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I am interested in one of the master's programs in Data Science. In the application process I need to submit an essay of 1,000 words about one of the following topics:

  1. Drawbacks of the probabilistic method
  2. A mathematical theory for Occam's razor
  3. What drives mathematics in the 21st century?

I have a background in numerical analysis and I do not have any idea about how I can tackle these topics. I would like if someone familiar with one of these topics to give me pieces of advice, resources, or how the essay must be structured so can start writing the essay.

I appreciate your help, thank you in advance.

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    $\begingroup$ Topic 2) For a mathematical theory of Occam's razor see for example Information Theory and Minimum Description Length as guiding principles in machine learning and statistics $\endgroup$
    – Nikos M.
    May 8, 2021 at 8:50
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    $\begingroup$ Topic 3) is somewhat opinion-based IMO although one would say Big data and AI are certainly on the rise. For Topic 1) I would need some clarification on what "probabilistic method" refers to $\endgroup$
    – Nikos M.
    May 8, 2021 at 8:52
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    $\begingroup$ Is topic 1) about this Probabilistic method? $\endgroup$
    – Nikos M.
    May 8, 2021 at 8:54
  • $\begingroup$ Thank you for these insights. I’m not sure what they mean by “the probabilistic method” exactly. It is what is explained in the website you provided or what I have read in this post < datascience.stackexchange.com/q/18000/117314> (bayesian networks, latent dirichlet … allocation, naive bayes model, probabilistic matrix factorization models) $\endgroup$ May 8, 2021 at 10:27
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    $\begingroup$ IMO = In My Opinion, IMHO = In My Humble Opinion $\endgroup$
    – Nikos M.
    May 9, 2021 at 8:37

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