- 2023-12PAC bounds can be misleading for big data
The validation bound says that we only need 5000 samples to verify within 1% error. It is a bit paradoxical for big data.

- 2023-01Denoiser parameterization for diffusion models: V-param. Karras-param. F-param.
The denoiser parameterizations are somewhat confusing, and some of them are the same / with only minute differences. We keep to one set of notations to compare them apples-to-apples.

- 2022-08Tweedie's formula
Diffusion models are making waves. A core concept is conditional mean / weighted nearest neighbor.

- 2022-01Intersection of 2 lines in 3D
In 2D, cross-product of 2 lines gives the intersecting point. Cross product of 2 points gives the common line. Here we generalize it to 3D and beyond.

- 2021-10An easier way to look at differential forms and determinants
Textbook definitions of forms and determinants are easier for analysis. For computation, I am trying some more algorithmic mnemonics.

- 2021-05What I like about Julia
The class this semester is using Julia. Some thoughts on its trade-offs.

Last updated on 2024-04-03.