Table 4.6:

Quantitative results for different low frequency noise levels. We choose the ground truth model parameters from the synthetic test-case AT-C2. We report the performance metrics for model parameter inversion (e_K,e_p), the relative error in the final tumor reconstruction $\left({\mu }_{T,L_2}\right)$, the relative error in the reconstructed initial condition $\left({\mu }_{0,L_2}\right)$, the relative error in the parameterization of the initial condition $\left({\mu }_{p,{\mathcal{l}}_1}\right)$, the relative change in the gradient $\left(\Vert g{\Vert }_{rel}\right)$and solver timings $\left(T_{inv}\right)$ in seconds. All ground truth values are indicated by ‘*’ and the inverted quantities with ‘rec’.

Noise level	K*	P*	Krec	ek	prec	eP	¥t,L2	¥0,L2	¥p,l1	llgl|rel	Tinv [s]
0%	5E-2	1.20E1	3.89E-2	2.23E-1	1.02E1	1.47E-1	1.72E-1	1.26E0	2.25E0	9.36E-6	6.43E2
1%	5E-2	1.20E1	3.70E-2	2.59E-1	1.03E1	1.42E-1	1.87E-1	1.20E0	2.10E0	3.56E-3	9.96E2
5%	5E-2	1.20E1	3.74E-2	2.53E-1	1.09E1	8.97E-2	1.72E-1	1.20E0	2.09E0	7.92E-6	7.88E2
10%	5E-2	1.20E1	4.07E-2	1.86E-1	1.09E1	9.26E-2	1.73E-1	1.20E0	2.06E0	3.11E-4	1.09E3