Graph Spectral Filtering with Chebyshev Interpolation for Recommendation

• URL: http://arxiv.org/abs/2505.00552v1
• Date: Thu, 01 May 2025 14:28:44 GMT
• Title: Graph Spectral Filtering with Chebyshev Interpolation for Recommendation
• Authors: Chanwoo Kim, Jinkyu Sung, Yebonn Han, Joonseok Lee,
• Abstract summary: We introduce ChebyCF, a graph convolutional filtering framework based on graph spectral filtering.<n>ChebyCF achieves state-of-the-art performance across multiple benchmarks and reasonably fast inference.
• Score: 13.336257299673578
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Graph convolutional networks have recently gained prominence in collaborative filtering (CF) for recommendations. However, we identify potential bottlenecks in two foundational components. First, the embedding layer leads to a latent space with limited capacity, overlooking locally observed but potentially valuable preference patterns. Also, the widely-used neighborhood aggregation is limited in its ability to leverage diverse preference patterns in a fine-grained manner. Building on spectral graph theory, we reveal that these limitations stem from graph filtering with a cut-off in the frequency spectrum and a restricted linear form. To address these issues, we introduce ChebyCF, a CF framework based on graph spectral filtering. Instead of a learned embedding, it takes a user's raw interaction history to utilize the full spectrum of signals contained in it. Also, it adopts Chebyshev interpolation to effectively approximate a flexible non-linear graph filter, and further enhances it by using an additional ideal pass filter and degree-based normalization. Through extensive experiments, we verify that ChebyCF overcomes the aforementioned bottlenecks and achieves state-of-the-art performance across multiple benchmarks and reasonably fast inference. Our code is available at https://github.com/chanwoo0806/ChebyCF.

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