arXiv Machine Learning By Sambit Mishra, Urbashi Mitra

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

Read the original on arXiv Machine Learning →

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.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at arXiv Machine Learning.

arXiv Machine Learning
Sep 18

Epidemiological Causal Graph Identification: Challenges, Identifiability and Algorithms

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.

By Sambit Mishra, Yingying Wang, Christine K. Johnson, Urbashi Mitra
arXiv Machine Learning
Jun 30

Towards Complete Causal Explanation with Expert Knowledge

arXiv:2407. 07338v4 Announce Type: replace-cross Abstract: We study the problem of restricting a Markov equivalence class of maximal ancestral graphs (MAGs) to only those MAGs that contain certain edge marks, which we refer to as expert or orientation knowledge.

By Aparajithan Venkateswaran, Emilija Perkovi\'c