English

Two-shot learning of multiple strange attractors

Chaotic Dynamics 2026-01-30 v1

Abstract

The brain combines short- and long-term memory to process, store, and recall multiple different pieces of information. Inspired by this and recent results on multifunctional and parameter-aware learning, we extend a new machine learning technique that combines short- and long-term memory units, specifically, a system consisting of a next-generation reservoir computer (NGRC) and extremely randomized trees (ERT), to process, store, and recall multiple different strange attractors. We train the combined NGRC+ERT system using a two-shot learning approach which significantly improves performance by filtering out unnecessary features, thereby avoiding extensive hyperparameter optimization. We first show that an NGRC+ERT system achieves highly accurate reconstruction of the short- and long-term dynamics of both the Lorenz and Halvorsen chaotic attractors when using an exponential filtering scheme. We validate these finding by training the NGRC+ERT system to reconstruct different pairs of attractors and also a greater number of attractors. We focus on the task of training a single NGRC+ERT system to reconstruct 16 different attractors and show that sufficient index-based separation in feature space suppresses unwanted switching dynamics, thus stabilizing long-term memory recall. Finally, we identify that defects in short-term memory processing can provoke failure modes in long-term memory recall resulting in confabulation.

Keywords

Cite

@article{arxiv.2601.21117,
  title  = {Two-shot learning of multiple strange attractors},
  author = {Daniel Köglmayr and Miralem Spahic and Andrew Flynn and Christoph Räth},
  journal= {arXiv preprint arXiv:2601.21117},
  year   = {2026}
}
R2 v1 2026-07-01T09:24:47.609Z