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.
Parillo, Semidefinite programming relaxations for semialgebraic problems, Math
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Superposition relaxation creates separable estimators for factorable functions that are tighter than McCormick relaxations in numerical tests while providing convergence guarantees.
SILAS jointly optimizes polynomial ODE vector fields and polynomial Lyapunov functions from data to produce models with provably bounded trajectories via compact absorbing sets.
Introduces three-parameter quartic Lyapunov functions to verify global stability of 2D shear flows beyond energy method limits using symmetries and analytical refinements.
A filter line search SQP algorithm reduces iterations and computation time for nonconvex SOS programs compared to prior methods.
citing papers explorer
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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.
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Relaxation via Separable Estimators: Arithmetic and Implementation
Superposition relaxation creates separable estimators for factorable functions that are tighter than McCormick relaxations in numerical tests while providing convergence guarantees.
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Data-driven discovery of polynomial ODEs with provably bounded solutions
SILAS jointly optimizes polynomial ODE vector fields and polynomial Lyapunov functions from data to produce models with provably bounded trajectories via compact absorbing sets.
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Quartic Lyapunov functions for global fluid stability
Introduces three-parameter quartic Lyapunov functions to verify global stability of 2D shear flows beyond energy method limits using symmetries and analytical refinements.
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On the Practical Implementation of a Sequential Quadratic Programming Algorithm for Nonconvex Sum-of-squares Problems
A filter line search SQP algorithm reduces iterations and computation time for nonconvex SOS programs compared to prior methods.