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It seems like reinforcement learning would be useful, i.e. at a high level, forming a policy for recommendations would require balancing exploration (experimenting with more risky …

Apostol's calculus texts were my first experience with 'real' proof-based mathematics, and I also learned real analysis through his Mathematical Analysis book. Good times; his book…

On the probability side, I thought Ash's "Probability & Measure Theory" was good for self-study, although some experience with real analysis is definitely a prerequisite. It can be…

I like the observation about the importance of concentration. In addition to reading, I've noticed that studying mathematics is an opportunity to practice (or build) the ability to…

That makes sense, thanks

Agreed, I was just curious since some of the comments below seemed to imply that PhDs / PostDocs lack certain software development skills (although I personally haven't seen this).…

Does this also apply to large industrial labs, e.g. MSR, IBM Research, Google research etc.? Or are there software developers who work together with researchers in those places, pe…