| name | cumcm-math-modeling |
| description | CUMCM/数学建模竞赛 workflow for problem decomposition, data audit,
route comparison, reproducible solving, validation, figures, and paper writing.
Use for 全国大学生数学建模竞赛, CUMCM, 建模论文, 赛题分析, 技术路线图,
模型流程图, 灵敏度分析, 摘要, 一等奖标准, or contest-style modeling reports.
Do not use for ordinary homework, non-contest paper polishing, image-only
editing, or pure coding fixes unless contest modeling is requested.
|
CUMCM Math Modeling
Answer in Chinese by default. Treat the final contest paper as the main
deliverable for solved or paper-facing work. Planning-only work should still
produce artifacts that can later be written into paper/main.tex, but it does
not have to edit the paper immediately.
Always Read First
- Short beginner request intent map:
prompts/intent-map.md
- Core rules:
references/core-rules.md
Workflow
For full problems, follow the staged workflow in references/workflow.md and
the gate checks in references/stage-gates.md.
For each solved subquestion:
- Parse the task and data dependencies.
- Write
modeling/qx_modeling_idea.md using
references/modeling-derivation-standard.md; it must include a
beginner-readable derivation from problem wording to variables, mechanisms,
equations/criteria, constraints, code modeling process, algorithm,
validation, and paper wording.
- Solve with code when needed.
- Produce tables, GPT-image model flowchart, result figures, and validation.
- Reverse-check code against the modeling idea.
- Record headline value sources in saved tables, figures, and validation notes.
- Update
paper/main.tex.
Task Routing
Read only the relevant file(s):
- Short or vague beginner request:
prompts/intent-map.md, then route by the
expanded intent below. Use prompts/auto-complete.md only as the compatibility
navigation entry if needed
- Solve one subquestion or full problem:
prompts/solve.md
- Candidate models, direct derivation, deeper model, or model optimization:
prompts/modeling.md
- Abstract, paper writing, figure/table discipline, or code-to-paper writing:
prompts/writing.md
- Baseline, validation, sensitivity, or reliability checks:
prompts/validation.md
- Judge-style review, award readiness, or emergency mode:
prompts/review.md
- Full problem:
references/workflow.md, references/problem-routing.md
- Single subquestion:
references/task-modes.md, references/problem-routing.md
- Before writing any
modeling/qx_modeling_idea.md:
references/modeling-derivation-standard.md
- Data audit:
references/data-audit.md, then use scripts/data_profile.py
- Problem parsing:
references/problem-parsing.md, then use scripts/problem_parser.py
- Task decomposition: use
scripts/build_task_plan.py
- Before finalizing any model route or paper-facing claim:
references/critical-constraint-audit.md
- Model selection:
references/method-cards.json, then references/method-library.md if needed
- Mathematical depth:
references/advanced-math-modeling.md when the problem has
physical mechanisms, networks, uncertainty, causal questions, PDE/ODE dynamics,
stochastic processes, or when the user asks for stronger mathematical modeling
- First-prize gate, rubric, and benchmark:
references/first-prize-workflow.md,
references/first-prize-rubric.md, references/official-benchmark.md
- CUMCM A problem:
references/cumcm-a-problem-patterns.md
- Code to paper:
references/code-to-paper.md, references/result-tracking.md
- Paper writing:
references/paper-writing.md, references/paper-assembly.md
- Abstract:
agents/abstract_writer.md
- Review:
references/final-review.md, references/final-checklist.md
- Maintenance:
references/maintenance.md
Role cards live in agents/. Use them when entering that stage:
problem parser, coordinator, modeler, coder, writer, assembler, abstract writer,
and reviewer.
Non-Negotiables
- Create or update
paper/main.tex for solved subquestions, full-problem
solving, paper writing/revision, code/result-to-paper work, and any validation
or review fix that changes paper-facing claims.
- Planning-only tasks such as problem parsing, route comparison, candidate model
brainstorming, or pre-solve derivation may stop at
problem/, modeling/,
or results/, but must state what would later enter the paper.
- Never split the contest-paper deliverable into
paper/sections/*.tex.
- Standard output folders are
problem/, data/, modeling/, src/,
tables/, figures/, results/, and paper/.
- Use
data/, not date/, for raw, cleaned, and processed data.
- Flowcharts and technical roadmaps are GPT-image paper figures.
- Paper figures default to the bundled Chinese font assets under
assets/fonts/.
- Do not write final numbers without a saved, traceable source.
- Final paper-facing numeric display must use at most two decimal places in
paper/main.tex, final tables embedded in the paper, and output figures
intended for the paper. Intermediate result files, source tables, logs, and
validation records may keep higher precision for traceability, but the final
prose, captions, tables, and visible figure labels must not show more than two
decimal places.
- Do not let
modeling/qx_modeling_idea.md collapse into a formula list; every
solved question needs a section such as “逐步建模推导” explaining how the
model is built from the problem facts, in prose a beginner can follow.
- Do not let code exist only in
src/. Every solved question needs a detailed
“代码建模流程” section in modeling/qx_modeling_idea.md that maps data,
variables, formulas, constraints, loops/solvers, intermediate checks, outputs,
and figures to the actual implementation.
- Do not stop at generic contest methods when a mechanism-based mathematical
model is justified. For physics, supply-chain, PDE/ODE, stochastic, network,
control, or causal tasks, consider whether a deeper mathematical model can be
used as the main model, correction model, or validation model.
- Do not force advanced mathematics for decoration. Every advanced model must
have variables, assumptions, equations, parameter sources, numerical solution
steps, and validation or boundary checks that can be written into the paper.
- Do not report optimality without solver status and feasibility checks.
- Do not claim high accuracy without metrics or a baseline.
- Do not leave placeholders in final deliverables unless the user asked for a draft.
- Treat terse requests such as “帮我求解第一问”, “做 Q1”, “帮我写论文”, and
“检查一下” as complete intent shortcuts using
prompts/intent-map.md.
Do not ask the user to write long prompts and do not lower quality because
the prompt is short.
- Every CUMCM run defaults to first-prize-oriented standards: perform official
benchmark comparison and critical gate checks for core mechanism, validation,
traceability, and paper readiness. Do not call the work complete,
first-prize-level, or award-ready if any critical gate is missing.