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GokuMohandas avatar GokuMohandas commented on May 1, 2024

hey @gitgithan ,

So I could have represented b_unscaled this way:

  • W_unscaled = W * (y_std/X_std)
  • b_unscaled = b * y_std + y_mean - np.sum(W * (y_std/X_std) * X_mean)

But because the expression W * (y_std/X_std) = W_unscaled, I just substituted it into the b_unscaled equation.

  • b_unscaled = b * y_std + y_mean - np.sum(W_unscaled*X_mean)

And hmm good point, the summation notation doesn't belong here if we're trying to find the value of each W_j so it should be removed. Which now matches with the way we write in code for this scenario.

Hope you're enjoying the lessons @gitgithan and definitely keep the feedback coming! I'll incorporate these changes when I have some time later this month.

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gitgithan avatar gitgithan commented on May 1, 2024

Ah sorry i was careless, didn't see that substitution because my 1st reaction was why doesn't the code look like the math latex.
What about smaller feedback (eg. typos?) I must have seen quite a few up to this point but thought you may not want to bother.

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GokuMohandas avatar GokuMohandas commented on May 1, 2024

yeah I'm planning to clean all of this up and adding a lot more when I have some time this winter break. Definitely let me know if there are major conceptual mistakes but typos will be fixed later this year.

Also let me know if something doesn't make sense because it helps make the content clearer for others. For example, I'll be adding one more step before the substitution so it becomes clearer in the scenario above.

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