Mathematical Foundations of Generative AI, Quiz 2

September 2025 term, 23 Nov 2025, Set QDB2

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Question 1

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In a Denoising Diffusion Probabilistic Model (DDPM), the sampling process works by running the reverse diffusion steps:

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Are these reverse steps in DDPM usually stochastic (i.e., involve random noise at each step) rather than purely deterministic?

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In a Denoising Diffusion Probabilistic Model (DDPM), the sampling process works by running the reverse diffusion steps: Figure from the original question paper Are these reverse steps in DDPM usually stochastic (i.e., involve random noise at each step) rather than purely deterministic? A DDPM is trained with time steps. If the initial time step has a very small (variance), and the final time step has a very large , what is the resulting value of the total added noise component at and ? Figure from the original question paper