Tensor Methods and Recommender Systems
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Abstract (arXiv)
A substantial progress in development of new and efficient tensor factorization techniques has led to an extensive research of their applicability in recommender systems field. Tensor-based recommender models push the boundaries of traditional collaborative filtering techniques by taking into account a multifaceted nature of real environments, which allows to produce more accurate, situational (e.g. context-aware, criteria-driven) recommendations. Despite the promising results, tensor-based methods are poorly covered in existing recommender systems surveys. This survey aims to complement previous works and provide a comprehensive overview on the subject. To the best of our knowledge, this is the first attempt to consolidate studies from various application domains in an easily readable, digestible format, which helps to get a notion of the current state of the field. We also provide a high level discussion of the future perspectives and directions for further improvement of tensor-based recommendation systems.
Key facts. Cited by 24 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 Mar 2016.
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Citing papers per year: 2021: 4; 2022: 4; 2023: 4; 2024: 4; 2025: 6; 2026: 2.
24 papers.
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- 2021Long Random Matrices and Tensor Unfoldingcited by 10
- 2024Guaranteed Nonconvex Factorization Approach for Tensor Train Recoverycited by 8
- 2021Low-Precision Hardware Architectures Meet Recommendation Model Inference at Scalecited by 7
- 2021Influence-guided Data Augmentation for Neural Tensor Completioncited by 7
- 2022Tensor-based Sequential Learning via Hankel Matrix Representation for Next Item Recommendationscited by 5
- 2023On High-dimensional and Low-rank Tensor Banditscited by 5
- 2025A Scalable Factorization Approach for High-Order Structured Tensor Recoverycited by 4
- 2024A Random Matrix Approach to Low-Multilinear-Rank Tensor Approximationcited by 3
- 2024Sharp Analysis of Power Iteration for Tensor PCAcited by 2
- 2021Tensor completion using geodesics on Segre manifoldscited by 1
- 2022Error Analysis of Tensor-Train Cross Approximationcited by 1
- 2022Data Leakage via Access Patterns of Sparse Features in Deep Learning-based Recommendation Systemscited by 1
12 more
- 2023Image Reconstruction using Superpixel Clustering and Tensor Completioncited by 1
- 2025Efficient Low-Tubal-Rank Tensor Estimation via Alternating Preconditioned Gradient Descentcited by 1
- 2022Consistent Collaborative Filtering via Tensor Decompositioncited by 0
- 2023Robust Bayesian Tensor Factorization with Zero-Inflated Poisson Model and Consensus Aggregationcited by 0
- 2023Dynamic Collaborative Filtering for Matrix- and Tensor-based Recommender Systemscited by 0
- 2024Higher-Order Transformers With Kronecker-Structured Attentioncited by 0
- 2025sparseGeoHOPCA: A Geometric Solution to Sparse Higher-Order PCA Without Covariance Estimationcited by 0
- 2025Tensor-Tensor Products, Group Representations, and Semidefinite Programmingcited by 0
- 2025Personalized Product Search Ranking: A Multi-Task Learning Approach with Tabular and Non-Tabular Datacited by 0
- 2025Guaranteed Noisy CP Tensor Recovery via Riemannian Optimization on the Segre Manifoldcited by 0
- 2026Recommending Composite Items Using Multi-Level Preference Information: A Joint Interaction Modeling Approachcited by 0
- 2026Quaternion Nonlinear Transform-Induced Nuclear Norm for Low-Rank Tensor Completioncited by 0
- 2026Quaternion Nonlinear Transform-Induced Nuclear Norm for Low-Rank Tensor Completion2 May 2026
- 2026Recommending Composite Items Using Multi-Level Preference Information: A Joint Interaction Modeling Approach26 Jan 2026
- 2025Efficient Low-Tubal-Rank Tensor Estimation via Alternating Preconditioned Gradient Descent8 Dec 2025
- 2025Guaranteed Noisy CP Tensor Recovery via Riemannian Optimization on the Segre Manifold1 Oct 2025
- 2025Personalized Product Search Ranking: A Multi-Task Learning Approach with Tabular and Non-Tabular Data13 Aug 2025
- 2025Tensor-Tensor Products, Group Representations, and Semidefinite Programming17 Jul 2025
- 2025A Scalable Factorization Approach for High-Order Structured Tensor Recovery19 Jun 2025
- 2025sparseGeoHOPCA: A Geometric Solution to Sparse Higher-Order PCA Without Covariance Estimation10 Jun 2025
- 2024Higher-Order Transformers With Kronecker-Structured Attention4 Dec 2024
- 2024A Random Matrix Approach to Low-Multilinear-Rank Tensor Approximation5 Feb 2024
- 2024Guaranteed Nonconvex Factorization Approach for Tensor Train Recovery5 Jan 2024
- 2024Sharp Analysis of Power Iteration for Tensor PCA2 Jan 2024
12 more
- 2023Dynamic Collaborative Filtering for Matrix- and Tensor-based Recommender Systems4 Dec 2023
- 2023Robust Bayesian Tensor Factorization with Zero-Inflated Poisson Model and Consensus Aggregation15 Aug 2023
- 2023Image Reconstruction using Superpixel Clustering and Tensor Completion16 May 2023
- 2023On High-dimensional and Low-rank Tensor Bandits6 May 2023
- 2022Data Leakage via Access Patterns of Sparse Features in Deep Learning-based Recommendation Systems12 Dec 2022
- 2022Tensor-based Sequential Learning via Hankel Matrix Representation for Next Item Recommendations12 Dec 2022
- 2022Error Analysis of Tensor-Train Cross Approximation9 Jul 2022
- 2022Consistent Collaborative Filtering via Tensor Decomposition28 Jan 2022
- 2021Long Random Matrices and Tensor Unfolding19 Oct 2021
- 2021Influence-guided Data Augmentation for Neural Tensor Completion23 Aug 2021
- 2021Tensor completion using geodesics on Segre manifolds2 Aug 2021
- 2021Low-Precision Hardware Architectures Meet Recommendation Model Inference at Scale26 May 2021
- 2021Long Random Matrices and Tensor Unfoldingcited by 10
- 2024Guaranteed Nonconvex Factorization Approach for Tensor Train Recoverycited by 8
- 2021Low-Precision Hardware Architectures Meet Recommendation Model Inference at Scalecited by 7
- 2021Influence-guided Data Augmentation for Neural Tensor Completioncited by 7
- 2022Tensor-based Sequential Learning via Hankel Matrix Representation for Next Item Recommendationscited by 5
- 2023On High-dimensional and Low-rank Tensor Banditscited by 5
- 2025A Scalable Factorization Approach for High-Order Structured Tensor Recoverycited by 4
- 2024A Random Matrix Approach to Low-Multilinear-Rank Tensor Approximationcited by 3
- 2024Sharp Analysis of Power Iteration for Tensor PCAcited by 2
- 2021Tensor completion using geodesics on Segre manifoldscited by 1
- 2022Error Analysis of Tensor-Train Cross Approximationcited by 1
- 2022Data Leakage via Access Patterns of Sparse Features in Deep Learning-based Recommendation Systemscited by 1
12 most cited of 24 All 24 (JSON)
- 2026Quaternion Nonlinear Transform-Induced Nuclear Norm for Low-Rank Tensor Completion2 May 2026
- 2026Recommending Composite Items Using Multi-Level Preference Information: A Joint Interaction Modeling Approach26 Jan 2026
- 2025Efficient Low-Tubal-Rank Tensor Estimation via Alternating Preconditioned Gradient Descent8 Dec 2025
- 2025Guaranteed Noisy CP Tensor Recovery via Riemannian Optimization on the Segre Manifold1 Oct 2025
- 2025Personalized Product Search Ranking: A Multi-Task Learning Approach with Tabular and Non-Tabular Data13 Aug 2025
- 2025Tensor-Tensor Products, Group Representations, and Semidefinite Programming17 Jul 2025
- 2025A Scalable Factorization Approach for High-Order Structured Tensor Recovery19 Jun 2025
- 2025sparseGeoHOPCA: A Geometric Solution to Sparse Higher-Order PCA Without Covariance Estimation10 Jun 2025
- 2024Higher-Order Transformers With Kronecker-Structured Attention4 Dec 2024
- 2024A Random Matrix Approach to Low-Multilinear-Rank Tensor Approximation5 Feb 2024
- 2024Guaranteed Nonconvex Factorization Approach for Tensor Train Recovery5 Jan 2024
- 2024Sharp Analysis of Power Iteration for Tensor PCA2 Jan 2024
12 newest of 24 All 24 (JSON)