# Learning Compact Recurrent Neural Networks with Block-Term Tensor Decomposition

arXiv: https://arxiv.org/abs/1712.05134 · HTML: https://mlsanity.com/paper/1712.05134/

## Key facts

- Cited by 33 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Dec 2017.

## Built on by (most cited first, 30 of 33)

- [TensoRF: Tensorial Radiance Fields](https://mlsanity.com/paper/2203.09517/) (2022)
- [FacT: Factor-Tuning for Lightweight Adaptation on Vision Transformer](https://mlsanity.com/paper/2212.03145/) (2022)
- [Compressible-composable NeRF via Rank-residual Decomposition](https://mlsanity.com/paper/2205.14870/) (2022)
- [A Comprehensive Survey on Model Quantization for Deep Neural Networks in Image Classification](https://mlsanity.com/paper/2205.07877/) (2022)
- [Towards Efficient Tensor Decomposition-Based DNN Model Compression with Optimization Framework](https://mlsanity.com/paper/2107.12422/) (2021)
- [Spatial Dual-Modality Graph Reasoning for Key Information Extraction](https://mlsanity.com/paper/2103.14470/) (2021)
- [Tensor Networks Meet Neural Networks: A Survey and Future Perspectives](https://mlsanity.com/paper/2302.09019/) (2023)
- [Exploring Extreme Parameter Compression for Pre-trained Language Models](https://mlsanity.com/paper/2205.10036/) (2022)
- [Tensor Decomposition for Model Reduction in Neural Networks: A Review](https://mlsanity.com/paper/2304.13539/) (2023)
- [TedNet: A Pytorch Toolkit for Tensor Decomposition Networks](https://mlsanity.com/paper/2104.05018/) (2021)
- [Towards Extremely Compact RNNs for Video Recognition with Fully Decomposed Hierarchical Tucker Structure](https://mlsanity.com/paper/2104.05758/) (2021)
- [A Unified Weight Initialization Paradigm for Tensorial Convolutional Neural Networks](https://mlsanity.com/paper/2205.15307/) (2022)
- [More Efficient Sampling for Tensor Decomposition With Worst-Case Guarantees](https://mlsanity.com/paper/2110.07631/) (2021)
- [ViT-ReT: Vision and Recurrent Transformer Neural Networks for Human Activity Recognition in Videos](https://mlsanity.com/paper/2208.07929/) (2022)
- [Hierarchical Multimodal LLMs with Semantic Space Alignment for Enhanced Time Series Classification](https://mlsanity.com/paper/2410.18686/) (2024)
- [On the Memory Mechanism of Tensor-Power Recurrent Models](https://mlsanity.com/paper/2103.01521/) (2021)
- [CSTAR: Towards Compact and STructured Deep Neural Networks with Adversarial Robustness](https://mlsanity.com/paper/2212.01957/) (2022)
- [Efficient Source-Free Time-Series Adaptation via Parameter Subspace Disentanglement](https://mlsanity.com/paper/2410.02147/) (2024)
- [Semi-tensor Product-based TensorDecomposition for Neural Network Compression](https://mlsanity.com/paper/2109.15200/) (2021)
- [Position: Tensor Networks are a Valuable Asset for Green AI](https://mlsanity.com/paper/2205.12961/) (2022)
- [Tensor Network-Constrained Kernel Machines as Gaussian Processes](https://mlsanity.com/paper/2403.19500/) (2024)
- [A Tensor Decomposition Perspective on Second-order RNNs](https://mlsanity.com/paper/2406.05045/) (2024)
- [Ultra Memory-Efficient On-FPGA Training of Transformers via Tensor-Compressed Optimization](https://mlsanity.com/paper/2501.06663/) (2025)
- [Efficient Visual Recognition with Deep Neural Networks: A Survey on Recent Advances and New Directions](https://mlsanity.com/paper/2108.13055/) (2021)
- [Human Activity Recognition Using Cascaded Dual Attention CNN and Bi-Directional GRU Framework](https://mlsanity.com/paper/2208.05034/) (2022)
- [Design Automation for Fast, Lightweight, and Effective Deep Learning Models: A Survey](https://mlsanity.com/paper/2208.10498/) (2022)
- [Algorithm and Hardware Co-Design of Energy-Efficient LSTM Networks for Video Recognition with Hierarchical Tucker Tensor Decomposition](https://mlsanity.com/paper/2212.02046/) (2022)
- [Probabilistic Shape Completion by Estimating Canonical Factors with Hierarchical VAE](https://mlsanity.com/paper/2212.03370/) (2022)
- [Tensorized Hypergraph Neural Networks](https://mlsanity.com/paper/2306.02560/) (2023)
- [A Novel Deep Hybrid Framework with Ensemble-Based Feature Optimization for Robust Real-Time Human Activity Recognition](https://mlsanity.com/paper/2508.18695/) (2025)

## Abstract (arXiv)

Recurrent Neural Networks (RNNs) are powerful sequence modeling tools. However, when dealing with high dimensional inputs, the training of RNNs becomes computational expensive due to the large number of model parameters. This hinders RNNs from solving many important computer vision tasks, such as Action Recognition in Videos and Image Captioning. To overcome this problem, we propose a compact and flexible structure, namely Block-Term tensor decomposition, which greatly reduces the parameters of RNNs and improves their training efficiency. Compared with alternative low-rank approximations, such as tensor-train RNN (TT-RNN), our method, Block-Term RNN (BT-RNN), is not only more concise (when using the same rank), but also able to attain a better approximation to the original RNNs with much fewer parameters. On three challenging tasks, including Action Recognition in Videos, Image Captioning and Image Generation, BT-RNN outperforms TT-RNN and the standard RNN in terms of both prediction accuracy and convergence rate. Specifically, BT-LSTM utilizes 17,388 times fewer parameters than the standard LSTM to achieve an accuracy improvement over 15.6% in the Action Recognition task on the UCF11 dataset.
