A single neural cellular automaton rule, conditioned on a learnable hardware state, performs matrix multiplication, translation, rotation, and a block-decomposed MNIST classification.
Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife
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We present what we argue is the generic generalization of Conway's "Game of Life" to a continuous domain. We describe the theoretical model and the explicit implementation on a computer.
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A Path to Universal Neural Cellular Automata
A single neural cellular automaton rule, conditioned on a learnable hardware state, performs matrix multiplication, translation, rotation, and a block-decomposed MNIST classification.