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Related papers: Heavy Tailed Homogeneous Structural Causal Models

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A structural causal model is made of endogenous (manifest) and exogenous (latent) variables. We show that endogenous observations induce linear constraints on the probabilities of the exogenous variables. This allows to exactly map a causal…

Artificial Intelligence · Computer Science 2020-08-04 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

We formulate a general framework for building structural causal models (SCMs) with deep learning components. The proposed approach employs normalising flows and variational inference to enable tractable inference of exogenous noise…

Machine Learning · Statistics 2020-10-26 Nick Pawlowski , Daniel C. Castro , Ben Glocker

We present Causal Generative Neural Networks (CGNNs) to learn functional causal models from observational data. CGNNs leverage conditional independencies and distributional asymmetries to discover bivariate and multivariate causal…

Local causal discovery aims to learn and distinguish the direct causes and effects of a target variable from observed data. Existing constraint-based local causal discovery methods use AND or OR rules in constructing the local causal…

Artificial Intelligence · Computer Science 2025-05-13 Zhaolong Ling , Honghui Peng , Yiwen Zhang , Debo Cheng , Xingyu Wu , Peng Zhou , Kui Yu

We present an algorithm for distributed estimation of an unknown vector parameter $\boldsymbol{\theta}^\ast \in {\mathbb R}^M$ in the presence of heavy-tailed observation and communication noises. Heavy-tailed noises frequently appear,…

Information Theory · Computer Science 2026-03-24 Dragana Bajovic , Dusan Jakovetic , Soummya Kar , Manojlo Vukovic

A structural vector autoregressive (SVAR) process is a linear causal model for variables that evolve over a discrete set of time points and between which there may be lagged and instantaneous effects. The qualitative causal structure of an…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Jonas Wahl , Andreas Gerhardus , Jakob Runge

Constraint-based methods and noise-based methods are two distinct families of methods proposed for uncovering causal graphs from observational data. However, both operate under strong assumptions that may be challenging to validate or could…

Artificial Intelligence · Computer Science 2024-05-01 Daria Bystrova , Charles K. Assaad , Julyan Arbel , Emilie Devijver , Eric Gaussier , Wilfried Thuiller

Most neural models of causality assume static causal graphs, failing to capture the dynamic and sparse nature of physical interactions where causal relationships emerge and dissolve over time. We introduce the Causal Process Framework and…

Machine Learning · Computer Science 2026-04-07 Turan Orujlu , Christian Gumbsch , Martin V. Butz , Charley M Wu

Causality is essential for understanding complex systems, such as the economy, the brain, and the climate. Constructing causal graphs often relies on either data-driven or expert-driven approaches, both fraught with challenges. The former…

Artificial Intelligence · Computer Science 2024-06-12 Kai-Hendrik Cohrs , Gherardo Varando , Emiliano Diaz , Vasileios Sitokonstantinou , Gustau Camps-Valls

Directed Acyclic Graphs (DAGs) are central to uncovering causal structure in complex systems, yet learning a single DAG from data is often challenging: model uncertainty, finite samples, and a combinatorially large search space frequently…

Methodology · Statistics 2026-05-19 Yunan Wu , Yue Wang , Chunlin Li , Chenglong Ye

A typical problem in causal modeling is the instability of model structure learning, i.e., small changes in finite data can result in completely different optimal models. The present work introduces a novel causal modeling algorithm for…

In this study, we present a novel constraint-based algorithm for causal structure learning specifically designed for nonlinear autoregressive time series. Our algorithm significantly reduces computational complexity compared to existing…

Machine Learning · Computer Science 2025-07-11 Mohammad Fesanghary , Achintya Gopal

Discovering causal relations from observational data becomes possible with additional assumptions such as considering the functional relations to be constrained as nonlinear with additive noise (ANM). Even with strong assumptions, causal…

Machine Learning · Computer Science 2023-06-27 Pedro Sanchez , Xiao Liu , Alison Q O'Neil , Sotirios A. Tsaftaris

Causal discovery for dynamical systems poses a major challenge in fields where active interventions are infeasible. Most methods used to investigate these systems and their associated benchmarks are tailored to deterministic,…

Machine Learning · Computer Science 2025-10-13 Benjamin Herdeanu , Juan Nathaniel , Carla Roesch , Jatan Buch , Gregor Ramien , Johannes Haux , Pierre Gentine

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…

Despite the impressive performance of recent unbiased Scene Graph Generation (SGG) methods, the current debiasing literature mainly focuses on the long-tailed distribution problem, whereas it overlooks another source of bias, i.e., semantic…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Shuzhou Sun , Shuaifeng Zhi , Qing Liao , Janne Heikkilä , Li Liu

Power system time series analytics is critical in understanding the system operation conditions and predicting the future trends. Despite the wide adoption of Artificial Intelligence (AI) tools, many AI-based time series analytical models…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Zhenghao Zhou , Yiyan Li , Xinjie Yu , Runlong Liu , Zelin Guo , Zheng Yan , Mo-Yuen Chow , Yuqi Yang , Yang Xu

Structural causal models (SCMs) are widely used in various disciplines to represent causal relationships among variables in complex systems. Unfortunately, the underlying causal structure is often unknown, and estimating it from data…

Machine Learning · Computer Science 2024-01-17 Tianyu Chen , Kevin Bello , Bryon Aragam , Pradeep Ravikumar

Linear structural equation models represent direct causal effects as directed edges and confounding factors as bidirected edges. An open problem is to identify the causal parameters from correlations between the nodes. We investigate…

Artificial Intelligence · Computer Science 2022-03-07 Benito van der Zander , Marcel Wienöbst , Markus Bläser , Maciej Liśkiewicz

Recent advances have established the identifiability of a directed acyclic graph (DAG) under additive noise models (ANMs), spurring the development of various causal discovery methods. However, most existing methods make restrictive model…

Machine Learning · Statistics 2026-04-24 Stella Huang , Qing Zhou
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