Block-term Tensor Neural Networks
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Abstract (arXiv)
Deep neural networks (DNNs) have achieved outstanding performance in a wide range of applications, e.g., image classification, natural language processing, etc. Despite the good performance, the huge number of parameters in DNNs brings challenges to efficient training of DNNs and also their deployment in low-end devices with limited computing resources. In this paper, we explore the correlations in the weight matrices, and approximate the weight matrices with the low-rank block-term tensors. We name the new corresponding structure as block-term tensor layers (BT-layers), which can be easily adapted to neural network models, such as CNNs and RNNs. In particular, the inputs and the outputs in BT-layers are reshaped into low-dimensional high-order tensors with a similar or improved representation power. Sufficient experiments have demonstrated that BT-layers in CNNs and RNNs can achieve a very large compression ratio on the number of parameters while preserving or improving the representation power of the original DNNs.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). First posted on arXiv 10 Oct 2020.
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Citing papers per year: 2021: 3; 2022: 4; 2023: 3; 2024: 2; 2025: 1.
13 papers.
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- 2022TensoRF: Tensorial Radiance Fieldscited by 1,275
- 2021Tensor Methods in Computer Vision and Deep Learningcited by 52
- 2023Tensor Networks Meet Neural Networks: A Survey and Future Perspectivescited by 29
- 2022D-TensoRF: Tensorial Radiance Fields for Dynamic Scenescited by 19
- 2023Reusing Pretrained Models by Multi-linear Operators for Efficient Trainingcited by 15
- 2021TedNet: A Pytorch Toolkit for Tensor Decomposition Networkscited by 9
- 2022A Unified Weight Initialization Paradigm for Tensorial Convolutional Neural Networkscited by 8
- 2023Low Rank Optimization for Efficient Deep Learning: Making A Balance between Compact Architecture and Fast Trainingcited by 5
- 2021Semi-tensor Product-based TensorDecomposition for Neural Network Compressioncited by 3
- 2022Probabilistic Shape Completion by Estimating Canonical Factors with Hierarchical VAEcited by 1
- 2024conv_einsum: A Framework for Representation and Fast Evaluation of Multilinear Operations in Convolutional Tensorial Neural Networkscited by 1
- 2024Reduced storage direct tensor ring decomposition for convolutional neural networks compressioncited by 0
- 2025NdLinear: Preserving Multi-Dimensional Structure for Parameter-Efficient Neural Networks21 Mar 2025
- 2024Reduced storage direct tensor ring decomposition for convolutional neural networks compression17 May 2024
- 2024conv_einsum: A Framework for Representation and Fast Evaluation of Multilinear Operations in Convolutional Tensorial Neural Networks7 Jan 2024
- 2023Reusing Pretrained Models by Multi-linear Operators for Efficient Training16 Oct 2023
- 2023Low Rank Optimization for Efficient Deep Learning: Making A Balance between Compact Architecture and Fast Training22 Mar 2023
- 2023Tensor Networks Meet Neural Networks: A Survey and Future Perspectives22 Jan 2023
- 2022Probabilistic Shape Completion by Estimating Canonical Factors with Hierarchical VAE6 Dec 2022
- 2022D-TensoRF: Tensorial Radiance Fields for Dynamic Scenes5 Dec 2022
- 2022A Unified Weight Initialization Paradigm for Tensorial Convolutional Neural Networks28 May 2022
- 2022TensoRF: Tensorial Radiance Fields17 Mar 2022
- 2021Semi-tensor Product-based TensorDecomposition for Neural Network Compression30 Sep 2021
- 2021Tensor Methods in Computer Vision and Deep Learning7 Jul 2021
1 more
- 2021TedNet: A Pytorch Toolkit for Tensor Decomposition Networks11 Apr 2021
- 2022TensoRF: Tensorial Radiance Fieldscited by 1,275
- 2021Tensor Methods in Computer Vision and Deep Learningcited by 52
- 2023Tensor Networks Meet Neural Networks: A Survey and Future Perspectivescited by 29
- 2022D-TensoRF: Tensorial Radiance Fields for Dynamic Scenescited by 19
- 2023Reusing Pretrained Models by Multi-linear Operators for Efficient Trainingcited by 15
- 2021TedNet: A Pytorch Toolkit for Tensor Decomposition Networkscited by 9
- 2022A Unified Weight Initialization Paradigm for Tensorial Convolutional Neural Networkscited by 8
- 2023Low Rank Optimization for Efficient Deep Learning: Making A Balance between Compact Architecture and Fast Trainingcited by 5
- 2021Semi-tensor Product-based TensorDecomposition for Neural Network Compressioncited by 3
- 2022Probabilistic Shape Completion by Estimating Canonical Factors with Hierarchical VAEcited by 1
- 2024conv_einsum: A Framework for Representation and Fast Evaluation of Multilinear Operations in Convolutional Tensorial Neural Networkscited by 1
- 2024Reduced storage direct tensor ring decomposition for convolutional neural networks compressioncited by 0
12 most cited of 13 All 13 (JSON)
- 2025NdLinear: Preserving Multi-Dimensional Structure for Parameter-Efficient Neural Networks21 Mar 2025
- 2024Reduced storage direct tensor ring decomposition for convolutional neural networks compression17 May 2024
- 2024conv_einsum: A Framework for Representation and Fast Evaluation of Multilinear Operations in Convolutional Tensorial Neural Networks7 Jan 2024
- 2023Reusing Pretrained Models by Multi-linear Operators for Efficient Training16 Oct 2023
- 2023Low Rank Optimization for Efficient Deep Learning: Making A Balance between Compact Architecture and Fast Training22 Mar 2023
- 2023Tensor Networks Meet Neural Networks: A Survey and Future Perspectives22 Jan 2023
- 2022Probabilistic Shape Completion by Estimating Canonical Factors with Hierarchical VAE6 Dec 2022
- 2022D-TensoRF: Tensorial Radiance Fields for Dynamic Scenes5 Dec 2022
- 2022A Unified Weight Initialization Paradigm for Tensorial Convolutional Neural Networks28 May 2022
- 2022TensoRF: Tensorial Radiance Fields17 Mar 2022
- 2021Semi-tensor Product-based TensorDecomposition for Neural Network Compression30 Sep 2021
- 2021Tensor Methods in Computer Vision and Deep Learning7 Jul 2021
12 newest of 13 All 13 (JSON)