Writings

Writings on stochastic processes, flow/diffusion models, and neural differential equations

2025 May 23
Deriving the Drift and Diffusion Coefficients for Diffusion Models Where do the popular variance-preserving SDE coefficients actually come from? A derivation, working backwards from the desired transition kernel.
2024 Dec 03
Gradients for Time-Scheduled Conditional Variables in Neural Differential Equations A càdlàg extension of the continuous adjoint equations for piecewise-continuous conditional inputs.
2024 Nov 20
The Continuous Adjoint Equations for Diffusion Models A guided tour through AdjointDEIS — exponential integrators for the adjoint ODE/SDE of diffusion models.
2024 Aug 27
Face Morphing with Diffusion Models An expository walk through DiM, Fast-DiM, and Greedy-DiM — using diffusion to attack face recognition systems.