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Equation 1 · How AI for Science and Medicine Actually Works

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x0x_0

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a coordinate in the stated process. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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x0x_0

Symbol x_0

a coordinate in the stated process.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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The larger change is in how coordinates are produced. Rather than a Structure Module built on rotations and translations, AlphaFold3 uses a diffusion module that operates directly on raw atom coordinates and a coarse token representation, without rotational frames at all. Diffusion models are trained on a simple, general task: take a true data point, corrupt it with noise at a known level, and train a network to recover the original from the corrupted version. For coordinates x0x_0 noised to xtx_t at noise level t ,

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