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Causal graphs may inform covariate adjustment for estimating causal effects and improve estimation efficiency by exploiting the graphical structure. In many applications, however, the target causal parameter may not be point-identified due…

Causal Models are like Dependency Graphs and Belief Nets in that they provide a structure and a set of assumptions from which a joint distribution can, in principle, be computed. Unlike Dependency Graphs, Causal Models are models of…

Artificial Intelligence · Computer Science 2013-03-08 John F. Lemmer

Causal structures for observational survival data provide crucial information regarding the relationships between covariates and time-to-event. We derive motivation from the information theoretic source coding argument, and show that…

Machine Learning · Computer Science 2021-11-03 Ansh Kumar Sharma , Rahul Kukreja , Ranjitha Prasad , Shilpa Rao

The fundamental challenge in causal induction is to infer the underlying graph structure given observational and/or interventional data. Most existing causal induction algorithms operate by generating candidate graphs and evaluating them…

There is a brief description of the probabilistic causal graph model for representing, reasoning with, and learning causal structure using Bayesian networks. It is then argued that this model is closely related to how humans reason with and…

Artificial Intelligence · Computer Science 2013-02-08 Scott B. Morris , Doug Cork , Richard E. Neapolitan

Counterfactual explanations promote explainability in machine learning models by answering the question "how should an input instance be perturbed to obtain a desired predicted label?". The comparison of this instance before and after…

Machine Learning · Computer Science 2022-11-09 Jing Ma , Ruocheng Guo , Saumitra Mishra , Aidong Zhang , Jundong Li

The use of directed acyclic graphs (DAGs) to represent conditional independence relations among random variables has proved fruitful in a variety of ways. Recursive structural equation models are one kind of DAG model. However,…

Artificial Intelligence · Computer Science 2013-02-21 Peter L. Spirtes

Causal models in statistics are often described using acyclic directed mixed graphs (ADMGs), which contain directed and bidirected edges and no directed cycles. This article surveys various interpretations of ADMGs, discusses their…

Statistics Theory · Mathematics 2025-03-28 Qingyuan Zhao

We propose a definition of causality for time series in terms of the effect of an intervention in one component of a multivariate time series on another component at some later point in time. Conditions for identifiability, comparable to…

Methodology · Statistics 2012-06-26 Michael Eichler , Vanessa Didelez

Provenance, or information about the sources, derivation, custody or history of data, has been studied recently in a number of contexts, including databases, scientific workflows and the Semantic Web. Many provenance mechanisms have been…

Programming Languages · Computer Science 2010-04-20 James Cheney

Causal learning is a beneficial approach to analyze the cause and effect relationships among variables in a dataset. A causal graph can be generated from a dataset using a particular causal algorithm, for instance, the PC algorithm or Fast…

Machine Learning · Computer Science 2019-10-09 Teny Handhayani , James Cussens

Unobserved confounding is a major hurdle for causal inference from observational data. Confounders---the variables that affect both the causes and the outcome---induce spurious non-causal correlations between the two. Wang & Blei (2018)…

Machine Learning · Statistics 2019-05-31 Yixin Wang , David M. Blei

Causal reasoning is a cornerstone of how humans interpret the world. To model and reason about causality, causal graphs offer a concise yet effective solution. Given the impressive advancements in language models, a crucial question arises:…

Computation and Language · Computer Science 2024-06-25 Sirui Chen , Mengying Xu , Kun Wang , Xingyu Zeng , Rui Zhao , Shengjie Zhao , Chaochao Lu

This paper develops a fundamental theory of realizations of linear and group codes on general graphs using elementary group theory, including basic group duality theory. Principal new and extended results include: normal realization…

Information Theory · Computer Science 2014-08-05 G. David Forney

The relationship between algebraic geometry and the inferential framework of the Bayesian Networks with hidden variables has now been fruitfully explored and exploited by a number of authors. More recently the algebraic formulation of…

Methodology · Statistics 2007-09-24 Eva Riccomagno , Jim Q Smith

Background: In epidemiology, causal inference and prediction modeling methodologies have been historically distinct. Directed Acyclic Graphs (DAGs) are used to model a priori causal assumptions and inform variable selection strategies for…

Methodology · Statistics 2020-07-03 Marco Piccininni , Stefan Konigorski , Jessica L Rohmann , Tobias Kurth

We present a precise definition of cause and effect in terms of a fundamental notion called unresponsiveness. Our definition is based on Savage's (1954) formulation of decision theory and departs from the traditional view of causation in…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , Ross D. Shachter

We consider the problem of learning a set of direct causes of a target variable from an observational joint distribution. Learning directed acyclic graphs (DAGs) that represent the causal structure is a fundamental problem in science.…

Methodology · Statistics 2025-06-24 Juraj Bodik , Valérie Chavez-Demoulin

In a recent paper published in the Journal of Causal Inference, Philip Dawid has described a graphical causal model based on decision diagrams. This article describes how single-world intervention graphs (SWIGs) relate to these diagrams. In…

Statistics Theory · Mathematics 2023-09-11 Thomas S. Richardson , James M. Robins

We extend Andersson-Madigan-Perlman chain graphs by (i) relaxing the semidirected acyclity constraint so that only directed cycles are forbidden, and (ii) allowing up to two edges between any pair of nodes. We introduce global, and ordered…

Machine Learning · Statistics 2016-02-22 Jose M. Peña
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