frequently used in spatial statistics for their versatility. The associated computational cost can be a bottleneck, especially in realistic applications. It has been shown that computational efficiency can be…

统计计算 · 统计学 2015-03-13 Xiaoyu Liu , Serge Guillas , Ming-Jun Lai

Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective properties from these local solutions. In some cases, the…

数值分析 · 数学 2016-06-21 Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Maria Vasilyeva

Foreground segmentation is an essential task in the field of image understanding. Under unsupervised conditions, different images and instances always have variable expressions, which make it difficult to achieve stable segmentation…

计算机视觉与模式识别 · 计算机科学 2020-05-22 Xi Li , Huimin Ma , Hongbing Ma , Yidong Wang

A Semi-supervised Segmentation Fusion algorithm is proposed using consensus and distributed learning. The aim of Unsupervised Segmentation Fusion (USF) is to achieve a consensus among different segmentation outputs obtained from different…

计算机视觉与模式识别 · 计算机科学 2015-02-27 Mete Ozay