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We describe a class of cellular automata (CAs) that are end-to-end differentiable. DCAs interpolate the behavior of ordinary CAs through rules that act on distributions of states. The gradient of a DCA with respect to its parameters can be computed with an iterative propagation scheme that uses previously-computed gradients and values. Gradient-based optimization over DCAs could be used to find ordinary CAs with desired properties.
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Cellular Automata and Lattice Gases (nlin.CG), FOS: Physical sciences, Nonlinear Sciences - Cellular Automata and Lattice Gases, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Cellular Automata and Lattice Gases (nlin.CG), FOS: Physical sciences, Nonlinear Sciences - Cellular Automata and Lattice Gases, Computer Science - Discrete Mathematics
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