NFTM is a differentiable architecture with spatial read/write heads that claims Turing completeness and demonstrates learning local update rules for cellular automata, heat PDE, and CIFAR-10 inpainting.
On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines
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Neural Field Turing Machine: A Differentiable Spatial Computer
NFTM is a differentiable architecture with spatial read/write heads that claims Turing completeness and demonstrates learning local update rules for cellular automata, heat PDE, and CIFAR-10 inpainting.