Spectral Collaborative Filtering
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Abstract (arXiv)
Despite the popularity of Collaborative Filtering (CF), CF-based methods are haunted by the textitcold-start problem, which has a significantly negative impact on users' experiences with Recommender Systems (RS). In this paper, to overcome the aforementioned drawback, we first formulate the relationships between users and items as a bipartite graph. Then, we propose a new spectral convolution operation directly performing in the textitspectral domain, where not only the proximity information of a graph but also the connectivity information hidden in the graph are revealed. With the proposed spectral convolution operation, we build a deep recommendation model called Spectral Collaborative Filtering (SpectralCF). Benefiting from the rich information of connectivity existing in the textitspectral domain, SpectralCF is capable of discovering deep connections between users and items and therefore, alleviates the textitcold-start problem for CF. To the best of our knowledge, SpectralCF is the first CF-based method directly learning from the textitspectral domains of user-item bipartite graphs. We apply our method on several standard datasets. It is shown that SpectralCF significantly outperforms state-of-the-art models. Code and data are available at urlhttps://github.com/lzheng21/SpectralCF.
Key facts. Cited by 34 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 Aug 2018.
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Citing papers per year: 2021: 8; 2022: 8; 2023: 6; 2024: 6; 2025: 3; 2026: 3.
34 papers.
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- 2023Graph-ToolFormer: To Empower LLMs with Graph Reasoning Ability via Prompt Augmented by ChatGPTcited by 78
- 2021A Survey on Accuracy-oriented Neural Recommendation: From Collaborative Filtering to Information-rich Recommendationcited by 59
- 2021How Powerful is Graph Convolution for Recommendation?cited by 50
- 2022Contrastive Meta Learning with Behavior Multiplicity for Recommendationcited by 37
- 2021Dynamic Graph Collaborative Filteringcited by 33
- 2022DaisyRec 2.0: Benchmarking Recommendation for Rigorous Evaluationcited by 19
- 2023Embedding in Recommender Systems: A Surveycited by 19
- 2022RGRecSys: A Toolkit for Robustness Evaluation of Recommender Systemscited by 10
- 2021SiReN: Sign-Aware Recommendation Using Graph Neural Networkscited by 9
- 2021Position-enhanced and Time-aware Graph Convolutional Network for Sequential Recommendationscited by 7
- 2024Turbo-CF: Matrix Decomposition-Free Graph Filtering for Fast Recommendationcited by 7
- 2025Graph Spectral Filtering with Chebyshev Interpolation for Recommendationcited by 7
22 more
- 2021Siamese Attribute-missing Graph Auto-encodercited by 6
- 2023Criteria Tell You More than Ratings: Criteria Preference-Aware Light Graph Convolution for Effective Multi-Criteria Recommendationcited by 5
- 2021Initialization Matters: Regularizing Manifold-informed Initialization for Neural Recommendation Systemscited by 4
- 2022GEDI: A Graph-based End-to-end Data Imputation Frameworkcited by 4
- 2022On the Generalizability and Predictability of Recommender Systemscited by 3
- 2023Challenging the Myth of Graph Collaborative Filtering: a Reasoned and Reproducibility-driven Analysiscited by 3
- 2023Time-aware Hyperbolic Graph Attention Network for Session-based Recommendationcited by 2
- 2024FedHCDR: Federated Cross-Domain Recommendation with Hypergraph Signal Decouplingcited by 2
- 2025Criteria-Aware Graph Filtering: Extremely Fast Yet Accurate Multi-Criteria Recommendationcited by 2
- 2024Hgformer: Hyperbolic Graph Transformer for Recommendationcited by 2
- 2022A Scalable Recommendation Engine for New Users and Itemscited by 1
- 2026Memory Is No Longer a Bottleneck: Memory-Efficient Graph Filtering for Scalable Collaborative Filteringcited by 1
- 2021An Algorithm for Recommending Groceries Based on an Item Ranking Methodcited by 0
- 2022KQGC: Knowledge Graph Embedding with Smoothing Effects of Graph Convolutions for Recommendationcited by 0
- 2022SUPER-Rec: SUrrounding Position-Enhanced Representation for Recommendationcited by 0
- 2023Adaptive spectral graph wavelets for collaborative filteringcited by 0
- 2024A Recommender System for NFT Collectibles with Item Featurecited by 0
- 2024Measuring the Predictability of Recommender Systems using Structural Complexity Metricscited by 0
- 2024A Survey of Latent Factor Models in Recommender Systemscited by 0
- 2025End-to-End Personalization: Unifying Recommender Systems with Large Language Modelscited by 0
- 2026The Diversity Paradox revisited: Systemic Effects of Feedback Loops in Recommender Systemscited by 0
- 2026RankGraph-2: Lifecycle Co-Design for Billion-Node Graph Learning in Recommendationcited by 0
- 2026Memory Is No Longer a Bottleneck: Memory-Efficient Graph Filtering for Scalable Collaborative Filtering19 Jun 2026
- 2026RankGraph-2: Lifecycle Co-Design for Billion-Node Graph Learning in Recommendation16 Jun 2026
- 2026The Diversity Paradox revisited: Systemic Effects of Feedback Loops in Recommender Systems18 Feb 2026
- 2025End-to-End Personalization: Unifying Recommender Systems with Large Language Models2 Aug 2025
- 2025Graph Spectral Filtering with Chebyshev Interpolation for Recommendation1 May 2025
- 2025Criteria-Aware Graph Filtering: Extremely Fast Yet Accurate Multi-Criteria Recommendation13 Feb 2025
- 2024Hgformer: Hyperbolic Graph Transformer for Recommendation30 Dec 2024
- 2024A Survey of Latent Factor Models in Recommender Systems28 May 2024
- 2024Turbo-CF: Matrix Decomposition-Free Graph Filtering for Fast Recommendation22 Apr 2024
- 2024Measuring the Predictability of Recommender Systems using Structural Complexity Metrics12 Apr 2024
- 2024A Recommender System for NFT Collectibles with Item Feature27 Mar 2024
- 2024FedHCDR: Federated Cross-Domain Recommendation with Hypergraph Signal Decoupling5 Mar 2024
22 more
- 2023Adaptive spectral graph wavelets for collaborative filtering5 Dec 2023
- 2023Embedding in Recommender Systems: A Survey28 Oct 2023
- 2023Challenging the Myth of Graph Collaborative Filtering: a Reasoned and Reproducibility-driven Analysis1 Aug 2023
- 2023Criteria Tell You More than Ratings: Criteria Preference-Aware Light Graph Convolution for Effective Multi-Criteria Recommendation30 May 2023
- 2023Graph-ToolFormer: To Empower LLMs with Graph Reasoning Ability via Prompt Augmented by ChatGPT10 Apr 2023
- 2023Time-aware Hyperbolic Graph Attention Network for Session-based Recommendation10 Jan 2023
- 2022SUPER-Rec: SUrrounding Position-Enhanced Representation for Recommendation9 Sep 2022
- 2022A Scalable Recommendation Engine for New Users and Items6 Sep 2022
- 2022GEDI: A Graph-based End-to-end Data Imputation Framework13 Aug 2022
- 2022On the Generalizability and Predictability of Recommender Systems23 Jun 2022
- 2022DaisyRec 2.0: Benchmarking Recommendation for Rigorous Evaluation22 Jun 2022
- 2022KQGC: Knowledge Graph Embedding with Smoothing Effects of Graph Convolutions for Recommendation23 May 2022
- 2022Contrastive Meta Learning with Behavior Multiplicity for Recommendation17 Feb 2022
- 2022RGRecSys: A Toolkit for Robustness Evaluation of Recommender Systems12 Jan 2022
- 2021Siamese Attribute-missing Graph Auto-encoder9 Dec 2021
- 2021SiReN: Sign-Aware Recommendation Using Graph Neural Networks19 Aug 2021
- 2021How Powerful is Graph Convolution for Recommendation?17 Aug 2021
- 2021Position-enhanced and Time-aware Graph Convolutional Network for Sequential Recommendations12 Jul 2021
- 2021Initialization Matters: Regularizing Manifold-informed Initialization for Neural Recommendation Systems9 Jun 2021
- 2021An Algorithm for Recommending Groceries Based on an Item Ranking Method3 May 2021
- 2021A Survey on Accuracy-oriented Neural Recommendation: From Collaborative Filtering to Information-rich Recommendation27 Apr 2021
- 2021Dynamic Graph Collaborative Filtering8 Jan 2021
- 2021A Survey on Accuracy-oriented Neural Recommendation: From Collaborative Filtering to Information-rich Recommendationcited by 59
- 2021How Powerful is Graph Convolution for Recommendation?cited by 50
- 2022Contrastive Meta Learning with Behavior Multiplicity for Recommendationcited by 37
- 2021Dynamic Graph Collaborative Filteringcited by 33
- 2022DaisyRec 2.0: Benchmarking Recommendation for Rigorous Evaluationcited by 19
- 2023Embedding in Recommender Systems: A Surveycited by 19
- 2022RGRecSys: A Toolkit for Robustness Evaluation of Recommender Systemscited by 10
- 2021SiReN: Sign-Aware Recommendation Using Graph Neural Networkscited by 9
- 2021Position-enhanced and Time-aware Graph Convolutional Network for Sequential Recommendationscited by 7
- 2024Turbo-CF: Matrix Decomposition-Free Graph Filtering for Fast Recommendationcited by 7
- 2025Graph Spectral Filtering with Chebyshev Interpolation for Recommendationcited by 7
- 2021Siamese Attribute-missing Graph Auto-encodercited by 6
12 most cited of 33 All 33 (JSON)
- 2026Memory Is No Longer a Bottleneck: Memory-Efficient Graph Filtering for Scalable Collaborative Filtering19 Jun 2026
- 2026RankGraph-2: Lifecycle Co-Design for Billion-Node Graph Learning in Recommendation16 Jun 2026
- 2026The Diversity Paradox revisited: Systemic Effects of Feedback Loops in Recommender Systems18 Feb 2026
- 2025End-to-End Personalization: Unifying Recommender Systems with Large Language Models2 Aug 2025
- 2025Graph Spectral Filtering with Chebyshev Interpolation for Recommendation1 May 2025
- 2025Criteria-Aware Graph Filtering: Extremely Fast Yet Accurate Multi-Criteria Recommendation13 Feb 2025
- 2024Hgformer: Hyperbolic Graph Transformer for Recommendation30 Dec 2024
- 2024A Survey of Latent Factor Models in Recommender Systems28 May 2024
- 2024Turbo-CF: Matrix Decomposition-Free Graph Filtering for Fast Recommendation22 Apr 2024
- 2024Measuring the Predictability of Recommender Systems using Structural Complexity Metrics12 Apr 2024
- 2024A Recommender System for NFT Collectibles with Item Feature27 Mar 2024
- 2024FedHCDR: Federated Cross-Domain Recommendation with Hypergraph Signal Decoupling5 Mar 2024
12 newest of 33 All 33 (JSON)