Show HN: Markov Models and Dynamical Systems – Software and Book
Mood
informative
Sentiment
positive
Category
research
Key topics
Markov Models
Dynamical Systems
State-Space Models
EM Algorithm
NixOS
There are three things to show:
1. A pdf of the draft: https://www.fraserphysics.com/book.pdf
2. The hmm project which provides code for state-space models: https://gitlab.com/fraserphysics/hmm with documentation at https://fraserphysics.gitlab.io/hmm/
3. The hmmds project which provides code for using state-space models to address some examples: https://gitlab.com/fraserphysics/hmmds with doumentation at https://fraserphysics.gitlab.io/hmmds/ The default target for hmmds is to build the book. On my home system it takes about 10 hours to build the book.
I would be grateful for comments or suggestions on any aspect of any of the three things.
I am particularly interested in help with the following:
1. I use NixOS for developing. I've documented progress on making the code useful in other enviroments at https://fraserphysics.gitlab.io/hmmds/getting_started.html Please let me know if you are able to use the code elsewhere.
2. In the draft of the book, I have an analysis of the convergence properties of the EM algorithm spread between Section 2.5 "The EM algorithm" on page 43 and Appendix B "EM Convergence Rate" on page 137. The analysis is different from anything I've seen published. I would like feedback with corrections and or citations.
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