Beyond Additivity: Causal Discovery in Location-Scale Noise Models with Hidden Variables
超越加性:含隐藏变量的位置—尺度噪声模型因果发现
We study causal discovery from observational data when some variables are hidden and the data-generating process follows a location-scale noise model (LSNM). Existing methods that handle hidden confounders typically assume additive noise, but in practice, causes often modulate not just the mean but also the variance of their effects. We prove that acyclic directed mixed graphs (ADMGs) satisfying a bow-free condition are identifiable under LSNM with hidden variables,…