Enabling Causal Discovery in Post-Nonlinear Models with Normalizing Flows

التفاصيل البيبلوغرافية
العنوان: Enabling Causal Discovery in Post-Nonlinear Models with Normalizing Flows
المؤلفون: Hoang, Nu, Duong, Bao, Nguyen, Thin
سنة النشر: 2024
المجموعة: Computer Science
Statistics
مصطلحات موضوعية: Computer Science - Machine Learning, Computer Science - Artificial Intelligence, Statistics - Methodology
الوصف: Post-nonlinear (PNL) causal models stand out as a versatile and adaptable framework for modeling intricate causal relationships. However, accurately capturing the invertibility constraint required in PNL models remains challenging in existing studies. To address this problem, we introduce CAF-PoNo (Causal discovery via Normalizing Flows for Post-Nonlinear models), harnessing the power of the normalizing flows architecture to enforce the crucial invertibility constraint in PNL models. Through normalizing flows, our method precisely reconstructs the hidden noise, which plays a vital role in cause-effect identification through statistical independence testing. Furthermore, the proposed approach exhibits remarkable extensibility, as it can be seamlessly expanded to facilitate multivariate causal discovery via causal order identification, empowering us to efficiently unravel complex causal relationships. Extensive experimental evaluations on both simulated and real datasets consistently demonstrate that the proposed method outperforms several state-of-the-art approaches in both bivariate and multivariate causal discovery tasks.
Comment: Acepted at ECAI 2024
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.04980
رقم الأكسشن: edsarx.2407.04980
قاعدة البيانات: arXiv