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Graph Neural Networks (GNNs) have emerged as a powerful and flexible framework for representation learning on irregular data. As they generalize the operations of classical CNNs on grids to arbitrary topologies, GNNs also bring much of the…

Machine Learning · Computer Science 2021-03-31 Mehdi Bahri , Gaétan Bahl , Stefanos Zafeiriou

This paper proposes a generic method to learn interpretable convolutional filters in a deep convolutional neural network (CNN) for object classification, where each interpretable filter encodes features of a specific object part. Our method…

Machine Learning · Computer Science 2020-03-13 Quanshi Zhang , Xin Wang , Ying Nian Wu , Huilin Zhou , Song-Chun Zhu

The success of deep learning has revolutionized many fields of research including areas of computer vision, text and speech processing. Enormous research efforts have led to numerous methods that are capable of efficiently analyzing data,…

Machine Learning · Computer Science 2020-07-20 Christoph Heindl

We present simplicial neural networks (SNNs), a generalization of graph neural networks to data that live on a class of topological spaces called simplicial complexes. These are natural multi-dimensional extensions of graphs that encode not…

Machine Learning · Computer Science 2020-12-29 Stefania Ebli , Michaël Defferrard , Gard Spreemann

Graph Convolutional Neural Networks (GCNNs) extend classical CNNs to graph data domain, such as brain networks, social networks and 3D point clouds. It is critical to identify an appropriate graph for the subsequent graph convolution.…

Machine Learning · Computer Science 2019-09-12 Jiaxiang Tang , Wei Hu , Xiang Gao , Zongming Guo

Graph convolutional networks (GCNs) are a widely used method for graph representation learning. We investigate the power of GCNs, as a function of their number of layers, to distinguish between different random graph models on the basis of…

Machine Learning · Statistics 2020-02-14 Abram Magner , Mayank Baranwal , Alfred O. Hero

Graph Neural Networks (GNNs) are powerful deep learning methods for Non-Euclidean data. Popular GNNs are message-passing algorithms (MPNNs) that aggregate and combine signals in a local graph neighborhood. However, shallow MPNNs tend to…

Machine Learning · Statistics 2022-11-08 Ningyuan Huang , Soledad Villar , Carey E. Priebe , Da Zheng , Chengyue Huang , Lin Yang , Vladimir Braverman

Convolutional neural networks (CNNs) have achieved breakthrough performances in a wide range of applications including image classification, semantic segmentation, and object detection. Previous research on characterizing the generalization…

Machine Learning · Statistics 2019-10-04 Shan Lin , Jingwei Zhang

Convolutional neural networks (CNNs) are commonplace in high-performing solutions to many real-world problems, such as audio classification. CNNs have many parameters and filters, with some having a larger impact on the performance than…

Sound · Computer Science 2023-05-08 James A King , Arshdeep Singh , Mark D. Plumbley

Graph convolutional networks (GCNs) are a powerful deep learning approach for graph-structured data. Recently, GCNs and subsequent variants have shown superior performance in various application areas on real-world datasets. Despite their…

Machine Learning · Computer Science 2020-07-07 Ming Chen , Zhewei Wei , Zengfeng Huang , Bolin Ding , Yaliang Li

Machine learning frameworks such as graph neural networks typically rely on a given, fixed graph to exploit relational inductive biases and thus effectively learn from network data. However, when said graphs are (partially) unobserved,…

Machine Learning · Computer Science 2022-05-20 Max Wasserman , Saurabh Sihag , Gonzalo Mateos , Alejandro Ribeiro

Graph Convolutional Neural Networks (GCNN) are becoming a preferred model for data processing on irregular domains, yet their analysis and principles of operation are rarely examined due to the black box nature of NNs. To this end, we…

Machine Learning · Computer Science 2021-08-25 Ljubisa Stankovic , Danilo Mandic

Graph neural networks (GNNs) have recently grown in popularity in the field of artificial intelligence (AI) due to their unique ability to ingest relatively unstructured data types as input data. Although some elements of the GNN…

Machine Learning · Computer Science 2021-12-28 Isaac Ronald Ward , Jack Joyner , Casey Lickfold , Yulan Guo , Mohammed Bennamoun

Lots of learning tasks require dealing with graph data which contains rich relation information among elements. Modeling physics systems, learning molecular fingerprints, predicting protein interface, and classifying diseases demand a model…

Machine Learning · Computer Science 2021-10-07 Jie Zhou , Ganqu Cui , Shengding Hu , Zhengyan Zhang , Cheng Yang , Zhiyuan Liu , Lifeng Wang , Changcheng Li , Maosong Sun

Graphs are fundamental data structures which concisely capture the relational structure in many important real-world domains, such as knowledge graphs, physical and social interactions, language, and chemistry. Here we introduce a powerful…

Machine Learning · Computer Science 2018-03-12 Yujia Li , Oriol Vinyals , Chris Dyer , Razvan Pascanu , Peter Battaglia

In the last decade or so, we have witnessed deep learning reinvigorating the machine learning field. It has solved many problems in the domains of computer vision, speech recognition, natural language processing, and various other tasks…

Machine Learning · Computer Science 2021-09-09 Lilapati Waikhom , Ripon Patgiri

In today's digital age, Convolutional Neural Networks (CNNs), a subset of Deep Learning (DL), are widely used for various computer vision tasks such as image classification, object detection, and image segmentation. There are numerous types…

Machine Learning · Computer Science 2024-02-29 Abolfazl Younesi , Mohsen Ansari , MohammadAmin Fazli , Alireza Ejlali , Muhammad Shafique , Jörg Henkel

Graph convolutional neural networks (GCNNs) have been widely used in graph learning. It has been observed that the smoothness functional on graphs can be defined in terms of the graph Laplacian. This fact points out in the direction of…

Machine Learning · Computer Science 2020-09-30 Asif Salim , Sumitra S

Graph Neural Networks (GNNs) are an effective framework for representation learning of graphs. GNNs follow a neighborhood aggregation scheme, where the representation vector of a node is computed by recursively aggregating and transforming…

Machine Learning · Computer Science 2019-02-26 Keyulu Xu , Weihua Hu , Jure Leskovec , Stefanie Jegelka

Recovering an image from a noisy observation is a key problem in signal processing. Recently, it has been shown that data-driven approaches employing convolutional neural networks can outperform classical model-based techniques, because…

Image and Video Processing · Electrical Eng. & Systems 2019-05-30 Diego Valsesia , Giulia Fracastoro , Enrico Magli