On Manipulating Signals of User-Item Graph: A Jacobi Polynomial-based
Graph Collaborative Filtering
- URL: http://arxiv.org/abs/2306.03624v1
- Date: Tue, 6 Jun 2023 12:22:09 GMT
- Title: On Manipulating Signals of User-Item Graph: A Jacobi Polynomial-based
Graph Collaborative Filtering
- Authors: Jiayan Guo and Lun Du and Xu Chen and Xiaojun Ma and Qiang Fu and Shi
Han and Dongmei Zhang and Yan Zhang
- Abstract summary: Graph Collaborative (CF) is an important research direction in recommender systems.
In this paper, we analyze the important factors that a graph filter should consider to achieve better performance.
Based on Jacobi bases and filtering frequency decomposition strategies, we design JGCF, which brings at most 27.06% performance gain on Alibaba-iFashion.
- Score: 45.75671148689973
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Collaborative filtering (CF) is an important research direction in
recommender systems that aims to make recommendations given the information on
user-item interactions. Graph CF has attracted more and more attention in
recent years due to its effectiveness in leveraging high-order information in
the user-item bipartite graph for better recommendations. Specifically, recent
studies show the success of graph neural networks (GNN) for CF is attributed to
its low-pass filtering effects. However, current researches lack a study of how
different signal components contributes to recommendations, and how to design
strategies to properly use them well. To this end, from the view of spectral
transformation, we analyze the important factors that a graph filter should
consider to achieve better performance. Based on the discoveries, we design
JGCF, an efficient and effective method for CF based on Jacobi polynomial bases
and frequency decomposition strategies. Extensive experiments on four widely
used public datasets show the effectiveness and efficiency of the proposed
methods, which brings at most 27.06% performance gain on Alibaba-iFashion.
Besides, the experimental results also show that JGCF is better at handling
sparse datasets, which shows potential in making recommendations for cold-start
users.
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