arXiv Statistics ML

Notes on Forr\'e's Notion of Conditional Independence and Causal Calculus for Continuous Variables

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
arXiv AI
Jul 21

A Causal Markov Condition for Value

arXiv:2607. 16717v1 Announce Type: cross Abstract: This paper proposes a causal independence principle for value -- the value Causal Markov Condition (v-CMC) -- and develops the conceptual and mathematical foundations of a "causal value theory" linking causality and utility.

By Olav Benjamin Vassend
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 AI
Jul 16

Verifying formulas for interventional distributions

arXiv:2607. 13883v1 Announce Type: cross Abstract: We formalize verification in causal graphical models: deciding whether a given observational formula identifies a target interventional distribution.

By Francesco Freni, Leonard Henckel, Sebastian Weichwald
arXiv AI
Aug 26

Partial Identification under Causal Orders by Linear Programming

The paper presents a method for partially identifying counterfactual queries without requiring a fully specified causal graph. By exploiting the topological ordering implied by the query itself, the authors transform the identification problem into a linear programming task, enabling bounds on arbitrary counterfactual and nested counterfactual queries. They demonstrate the tightness of these bounds and illustrate the approach on several case studies, showing its usefulness even when causal knowledge is incomplete.

By Eric Rossetto, Alessandro Antonucci