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A题/AAA常用/AI交互所需文件/目录结构.md

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+以下是为您定制的**2026 MCM Problem A** 最终目录结构。该结构严格遵循学术论文规范，完美契合您现有的 `模型3`（微分方程组、电热耦合、Sobol灵敏度、随机过程UQ）的内容深度。
+
+---
+
+### 中文目录结构 (Chinese Version)
+
+**目录**
+
+**1. 引言 (Introduction)**
+   1.1 问题背景与重述 (Background and Problem Restatement)
+   1.2 文献综述 (Literature Review)
+   1.3 本文工作与创新点 (Our Contributions)
+
+**2. 假设与符号说明 (Assumptions and Notations)**
+   2.1 基本假设与物理依据 (General Assumptions and Physical Justifications)
+   2.2 符号约定 (Notations)
+
+**3. 连续时间电-热-老化耦合模型的构建 (Model Formulation)**
+   3.1 状态空间定义：从SOC到极化电压 (State-Space Definition: From SOC to Polarization)
+   3.2 多物理场功率映射机制 (Multiphysics Power Mapping)
+       3.2.1 屏幕与处理器的非线性功耗 (Nonlinear Power of Screen and CPU)
+       3.2.2 考虑信号质量惩罚与射频拖尾的网络模型 (Network Model with Signal Penalty and Radio Tail)
+   3.3 电化学-热力学耦合动力学 (Electrochemical-Thermal Coupled Dynamics)
+       3.3.1 改进的Shepherd电压模型 (Modified Shepherd Voltage Model)
+       3.3.2 集总参数热平衡方程 (Lumped-Parameter Thermal Balance Equation)
+   3.4 恒功率负载(CPL)下的电流闭环与电压坍塌条件 (Current Closure and Voltage Collapse under CPL)
+
+**4. 参数辨识与验证 (Parameter Estimation and Validation)**
+   4.1 混合参数估计算法 (Hybrid Parameter Estimation Strategy)
+   4.2 基准工况下的模型验证 (Model Validation under Baseline Scenarios)
+
+**5. 电池耗尽时间(TTE)预测与场景分析 (TTE Prediction and Scenario Analysis)**
+   5.1 五种典型用户场景的TTE量化 (Quantification of TTE in Five Typical Scenarios)
+   5.2 关键耗电驱动因子分析 (Analysis of Key Drivers for Battery Drain)
+       5.2.1 信号质量对功耗的非线性放大效应 (Nonlinear Amplification of Signal Quality)
+       5.2.2 环境温度对有效容量的制约 (Constraints of Ambient Temperature on Effective Capacity)
+
+**6. 模型评估：误差分析、灵敏度与不确定性量化 (Model Evaluation: Error, Sensitivity, and UQ)**
+   6.1 误差来源分类与确定性验证 (Taxonomy of Errors and Deterministic Validation)
+   6.2 基于Sobol指数的全局灵敏度分析 (Global Sensitivity Analysis via Sobol Indices)
+   6.3 基于Ornstein-Uhlenbeck过程的不确定性量化 (Uncertainty Quantification via Ornstein-Uhlenbeck Process)
+   6.4 极端条件下的压力测试 (Stress Testing under Extreme Conditions)
+
+**7. 策略建议 (Recommendations)**
+   7.1 面向用户的行为优化指南 (User-Centric Optimization Guide)
+   7.2 面向操作系统的智能调度策略 (OS-Level Intelligent Scheduling Strategy)
+
+**8. 结论 (Conclusion)**
+   8.1 模型总结 (Summary of the Model)
+   8.2 优势与局限性 (Strengths and Limitations)
+   8.3 未来工作展望 (Future Work)
+
+**参考文献 (References)**
+**附录 (Appendices)**
+
+---
+
+### 英文目录结构 (English Version)
+
+**Table of Contents**
+
+**1. Introduction**
+   1.1 Background and Problem Restatement
+   1.2 Literature Review
+   1.3 Our Contributions
+
+**2. Assumptions and Notations**
+   2.1 General Assumptions and Physical Justifications
+   2.2 Notations
+
+**3. Formulation of the Continuous-Time Electro-Thermal-Aging Model**
+   3.1 State-Space Definition: From SOC to Polarization
+   3.2 Multiphysics Power Mapping Mechanism
+       3.2.1 Nonlinear Power Consumption of Screen and CPU
+       3.2.2 Network Model with Signal Penalty and Radio Tail Dynamics
+   3.3 Electrochemical-Thermal Coupled Dynamics
+       3.3.1 Modified Shepherd Voltage Model
+       3.3.2 Lumped-Parameter Thermal Balance Equation
+   3.4 Current Closure and Voltage Collapse Conditions under Constant Power Load (CPL)
+
+**4. Parameter Estimation and Validation**
+   4.1 Hybrid Parameter Estimation Strategy
+   4.2 Model Validation under Baseline Scenarios
+
+**5. Time-to-Empty (TTE) Prediction and Scenario Analysis**
+   5.1 Quantification of TTE in Five Typical User Scenarios
+   5.2 Analysis of Key Drivers for Battery Drain
+       5.2.1 Nonlinear Amplification Effect of Signal Quality
+       5.2.2 Constraints of Ambient Temperature on Effective Capacity
+
+**6. Model Evaluation: Error Analysis, Sensitivity, and Uncertainty Quantification**
+   6.1 Taxonomy of Errors and Deterministic Validation
+   6.2 Global Sensitivity Analysis via Sobol Indices
+   6.3 Uncertainty Quantification via Ornstein-Uhlenbeck Stochastic Processes
+   6.4 Stress Testing under Extreme Conditions
+
+**7. Recommendations**
+   7.1 User-Centric Optimization Guide
+   7.2 OS-Level Intelligent Scheduling Strategy
+
+**8. Conclusion**
+   8.1 Summary of the Model
+   8.2 Strengths and Limitations
+   8.3 Future Work
+
+**References**
+**Appendices**
+
+---
+
+### 结构设计亮点说明 (Design Highlights)
+
+1.  **Section 3 (Model Formulation)**:
+    *   使用了 **"Electro-Thermal-Aging"** 和 **"Multiphysics"** 这样的词汇，强调了模型的物理深度。
+    *   特意提到了 **"Radio Tail" (射频拖尾)** 和 **"CPL" (恒功率负载)**，这是你模型中区别于普通线性模型的两大亮点，必须在目录中体现。
+
+2.  **Section 5 (TTE Prediction)**:
+    *   将单纯的“计算结果”提升为 **"Scenario Analysis" (场景分析)**。
+    *   明确列出 **"Signal Penalty" (信号惩罚)** 和 **"Temperature Constraints" (温度约束)**，直接回应题目关于“哪些因素导致电量快速耗尽”的提问。
+
+3.  **Section 6 (Model Evaluation)**:
+    *   这是最能体现数学建模水平的章节。使用了 **"Sobol Indices"** (全局灵敏度) 和 **"Ornstein-Uhlenbeck Process"** (随机过程)，展示了你对不确定性量化 (UQ) 的高级处理方法，远超一般的误差分析。
+
+4.  **逻辑流**:
+    *   从物理机理 (Sec 3) -> 参数确定 (Sec 4) -> 实际应用 (Sec 5) -> 鲁棒性评估 (Sec 6) -> 最终建议 (Sec 7)，逻辑链条非常清晰严密。