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I have done the deeplearning.ai course on deep learning. But I cannot Understand equations like

minGmaxDV(D,G)=Ex∼pdata(x)[logD(x)]+Ez∼pz(z)[log(1−D(G(z)))]

What kind of Maths am I am supposed to learn? I know Calculus basic Multivariable Calculus and Linear Algebra. So should I learn Probability (Advance probability maybe)?

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  • $\begingroup$ it would help if you could tell us which part you don't understand $\endgroup$ – oW_ Jul 14 at 22:23
  • $\begingroup$ I should you should instead focus on learning the notations rather than concepts. $\endgroup$ – Shubham Panchal Jul 15 at 0:03
  • $\begingroup$ I am confused about Expectation values? $\endgroup$ – harshtiwari Jul 15 at 8:19
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Mathematical expectations are a concept from probability theory. Expressions like $E_x[...]$ denote conditional expectations and I think you will have trouble understanding Machine Learning concepts without understanding conditional expectations. (Understanding them as a mathematical concept, not on an intuitive level).

My recommendation is that you look for a beginner's course in probability theory to get a grasp of the following concepts:

  • Random variables
  • Probability distributions
  • Stochastic independence
  • Mathematical expectation
  • Conditional expectation/conditional probability
  • Law of total probability
  • Bayes' theorem

There are probably courses designed specifically for people interested in Machine Learning. Have fun!

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As Elias mentioned, the expectations are related to random variables and you would be good to go if you know about conditional probability, multivariate probability, joint and marginal distributions. I would suggest you take a course that has a syllabus on the lines of https://secure.oregonstate.edu/ap/cps/documents/view/134169.

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    $\begingroup$ +1 on multivariate probability, joint distributions and marginal distributions! $\endgroup$ – Elias Strehle Jul 16 at 16:39

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