Example Blog: Figure, Citations, and Discussion

April 17, 2026

This is a second example post so you can verify formatting and structure.

Final URL for this file:

/blogs/example-blog-with-figure-citations

1. Problem Setup

Given a model $f_\theta$ and task stream ${\mathcal{D}t}{t=1}^T$, we optimize:

\[\min_\theta \sum_{t=1}^{T} \mathcal{L}_t(\theta) + \lambda \Omega(\theta).\]

A common regularizer is:

\[\Omega(\theta) = \left\|\theta - \theta^{(t-1)}\right\|_2^2.\]

2. Figure Example

Example teaser image
Figure 1. Example figure with caption inside a blog post.

3. Discussion

Key observations

  • The regularization term can reduce forgetting.
  • Strong regularization may reduce adaptation on new tasks.
  • Hyperparameter $\lambda$ controls the trade-off.

Practical checklist

  1. Start with a small validation sweep for $\lambda$.
  2. Monitor both old-task and new-task performance.
  3. Report average accuracy and forgetting metrics.

4. Reference Style Examples

Inline citation style:

  • Elastic Weight Consolidation was introduced in [1].
  • Episodic memory-based approaches are discussed in [2].

Numbered references:

[1] Kirkpatrick et al., Overcoming catastrophic forgetting in neural networks, PNAS 2017.
[2] Lopez-Paz and Ranzato, Gradient Episodic Memory for Continual Learning, NeurIPS 2017.
[3] Parisi et al., Continual Lifelong Learning with Neural Networks, Neural Networks 2019.

5. BibTeX Block Example

@article{kirkpatrick2017ewc,
  title   = {Overcoming catastrophic forgetting in neural networks},
  author  = {Kirkpatrick, James and others},
  journal = {Proceedings of the National Academy of Sciences},
  year    = {2017}
}