Mathematics for AI and Machine Learning

Foundations for modern AI and machine learning

Reverse Fokker-Planck

Chapter 21 Dynamics & diffusion

Chapter 21: Fokker-Planck and Distribution Dynamics — Reverse-Time Fokker-Planck

Animated preview (GIF)
Reverse Fokker-Planck — animated GIF preview
High-resolution PNG
Reverse Fokker-Planck — high-resolution mind-map icon

From the book

Chapter 21: Fokker-Planck and Distribution Dynamics. In the chapter mind map this icon labels Reverse-Time Fokker-Planck. The discussion below is excerpted and lightly edited from § Reverse-Time Fokker-Planck in Mathematics for AI and Machine Learning.

Reversing time in the forward SDE yields a reverse-time Fokker–Planck equation. For the reverse SDE (the matrix chapter):

What this drawing shows

What you see. Gray noise mass fixed; red score arrows $\nabla\log p$ grow toward blue structured modes, reconstructing density under reverse-time dynamics.

In the mind map. Chapter 21 — Reverse-Time Fokker-Planck. See From the book above for definitions, figures, and worked examples.

Where to read next

Open Chapter 21 companion →

Read the full definitions, figures, and worked examples in Chapter 21: Fokker-Planck and Distribution Dynamics — see the mind-map node Reverse-Time Fokker-Planck.