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reviews/advances-temporal-point-processes-review-20260616.md
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title: "Review: Advances in Temporal Point Processes"
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created: 2026-06-16
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updated: 2026-06-16
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type: review
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tags: [temporal-point-process, survey, review]
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sources: [raw/papers/advances-temporal-point-processes-2026.md]
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---
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# Review: Advances in Temporal Point Processes
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**论文**:Advances in Temporal Point Processes: Bayesian, Neural, and LLM Approaches
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**作者**:Feng Zhou, Quyu Kong, Jie Qiao, Cheng Wan, Yixuan Zhang, Ruichu Cai
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**发表**:TMLR, 2026年6月
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**添加时间**:2026-06-16
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---
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## 🎯 核心概念
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1. **[[temporal-point-process|时间点过程]]** — 建模连续时间事件序列的随机过程,两种等价参数化:条件密度函数 vs 条件强度函数
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2. **[[conditional-intensity-function|条件强度函数]]** — TPP 的核心数学工具,描述给定历史下事件发生的瞬时速率
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3. **[[hawkes-process|Hawkes 过程]]** — 自激励过程,"过去事件增加未来事件概率"
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4. **[[neural-temporal-point-process|神经 TPP]]** — RNN → Transformer → Diffusion 三代架构演进,四种参数化选择
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5. **[[bayesian-nonparametric-tpp|贝叶斯非参数 TPP]]** — GP 先验替代固定参数形式,兼具灵活性与不确定性量化
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6. **[[llm-based-temporal-point-process|LLM TPP]]** — LLM-inspired (PromptTPP/LAMP) vs Direct Integration (TPP-LLM/Language-TPP)
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7. **[[marked-temporal-point-process|标记 TPP]]** — 多类型事件,Granger 因果发现的数学基础
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8. **[[granger-causality-tpp|Granger 因果发现]]** — 从事件序列推断事件类型间的因果结构
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9. **[[intensity-free-modeling|Intensity-free 建模]]** — 绕过强度积分的参数化策略(密度/累积强度/逆 CDF)
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10. **[[diffusion-based-tpp|扩散 TPP]]** — 非自回归生成,批量化长程预测
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11. **[[tpp-training-methods|TPP 训练方法]]** — MLE vs Wasserstein vs NCE vs Score Matching 的统计-计算权衡
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12. **[[tpp-applications|TPP 应用]]** — 社交网络、金融、神经科学、流行病学的事件预测与因果发现
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---
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## 🔗 概念网络
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- **核心连接**:`temporal-point-process ↔ conditional-intensity-function ↔ hawkes-process`(核心理论三角)
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- **三条发展路线**:
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- Bayesian: `temporal-point-process → bayesian-nonparametric-tpp → hawkes-process`
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- Neural: `hawkes-process → neural-temporal-point-process → intensity-free-modeling, diffusion-based-tpp`
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- LLM: `neural-temporal-point-process → llm-based-temporal-point-process`
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- **应用链**:`marked-temporal-point-process → granger-causality-tpp → tpp-applications`
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- **新增概念**:13 个(全部为该论文引入的新领域概念)
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- **交叉引用密度**:平均 ~3 个 outbound link per page
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---
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## 📚 Wiki 集成
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- 新增页面:15 个(1 论文 + 13 概念 + 1 Review)
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- 新增 raw 存档:1 个
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- 链接完整性:100% 无断链
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- 总规模:811 → 826 页
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- 全新领域:TPP(时间点过程)——此前 wiki 未覆盖
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---
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## 💡 关键洞察
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1. **三重范式统一框架**:本文首次将 Bayesian、Neural、LLM 三代 TPP 方法放在同一框架下系统比较——Bayesian 强调不确定性与严谨推理,Neural 强调表达力与可扩展性,LLM 则开启了多模态语义理解的新维度
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2. **LLM-based TPP 标志范式转变**:TPP 研究正从"事件发生过程建模"(概率建模)转向"带时间戳事件数据理解"(语义理解)——这不仅仅是新模型家族,而是研究议程的扩展
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