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I think I can see how I can parameterize my line, but what matters, according to the video, is the vector theta that is normal to the line. Doesn't the line have an infinite number of normal vectors corresponding to it? If I want to parameterize the normal vector theta, then I would need at...

Sorry, do you mean parametrize the line like this: http://mathdl.maa.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=323&bodyId=243 Or something else?

Hi mfb, I think you're right about taking the derivative on the minimization function. However, that's where I'm stuck. The minimization function has 3 parameters for 2D space: theta0, theta1, and theta2, no? How do I take the derivative of a funtion with 3 variables? I think the general...

Sorry, I did not formulate my question properly. I'll describe the application. Say that I have a set of points as shown in the photo. Some points are red and some are green. I want to find the line that separates the two groups with as much margin as possible. Support vector machines do...

Say I have a set of points in 2D space. How would I find a line that maximizes the sum orthogonal projection of the points onto the line. The line does not have to go through the origin.