"Recombinant dynamical systems" pre-print posted

This is an idea and a small but curious result that I've been sitting on for a very long time. Finally got around to sharing it. It the simplest possible model I could come up with for experience-based problem solving and how it might be implemented by a connectionist dynamical system. - Saul

https://arxiv.org/abs/2505.13409

Recombinant dynamical systems

We describe a connectionist model that attempts to capture a notion of experience-based problem solving or task learning, whereby solutions to newly encountered problems are composed from remembered solutions to prior problems. We apply this model to the computational problem of efficient sequence generation, a problem for which there is no obvious gradient descent procedure, and for which not all posable problem instances are solvable. Empirical tests show promising evidence of utility.

https://arxiv.org/abs/2505.13409