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Fig. 1 | Bulletin of Mathematical Biology

Fig. 1

From: Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics

Fig. 1

Coefficient error \(E_2= \Vert \textbf{w}^\star -{{\widehat{\textbf{w}}}}\Vert _2/\Vert \textbf{w}^\star \Vert _2\) of WENDy applied to the Logistic Growth model vs test function radius \(m_t\) for noise levels \(\sigma _{NR}\in \{10^{-6},\dots ,10^{-1}\}\). For large enough radius, errors are dominated by noise and integration error is negligible. The minimum radius \({\underline{m}}_t\) computed as in Sect. 2.3.1 finds this noise-dominated region, which varies depending on \(\sigma _{NR}\)

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