用条件学习方法更准确地推断疫情传播力变化,适应干预和行为改变。
Conditional Inverse Learning of Time-Varying Reproduction Numbers Inference
- 通过历史数据与时间信息映射,学习传播数的隐变量表示。
- 在真实SARS和新冠数据上,比传统方法更早发现传播模式突变。
- 适合需要快速响应疫情变化的研究者和公共卫生决策者。
从传染病发病率数据中估计随时间变化的再生数是疫情监测的核心任务,但这是一个本质上不适定的逆问题。现有方法通常依赖流行病学模型中的强结构假设,难以适应干预或行为改变带来的非平稳传播动态,导致对传播模式突变的检测延迟和估计精度下降。本文提出条件逆再生学习框架(CIRL),通过学习从历史发病率模式和显式时间信息到潜变量再生数的条件映射来解决该逆问题。不强制施加参数化约束,而是以再生方程作为前向算子,软性整合流行病学结构与基于似然的统计建模,实现动态一致性。该框架结合了流行病学先验与数据驱动的时间表征,在噪声观测下仍保持稳健,同时对突发传播变化和零膨胀发病率具有高响应性。在具有可控模式切换的合成疫情及真实世界SARS和COVID-19数据上的实验验证了该方法的有效性。
原文摘要 · Abstract (English)
Estimating time-varying reproduction numbers from epidemic incidence data is a central task in infectious disease surveillance, yet it poses an inherently ill-posed inverse problem. Existing approaches often rely on strong structural assumptions derived from epidemiological models, which can limit their ability to adapt to non-stationary transmission dynamics induced by interventions or behavioral changes, leading to delayed detection of regime shifts and degraded estimation accuracy. In this work, we propose a Conditional Inverse Reproduction Learning framework (CIRL) that addresses the inverse problem by learning a {conditional mapping} from historical incidence patterns and explicit time information to latent reproduction numbers. Rather than imposing strongly enforced parametric constraints, CIRL softly integrates epidemiological structure with flexible likelihood-based statistical modeling, using the renewal equation as a forward operator to enforce dynamical consistency. The resulting framework combines epidemiologically grounded constraints with data-driven temporal representations, producing reproduction number estimates that are robust to observation noise while remaining responsive to abrupt transmission changes and zero-inflated incidence observations. Experiments on synthetic epidemics with controlled regime changes and real-world SARS and COVID-19 data demonstrate the effectiveness of the proposed approach.
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