Advanced Modeling and Simulation in Engineering Sciences

Table 1 The mean relative error computed in all the experiments

From: A DeepONet multi-fidelity approach for residual learning in reduced order modeling

		POD	DeepONet			MFDeepONet
		POD	10k	20k	50k	10k	20k	50k
Testcase #1	POD rank = 0.99	0.324	0.270	0.265	0.217	0.293	0.247	0.308
	POD rank = 0.999	0.203	0.270	0.265	0.217	0.196	0.193	0.127
	POD rank = 0.9999	0.098	0.270	0.265	0.217	0.093	0.104	0.178
Testcase #2	POD rank = 0.99	0.105	0.116	0.068	0.072	0.030	0.022	0.030
	POD rank = 0.999	0.033	0.116	0.068	0.072	0.025	0.023	0.009
	POD rank = 0.9999	0.011	0.116	0.068	0.072	0.011	0.009	0.009

	Gappy POD	DeepONet			MFDeepONet
	Gappy POD	10k	20k	50k	10k	20k	50k
Testcase #1	0.260	0.419	0.380	0.278	0.218	0.217	0.197
Testcase #2	0.135	0.035	0.033	0.017	0.029	0.010	0.009

In bold the best results for each row

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