arXiv:2606.29386cs.LG2026-06

用速度场雅可比正则化实现胰岛素与碳水的精准干预预测。

Interventional Flow Matching: Prospective Dose-Response Forecasting with Velocity-Field Jacobian Regularization

  • 基于速度场雅可比正则化,建模治疗剂量对血糖的局部敏感性。
  • 在模拟1型糖尿病数据上,同时优化观测误差与干预响应准确性。
  • 适合需要可靠治疗决策支持的临床智能系统研发者。

预测患者在计划治疗序列下的生理轨迹是前瞻性干预问题,而非标准时间序列外推。本文以血糖管理为例,指出胰岛素与碳水摄入记录具有策略依赖性:未来驱动因素与患者状态、行为及临床决策规则耦合,仅依靠观测预测精度无法保证对计划干预的正确响应。我们提出干预式流匹配(Interventional Flow Matching, IFM),一种连续时间生成框架,用于生理约束下的前瞻性预测。IFM 在有界隐空间中,将流匹配速度场条件于患者历史与未来计划的治疗驱动。不同于嵌入严格的葡萄糖-胰岛素微分方程或通过滚动模拟强制因果关系,IFM 采用无求解器正则化:惩罚速度场对平滑治疗驱动的雅可比矩阵。该机制直接施加符号明确、剂量受限的局部敏感性——胰岛素降低血糖,碳水升高血糖,且响应保持在合理范围。在模拟的UVA/Padova 1型糖尿病队列上,IFM 在观测驱动均方根误差与干预响应指标间取得最佳平衡。实验表明,其始终能产生符合生理学规律的胰岛素与碳水响应,同时保持高方向性和排序一致性。

原文摘要 · Abstract (English)

Predicting a patient's physiological trajectory under a planned treatment sequence is a prospective interventional problem, not standard time-series extrapolation. We study this problem in glucose management, where insulin and carbohydrate records are policy-dependent: future drivers are coupled to patient state, behavior, and clinical decision rules, so observational forecasting accuracy alone does not guarantee correct responses to planned interventions. We introduce Interventional Flow Matching (IFM), a continuous-time generative framework for physiologically constrained prospective forecasting. IFM conditions a flow-matching velocity field on patient history and planned future drivers in a bounded latent glucose space. Rather than embedding strict mechanistic glucose--insulin ODE equations or enforcing causality through rollout-based simulations, IFM uses a solver-free regularization: it penalizes the Jacobian of the instantaneous velocity field with respect to smoothed treatment drivers. This imposes signed, dose-bounded local sensitivities directly on the learned dynamics: insulin lowers glucose, carbohydrates raise it, and both responses remain within plausible ranges. On a simulated UVA/Padova type 1 diabetes cohort, IFM achieves the strongest balance between observed-driver RMSE and interventional response metrics. Across experiments, it consistently produces physiologically correct responses to both insulin and carbohydrate drivers while maintaining high directional, and ranking consistency.

干预预测流匹配血糖管理雅可比正则

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