Fractional-Order Deep Backpropagation Neural Network

Table 3

Performance comparison of different type BP neural networks.

Size of training set	Integer-order BP neural networks		Fractional-order BP neural networks		Integer-order BP neural networks with regularization		Fractional-order BP neural networks with regularization
	Training Accuracy	Testing Accuracy	Training Accuracy	Testing Accuracy	Training Accuracy	Testing Accuracy	Training Accuracy	Testing Accuracy	Improvement relative to IOBP	Improvement relative to FOBP
10000	98.41%	89.87%	98.48%	90.31%	98.45%	93.35%	98.43%	93.95%	4.54%	4.03%
20000	98.81%	92.28%	98.84%	92.34%	98.75%	95.09%	98.79%	95.13%	3.09%	3.02%
30000	98.95%	93.38%	99.05%	93.50%	98.92%	95.15%	98.88%	95.62%	2.40%	2.27%
40000	99.05%	93.83%	99.01%	93.92%	98.96%	95.63%	98.95%	95.83%	2.13%	2.03%
50000	99.20%	94.55%	99.17%	94.56%	99.11%	96.08%	99.15%	96.45%	2.01%	2.00%
60000	99.17%	94.87%	99.20%	95.00%	99.13%	96.51%	99.17%	96.70%	1.93%	1.79%

We use the following formula to calculate improvement: improvement of A compared with B = (A-B)÷B.