jakiwjakiw

jakiwjakiw OP t1_ir6m6wg wrote

That's a pretty interesting question! Actually, I don't know. As far as I know there are currently multiple ways to do conditional generation with SGMs, depending on what your requirements are. I like the work https://arxiv.org/abs/2111.13606 on that regard. But it's also something I wanted to explore in a bit more depth.

Very happy about any input about this!

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jakiwjakiw OP t1_ir6k6b9 wrote

The delta's stand are point measures. \delta_x has mass 1 at the point x and 0 everywhere else.
Therefore \hat\mu is the measure that has mass 1/J at each x_j and 0 everywhere else.

These point measures are also called "dirac delta" and the notation using the delta is common in my field, but it is rather confusing to just use them like that without explanation, thanks a lot for pointing that out. Will update that!

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