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We propose a novel method for topological analysis of unweighted graphs which is based on \textit{persistent homology}. The proposed method maps the input graph to a complete weighted graph where the weighting function maps each edge to a…

Algebraic Topology · Mathematics 2020-07-31 Padraig Corcoran

Recommender system is one of the most important information services on today's Internet. Recently, graph neural networks have become the new state-of-the-art approach to recommender systems. In this survey, we conduct a comprehensive…

Information Retrieval · Computer Science 2023-01-13 Chen Gao , Yu Zheng , Nian Li , Yinfeng Li , Yingrong Qin , Jinghua Piao , Yuhan Quan , Jianxin Chang , Depeng Jin , Xiangnan He , Yong Li

Various methods to deal with graph data have been proposed in recent years. However, most of these methods focus on graph feature aggregation rather than graph pooling. Besides, the existing top-k selection graph pooling methods have a few…

Social and Information Networks · Computer Science 2020-02-06 Liang Zhang , Xudong Wang , Hongsheng Li , Guangming Zhu , Peiyi Shen , Ping Li , Xiaoyuan Lu , Syed Afaq Ali Shah , Mohammed Bennamoun

We introduce graphcodes, a novel multi-scale summary of the topological properties of a dataset that is based on the well-established theory of persistent homology. Graphcodes handle datasets that are filtered along two real-valued scale…

Algebraic Topology · Mathematics 2024-05-24 Michael Kerber , Florian Russold

In the communication systems domain, constructing and maintaining network topologies via topology control (TC) algorithms is an important cross-cutting research area. Network topologies are usually modeled using attributed graphs whose…

Software Engineering · Computer Science 2018-05-15 Roland Kluge , Michael Stein , Gergely Varró , Andy Schürr , Matthias Hollick , Max Mühlhäuser

In recent years, deep neural networks have yielded immense success on speech recognition, computer vision and natural language processing. However, the exploration of deep neural networks on recommender systems has received relatively less…

Information Retrieval · Computer Science 2017-08-29 Xiangnan He , Lizi Liao , Hanwang Zhang , Liqiang Nie , Xia Hu , Tat-Seng Chua

As a pivotal tool to alleviate the information overload problem, recommender systems aim to predict user's preferred items from millions of candidates by analyzing observed user-item relations. As for alleviating the sparsity and cold start…

Information Retrieval · Computer Science 2022-05-24 Yue Deng

Graph neural networks (GNNs) have shown the power in representation learning over graph-structured user-item interaction data for collaborative filtering (CF) task. However, with their inherently recursive message propagation among…

Information Retrieval · Computer Science 2023-03-22 Lianghao Xia , Chao Huang , Jiao Shi , Yong Xu

Nowadays, with the remarkable expansion of the information through the internet, users prefer to receive the exact information that they need through some suggestions from their friends or profiles to save their time and money. Recommend…

Information Retrieval · Computer Science 2017-08-02 Maryam Nayebzadeh , Akbar Moazzam , Amir Mohammad Saba , Hadi Abdolrahimpour , Elham Shahab

Recently, graph collaborative filtering methods have been proposed as an effective recommendation approach, which can capture users' preference over items by modeling the user-item interaction graphs. In order to reduce the influence of…

Information Retrieval · Computer Science 2022-02-16 Zihan Lin , Changxin Tian , Yupeng Hou , Wayne Xin Zhao

Graph Neural Networks (GNNs) often struggle in preserving high-frequency components of nodal signals when dealing with directed graphs. Such components are crucial for modeling flow dynamics, without which a traditional GNN tends to treat a…

Machine Learning · Computer Science 2025-06-09 Haoyang Jiang , Jindong Wang , Xingquan Zhu , Yi He

Data processing tasks over graphs couple the data residing over the nodes with the topology through graph signal processing tools. Graph filters are one such prominent tool, having been used in applications such as denoising, interpolation,…

Signal Processing · Electrical Eng. & Systems 2023-01-18 Bishwadeep Das , Elvin Isufi

Group recommendation aims at providing optimized recommendations tailored to diverse groups, enabling groups to enjoy appropriate items. On the other hand, most existing group recommendation methods are built upon deep neural network (DNN)…

Information Retrieval · Computer Science 2025-02-14 Chae-Hyun Kim , Yoon-Ryung Choi , Jin-Duk Park , Won-Yong Shin

Graph Neural Networks (GNNs) have demonstrated superior performance on various graph learning tasks, including recommendation, where they leverage user-item collaborative filtering signals in graphs. However, theoretical formulations of…

Information Retrieval · Computer Science 2023-09-19 Xuheng Cai , Lianghao Xia , Xubin Ren , Chao Huang

Graph neural networks (GNNs) have shown impressive performance in recommender systems, particularly in collaborative filtering (CF). The key lies in aggregating neighborhood information on a user-item interaction graph to enhance user/item…

Information Retrieval · Computer Science 2024-02-22 An Zhang , Wenchang Ma , Pengbo Wei , Leheng Sheng , Xiang Wang

Topological deep learning is a rapidly growing field that pertains to the development of deep learning models for data supported on topological domains such as simplicial complexes, cell complexes, and hypergraphs, which generalize many…

Introducing consumed items as users' implicit feedback in matrix factorization (MF) method, SVD++ is one of the most effective collaborative filtering methods for personalized recommender systems. Though powerful, SVD++ has two limitations:…

Information Retrieval · Computer Science 2018-03-12 Minzhe Niu , Weinan Zhang , Yanru Qu , Xuezhi Cao , Ruiming Tang , Xiuqiang He , Yong Yu

Graph representation learning has drawn increasing attention in recent years, especially for learning the low dimensional embedding at both node and graph level for classification and recommendations tasks. To enable learning the…

Machine Learning · Computer Science 2022-01-20 Tiehua Zhang , Yuze Liu , Xin Chen , Xiaowei Huang , Feng Zhu , Xi Zheng

By treating users' interactions as a user-item graph, graph learning models have been widely deployed in Collaborative Filtering(CF) based recommendation. Recently, researchers have introduced Graph Contrastive Learning(GCL) techniques into…

Information Retrieval · Computer Science 2023-07-12 Yonghui Yang , Zhengwei Wu , Le Wu , Kun Zhang , Richang Hong , Zhiqiang Zhang , Jun Zhou , Meng Wang

Recently, Graph Convolutional Network (GCN) has become a novel state-of-art for Collaborative Filtering (CF) based Recommender Systems (RS). It is a common practice to learn informative user and item representations by performing embedding…

Information Retrieval · Computer Science 2024-05-08 Yinan Zhang , Pei Wang , Congcong Liu , Xiwei Zhao , Hao Qi , Jie He , Junsheng Jin , Changping Peng , Zhangang Lin , Jingping Shao