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Ask ML: Next step after Andrews Ng's course

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I recently finished Andrew Ng's course on machine learning offered at cousera. Im blown away with the applications of ML and I want to learn more. What should my next step be in continuing to learn about this area? Im able to find tons of information but honestly do not know where to start. My end goal is education, I would LOVE to be able to build something neat out of this (planning on doing linear regression and a classification ML application)

Secondary Question (if anyone has the time to answer!): Ive also started doing work in cleaning some data I collected (I'm feeling that cleaning and gathering data is about 90% of the fight so far) and I'm running into issues with my computer not being fast/strong enough to handle the volume of data Im trying to make use of. Its slow to do operations such as shuffling a matrix (15mill x 14). Would anyone have a solution to this? Should I perhaps leverage AWS?

I have a strong calculus and linear algebra background.

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