arxiveess.SPeess.SY2026-07-17
Polynomial Chaos Expansion Based Nonlinear Filtering of Stochastic Processes
David Bordenkircher, Ruixin Niu
In Dynamic Data Driven Applications Systems (DDDAS), non-linear continuous-discrete (CD) tracking algorithms have been proposed to recursively estimate stochastic processes which follow continuous-time stochastic differential equations (SDE) using non-linear discrete-time measure…