Hello World: My First Blog Post

Welcome

This is my first blog post on this site. The purpose of this page is to preview how different content elements render in the al-folio theme.

Text Formatting

Here is some bold text, italic text, and inline code. You can also use strikethrough and hyperlinks.

This is a blockquote. Useful for highlighting key takeaways or quoting references.

Code Blocks

A Python snippet:

import numpy as np

def hello(name: str = "World") -> str:
    """Greet someone."""
    return f"Hello, {name}!"

# Generate some random data
x = np.linspace(0, 2 * np.pi, 100)
y = np.sin(x)
print(hello("Blog"))

An inline terminal command: pip install torch.

Math

Inline math: the Euler identity \(e^{i\pi} + 1 = 0\).

A display equation (Bayes’ theorem):

\[P(A \mid B) = \frac{P(B \mid A)\, P(A)}{P(B)}\]

And a multi-line derivation:

\[\begin{aligned} \nabla_\theta \mathcal{L}(\theta) &= \mathbb{E}_{x \sim p_{\text{data}}} \left[ \nabla_\theta \log p_\theta(x) \right] \\ &\approx \frac{1}{N} \sum_{i=1}^{N} \nabla_\theta \log p_\theta(x_i) \end{aligned}\]

Lists

Ordered:

  1. Read the paper
  2. Reproduce the baseline
  3. Run ablation experiments

Unordered:

  • PyTorch
  • NumPy
  • Matplotlib

Table

Method Accuracy F1 Score
Baseline 0.82 0.79
Ours 0.91 0.88

Image Placeholder

To insert a real image, place it in assets/img/ and use:

![description](/assets/img/your-image.png){: width="600"}

What’s Next

This post is just a test. I’ll replace it with real content soon — stay tuned!