Flow-based generative model: Difference between revisions

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\ell = \mathbf y'\mathbf c +\sqrt{(\mathbf y'\mathbf c)^2+1-\mathbf c'\mathbf c}
</math>
from which we see that we need <math>\lVert\mathbf c\rVert < 1</math> to keep <math>\ell</math> real and positive for all <math>\mathbf y\in\mathbb S^{n-1}</math>. The '''differential volume ratio''' is given (without derivation) by Boulerice & Ducharme(1994) as:<ref name=BDflow>
{{cite journal
|last1=Boulerice