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1. Perceptron, Support Vector Machine and Dual Optimization Problem (2) - 2

   GeneralizingLinearClassification假设我们有如上图的trainingdata，注意到此时\(\mathcal{X}\subset\mathbb{R}^{2}\)。那么decisionboundary\(g\)：\[g(\vec{x})=w_{1}x_{1}^{2}+w_{2}x_{2}^{2}+w_{0}\]即，decisionboundary为某种椭圆，例如：半径为\(r\)的圆（\(w_{1}=1,w_{2}=1,w_{0}=-r^{2}\)），如上图中的黑圈所示。我们会发现，此时decisionboundarynotlinearin\(\vec{x}\)。但

2. Perceptron, Support Vector Machine and Dual Optimization Problem (2) - 2

   GeneralizingLinearClassification假设我们有如上图的trainingdata，注意到此时\(\mathcal{X}\subset\mathbb{R}^{2}\)。那么decisionboundary\(g\)：\[g(\vec{x})=w_{1}x_{1}^{2}+w_{2}x_{2}^{2}+w_{0}\]即，decisionboundary为某种椭圆，例如：半径为\(r\)的圆（\(w_{1}=1,w_{2}=1,w_{0}=-r^{2}\)），如上图中的黑圈所示。我们会发现，此时decisionboundarynotlinearin\(\vec{x}\)。但

3. Perceptron, Support Vector Machine and Dual Optimization Problem (1) - 2

   Theperceptronalgorithmanditsmistakebound.

4. Perceptron, Support Vector Machine and Dual Optimization Problem (1) - 2

   Theperceptronalgorithmanditsmistakebound.

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