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While the formulation of most data assimilation schemes assumes an unbiased observation model error, in real applications, model error with nontrivial biases is unavoidable. A practical example is the error in the radiative transfer model…

Methodology · Statistics 2016-11-17 John Harlim , Tyrus Berry

A spatial distributional regression model is presented to predict the forest structural diversity in terms of the distributions of the stem diameter at breast height (DBH) in the protection forests in Ebensee, Austria. In total 36,338…

Prior specifications for hyperparameters of random fields in Bayesian spatial point process modelling can have a major impact on the statistical inference and the conclusions made. We consider fitting of log-Gaussian Cox processes to…

Methodology · Statistics 2017-09-21 Sigrunn H. Sørbye , Janine B. Illian , Daniel P. Simpson , David Burslem

Change detection is one of the most challenging issues when analyzing remotely sensed images. Comparing several multi-date images acquired through the same kind of sensor is the most common scenario. Conversely, designing robust, flexible…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Vinicius Ferraris , Nicolas Dobigeon , Qi Wei , Marie Chabert

Gaussian processes provide a flexible framework for spatial prediction, but their computational cost limits applicability to large-scale data with large sample size $n$. Predictive processes (PPs), a popular low-rank approximation, mitigate…

Methodology · Statistics 2026-03-23 Nicolas Bianco , Nadja Klein

Imputation of missing data in large regions of satellite imagery is necessary when the acquired image has been damaged by shadows due to clouds, or information gaps produced by sensor failure. The general approach for imputation of missing…

Applications · Statistics 2010-06-23 Valeria Rulloni , Oscar Bustos , Ana Georgina Flesia

Adapting large-scale foundation models to new domains with limited supervision remains a fundamental challenge due to latent distribution mismatch, unstable optimization dynamics, and miscalibrated uncertainty propagation. This paper…

Machine Learning · Computer Science 2026-03-27 Aueaphum Aueawatthanaphisut , Kuepon Auewattanapisut

Multi-sensor state space models underpin fusion applications in networks of sensors. Estimation of latent parameters in these models has the potential to provide highly desirable capabilities such as network self-calibration. Conventional…

Systems and Control · Computer Science 2018-01-04 Murat Uney , Bernard Mulgrew , Daniel E Clark

Data assimilation is an iterative approach to the problem of estimating the state of a dynamical system using both current and past observations of the system together with a model for the system's time evolution. Rather than solving the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Brian R. Hunt , Eric J. Kostelich , Istvan Szunyogh

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…

Berger et al. (2001) and Ren et al. (2012) derived noninformative priors for Gaussian process models of spatially correlated data using the reference prior approach (Berger, Bernardo, 1991). The priors have good statistical properties and…

Methodology · Statistics 2023-07-19 Ryan Burn

Bayesian model-based spatial clustering methods are widely used for their flexibility in estimating latent clusters with an unknown number of clusters while accounting for spatial proximity. Many existing methods are designed for clustering…

Methodology · Statistics 2025-08-13 Kun Huang , Huiyan Sang

It has become increasingly common to collect high-dimensional binary response data; for example, with the emergence of new sampling techniques in ecology. In smaller dimensions, multivariate probit (MVP) models are routinely used for…

Methodology · Statistics 2022-10-26 Antik Chakraborty , Rihui Ou , David B. Dunson

Bayesian methods are increasingly being applied to parameterize mechanistic process models used in environmental prediction and forecasting. In particular, models describing ecosystem dynamics with multiple states that are linear and…

Applications · Statistics 2021-10-19 John W. Smith , Leah R. Johnson , Robert Q. Thomas

Bayesian experimental design (BED) provides a principled framework for optimizing data collection by choosing experiments that are maximally informative about unknown parameters. However, existing methods cannot deal with the joint…

Machine Learning · Statistics 2026-01-30 Sara Pérez-Vieites , Sahel Iqbal , Simo Särkkä , Dominik Baumann

Gaussian process regression is widely applied in computational science and engineering for surrogate modeling owning to its kernel-based and probabilistic nature. In this work, we propose a Bayesian approach that integrates the variability…

Machine Learning · Computer Science 2025-01-03 Dongwei Ye , Weihao Yan , Christoph Brune , Mengwu Guo

The aim of this paper is to explore and develop advanced spatial Bayesian assessment methods and techniques for land use modeling. The paper provides a comprehensive guide for assessing additional informational entropy value of model…

Methodology · Statistics 2008-06-17 Kostas Alexandridis , Bryan C. Pijanowski

Model-based approaches bear great promise for decision making of agents interacting with the physical world. In the context of spatial environments, different types of problems such as localisation, mapping, navigation or autonomous…

Machine Learning · Statistics 2019-06-21 Atanas Mirchev , Baris Kayalibay , Maximilian Soelch , Patrick van der Smagt , Justin Bayer

Real-time satellite imaging has a central role in monitoring, detecting and estimating the intensity of key natural phenomena such as floods, earthquakes, etc. One important constraint of satellite imaging is the trade-off between…

Image and Video Processing · Electrical Eng. & Systems 2023-01-09 Haoqing Li , Bhavya Duvvuri , Ricardo Borsoi , Tales Imbiriba , Edward Beighley , Deniz Erdogmus , Pau Closas

This paper introduces a spatio-temporal resonator model and an inference method for detection and estimation of nearly periodic temporal phenomena in spatio-temporal data. The model is derived as a spatial extension of a stochastic harmonic…

Computation · Statistics 2013-12-23 Arno Solin , Simo Särkkä
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