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We outline a novel clustering scheme for simplicial complexes that produces clusters of simplices in a way that is sensitive to the homology of the complex. The method is inspired by, and can be seen as a higher-dimensional version of,…

Machine Learning · Computer Science 2020-06-23 Stefania Ebli , Gard Spreemann

Graph Signal Processing deals with the problem of analyzing and processing signals defined on graphs. In this paper, we introduce a novel filtering method for graph-based signals by employing ideas from topological data analysis. We begin…

Signal Processing · Electrical Eng. & Systems 2024-08-27 Matias de Jong van Lier , Sebastián Elías Graiff Zurita , Shizuo Kaji

A popular method to reduce the training time of deep neural networks is to normalize activations at each layer. Although various normalization schemes have been proposed, they all follow a common theme: normalize across spatial dimensions…

Computer Vision and Pattern Recognition · Computer Science 2019-12-20 Boyi Li , Felix Wu , Kilian Q. Weinberger , Serge Belongie

Recent results suggest that reinitializing a subset of the parameters of a neural network during training can improve generalization, particularly for small training sets. We study the impact of different reinitialization methods in several…

Machine Learning · Computer Science 2021-09-02 Ibrahim Alabdulmohsin , Hartmut Maennel , Daniel Keysers

Encouraged by the success of Convolutional Neural Networks (CNNs) in image classification, recently much effort is spent on applying CNNs to video based action recognition problems. One challenge is that video contains a varying number of…

Computer Vision and Pattern Recognition · Computer Science 2015-04-17 Peng Wang , Yuanzhouhan Cao , Chunhua Shen , Lingqiao Liu , Heng Tao Shen

We introduce a saliency-based distortion layer for convolutional neural networks that helps to improve the spatial sampling of input data for a given task. Our differentiable layer can be added as a preprocessing block to existing task…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Adrià Recasens , Petr Kellnhofer , Simon Stent , Wojciech Matusik , Antonio Torralba

Network sampling is integral to the analysis of social, information, and biological networks. Since many real-world networks are massive in size, continuously evolving, and/or distributed in nature, the network structure is often sampled in…

Social and Information Networks · Computer Science 2012-11-16 Nesreen K. Ahmed , Jennifer Neville , Ramana Kompella

While graph neural networks (GNNs) have been successful for node classification tasks and link prediction tasks in graph, learning graph-level representations still remains a challenge. For the graph-level representation, it is important to…

Machine Learning · Computer Science 2023-03-02 Sangseon Lee , Dohoon Lee , Yinhua Piao , Sun Kim

Convolutional networks are ubiquitous in deep learning. They are particularly useful for images, as they reduce the number of parameters, reduce training time, and increase accuracy. However, as a model of the brain they are seriously…

Machine Learning · Computer Science 2022-01-19 Roman Pogodin , Yash Mehta , Timothy P. Lillicrap , Peter E. Latham

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

Graph neural networks achieve high accuracy in link prediction by jointly leveraging graph topology and node attributes. Topology, however, is represented indirectly; state-of-the-art methods based on subgraph classification label nodes…

Machine Learning · Computer Science 2022-03-17 Liming Pan , Cheng Shi , Ivan Dokmanić

This paper presents a new approach for assembling graph neural networks based on framelet transforms. The latter provides a multi-scale representation for graph-structured data. We decompose an input graph into low-pass and high-pass…

Machine Learning · Computer Science 2021-06-22 Xuebin Zheng , Bingxin Zhou , Junbin Gao , Yu Guang Wang , Pietro Lio , Ming Li , Guido Montufar

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

With higher-order neighborhood information of graph network, the accuracy of graph representation learning classification can be significantly improved. However, the current higher order graph convolutional network has a large number of…

Machine Learning · Computer Science 2019-08-05 FangYuan Lei , Xun Liu , QingYun Dai , Bingo Wing-Kuen Ling , Huimin Zhao , Yan Liu

Many real-world problems can be represented as graph-based learning problems. In this paper, we propose a novel framework for learning spatial and attentional convolution neural networks on arbitrary graphs. Different from previous…

Machine Learning · Computer Science 2019-02-26 Hao Peng , Jianxin Li , Qiran Gong , Senzhang Wang , Yuanxing Ning , Philip S. Yu

Convolution operations dominate the overall execution time of Convolutional Neural Networks (CNNs). This paper proposes an easy yet efficient technique for both Convolutional Neural Network training and testing. The conventional convolution…

Computer Vision and Pattern Recognition · Computer Science 2018-06-06 Jianzhong Sheng , Chuanbo Chen , Chenchen Fu , Chun Jason Xue

In this paper, we present a novel deep learning-based approach for still image super-resolution, that unlike the mainstream models does not rely solely on the input low resolution image for high quality upsampling, and takes advantage of a…

Computer Vision and Pattern Recognition · Computer Science 2018-12-17 Farzad Toutounchi , Ebroul Izquierdo

Graph pooling methods have been widely used on downsampling graphs, achieving impressive results on multiple graph-level tasks like graph classification and graph generation. An important line called node dropping pooling aims at exploiting…

Artificial Intelligence · Computer Science 2023-11-01 Gaichao Li , Jinsong Chen , John E. Hopcroft , Kun He

As an emerging field in Machine Learning, Explainable AI (XAI) has been offering remarkable performance in interpreting the decisions made by Convolutional Neural Networks (CNNs). To achieve visual explanations for CNNs, methods based on…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Sam Sattarzadeh , Mahesh Sudhakar , Anthony Lem , Shervin Mehryar , K. N. Plataniotis , Jongseong Jang , Hyunwoo Kim , Yeonjeong Jeong , Sangmin Lee , Kyunghoon Bae

Graph neural networks (GNN) have been proven to be mature enough for handling graph-structured data on node-level graph representation learning tasks. However, the graph pooling technique for learning expressive graph-level representation…

Machine Learning · Computer Science 2021-04-14 Ning Liu , Songlei Jian , Dongsheng Li , Yiming Zhang , Zhiquan Lai , Hongzuo Xu