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Prevalent in biomedical applications (e.g., human phenotype research), multimodal datasets can provide valuable insights into the underlying physiological mechanisms. However, current machine learning (ML) models designed to analyze these…

We develop a criterion to certify whether causal effects are identifiable in linear structural equation models with latent variables. Linear structural equation models correspond to directed graphs whose nodes represent the random variables…

统计理论 · 数学 2025-07-25 Nils Sturma , Mathias Drton

Causal discovery seeks to uncover causal relations from data, typically represented as causal graphs, and is essential for predicting the effects of interventions. While expert knowledge is required to construct principled causal graphs,…

人工智能 · 计算机科学 2026-02-19 Zihao Li , Fabrizio Russo

Explaining artificial intelligence or machine learning models is increasingly important. To use such data-driven systems wisely we must understand how they interact with the world, including how they depend causally on data inputs. In this…

机器学习 · 计算机科学 2023-07-06 Joshua R. Loftus , Lucius E. J. Bynum , Sakina Hansen

Negative controls are increasingly used to evaluate the presence of potential unmeasured confounding in observational studies. Beyond the use of negative controls to detect the presence of residual confounding, proximal causal inference…

统计方法学 · 统计学 2024-06-06 Jiewen Liu , Chan Park , Kendrick Li , Eric J. Tchetgen Tchetgen

Conditional independence (CI) is central to causal inference, feature selection, and graphical modeling, yet it is untestable in many settings without additional assumptions. Existing CI tests often rely on restrictive structural…

机器学习 · 计算机科学 2025-12-23 Alek Frohlich , Vladimir Kostic , Karim Lounici , Daniel Perazzo , Massimiliano Pontil

We study the connection between probability distributions satisfying certain conditional independence (CI) constraints, and point and line arrangements in incidence geometry. To a family of CI statements, we associate a polynomial ideal…

交换代数 · 数学 2021-04-01 Oliver Clarke , Fatemeh Mohammadi , Harshit J. Motwani

We consider the problem of discovering causal relations from independence constraints selection bias in addition to confounding is present. While the seminal FCI algorithm is sound and complete in this setup, no criterion for the causal…

机器学习 · 计算机科学 2022-03-04 Philip Versteeg , Cheng Zhang , Joris M. Mooij

Unobserved confounding is a fundamental obstacle to establishing valid causal conclusions from observational data. Two complementary types of approaches have been developed to address this obstacle: obtaining identification using fortuitous…

统计方法学 · 统计学 2023-06-27 Ilya Shpitser , Zach Wood-Doughty , Eric J. Tchetgen Tchetgen

We study the problem of learning the causal relationships between a set of observed variables in the presence of latents, while minimizing the cost of interventions on the observed variables. We assume access to an undirected graph $G$ on…

数据结构与算法 · 计算机科学 2020-12-29 Raghavendra Addanki , Andrew McGregor , Cameron Musco

Interventional causal discovery seeks to identify causal relations by leveraging distributional changes introduced by interventions, even in the presence of latent confounders. Beyond the spurious dependencies induced by latent confounders,…

机器学习 · 计算机科学 2026-02-26 Gongxu Luo , Loka Li , Guangyi Chen , Haoyue Dai , Kun Zhang

It has become increasingly common nowadays to collect observations of feature and response pairs from different environments. As a consequence, one has to apply learned predictors to data with a different distribution due to distribution…

统计方法学 · 统计学 2023-10-31 Kang Du , Yu Xiang

A topic of great current interest is Causal Representation Learning (CRL), whose goal is to learn a causal model for hidden features in a data-driven manner. Unfortunately, CRL is severely ill-posed since it is a combination of the two…

机器学习 · 统计学 2024-06-10 Hiroshi Morioka , Aapo Hyvärinen

Hidden Markov Models (HMMs) comprise a powerful generative approach for modeling sequential data and time-series in general. However, the commonly employed assumption of the dependence of the current time frame to a single or multiple…

机器学习 · 计算机科学 2021-09-13 Konstantinos P. Panousis , Sotirios Chatzis , Sergios Theodoridis

Imitation learning from demonstrations usually suffers from the confounding effects of unmeasured variables (i.e., unmeasured confounders) on the states and actions. If ignoring them, a biased estimation of the policy would be entailed. To…

机器学习 · 计算机科学 2025-07-24 Yan Zeng , Shenglan Nie , Feng Xie , Libo Huang , Peng Wu , Zhi Geng

We consider the problem of inferring the conditional independence graph (CIG) of a multivariate stationary dicrete-time Gaussian random process based on a finite length observation. Using information-theoretic methods, we derive a lower…

统计理论 · 数学 2014-03-06 Gabor Hannak , Alexander Jung , Norbert Goertz

Recent advances in nonlinear Independent Component Analysis (ICA) provide a principled framework for unsupervised feature learning and disentanglement. The central idea in such works is that the latent components are assumed to be…

机器学习 · 统计学 2020-06-23 Hermanni Hälvä , Aapo Hyvärinen

The discovery of causal relationships from high-dimensional data is a major open problem in bioinformatics. Machine learning and feature attribution models have shown great promise in this context but lack causal interpretation. Here, we…

机器学习 · 计算机科学 2023-04-26 Payam Dibaeinia , Saurabh Sinha

Due to unmeasured confounding, it is often not possible to identify causal effects from a postulated model. Nevertheless, we can ask for partial identification, which usually boils down to finding upper and lower bounds of a causal quantity…

机器学习 · 统计学 2022-03-01 Jakob Zeitler , Ricardo Silva

Learning disentangled causal representations is a challenging problem that has gained significant attention recently due to its implications for extracting meaningful information for downstream tasks. In this work, we define a new notion of…

机器学习 · 计算机科学 2024-08-27 Aneesh Komanduri , Yongkai Wu , Feng Chen , Xintao Wu
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