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Fig. 5 | Bulletin of Mathematical Biology

Fig. 5

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

Fig. 5

Logistic growth: Estimation of parameters in the Logistic Growth model. Top left: true solution with example noise realization. Top right: median percentage drop in \(E_2\) from the OLS solution to the WENDy output (e.g. at \(30\%\) noise and 512 timepoints WENDy results in a 85% reduction in error). Bottom left and right panels display parameter errors \(E_2\) and forward simulation error \(E_{FS}\), respectively. Solid lines show the mean error and dash-dot lines show the median error. The dashed maroon line depicts an \(\mathcal {O}(M^{-1/2})\) curve

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