"Is it reasonable for someone to dive into machine learning with a shallow knowledge of math?"
โซ๏ธ The short answer is "yes."
โซ๏ธ The more nuanced answer is "it depends."
Let me try and unpack this question for you.
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You can think about machine learning as a spectrum that goes all the way from pure research to engineering.
The more you move towards a research position, the more you can benefit from your math knowledge. If you move in the other direction, you'll get away with less of it.
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I have friends that got a Ph.D. and became college professors.
For them, math is an absolute requirement!
Not only are they working on research projects, but they are teaching the next generation of scientists and engineers.