English
Related papers

Related papers: What Expressivity Theory Misses: Message Passing C…

200 papers

Numerous recent works have analyzed the expressive power of message-passing graph neural networks (MPNNs), primarily utilizing combinatorial techniques such as the $1$-dimensional Weisfeiler-Leman test ($1$-WL) for the graph isomorphism…

Machine Learning · Computer Science 2023-11-03 Jan Böker , Ron Levie , Ningyuan Huang , Soledad Villar , Christopher Morris

Parameterized Quantum Circuits (PQCs) are essential to quantum machine learning and optimization algorithms. The expressibility of PQCs, which measures their ability to represent a wide range of quantum states, is a critical factor…

Graph Neural Networks (GNNs) have become essential for handling large-scale graph applications. However, the computational demands of GNNs necessitate the development of efficient methods to accelerate inference. Mixed precision…

Machine Learning · Computer Science 2025-05-15 Samir Moustafa , Nils M. Kriege , Wilfried N. Gansterer

Graph neural networks (GNNs), and especially message-passing neural networks, excel in various domains such as physics, drug discovery, and molecular modeling. The expressivity of GNNs with respect to their ability to discriminate…

Among the many variants of graph neural network (GNN) architectures capable of modeling data with cross-instance relations, an important subclass involves layers designed such that the forward pass iteratively reduces a graph-regularized…

Machine Learning · Computer Science 2025-03-03 Haitian Jiang , Renjie Liu , Zengfeng Huang , Yichuan Wang , Xiao Yan , Zhenkun Cai , Minjie Wang , David Wipf

While graph neural networks (GNNs) have achieved great success in learning from graph-structured data, their reliance on local, pairwise message passing restricts their ability to capture complex, high-order subgraph patterns. leading to…

Machine Learning · Computer Science 2025-09-12 Junda Ye , Zhongbao Zhang , Li Sun , Siqiang Luo

Message Passing Neural Networks (MPNNs) are a common type of Graph Neural Network (GNN), in which each node's representation is computed recursively by aggregating representations (messages) from its immediate neighbors akin to a…

Machine Learning · Computer Science 2022-04-22 Lingxiao Zhao , Wei Jin , Leman Akoglu , Neil Shah

Graph neural networks excel at graph representation learning but struggle with heterophilous data and long-range dependencies. And graph transformers address these issues through self-attention, yet face scalability and noise challenges on…

Machine Learning · Computer Science 2025-02-13 Xuanze Chen , Jiajun Zhou , Shanqing Yu , Qi Xuan

We introduce a new method to tag Multiword Expressions (MWEs) using a linguistically interpretable language-independent deep learning architecture. We specifically target discontinuity, an under-explored aspect that poses a significant…

Computation and Language · Computer Science 2019-04-26 Omid Rohanian , Shiva Taslimipoor , Samaneh Kouchaki , Le An Ha , Ruslan Mitkov

Supervised learning on molecules has incredible potential to be useful in chemistry, drug discovery, and materials science. Luckily, several promising and closely related neural network models invariant to molecular symmetries have already…

Machine Learning · Computer Science 2017-06-14 Justin Gilmer , Samuel S. Schoenholz , Patrick F. Riley , Oriol Vinyals , George E. Dahl

A fundamental challenge in probabilistic modeling is to balance expressivity and inference efficiency. Tractable probabilistic models (TPMs) aim to directly address this tradeoff by imposing constraints that guarantee efficient inference of…

Artificial Intelligence · Computer Science 2025-10-28 John Leland , YooJung Choi

Explainability techniques for Graph Neural Networks still have a long way to go compared to explanations available for both neural and decision decision tree-based models trained on tabular data. Using a task that straddles both graphs and…

Machine Learning · Computer Science 2021-06-25 Anjali Singh , Shamanth R Nayak K , Balaji Ganesan

The expressive power of message passing neural networks (MPNNs) is known to match the expressive power of the 1-dimensional Weisfeiler-Leman graph (1-WL) isomorphism test. To boost the expressive power of MPNNs, a number of graph neural…

Machine Learning · Computer Science 2020-06-18 Floris Geerts

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

Several generative models with elaborate training and sampling procedures have been proposed to accelerate structure-based drug design (SBDD); however, their empirical performance turns out to be suboptimal. We seek to better understand…

Machine Learning · Computer Science 2025-03-04 Rafał Karczewski , Samuel Kaski , Markus Heinonen , Vikas Garg

Graph neural networks (GNNs) have been predominantly driven by message-passing, where node representations are iteratively updated via local neighborhood aggregation. Despite their success, message-passing suffers from fundamental…

Machine Learning · Computer Science 2025-12-16 Zehong Wang , Zheyuan Zhang , Tianyi Ma , Chuxu Zhang , Yanfang Ye

There has been tremendous success in the field of graph neural networks (GNNs) as a result of the development of the message-passing (MP) layer, which updates the representation of a node by combining it with its neighbors to address…

Machine Learning · Computer Science 2022-02-11 Hyeokjin Kwon , Jong-Min Lee

Recently, implicit graph neural networks (GNNs) have been proposed to capture long-range dependencies in underlying graphs. In this paper, we introduce and justify two weaknesses of implicit GNNs: the constrained expressiveness due to their…

Machine Learning · Computer Science 2022-10-18 Juncheng Liu , Bryan Hooi , Kenji Kawaguchi , Xiaokui Xiao

The most popular design paradigm for Graph Neural Networks (GNNs) is 1-hop message passing -- aggregating information from 1-hop neighbors repeatedly. However, the expressive power of 1-hop message passing is bounded by the…

Machine Learning · Computer Science 2023-01-09 Jiarui Feng , Yixin Chen , Fuhai Li , Anindya Sarkar , Muhan Zhang

In recent years, Graph Neural Networks (GNNs) have achieved remarkable success in many graph mining tasks. However, scaling them to large graphs is challenging due to the high computational and storage costs of repeated feature propagation…

Machine Learning · Computer Science 2025-04-11 Yuxuan Liang , Wentao Zhang , Zeang Sheng , Ling Yang , Quanqing Xu , Jiawei Jiang , Yunhai Tong , Bin Cui