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Diffusion Model

Forward Process

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Formulas

αt = 1 - βt (signal remaining at step t)

ᾱt = α₁ × α₂ × ... × αt (product of all α)

q(xt|x₀) = N(√ᾱt × x₀, (1-ᾱt) × I)

Key Distinction

αt = one step only. ᾱt = ALL steps multiplied together. Don't confuse them.

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