Sure, but I think Tom and I answered the question, didn’t we? If you don’t include bias, then you are putting a very severe artificial restriction on the solutions that you can find. It’s exactly analogous to saying you will only accept lines through the origin. Yes, you’re right that this is logically equivalent to applying two transformations in order: shift the origin by the bias amount and then do the “rotate and scale” linear transformation. But the problem is that the bias is learned, right? You don’t know what it is until after you run the training. So Prof Ng has given you a way to learn both transformations in one step. You want to make it two steps, so it’s your job to show us how you could do that and why that is somehow better than Prof Ng’s method.
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