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some minor fixes in slides, cites
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parulvijay committed Jul 21, 2024
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6 changes: 4 additions & 2 deletions GP.qmd
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. . .

- A Gaussian Process model is a non paramteric and flexible regression model
- A Gaussian Process model is a non paramteric and flexible regression model.

- It started being used in the field of spatial statistics, where it is called *kriging*.

- It is also widely used in the field of machine learning since it makes fast predictions and gives good uncertainty quantification commonly used as a **surrogate model**. [@gramacy2020surrogates]
- It is also widely used in the field of machine learning since it makes fast predictions and gives good uncertainty quantification commonly used as a **surrogate model**. [@gramacy2020surrogates]

## Uses and Benefits

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- Fit a GP to the Data
- Make Predictions on a testing set
- Check how predictions perform.

## References
2 changes: 1 addition & 1 deletion GP_Notes.qmd
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Instead of one nugget for the GP, we have a **vector of nuggets** i.e. a unique nugget for each unique input. This allows us to obtain tighter bounds as we can have a large nugget where we have less data/ more noise and a smaller nugget where we have more data and/or less noise.

We can fit a hetGP using the`hetGP` package on CRAN very similar to that as a regular GP, also called homoskedastic GP.
We can fit a hetGP using the`hetGP` [@binois2021hetgp] package on CRAN very similar to that as a regular GP, also called homoskedastic GP.
2 changes: 1 addition & 1 deletion GP_Practical.qmd
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# Basics: Fitting a GP Model

Remember the function we looked at before:
Here's our function from before:
$$Y(x) = 5 \ \sin(x)$$
Now, let's learn how we actually use the library `laGP` to fit a GP and make predictions at new locations. Let's begin by loading some libraries

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