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Low-rank tensor compression has been proposed as a promising approach to reduce the memory and compute requirements of neural networks for their deployment on edge devices. Tensor compression reduces the number of parameters required to…

机器学习 · 计算机科学 2021-11-03 Cole Hawkins , Haichuan Yang , Meng Li , Liangzhen Lai , Vikas Chandra

DeepTensor is a computationally efficient framework for low-rank decomposition of matrices and tensors using deep generative networks. We decompose a tensor as the product of low-rank tensor factors (e.g., a matrix as the outer product of…

Tucker decomposition is one of the most popular models for analyzing and compressing large-scale tensorial data. Existing Tucker decomposition algorithms usually rely on a single solver to compute the factor matrices and core tensor, and…

分布式、并行与集群计算 · 计算机科学 2020-10-21 Min Li , Chuanfu Xiao , Chao Yang

Feature extraction for tensor data serves as an important step in many tasks such as anomaly detection, process monitoring, image classification, and quality control. Although many methods have been proposed for tensor feature extraction,…

机器学习 · 计算机科学 2021-06-01 Yinan Wang , Weihong "Grace" Guo , Xiaowei Yue

Tucker decomposition is one of the SOTA CNN model compression techniques. However, unlike the FLOPs reduction, we observe very limited inference time reduction with Tucker-compressed models using existing GPU software such as cuDNN. To this…

分布式、并行与集群计算 · 计算机科学 2023-01-06 Lizhi Xiang , Miao Yin , Chengming Zhang , Aravind Sukumaran-Rajam , P. Sadayappan , Bo Yuan , Dingwen Tao

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…

计算工程、金融与科学 · 计算机科学 2026-03-23 Zheng Guo , Aditya Deshpande , Brian Kiedrowski , Xinyu Wang , Alex Gorodetsky

Recurrent Neural Networks (RNNs) have been widely used in sequence analysis and modeling. However, when processing high-dimensional data, RNNs typically require very large model sizes, thereby bringing a series of deployment challenges.…

机器学习 · 计算机科学 2020-05-12 Miao Yin , Siyu Liao , Xiao-Yang Liu , Xiaodong Wang , Bo Yuan

The Recurrent Neural Networks and their variants have shown promising performances in sequence modeling tasks such as Natural Language Processing. These models, however, turn out to be impractical and difficult to train when exposed to very…

计算机视觉与模式识别 · 计算机科学 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

There is an emerging interest in tensor factorization applications in big-data analytics and machine learning. To speed up the factorization of extra-large datasets, organized in multidimensional arrays (aka tensors), easy to compute…

数值分析 · 数学 2022-03-23 Boian Alexandrov , Derek DeSantis , Gianmarco Manzini , Erik Skau

The proposed article aims at offering a comprehensive tutorial for the computational aspects of structured matrix and tensor factorization. Unlike existing tutorials that mainly focus on {\it algorithmic procedures} for a small set of…

信号处理 · 电气工程与系统科学 2023-07-19 Xiao Fu , Nico Vervliet , Lieven De Lathauwer , Kejun Huang , Nicolas Gillis

There is a significant expansion in both volume and range of applications along with the concomitant increase in the variety of data sources. These ever-expanding trends have highlighted the necessity for more versatile analysis tools that…

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…

量子物理 · 物理学 2022-07-08 Richik Sengupta , Soumik Adhikary , Ivan Oseledets , Jacob Biamonte

Model compression has gained significant popularity as a means to alleviate the computational and memory demands of machine learning models. Each compression technique leverages unique features to reduce the size of neural networks.…

机器学习 · 计算机科学 2024-08-20 Yingtao Shen , Minqing Sun , Jianzhe Lin , Jie Zhao , An Zou

Tensor decomposition is an effective approach to compress over-parameterized neural networks and to enable their deployment on resource-constrained hardware platforms. However, directly applying tensor compression in the training process is…

机器学习 · 计算机科学 2019-05-28 Cole Hawkins , Zheng Zhang

CNNs achieve remarkable performance by leveraging deep, over-parametrized architectures, trained on large datasets. However, they have limited generalization ability to data outside the training domain, and a lack of robustness to noise and…

High-dimensional data in the form of tensors are challenging for kernel classification methods. To both reduce the computational complexity and extract informative features, kernels based on low-rank tensor decompositions have been…

机器学习 · 统计学 2023-02-17 Kirandeep Kour , Sergey Dolgov , Peter Benner , Martin Stoll , Max Pfeffer

Convolutional Neural Networks (CNNs) is one of successful method in many areas such as image classification tasks. However, the amount of memory and computational cost needed for CNNs inference obstructs them to run efficiently in mobile…

机器学习 · 计算机科学 2018-01-17 Marcella Astrid , Seung-Ik Lee , Beom-Su Seo

Deep neural networks (DNNs) have delivered a remarkable performance in many tasks of computer vision. However, over-parameterized representations of popular architectures dramatically increase their computational complexity and storage…

计算机视觉与模式识别 · 计算机科学 2022-05-31 Chang Nie , Huan Wang , Lu Zhao

In recent years, the application of tensors has become more widespread in fields that involve data analytics and numerical computation. Due to the explosive growth of data, low-rank tensor decompositions have become a powerful tool to…

数值分析 · 数学 2020-11-03 Lingjie Li , Wenjian Yu , Kim Batselier

In this paper we propose a novel decomposition method based on filter group approximation, which can significantly reduce the redundancy of deep convolutional neural networks (CNNs) while maintaining the majority of feature representation.…

计算机视觉与模式识别 · 计算机科学 2018-08-01 Bo Peng , Wenming Tan , Zheyang Li , Shun Zhang , Di Xie , Shiliang Pu