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Fig 1.

The normal cloud model.

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Fig 2.

Forward and backward cloud transformation processes.

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Fig 3.

Overall framework for KL-SR.

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Fig 4.

Cloud map constructed from data of atomization and non-atomization states.

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Fig 5.

PDF of different kurtosis distributions.

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Table 1.

The key parameters information for CMs.

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Table 2.

The key parameters of ATCM.

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Table 3.

Atomization state estimation results.

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Table 4.

The estimation results of CMKP (25, 3, 0.1).

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Table 5.

The estimation results of CMKP (25, 3, 0.55).

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Table 6.

The estimation results of CMKP (25, 1, 0.8).

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Fig 6.

The estimated values of the En and He for CMKP (25, 3, 0.1).

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Fig 7.

The estimation errors of the En and He for CMKP (25, 3, 0.1).

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Fig 8.

The estimated values of the En and He for CMKP (25, 3, 0.55).

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Fig 9.

The estimation errors of the En and He for CMKP (25, 3, 0.55).

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Fig 10.

The estimated values of the En and He for CMKP (25, 1, 0.80).

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Fig 11.

The estimation errors of the En and He for CMKP (25, 1, 0.80).

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Table 7.

Experimental dataset information.

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Table 8.

The CMKP of experimental dataset.

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Fig 12.

The results of Euclidean distance for the experimental dataset.

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Table 9.

Average running time and relative cost of four algorithms under different CMKPs.

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