Symbol f_θ

The passage around this formula

…a known level, and train a network to recover the original from the corrupted version. For coordinates $x_0$ noised to $x_t$ at noise level t , $x_t = \sqrt{\bar{\alpha}_t}\, x_0 + \sqrt{1-\bar{\alpha}_t}\, \epsilon, \qquad \hat{x}_0 = f_\theta(x_t, t)$. with $\epsilon$ drawn from a standard normal distribution and $f_\theta$ the trained network. Generating a structure then means starting from coordinates that are almost pure noise and repeatedly applying the trained denoiser, each pass nudging the atoms closer to a physically coherent arrangement, across many scales at once — from the local geometry of a…

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