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Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Graph contrastive learning (GCL), as a self-supervised learning method, can solve the problem of annotated data scarcity. It mines explicit features in unannotated graphs to generate favorable graph representations for downstream tasks.…

Machine Learning · Computer Science 2024-04-02 Jinhuan Wang , Jiafei Shao , Zeyu Wang , Shanqing Yu , Qi Xuan , Xiaoniu 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

Continual learning on graph data has recently attracted paramount attention for its aim to resolve the catastrophic forgetting problem on existing tasks while adapting the sequentially updated model to newly emerged graph tasks. While there…

Machine Learning · Computer Science 2024-02-20 Xikun Zhang , Dongjin Song , Dacheng Tao

Distribution shifts between training and testing datasets significantly impair the model performance on graph learning. A commonly-taken causal view in graph invariant learning suggests that stable predictive features of graphs are causally…

Machine Learning · Computer Science 2025-12-10 Bohan Wang , Yurui Chang , Wei Jin , Lu Lin

Understanding causal relationships between variables is fundamental across scientific disciplines. Most causal discovery algorithms rely on two key assumptions: (i) all variables are observed, and (ii) the underlying causal graph is…

Machine Learning · Computer Science 2026-01-26 Muralikrishnna G. Sethuraman , Faramarz Fekri

Counterfactual explanations promote explainability in machine learning models by answering the question "how should an input instance be perturbed to obtain a desired predicted label?". The comparison of this instance before and after…

Machine Learning · Computer Science 2022-11-09 Jing Ma , Ruocheng Guo , Saumitra Mishra , Aidong Zhang , Jundong Li

A fundamental challenge in the empirical sciences involves uncovering causal structure through observation and experimentation. Causal discovery entails linking the conditional independence (CI) invariances in observational data to their…

Machine Learning · Statistics 2025-11-04 Zihan Zhou , Muhammad Qasim Elahi , Murat Kocaoglu

We study Granger causality in the context of wide-sense stationary time series, where our focus is on the topological aspects of the underlying causality graph. We establish sufficient conditions (in particular, we develop the notion of a…

Statistics Theory · Mathematics 2019-11-19 R. J. Kinnear , R. R. Mazumdar

Causal discovery aims to uncover cause-and-effect relationships encoded in causal graphs by leveraging observational, interventional data, or their combination. The majority of existing causal discovery methods are developed assuming…

Machine Learning · Computer Science 2024-06-25 Muhammad Qasim Elahi , Lai Wei , Murat Kocaoglu , Mahsa Ghasemi

We study the generic identifiability of causal effects in linear non-Gaussian acyclic models (LiNGAM) with latent variables. We consider the problem in two main settings: When the causal graph is known a priori, and when it is unknown. In…

Machine Learning · Statistics 2024-06-05 Daniele Tramontano , Yaroslav Kivva , Saber Salehkaleybar , Mathias Drton , Negar Kiyavash

Advancements in technologies related to working with omics data require novel computation methods to fully leverage information and help develop a better understanding of human diseases. This paper studies the effects of introducing graph…

Genomics · Quantitative Biology 2023-10-17 Nishant Rajadhyaksha , Aarushi Chitkara

Conventional supervised learning methods typically assume i.i.d samples and are found to be sensitive to out-of-distribution (OOD) data. We propose Generative Causal Representation Learning (GCRL) which leverages causality to facilitate…

Machine Learning · Computer Science 2023-04-27 Shayan Shirahmad Gale Bagi , Zahra Gharaee , Oliver Schulte , Mark Crowley

This tutorial provides a concise introduction to modern causal modeling by integrating potential outcomes and graphical methods. We motivate causal questions such as counterfactual reasoning under interventions and define binary treatments…

Methodology · Statistics 2025-06-27 Gauranga Kumar Baishya

This paper proposes a new eXplanation framework, called OrphicX, for generating causal explanations for any graph neural networks (GNNs) based on learned latent causal factors. Specifically, we construct a distinct generative model and…

Machine Learning · Computer Science 2022-04-12 Wanyu Lin , Hao Lan , Hao Wang , Baochun Li

Estimating individual treatment effects (ITE) from observational data is a critical task across various domains. However, many existing works on ITE estimation overlook the influence of hidden confounders, which remain unobserved at the…

Machine Learning · Computer Science 2024-12-06 Binbin Hu , Zhicheng An , Zhengwei Wu , Ke Tu , Ziqi Liu , Zhiqiang Zhang , Jun Zhou , Yufei Feng , Jiawei Chen

Graph Convolutional Network (GCN) has exhibited remarkable potential in improving graph-based clustering. To handle the general clustering scenario without a prior graph, these models estimate an initial graph beforehand to apply GCN.…

Machine Learning · Computer Science 2024-04-04 Mulin Chen , Bocheng Wang , Xuelong Li

Generalizable, transferrable, and robust representation learning on graph-structured data remains a challenge for current graph neural networks (GNNs). Unlike what has been developed for convolutional neural networks (CNNs) for image data,…

Machine Learning · Computer Science 2021-04-06 Yuning You , Tianlong Chen , Yongduo Sui , Ting Chen , Zhangyang Wang , Yang Shen

Graph neural network (GNN) explainers identify the important subgraph that ensures the prediction for a given graph. Until now, almost all GNN explainers are based on association, which is prone to spurious correlations. We propose {\name},…

Machine Learning · Computer Science 2024-07-15 Arman Behnam , Binghui Wang

Graph Neural Networks (GNNs) and their message passing framework that leverages both structural and feature information, have become a standard method for solving graph-based machine learning problems. However, these approaches still…

Machine Learning · Computer Science 2024-11-20 Simon Delarue , Thomas Bonald , Tiphaine Viard