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Gaussian processes (GPs) are an attractive class of machine learning models because of their simplicity and flexibility as building blocks of more complex Bayesian models. Meanwhile, graph neural networks (GNNs) emerged recently as a…

机器学习 · 计算机科学 2023-02-14 Zehao Niu , Mihai Anitescu , Jie Chen

Graph Neural Networks (GNNs) have emerged as a notorious alternative to address learning problems dealing with non-Euclidean datasets. However, although most works assume that the graph is perfectly known, the observed topology is prone to…

机器学习 · 计算机科学 2023-12-12 Victor M. Tenorio , Samuel Rey , Antonio G. Marques

Employing equivariance in neural networks leads to greater parameter efficiency and improved generalization performance through the encoding of domain knowledge in the architecture; however, the majority of existing approaches require an a…

机器学习 · 计算机科学 2023-05-31 Emmanouil Theodosis , Karim Helwani , Demba Ba

The rapid progress in image classification has been largely driven by the adoption of Graph Convolutional Networks (GCNs), which offer a robust framework for handling complex data structures. This study introduces a novel approach that…

计算机视觉与模式识别 · 计算机科学 2025-08-22 Mustafa Mohammadi Gharasuie , Luis Rueda

Graph neural network (GNN) models are increasingly being used for the classification of electroencephalography (EEG) data. However, GNN-based diagnosis of neurological disorders, such as Alzheimer's disease (AD), remains a relatively…

神经元与认知 · 定量生物学 2023-12-21 Dominik Klepl , Fei He , Min Wu , Daniel J. Blackburn , Ptolemaios G. Sarrigiannis

The accurate prediction of changes in protein stability under multiple amino acid substitutions is essential for realising true in-silico protein re-design. To this purpose, we propose improvements to state-of-the-art Deep learning (DL)…

生物大分子 · 定量生物学 2023-06-01 Sebastien Boyer , Sam Money-Kyrle , Oliver Bent

Graph Neural Networks (GNNs) require a relatively large number of labeled nodes and a reliable/uncorrupted graph connectivity structure in order to obtain good performance on the semi-supervised node classification task. The performance of…

机器学习 · 计算机科学 2021-07-01 Abdullah Alchihabi , Yuhong Guo

Graph Neural Networks (GNNs) have achieved unprecedented success in identifying categorical labels of graphs. However, most existing graph classification problems with GNNs follow the protocol of balanced data splitting, which misaligns…

机器学习 · 计算机科学 2022-09-29 Yu Wang , Yuying Zhao , Neil Shah , Tyler Derr

Rotation-invariance is a desired property of machine-learning models for medical image analysis and in particular for computational pathology applications. We propose a framework to encode the geometric structure of the special Euclidean…

计算机视觉与模式识别 · 计算机科学 2020-02-21 Maxime W. Lafarge , Erik J. Bekkers , Josien P. W. Pluim , Remco Duits , Mitko Veta

The accurate description of electrostatic interactions remains a challenging problem for fitted potential-energy functions. The commonly used fixed partial-charge approximation fails to reproduce the electrostatic potential at short range…

化学物理 · 物理学 2022-04-05 Moritz Thürlemann , Lennard Böselt , Sereina Riniker

Adversarial examples reveal critical vulnerabilities in deep neural networks by exploiting their sensitivity to imperceptible input perturbations. While adversarial training remains the predominant defense strategy, it often incurs…

机器学习 · 计算机科学 2025-11-04 Longwei Wang , Ifrat Ikhtear Uddin , KC Santosh , Chaowei Zhang , Xiao Qin , Yang Zhou

Although group convolution operators are increasingly used in deep convolutional neural networks to improve the computational efficiency and to reduce the number of parameters, most existing methods construct their group convolution…

机器学习 · 计算机科学 2020-09-30 Qingbei Guo , Xiao-Jun Wu , Josef Kittler , Zhiquan Feng

State-of-the-art radio observatories produce large amounts of data which can be used to study the properties of radio galaxies. However, with this rapid increase in data volume, it has become unrealistic to manually process all of the…

天体物理仪器与方法 · 物理学 2023-04-12 Kevin Brand , Trienko L. Grobler , Waldo Kleynhans , Mattia Vaccari , Matthew Prescott , Burger Becker

Convolutional neural networks (CNNs) allow for parameter sharing and translational equivariance by using convolutional kernels in their linear layers. By restricting these kernels to be SO(3)-steerable, CNNs can further improve parameter…

图像与视频处理 · 电气工程与系统科学 2024-05-20 Ivan Diaz , Mario Geiger , Richard Iain McKinley

The expressive power of Graph Neural Networks (GNNs) has been studied extensively through the Weisfeiler-Leman (WL) graph isomorphism test. However, standard GNNs and the WL framework are inapplicable for geometric graphs embedded in…

机器学习 · 计算机科学 2024-03-05 Chaitanya K. Joshi , Cristian Bodnar , Simon V. Mathis , Taco Cohen , Pietro Liò

We introduce a novel architecture for graph networks which is equivariant to any transformation in the coordinate embeddings that preserves the distance between neighbouring nodes. In particular, it is equivariant to the Euclidean and…

机器学习 · 计算机科学 2021-07-13 Francesco Farina , Emma Slade

Graph Neural Networks (GNNs) have become a prevailing tool for learning physical dynamics. However, they still encounter several challenges: 1) Physical laws abide by symmetry, which is a vital inductive bias accounting for model…

机器学习 · 计算机科学 2022-10-14 Jiaqi Han , Wenbing Huang , Hengbo Ma , Jiachen Li , Joshua B. Tenenbaum , Chuang Gan

Graph-structured data are pervasive across domains including social networks, biological networks, and knowledge graphs. Due to their non-Euclidean nature, such data pose significant challenges to conventional machine learning methods. This…

机器学习 · 计算机科学 2025-07-29 Yihan Wang , Jianing Zhao

Deep learning utilizing deep neural networks (DNNs) has achieved a lot of success recently in many important areas such as computer vision, natural language processing, and recommendation systems. The lack of convexity for DNNs has been…

机器学习 · 计算机科学 2022-06-14 Jingcheng Zhou , Wei Wei , Xing Li , Bowen Pang , Zhiming Zheng

State-of-the-art deep learning systems often require large amounts of data and computation. For this reason, leveraging known or unknown structure of the data is paramount. Convolutional neural networks (CNNs) are successful examples of…

计算机视觉与模式识别 · 计算机科学 2020-12-07 Carlos Esteves