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We present a non-parametric Bayesian approach to structure learning with hidden causes. Previous Bayesian treatments of this problem define a prior over the number of hidden causes and use algorithms such as reversible jump Markov chain…

Machine Learning · Computer Science 2012-07-02 Frank Wood , Thomas Griffiths , Zoubin Ghahramani

Recovering a unique causal graph from observational data is an ill-posed problem because multiple generating mechanisms can lead to the same observational distribution. This problem becomes solvable only by exploiting specific structural or…

Machine Learning · Computer Science 2026-02-09 Ameya Rathod , Sujay Belsare , Salvik Krishna Nautiyal , Dhruv Laad , Ponnurangam Kumaraguru

Discovering the causal effect of a decision is critical to nearly all forms of decision-making. In particular, it is a key quantity in drug development, in crafting government policy, and when implementing a real-world machine learning…

Machine Learning · Computer Science 2020-03-04 Limor Gultchin , Matt J. Kusner , Varun Kanade , Ricardo Silva

The assumption that data samples are independent and identically distributed (iid) is standard in many areas of statistics and machine learning. Nevertheless, in some settings, such as social networks, infectious disease modeling, and…

Methodology · Statistics 2019-02-06 Eli Sherman , Ilya Shpitser

Bayesian causal discovery benefits from prior information elicited from domain experts, and in heterogeneous domains any prior knowledge would be badly needed. However, so far prior elicitation approaches have assumed a single causal graph…

Machine Learning · Computer Science 2026-04-30 Zachris Björkman , Jorge Loría , Sophie Wharrie , Samuel Kaski

Real-life statistical samples are often plagued by selection bias, which complicates drawing conclusions about the general population. When learning causal relationships between the variables is of interest, the sample may be assumed to be…

Statistics Theory · Mathematics 2018-11-15 Angelos P. Armen , Robin J. Evans

Confounder selection, namely choosing a set of covariates to control for confounding between a treatment and an outcome, is arguably the most important step in the design of an observational study. Previous methods, such as Pearl's…

Methodology · Statistics 2026-03-24 F. Richard Guo , Qingyuan Zhao

Graphs are commonly used to represent and visualize causal relations. For a small number of variables, this approach provides a succinct and clear view of the scenario at hand. As the number of variables under study increases, the graphical…

Machine Learning · Statistics 2023-08-16 Santtu Tikka , Jouni Helske , Juha Karvanen

While observational data are routinely used to estimate causal effects of biomedical treatments, doing so requires special methods to adjust for observed confounding. These methods invariably rely on untestable statistical and causal…

Methodology · Statistics 2026-03-02 Arman Oganisian

Gaussian graphical models are a popular tool to learn the dependence structure in the form of a graph among variables of interest. Bayesian methods have gained in popularity in the last two decades due to their ability to simultaneously…

Statistics Theory · Mathematics 2019-04-02 Yabo Niu , Debdeep Pati , Bani Mallick

A probabilistic expert system emulates the decision-making ability of a human expert through a directional graphical model. The first step in building such systems is to understand data generation mechanism. To this end, one may try to…

Methodology · Statistics 2021-09-29 Vahid Partovi Nia , Xinlin Li , Masoud Asgharian , Shoubo Hu , Zhitang Chen , Yanhui Geng

Causal discovery from observational data is an important tool in many branches of science. Under certain assumptions it allows scientists to explain phenomena, predict, and make decisions. In the large sample limit, sound and complete…

Machine Learning · Statistics 2021-07-13 Shami Nisimov , Yaniv Gurwicz , Raanan Y. Rohekar , Gal Novik

A growing family of approaches to causal inference rely on Bayesian formulations of assumptions that go beyond causal graph structure. For example, Bayesian approaches have been developed for analyzing instrumental variable designs,…

Machine Learning · Computer Science 2022-11-01 Sam Witty , David Jensen , Vikash Mansinghka

Most existing debiasing methods for multimodal models, including causal intervention and inference methods, utilize approximate heuristics to represent the biases, such as shallow features from early stages of training or unimodal features…

Machine Learning · Computer Science 2023-11-29 Vaidehi Patil , Adyasha Maharana , Mohit Bansal

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…

Modeling complex spatiotemporal dependencies in correlated traffic series is essential for traffic prediction. While recent works have shown improved prediction performance by using neural networks to extract spatiotemporal correlations,…

Machine Learning · Computer Science 2023-09-08 Junpeng Lin , Ziyue Li , Zhishuai Li , Lei Bai , Rui Zhao , Chen Zhang

We address the common yet often-overlooked selection bias in interventional studies, where subjects are selectively enrolled into experiments. For instance, participants in a drug trial are usually patients of the relevant disease; A/B…

Machine Learning · Computer Science 2025-03-11 Haoyue Dai , Ignavier Ng , Jianle Sun , Zeyu Tang , Gongxu Luo , Xinshuai Dong , Peter Spirtes , Kun Zhang

Given data sampled from a number of variables, one is often interested in the underlying causal relationships in the form of a directed acyclic graph. In the general case, without interventions on some of the variables it is only possible…

Machine Learning · Statistics 2017-12-05 Christopher Nowzohour , Peter Bühlmann

Graph-based recommender systems leverage neighborhood aggregation to generate node representations, which is highly sensitive to popularity bias, resulting in an echo effect during information propagation. Existing graph-based debiasing…

Information Retrieval · Computer Science 2025-10-07 Yue Que , Yingyi Zhang , Xiangyu Zhao , Chen Ma

Discrete Bayesian Networks have been very successful as a framework both for inference and for expressing certain causal hypotheses. In this paper we present a class of graphical models called the chain event graph (CEG) models, that…

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