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Training deep graph neural networks (GNNs) is notoriously hard. Besides the standard plights in training deep architectures such as vanishing gradients and overfitting, it also uniquely suffers from over-smoothing, information squashing,…

Machine Learning · Computer Science 2022-05-10 Tianlong Chen , Kaixiong Zhou , Keyu Duan , Wenqing Zheng , Peihao Wang , Xia Hu , Zhangyang Wang

Graph Neural Networks (GNNs) have become a standard approach for learning from graph-structured data. However, their reliance on parametric classifiers (most often linear softmax layers) limits interpretability and sometimes hinders…

Machine Learning · Computer Science 2026-02-03 Zeljko Bolevic , Milos Brajovic , Isidora Stankovic , Ljubisa Stankovic

Recent work by Baratin et al. (2021) sheds light on an intriguing pattern that occurs during the training of deep neural networks: some layers align much more with data compared to other layers (where the alignment is defined as the…

Machine Learning · Statistics 2023-04-12 Yizhang Lou , Chris Mingard , Yoonsoo Nam , Soufiane Hayou

There currently exist two extreme viewpoints for neural network feature learning -- (i) Neural networks simply implement a kernel method (a la NTK) and hence no features are learned (ii) Neural networks can represent (and hence learn)…

Machine Learning · Computer Science 2024-04-09 Mahesh Lorik Yadav , Harish Guruprasad Ramaswamy , Chandrashekar Lakshminarayanan

Geometric deep learning has made great strides towards generalizing the design of structure-aware neural networks from traditional domains to non-Euclidean ones, giving rise to graph neural networks (GNN) that can be applied to…

Machine Learning · Statistics 2024-10-28 Frederik Wenkel , Yimeng Min , Matthew Hirn , Michael Perlmutter , Guy Wolf

As a powerful tool for modeling complex relationships, hypergraphs are gaining popularity from the graph learning community. However, commonly used frameworks in deep hypergraph learning focus on hypergraphs with edge-independent vertex…

Machine Learning · Computer Science 2022-07-26 Jiying Zhang , Fuyang Li , Xi Xiao , Tingyang Xu , Yu Rong , Junzhou Huang , Yatao Bian

We show that simple patch-based models, such as epitomes, can have superior performance to the current state of the art in semantic segmentation and label super-resolution, which uses deep convolutional neural networks. We derive a new…

Computer Vision and Pattern Recognition · Computer Science 2021-12-15 Nikolay Malkin , Anthony Ortiz , Caleb Robinson , Nebojsa Jojic

Graph Neural Networks (GNNs) are deep learning models that take graph data as inputs, and they are applied to various tasks such as traffic prediction and molecular property prediction. However, owing to the complexity of the GNNs, it has…

Machine Learning · Computer Science 2021-11-02 Tetsu Kasanishi , Xueting Wang , Toshihiko Yamasaki

Equivariant Graph Neural Networks (GNNs) have demonstrated significant success across various applications. To achieve completeness -- that is, the universal approximation property over the space of equivariant functions -- the network must…

Machine Learning · Computer Science 2025-10-16 Jiacheng Cen , Anyi Li , Ning Lin , Tingyang Xu , Yu Rong , Deli Zhao , Zihe Wang , Wenbing Huang

Graph Neural Networks (GNNs) are an emerging research field. This specialized Deep Neural Network (DNN) architecture is capable of processing graph structured data and bridges the gap between graph processing and Deep Learning (DL). As…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-24 Jana Vatter , Ruben Mayer , Hans-Arno Jacobsen

Graph neural networks (GNNs) are deep learning architectures for machine learning problems on graphs. It has recently been shown that the expressiveness of GNNs can be characterised precisely by the combinatorial Weisfeiler-Leman algorithms…

Machine Learning · Computer Science 2022-01-11 Martin Grohe

We propose a general framework called Network Dissection for quantifying the interpretability of latent representations of CNNs by evaluating the alignment between individual hidden units and a set of semantic concepts. Given any CNN model,…

Computer Vision and Pattern Recognition · Computer Science 2017-04-20 David Bau , Bolei Zhou , Aditya Khosla , Aude Oliva , Antonio Torralba

It is commonly believed that the hidden layers of deep neural networks (DNNs) attempt to extract informative features for learning tasks. In this paper, we formalize this intuition by showing that the features extracted by DNN coincide with…

Information Theory · Computer Science 2019-05-17 Shao-Lun Huang , Xiangxiang Xu , Lizhong Zheng , Gregory W. Wornell

Graph Neural Networks (GNNs) have emerged as the predominant approach for learning over graph-structured data. However, most GNNs operate as black-box models and require post-hoc explanations, which may not suffice in high-stakes scenarios…

Machine Learning · Computer Science 2025-10-14 Maya Bechler-Speicher , Amir Globerson , Ran Gilad-Bachrach

Deep convolutional neural networks (DCNNs) have attracted much attention recently, and have shown to be able to recognize thousands of object categories in natural image databases. Their architecture is somewhat similar to that of the human…

Computer Vision and Pattern Recognition · Computer Science 2016-09-13 Saeed Reza Kheradpisheh , Masoud Ghodrati , Mohammad Ganjtabesh , Timothée Masquelier

Deep multi-task learning attracts much attention in recent years as it achieves good performance in many applications. Feature learning is important to deep multi-task learning for sharing common information among tasks. In this paper, we…

Machine Learning · Computer Science 2020-02-13 Pengxin Guo , Chang Deng , Linjie Xu , Xiaonan Huang , Yu Zhang

Graph neural networks (GNNs) are a class of deep models that operate on data with arbitrary topology represented as graphs. We introduce an efficient memory layer for GNNs that can jointly learn node representations and coarsen the graph.…

Machine Learning · Computer Science 2020-06-11 Amir Hosein Khasahmadi , Kaveh Hassani , Parsa Moradi , Leo Lee , Quaid Morris

Hypergraph, an expressive structure with flexibility to model the higher-order correlations among entities, has recently attracted increasing attention from various research domains. Despite the success of Graph Neural Networks (GNNs) for…

Machine Learning · Computer Science 2021-05-04 Jing Huang , Jie Yang

Non-local self-similarity is well-known to be an effective prior for the image denoising problem. However, little work has been done to incorporate it in convolutional neural networks, which surpass non-local model-based methods despite…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Diego Valsesia , Giulia Fracastoro , Enrico Magli

Deep learning has revolutionized many machine learning tasks in recent years, ranging from image classification and video processing to speech recognition and natural language understanding. The data in these tasks are typically represented…

Machine Learning · Computer Science 2020-03-27 Zonghan Wu , Shirui Pan , Fengwen Chen , Guodong Long , Chengqi Zhang , Philip S. Yu