62 citations · 162 across the 11 of their papers we have counts for
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Local observability of state variables and parameters in nonlinear modeling quantified by delay reconstruction
Ulrich Parlitz, Jan Schumann-Bischoff, Stefan Luther
Features of the Jacobian matrix of the delay coordinates map are exploited for quantifying the robustness and reliability of state and parameter estimations for a given dynamical m…
Nonlinear system identification employing automatic differentiation
Jan Schumann-Bischoff, Stefan Luther, Ulrich Parlitz
An optimization based state and parameter estimation method is presented where the required Jacobian matrix of the cost function is computed via automatic differentiation. Automati…
Quantifying uncertainty in state and parameter estimation
Ulrich Parlitz, Jan Schumann-Bischoff, Stefan Luther
Observability of state variables and parameters of a dynamical system from an observed time series is analyzed and quantified by means of the Jacobian matrix of the delay coordinat…
Basin structure of optimization based state and parameter estimation
Jan Schumann-Bischoff, Ulrich Parlitz, Henry D. I. Abarbanel +4
Most data based state and parameter estimation methods require suitable initial values or guesses to achieve convergence to the desired solution, which typically is a global minimu…