Literature Review

Generate a structured literature review on a research sub-topic.

Topic: $ARGUMENTS

Task: Produce a Comprehensive Literature Review

1. Define Scope

Based on "$ARGUMENTS", define:

• •Core topic: The central research question or technique
• •Boundaries: What is included and excluded
• •Time span: Focus on key works from foundational (pre-2018) to recent (2024-2026)
• •Connection to BreezeForest: How this topic relates to the BreezeForest project (autoregressive normalizing flows, conditional CDF, Jacobian-free determinant, bisection inversion, mixture regularization)

2. Search for Literature

Use WebSearch with multiple queries:

• •"[topic] survey" or "[topic] review"
• •"[topic] normalizing flows"
• •"[topic] arxiv" for recent preprints
• •"[topic] density estimation"
• •Key author names if known

Run at least 5 different search queries to ensure broad coverage.

3. Collect and Organize Papers

For each relevant paper found, record:

• •Title, authors, year
• •Venue (NeurIPS, ICML, ICLR, AISTATS, arXiv, etc.)
• •Key contribution (1-2 sentences)
• •Methodology category

Group papers into thematic categories relevant to the topic.

4. Trace Development Timeline

Identify:

• •Foundational works: Papers that established the field or technique
• •Key breakthroughs: Papers that significantly advanced the state of the art
• •Recent developments: Latest papers pushing the frontier
• •Branching points: Where the field diverged into different approaches

5. Write the Literature Review

Structure the review as follows:

# Literature Review: [Topic]
**Date**: YYYY-MM-DD
**Scope**: [brief scope description]

## Abstract
[3-5 sentence summary of the review findings]

## 1. Introduction and Motivation
- Why this topic matters for normalizing flow research
- Connection to BreezeForest's approach
- Scope and organization of this review

## 2. Background and Foundations
- Core concepts and definitions
- Foundational works that established the field
- Key mathematical frameworks

## 3. Key Methods and Approaches

### 3.1 [Approach Category A]
- [Paper 1] (Author et al., Year): [contribution summary]
- [Paper 2] (Author et al., Year): [contribution summary]
- **Summary**: [synthesis of this approach]

### 3.2 [Approach Category B]
- ...

### 3.3 [Approach Category C]
- ...

## 4. Development Timeline
[Chronological narrative of how the field evolved]

## 5. Comparative Analysis
| Method | Key Idea | Strengths | Limitations | Relevance to BreezeForest |
|---|---|---|---|---|
| ... | ... | ... | ... | ... |

## 6. Connection to BreezeForest
- Which ideas does BreezeForest build upon?
- How does BreezeForest differ from or extend existing methods?
- What techniques from the literature could benefit BreezeForest?

## 7. Open Problems and Future Directions
1. [Open problem]: [description and current state]
2. [Open problem]: [description and current state]
3. ...

## 8. Conclusion
[Summary of key findings and implications for BreezeForest research]

## References
1. [Author et al. (Year). "Title." Venue. URL]
2. ...

6. Save Results

Save the review to notes/reviews/[topic_slug]_YYYY_MM_DD.md. Create the directory if it doesn't exist.