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Computing the Margin

This appendix explores the concept of margin in Support Vector Machines (SVM) by analyzing the equation W · X + b = 0. It delves into the geometric interpretation of the margin, defined as W/|W| · (a2 - a1)X1, showcasing how the margin is influenced by the parameters a1 and a2. Through this analysis, we establish the formula for the margin as 2/|W|, demonstrating its significance in separating hyperplanes in SVMs. A clear understanding of these fundamentals aids in grasping the efficiency of SVM in classification tasks.

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Computing the Margin

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  1. Computing the Margin Appendix to the SVM Lecture

  2. X2 W dot X + b = 0 W dot X + b = 1 Margin = W/|W| dot (a2-a1)X1 Thus, Margin = 2/|W| W/|W| (a2-a1)X1 X1 a1 a2

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