cleaning up
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@@ -136,7 +136,7 @@ where we have defined the mean value of $\hat{y}$ as
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Your code has to include a scaling of the data (for example by
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subtracting the mean value), and
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a split of the data in training and test data. For this part you can
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a split of the data in training and test data. For this exercise you can
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either write your own code or use for example the function for
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splitting training data provided by the library _Scikit-Learn_ (make
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sure you have installed it). This function is called
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@@ -246,7 +246,7 @@ one provided by _Scikit-Learn_.
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Write your own code for the Ridge method, either using matrix
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inversion or the singular value decomposition as done in the previous
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exercise. Perform the same bootstrap analysis as in the
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Exercise 2 (for the same polynomials) and the cross-validation part in part c) but now for different values of $\lambda$. Compare and
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Exercise 2 (for the same polynomials) and the cross-validation in exercise 3 but now for different values of $\lambda$. Compare and
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analyze your results with those obtained in exercises 1-3. Study the
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dependence on $\lambda$.
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@@ -266,11 +266,13 @@ model fits the data best. Perform here as well an analysis of the bias-variance
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With our codes functioning and having been tested properly on a
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simpler function we are now ready to look at real data. We will
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essentially repeat in part g) what was done in parts a-e). However, we
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essentially repeat in this exercise what was done in exercises 1-5. However, we
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need first to download the data and prepare properly the inputs to our
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codes. We are going to download digital terrain data from the website
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URL:"https://earthexplorer.usgs.gov/",
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Or, if you prefer, we have placed selected datafiles at URL:"https://github.com/CompPhysics/MachineLearning/tree/master/doc/Projects/2021/Project1/DataFiles"
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In order to obtain data for a specific region, you need to register as
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a user (free) at this website and then decide upon which area you want
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to fetch the digital terrain data from. In order to be able to read
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