arXiv:2605.19931cs.CVcs.AI2026-05

用物理约束联合建模林分结构与生物量,解决遥感数据缺失不随机问题。

StruMPL: Multi-task Dense Regression under Disjoint Partial Supervision and MNAR Labels

论文配图:StruMPL: Multi-task Dense Regression under Disjoint Partial Supervision and MNAR Labels
图 1 · 摘自论文原文
  • 共享编码器+可学习物理模块,联合估计结构与生物量。
  • 在两种生态区,生物量均方误差降低,高生物量偏差减少54%。
  • 适合处理标签不完整且缺失非随机的遥感多任务回归任务。

从地球观测数据估算森林地上生物量(AGB)面临两种结构不兼容的标签源:星载激光雷达在数百万点提供冠层结构但无生物量数据,地面样地提供数千个有偏的生物量数据但无结构指标。单个训练样本无法同时拥有所有目标变量标签,样地标签缺失不随机(MNAR),且生物量与结构变量间存在已知但依赖生物群落的异速生长关系。本文将此问题形式化为具有异质性、部分监督和MNAR标签的多任务密集回归,并提出StruMPL方法协同解决。模型采用共享编码器,分别输出各变量的回归、插补及倾向性预测头,用于空间上修正MNAR偏差;并引入可学习物理模块,在每个像素评估模型预测对跨任务物理约束的满足程度。监督损失采用带停止梯度的增强型逆概率加权(AIPW)伪结果,理论上与实证表明两者均对联合优化收敛至加权稳定点至关重要,且保证损失有界。在两个生态差异显著的生物群落上,StruMPL优于消融实验版本及现有最先进方法,在生物量均方根误差与偏差上表现更优,分层分析显示AIPW使高生物量区域偏差降低约54%。

原文摘要 · Abstract (English)

Estimating forest aboveground biomass (AGB) from Earth observation combines two structurally incompatible label sources: spaceborne lidar provides canopy structure at millions of locations but no biomass estimate, and ground-based plots provide biomass at thousands of biased locations but no metrics of structure. No single training sample carries labels for all target variables, plot labels are missing not at random (MNAR), and biomass is linked to the structural variables by known but biome-specific allometric laws. We formalise this as multi-task dense regression under heterogeneous disjoint partial supervision with MNAR labels and inter-task physical constraints, and propose StruMPL to address it jointly. A shared encoder feeds per-variable regression, imputation, and propensity heads for spatial MNAR correction, and a learnable physics module that evaluates the inter-task constraint on the model's own predictions at every pixel. The supervised loss uses an Augmented IPW (AIPW) pseudo-outcome with stop-gradients on the propensity and on the imputation baseline; we show analytically and empirically that both are necessary for joint optimisation to recover IPW-weighted stationary points while keeping the loss bounded. On two ecologically distinct biomes, StruMPL outperforms ablation variants and the closest published method on AGB RMSE and bias, with a stratified analysis showing AIPW reduces high-AGB bias by ~54%.

多任务学习遥感缺失数据生物量估计

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