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Chain graphs combine directed and undirected graphs and their underlying mathematics combines properties of the two. This paper gives a simplified definition of chain graphs based on a hierarchical combination of Bayesian (directed) and…

Artificial Intelligence · Computer Science 2013-02-21 Wray L. Buntine

Real-world complex systems are often modelled by sets of equations with endogenous and exogenous variables. What can we say about the causal and probabilistic aspects of variables that appear in these equations without explicitly solving…

Artificial Intelligence · Computer Science 2021-11-25 Tineke Blom , Mirthe M. van Diepen , Joris M. Mooij

A graphical model is a structured representation of the data generating process. The traditional method to reason over random variables is to perform inference in this graphical model. However, in many cases the generating process is only a…

Machine Learning · Statistics 2019-10-31 Victor Garcia Satorras , Zeynep Akata , Max Welling

In many problems, the measured variables (e.g., image pixels) are just mathematical functions of the latent causal variables (e.g., the underlying concepts or objects). For the purpose of making predictions in changing environments or…

Machine Learning · Computer Science 2024-08-13 Kun Zhang , Shaoan Xie , Ignavier Ng , Yujia Zheng

Conditional-independence-based discovery uses statistical tests to identify a graphical model that represents the independence structure of variables in a dataset. These tests, however, can be unreliable, and algorithms are sensitive to…

Machine Learning · Computer Science 2026-04-21 Philipp M. Faller , Dominik Janzing

Recent years have seen rapid progress at the intersection between causality and machine learning. Motivated by scientific applications involving high-dimensional data, in particular in biomedicine, we propose a deep neural architecture for…

Machine Learning · Computer Science 2022-12-12 Kai Lagemann , Christian Lagemann , Bernd Taschler , Sach Mukherjee

In this paper, we introduce a novel class of graphical models for representing time lag specific causal relationships and independencies of multivariate time series with unobserved confounders. We completely characterize these graphs and…

Methodology · Statistics 2023-10-06 Andreas Gerhardus

Structure learning of Gaussian graphical models is an extensively studied problem in the classical multivariate setting where the sample size n is larger than the number of random variables p, as well as in the more challenging setting when…

Methodology · Statistics 2012-02-20 Inma Tur , Robert Castelo

Traditional model-based diagnosis relies on constructing explicit system models, a process that can be laborious and expertise-demanding. In this paper, we propose a novel framework that combines concepts of model-based diagnosis with deep…

Artificial Intelligence · Computer Science 2023-10-11 Jan Lukas Augustin , Oliver Niggemann

Graphical models are widely used in diverse application domains to model the conditional dependencies amongst a collection of random variables. In this paper, we consider settings where the graph structure is covariate-dependent, and…

Machine Learning · Statistics 2025-04-24 Jiahe Lin , Yikai Zhang , George Michailidis

Learning multimodal representations is a fundamentally complex research problem due to the presence of multiple heterogeneous sources of information. Although the presence of multiple modalities provides additional valuable information,…

Machine Learning · Computer Science 2019-05-15 Yao-Hung Hubert Tsai , Paul Pu Liang , Amir Zadeh , Louis-Philippe Morency , Ruslan Salakhutdinov

We propose a counterfactual approach to train ``causality-aware" predictive models that are able to leverage causal information in static anticausal machine learning tasks (i.e., prediction tasks where the outcome influences the features).…

Applications · Statistics 2020-12-01 Elias Chaibub Neto

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

Methodology · Statistics 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

The fundamental challenge in causal induction is to infer the underlying graph structure given observational and/or interventional data. Most existing causal induction algorithms operate by generating candidate graphs and evaluating them…

Unsupervised multimodal change detection is a practical and challenging topic that can play an important role in time-sensitive emergency applications. To address the challenge that multimodal remote sensing images cannot be directly…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Hongruixuan Chen , Naoto Yokoya , Chen Wu , Bo Du

When engaging in end-to-end graph representation learning with Graph Neural Networks (GNNs), the intricate causal relationships and rules inherent in graph data pose a formidable challenge for the model in accurately capturing authentic…

Machine Learning · Computer Science 2024-06-14 Hang Gao , Peng Qiao , Yifan Jin , Fengge Wu , Jiangmeng Li , Changwen Zheng

We formalize constraint-based structure learning of the "true" causal graph from observed data when unobserved variables are also existent. We provide conditions for a "natural" family of constraint-based structure-learning algorithms that…

Statistics Theory · Mathematics 2022-05-10 Kayvan Sadeghi , Terry Soo

One of the common obstacles for learning causal models from data is that high-order conditional independence (CI) relationships between random variables are difficult to estimate. Since CI tests with conditioning sets of low order can be…

Machine Learning · Computer Science 2020-10-07 Marcel Wienöbst , Maciej Liśkiewicz

This paper proposes a learning model, based on rank-fusion graphs, for general applicability in multimodal prediction tasks, such as multimodal regression and image classification. Rank-fusion graphs encode information from multiple…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Icaro Cavalcante Dourado , Salvatore Tabbone , Ricardo da Silva Torres

Causal discovery algorithms aim at untangling complex causal relationships from data. Here, we study causal discovery and inference methods based on staged tree models, which can represent complex and asymmetric causal relationships between…

Methodology · Statistics 2023-03-02 Manuele Leonelli , Gherardo Varando
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