Models & Algorithms

SDE vs ODE: Mathematical Foundations of Score-based Diffusion

Stochastic vs Deterministic. A deep dive into Score-based SDEs and Probability Flow ODEs, the theoretical foundations of DDPM and DDIM.

SDE vs ODE: Mathematical Foundations of Score-based Diffusion

SDE vs ODE: Mathematical Foundations of Score-based Diffusion

Stochastic vs Deterministic. Same distribution, different paths.

TL;DR

  • SDE (Stochastic DE): Probabilistic paths with noise, theoretical basis of DDPM
  • ODE (Ordinary DE): Deterministic paths, basis of DDIM and Flow Matching
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