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Causal structure learning refers to a process of identifying causal structures from observational data, and it can have multiple applications in biomedicine and health care. This paper provides a practical review and tutorial on scalable…

Machine Learning · Computer Science 2023-01-20 Pulakesh Upadhyaya , Kai Zhang , Can Li , Xiaoqian Jiang , Yejin Kim

Causal Structure Learning (CSL), also referred to as causal discovery, amounts to extracting causal relations among variables in data. CSL enables the estimation of causal effects from observational data alone, avoiding the need to perform…

Machine Learning · Computer Science 2025-02-12 Fabrizio Russo , Francesca Toni

Learning the causal structure behind data is invaluable for improving generalization and obtaining high-quality explanations. We propose a novel framework, Invariant Structure Learning (ISL), that is designed to improve causal structure…

Machine Learning · Computer Science 2022-06-15 Yunhao Ge , Sercan Ö. Arik , Jinsung Yoon , Ao Xu , Laurent Itti , Tomas Pfister

Most existing causal structure learning methods assume data collected from one environment and independent and identically distributed (i.i.d.). In some cases, data are collected from different subjects from multiple environments, which…

Machine Learning · Computer Science 2023-02-07 Wei Chen , Yunjin Wu , Ruichu Cai , Yueguo Chen , Zhifeng Hao

Causal discovery from observational data is pivotal for deciphering complex relationships. Causal Structure Learning (CSL), which focuses on deriving causal Directed Acyclic Graphs (DAGs) from data, faces challenges due to vast DAG spaces…

Artificial Intelligence · Computer Science 2023-11-21 Taiyu Ban , Lyuzhou Chen , Derui Lyu , Xiangyu Wang , Huanhuan Chen

Causal structure learning (CSL), a prominent technique for encoding cause-and-effect relationships among variables, through Bayesian Networks (BNs). Although recovering causal structure solely from data is a challenge, the integration of…

Machine Learning · Computer Science 2025-10-22 Lyuzhou Chen , Taiyu Ban , Xiangyu Wang , Derui Lyu , Huanhuan Chen

Causal structure learning (CSL) refers to the task of learning causal relationships from data. Advances in CSL now allow learning of causal graphs in diverse application domains, which has the potential to facilitate data-driven causal…

Machine Learning · Statistics 2024-07-09 Luka Kovačević , Izzy Newsham , Sach Mukherjee , John Whittaker

Semi-supervised learning (SSL) aims to train a machine learning model using both labelled and unlabelled data. While the unlabelled data have been used in various ways to improve the prediction accuracy, the reason why unlabelled data could…

Machine Learning · Statistics 2025-10-28 Archer Moore , Heejung Shim , Jingge Zhu , Mingming Gong

Causal modeling has long been an attractive topic for many researchers and in recent decades there has seen a surge in theoretical development and discovery algorithms. Generally discovery algorithms can be divided into two approaches:…

Machine Learning · Statistics 2017-02-06 Ridho Rahmadi , Perry Groot , Marianne Heins , Hans Knoop , Tom Heskes

Unveil, model, and comprehend the causal mechanisms underpinning natural phenomena stand as fundamental endeavors across myriad scientific disciplines. Meanwhile, new knowledge emerges when discovering causal relationships from data.…

Machine Learning · Computer Science 2023-12-13 Jiaxuan Liang , Jun Wang , Guoxian Yu , Shuyin Xia , Guoyin Wang

A vast amount of expert and domain knowledge is captured by causal structural priors, yet there has been little research on testing such priors for generalization and data synthesis purposes. We propose a novel model architecture, Causal…

Machine Learning · Computer Science 2022-11-08 Jeffrey Jiang , Omead Pooladzandi , Sunay Bhat , Gregory Pottie

Understanding causal relations is vital in scientific discovery. The process of causal structure learning involves identifying causal graphs from observational data to understand such relations. Usually, a central server performs this task,…

Machine Learning · Computer Science 2023-12-05 Zhaoyu Wang , Pingchuan Ma , Shuai Wang

The aim in many sciences is to understand the mechanisms that underlie the observed distribution of variables, starting from a set of initial hypotheses. Causal discovery allows us to infer mechanisms as sets of cause and effect…

Machine Learning · Computer Science 2025-03-05 Ashka Shah , Adela DePavia , Nathaniel Hudson , Ian Foster , Rick Stevens

Causal discovery is a structured prediction task that aims to predict causal relations among variables based on their data samples. Supervised Causal Learning (SCL) is an emerging paradigm in this field. Existing Deep Neural Network…

Machine Learning · Computer Science 2025-02-18 Jiaru Zhang , Rui Ding , Qiang Fu , Bojun Huang , Zizhen Deng , Yang Hua , Haibing Guan , Shi Han , Dongmei Zhang

While significant advances exist in pseudo-label generation for semi-supervised semantic segmentation, pseudo-label selection remains understudied. Existing methods typically use fixed confidence thresholds to retain high-confidence…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Pan Liu , Jinshi Liu

Causal structure learning has been a challenging task in the past decades and several mainstream approaches such as constraint- and score-based methods have been studied with theoretical guarantees. Recently, a new approach has transformed…

Machine Learning · Computer Science 2019-11-19 Ignavier Ng , Shengyu Zhu , Zhitang Chen , Zhuangyan Fang

Understanding causal heterogeneity is essential for scientific discovery in domains such as biology and medicine. However, existing methods lack causal awareness, with insufficient modeling of heterogeneity, confounding, and observational…

Machine Learning · Computer Science 2025-10-29 Wenrui Li , Qinghao Zhang , Xiaowo Wang

While the success of semi-supervised learning (SSL) is still not fully understood, Sch\"olkopf et al. (2012) have established a link to the principle of independent causal mechanisms. They conclude that SSL should be impossible when…

Machine Learning · Statistics 2020-06-25 Julius von Kügelgen , Alexander Mey , Marco Loog , Bernhard Schölkopf

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

We propose a new method of discovering causal structures, based on the detection of local, spontaneous changes in the underlying data-generating model. We analyze the classes of structures that are equivalent relative to a stream of…

Artificial Intelligence · Computer Science 2013-01-14 Jin Tian , Judea Pearl
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