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This paper presents a new approach to the solution of Probabilistic Risk Assessment (PRA) models using the combination of Reinforcement Learning (RL) and Graph Neural Networks (GNNs). The paper introduces and demonstrates the concept using…

Systems and Control · Electrical Eng. & Systems 2024-02-29 Joachim Grimstad , Andrey Morozov

Graph Neural Networks (GNNs), which aggregate features from neighbors, are widely used for graph-structured data processing due to their powerful representation learning capabilities. It is generally believed that GNNs can implicitly remove…

Machine Learning · Computer Science 2022-09-30 Songtao Liu , Rex Ying , Hanze Dong , Lu Lin , Jinghui Chen , Dinghao Wu

In recent years, graph neural networks (GNNs) have shown tremendous promise in solving problems in high energy physics, materials science, and fluid dynamics. In this work, we introduce a new application for GNNs in the physical sciences:…

Instrumentation and Methods for Astrophysics · Physics 2026-02-17 Sidharth Kannan , Pooyan Goodarzi , Evangelos E. Papalexakis , Jonathan W. Richardson

Many scientific datasets are of high dimension, and the analysis usually requires visual manipulation by retaining the most important structures of data. Principal curve is a widely used approach for this purpose. However, many existing…

Artificial Intelligence · Computer Science 2016-01-19 Qi Mao , Li Wang , Ivor W. Tsang , Yijun Sun

Graph-structured data is ubiquitous in practice and often processed using graph neural networks (GNNs). With the adoption of recent laws ensuring the ``right to be forgotten'', the problem of graph data removal has become of significant…

Machine Learning · Computer Science 2022-11-01 Eli Chien , Chao Pan , Olgica Milenkovic

We introduce Graph Neural Processes (GNP), inspired by the recent work in conditional and latent neural processes. A Graph Neural Process is defined as a Conditional Neural Process that operates on arbitrary graph data. It takes features of…

Machine Learning · Computer Science 2019-10-03 Andrew Carr , David Wingate

Graph neural networks (GNNs) are emerging for machine learning research on graph-structured data. GNNs achieve state-of-the-art performance on many tasks, but they face scalability challenges when it comes to real-world applications that…

Machine Learning · Computer Science 2026-04-02 Shichang Zhang , Atefeh Sohrabizadeh , Cheng Wan , Zijie Huang , Ziniu Hu , Yewen Wang , Yingyan , Lin , Jason Cong , Yizhou Sun

Geometric graphs are a special kind of graph with geometric features, which are vital to model many scientific problems. Unlike generic graphs, geometric graphs often exhibit physical symmetries of translations, rotations, and reflections,…

Graph Neural Networks (GNNs) have emerged as a powerful and flexible framework for representation learning on irregular data. As they generalize the operations of classical CNNs on grids to arbitrary topologies, GNNs also bring much of the…

Machine Learning · Computer Science 2021-03-31 Mehdi Bahri , Gaétan Bahl , Stefanos Zafeiriou

A long-standing goal in deep learning has been to characterize the learning behavior of black-box models in a more interpretable manner. For graph neural networks (GNNs), considerable advances have been made in formalizing what functions…

Machine Learning · Computer Science 2024-06-19 Chenxiao Yang , Qitian Wu , David Wipf , Ruoyu Sun , Junchi Yan

The problem of inferring unknown graph edges from numerical data at a graph's nodes appears in many forms across machine learning. We study a version of this problem that arises in the field of \emph{landscape genetics}, where genetic…

Machine Learning · Computer Science 2021-03-11 Prathamesh Dharangutte , Christopher Musco

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

Machine Learning · Computer Science 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

One of the hot topics in machine learning is the field of GNN. The complexity of graph data has imposed significant challenges on existing machine learning algorithms. Recently, many studies on extending deep learning approaches for graph…

Machine Learning · Computer Science 2024-03-22 László Kovács , Ali Jlidi

Optimization over trained machine learning models has applications including: verification, minimizing neural acquisition functions, and integrating a trained surrogate into a larger decision-making problem. This paper formulates and solves…

Optimization and Control · Mathematics 2023-10-13 Shiqiang Zhang , Juan S. Campos , Christian Feldmann , David Walz , Frederik Sandfort , Miriam Mathea , Calvin Tsay , Ruth Misener

Graph Neural Networks (GNNs) have achieved notable success in the analysis of non-Euclidean data across a wide range of domains. However, their applicability is constrained by the dependence on the observed graph structure. To solve this…

Machine Learning · Computer Science 2024-09-19 Ziyan Wang , Yaxuan He , Bin Liu

We present GERN, a novel scalable framework for training GNNs in node classification tasks, based on effective resistance, a standard tool in spectral graph theory. Our method progressively refines the GNN weights on a sequence of random…

Machine Learning · Computer Science 2025-02-25 Francesco Bonchi , Claudio Gentile , Francesco Paolo Nerini , André Panisson , Fabio Vitale

Pattern recognition problems in high energy physics are notably different from traditional machine learning applications in computer vision. Reconstruction algorithms identify and measure the kinematic properties of particles produced in…

We present a framework for solving a broad class of ill-posed inverse problems governed by partial differential equations (PDEs), where the target coefficients of the forward operator are recovered through an iterative regularization scheme…

Graph Neural Networks (GNNs) are a new and increasingly popular family of deep neural network architectures to perform learning on graphs. Training them efficiently is challenging due to the irregular nature of graph data. The problem…

Machine Learning · Computer Science 2021-06-15 Marco Serafini , Hui Guan

Graph neural networks (GNNs) have been widely applied in the recommendation tasks and have obtained very appealing performance. However, most GNN-based recommendation methods suffer from the problem of data sparsity in practice. Meanwhile,…

Information Retrieval · Computer Science 2021-12-15 Yiqi Wang , Chaozhuo Li , Zheng Liu , Mingzheng Li , Jiliang Tang , Xing Xie , Lei Chen , Philip S. Yu