3 ms·

Hey! Author here. Really appreciate the kind words. If you have any feedback on what I can do to improve the explanation further, I’d love to hear it. Also, i

by dhruvp 8y ago

Hey! Author here. Really appreciate the kind words. If you have any feedback on what I can do to improve the explanation further, I’d love to hear it. Also, if you’re interested, I’ve written some other posts on explaining concepts in Math and ML following a similar approach: 1. Brief History of CNN based Image Segmentation: https://blog.athelas.com/a-brief-history-of-cnns-in-image-segmentation-from-r-cnn-to-mask-r-cnn-34ea83205de4 https://blog.athelas.com/a-brief-history-of-cnns-in-image-se... 2. Understanding Baidu’s Deep Voice for voice synthesis: https://blog.athelas.com/paper-1-baidus-deep-voice-675a323705df https://blog.athelas.com/paper-1-baidus-deep-voice-675a32370... 3. An intuitive explanation of matrices as linear maps: https://dhruvp.netlify.com/2018/12/31/matrices/ https://dhruvp.netlify.com/2018/12/31/matrices/

throwawaymath 8y ago
Your exposition is very good. If I could make one pedagogical recommendation, it would be that you give a gentle introduction to linear dependence and independence. You don't need this to treat the subject in the geometric fashion you're using (it's implicit in talking about calculating lines on the Euclidean plane). But if you explain it well it's a very powerful didactic mechanic for your audience, because then they can generalize the reason why {(1, 0), (-1, 0)} is not a basis of R^2 to arbitrary dimensions n. It also leads you into the neat result that any linearly independent subset S of a vector space V whose cardinality matches the dimension of V is a basis. That being said, I know all too well what happens to good exposition when you try to shove too much into it. So feel free to ignore this; you write well and I think you accomplish the goal of presenting the material in an intuitive way.

3 ms·

Hey! Author here. Really appreciate the kind words. If you have any feedback on what I can do to improve the explanation further, I’d love to hear it. Also, i

by dhruvp 8y ago

throwawaymath 8y ago
Your exposition is very good. If I could make one pedagogical recommendation, it would be that you give a gentle introduction to linear dependence and independence. You don't need this to treat the subject in the geometric fashion you're using (it's implicit in talking about calculating lines on the Euclidean plane). But if you explain it well it's a very powerful didactic mechanic for your audience, because then they can generalize the reason why {(1, 0), (-1, 0)} is not a basis of R^2 to arbitrary dimensions n. It also leads you into the neat result that any linearly independent subset S of a vector space V whose cardinality matches the dimension of V is a basis. That being said, I know all too well what happens to good exposition when you try to shove too much into it. So feel free to ignore this; you write well and I think you accomplish the goal of presenting the material in an intuitive way.