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Bayesian Gaussian Process Modeling for Uncertain Spatial Coordinates Using PyMC

By

ckrapu

7d ago· 10 min readen

Summary

This article discusses the use of Bayesian spatial probability models, specifically Gaussian processes (GPs), for handling data with uncertain or unknown spatial coordinates. It uses the mining industry as a motivating example, where prospectors take geologic samples to detect mineral resources, but often lack precise location data for those samples. The article explains how PyMC can be used to implement Gaussian process models that account for uncertainty in spatial coordinates, allowing for more robust inference when coordinate data is missing or imprecise.

Key quotes

· 3 pulled
An especially strong motivating case for the usage of spatial probability models comes from the mining industry.
These data typically show strong spatial correlation, but constructing a fully-detailed geophysical model is at times infeasible as we are able to observe very little of the underground conditions.
The advent of remote sensing techniques like ground-penetrating radar and gravimetry has dramatically improved our ability to infer subsurface structures.
Snippet from the RSS feed
A PyMC Gaussian process example with uncertain spatial coordinates

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