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## How sure are you that large margin implies low VC dimension?

How sure are you that large margin implies low VC dimension (and good generalization error)? It is true. But even if you have taken a good course on machine learning you many have seen the actual proof (with all of the caveats and conditions). I worked through the literature proofs over the holiday and it took a lot of notes to track what is really going on in the derivation of the support vector machine.

Figure: the standard SVM margin diagram, this time with some un-marked data added.
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