Quotient-space diffusion models generate correct symmetric distributions by removing redundancy on the quotient space, simplifying learning and improving results on small molecules and proteins under SE(3) symmetry.
Therefore, the mentioned expression indeed holds: ˜h(x) =− 1 2 ∇x log det(Gx).(30) (c)Finally, we derive the expression for the specific case ofG= SO(3)
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Quotient-Space Diffusion Models
Quotient-space diffusion models generate correct symmetric distributions by removing redundancy on the quotient space, simplifying learning and improving results on small molecules and proteins under SE(3) symmetry.