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Table 4 The trained forward pass performance. The default float type is float32 on the GPU. The measures are defined as follows: \(\mbox{MSE} = \frac{1}{n} \sum (y_{i}-\hat{y}_{i})^{2}\), \(\mbox{MAE} = \frac{1}{n} \sum |y_{i}-\hat{y}_{i}|\), \(\mbox{MAPE} = \frac{1}{n} \sum \frac{|y_{i}-\hat{y}_{i}|}{y_{i}}\), where y represents the true value, and ŷ represents the predicted value with n being the number of samples

From: A neural network-based framework for financial model calibration

Heston–IV–ANN

MSE

MAE

MAPE

\(R^{2}\)

Training

8.07 × 10−8

2.15 × 10−4

5.83 × 10−4

0.9999936

Testing

1.23 × 10−7

2.40 × 10−4

7.20 × 10−4

0.9999903