Mapping characteristics based on four kinds of kernel functions (a) RBF kernel function, (b) polynomial kernel function, (c) linear kernel function, and (d) sigmoid kernel function.

Mapping characteristics based on four kinds of kernel functions (a) RBF kernel function, (b) polynomial kernel function, (c) linear kernel function, and (d) sigmoid kernel function.

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The types of kernel function and relevant parameters’ selection in support vector machine (SVM) have a major impact on the performance of the classifier. In order to improve the accuracy and generalization ability of the model, we used mixed kernel function SVM classification algorithm based on the information entropy particle swarm optimization (P...

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... Support Vector Machines (SVMs) are a well-established technique, based on statistical learning that analyzes complex bioprocess data with high nonlinearity and time-varying in biological fermentation, they have been widely used to construct soft-sensor models in the biological development process [74]. For instance, Li et al. used SVM to predict the penicillin titer in real-time in the industrial production [75]. ...
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... These operations directly affected the kernel matrix and the operation result was the positive semi-definite matrix at all times. The polynomial kernel function was a global kernel function that provided a better dissemination capability and a weaker learning ability [33], while the sigmoid kernel function provided a better global performance [46]. ...
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... s, respectively. The lower adjacent optimization time of the inertia weight obtained by (19) is 443.456 s, which is close to the upper adjacent value of the box obtained by (18). ...
... Thus, the three indexes, the maximum, the median value, and the Euclidean norm of the normalized error vector after reaching convergence, are able to reflect better convergence performance after convergence. The indexes obtained by (19) and (20) are basically superior to that of (17); that is, the nonlinear inertial weight algorithm is superior to the linear inertial weight algorithm generally. In summary, the Particle Swarm Optimization algorithm with dynamic inertia weight is better than the one with constant inertia weight, and the algorithm using nonlinear inertia weight is better than that one using linear inertia weight. ...
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