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The aim of this paper is to discuss a recent result which shows that probabilistic inference in the presence of (unknown) causal mechanisms can be tractable for models that have traditionally been viewed as intractable. This result was…

Artificial Intelligence · Computer Science 2022-02-08 Adnan Darwiche

In this note we explore a fully unsupervised deep-learning framework for simulating non-linear structural equation models from observational training data. The main contribution of this note is an architecture for applying moment-matching…

Machine Learning · Statistics 2020-07-28 Michael Park

In unsupervised causal representation learning for sequential data with time-delayed latent causal influences, strong identifiability results for the disentanglement of causally-related latent variables have been established in stationary…

Machine Learning · Computer Science 2024-08-02 Xiangchen Song , Weiran Yao , Yewen Fan , Xinshuai Dong , Guangyi Chen , Juan Carlos Niebles , Eric Xing , Kun Zhang

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

Uncovering the underlying causal mechanisms of complex real-world systems remains a significant challenge, as these systems often entail high data collection costs and involve unknown interventions. We introduce MetaCaDI, the first…

Machine Learning · Statistics 2025-10-28 Hans Jarett Ong , Yoichi Chikahara , Tomoharu Iwata

Owing to the cross-pollination between causal discovery and deep learning, non-statistical data (e.g., images, text, etc.) encounters significant conflicts in terms of properties and methods with traditional causal data. To unify these data…

Machine Learning · Computer Science 2023-08-14 Hang Chen , Xinyu Yang , Qing Yang

We introduce a new family of graphical models that consists of graphs with possibly directed, undirected and bidirected edges but without directed cycles. We show that these models are suitable for representing causal models with additive…

Machine Learning · Statistics 2017-05-30 Jose M. Peña , Marcus Bendtsen

Recently, there has been extensive research on the capabilities of biologically plausible algorithms. In this work, we show how one of such algorithms, called predictive coding, is able to perform causal inference tasks. First, we show how…

Machine Learning · Computer Science 2024-06-04 Tommaso Salvatori , Luca Pinchetti , Amine M'Charrak , Beren Millidge , Thomas Lukasiewicz

A key goal of unsupervised representation learning is "inverting" a data generating process to recover its latent properties. Existing work that provably achieves this goal relies on strong assumptions on relationships between the latent…

Machine Learning · Computer Science 2021-11-01 Kartik Ahuja , Jason Hartford , Yoshua Bengio

This work introduces a novel principle for disentanglement we call mechanism sparsity regularization, which applies when the latent factors of interest depend sparsely on observed auxiliary variables and/or past latent factors. We propose a…

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…

Machine Learning · Computer Science 2025-10-17 Ming Cai , Penggang Gao , Hisayuki Hara

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

Learning a causal directed acyclic graph from data is a challenging task that involves solving a combinatorial problem for which the solution is not always identifiable. A new line of work reformulates this problem as a continuous…

Machine Learning · Computer Science 2020-11-05 Philippe Brouillard , Sébastien Lachapelle , Alexandre Lacoste , Simon Lacoste-Julien , Alexandre Drouin

In causal models, a given mechanism is assumed to be invariant to changes of other mechanisms. While this principle has been utilized for inference in settings where the causal variables are observed, theoretical insights when the variables…

Machine Learning · Statistics 2023-12-07 Simon Bing , Jonas Wahl , Urmi Ninad , Jakob Runge

The task of causal representation learning aims to uncover latent higher-level causal variables that affect lower-level observations. Identifying the true latent causal variables from observed data, while allowing instantaneous causal…

Machine Learning · Computer Science 2026-02-19 Yuhang Liu , Zhen Zhang , Dong Gong , Mingming Gong , Biwei Huang , Anton van den Hengel , Kun Zhang , Javen Qinfeng Shi

The identifiability analysis of linear Ordinary Differential Equation (ODE) systems is a necessary prerequisite for making reliable causal inferences about these systems. While identifiability has been well studied in scenarios where the…

Machine Learning · Statistics 2024-10-31 Yuanyuan Wang , Biwei Huang , Wei Huang , Xi Geng , Mingming Gong

A semi-parametric, non-linear regression model in the presence of latent variables is applied towards learning network graph structure. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex system of…

Machine Learning · Statistics 2018-07-03 Jonathan Mei , José M. F. Moura

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 inference can help inferring properties of the 'unobserved joint distributions'…

Statistics Theory · Mathematics 2018-05-18 Dominik Janzing

Directed acyclic graphical (DAG) models are a powerful tool for representing causal relationships among jointly distributed random variables, especially concerning data from across different experimental settings. However, it is not always…

Machine Learning · Statistics 2026-04-03 Francisco Madaleno , Pratik Misra , Alex Markham

Ordinal variables, such as on the Likert scale, are common in applied research. Yet, existing methods for causal inference tend to target nominal or continuous data. When applied to ordinal data, this fails to account for the inherent…

Methodology · Statistics 2025-02-26 Martina Scauda , Jack Kuipers , Giusi Moffa
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