arXiv Statistics ML
4d ago

Identifying Causal Effects Using a Single Proxy Variable

The paper tackles the problem of estimating causal effects when an unobserved confounder is present. It assumes a single, possibly multi‑dimensional proxy variable for the confounder and knowledge of the mechanism that generates this proxy. Under the Single Proxy Identifiability of Causal Effects (SPICE) assumption, the authors prove that the error mechanism is complete and causal effects are identifiable, extending prior proxy‑based results to continuous, multi‑dimensional settings and more flexible functional forms. They also introduce SPICE‑Net, a neural‑network‑based framework for estimating causal effects applicable to both discrete and continuous treatments.

By Silvan Vollmer, Niklas Pfister, Sebastian Weichwald
arXiv Statistics ML
1d ago

Causal Inference in Possibly Nonlinear Factor Models

The paper introduces a causal inference method for treatment effect models where confounders are measured noisily. It leverages many noisy proxies linked to latent confounders through an unknown, possibly nonlinear factor structure, using a local principal subspace approximation that combines K‑nearest‑neighbor matching and principal component analysis. The authors construct doubly‑robust estimators for various causal parameters, establish their large‑sample properties, and provide uniformly consistent estimators of the conditional average treatment effect, illustrated with an empirical study on political connections and stock returns and a Monte Carlo experiment.

By Yingjie Feng