Search Papers

Search for academic papers relevant to BreezeForest and normalizing flow research.

Search query: $ARGUMENTS

Task: Find and Organize Relevant Papers

1. Construct Search Queries

Based on "$ARGUMENTS", construct multiple search queries targeting:

• •arXiv (site:arxiv.org)
• •Google Scholar
• •Semantic Scholar

Use combinations of the user's keywords with domain-specific terms:

• •normalizing flows, autoregressive flows
• •density estimation, universal density estimator
• •Jacobian determinant, triangular Jacobian
• •conditional CDF, cumulative distribution function
• •generative models, flow-based models
• •mixture models, Gaussian mixture

2. Execute Searches

Use WebSearch to search across academic sources. Run at least 3 different query variations to maximize coverage. For each search:

• •Include "arxiv" or "paper" in queries to bias toward academic results
• •Search for both recent papers (2023-2026) and foundational works

3. Fetch Paper Details

For the most relevant results (top 5-10), use WebFetch on the arxiv abstract page to extract:

• •Title
• •Authors
• •Abstract summary
• •Publication date
• •arXiv ID

4. Assess Relevance to BreezeForest

For each paper, assess relevance to BreezeForest's key techniques:

• •Autoregressive architecture: Does it use autoregressive decomposition of joint density?
• •Jacobian computation: How does it handle the Jacobian determinant? (triangular, numerical, exact)
• •Universality: Does it claim or prove universal approximation for densities?
• •Inversion/sampling: How does it handle inverse mapping for generation? (bisection, analytical)
• •Regularization: Does it address overfitting / sample memorization?
• •Mixture models: Does it use mixture components?

5. Output Structured Results

Output results in this format:

# Paper Search: [query topic]
**Date**: YYYY-MM-DD

## Summary
[1-2 sentence overview of findings]

## Papers Found

### [Relevance: High/Medium/Low] Paper Title
- **Authors**: ...
- **Year**: ...
- **arXiv**: https://arxiv.org/abs/XXXX.XXXXX
- **Key contribution**: [1 sentence]
- **Relation to BreezeForest**: [How this connects to BreezeForest's approach]
- **Techniques**: [e.g., autoregressive flow, coupling layers, continuous normalizing flow]

### [Next paper...]

## Key Takeaways
1. ...
2. ...

## Suggested Follow-up
- [Further search directions or papers to read in depth]

6. Save Results

Save the results to notes/papers/search_YYYY_MM_DD_[topic_slug].md. Create the directory if it doesn't exist.