Beta Schedule in DDPM

The beta schedule in diffusion models specifies the variance of the noise added at each time step 𝑡 during the forward process. It is a predefined sequence of values  { 𝛽1, 𝛽2, … 𝛽𝑇 } where each 𝛽𝑡 controls the amount of noise added at step 𝑡

The beta schedule itself is deterministic. A combination of smoothness and low variance typically results in the most predictable and easily understandable deterministic functions. If a function has high variance and is not smooth (e.g., it has discontinuities or sharp corners), the output can be very unpredictable even though the function is deterministic.