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mml-book / mml-book.github.io

Companion webpage to the book "Mathematics For Machine Learning"
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possible mistake on inverse transform(page 218) #586

Open qq3266452048 opened 4 years ago

qq3266452048 commented 4 years ago

Describe the mistake A clear and concise description of what the mistake is. the upper limit is wrong in page 219 in the chapter of inverse transform Location Please provide the

  1. version (bottom of page) draft 2020 -4 -14 (i have checked the latest version when i wrote this and it hasn't changed yet)
  2. Chapter 6.7.2 (change of variables)
  3. page 218
  4. line number/equation number equation 6.141

Proposed solution A clear and concise description of what you would like to change. the upper limit of integral in equation 6.141 may be wrong, it should be y instead of U^(-1), otherwise the derivative of the right hand is not the result you got. Additional context Add any other context about the problem here.

agezerlis commented 4 years ago

Note that the lower limit of integration is also wrong here: when x has the value a, y has the value U(a).

(BTW, it's suboptimal to use y for both the dummy integration variable and the integration limit.)

qq3266452048 commented 4 years ago

u

now it makes sense to me why they haven't corrected it. it's almost impossible to understand the math you've talked about 3 months ago. Even I don't know what the hell it is, It's too painful to revisit the problem