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We consider the problem of learning the structure of a causal directed acyclic graph (DAG) model in the presence of latent variables. We define latent factor causal models (LFCMs) as a restriction on causal DAG models with latent variables,…

Methodology · Statistics 2022-07-06 Chandler Squires , Annie Yun , Eshaan Nichani , Raj Agrawal , Caroline Uhler

Structural equation models (SEMs) have been widely adopted for inference of causal interactions in complex networks. Recent examples include unveiling topologies of hidden causal networks over which processes such as spreading diseases, or…

Machine Learning · Statistics 2017-04-05 Yanning Shen , Brian Baingana , Georgios B. Giannakis

Causal relationship recognition is a fundamental operation in neural networks aimed at learning behavior, action planning, and inferring external world dynamics. This operation is particularly crucial for reinforcement learning (RL). In the…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Mikhail Kiselev , Denis Larionov , Andrey Urusov

Deep neural networks (DNNs) often struggle with out-of-distribution data, limiting their reliability in diverse realworld applications. To address this issue, domain generalization methods have been developed to learn domain-invariant…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Jiaxi Li , Di Lin , Hao Chen , Hongying Liu , Liang Wan , Wei Feng

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

Graphical models are widely used to study complex multivariate biological systems. Network inference algorithms aim to reverse-engineer such models from noisy experimental data. It is common to assess such algorithms using techniques from…

Methodology · Statistics 2014-03-03 Chris J. Oates , Richard Amos , Simon E. F. Spencer

Cellular phenotypes are determined by the dynamical activity of networks of co-regulated genes. Elucidating such networks is crucial for the understanding of normal cell physiology as well as for the dissection of complex pathologic…

Molecular Networks · Quantitative Biology 2007-05-23 Kai Wang , Nilanjana Banerjee , Adam Margolin , Ilya Nemenman , Katia Basso , Riccardo Favera , Andrea Califano

Retrieving targeted pathways in biological knowledge bases, particularly when incorporating wet-lab experimental data, remains a challenging task and often requires downstream analyses and specialized expertise. In this paper, we frame this…

Machine Learning · Computer Science 2026-04-14 Rikuto Kotoge , Ziwei Yang , Zheng Chen , Yushun Dong , Yasuko Matsubara , Jimeng Sun , Yasushi Sakurai

Existing two-stage Scene Graph Generation (SGG) frameworks typically incorporate a detector to extract relationship features and a classifier to categorize these relationships; therefore, the training paradigm follows a causal chain…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Shuzhou Sun , Li Liu , Tianpeng Liu , Shuaifeng Zhi , Ming-Ming Cheng , Janne Heikkilä , Yongxiang Liu

Deep learning (DL) has recently drawn much attention in image analysis, natural language process, and high-dimensional medical data analysis. Under the causal direct acyclic graph (DAG) interpretation, the input variables without incoming…

Applications · Statistics 2022-03-22 Jong-Hyeon Jeong , Yichen Jia

Causal discovery methods can identify valid adjustment sets for causal effect estimation for a pair of target variables, even when the underlying causal graph is unknown. Global causal discovery methods focus on learning the whole causal…

Machine Learning · Statistics 2026-04-01 Mátyás Schubert , Tom Claassen , Sara Magliacane

Clinical diagnosis is a highly specialized discipline requiring both domain expertise and strict adherence to rigorous guidelines. While current AI-driven medical research predominantly focuses on knowledge graphs or natural text…

Machine Learning · Computer Science 2025-12-12 Haolin Li , Tianjie Dai , Zhe Chen , Siyuan Du , Jiangchao Yao , Ya Zhang , Yanfeng Wang

Inferring the potential consequences of an unobserved event is a fundamental scientific question. To this end, Pearl's celebrated do-calculus provides a set of inference rules to derive an interventional probability from an observational…

Discrete Mathematics · Computer Science 2021-08-10 Benjamin Heymann , Michel de Lara , Jean-Philippe Chancelier

We introduce a new family of graphical models that consists of graphs with possibly directed, undirected and bidirected edges but without directed cycles. We show that these models are suitable for representing causal models with additive…

Machine Learning · Statistics 2017-05-30 Jose M. Peña , Marcus Bendtsen

In this study, we address causal inference when only observational data and a valid causal ordering from the causal graph are available. We introduce a set of flow models that can recover component-wise, invertible transformation of…

Machine Learning · Computer Science 2024-12-16 Minh Khoa Le , Kien Do , Truyen Tran

Massive data collection holds the promise of a better understanding of complex phenomena and, ultimately, better decisions. Representation learning has become a key driver of deep learning applications, as it allows learning latent spaces…

Machine Learning · Computer Science 2025-11-10 Caroline Uhler , Jiaqi Zhang

Can the direction of time and the causal structure of space-time be inferred from operational principles? Causal models and tensor networks offer complementary perspectives: the former encodes cause-effect relations via directed graphs,…

Quantum Physics · Physics 2026-03-16 Carla Ferradini , Giulia Mazzola , V. Vilasini

Recent work has shown how chemical reaction network theory may be used to design dynamical systems that can be implemented biologically in nucleic acid-based chemistry. While this has allowed the construction of advanced open-loop circuitry…

Systems and Control · Computer Science 2019-07-24 Nuno M. G. Paulino , Mathias Foo , Jongmin Kim , Declan G. Bates

This paper studies the causal representation learning problem when the latent causal variables are observed indirectly through an unknown linear transformation. The objectives are: (i) recovering the unknown linear transformation (up to…

Machine Learning · Statistics 2023-05-02 Burak Varici , Emre Acarturk , Karthikeyan Shanmugam , Abhishek Kumar , Ali Tajer

Learning causal relationships between pairs of complex traits from observational studies is of great interest across various scientific domains. However, most existing methods assume the absence of unmeasured confounding and restrict causal…

Methodology · Statistics 2024-07-17 Wei Li , Rui Duan , Sai Li
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