Writing blog posts

This site is built with Jekyll. To publish a post, create a Markdown file in _posts/ named YYYY-MM-DD-your-post-title.md. Jekyll turns it into a page automatically and adds it to the Blog archive.

Use this starting point:

---
title: "A clear, useful post title"
date: 2026-07-19
excerpt: "A one-sentence summary shown in listings."
tags:
  - machine learning
  - research
---

An introductory paragraph in **Markdown**.

## A section heading

Use a link: [my website](https://rguo12.github.io/).

Inline math works with `\(` and `\)`: \(f(x) = x^2 + 1\).

Display math works with either `\[` / `\]` or `$$`:

\[
  \mathcal{L}(\theta) = -\sum_{i=1}^{n} \log p_\theta(y_i \mid x_i).
\]

```python
def greet(name):
    return f"Hello, {name}!"

## English and Chinese versions

For a bilingual post, create two Markdown files: one English and one Chinese.
Give them the same `translation_key`, and set `lang` to `en` or `zh`. The
English file is what appears in the blog, tag, and category archives; each
version has a language switcher linking readers to the other one.

For example, use these filenames:

_posts/2026-07-20-my-post.md _posts/2026-07-20-my-post-zh.md

Use matching front matter in the two files (with the appropriate title and
content for each language):

```markdown
---
title: "My post title"
date: 2026-07-20
lang: en
translation_key: my-post
---

---
title: "我的文章标题"
date: 2026-07-20
lang: zh
translation_key: my-post
---

Use a unique, URL-safe translation_key such as causal-ml-notes. Both versions must use exactly the same key. A post without these fields continues to work normally.

Notes

• Do not put spaces in the filename’s date portion; the date determines the post URL and ordering.
• Write ordinary prose with standard Markdown: headings, lists, links, images, block quotes, and fenced code blocks are supported.
• MathJax renders LaTeX in the browser. Use \(...\) for inline equations and \[...\] or $$...$$ for a centered equation. Avoid $...$ inline delimiters so currency values such as $20 remain ordinary text.
• If an equation contains a Liquid expression (two opening or closing curly braces), surround the equation with Liquid’s raw and endraw tags to prevent Jekyll from interpreting it as a template expression.

To preview changes locally after installing the Ruby dependencies, run:

bundle install
bundle exec jekyll serve -l -H localhost

Then open http://localhost:4000/year-archive/. Push the committed changes to GitHub and GitHub Pages will publish the site.