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Devan Shah

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Preprint Aug 2026

Spectral Distillation: From Nonlinear Dynamics to Linear State-Space Models

This work first learns an implicit spectral predictor using Observation Spectral Filtering using Observation Spectral Filtering, a convex method that competes with the best linear observer for the system, and applies spectral-to-LDS distillation to convert this predictor into an explicit recurrent linear dynamical system.

Liane Galanti, Devan Shah, Shlomo Fortgang et al. · 0 citations