Theory of Gaussian Process Regression for Machine Learning
About this course
The course walks through the core mathematics behind Gaussian process regression, covering kernels, covariance functions, and Bayesian inference. It then shows how to translate those concepts into working Python code using common libraries. By the end, you’ll be able to build GP models, tune their hyper‑parameters, and interpret the uncertainty estimates they provide for real‑world data.
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What you'll learn
- Explain the theoretical foundations of Gaussian process regression
- Identify and construct appropriate kernel and covariance functions
- Implement Gaussian process regression models in Python
- Tune hyper‑parameters and assess model uncertainty
Course objectives
- Derive GP regression equations from Bayesian principles
- Translate mathematical concepts into Python implementations
- Apply GP models to datasets from finance, engineering, or geostatistics
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