An n-dimensional hybrid system embeds into a continuous vector field in m > 2n dimensions, enabling latent Neural ODEs with consistency losses to recover hybrid flows from time series.
GMKF: Generalized moment Kalman filter for polynomial systems with arbitrary noise
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Score Kalman Filter performs nonlinear moment-based filtering by reducing density fitting to a linear solve from moments via score matching and closing hierarchies with Stein's identity, avoiding partition function integrals entirely.
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Embedding Hybrid Systems into Continuous Latent Vector Fields
An n-dimensional hybrid system embeds into a continuous vector field in m > 2n dimensions, enabling latent Neural ODEs with consistency losses to recover hybrid flows from time series.
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The Score Kalman Filter
Score Kalman Filter performs nonlinear moment-based filtering by reducing density fitting to a linear solve from moments via score matching and closing hierarchies with Stein's identity, avoiding partition function integrals entirely.