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The five reduction methods have been extensively compared on the basis of six quality measures of reduction, namely, the orthogonality defect, the minimum angle, the Hermite factor, the length of the shortest reduced vector, the maximum length ratio, and the condition number of the reduced basis.
This reduced vector was classified with the trained SVM classifier or the 1-NN classifier to determine the color class.
Following the experiments on μ ij by Nguyen and Stehlé [7], Schneider et al. [34] studied the mean and variance of the shortest reduced vector.
Strains of the bacterium Wolbachia, deliberately introduced into Aedes aegyptimosquitoes, have been shown to be able to spread to high frequencies in mosquito populations in release trials, and mosquitoes infected with these strains show markedly reduced vector competence.
They should be interpreted with caution and used together with the quality measures of the shortest reduced vector and/or the condition number in order to properly evaluate the quality or performance of a reduction method.
The Hermite defect (9a) and the length defect (9b) may be interpreted to evaluate the mean and absolute improvements of the length of the shortest reduced vector against the lattice L and its first minimum λ ( L ), respectively.
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Figure 13 Curves of cumulative distribution functions of length differences of shortest reduced vectors.
The conventional sense of optimality in the theory of lattice reduction would be twofold: (a) that all the reduced vectors are the shortest and (b) that all the reduced vectors are mutually orthogonal.
Panel B of Figure 12 has shown that PLLL is almost as good as DEEP in producing the shortest reduced vectors.
It is clear from Figure 12 that DEEP performs the best in outputting the shortest reduced vectors, which are theoretically expected, since DEEP employs a strongest swapping condition to reinforce reducing the lengths of the reduced vectors [35].
Waste management and clean-up campaigns reduce vector populations, although to a lesser extent than other interventions and not consistently.
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