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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

We propose a method for inferring the existence of a latent common cause ('confounder') of two observed random variables. The method assumes that the two effects of the confounder are (possibly nonlinear) functions of the confounder plus…

Machine Learning · Statistics 2012-05-14 Dominik Janzing , Jonas Peters , Joris Mooij , Bernhard Schoelkopf

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 propose a novel machine learning approach for inferring causal variables of a target variable from observations. Our focus is on directly inferring a set of causal factors without requiring full causal graph reconstruction, which is…

Machine Learning · Computer Science 2025-10-01 Jang-Hyun Kim , Claudia Skok Gibbs , Sangdoo Yun , Hyun Oh Song , Kyunghyun Cho

Causal reasoning in natural language requires identifying relevant variables, understanding their interactions, and reasoning about effects and interventions, often under noisy or ambiguous conditions. While large language models (LLMs)…

Computation and Language · Computer Science 2026-05-07 Zhi Xu , Yun Fu

Causal graph recovery is traditionally done using statistical estimation-based methods or based on individual's knowledge about variables of interests. They often suffer from data collection biases and limitations of individuals' knowledge.…

Computation and Language · Computer Science 2024-06-19 Yuzhe Zhang , Yipeng Zhang , Yidong Gan , Lina Yao , Chen Wang

Most existing methods that address out-of-distribution (OOD) generalization for node classification on graphs primarily focus on a specific type of data biases, such as label selection bias or structural bias. However, anticipating the type…

Machine Learning · Computer Science 2023-11-07 Guoxin Chen , Yongqing Wang , Fangda Guo , Qinglang Guo , Jiangli Shao , Huawei Shen , Xueqi Cheng

Latent confounding has been a long-standing obstacle for causal reasoning from observational data. One popular approach is to model the data using acyclic directed mixed graphs (ADMGs), which describe ancestral relations between variables…

Machine Learning · Computer Science 2023-03-23 Matthew Ashman , Chao Ma , Agrin Hilmkil , Joel Jennings , Cheng Zhang

Inferring dependence structure through undirected graphs is crucial for uncovering the major modes of multivariate interaction among high-dimensional genomic markers that are potentially associated with cancer. Traditionally, conditional…

Methodology · Statistics 2016-04-04 Anindya Bhadra , Arvind Rao , Veerabhadran Baladandayuthapani

Causal inference from observational data plays critical role in many applications in trustworthy machine learning. While sound and complete algorithms exist to compute causal effects, many of them assume access to conditional likelihoods,…

Machine Learning · Computer Science 2024-11-04 Md Musfiqur Rahman , Matt Jordan , Murat Kocaoglu

If $X,Y,Z$ denote sets of random variables, two different data sources may contain samples from $P_{X,Y}$ and $P_{Y,Z}$, respectively. We argue that causal discovery can help inferring properties of the `unobserved joint distributions'…

Machine Learning · Statistics 2023-05-12 Dominik Janzing , Philipp M. Faller , Leena Chennuru Vankadara

As network data applications continue to expand, causal inference within networks has garnered increasing attention. However, hidden confounders complicate the estimation of causal effects. Most methods rely on the strong ignorability…

Machine Learning · Computer Science 2024-09-16 Xiaojing Du , Feiyu Yang , Wentao Gao , Xiongren Chen

We consider the problem of learning the causal MAG of a system from observational data in the presence of latent variables and selection bias. Constraint-based methods are one of the main approaches for solving this problem, but the…

Machine Learning · Computer Science 2021-10-26 Sina Akbari , Ehsan Mokhtarian , AmirEmad Ghassami , Negar Kiyavash

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…

Machine Learning · Statistics 2014-08-05 Naoki Tanaka , Shohei Shimizu , Takashi Washio

Inferring the causal structure of a set of random variables from a finite sample of the joint distribution is an important problem in science. Recently, methods using additive noise models have been suggested to approach the case of…

Machine Learning · Statistics 2012-07-24 Jonas Peters , Dominik Janzing , Bernhard Schölkopf

Noisy labels are both inevitable and problematic in machine learning methods, as they negatively impact models' generalization ability by causing overfitting. In the context of learning with noise, the transition matrix plays a crucial role…

Machine Learning · Computer Science 2025-03-26 Jiahui Li , Tai-Wei Chang , Kun Kuang , Ximing Li , Long Chen , Jun Zhou

We study the problem of causal effect identification from observational distribution given the causal graph and some context-specific independence (CSI) relations. It was recently shown that this problem is NP-hard, and while a sound…

Machine Learning · Computer Science 2022-02-18 Ehsan Mokhtarian , Fateme Jamshidi , Jalal Etesami , Negar Kiyavash

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

Statistics Theory · Mathematics 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Instrumental-variable (IV) regression enables causal estimation under endogeneity, but modern IV problems often involve nonlinear structural effects and high-dimensional covariates. Existing nonlinear IV methods directly learn the causal…

Machine Learning · Statistics 2026-05-11 Guyue Luo , Qiao Liu

The standard margin-based structured prediction commonly uses a maximum loss over all possible structured outputs. The large-margin formulation including latent variables not only results in a non-convex formulation but also increases the…

Machine Learning · Computer Science 2019-06-25 Kevin Bello , Jean Honorio