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beautifulalgorithms.jl's Issues

Additional methods for solving Dynamic Programming problems

Hi and thank you for this package.
The algorithms are indeed very beautiful!

I find your value_iteration.jl especially useful.
Is there a chance you can include some other common algorithms for solving dynamic programming problems?
A recent paper provides 7 common algorithms to solve a routine dynamic programming problem:

image
(the AR process will be discretized into a discrete state Markov Chain)

Optimality conditions:
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7 standard methods:
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Missing license

What is the license for this code?

If you want people to be able to copy/paste this into projects, I would recommend putting the code in the public domain. Without a license, it cannot be used at all.

EM

The implementation of the EM algorithm for GMMs is incorrect as it mixes univariate data x and multivariate component pdfs. Moreover, the calculations should be done in the log space and not in the space of probabilities for numerical reasons.

I believe the double sum in the E step should also be simplified to a single for loop.

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