Bowen Xie
@bowen01.bsky.social
CS PhD student from Oregon State University working on diffusion models
Reposted by Bowen Xie
Important to keep in mind when reading about diffusion or flow matching:
- diffusion models's Probability Flow ODE is not optimal transport.
- Composition of optimal transports is not optimal.
- Flow matching with OT conditional paths doesn’t provide optimal transport.
- diffusion models's Probability Flow ODE is not optimal transport.
- Composition of optimal transports is not optimal.
- Flow matching with OT conditional paths doesn’t provide optimal transport.
I wrote a summary of the main ingredients of the neat proof by Hugo Lavenant that diffusion models do not generally define optimal transport. github.com/mathematical...
November 30, 2024 at 10:52 AM
Important to keep in mind when reading about diffusion or flow matching:
- diffusion models's Probability Flow ODE is not optimal transport.
- Composition of optimal transports is not optimal.
- Flow matching with OT conditional paths doesn’t provide optimal transport.
- diffusion models's Probability Flow ODE is not optimal transport.
- Composition of optimal transports is not optimal.
- Flow matching with OT conditional paths doesn’t provide optimal transport.