A Markov Reward Process-Based Approach to Spatial Interpolation
@article{Arp2021AMR, title={A Markov Reward Process-Based Approach to Spatial Interpolation}, author={Laurens Arp}, journal={ArXiv}, year={2021}, volume={abs/2106.00538} }
The interpolation of spatial data can be of tremendous value in various applications, such as forecasting weather from only a few measurements of meteorological or remote sensing data. Existing methods for spatial interpolation, such as variants of kriging and spatial autoregressive models, tend to suffer from at least one of the following limitations: (a) the assumption of stationarity, (b) the assumption of isotropy, and (c) the trade-off between modelling local or global spatial interaction…
Figures and Tables from this paper
figure 1.1 figure 4.1 figure 5.1 table 5.1 figure 5.2 table 6.1 figure 6.1 table 6.2 figure 6.2 table 6.3 table 8.1 figure 8.1 figure 8.10 figure 8.11 figure 8.12 figure 8.13 figure 8.14 figure 8.15 figure 8.16 figure 8.17 figure 8.18 figure 8.19 table 8.2 figure 8.2 figure 8.20 figure 8.21 figure 8.22 figure 8.23 figure 8.24 figure 8.25 figure 8.26 figure 8.27 figure 8.28 figure 8.29 table 8.3 figure 8.3 figure 8.30 figure 8.31 figure 8.32 figure 8.33 figure 8.34 figure 8.35 figure 8.36 figure 8.37 figure 8.38 figure 8.39 table 8.4 figure 8.4 figure 8.40 table 8.5 figure 8.5 table 8.6 figure 8.6 table 8.7 figure 8.7 table 8.8 figure 8.8 figure 8.9
References
SHOWING 1-10 OF 60 REFERENCES
Simultaneous autoregressive models for spatial extremes
- Mathematics, Environmental ScienceEnvironmetrics
- 2020
Motivated by the widespread use of large gridded data sets in the atmospheric sciences, we propose a new model for extremes of areal data that is inspired by the simultaneous autoregressive (SAR)…
Spatial autocorrelation and the selection of simultaneous autoregressive models
- Environmental Science
- 2007
Aim Spatial autocorrelation is a frequent phenomenon in ecological data and can affect estimates of model coefficients and inference from statistical models. Here, we test the performance of three…
A two-dimensional interpolation function for irregularly-spaced data
- Environmental ScienceACM National Conference
- 1968
In many fields using empirical areal data there arises a need for interpolating from irregularly-spaced data to produce a continuous surface, and it is extremely useful, if not essential, to define a continuous function fitting the given values exactly.
A Survey on Spatial Prediction Methods
- Computer ScienceIEEE Transactions on Knowledge and Data Engineering
- 2019
A taxonomy of methods categorized by the key challenge they address is provided, to help interdisciplinary domain scientists choose techniques to solve their problems and to help data mining researchers understand the main principles and methods in spatial prediction and identify future research opportunities.
An adaptive inverse-distance weighting spatial interpolation technique
- GeologyComput. Geosci.
- 2008
On the Performance of Neural Network Residual Kriging in Radio Environment Mapping
- Computer ScienceIEEE Access
- 2019
This paper addresses the research question: can feedforward neural network (FFNN)-based path loss modeling improve the accuracy of Kriging and shows that the FFNN is capable of improving Kriged in such a distributed network case.
Spatial transmission network construction of influenza-like illness using dynamic Bayesian network and vector-autoregressive moving average model
- MedicineBMC Infectious Diseases
- 2021
This study proposed a new framework for exploring the potentially stable spatio-temporal routes between different places and measuring specific the sizes of transmission effects, which could help making timely and reliable prediction of the spatio/temporal trend of infectious diseases.
Spatial prediction and ordinary kriging
- Psychology
- 1988
Suppose data {Z(s
i
):i=1, ..., n} are observed at spatial locations {s
i
:i=1, ..., n}. From these data, an unknownZ(s
0) is to be predicted at a known locations
0c, or, ifZ(s0) has a…
Gradient-enhanced kriging for high-dimensional problems
- Computer ScienceEngineering with Computers
- 2018
A new gradient-enhanced surrogate model approach that drastically reduces the number of hyperparameters through the use of the partial least squares method to maintain accuracy and control the size of the correlation matrix is developed.
Downscaling Satellite Precipitation Estimates With Multiple Linear Regression, Artificial Neural Networks, and Spline Interpolation Techniques
- Environmental ScienceJournal of Geophysical Research: Atmospheres
- 2019
Satellite precipitation estimates (SPEs) have been widely used in various applications. However, when applied to small basins and regions, the spatial resolution of SPEs is too coarse. In this study,…