ModuFlow/internal-docs
3
0
Fork 0
forked from manbo/internal-docs
Code Pull Requests Activity

Fix: equation misplaced error

Browse Source
This commit is contained in:
DaZuo0122
2026-02-04 17:06:57 +08:00
parent 87ba7a5516
commit dc5db4f3ec
1 changed files with 4 additions and 3 deletions
Download Patch File Download Diff File Expand all files Collapse all files

5
arxiv-style/main.tex
View File

@@ -10,6 +10,7 @@
\usepackage{amsfonts} % blackboard math symbols \usepackage{amsfonts} % blackboard math symbols
\usepackage{nicefrac} % compact symbols for 1/2, etc. \usepackage{nicefrac} % compact symbols for 1/2, etc.
\usepackage{microtype} % microtypography \usepackage{microtype} % microtypography
\usepackage{amsmath} % cleveref must be loaded after amsmath!
\usepackage{cleveref} % smart cross-referencing \usepackage{cleveref} % smart cross-referencing
\usepackage{lipsum} % Can be removed after putting your text content \usepackage{lipsum} % Can be removed after putting your text content
\usepackage{graphicx} \usepackage{graphicx}
@@ -181,9 +182,9 @@ Discrete ICS variables must remain categorical, making Gaussian diffusion inappr
We therefore adopt masked (absorbing) diffusion for discrete channels, where corruption replaces tokens with a special $\texttt{[MASK]}$ symbol according to a schedule \citep{shi2024simplified}. For each variable $j$, define a masking schedule $\{m_k\}_{k=1}^K$ (with $m_k\in[0,1]$) increasing in $k$. The forward corruption process is: We therefore adopt masked (absorbing) diffusion for discrete channels, where corruption replaces tokens with a special $\texttt{[MASK]}$ symbol according to a schedule \citep{shi2024simplified}. For each variable $j$, define a masking schedule $\{m_k\}_{k=1}^K$ (with $m_k\in[0,1]$) increasing in $k$. The forward corruption process is:
\begin{equation} \begin{equation}
q(y^{(j)}_k \mid y^{(j)}_0)= q(y^{(j)}_k \mid y^{(j)}_0) =
\begin{cases} \begin{cases}
y^{(j)}, & \text{with probability } 1-m_k,\\ y^{(j)}_0, & \text{with probability } 1 - m_k, \\
\texttt{[MASK]}, & \text{with probability } m_k, \texttt{[MASK]}, & \text{with probability } m_k,
\end{cases} \end{cases}
\label{eq:masking_process} \label{eq:masking_process}