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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

In social sciences and economics, causal inference traditionally focuses on assessing the impact of predefined treatments (or interventions) on predefined outcomes, such as the effect of education programs on earnings. Causal discovery, in…

Econometrics · Economics 2024-07-12 Martin Huber

In this paper we present a comprehensive view of prominent causal discovery algorithms, categorized into two main categories (1) assuming acyclic and no latent variables, and (2) allowing both cycles and latent variables, along with…

Artificial Intelligence · Computer Science 2017-09-13 Karamjit Singh , Garima Gupta , Vartika Tewari , Gautam Shroff

Understanding and adequately assessing the difference between a true and a learnt causal graphs is crucial for causal inference under interventions. As an extension to the graph-based structural Hamming distance and structural intervention…

Machine Learning · Statistics 2023-08-01 Mihir Dhanakshirur , Felix Laumann , Junhyung Park , Mauricio Barahona

Data depth is a statistical function that generalizes order and quantiles to the multivariate setting and beyond, with applications spanning over descriptive and visual statistics, anomaly detection, testing, etc. The celebrated halfspace…

Machine Learning · Statistics 2023-12-22 Arturo Castellanos , Pavlo Mozharovskyi , Florence d'Alché-Buc , Hicham Janati

We focus on causal discovery in the presence of measurement error in linear systems where the mixing matrix, i.e., the matrix indicating the independent exogenous noise terms pertaining to the observed variables, is identified up to…

Machine Learning · Computer Science 2022-11-09 Yuqin Yang , AmirEmad Ghassami , Mohamed Nafea , Negar Kiyavash , Kun Zhang , Ilya Shpitser

We design a new nonparametric method that allows one to estimate the matrix of integrated kernels of a multivariate Hawkes process. This matrix not only encodes the mutual influences of each nodes of the process, but also disentangles the…

Machine Learning · Statistics 2017-05-31 Massil Achab , Emmanuel Bacry , Stéphane Gaïffas , Iacopo Mastromatteo , Jean-Francois Muzy

Kernel methods are one of the cornerstones of learning-based control, modern system identification, surrogate modelling, and related fields. A key advantage of this class of learning and function approximation methods is the availability of…

Numerical Analysis · Mathematics 2026-05-20 Tizian Wenzel , Abdullah Tokmak , Christian Fiedler

Distances between probability distributions are a key component of many statistical machine learning tasks, from two-sample testing to generative modeling, among others. We introduce a novel distance between measures that compares them…

Machine Learning · Statistics 2025-07-09 Arturo Castellanos , Anna Korba , Pavlo Mozharovskyi , Hicham Janati

In this paper we study the problems of estimating heterogeneity in causal effects in experimental or observational studies and conducting inference about the magnitude of the differences in treatment effects across subsets of the…

Machine Learning · Statistics 2022-06-08 Susan Athey , Guido Imbens

Efficient and reliable beam alignment is a critical requirement for mmWave multiple-input multiple-output (MIMO) systems, especially in 6G and beyond, where communication must be fast, adaptive, and resilient to real-world uncertainties.…

Artificial Intelligence · Computer Science 2025-08-25 Nasir Khan , Asmaa Abdallah , Abdulkadir Celik , Ahmed M. Eltawil , Sinem Coleri

Causal inference is known to be very challenging when only observational data are available. Randomized experiments are often costly and impractical and in instrumental variable regression the number of instruments has to exceed the number…

Methodology · Statistics 2018-06-19 Dominik Rothenhäusler , Peter Bühlmann , Nicolai Meinshausen

A fundamental problem of causal discovery is cause-effect inference, learning the correct causal direction between two random variables. Significant progress has been made through modelling the effect as a function of its cause and a noise…

Machine Learning · Computer Science 2023-10-27 Xiangyu Sun , Oliver Schulte

Discovering causal structures with latent variables from observational data is a fundamental challenge in causal discovery. Existing methods often rely on constraint-based, iterative discrete searches, limiting their scalability to large…

Machine Learning · Computer Science 2024-12-02 Parjanya Prashant , Ignavier Ng , Kun Zhang , Biwei Huang

Causal discovery studies the problem of mining causal relationships between variables from data, which is of primary interest in science. During the past decades, significant amount of progresses have been made toward this fundamental data…

Artificial Intelligence · Computer Science 2016-11-28 Kui Yu , Jiuyong Li , Lin Liu

Causal models seek to unravel the cause-effect relationships among variables from observed data, as opposed to mere mappings among them, as traditional regression models do. This paper introduces a novel causal discovery algorithm designed…

Machine Learning · Computer Science 2024-10-03 Saeed Mohseni-Sehdeh , Walid Saad

Causal effect estimation from observational data is a crucial but challenging task. Currently, only a limited number of data-driven causal effect estimation methods are available. These methods either provide only a bound estimation of the…

Methodology · Statistics 2020-11-10 Debo Cheng , Jiuyong Li , Lin Liu , Kui Yu , Thuc Duy Lee , Jixue Liu

Unraveling the causal relationships among the execution of process activities is a crucial element in predicting the consequences of process interventions and making informed decisions regarding process improvements. Process discovery…

Artificial Intelligence · Computer Science 2025-01-15 Fabiana Fournier , Lior Limonad , Inna Skarbovsky , Yuval David

Uncertainty quantification is essential for deploying machine learning models in high-stakes domains such as scientific discovery and healthcare. Conformal Prediction (CP) provides finite-sample coverage guarantees under exchangeability, an…

Machine Learning · Computer Science 2026-03-30 Siddhartha Laghuvarapu , Rohan Deb , Jimeng Sun

Methods of causal discovery aim to identify causal structures in a data driven way. Existing algorithms are known to be unstable and sensitive to statistical errors, and are therefore rarely used with biomedical or epidemiological data. We…

Methodology · Statistics 2024-07-01 Christine W Bang , Janine Witte , Ronja Foraita , Vanessa Didelez
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