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In this paper, we focus on the model specification problem in multivariate spatial econometric models when a candidate set for the spatial weights matrix is available. We propose a model selection method for the multivariate spatial…

统计方法学 · 统计学 2025-09-09 Xin Miao , Fang Fang , Xuening Zhu , Hansheng Wang

In this paper, we propose a general approach called Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations for problems without scale separation over a complex input space. As in multiscale finite…

数值分析 · 数学 2015-06-12 Yalchin Efendiev , Juan Galvis , Thomas Y. Hou

The Distributed Adaptive Signal Fusion (DASF) framework is a meta-algorithm for computing data-driven spatial filters in a distributed sensing platform with limited bandwidth and computational resources, such as a wireless sensor network.…

信号处理 · 电气工程与系统科学 2024-05-07 Charles Hovine , Alexander Bertrand

This paper concerns the use of sequential Monte Carlo methods (SMC) for smoothing in general state space models. A well-known problem when applying the standard SMC technique in the smoothing mode is that the resampling mechanism introduces…

统计理论 · 数学 2008-03-06 Jimmy Olsson , Olivier Cappé , Randal Douc , Eric Moulines

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…

统计方法学 · 统计学 2013-06-17 Hien D. Nguyen , Geoffrey J. McLachlan , Ian A. Wood

The Ensemble Kalman Filters (EnKF) employ a Monte-Carlo approach to represent covariance information, and are affected by sampling errors in operational settings where the number of model realizations is much smaller than the model state…

统计方法学 · 统计学 2022-06-06 Andrey A Popov , Adrian Sandu , Elias D. Nino-Ruiz , Geir Evensen

We propose a new estimation methodology to address the presence of covariate measurement error by exploiting the availability of spatial data. The approach uses neighboring observations as repeated measurements, after suitably controlling…

计量经济学 · 经济学 2025-11-06 Susanne M. Schennach , Vincent Starck

Spatial data are central to applications such as environmental monitoring and urban planning, but are often distributed across devices where privacy and communication constraints limit direct sharing. Federated modeling offers a practical…

统计方法学 · 统计学 2025-10-03 Jianwei Shi , Sameh Abdulah , Ying Sun , Marc G. Genton

This paper develops efficient ensemble Kalman filter (EnKF) implementations based on shrinkage covariance estimation. The forecast ensemble members at each step are used to estimate the background error covariance matrix via the…

统计理论 · 数学 2015-02-03 Elias D. Nino-Ruiz , Adrian Sandu

This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

统计计算 · 统计学 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

This paper addresses the inference of spatial dependence in the context of a recently proposed framework. More specifically, the paper focuses on the estimation of model parameters for a class of generalized Gibbs random fields, i.e.,…

统计理论 · 数学 2007-06-13 Samuel Elogne , Dionisis Hristopulos

We study distributed optimization algorithms for minimizing the average of \emph{heterogeneous} functions distributed across several machines with a focus on communication efficiency. In such settings, naively using the classical stochastic…

机器学习 · 计算机科学 2020-11-18 Ilqar Ramazanli , Han Nguyen , Hai Pham , Sashank J. Reddi , Barnabas Poczos

A general framework of spatio-spectral segmentation for multi-spectral images is introduced in this paper. The method is based on classification-driven stochastic watershed (WS) by Monte Carlo simulations, and it gives more regular and…

计算机视觉与模式识别 · 计算机科学 2016-02-10 Guillaume Noyel , Jesus Angulo , Dominique Jeulin

Spatial prediction is commonly achieved under the assumption of a Gaussian random field (GRF) by obtaining maximum likelihood estimates of parameters, and then using the kriging equations to arrive at predicted values. For massive datasets,…

统计方法学 · 统计学 2021-07-20 Karl T. Pazdernik , Ranjan Maitra

This paper introduces a simple but highly efficient ensemble for robust texture classification, which can effectively deal with translation, scale and changes of significant viewpoint problems. The proposed method first inherits the spirit…

计算机视觉与模式识别 · 计算机科学 2012-03-06 Shu Kong , Donghui Wang

This paper describes and illustrates new functionality for fitting spatially varying coefficients models in the spBayes (version 0.4-2) R package. The new spSVC function uses a computationally efficient Markov chain Monte Carlo algorithm…

统计计算 · 统计学 2020-01-01 Andrew O. Finley , Sudipto Banerjee

Federated learning increasingly operates in a large-model regime where communication, memory, and computation are all scarce. Typically, non-IID client data induce drift that degrades the stability and performance of local training.…

机器学习 · 计算机科学 2026-04-29 Shuchen Zhu , Zhengyang Huang , Yuqi Xu , Peijin Li

Spatial regression is widely used for modeling the relationship between a dependent variable and explanatory covariates. Oftentimes, the linear relationships vary across space, when some covariates have location-specific effects on the…

统计方法学 · 统计学 2020-12-18 Xin Wang , Zhengyuan Zhu , Hao Helen Zhang

This work develops a block aggregation approach to spatial estimation and prediction when the response is observed at a coarse spatial scale, for example as counts of events in administrative areas, or blocks, while covariates are available…

We present a comprehensive convergence analysis for Self-Consistent Field (SCF) iteration to solve a class of nonlinear eigenvalue problems with eigenvector-dependency (NEPv). Using a tangent-angle matrix as an intermediate measure for…

数值分析 · 数学 2020-09-22 Zhaojun Bai , Ren-Cang Li , Ding Lu