Fascinating. Thanks for sharing! Sometime back I had run into a related experiment where the author setup a simple 1 layer NN with a shift-register feedback and explored the state space of neuron activations over large iterations. The observation was beautiful in that the state space maps traced out attractors. See here if you are curious - https://towardsdatascience.com/attractors-in-neural-network-...
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grues-dinner
I see Hénon and I think of Tarbell, and yep, there it is.
Fractals are due a resurgence, as I recall the Internet used to be about 5% fractals by volume.
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HarHarVeryFunny
Are there any useful generalizations of how complex attractors like this typically work? Some systems will have multiple attractors - stable points of the system's dynamics, but what about features/regions of a complex attractor like this - e.g. the circular regions looking like Jupiter's red spot - are they typically/ever sub-attractors in their own right (enter once and never exit)?
cs702
Beautiful.
I always find it a bit shocking that there is so much structure in the states of chaotic systems as they evolve over time.
Fascinating. Thanks for sharing! Sometime back I had run into a related experiment where the author setup a simple 1 layer NN with a shift-register feedback and explored the state space of neuron activations over large iterations. The observation was beautiful in that the state space maps traced out attractors. See here if you are curious - https://towardsdatascience.com/attractors-in-neural-network-...
I see Hénon and I think of Tarbell, and yep, there it is.
Fractals are due a resurgence, as I recall the Internet used to be about 5% fractals by volume.
Are there any useful generalizations of how complex attractors like this typically work? Some systems will have multiple attractors - stable points of the system's dynamics, but what about features/regions of a complex attractor like this - e.g. the circular regions looking like Jupiter's red spot - are they typically/ever sub-attractors in their own right (enter once and never exit)?
Beautiful.
I always find it a bit shocking that there is so much structure in the states of chaotic systems as they evolve over time.
Thank you for sharing this on HN.