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Discovering latent representations of the observed world has become increasingly more relevant in data analysis. Much of the effort concentrates on building latent variables which can be used in prediction problems, such as classification…

Machine Learning · Computer Science 2010-01-08 Ricardo Silva

Causal representation learning aims at identifying high-level causal variables from perceptual data. Most methods assume that all latent causal variables are captured in the high-dimensional observations. We instead consider a partially…

Extracting meaningful information from high-dimensional data poses a formidable modeling challenge, particularly when the data is obscured by noise or represented through different modalities. This research proposes a novel non-parametric…

Machine Learning · Computer Science 2024-08-27 Navid Ziaei , Behzad Nazari , Uri T. Eden , Alik Widge , Ali Yousefi

We address the problem of two-variable causal inference without intervention. This task is to infer an existing causal relation between two random variables, i.e. $X \rightarrow Y$ or $Y \rightarrow X$ , from purely observational data. As…

Machine Learning · Statistics 2020-01-07 Maximilian Kurthen , Torsten A. Enßlin

Faithful evaluation of language model capabilities is crucial for deriving actionable insights that can inform model development. However, rigorous causal evaluations in this domain face significant methodological challenges, including…

Machine Learning · Computer Science 2025-06-13 Jikai Jin , Vasilis Syrgkanis , Sham Kakade , Hanlin Zhang

Bayesian neural networks (BNNs) with latent variables are probabilistic models which can automatically identify complex stochastic patterns in the data. We describe and study in these models a decomposition of predictive uncertainty into…

Machine Learning · Statistics 2017-11-15 Stefan Depeweg , José Miguel Hernández-Lobato , Finale Doshi-Velez , Steffen Udluft

Recent work has shown promising results in causal discovery by leveraging interventional data with gradient-based methods, even when the intervened variables are unknown. However, previous work assumes that the correspondence between…

Machine Learning · Computer Science 2022-07-12 Gonçalo R. A. Faria , André F. T. Martins , Mário A. T. Figueiredo

Discovering and parameterising latent confounders represent important and challenging problems in causal structure learning and density estimation respectively. In this paper, we focus on both discovering and learning the distribution of…

Machine Learning · Computer Science 2022-08-23 Kiattikun Chobtham , Anthony C. Constantinou

Causal discovery from data affected by unobserved variables is an important but difficult problem to solve. The effects that unobserved variables have on the relationships between observed variables are more complex in nonlinear cases than…

Machine Learning · Computer Science 2021-06-07 Takashi Nicholas Maeda , Shohei Shimizu

Causal representation learning (CRL) offers the promise of uncovering the underlying causal model by which observed data was generated, but the practical applicability of existing methods remains limited by the strong assumptions required…

Machine Learning · Computer Science 2026-01-30 Yuhang Liu , Zhen Zhang , Dong Gong , Erdun Gao , Biwei Huang , Mingming Gong , Anton van den Hengel , Kun Zhang , Javen Qinfeng Shi

In this paper we present a fully Bayesian latent variable model which exploits conditional nonlinear(in)-dependence structures to learn an efficient latent representation. The latent space is factorized to represent shared and private…

Machine Learning · Computer Science 2012-06-22 Andreas Damianou , Carl Ek , Michalis Titsias , Neil Lawrence

Inducing causal relationships from observations is a classic problem in machine learning. Most work in causality starts from the premise that the causal variables themselves are observed. However, for AI agents such as robots trying to make…

Massive data collection holds the promise of a better understanding of complex phenomena and, ultimately, better decisions. Representation learning has become a key driver of deep learning applications, as it allows learning latent spaces…

Machine Learning · Computer Science 2025-11-10 Caroline Uhler , Jiaqi Zhang

We propose an approach for learning the causal structure in stochastic dynamical systems with a $1$-step functional dependency in the presence of latent variables. We propose an information-theoretic approach that allows us to recover the…

Information Theory · Computer Science 2017-01-25 Saber Salehkaleybar , Jalal Etesami , Negar Kiyavash

In nonlinear latent variable models or dynamic models, if we consider the latent variables as confounders (common causes), the noise dependencies imply further relations between the observed variables. Such models are then closely related…

Machine Learning · Computer Science 2012-03-19 Kun Zhang , Bernhard Schoelkopf , Dominik Janzing

Latent confounders are a fundamental challenge for inferring causal effects from observational data. The instrumental variable (IV) approach is a practical way to address this challenge. Existing IV based estimators need a known IV or other…

Machine Learning · Computer Science 2024-12-09 Debo Cheng , Jiuyong Li , Lin Liu , Ziqi Xu , Weijia Zhang , Jixue Liu , Thuc Duy Le

Observed associations in a database may be due in whole or part to variations in unrecorded (latent) variables. Identifying such variables and their causal relationships with one another is a principal goal in many scientific and practical…

Machine Learning · Computer Science 2012-12-12 Ricardo Silva , Richard Scheines , Clark Glymour , Peter L. Spirtes

Unsupervised representation learning seeks to recover latent generative factors, yet standard methods relying on statistical independence often fail to capture causal dependencies. A central challenge is identifiability: as established in…

Machine Learning · Computer Science 2025-12-30 Hans Jarett J. Ong , Brian Godwin S. Lim , Dominic Dayta , Renzo Roel P. Tan , Kazushi Ikeda

Learning individual-level causal effects from observational data, such as inferring the most effective medication for a specific patient, is a problem of growing importance for policy makers. The most important aspect of inferring causal…

Machine Learning · Statistics 2017-11-07 Christos Louizos , Uri Shalit , Joris Mooij , David Sontag , Richard Zemel , Max Welling

Graph-based causal discovery methods aim to capture conditional independencies consistent with the observed data and differentiate causal relationships from indirect or induced ones. Successful construction of graphical models of data…

Machine Learning · Statistics 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan