arXiv Machine Learning By Sambit Mishra, Yingying Wang, Christine K. Johnson, Urbashi Mitra

Epidemiological Causal Graph Identification: Challenges, Identifiability and Algorithms

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The paper addresses causal discovery in Directed Acyclic Graphs where nodes are either ordinal (modeled with an ordered logit) or follow a one‑parameter exponential family distribution. It proves that the direction of edges between such nodes is identifiable for generic parameter values, extending prior Ordinal‑Poisson results. The authors also propose a score‑based exhaustive search and a masked continuous optimization method using DAGMA, and demonstrate through simulations that these approaches recover orientations that are otherwise unidentifiable under classical structural equation models.

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arXiv Machine Learning
Sep 22

Decoupled Causal Discovery

arXiv:2609.23535v1 Announce Type: new Abstract: Causal discovery from observational data is a fundamental yet challenging task in scientific research. While existing approaches are primarily based on...

By Zhengkang Guan, Fei Wu, Kun Kuang
arXiv Machine Learning
Sep 17

On the Identifiability of Mixed Ordinal and Exponential Family Causal DAGs under Linear Parametric Models

The paper investigates identifiability in linear parametric models where variables follow either an ordered logit or a one‑parameter exponential family distribution. It proves that the direction of every edge linking an ordinal node to an exponential‑family node can be determined from the joint distribution, provided each node has at least three categories or support points, respectively. Numerical experiments confirm that these orientations can be distinguished even when conditional independence tests cannot separate them.

By Sambit Mishra, Urbashi Mitra