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tent

cmlnn

Learning to use spatiotemporal chaos

Basic idea

Coupled map lattices (CMLs) exhibit robust nonlinear functional capacity with few parameters. As such they might prove a useful computational tool for deep neural networks. Currently this is just a first-pass notebook.

Errata

  • This is in Keras but must move to PyTorch:
    • I need layerwise learning rates so that dynamics can be learned slower than initialization, which Keras doesn't yet support
  • Learning requires a slight modification of CML update:
    • the lattice boundaries must update independently instead of referencing neighbors.
      • visually, dynamics seem unaffected by this, but should validate further