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A comment on Neural network training makes beautiful fractals. Parent comment

Re:Neural network training makes beautiful fractals by magicalhippo on Tuesday February 13, 2024 @09:53AM (#39358125)
Searching I stumbled over this paper[1], which I found interesting, on characterizing the fractal-ness of geological structures.

They point out that the usual measure of fractal dimension, or capacity dimension[2], doesn't consider the physical size of the features and can thus be inaccurate. Instead they suggest using the information dimension[3], which is bounded by the capacity dimension.

[1]: https://doi.org/10.1016/j.chaos.2018.05.008 (full text available on that hub of science)

[2]: https://mathworld.wolfram.com/CapacityDimension.html

[3]: https://mathworld.wolfram.com/InformationDimension.html

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Re:Neural network training makes beautiful fractals by tudorw on Saturday February 17, 2024 @10:41PM (#39415964)
Seems there are a few more, Higuchi Dimension, Box Counting Dimension (D0), Generalized Rényi Dimension and others are discussed mid-way through this;

https://medium.com/@h.a.papageorgiou/the-reality-of-the-ruli...

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