This section is where I keep the kind of writing that does not neatly fit into a project page or a research summary.

Sometimes it will be a reading note on a paper. Sometimes it will be notes from a talk, a half-formed idea, or a small technical observation that is useful to remember later.

I want this space to stay lightweight. The goal is not to make every post polished. The goal is to keep useful thoughts from disappearing.

Over time, this section will collect:

• paper notes
• talk notes
• experiment logs
• short essays
• loose technical thoughts

If you are reading this early, this is the seed of the section rather than the finished archive.

LaTeX test:

$$\begin{aligned} \mathcal{L}(\theta) &= \sum_{i=1}^N \log p_\theta(x_i) \\ &= \sum_{i=1}^N \log \int p_\theta(x_i, z) dz \\ &\geq \sum_{i=1}^N \int q(z) \log \frac{p_\theta(x_i, z)}{q(z)} dz \\ &= \sum_{i=1}^N \left( \int q(z) \log p_\theta(x_i, z) dz - \int q(z) \log q(z) dz \right) \\ &= \sum_{i=1}^N\left( \int q(z) \log p_\theta(x_i | z) dz + \int q(z) \log p_\theta(z) dz - \int q(z) \log q(z) dz \right) \\ &= \sum_{i=1}^N\left( \int q(z) \log p_\theta(x_i | z) dz - D_{KL}(q(z) || p_\theta(z)) \right) \end{aligned}$$

H1

H2

This. Haha.