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Over-squashing and over-smoothing are two critical issues, that limit the capabilities of graph neural networks (GNNs). While over-smoothing eliminates the differences between nodes making them indistinguishable, over-squashing refers to…

Machine Learning · Computer Science 2023-09-01 Cedric Sanders , Andreas Roth , Thomas Liebig

We propose PiNet, a generalised differentiable attention-based pooling mechanism for utilising graph convolution operations for graph level classification. We demonstrate high sample efficiency and superior performance over other graph…

Machine Learning · Computer Science 2020-08-12 Peter Meltzer , Marcelo Daniel Gutierrez Mallea , Peter J. Bentley

Graph property prediction is drawing increasing attention in the recent years due to the fact that graphs are one of the most general data structures since they can contain an arbitrary number of nodes and connections between them, and it…

Machine Learning · Computer Science 2024-05-21 Eric Alcaide

Graph neural networks (GNNs) have been used effectively in different applications involving the processing of signals on irregular structures modeled by graphs. Relying on the use of shift-invariant graph filters, GNNs extend the operation…

Machine Learning · Computer Science 2020-03-05 Alejandro Parada-Mayorga , Luana Ruiz , Alejandro Ribeiro

Graph similarity computation aims to predict a similarity score between one pair of graphs to facilitate downstream applications, such as finding the most similar chemical compounds similar to a query compound or Fewshot 3D Action…

Machine Learning · Computer Science 2021-01-06 Haoyan Xu , Ziheng Duan , Jie Feng , Runjian Chen , Qianru Zhang , Zhongbin Xu , Yueyang Wang

This paper presents an $O^{*}(1.42^{n})$ time algorithm for the Maximum Cut problem on split graphs, along with a subexponential time algorithm for its decision variant.

Data Structures and Algorithms · Computer Science 2024-06-03 Marko Lalovic

Heterogeneous graphs are present in various domains, such as social networks, recommendation systems, and biological networks. Unlike homogeneous graphs, heterogeneous graphs consist of multiple types of nodes and edges, each representing…

Social and Information Networks · Computer Science 2024-10-17 Hritaban Ghosh , Chen Changyu , Arunesh Sinha , Shamik Sural

Heterogeneous graph neural network has unleashed great potential on graph representation learning and shown superior performance on downstream tasks such as node classification and clustering. Existing heterogeneous graph learning networks…

Machine Learning · Computer Science 2022-11-01 Tiehua Zhang , Yuze Liu , Yao Yao , Youhua Xia , Xin Chen , Xiaowei Huang , Jiong Jin

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

Image classification is considered, and a hierarchical max-pooling model with additional local pooling is introduced. Here the additional local pooling enables the hierachical model to combine parts of the image which have a variable…

Computer Vision and Pattern Recognition · Computer Science 2021-06-10 Benjamin Walter

Flows in networks (or graphs) play a significant role in numerous computer vision tasks. The scalar-valued edges in these graphs often lead to a loss of information and thereby to limitations in terms of expressiveness. For example,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Viktoria Ehm , Daniel Cremers , Florian Bernard

Deep convolutional networks have recently shown excellent performance on Fine-Grained Vehicle Classification. Based on these existing works, we consider that the back-probation algorithm does not focus on extracting less discriminative…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Zhanyu Ma , Dongliang Chang , Xiaoxu Li

Recently, there has been considerable research interest in graph clustering aimed at data partition using the graph information. However, one limitation of the most of graph-based methods is that they assume the graph structure to operate…

Social and Information Networks · Computer Science 2022-11-11 Yiming Wang , Dongxia Chang , Zhiqian Fu , Yao Zhao

We introduce a parametric form of pooling, based on a Gaussian, which can be optimized alongside the features in a single global objective function. By contrast, existing pooling schemes are based on heuristics (e.g. local maximum) and have…

Computer Vision and Pattern Recognition · Computer Science 2012-07-03 Matthew D. Zeiler , Rob Fergus

Hyper-parameter selection remains a daunting task when building a pattern recognition architecture which performs well, particularly in recently constructed visual pipeline models for feature extraction. We re-formulate pooling in an…

Computer Vision and Pattern Recognition · Computer Science 2013-01-17 Derek Rose , Itamar Arel

Graph pooling is commonly applied in graph classification, yet its empirical gains over standard WL-1 expressive GNNs are often marginal or inconsistent. We study this gap by analysing the interaction between node features and graph…

Machine Learning · Computer Science 2026-05-08 Jan von Pichowski , Alžbeta Hrabošová , Ingo Scholtes , Christopher Blöcker

Following recent advances in morphological neural networks, we propose to study in more depth how Max-plus operators can be exploited to define morphological units and how they behave when incorporated in layers of conventional neural…

Statistics Theory · Mathematics 2019-04-09 Yunxiang Zhang , Samy Blusseau , Santiago Velasco-Forero , Isabelle Bloch , Jesus Angulo

Recent advances in dynamic graph processing have enabled the analysis of highly dynamic graphs with change at rates as high as millions of edge changes per second. Solutions in this domain, however, have been demonstrated only for…

Data Structures and Algorithms · Computer Science 2023-11-14 Juntong Luo , Scott Sallinen , Matei Ripeanu

Graph neural networks (GNN) has been demonstrated to be effective in classifying graph structures. To further improve the graph representation learning ability, hierarchical GNN has been explored. It leverages the differentiable pooling to…

Social and Information Networks · Computer Science 2019-12-19 Kaixiong Zhou , Qingquan Song , Xiao Huang , Daochen Zha , Na Zou , Xia Hu

Fine-grained geometry, captured by aggregation of point features in local regions, is crucial for object recognition and scene understanding in point clouds. Nevertheless, existing preeminent point cloud backbones usually incorporate…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Jie Wang , Jianan Li , Lihe Ding , Ying Wang , Tingfa Xu
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