Flotation Performance Recognition Based on Dual-modality Convolutional Neural Network Adaptive Transfer Learning

Function	Function formula	Parameter range	Optimum value
Rosenbrock	$f_{1} (x) = \sum_{i = 1}^{N - 1} [100 (x_{i + 1} - x_{i}^{2})^{2} + (x_{i} {- 1)}^{2}]$	[-10，10]	0
Rastrigrin	$f_{2} (x) = \sum_{i = 1}^{N} [x_{i}^{2} - 10 c o s (2 π x_{i}^{2}) + 10]$	[-100，100]	0
Schewefel	$f_{3} (x) = 418.9829 N + [- x_{i} s i n (\sqrt[]{x_{i}})]$	[-500，500]	0
Shubert	$f_{4} (x) = 0.5 - \frac{s i n^{2} \sqrt[]{x_{1}^{2} + x_{2}^{2}} - 0.5}{[1 + 0.001 (x_{1}^{2} + x_{2}^{2} {)]}^{2}}$	[-100，100]	1
Schaffer	$f_{5} (x) = \{\sum_{i = 1}^{5} i c o s [(i + 1) x + i]\} \{\sum_{i = 1}^{5} i c o s [(i + 1) y + i]\}$	[-100，100]	-186.730 9

Table 2. The average optimal value probability (%) and the number of iterations

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Table 2. The average optimal value probability (%) and the number of iterations

$λ$ $Δ θ$	0.1π	0.2π	0.3π	0.4π	0.5π
1.1	97.89/205.1	98.56/210.2	99.09/196.5	98.79/213.6	97.37/212.4
1.2	97.88/208.8	98.84/204.4	99.20/204.7	99.16/204.6	98.31/198.5
1.3	98.14/199.4	98.78/199.4	99.15/202.6	99.35/198.4	97.81/201.6
1.4	98.56/197.6	98.95/196.4	99.64/198.7	99.64/202.7	98.33/208.1
1.5	98.85/204.5	99.35/196.6	99.70/192.9	99.81/205.3	99.11/205.3
1.6	99.36/209.4	99.12/201.3	99.95/190.2	99.85/203.8	98.76/197.4
1.7	99.87/201.8	99.76/195.2	99.92/191.8	99.65/206.2	99.23/196.6
1.8	99.78/194.3	99.23/198.8	99.63/194.3	99.54/199.5	99.15/196.1
1.9	99.46/199.2	98.84/208.3	99.24/201.8	99.21/198.1	98.86/195.8
2.0	98.95/206.4	98.97/207.1	99.26/202.7	98.89/201.3	98.15/202.3

Table 3. Test results of data sets for various KELM algorithm

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Table 3. Test results of data sets for various KELM algorithm

Data set	Lonosphere		Shuttle		USPS
Test item	Accuracy/%	Times/s	Accuracy/%	Times/s	Accuracy/%	Times/s
KELM	90.12	1.253	91.31	26.930	91.75	162.961
AE⁃KELM	94.23	2.014	95.52	38.237	95.81	720.834
DAE⁃KELM	96.45	4.587	98.31	45.417	98.35	1 646.250

Table 4. Recognition effect of different methods

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Table 4. Recognition effect of different methods

Algorithm	Feature extraction method	Classification algorithm	Accuracy/%	Standard deviation/%
Ref. [6]	Alexnet	Random forest	85.93	4.24
Ref. [7]	CNN feature statistics	PW mean⁃shift	91.25	1.82
Ref. [8]	Two layers CNN	SVM	89.06	2.95
Ref. [9]	Alexnet transfer learning	Random forest	93.02	2.68
Proposed	Dual⁃modality alexnet transfer learning	Adaptive DAE⁃KELM	96.83	1.96

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Yi-peng LIAO, Jie-jie YANG, Zhi-gang WANG, Wei-xing WANG. Flotation Performance Recognition Based on Dual-modality Convolutional Neural Network Adaptive Transfer Learning[J]. Acta Photonica Sinica, 2020, 49(10): 1015001

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