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Table 1.

The benchmark functions used in our experiments.

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Table 1 Expand

Table 2.

The parameter settings of the algorithms.

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Table 2 Expand

Table 3.

Results of unimodal benchmark functions.

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Table 3 Expand

Table 4.

Results of multi-modal benchmark functions.

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Table 5.

Results of fixed-dimension multi-modal benchmark functions.

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Table 6.

Basic Information of Benchmark Circuits.

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Table 6 Expand

Fig 1.

Sample graphs for convergence process comparison of LFMVO, MVO, PSO, and MFO over function f1.

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Fig 1 Expand

Fig 2.

Sample graphs for convergence process comparison of LFMVO, MVO, PSO, and MFO over function f7.

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Fig 2 Expand

Fig 3.

Sample graphs for convergence process comparison of LFMVO, MVO, PSO, and MFO over function f9.

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Fig 3 Expand

Fig 4.

Sample graphs for convergence process comparison of LFMVO, MVO, PSO, and MFO over function f10.

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Fig 4 Expand

Table 7.

Experimental results for d695 with different test pins.

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Table 7 Expand

Table 8.

Experimental results for p22810 with different test pins.

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Table 8 Expand

Table 9.

Experimental results for p93791 with different test pins.

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Table 9 Expand

Table 10.

Experimental results for hybrid systems hyd629 with different test pins.

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Table 10 Expand

Fig 5.

The boxplot of LFMVO, MVO, PSO, and MFO for d695.

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Fig 5 Expand

Fig 6.

The boxplot of LFMVO, MVO, PSO, and MFO for p22810.

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Fig 6 Expand

Fig 7.

The boxplot of LFMVO, MVO, PSO, and MFO for p93791.

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Fig 7 Expand

Fig 8.

The boxplot of LFMVO, MVO, PSO, and MFO for hyb629.

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Fig 8 Expand