Support vector machine.

Support vector machine.

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In this paper, the daily returns of the S&P 500 stock market index are predicted using a variety of different machine learning methods. We propose a new multinomial classification approach to forecasting stock returns. The multinomial approach can isolate the noisy fluctuation around zero return and allows us to focus on predicting the more informa...

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... support vector machines originally presented by Vapnik 37 can be used for both classification and regression problems. The basic idea and the terminology of support vector machines can be illustrated using a two-class classification problem with a linear decision boundary. The left-hand side of Fig. 4 illustrates the case with perfect separability. The right panel in Fig. 4 shows the nonseparable case, where some data points are misclassified by the linear decision boundary. The solid blue line in Fig. 4 is the decision boundary separating the two ...
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... originally presented by Vapnik 37 can be used for both classification and regression problems. The basic idea and the terminology of support vector machines can be illustrated using a two-class classification problem with a linear decision boundary. The left-hand side of Fig. 4 illustrates the case with perfect separability. The right panel in Fig. 4 shows the nonseparable case, where some data points are misclassified by the linear decision boundary. The solid blue line in Fig. 4 is the decision boundary separating the two ...
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... of support vector machines can be illustrated using a two-class classification problem with a linear decision boundary. The left-hand side of Fig. 4 illustrates the case with perfect separability. The right panel in Fig. 4 shows the nonseparable case, where some data points are misclassified by the linear decision boundary. The solid blue line in Fig. 4 is the decision boundary separating the two ...
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... scheme between the K(K À 1)/2 binary classifiers constructed for each class pair. For more information on the multiclass classification with support vector machines see eg., Hsu and Lin. 38 The goal with support vector machines is to find the decision boundary with maximum area on both sides of the boundary also known as the margin M ¼ 2 kbk . In Fig. 4 the dashed lines illustrate the margin and the points located at the dashed lines are known as support vectors. Hastie et al. 34 show that instead of maximizing the margin the optimization problem can be written in terms of minimizing ...

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Chapter
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