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The STK is a (not so) Small Toolbox for Kriging. Its primary focus in on the interpolation / regression technique known as kriging, which is very closely related to Splines and Radial Basis Functions, and can be interpreted as a non-parametric Bayesian method using a Gaussian Process (GP) prior. The STK also provides tools for the sequential and non-sequential design of experiments.
Surrogate modeling and optimization for scientific machine learning
A surrogate model is an approximation method that mimics the behavior of a computationally expensive simulation. In more mathematical terms: suppose we are attempting to optimize a function f(p), but each calculation of f is very expensive. It may be the case we need to solve a PDE for each point or use advanced numerical linear algebra machinery, which is usually costly. The idea is then to develop a surrogate model g which approximates f by training on previous data collected from...
An extensible framework for geospatial data science
...Users can represent georeferenced tables (points + attributes), define domains (grids, meshes, structured/unstructured), and then apply geostatistical operations such as kriging, interpolation, simulation, variogram estimation, and learning-based prediction. Visualization is supported via integration with Makie.jl to produce spatial renderings, mesh visualizations, and variable overlays.
SAGA - System for Automated Geoscientific Analyses - is a Geographic Information System (GIS) software with immense capabilities for geodata processing and analysis. SAGA is programmed in the object oriented C++ language and supports the implementation of new functions with a very effective Application Programming Interface (API). Functions are organised as modules in framework independent Module Libraries and can be accessed via SAGA’s Graphical User Interface (GUI) or various scripting...
An R package 'autoFRK' performs fixed rank kriging for (irregularly located) spatial data using a class of basis functions with multi-resolution features and ordered in terms of their resolutions. The model parameters are estimated by maximum likelihood (ML) and the number of basis functions is determined by Akaike's information criterion (AIC). For spatial data with either one realization or independent replicates, the ML estimates and AIC are efficiently computed using their closed-form expressions when no missing value occurs. ...
jk3d is a java code for 3d interpolation of scattered data. jk3d uses a quality weighted ordinary Kriging method and optional an inverse distances weighting method. It has no graphical user interface and uses ASCII files to define the input.
GsTL is a C++ library that provides a comprehensive set of tools and algorithms for geostatistics. The algorithms provided include kriging, cokriging, sequential simulation and p-field simulation.