Estimating causal effects from observational network data is a significant
but challenging problem. Existing works in causal inference for observational
network data lack an analysis of the generalization bound, which can
theoretically provide support for alleviating the complex confounding bias and
practically guide the design of learning objectives in a principled manner. To
fill this gap, we derive a generalization bound for causal effect estimation in
network scenarios by exploiting 1) the reweighting schema based on joint
propensity score and 2) the representation learning schema based on Integral
Probability Metric (IPM). We provide two perspectives on the generalization
bound in terms of reweighting and representation learning, respectively.
Motivated by the analysis of the bound, we propose a weighting regression
method based on the joint propensity score augmented with representation
learning. Extensive experimental studies on two real-world networks with
semi-synthetic data demonstrate the effectiveness of our algorithm.

通过利用基于联合倾向性评分的重新加权模式和基于积分概率度量的表示学习模式，在网络情景中推导出因果效应估计的泛化界限，从而支持减轻复杂的混淆偏差并在原则性上指导学习目标的设计，通过分析泛化界限提出一种基于联合倾向性评分和表示学习的加权回归方法，并在两个真实网络的半合成数据上进行广泛实验，验证了算法的有效性。