DelayEmbeddings.jl
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JuliaDynamics
Delay coordinates embeddings and optimizing them
In the traditional embedding scheme where one calculates independently delay time and embedding dimension, there is another method to compute optical delay time, besides automutual information minima. This is the...
Recent paper titled [Selecting embedding delays: An overview of embedding techniques and a new method using persistent homology](https://pubs.aip.org/aip/cha/article/33/3/032101/2881154/Selecting-embedding-delays-An-overview-of?searchresult=1), with abstract: > Delay embedding methods are a staple tool in the...
One of the things the [Good Scientific Code Workshop](https://github.com/JuliaDynamics/GoodScientificCodeWorkshop) teaches is writing good unit tests. I have to admit, this repository suffers **tremendously** from really bad tests when it comes...
We have established the validity of our unified embedding methods because we even wrote a paper utilizing them in detail and comparing them with each other. There isn't any doubt...
I'm reading again the Nonlinear Time Series Analysis textbook by Kantz & Schreiber. In section 6.5 they describe a rather straightforward method for estimating a good value of the Theiler...
DynamicalSystemsBase.jl depends on DelayEmbeddings.jl. However DelayEmbeddings.jl uses DynamicalSystemsBase.jl in its test suite. That creates problems when updating major versions (in fact it makes them impossible on paper). The only way...
Hey all, take a look [here](https://github.com/hkraemer/PECUZAL_Matlab/pull/2#issue-974391197). This seems to be valid. The correction also follows from Eqs. (17), (18) & (20) in the [original publication](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.84.016223). Thanks to @JayeshMD , who...
The function `lag = estimate_delay(tr, "exp_decay", 0:100)` can throw an error of the type `ERROR: The correlation function has elements that are ≤ 0. We can't fit an exponential to...
Yet another technique for optimal embedding, based on a very recent, just out of the oven, paper: https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&ved=2ahUKEwiu8MaP5NrwAhXS2aQKHfIlBZ4QFjAAegQIBRAD&url=https%3A%2F%2Fwww.mdpi.com%2F1099-4300%2F23%2F2%2F221%2Fpdf&usg=AOvVaw2dogcAC-Stuu-46rVORutH 
The function `all_neighbors` returns pointless indices and according nearest neighbor values of `-Inf`, when the Theiler window and the length of the dataset do not allow an approariate declaration of...
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Delay coordinates embeddings and optimizing them