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couplingsmontecarlo's Introduction

couplingsmontecarlo

...some scripts for the couplings enthusiasts!

Corresponds to the course available at: https://sites.google.com/site/pierrejacob/cmclectures

Warning: this is very very drafty, and I am actively working on it. Thus please don't waste your energy fixing/improving the code right now, I might not accept your pull requests.

couplingsmontecarlo's People

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couplingsmontecarlo's Issues

Definition of irreducibility

Hi,

In your phi-irreducibility informal definition (Ch3 p 3) it seems to me like you are missing the condition phi(A) > 0 (at least if you are using the same def as in Douc et al textbook (Ch9, p195), but I could be wrong.

Adrien

Gibbs sampling index unused

Hello,

Small typo here, but in your description of Gibbs sampling, you introduce an index I (upper case i) p12 which happens to not be used (or rather to be used as a lower case i in the next algorithm step).

Adrien

Representation of Wasserstein distance in terms of CDF

Hello,

Thanks a lot for making these notes available, I'm only at Chapter 2 already am learning a lot from them!
I noticed a mistake in your description of W_k^k in terms of the difference of CDFs Ch2 p18, which is only true for k=1, otherwise this needs to be the kth-power of the difference between the quantile functions. You can for example see Remark 2.30 in Cuturi and Peyré Computational Optimal Transport book.

Adrien

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