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Stationary Random Functions have been successfully applied in geostatistical applications for decades. In some instances, the assumption of a homogeneous spatial dependence structure across the entire domain of interest is unrealistic. A…

Methodology · Statistics 2014-12-04 Francky Fouedjio , Nicolas Desassis , Thomas Romary

In this paper, two problems that show great similarities are examined. The first problem is the reconstruction of the angular-domain periodogram from spatial-domain signals received at different time indices. The second one is the…

Other Computer Science · Computer Science 2016-11-17 Dyonisius Dony Ariananda , Daniel Romero , Geert Leus

Recent advances in unsupervised learning have highlighted the possibility of learning to reconstruct signals from noisy and incomplete linear measurements alone. These methods play a key role in medical and scientific imaging and sensing,…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Julián Tachella , Laurent Jacques

Spatially isotropic max-stable processes have been used to model extreme spatial or space-time observations. One prominent model is the Brown-Resnick process, which has been successfully fitted to time series, spatial data and space-time…

Methodology · Statistics 2016-06-08 Sven Buhl , Claudia Klüppelberg

Compressed sensing is a signal processing scheme that reconstructs high-dimensional sparse signals from a limited number of observations. In recent years, various problems involving signals with a finite number of discrete values have been…

Statistical Mechanics · Physics 2024-08-20 Mikiya Doi , Masayuki Ohzeki

Contrary to the traditional pursuit of research on nonuniform sampling of bandlimited signals, the objective of the present paper is not to find sampling conditions that permit perfect reconstruction, but to perform the best possible signal…

Signal Processing · Electrical Eng. & Systems 2024-04-05 Nguyen T. Thao , Dominik Rzepka , Marek Miskowicz

Reconstructing astrophysical and cosmological fields from observations is challenging. It requires accounting for non-linear transformations, mixing of spatial structure, and noise. In contrast, forward simulators that map fields to…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-01 Florian List , Noemi Anau Montel , Christoph Weniger

Although spatial prediction is widely used for urban and environmental monitoring, its accuracy is often unsatisfactory if only a small number of samples are available in the study area. The objective of this study was to improve the…

Applications · Statistics 2022-11-22 Daisuke Murakami , Mami Kajita , Seiji Kajita

This paper considers the problem of binary distributed detection of a known signal in correlated Gaussian sensing noise in a wireless sensor network, where the sensors are restricted to use likelihood ratio test (LRT), and communicate with…

Information Theory · Computer Science 2016-01-20 Nahal Maleki , Azadeh Vosoughi , Nazanin Rahnavard

Accurately forecasting urban development and its environmental and climate impacts critically depends on realistic models of the spatial structure of the built environment, and of its dependence on key factors such as population and…

Machine Learning · Computer Science 2019-07-24 Adrian Albert , Jasleen Kaur , Emanuele Strano , Marta Gonzalez

A new method for multimodal sensor fusion is introduced. The technique relies on a two-stage process. In the first stage, a multimodal generative model is constructed from unlabelled training data. In the second stage, the generative model…

Artificial Intelligence · Computer Science 2025-05-29 Robert J. Piechocki , Xiaoyang Wang , Mohammud J. Bocus

The Atmospheric Radiation Measurement program is a U.S. Department of Energy project that collects meteorological observations at several locations around the world in order to study how weather processes affect global climate change. As…

Applications · Statistics 2013-12-02 Joseph Guinness , Michael L. Stein

The problem of distributed identification of linear stochastic system with unknown coefficients over time-varying networks is considered. For estimating the unknown coefficients, each agent in the network can only access the input and the…

Systems and Control · Electrical Eng. & Systems 2021-08-04 Kewei Fu , Han-Fu Chen , Wenxiao Zhao

We consider optimal sensor placement for hyper-parameterized linear Bayesian inverse problems, where the hyper-parameter characterizes nonlinear flexibilities in the forward model, and is considered for a range of possible values. This…

Numerical Analysis · Mathematics 2020-11-24 Nicole Aretz-Nellesen , Peng Chen , Martin A. Grepl , Karen Veroy

Low-cost air pollution sensors, offering hyper-local characterization of pollutant concentrations, are becoming increasingly prevalent in environmental and public health research. However, low-cost air pollution data can be noisy, biased by…

Applications · Statistics 2023-02-21 Claire Heffernan , Roger Peng , Drew R. Gentner , Kirsten Koehler , Abhirup Datta

An algorithm for non-stationary spatial modelling using multiple secondary variables is developed. It combines Geostatistics with Quantile Random Forests to give a new interpolation and stochastic simulation algorithm. This paper introduces…

Methodology · Statistics 2022-01-13 Colin Daly

Semantic change detection is an important task in geoscience and earth observation. By producing a semantic change map for each temporal phase, both the land use land cover categories and change information can be interpreted. Recently some…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Chenyao Zhou , Haotian Zhang , Han Guo , Zhengxia Zou , Zhenwei Shi

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…

Econometrics · Economics 2025-11-06 Susanne M. Schennach , Vincent Starck

We propose a Bayesian hierarchical model to address the challenge of spatial misalignment in spatio-temporal data obtained from in situ and satellite sources. The model is fit using the INLA-SPDE approach, which provides efficient…

Methodology · Statistics 2024-01-10 Shiyu He , Samuel W. K. Wong

Spatial point pattern data are routinely encountered. A flexible regression model for the underlying intensity is essential to characterizing the spatial point pattern and understanding the impacts of potential risk factors on such pattern.…

Methodology · Statistics 2022-12-15 Jieying Jiao , Guanyu Hu , Jun Yan
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