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Causal discovery serves a pivotal role in mitigating model uncertainty through recovering the underlying causal mechanisms among variables. In many practical domains, such as healthcare, access to the data gathered by individual entities is…

Machine Learning · Computer Science 2024-02-13 Amin Abyaneh , Nino Scherrer , Patrick Schwab , Stefan Bauer , Bernhard Schölkopf , Arash Mehrjou

Conventional causal discovery methods rely on centralized data, which is inconsistent with the decentralized nature of data in many real-world situations. This discrepancy has motivated the development of federated causal discovery (FCD)…

Machine Learning · Computer Science 2024-02-28 Loka Li , Ignavier Ng , Gongxu Luo , Biwei Huang , Guangyi Chen , Tongliang Liu , Bin Gu , Kun Zhang

In this paper we consider the use of tiered background knowledge within constraint based causal discovery. Our focus is on settings relaxing causal sufficiency, i.e. allowing for latent variables which may arise because relevant information…

Machine Learning · Statistics 2025-12-22 Christine W. Bang , Vanessa Didelez

Decentralized data sources are prevalent in real-world applications, posing a formidable challenge for causal inference. These sources cannot be consolidated into a single entity owing to privacy constraints. The presence of dissimilar data…

Machine Learning · Computer Science 2024-05-31 Thanh Vinh Vo , Young lee , Tze-Yun Leong

We present a sound and complete algorithm, called iterative causal discovery (ICD), for recovering causal graphs in the presence of latent confounders and selection bias. ICD relies on the causal Markov and faithfulness assumptions and…

Machine Learning · Computer Science 2022-01-19 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

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

We consider the problem of estimating a particular type of linear non-Gaussian model. Without resorting to the overcomplete Independent Component Analysis (ICA), we show that under some mild assumptions, the model is uniquely identified by…

Machine Learning · Computer Science 2021-03-29 Wei Chen , Kun Zhang , Ruichu Cai , Biwei Huang , Joseph Ramsey , Zhifeng Hao , Clark Glymour

Kernel-based conditional independence (KCI) testing is a powerful nonparametric method commonly employed in causal discovery tasks. Despite its flexibility and statistical reliability, cubic computational complexity limits its application…

Machine Learning · Computer Science 2025-12-05 Oliver Schacht , Biwei Huang

Causal discovery is central to inferring causal relationships from observational data. In the presence of latent confounding, algorithms such as Fast Causal Inference (FCI) learn a Partial Ancestral Graph (PAG) representing the true model's…

Machine Learning · Computer Science 2025-05-13 Adèle H. Ribeiro , Dominik Heider

Causal discovery is to learn cause-effect relationships among variables given observational data and is important for many applications. Existing causal discovery methods assume data sufficiency, which may not be the case in many real world…

Machine Learning · Computer Science 2022-06-20 Zijun Cui , Naiyu Yin , Yuru Wang , Qiang Ji

Conditional independence (CI) testing is frequently used in data analysis and machine learning for various scientific fields and it forms the basis of constraint-based causal discovery. Oftentimes, CI testing relies on strong, rather…

Methodology · Statistics 2023-06-21 Wiebke Günther , Urmi Ninad , jonas Wahl , Jakob Runge

Conditional independence (CI) tests underlie many approaches to model testing and structure learning in causal inference. Most existing CI tests for categorical and ordinal data stratify the sample by the conditioning variables, perform…

Machine Learning · Statistics 2023-07-06 Ankur Ankan , Johannes Textor

Constraint-based causal discovery methods require a large number of conditional independence (CI) tests, which severely limits their practical applicability due to high computational complexity. Therefore, it is crucial to design an…

Machine Learning · Computer Science 2026-02-10 Shunyu Zhao , Yanfeng Yang , Shuai Li , Kenji Fukumizu

Learning causal structure from observational data is especially challenging when latent variables or selection bias are present. The Fast Causal Inference (FCI) algorithm addresses this setting but performs exhaustive conditional…

Machine Learning · Computer Science 2025-11-06 Joseph Ramsey , Bryan Andrews , Peter Spirtes

Causal processes in nature may contain cycles, and real datasets may violate causal sufficiency as well as contain selection bias. No constraint-based causal discovery algorithm can currently handle cycles, latent variables and selection…

Machine Learning · Statistics 2018-05-08 Eric V. Strobl

Federated Learning is an emerging privacy-preserving distributed machine learning approach to building a shared model by performing distributed training locally on participating devices (clients) and aggregating the local models into a…

Machine Learning · Computer Science 2021-04-15 Sreya Francis , Irene Tenison , Irina Rish

The standard constraint-based paradigm for causal discovery with incomplete data -- impute first, test second -- is frequently miscalibrated: any consistent conditional independence (CI) test rejects a true null with probability approaching…

Methodology · Statistics 2026-05-07 Thomas S. Robinson , Ranjit Lall

Distributed privacy-preserving regression schemes have been developed and extended in various fields, where multiparty collaboratively and privately run optimization algorithms, e.g., Gradient Descent, to learn a set of optimal parameters.…

Machine Learning · Computer Science 2022-10-18 Xinlin Leng , Chenxu Li , Weifeng Xu , Yuyan Sun , Hongtao Wang

Federated learning offers a promising paradigm for privacy-preserving traffic prediction, yet its performance is often challenged by the non-identically and independently distributed (non-IID) nature of decentralized traffic data. Existing…

Machine Learning · Computer Science 2026-02-02 Chengyang Zhou , Zijian Zhang , Chunxu Zhang , Hao Miao , Yulin Zhang , Kedi Lyu , Juncheng Hu

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
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