1️⃣ If you struggle to understand determinants, stop what you are doing and check out this video by @3blue1brown, it will make your brain explode.

2⃣ Sometimes, it is hard to figure out what a concept represents by looking at how it is calculated. The determinant of a matrix is calculated by a sum, iterating through all permutations of a row.
3⃣ However, this definition doesn't reveal anything about what the determinant means. In fact, it is quite simple: it describes how the volume scales under the corresponding linear transformation.
4⃣ What was the concept which you struggled to understand until you were able to look at it from a different perspective and it suddenly became clear?

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More from @TivadarDanka

28 Oct
Neural networks are getting HUGE. In their @stateofaireport 2020, @NathanBenaich and @soundboy visualized how the number of parameters grew for breakthrough architectures. The result below is staggering.

What can you do to compress neural networks?

👇A thread.
1⃣ Neural network pruning: iteratively removing connections after training. Turns out that in some cases, 90%+ of the weights can be removed without noticeable performance loss.
A few selected milestone papers:
📰Optimal Brain Damage by @ylecun, John S. Denker, and @SaraASolla. As far as I know, this was the one where the idea was introduced.

papers.nips.cc/paper/250-opti…
Read 12 tweets

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