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Tensor train (TT) factorization and corresponding TT rank, which can well express the low-rankness and mode correlations of higher-order tensors, have attracted much attention in recent years. However, TT factorization based methods are…

Image and Video Processing · Electrical Eng. & Systems 2022-05-09 Gaohang Yu , Shaochun Wan , Liqun Qi , Yanwei Xu

Recurrent neural networks (RNNs) are powerful tools for sequential modeling, but typically require significant overparameterization and regularization to achieve optimal performance. This leads to difficulties in the deployment of large…

Machine Learning · Computer Science 2021-11-11 Charles C. Onu , Jacob E. Miller , Doina Precup

Quantization of weights of deep neural networks (DNN) has proven to be an effective solution for the purpose of implementing DNNs on edge devices such as mobiles, ASICs and FPGAs, because they have no sufficient resources to support…

Machine Learning · Computer Science 2019-12-20 Tianyu Zhang , Lei Zhu , Qian Zhao , Kilho Shin

In many applications such as data compression, imaging or genomic data analysis, it is important to approximate a given tensor by a tensor that is sparsely representable. For matrices, i.e. 2-tensors, such a representation can be obtained…

Numerical Analysis · Mathematics 2008-05-29 S. Friedland , V. Mehrmann

Modern neural networks have revolutionized the fields of computer vision (CV) and Natural Language Processing (NLP). They are widely used for solving complex CV tasks and NLP tasks such as image classification, image generation, and machine…

Machine Learning · Computer Science 2023-07-25 Xingyi Liu , Keshab K. Parhi

The accurate approximation of high-dimensional functions is an essential task in uncertainty quantification and many other fields. We propose a new function approximation scheme based on a spectral extension of the tensor-train (TT)…

Numerical Analysis · Mathematics 2016-09-20 Daniele Bigoni , Allan P. Engsig-Karup , Youssef M. Marzouk

Recurrent Neural Network (RNN) are a popular choice for modeling temporal and sequential tasks and achieve many state-of-the-art performance on various complex problems. However, most of the state-of-the-art RNNs have millions of parameters…

Machine Learning · Computer Science 2017-10-31 Andros Tjandra , Sakriani Sakti , Satoshi Nakamura

Point cloud segmentation is one of the most important tasks in computer vision with widespread scientific, industrial, and commercial applications. The research thereof has resulted in many breakthroughs in 3D object and scene…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Dening Lu , Jun Zhou , Kyle Yilin Gao , Dilong Li , Jing Du , Linlin Xu , Jonathan Li

Tensor networks provide a powerful framework for compressing multi-dimensional data. The optimal tensor network structure for a given data tensor depends on both data characteristics and specific optimality criteria, making tensor network…

Computational Engineering, Finance, and Science · Computer Science 2026-03-23 Zheng Guo , Aditya Deshpande , Brian Kiedrowski , Xinyu Wang , Alex Gorodetsky

Tensorizing a neural network involves reshaping some or all of its dense weight matrices into higher-order tensors and approximating them using low-rank tensor network decompositions. This technique has shown promise as a model compression…

Machine Learning · Computer Science 2025-05-27 Safa Hamreras , Sukhbinder Singh , Román Orús

In data stream clustering, systematic theory of stream clustering algorithms remains relatively scarce. Recently, density-based methods have gained attention. However, existing algorithms struggle to simultaneously handle arbitrarily…

Machine Learning · Computer Science 2026-05-07 Qifen Zeng , Haomin Bao , Yuanzhuo Hu , Zirui Zhang , Yuheng Zheng , Luosheng Wen

A tensor network is a type of decomposition used to express and approximate large arrays of data. A given data-set, quantum state or higher dimensional multi-linear map is factored and approximated by a composition of smaller multi-linear…

Quantum Physics · Physics 2022-07-08 Richik Sengupta , Soumik Adhikary , Ivan Oseledets , Jacob Biamonte

Tensor ring (TR) decomposition is a powerful tool for exploiting the low-rank nature of multiway data and has demonstrated great potential in a variety of important applications. In this paper, nonnegative tensor ring (NTR) decomposition…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Yuyuan Yu , Guoxu Zhou , Ning Zheng , Shengli Xie , Qibin Zhao

Nearest-neighbour retrieval is central to classification and explainable-AI pipelines, but current practice relies on hand-tuning feature layers and distance metrics. We propose Targeted Manifold Manipulation-Nearest Neighbour (TMM-NN),…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 B. Ghosh , H. Harikumar , S. Rana

Tensor ring (TR) decomposition is an efficient approach to discover the hidden low-rank patterns for higher-order tensors, and streaming tensors are becoming highly prevalent in real-world applications. In this paper, we investigate how to…

Numerical Analysis · Mathematics 2023-07-04 Yajie Yu , Hanyu Li

Tensor robust principal component analysis (TRPCA) is a fundamental model in machine learning and computer vision. Recently, tensor train (TT) decomposition has been verified effective to capture the global low-rank correlation for tensor…

Machine Learning · Computer Science 2022-03-14 Yuning Qiu , Guoxu Zhou , Zhenhao Huang , Qibin Zhao , Shengli Xie

This paper proposes low tensor-train (TT) rank and low multilinear (ML) rank approximations for de-speckling and compression of 3D optical coherence tomography (OCT) images for a given compression ratio (CR). To this end, we derive the…

Numerical Analysis · Mathematics 2020-08-31 Ivica Kopriva , Fei Shi , Mingying Lai , Marija Štanfel , Haoyu Chen , Xinjian Chen

Tensors with unit Frobenius norm are fundamental objects in many fields, including scientific computing and quantum physics, which are able to represent normalized eigenvectors and pure quantum states. While the tensor train decomposition…

Numerical Analysis · Mathematics 2025-11-07 Renfeng Peng , Chengkai Zhu , Bin Gao , Xin Wang , Ya-xiang Yuan

In point cloud analysis, point-based methods have rapidly developed in recent years. These methods have recently focused on concise MLP structures, such as PointNeXt, which have demonstrated competitiveness with Convolutional and…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Xin Deng , WenYu Zhang , Qing Ding , XinMing Zhang

Nowadays, face recognition and more generally image recognition have many applications in the modern world and are widely used in our daily tasks. This paper aims to propose a distributed approximate nearest neighbor (ANN) method for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-31 Aysan Aghazadeh , Maryam Amirmazlaghani
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