AINeutralarXiv – CS AI · 9h ago6/10
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Spectral Filtering for Complex Linear Dynamical Systems
Researchers introduce a spectral filtering method for learning complex-valued linear dynamical systems with sector-bounded spectrum, achieving dimension-free regret bounds for sequence prediction. The approach uses Slepian basis functions and demonstrates that learning efficiency depends on an effective dimension independent of state space size, with applications to signal processing and quantum systems.