English

Differentiable cellular automata

Discrete Mathematics 2017-09-01 v1 Cellular Automata and Lattice Gases

Abstract

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.

Keywords

Cite

@article{arxiv.1708.09546,
  title  = {Differentiable cellular automata},
  author = {Carlos Martin},
  journal= {arXiv preprint arXiv:1708.09546},
  year   = {2017}
}
R2 v1 2026-06-22T21:28:40.512Z