Fuzzy Spectral Region Decomposition Automates Koopman Operator Learning
A revised arXiv preprint introduces fSRD, a method that builds Koopman operator representations for highly nonlinear chaotic dynamical systems without manual operator selection. The approach decomposes spectral regions with fuzzy boundaries and adapts its architecture during training to balance complexity, expressiveness, and data efficiency. It targets the difficulty of modeling chaotic dynamics where conventional machine learning trades off accuracy against data needs.