Generative Model

Nov 1, 2024

Aug 1, 2024

May 1, 2024

Nov 1, 2023

PhD Thesis Defense

Sep 13, 2023

Mar 1, 2023

Motivation Given the popularity and power of diffusion models, the theoretical formulation of these models are not in unison. Because multiple groups have derived these models from different background, there exist multiple formulations, SDE, ODE, Markov Chain, Non-markov chain etc.

Jan 16, 2023

Oct 1, 2022

TOC {:toc} Motivation Consider a distribution $p(x)$, we could “convolve” it with a kernel $p(\tilde{x}\mid x)=q(\tilde{x}-x)$. The marginal distribution of $\tilde{x}$ is denoted as $p_\sigma(\tilde{x})$. We want to model the score of this convolved distribution and that of the original distribution $\nabla\log p_\sigma(\tilde{x})$ .

Jun 20, 2022

TOC {:toc} Motivation Recently, a line of research emerged in generative image models, diffusion models, which showed a competitive performance with GAN [^1]. More recently, a larger scale version of it gave rise to the ground breaking model DALL-E 2 and its precursor GLIDE.

May 9, 2022