mlsanityData to 7 Oct 2026

TensorLy: Tensor Learning in Python

arXiv 1610.09555 ↗First posted 29 Oct 2016cs.LGcited by 104

Not on the map. Why?

Abstract (arXiv)

Tensors are higher-order extensions of matrices. While matrix methods form the cornerstone of machine learning and data analysis, tensor methods have been gaining increasing traction. However, software support for tensor operations is not on the same footing. In order to bridge this gap, we have developed TensorLy, a high-level API for tensor methods and deep tensorized neural networks in Python. TensorLy aims to follow the same standards adopted by the main projects of the Python scientific community, and seamlessly integrates with them. Its BSD license makes it suitable for both academic and commercial applications. TensorLy's backend system allows users to perform computations with NumPy, MXNet, PyTorch, TensorFlow and CuPy. They can be scaled on multiple CPU or GPU machines. In addition, using the deep-learning frameworks as backend allows users to easily design and train deep tensorized neural networks. TensorLy is available at https://github.com/tensorly/tensorly

Key facts. Cited by 104 papers in the map (data through 7 Oct 2026). First posted on arXiv 29 Oct 2016.

Builds on

No reference list yet.

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2019: 1; 2020: 0; 2021: 19; 2022: 14; 2023: 16; 2024: 16; 2025: 27; 2026: 11.

104 papers.

Sort:

By area:

  1. 2023Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEscited by 66
  2. 2021Tensor Methods in Computer Vision and Deep Learningcited by 52
  3. 2024A Library for Learning Neural Operatorscited by 31
  4. 2022Data-driven emergence of convolutional structure in neural networkscited by 29
  5. 2023Tensor Networks Meet Neural Networks: A Survey and Future Perspectivescited by 29
  6. 2022PandA: Unsupervised Learning of Parts and Appearances in the Feature Maps of GANscited by 20
  7. 2022Tensor and Matrix Low-Rank Value-Function Approximation in Reinforcement Learningcited by 16
  8. 2021Tensor Component Analysis for Interpreting the Latent Space of GANscited by 13
  9. 2025GaLore 2: Large-Scale LLM Pre-Training by Gradient Low-Rank Projectioncited by 13
  10. 2022Concept-Based Techniques for "Musicologist-friendly" Explanations in a Deep Music Classifiercited by 12
  11. 2023Quantum-Inspired Machine Learning: a Surveycited by 11
  12. 2025TensorLLM: Tensorising Multi-Head Attention for Enhanced Reasoning and Compression in LLMscited by 11
38 more
  1. 2021TedNet: A Pytorch Toolkit for Tensor Decomposition Networkscited by 9
  2. 2023Guaranteed Approximation Bounds for Mixed-Precision Neural Operatorscited by 9
  3. 2021Uncovering audio patterns in music with Nonnegative Tucker Decomposition for structural segmentationcited by 8
  4. 2022Beyond Smoothness: Incorporating Low-Rank Analysis into Nonparametric Density Estimationcited by 8
  5. 2022HEAT: Hardware-Efficient Automatic Tensor Decomposition for Transformer Compressioncited by 8
  6. 2022tntorch: Tensor Network Learning with PyTorchcited by 7
  7. 2022TT-NF: Tensor Train Neural Fieldscited by 7
  8. 2023Laplacian Change Point Detection for Single and Multi-view Dynamic Graphscited by 7
  9. 2021Automatic differentiation for Riemannian optimization on low-rank matrix and tensor-train manifoldscited by 6
  10. 2022Subquadratic Kronecker Regression with Applications to Tensor Decompositioncited by 6
  11. 2021Identifying Misinformation from Website Screenshotscited by 5
  12. 2021Implicit Regularization in Deep Tensor Factorizationcited by 5
  13. 2021Fast Low-Rank Tensor Decomposition by Ridge Leverage Score Samplingcited by 5
  14. 2022Cost-efficient Gaussian Tensor Network Embeddings for Tensor-structured Inputscited by 5
  15. 2023SiBBlInGS: Similarity-driven Building-Block Inference using Graphs across Statescited by 5
  16. 2023A Joint Matrix Factorization Analysis of Multilingual Representationscited by 5
  17. 2024TRAWL: Tensor Reduced and Approximated Weights for Large Language Modelscited by 5
  18. 2025TensorGRaD: Tensor Gradient Robust Decomposition for Memory-Efficient Neural Operator Trainingcited by 5
  19. 2022Canonical convolutional neural networkscited by 3
  20. 2022Many-body Approximation for Non-negative Tensorscited by 3
  21. 2023Learning from higher-order statistics, efficiently: hypothesis tests, random features, and neural networkscited by 3
  22. 2024Synthetic Potential Outcomes and Causal Mixture Identifiabilitycited by 3
  23. 2024MIGS: Multi-Identity Gaussian Splatting via Tensor Decompositioncited by 3
  24. 2024Automating Data Science Pipelines with Tensor Completioncited by 3
  25. 2021Fast Tucker Rank Reduction for Non-Negative Tensors Using Mean-Field Approximationcited by 2
  26. 2021A unified framework for non-negative matrix and tensor factorisations with a smoothed Wasserstein losscited by 2
  27. 2021PyKale: Knowledge-Aware Machine Learning from Multiple Sources in Pythoncited by 2
  28. 2021An Analysis of COVID-19 Knowledge Graph Construction and Applicationscited by 2
  29. 2021Low-Rank+Sparse Tensor Compression for Neural Networkscited by 2
  30. 2022Sampling-Based Decomposition Algorithms for Arbitrary Tensor Networkscited by 2
  31. 2023How Informative is the Approximation Error from Tensor Decomposition for Neural Network Compression?cited by 2
  32. 2023A Time-aware tensor decomposition for tracking evolving patternscited by 2
  33. 2024Efficient Algorithms for Regularized Nonnegative Scale-invariant Low-rank Approximation Modelscited by 2
  34. 2025Towards Quantum Tensor Decomposition in Biomedical Applicationscited by 2
  35. 2025Multiscale Tensor Summation Factorization as a New Neural Network Layer (MTS Layer) for Multidimensional Data Processingcited by 2
  36. 2025Decom-Renorm-Merge: Model Merging on the Right Space Improves Multitaskingcited by 2
  37. 2026Near-Universal Multiplicative Updates for Nonnegative Einsum Factorizationcited by 2
  38. 2019Tensor-variate Mixture of Experts for Proportional Myographic Control of a Robotic Handcited by 1

50 most cited of 104 All 104 (JSON)