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Solving partial differential equations (PDEs) serves as a cornerstone for modeling complex dynamical systems. Recent progresses have demonstrated grand benefits of data-driven neural-based models for predicting spatiotemporal dynamics…

Machine Learning · Computer Science 2025-03-04 Bocheng Zeng , Qi Wang , Mengtao Yan , Yang Liu , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Hao Sun

Graph neural networks (GNNs) based on message passing between neighboring nodes are known to be insufficient for capturing long-range interactions in graphs. In this project we study hierarchical message passing models that leverage a…

Machine Learning · Computer Science 2021-08-17 Ladislav Rampášek , Guy Wolf

We propose distributed deep neural networks (DDNNs) over distributed computing hierarchies, consisting of the cloud, the edge (fog) and end devices. While being able to accommodate inference of a deep neural network (DNN) in the cloud, a…

Computer Vision and Pattern Recognition · Computer Science 2017-09-08 Surat Teerapittayanon , Bradley McDanel , H. T. Kung

The message passing framework is the foundation of the immense success enjoyed by graph neural networks (GNNs) in recent years. In spite of its elegance, there exist many problems it provably cannot solve over given input graphs. This has…

Machine Learning · Computer Science 2022-02-23 Petar Veličković

We propose a new family of message passing techniques for MAP estimation in graphical models which we call {\em Sequential Reweighted Message Passing} (SRMP). Special cases include well-known techniques such as {\em Min-Sum Diffusion} (MSD)…

Artificial Intelligence · Computer Science 2017-01-20 Vladimir Kolmogorov

Message passing has evolved as an effective tool for designing Graph Neural Networks (GNNs). However, most existing methods for message passing simply sum or average all the neighboring features to update node representations. They are…

Machine Learning · Computer Science 2022-06-17 Rui Yang , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong

Neural network approaches for meta-learning distributions over functions have desirable properties such as increased flexibility and a reduced complexity of inference. Building on the successes of denoising diffusion models for generative…

Machine Learning · Statistics 2023-06-08 Vincent Dutordoir , Alan Saul , Zoubin Ghahramani , Fergus Simpson

In recent years, graph neural networks (GNN) have achieved unprecedented successes in node classification tasks. Although GNNs inherently encode specific inductive biases (e.g., acting as low-pass or high-pass filters), most existing…

Machine Learning · Computer Science 2025-07-22 Yule Li , Yifeng Lu , Zhen Wang , Zhewei Wei , Yaliang Li , Bolin Ding

Message Passing Neural Networks (MPNNs) have emerged as the {\em de facto} standard in graph representation learning. However, when it comes to link prediction, they often struggle, surpassed by simple heuristics such as Common Neighbor…

Machine Learning · Computer Science 2024-10-15 Kaiwen Dong , Zhichun Guo , Nitesh V. Chawla

Predicting the effect of amino acid mutations on enzyme thermodynamic stability (DDG) is fundamental to protein engineering and drug design. While recent deep learning approaches have shown promise, they often process sequence and structure…

Machine Learning · Computer Science 2025-11-10 Abigail Lin

A hallmark of graph neural networks is their ability to distinguish the isomorphism class of their inputs. This study derives hardness results for the classification variant of graph isomorphism in the message-passing model (MPNN). MPNN…

Machine Learning · Computer Science 2020-10-19 Andreas Loukas

Graph Neural Networks (GNNs) have shown superior performance for semi-supervised learning of numerous web applications, such as classification on web services and pages, analysis of online social networks, and recommendation in e-commerce.…

Social and Information Networks · Computer Science 2023-06-06 Keke Huang , Jing Tang , Juncheng Liu , Renchi Yang , Xiaokui Xiao

Accurate prediction of blood-brain barrier permeability (BBBP) is essential for central nervous system (CNS) drug development. While graph neural networks (GNNs) have advanced molecular property prediction, they often rely on molecular…

Machine Learning · Computer Science 2025-12-09 Trung Nguyen , Md Masud Rana , Farjana Tasnim Mukta , Chang-Guo Zhan , Duc Duy Nguyen

We provide a general framework for learning diffusion bridges that transport prior to target distributions. It includes existing diffusion models for generative modeling, but also underdamped versions with degenerate diffusion matrices,…

Machine Learning · Computer Science 2025-08-14 Denis Blessing , Julius Berner , Lorenz Richter , Gerhard Neumann

Since the Message Passing (Graph) Neural Networks (MPNNs) have a linear complexity with respect to the number of nodes when applied to sparse graphs, they have been widely implemented and still raise a lot of interest even though their…

Machine Learning · Computer Science 2021-06-15 Muhammet Balcilar , Pierre Héroux , Benoit Gaüzère , Pascal Vasseur , Sébastien Adam , Paul Honeine

The analogy to heat diffusion has enhanced our understanding of information flow in graphs and inspired the development of Graph Neural Networks (GNNs). However, most diffusion-based GNNs emulate passive heat diffusion, which still suffers…

Machine Learning · Computer Science 2025-10-23 Mengying Jiang

Constructing appropriate representations of molecules lies at the core of numerous tasks such as material science, chemistry and drug designs. Recent researches abstract molecules as attributed graphs and employ graph neural networks (GNN)…

Machine Learning · Computer Science 2021-07-29 Jianwen Chen , Shuangjia Zheng , Ying Song , Jiahua Rao , Yuedong Yang

Message-Passing Neural Networks (MPNNs) have become a cornerstone for processing and analyzing graph-structured data. However, their effectiveness is often hindered by phenomena such as over-squashing, where long-range dependencies or…

Machine Learning · Computer Science 2025-05-30 Shahaf E. Finder , Ron Shapira Weber , Moshe Eliasof , Oren Freifeld , Eran Treister

This paper studies structured node classification on graphs, where the predictions should consider dependencies between the node labels. In particular, we focus on solving the problem for partially labeled graphs where it is essential to…

Machine Learning · Computer Science 2023-06-21 Hyosoon Jang , Seonghyun Park , Sangwoo Mo , Sungsoo Ahn

Graph Neural Networks (GNNs) have emerged as a prominent research topic in the field of machine learning. Existing GNN models are commonly categorized into two types: spectral GNNs, which are designed based on polynomial graph filters, and…

Machine Learning · Computer Science 2023-09-01 Guanyu Cui , Zhewei Wei
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