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It's true that Markov chains are very limited in their capabilities. But one thing I love about them is that they are one of the simplest and intuitive ways to write code that *learns* from input data.
If you're never written something the *learns*, try it out! Here's a very primitive one I wrote recently to explain the basic idea and explains it along the way.
https://github.com/unoti/markov-basics/blob/main/markov-basi...
Predicting subsequent text is pretty much exactly what they do. Lots of very cool engineering that’s a real feat, but at its core it’s argmax(P(token|token,corpus)):
https://github.com/facebookresearch/llama/blob/main/llama/ge...
The engineering feats are up there with anything, but it’s a next token predictor.
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