I’m motivated to point all this out because I think the importance of math prerequisites is a bit overemphasized and might be keeping a lot of otherwise talented people from giving the fields a try.
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Replying to @citnaj
Linear algebra and calculus an important pre requisite in your opinion? Or do you reckon you can get pretty far just by applying and building upon code in the wild.
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Replying to @pastaduck
1/ I don’t think either are required and agree with
@fastdotai that algebra suffices. The core concepts from linear algebra and calculus that are most useful to know are very easy to get the basic gist on quickly (derivatives and matrix multiplication).1 reply 0 retweets 1 like -
2/ My personal approach to figuring stuff out really boils down to a combination of leaning heavily on experimentation, holding all ideas of how things as temporary and subject to change, sprinkle in cross pollination from other domains/papers, and good old fashioned problem
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Hmm, I'd say a solid understanding of linear algebra and calculus are required; it saves time in the long run to be able to identify what math is decoration and what is essential. Having access to lower level building blocks also allows for faster understanding, recall.
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Replying to @sir_deenicus @citnaj and
The risk of taking a code heavy approach, and I see this a lot, is you end up thinking in terms of frameworks instead of concepts. For example, rather than decomposing tasks in terms of Pytorch functions, or worse/higher--BERT--you ask, what is self-attention really doing?
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Dont disagree, but for me some of that stuff would scare me away. Better to hit the glass ceiling first then return to bare bones once that happens. The question is more how quickly will that happen or what can you achieve / build without it.
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I think you're completely correct and I don't think front-loading on prerequisites works. But I do think it's necessary to approach it as wanting to understand the math in order that necessary connections become more likely to take hold. In the long run you save on effort
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Replying to @sir_deenicus @pastaduck and
by noticing what are just variations of a core concept. Math being hard is an artifact of notation optimized for handwriting, being invented by geniuses & assumption the learner has access to an expert guide around. Often the actual concepts are simple, e.g. one day I realized
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Replying to @sir_deenicus @pastaduck and
wait a minute, a tensor product's just a nested for loop. A matrix a book-keeping tool, summation is a partially applied function etc; or, sure you can write a hessian but you can also think of accessing paths of repeated differentiation like "xy" (wrt x then y) from a dictionary
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Great insights! I’d think this all should be a bit more apparent than it is but is obscured with the notations and conventions.
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