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The generation of voluminous scientific data poses significant challenges for efficient storage, transfer, and analysis. Recently, error-bounded lossy compression methods emerged due to their ability to achieve high compression ratios while…

Machine Learning · Computer Science 2025-05-13 Guozhong Li , Muhannad Alhumaidi , Spiros Skiadopoulos , Ibrahim Hoteit , Panos Kalnis

Tensor decomposition is one of the fundamental technique for model compression of deep convolution neural networks owing to its ability to reveal the latent relations among complex structures. However, most existing methods compress the…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Bo-Shiuan Chu , Che-Rung Lee

Various tensor decomposition methods have been proposed for data compression. In real world applications of the tensor decomposition, selecting the tensor shape for the given data poses a challenge and the shape of the tensor may affect the…

Image and Video Processing · Electrical Eng. & Systems 2022-05-24 Ryan Solgi , Zichang He , William Jiahua Liang , Zheng Zhang

Low rank tensor decompositions are a powerful tool for learning generative models, and uniqueness results give them a significant advantage over matrix decomposition methods. However, tensors pose significant algorithmic challenges and…

Data Structures and Algorithms · Computer Science 2014-01-21 Aditya Bhaskara , Moses Charikar , Ankur Moitra , Aravindan Vijayaraghavan

Handling communication overhead in large-scale tensor-parallel training remains a critical challenge due to the dense, near-zero distributions of intermediate tensors, which exacerbate errors under frequent communication and introduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-28 Man Liu , Xingchen Liu , Xingjian Tian , Bing Lu , Shengkay Lyu , Shengquan Yin , Wenjing Huang , Zheng Wei , Hairui Zhao , Guangming Tan , Dingwen Tao

Tensor Networks (TN) offer a powerful framework to efficiently represent very high-dimensional objects. TN have recently shown their potential for machine learning applications and offer a unifying view of common tensor decomposition models…

Machine Learning · Computer Science 2021-06-24 Meraj Hashemizadeh , Michelle Liu , Jacob Miller , Guillaume Rabusseau

In this paper, we define a semi-tensor product for third-order tensors. Based on this definition, we present a new type of tensor decomposition strategy and give the specific algorithm. This decomposition strategy actually generalizes the…

Numerical Analysis · Mathematics 2023-01-18 Zhuo-Ran Chen , Seak-Weng Vong , Ze-Jia Xie

The problem of incomplete data is common in signal processing and machine learning. Tensor completion algorithms aim to recover the incomplete data from its partially observed entries. In this paper, taking advantages of high…

Numerical Analysis · Computer Science 2018-12-03 Longhao Yuan , Jianting Cao , Qiang Wu , Qibin Zhao

Today's HPC applications are producing extremely large amounts of data, such that data storage and analysis are becoming more challenging for scientific research. In this work, we design a new error-controlled lossy compression algorithm…

Information Theory · Computer Science 2017-06-14 Dingwen Tao , Sheng Di , Zizhong Chen , Franck Cappello

Advanced tensor decomposition, such as Tensor train (TT) and Tensor ring (TR), has been widely studied for deep neural network (DNN) model compression, especially for recurrent neural networks (RNNs). However, compressing convolutional…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Miao Yin , Yang Sui , Siyu Liao , Bo Yuan

This paper presents a new algorithm for the lossy compression of scalar data defined on 2D or 3D regular grids, with topological control. Certain techniques allow users to control the pointwise error induced by the compression. However, in…

Image and Video Processing · Electrical Eng. & Systems 2018-02-09 Maxime Soler , Melanie Plainchault , Bruno Conche , Julien Tierny

The state-of-the-art deep neural networks (DNNs) have been widely applied for various real-world applications, and achieved significant performance for cognitive problems. However, the increment of DNNs' width and depth in architecture…

Machine Learning · Computer Science 2021-11-15 Xiao Peng Li , Qi Liu , Hing Cheung So

Image compression and reconstruction are crucial for various digital applications. While contemporary neural compression methods achieve impressive compression rates, the adoption of such technology has been largely hindered by the…

Machine Learning · Computer Science 2025-10-06 Ethan G. Rogers , Cheng Wang

Tensor train (TT) decomposition is a powerful representation for high-order tensors, which has been successfully applied to various machine learning tasks in recent years. However, since the tensor product is not commutative, permutation of…

Numerical Analysis · Computer Science 2017-05-31 Qibin Zhao , Masashi Sugiyama , Andrzej Cichocki

Convolutional Neural Networks (CNNs) has shown a great success in many areas including complex image classification tasks. However, they need a lot of memory and computational cost, which hinders them from running in relatively low-end…

Machine Learning · Computer Science 2017-01-26 Marcella Astrid , Seung-Ik Lee

Can we use machine learning to compress graph data? The absence of ordering in graphs poses a significant challenge to conventional compression algorithms, limiting their attainable gains as well as their ability to discover relevant…

Machine Learning · Computer Science 2023-09-26 Giorgos Bouritsas , Andreas Loukas , Nikolaos Karalias , Michael M. Bronstein

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…

Computer Vision and Pattern Recognition · Computer Science 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

Convolutional neural networks (CNNs) are among the most widely used machine learning models for computer vision tasks, such as image classification. To improve the efficiency of CNNs, many CNNs compressing approaches have been developed.…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Mateusz Gabor , Rafał Zdunek

Tensors decompositions are a class of tools for analysing datasets of high dimensionality and variety in a natural manner, with the Canonical Polyadic Decomposition (CPD) being a main pillar. While the notion of CPD is closely intertwined…

Signal Processing · Electrical Eng. & Systems 2019-11-15 Giuseppe G. Calvi , Bruno Scalzo Dees , Danilo P. Mandic

Lossy gradient compression has become a practical tool to overcome the communication bottleneck in centrally coordinated distributed training of machine learning models. However, algorithms for decentralized training with compressed…

Machine Learning · Computer Science 2020-10-20 Thijs Vogels , Sai Praneeth Karimireddy , Martin Jaggi