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Gaussian graphical model is one of the powerful tools to analyze conditional independence between two variables for multivariate Gaussian-distributed observations. When the dimension of data is moderate or high, penalized likelihood methods…

统计方法学 · 统计学 2025-01-24 Takahiro Onizuka , Shintaro Hashimoto

We study the generic identifiability of causal effects in linear non-Gaussian acyclic models (LiNGAM) with latent variables. We consider the problem in two main settings: When the causal graph is known a priori, and when it is unknown. In…

A very important topic in systems biology is developing statistical methods that automatically find causal relations in gene regulatory networks with no prior knowledge of causal connectivity. Many methods have been developed for time…

机器学习 · 统计学 2012-08-22 Shohei Shimizu

We investigate the asymptotic properties of Bayesian bivariate causal discovery for Gaussian Linear Structural Equation Models (SEMs) with heteroscedastic noise. We demonstrate that with purely observational data, the posterior distribution…

统计理论 · 数学 2026-03-30 Valentinian Lungu , Anish Dhir , Mark van der Wilk , Ioannis Kontoyiannis

Reasoning based on causality, instead of association has been considered as a key ingredient towards real machine intelligence. However, it is a challenging task to infer causal relationship/structure among variables. In recent years, an…

机器学习 · 计算机科学 2019-09-15 Zhitang Chen , Shengyu Zhu , Yue Liu , Tim Tse

We consider the problem of causal discovery (a.k.a., causal structure learning) in a multi-domain setting. We assume that the causal functions are invariant across the domains, while the distribution of the exogenous noise may vary. Under…

机器学习 · 计算机科学 2025-05-01 Kasra Jalaldoust , Saber Salehkaleybar , Negar Kiyavash

This paper addresses the problem of estimating causal directed acyclic graphs in linear non-Gaussian acyclic models with latent confounders (LvLiNGAM). Existing methods assume mutually independent latent confounders or cannot properly…

机器学习 · 计算机科学 2025-10-17 Ming Cai , Penggang Gao , Hisayuki Hara

Instrumental variable (IV) methods rely critically on the exclusion restriction, which is untestable in exactly-identified models under standard assumptions. We propose a framework combining IV analysis with the LiNGAM method to test this…

计量经济学 · 经济学 2026-03-17 Fernando Delbianco

Real-world data often violates the equal-variance assumption (homoscedasticity), making it essential to account for heteroscedastic noise in causal discovery. In this work, we explore heteroscedastic symmetric noise models (HSNMs), where…

机器学习 · 计算机科学 2025-04-22 Yingyu Lin , Yuxing Huang , Wenqin Liu , Haoran Deng , Ignavier Ng , Kun Zhang , Mingming Gong , Yi-An Ma , Biwei Huang

Local causal discovery is of great practical significance, as there are often situations where the discovery of the global causal structure is unnecessary, and the interest lies solely on a single target variable. Most existing local…

机器学习 · 计算机科学 2024-03-25 Haoyue Dai , Ignavier Ng , Yujia Zheng , Zhengqing Gao , Kun Zhang

A large amount of observational data has been accumulated in various fields in recent times, and there is a growing need to estimate the generating processes of these data. A linear non-Gaussian acyclic model (LiNGAM) based on the…

机器学习 · 统计学 2014-08-05 Naoki Tanaka , Shohei Shimizu , Takashi Washio

The remarkable realism of images generated by diffusion models poses critical detection challenges. Current methods utilize reconstruction error as a discriminative feature, exploiting the observation that real images exhibit higher…

计算机视觉与模式识别 · 计算机科学 2026-03-17 Jie Li , Yingying Feng , Chi Xie , Jie Hu , Lei Tan , Jiayi Ji

In recent years a lot of research has been conducted within the area of causal inference and causal learning. Many methods have been developed to identify the cause-effect pairs in models and have been successfully applied to observational…

机器学习 · 统计学 2021-08-26 Benjamin Kap

This paper investigates causal effect identification in latent variable Linear Non-Gaussian Acyclic Models (lvLiNGAM) using higher-order cumulants, addressing two prominent setups that are challenging in the presence of latent confounding:…

Auditing the fine-tunes of open-weight generative models for harmful specialization has become a new governance challenge for model hosting platforms. The standard toolkit, generative evaluation via curated prompts or red-teaming, does not…

Causal discovery with latent variables is a fundamental task. Yet most existing methods rely on strong structural assumptions, such as enforcing specific indicator patterns for latents or restricting how they can interact with others. We…

机器学习 · 计算机科学 2026-03-06 Haoyue Dai , Immanuel Albrecht , Peter Spirtes , Kun Zhang

In a previous paper (gr-qc/0105100) we derived a set of near-optimal signal detection techniques for gravitational wave detectors whose noise probability distributions contain non-Gaussian tails. The methods modify standard methods by…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Bruce Allen , Jolien D. E. Creighton , Eanna E. Flanagan , Joseph D. Romano

We consider recovering causal structure from multivariate observational data. We assume the data arise from a linear structural equation model (SEM) in which the idiosyncratic errors are allowed to be dependent in order to capture possible…

统计方法学 · 统计学 2021-11-11 Y. Samuel Wang , Mathias Drton

One of the key objectives in many fields in machine learning is to discover causal relationships among a set of variables from observational data. In linear non-Gaussian acyclic models (LiNGAM), it can be shown that the true underlying…

分布式、并行与集群计算 · 计算机科学 2026-01-06 Amirhossein Shahbazinia , Saber Salehkaleybar , Matin Hashemi

Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

统计方法学 · 统计学 2026-03-27 Alex Chen , Qing Zhou