Release announcement draft about complexitymeasures.jl HOT 12 CLOSED

One can add a new type of probabilities estimator by extending a couple of simple functions (see dev docs) they immediately gain access to a plethora of functions for the corresponding entropies to the missing dispersion patterns complexity measure.

I'm not sure what the message in this last sentence is. I think there's a few words missing. I think what we want to say is

• New probabilities estimators can be added by extending a couple of simple functions (see dev docs).
• By extending these functions, one immediately gains access to a bunch of other functions for computing discrete entropies and complexity measures (e.g. missing dispersion patterns).

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At the end of the listing of the number of available measures, I think we also should also mention that there's more functionality in progress, like the multiscale API, which will give access to multiscale variants of all the discrete measures, some of which have been explored in the literature, and most of them not

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@kahaaga in this post we should add the "total number of measures"

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Sorry for the late reply. This already looks good! However, I'll post some comments on this tomorrow and provide a count of number of available methods before we publish the release announcement.

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@kahaaga I think I'll release DynamicalSystems.jl v3 on Sunday or Monday, and I think it makes conceptual sense to announce this package first before the v3, because I intend to link this to the v3 release. If you can you may post some simple comments here, otherwise we can update the release later on.

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The above are discrete entropies. If these are not your cup of tea, the package also has a generic interface for computing differential entropies.

I think this statement can be reduced to "The package also has a generic interface for computing differential entropies".

Each probability (defined by a "ProbabilityEstimator")

This should be ProbabilitiesEstimator.

... a count of number of available methods before we publish the release announcement.

With a manual count, I get:

• 13 ProbabilitiesEstimators.
• 6 EntropyDefinitions.
• 7 DifferentialEntropyEstimators that handle multivariate input data
• 4 DifferentialEntropyEstimators for univariate input data.

In summary:

• 78 (136) ways of estimating discrete entropies of various kinds. 65 (135) of these can be normalized. In total: 143 different quantifiers of discrete entropy.
• 11 ways of estimating differential Shannon entropy.
• 4 different complexity measure (e.g. sample entropy or approximate entropy).
• If counting everything above, there are 158 different complexity measures.

This number would be even higher if counting multiscale variations of these measures. But what has happened to the multiscale API, @Datseris? I can't find it in the most recent documentation. Is this intentional, or has it just slipped out when restructuring? I though we agreed to keep the multiscale API as is, but internally transition to a separate package for coarse-graining/sliding-window stuff later.

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Ah, I see that you added a comment in the source code about the multiscale stuff not being part of the public API yet. Then we must have discussed this at length. We should probably resolve this before finalizing the paper on the software.

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Hi @kahaaga !

78 (136) ways of estimating discrete ...

What does the number in the parenthesis means?

But what has happened to the multiscale API, @Datseris?

Yeah, just give me one and a half weeks! By that time I promise I will have initialized the "WindowedViewer.jl" package that offers functionality for viewing offer various kinds of views of some timeseries. I'm a bit overwhelmed right now with finishing DynamicalSystems.jl v3.0 and also preparing for giving a workshop for it at the MPI Evol. Biology. After I am done with that, (3rd of March) than I'll come back at the multiscale stuff.

For now, let's keep the numbers without the multiscale, it's okay. For the paper of course we will have the multiscale in!

I've added all your other comments into the post; as soon as you give the ok I'll post it on Discourse!

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Yeah, just give me one and a half weeks!
For now, let's keep the numbers without the multiscale, it's okay. For the paper of course we will have the multiscale in!

No worries! No need to rush this. I am also swamped until around the 10th of March, so I won't have any time to deal with this until then.

What does the number in the parenthesis means?

My bad! I don't know what happened to the formatting. It should be 78 (13 estimators * 6 entropy definitions) for the non-normalized discrete entropies, and 65 (13 estimators * 5 entropy definitions for which entropy_maximum is defined) for the normalized discrete entropies.

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I've added all your other comments into the post; as soon as you give the ok I'll post it on Discourse!

When you've added the numbers in my previous comment, feel free to post. I also just created a Discourse user (the same username as I have here), so feel free to tag me there too!

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Thanks. Can I ask a favor BTW? can you please update your github profile with a picture and your affiliation? EDIT: just a picture, affiliation is there.

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Thanks. Can I ask a favor BTW? can you please update your github profile with a picture and your affiliation? EDIT: just a picture, affiliation is there.

Sure! Just give me a few minutes.

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