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One major drawback of state-of-the-art artificial intelligence is its lack of explainability. One approach to solve the problem is taking causality into account. Causal mechanisms can be described by structural causal models. In this work,…

Machine Learning · Statistics 2021-09-07 Nico Reick , Felix Wiewel , Alexander Bartler , Bin Yang

Unsupervised/self-supervised graph neural networks (GNN) are vulnerable to inherent randomness in the input graph data which greatly affects the performance of the model in downstream tasks. In this paper, we alleviate the interference of…

Machine Learning · Computer Science 2023-08-14 Yifei Wang , Yupan Wang , Zeyu Zhang , Song Yang , Kaiqi Zhao , Jiamou Liu

The sampling of probability distributions specified up to a normalization constant is an important problem in both machine learning and statistical mechanics. While classical stochastic sampling methods such as Markov Chain Monte Carlo…

Machine Learning · Statistics 2020-10-27 Hao Wu , Jonas Köhler , Frank Noé

Parametric causal modelling techniques rarely provide functionality for counterfactual estimation, often at the expense of modelling complexity. Since causal estimations depend on the family of functions used to model the data, simplistic…

Machine Learning · Statistics 2020-06-16 Álvaro Parafita , Jordi Vitrià

Background: The E-value has become widely used for assessing robustness to unmeasured confounding in observational studies, but the original framework was developed for single time-point exposure-outcome settings. This study extends the…

Applications · Statistics 2026-03-02 Md. Niamul Islam Sium

Graph Neural Networks (GNNs) have gained considerable traction for their capability to effectively process topological data, yet their interpretability remains a critical concern. Current interpretation methods are dominated by post-hoc…

Machine Learning · Computer Science 2024-02-08 Jiahua Rao , Jiancong Xie , Hanjing Lin , Shuangjia Zheng , Zhen Wang , Yuedong Yang

A large number of real-world networks include multiple types of nodes and edges. Graph Neural Network (GNN) emerged as a deep learning framework to generate node and graph embeddings for downstream machine learning tasks. However, popular…

Machine Learning · Computer Science 2024-11-26 Ziynet Nesibe Kesimoglu , Serdar Bozdag

Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. We introduce an extension of the generalized…

Statistics Theory · Mathematics 2015-08-18 M. Wojtyś , G. Marra

Counterfactual explanations have emerged as a powerful tool to unveil the opaque decision-making processes of graph neural networks (GNNs). However, existing techniques primarily focus on edge modifications, often overlooking the crucial…

Machine Learning · Computer Science 2025-02-17 Flavio Giorgi , Fabrizio Silvestri , Gabriele Tolomei

Graph neural networks (GNNs) are widely utilized to capture the information spreading patterns in graphs. While remarkable performance has been achieved, there is a new trending topic of evaluating node influence. We propose a new method of…

Machine Learning · Computer Science 2024-06-04 Weikai Li , Zhiping Xiao , Xiao Luo , Yizhou Sun

Graph Neural Networks (GNNs) have risen to prominence in learning representations for graph structured data. A single GNN layer typically consists of a feature transformation and a feature aggregation operation. The former normally uses…

Machine Learning · Computer Science 2021-10-19 Yao Ma , Xiaorui Liu , Tong Zhao , Yozen Liu , Jiliang Tang , Neil Shah

Normalizing Flows (NFs) are able to model complicated distributions p(y) with strong inter-dimensional correlations and high multimodality by transforming a simple base density p(z) through an invertible neural network under the change of…

Machine Learning · Computer Science 2023-11-14 Christina Winkler , Daniel Worrall , Emiel Hoogeboom , Max Welling

Node representation learning, such as Graph Neural Networks (GNNs), has emerged as a pivotal method in machine learning. The demand for reliable explanation generation surges, yet unsupervised models remain underexplored. To bridge this…

Machine Learning · Computer Science 2026-05-19 Hyunju Kang , Geonhee Han , Hogun Park

Graph Neural Networks (GNNs) have emerged as a powerful category of learning architecture for handling graph-structured data. However, existing GNNs typically ignore crucial structural characteristics in node-induced subgraphs, which thus…

Machine Learning · Computer Science 2023-06-13 Kaixuan Chen , Shunyu Liu , Tongtian Zhu , Tongya Zheng , Haofei Zhang , Zunlei Feng , Jingwen Ye , Mingli Song

Graph Neural Networks (GNNs) have become the de facto standard for analyzing graph-structured data, leveraging message-passing techniques to capture both structural and node feature information. However, recent studies have raised concerns…

Machine Learning · Computer Science 2024-10-22 Yujia Wu , Bo Yang , Yang Zhao , Elynn Chen , Yuzhou Chen , Zheshi Zheng

The cumulative distribution network (CDN) is a recently developed class of probabilistic graphical models (PGMs) permitting a copula factorization, in which the CDF, rather than the density, is factored. Despite there being much recent…

Machine Learning · Statistics 2013-10-17 Stefan Douglas Webb

Quantifying uncertainty in medical image segmentation applications is essential, as it is often connected to vital decision-making. Compelling attempts have been made in quantifying the uncertainty in image segmentation architectures, e.g.…

Computer Vision and Pattern Recognition · Computer Science 2021-08-06 M. M. A. Valiuddin , C. G. A. Viviers , R. J. G. van Sloun , P. H. N. de With , F. van der Sommen

We introduce graph normalizing flows: a new, reversible graph neural network model for prediction and generation. On supervised tasks, graph normalizing flows perform similarly to message passing neural networks, but at a significantly…

Machine Learning · Computer Science 2019-05-31 Jenny Liu , Aviral Kumar , Jimmy Ba , Jamie Kiros , Kevin Swersky

The development of safety validation methods is essential for the safe deployment and operation of Automated Driving Systems (ADSs). One of the goals of safety validation is to prospectively evaluate the risk of an ADS dealing with…

Robotics · Computer Science 2025-07-31 Erwin de Gelder , Maren Buermann , Olaf Op den Camp

This study introduces GCO-HPIF, a general machine-learning-based framework to predict and explain the computational hardness of combinatorial optimization problems that can be represented on graphs. The framework consists of two stages. In…

Machine Learning · Computer Science 2025-12-25 Bharat Sharman , Elkafi Hassini