Table 3 Average RMSE values for training dataset sizes of 0.1, 1, and 10 million samples. Significant improvement is observed when the sample size increases from 0.1 to 1 million, whereas only marginal improvement occurs with a further increase to 10 million.

From: Supervised learning of the Jaynes–Cummings Hamiltonian

Method

\(\epsilon\)

0.1M

1M

10M

Avg.

Energy

Avg.

Energy

Avg.

Energy

vDNN

0

4.18e-04

5.34e-03

5.01e-05

6.13e-04

1.07e-04

1.25e-03

0.4

1.45e-02

2.28e-02

1.31e-02

3.00e-02

1.43e-02

1.55e-02

0.8

2.89e-02

5.34e-02

2.71e-02

6.75e-02

2.86e-02

3.61e-02

dDNN

0

2.43e-03

6.58e-03

1.58e-03

2.35e-03

1.48e-03

2.15e-03

0.4

4.11e-03

8.74e-03

3.04e-03

5.58e-03

2.89e-03

5.16e-03

0.8

9.33e-03

1.42e-02

7.62e-03

1.15e-02

7.25e-03

1.05e-02