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We generalize Shimizu et al's (2006) ICA-based approach for discovering linear non-Gaussian acyclic (LiNGAM) Structural Equation Models (SEMs) from causally sufficient, continuous-valued observational data. By relaxing the assumption that…

Artificial Intelligence · Computer Science 2012-06-18 Gustavo Lacerda , Peter L. Spirtes , Joseph Ramsey , Patrik O. Hoyer

Effective causal discovery is essential for learning the causal graph from observational data. The linear non-Gaussian acyclic model (LiNGAM) operates under the assumption of a linear data generating process with non-Gaussian noise in…

Machine Learning · Computer Science 2025-02-28 Hans Jarett J. Ong , Brian Godwin S. Lim , Renzo Roel P. Tan , Kazushi Ikeda

Causal discovery is a difficult problem that typically relies on strong assumptions on the data-generating model, such as non-Gaussianity. In practice, many modern applications provide multiple related views of the same system, which has…

Machine Learning · Computer Science 2025-09-29 Ambroise Heurtebise , Omar Chehab , Pierre Ablin , Alexandre Gramfort , Aapo Hyvärinen

Establishing causal relations between random variables from observational data is perhaps the most important challenge in today's \blue{science}. In remote sensing and geosciences this is of special relevance to better understand the…

Methodology · Statistics 2020-12-10 Adrián Pérez-Suay , Gustau Camps-Valls

Inferring causal directions on discrete and categorical data is an important yet challenging problem. Even though the additive noise models (ANMs) approach can be adapted to the discrete data, the functional structure assumptions make it…

Machine Learning · Statistics 2021-09-02 Austin Goddard , Yu Xiang

We consider learning a causal ordering of variables in a linear non-Gaussian acyclic model called LiNGAM. Several existing methods have been shown to consistently estimate a causal ordering assuming that all the model assumptions are…

Machine Learning · Statistics 2013-07-30 Tatsuya Tashiro , Shohei Shimizu , Aapo Hyvarinen , Takashi Washio

Causal discovery from data with unmeasured confounding factors is a challenging problem. This paper proposes an approach based on the f-GAN framework, learning the binary causal structure independent of specific weight values. We…

Machine Learning · Computer Science 2026-01-06 Mujin Zhou , Junzhe Zhang

Existing causal discovery methods based on combinatorial optimization or search are slow, prohibiting their application on large-scale datasets. In response, more recent methods attempt to address this limitation by formulating causal…

Machine Learning · Computer Science 2024-03-07 Victor Akinwande , J. Zico Kolter

We consider the problem of inferring causal relationships between two or more passively observed variables. While the problem of such causal discovery has been extensively studied especially in the bivariate setting, the majority of current…

Machine Learning · Statistics 2019-04-22 Ricardo Pio Monti , Kun Zhang , Aapo Hyvarinen

We present the details of a method for conducting a targeted, coherent search for compact binary coalescences. The search is tailored to be used as a followup to electromagnetic transients such as Gamma Ray Bursts. We derive the coherent…

General Relativity and Quantum Cosmology · Physics 2012-07-27 Ian Harry , Stephen Fairhurst

This paper shows that testability of reverse causality is possible even in the absence of exogenous variation, such as in the form of instrumental variables. Instead of relying on exogenous variation, we achieve testability by imposing…

Econometrics · Economics 2024-04-29 Christoph Breunig , Patrick Burauel

The discovery of non-linear causal relationship under additive non-Gaussian noise models has attracted considerable attention recently because of their high flexibility. In this paper, we propose a novel causal inference algorithm called…

Machine Learning · Statistics 2011-03-31 Makoto Yamada , Masashi Sugiyama , Jun Sese

We consider to learn a causal ordering of variables in a linear non-Gaussian acyclic model called LiNGAM. Several existing methods have been shown to consistently estimate a causal ordering assuming that all the model assumptions are…

Machine Learning · Statistics 2012-04-10 Tatsuya Tashiro , Shohei Shimizu , Aapo Hyvarinen , Takashi Washio

Recent diffusion models have achieved promising performances in audio-denoising tasks. The unique property of the reverse process could recover clean signals. However, the distribution of real-world noises does not comply with a single…

Sound · Computer Science 2024-06-14 Pu Wang , Junhui Li , Jialu Li , Liangdong Guo , Youshan Zhang

Likelihood analysis is typically limited to normally distributed noise due to the difficulty of determining the probability density function of complex, high-dimensional, non-Gaussian, and anisotropic noise. This is a major limitation for…

Instrumentation and Methods for Astrophysics · Physics 2023-06-14 Ronan Legin , Alexandre Adam , Yashar Hezaveh , Laurence Perreault Levasseur

Causality analysis is a powerful tool for determining cause-and-effect relationships between variables in a system by quantifying the influence of one variable on another. Despite significant advancements in the field, many existing studies…

Numerical Analysis · Mathematics 2024-09-12 Justin Lien

We introduce a new analysis method to deal with stationary non-Gaussian noises in gravitational wave detectors in terms of the independent component analysis. First, we consider the simplest case where the detector outputs are linear…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Soichiro Morisaki , Jun'ichi Yokoyama , Kazunari Eda , Yousuke Itoh

Identification of causal direction between a causal-effect pair from observed data has recently attracted much attention. Various methods based on functional causal models have been proposed to solve this problem, by assuming the causal…

Machine Learning · Computer Science 2019-06-04 Ruichu Cai , Jie Qiao , Kun Zhang , Zhenjie Zhang , Zhifeng Hao

Inferring causal relationships from observational data is crucial when experiments are costly or infeasible. Additive noise models (ANMs) enable unique directed acyclic graph (DAG) identification, but existing sample-efficient ANM methods…

Machine Learning · Computer Science 2025-06-19 Sujai Hiremath , Promit Ghosal , Kyra Gan

Numerous approaches have been proposed to discover causal dependencies in machine learning and data mining; among them, the state-of-the-art VAR-LiNGAM (short for Vector Auto-Regressive Linear Non-Gaussian Acyclic Model) is a desirable…

Machine Learning · Computer Science 2022-11-28 Aref Einizade , Sepideh Hajipour Sardouie