# Idea Template

Use this template for each generated idea (`ideas/idea_N.md`).

## Required Sections

```markdown
# Idea N: [Title]

## One-line Summary
[Single sentence describing the core innovation]

## Challenges Addressed
1. [Challenge 1]
2. [Challenge 2]

## Existing Methods & Limitations

### Method A [arXiv:XXXX.XXXXX]
- **Approach**: [Brief description]
- **Limitation**: [Why insufficient]

### Method B [arXiv:XXXX.XXXXX]
- **Approach**: [Brief description]
- **Limitation**: [Why insufficient]

## Motivation
[Why this gap matters, what opportunity exists]

## Proposed Method

### Core Idea
[Main innovation in 2-3 sentences]

### Technical Approach
[Detailed description]

### Key Equations
$$
\mathcal{L} = ...
$$

## How This Improves on Cited Papers
| Paper | Their Limitation | Our Improvement |
|-------|------------------|-----------------|
| [A]   | ...              | ...             |
| [B]   | ...              | ...             |

## Expected Advantages
1. [Advantage 1]
2. [Advantage 2]

## Evaluation Plan

### Datasets
- [Dataset 1]: [Why chosen]

### Baselines
- [Method from Paper A]
- [Method from Paper B]

### Metrics
- [Metric 1]: [What it measures]

## Scores (1-5)
- **Novelty**: X/5 - [Justification]
- **Feasibility**: X/5 - [Justification]
- **Impact**: X/5 - [Justification]
- **Total**: XX/15
```

## Idea Strategies

Generate 5 ideas using different strategies:

| Idea | Strategy | Description |
|------|----------|-------------|
| 1 | Combination | Merge techniques from 2+ papers |
| 2 | Simplification | Simplify complex method |
| 3 | Generalization | Extend to new domain/task |
| 4 | Constraint Relaxation | Remove limiting assumption |
| 5 | Architecture Innovation | Novel model design |
