theory-design
SolidDesign a coherent theoretical framework for a new statistics / ML theory research topic, paper-type aware. Three modes — Theory paper (explain phenomena or provide new theoretical tools), Methodology paper (propose a new method with theoretical guarantees), Application paper (apply existing methods to scientific data with assumption verification). Each mode walks a different logical order: the centerpiece of a theory paper is the theorem itself, of a methodology paper the estimator, of an application paper the empirical findings. Mandatory literature anchoring step (recent top-venue papers) identifies the field's theoretical inertia and positioning options BEFORE any phase decision, then constrains every subsequent decision. Produces FRAMEWORK_DESIGN.md + LITERATURE_ANCHOR.md that downstream skills (proof-writer, theory-simulation, proofcheck) consume. Use when user says "design theory framework", "理论框架设计", "新课题怎么开始", "新方向 design", "from scratch theory", "构建理论框架", "start a new topic", or asks for the logical
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Quality Score: 84/100
Skill Content
Details
- Author
- gyf9712
- Repository
- gyf9712/stat-theory-skills
- Created
- 2 months ago
- Last Updated
- today
- Language
- Python
- License
- MIT
Similar Skills
Semantically similar based on skill content — not just same category
theory-sharpen
Systematically assess whether a paper's theoretical results can be strengthened: relax assumptions, sharpen rates, align theory with model and experiments, and benchmark against state-of-the-art literature. Use when user says "sharpen theory", "strengthen results", "relax assumptions", "improve rates", "理论提升", "放宽假设", "优化rate", "theory alignment", "理论对齐", or wants to go beyond proof correctness toward theoretical optimality and practical relevance.
theory-simulation
Bridge between theoretical results and Monte Carlo simulation, built to top-stat-journal standards (AoS, JASA, JRSS-B, Biometrika, Bernoulli). Two modes: (1) DESIGN mode — for each theoretical claim, design new simulations that verify rates, coverage, stress-test assumptions, and reveal theory-improvement opportunities; (2) AUDIT mode — when the paper already has simulations, evaluate whether they actually verify the theorems, identify claim-coverage gaps and adequacy flaws, and propose targeted improvements (extend / add / reformat) rather than full redesign. Produces publication-grade figures (no titles, content in caption, color-blind safe) and feeds findings back to refine theory. Use when user says "simulation plan", "Monte Carlo", "验证理论", "审查 simulation", "audit simulation", "模拟实验", "已有 simulation 检查", "stress test theory", "bridge simulation", "rate verification", or wants reproducible stat-journal simulations tied to theorems.
methodology-draft
研究设计初稿(乔淼PhD · AI学术训练营 · AI学术工作流 · 研究设计步骤)。把选定的研究设计方案展开为完整研究设计:B1 全局方法决策 → B2 方法论段骨架(6 维度表)→ B3 可执行设计清单(抽样矩阵/访谈提纲或问卷/编码书或统计链/信效度伦理/时间线)→ B4 合成干净版 Sec 4 方法论 draft,落两份分离文件(初稿 + 设计说明)。Trigger on:"展开研究设计初稿"、"写方法论初稿"、"把选定方案变成研究设计"、"draft my methodology section"。