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Agglomeration techniques can be successfully employed to reduce the computational costs of numerical simulations and stand at the basis of multilevel algebraic solvers. To automatically perform mesh agglomeration, we propose a novel…

Numerical Analysis · Mathematics 2025-08-08 Paola F. Antonietti , Mattia Corti , Gabriele Martinelli

Agglomeration-based strategies are important both within adaptive refinement algorithms and to construct scalable multilevel algebraic solvers. In order to automatically perform agglomeration of polygonal grids, we propose the use of…

Numerical Analysis · Mathematics 2023-03-17 P. F. Antonietti , N. Farenga , E. Manuzzi , G. Martinelli , L. Saverio

Graph Neural Networks (GNNs) have achieved promising performance in a variety of graph-focused tasks. Despite their success, however, existing GNNs suffer from two significant limitations: a lack of interpretability in their results due to…

Machine Learning · Statistics 2024-11-19 Wenzhuo Zhou , Annie Qu , Keiland W. Cooper , Norbert Fortin , Babak Shahbaba

Graph convolutional networks (GCNs) have been employed as a kind of significant tool on many graph-based applications recently. Inspired by convolutional neural networks (CNNs), GCNs generate the embeddings of nodes by aggregating the…

Machine Learning · Computer Science 2020-11-20 Tao Huang , Yihan Zhang , Jiajing Wu , Junyuan Fang , Zibin Zheng

Code clone detection is a fundamental task in software engineering that underpins refactoring, debugging, plagiarism detection, and vulnerability analysis. Existing methods often rely on singular representations such as abstract syntax…

Software Engineering · Computer Science 2025-10-29 Zixian Zhang , Takfarinas Saber

Multimodal recommendation enhances ranking by integrating user-item interactions with item content, which is particularly effective under sparse feedback and long-tail distributions. However, multimodal signals are inherently heterogeneous…

Artificial Intelligence · Computer Science 2026-02-27 Ji Dai , Quan Fang , Dengsheng Cai

A large number of real-world graphs or networks are inherently heterogeneous, involving a diversity of node types and relation types. Heterogeneous graph embedding is to embed rich structural and semantic information of a heterogeneous…

Social and Information Networks · Computer Science 2020-04-01 Xinyu Fu , Jiani Zhang , Ziqiao Meng , Irwin King

Graph deep learning models, which incorporate a natural inductive bias for a collection of atoms, are of immense interest in materials science and chemistry. Here, we introduce the Materials Graph Library (MatGL), an open-source graph deep…

A key challenge in learning from multimodal biological data is missing modalities, where data from one or more modalities are absent for some patients. Existing approaches either exclude patients with missing modalities, impute missing…

Machine Learning · Computer Science 2026-05-19 Sina Tabakhi , Chen , Chen , Haiping Lu

3D models are widely used in various industries, and mesh data has become an indispensable part of 3D modeling because of its unique advantages. Mesh data can provide an intuitive and practical expression of rich 3D information. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Ling Gao , Zhenyu Shu , Shiqing Xin

\texttt{Mixture-Models} is an open-source Python library for fitting Gaussian Mixture Models (GMM) and their variants, such as Parsimonious GMMs, Mixture of Factor Analyzers, MClust models, Mixture of Student's t distributions, etc. It…

Computation · Statistics 2024-02-19 Siva Rajesh Kasa , Hu Yijie , Santhosh Kumar Kasa , Vaibhav Rajan

We present MeshGraphNet-Transformer (MGN-T), a novel architecture that combines the global modeling capabilities of Transformers with the geometric inductive bias of MeshGraphNets, while preserving a mesh-based graph representation. MGN-T…

Machine Learning · Computer Science 2026-02-06 Mikel M. Iparraguirre , Iciar Alfaro , David Gonzalez , Elias Cueto

Mesh generation plays a crucial role in scientific computing. Traditional mesh generation methods, such as TFI and PDE-based methods, often struggle to achieve a balance between efficiency and mesh quality. To address this challenge,…

Machine Learning · Computer Science 2025-01-23 Jing Xiao , Xinhai Chen , Qingling Wang , Jie Liu

Deep learning-based approaches, particularly graph neural networks (GNNs), have gained prominence in simulating flexible deformations and contacts of solids, due to their ability to handle unstructured physical fields and nonlinear…

Machine Learning · Computer Science 2026-04-07 Zhe Feng , Shilong Tao , Haonan Sun , Shaohan Chen , Zhanxing Zhu , Yunhuai Liu

In many cutting-edge applications, high-fidelity computational models prove to be too slow for practical use and are therefore replaced by much faster surrogate models. Recently, deep learning techniques have increasingly been utilized to…

Machine Learning · Computer Science 2024-04-03 Saurabh Deshpande , Stéphane P. A. Bordas , Jakub Lengiewicz

Organizations have realized the importance of data analysis and its benefits. This in combination with Machine Learning algorithms has allowed to solve problems more easily, making these processes less time-consuming. Neural networks are…

Neural and Evolutionary Computing · Computer Science 2022-04-19 Alvaro J. Garcia-Tejedor , Alberto Nogales

Advancement in finite element methods have become essential in various disciplines, and in particular for Computational Fluid Dynamics (CFD), driving research efforts for improved precision and efficiency. While Convolutional Neural…

Machine Learning · Computer Science 2025-08-27 Paul Garnier , Jonathan Viquerat , Elie Hachem

While Graph Neural Networks (GNNs) recently became powerful tools in graph learning tasks, considerable efforts have been spent on improving GNNs' structural encoding ability. A particular line of work proposed subgraph GNNs that use…

Machine Learning · Computer Science 2023-10-31 Lecheng Kong , Jiarui Feng , Hao Liu , Dacheng Tao , Yixin Chen , Muhan Zhang

Graph Neural Networks (GNNs) are a promising deep learning approach for circumventing many real-world problems on graph-structured data. However, these models usually have at least one of four fundamental limitations: over-smoothing,…

Machine Learning · Computer Science 2022-10-03 Xun Liu , Alex Hay-Man Ng , Fangyuan Lei , Yikuan Zhang , Zhengmin Li

The recent introduction of Graph Neural Networks (GNNs) and their growing popularity in the past few years has enabled the application of deep learning algorithms to non-Euclidean, graph-structured data. GNNs have achieved state-of-the-art…

Machine Learning · Computer Science 2020-10-27 Tuomas P. Oikarinen , Daniel C. Hannah , Sohrob Kazerounian
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