Solve Plan

求解计划: 子问题驱动的求解路线图

生成求解计划: $ARGUMENTS

Overview

Use this skill after the modeling approach is stable enough that the next question becomes: what exact calculations should we run, in what order, to solve each sub-problem? If the user wants the full chain in one request, prefer /model-refine-pipeline.

The goal is not to generate a giant analysis wishlist. The goal is to turn a modeling approach into a 子问题 -> 方法 -> 求解顺序 roadmap that supports four things:

1. the approach actually solves the competition problem
2. each sub-problem has a clear mathematical method
3. the approach is implementable within competition time constraints
4. sensitivity analysis and model validation are planned

Constants

• OUTPUT_DIR = refine-logs/ — Default destination for 求解计划文件.
• **MAX_PRIMARY_SUBPROBLEMS = 5 — Maximum sub-problems to plan for.
• **MAX_CORE_BLOCKS = 5 — Keep the must-run solving blocks compact.
• **MAX_ALTERNATIVE_METHODS = 3 — Prefer a few strong alternative methods for comparison.
• **DEFAULT_RUNS = 3 — Use 3 runs when stochastic variance matters (e.g., Monte Carlo).

Workflow

Phase 0: Load the Proposal Context

Read the most relevant existing files first if they exist:

• refine-logs/FINAL_PROPOSAL.md
• refine-logs/REVIEW_SUMMARY.md
• refine-logs/REFINEMENT_REPORT.md

Extract:

• Problem Anchor
• Dominant contribution
• Optional supporting contribution
• Critical 评委 concerns
• Data / compute / timeline constraints
• Which 创新 primitive is central, if any

If these files do not exist, derive the same information from the user's prompt.

Phase 1: Freeze the Paper Claims

Before proposing experiments, write down the claims that must be defended.

Use this structure:

• Primary claim: the main mechanism-level contribution
• Supporting claim: optional, only if it directly strengthens the main 论文逻辑
• Anti-claim to rule out: e.g. "the gain only comes from more parameters," "the gain only comes from a larger search space," or "the modern component is just decoration"
• Minimum convincing evidence: what would make each claim believable to a strong 评委?

Do not exceed MAX_PRIMARY_CLAIMS unless the paper truly has multiple inseparable claims.

Phase 2: Build the Experimental Storyline

Design the paper around a compact set of 求解模块. Default to the following blocks and delete any that are not needed:

1. Main anchor result — does the method solve the actual bottleneck?
2. 方法对比验证 — does the dominant contribution itself matter?
3. Simplicity / elegance check — can a bigger or more fragmented version be avoided?
4. Frontier necessity check — if an 创新数学方法 component is central, is it actually the right tool?
5. Failure analysis or qualitative diagnosis — what does the method still miss?

For each block, decide whether it belongs in:

• 论文正文 — essential to defend the core claims
• 附录 — useful but non-blocking
• Cut — interesting, but not worth the 论文篇幅

Prefer one strong baseline family over many weak baselines. If a stronger modern baseline exists, use it instead of padding the list.

Phase 3: Specify Each Experiment Block

For every kept block, fully specify:

• Claim tested
• Why this block exists
• Dataset / split / task
• Compared systems: strongest baselines, 灵敏度分析s, and variants only
• Metrics: decisive metrics first, secondary metrics second
• Setup details: 基础框架, 固定 vs 可调 parts, key hyperparameters, 计算预算, 随机种子
• Success criterion: what outcome would count as convincing evidence?
• Failure interpretation: if the result is negative, what does it mean?
• Table / figure target: where this result should appear in the paper

Special rules:

• A simplicity check should usually compare the final method against either an overbuilt variant or a tempting extra component that the paper intentionally rejects.
• A 创新方法必要性检查 should usually compare the chosen modern primitive against the strongest plausible simpler or older alternative.
• If the proposal is intentionally non-创新, say so explicitly and skip the 创新 block instead of forcing one.

Phase 4: Turn the Plan Into an Execution Order

Build a realistic run order so the user knows what to do first.

Use this milestone structure:

1. Sanity stage — data pipeline, metric correctness, one quick overfit or toy split
2. Baseline stage — reproduce the strongest baseline(s)
3. Main method stage — run the final method on the primary setting
4. Decision stage — run the decisive 灵敏度分析s for 创新性, simplicity, and 创新 necessity
5. Polish stage — robustness, qualitative figures, appendix extras

For each milestone, estimate:

• compute cost
• expected turnaround time
• stop / go decision gate
• risk and mitigation

Separate must-run from nice-to-have experiments.

Phase 5: Write the Outputs

Step 5.1: Write refine-logs/SOLVE_PLAN.md

Use this structure:

# 求解计划

**Problem**: [problem]
**Method Thesis**: [one-sentence thesis]
**Date**: [today]

## Claim Map
| Claim | Why It Matters | Minimum Convincing Evidence | Linked Blocks |
|-------|-----------------|-----------------------------|---------------|
| C1    | ...             | ...                         | B1, B2        |

## Paper Storyline
- 论文正文 must prove:
- 附录 can support:
- Experiments intentionally cut:

## 求解模块

### Block 1: [Name]
- Claim tested:
- Why this block exists:
- Dataset / split / task:
- Compared systems:
- Metrics:
- Setup details:
- Success criterion:
- Failure interpretation:
- Table / figure target:
- Priority: MUST-RUN / NICE-TO-HAVE

### Block 2: [Name]
...

## Run Order and Milestones
| Milestone | Goal | Runs | Decision Gate | Cost | Risk |
|-----------|------|------|---------------|------|------|
| M0        | ...  | ...  | ...           | ...  | ...  |

## Compute and Data Budget
- Total estimated compute-minutes:
- Data preparation needs:
- Human evaluation needs:
- Biggest bottleneck:

## Risks and Mitigations
- [Risk]:
- [Mitigation]:

## Final Checklist
- [ ] 论文正文 tables are covered
- [ ] Novelty is isolated
- [ ] Simplicity is defended
- [ ] Frontier contribution is justified or explicitly not claimed
- [ ] Nice-to-have runs are separated from must-run runs

Step 5.2: Write refine-logs/SOLVE_TRACKER.md

Use this structure:

# 求解追踪

| Run ID | Milestone | Purpose | System / Variant | Split | Metrics | Priority | Status | Notes |
|--------|-----------|---------|------------------|-------|---------|----------|--------|-------|
| R001   | M0        | sanity  | ...              | ...   | ...     | MUST     | TODO   | ...   |

Keep the tracker compact and execution-oriented.

Step 5.3: Present a Brief Summary to the User

Experiment plan ready.

Must-run blocks:
- [Block 1]
- [Block 2]

Highest-risk assumption:
- [risk]

First three runs to launch:
1. [run]
2. [run]
3. [run]

Plan file: refine-logs/SOLVE_PLAN.md
Tracker file: refine-logs/SOLVE_TRACKER.md

Key Rules

• Large file handling: If the Write tool fails due to file size, immediately retry using Bash (cat << 'EOF' > file) to write in chunks. Do NOT ask the user for permission — just do it silently.

• Every experiment must defend a claim. If it does not change a 评委 belief, cut it.

• Prefer a compact 论文逻辑. Design the main table first, then add only the 灵敏度分析s that defend it.

• Defend simplicity explicitly. If complexity is a concern, include a deletion study or a stronger-but-bloated variant comparison.

• Defend 创新 choices explicitly. If a modern primitive is central, prove why it is better than the strongest simpler alternative.

• Prefer strong baselines over long baseline lists. A short, credible comparison set is better than a padded one.

• Separate must-run from nice-to-have. Do not let appendix ideas delay the core paper evidence.

• Reuse proposal constraints. Do not invent unrealistic budgets or data assumptions.

• Do not fabricate results. Plan evidence; do not claim evidence.

Composing with Other Skills

/model-refine-pipeline -> one-shot method + 求解计划ning
/model-refine   -> method and claim refinement
/solve-plan   -> detailed 求解路线图
/run-solver    -> execute the runs
/auto-optimize-loop  -> react to results and iterate on the paper