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Modern decision-making scenarios often involve data that is both high-dimensional and rich in higher-order contextual information, where existing bandits algorithms fail to generate effective policies. In response, we propose in this paper…

Machine Learning · Computer Science 2025-01-24 Jiannan Li , Yiyang Yang , Yao Wang , Shaojie Tang

Low-rank matrix approximations, such as the truncated singular value decomposition and the rank-revealing QR decomposition, play a central role in data analysis and scientific computing. This work surveys and extends recent research which…

Numerical Analysis · Mathematics 2014-04-29 Nathan Halko , Per-Gunnar Martinsson , Joel A. Tropp

We propose tensorial neural networks (TNNs), a generalization of existing neural networks by extending tensor operations on low order operands to those on high order ones. The problem of parameter learning is challenging, as it corresponds…

Machine Learning · Statistics 2018-12-11 Jiahao Su , Jingling Li , Bobby Bhattacharjee , Furong Huang

Deep Neural Networks (DNNs) are applied in a wide range of usecases. There is an increased demand for deploying DNNs on devices that do not have abundant resources such as memory and computation units. Recently, network compression through…

Machine Learning · Computer Science 2020-05-19 Haichuan Yang , Shupeng Gui , Yuhao Zhu , Ji Liu

Tensor train (TT) decomposition, a powerful tool for analyzing multidimensional data, exhibits superior performance in many machine learning tasks. However, existing methods for TT decomposition either suffer from noise overfitting, or…

Signal Processing · Electrical Eng. & Systems 2023-06-27 Le Xu , Lei Cheng , Ngai Wong , Yik-Chung Wu

Deep Neural Networks have achieved remarkable success relying on the developing availability of GPUs and large-scale datasets with increasing network depth and width. However, due to the expensive computation and intensive memory,…

Machine Learning · Computer Science 2020-09-07 E Zhenqian , Gao Weiguo

Deep neural networks have been applied in many applications exhibiting extraordinary abilities in the field of computer vision. However, complex network architectures challenge efficient real-time deployment and require significant…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Tailin Liang , John Glossner , Lei Wang , Shaobo Shi , Xiaotong Zhang

Motivated by recent work on deep neural network (DNN)-based image compression methods showing potential improvements in image quality, savings in storage, and bandwidth reduction, we propose to perform image understanding tasks such as…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Robert Torfason , Fabian Mentzer , Eirikur Agustsson , Michael Tschannen , Radu Timofte , Luc Van Gool

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…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Xiao Fu , Nico Vervliet , Lieven De Lathauwer , Kejun Huang , Nicolas Gillis

Recent advances in convolutional neural networks(CNNs) usually come with the expense of excessive computational overhead and memory footprint. Network compression aims to alleviate this issue by training compact models with comparable…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Xin-Yu Zhang , Kai Zhao , Taihong Xiao , Ming-Ming Cheng , Ming-Hsuan Yang

Elasticities in depth, width, kernel size and resolution have been explored in compressing deep neural networks (DNNs). Recognizing that the kernels in a convolutional neural network (CNN) are 4-way tensors, we further exploit a new…

Machine Learning · Computer Science 2021-05-11 Jie Ran , Rui Lin , Hayden K. H. So , Graziano Chesi , Ngai Wong

Tensor decompositions such as the canonical format and the tensor train format have been widely utilized to reduce storage costs and operational complexities for high-dimensional data, achieving linear scaling with the input dimension…

Numerical Analysis · Mathematics 2020-02-11 Oscar Mickelin , Sertac Karaman

Tensor decomposition of high-dimensional data often struggles to capture semantically or physically meaningful structures, particularly when relying on reconstruction objectives and fixed-rank constraints. We introduce a no-rank tensor…

Machine Learning · Computer Science 2026-03-03 Maryam Bagherian

Despite the growing availability of high-capacity computational platforms, implementation complexity still has been a great concern for the real-world deployment of neural networks. This concern is not exclusively due to the huge costs of…

Machine Learning · Computer Science 2023-12-19 Felipe Dennis de Resende Oliveira , Eduardo Luiz Ortiz Batista , Rui Seara

Deep neural networks (DNNs) frequently contain far more weights, represented at a higher precision, than are required for the specific task which they are trained to perform. Consequently, they can often be compressed using techniques such…

Machine Learning · Computer Science 2020-12-03 Vinu Joseph , Saurav Muralidharan , Animesh Garg , Michael Garland , Ganesh Gopalakrishnan

Principal component analysis, dictionary learning, and auto-encoders are all unsupervised methods for learning representations from a large amount of training data. In all these methods, the higher the dimensions of the input data, the…

Machine Learning · Computer Science 2019-08-27 Thomas Chang , Bahareh Tolooshams , Demba Ba

Optimizing reranking in advertising feeds is a constrained combinatorial problem, requiring simultaneous maximization of platform revenue and preservation of user experience. Recent generative ranking methods enable listwise optimization…

Information Retrieval · Computer Science 2026-03-05 Chenfei Li , Hantao Zhao , Weixi Yao , Ruiming Huang , Rongrong Lu , Geng Tian , Dongying Kong

The lack of mathematical tractability of Deep Neural Networks (DNNs) has hindered progress towards having a unified convergence analysis of training algorithms, in the general setting. We propose a unified optimization framework for…

Machine Learning · Computer Science 2018-05-24 Hadi Ghauch , Hossein Shokri-Ghadikolaei , Carlo Fischione , Mikael Skoglund

In recent years, large language models (LLMs) have driven advances in natural language processing. Still, their growing scale has increased the computational burden, necessitating a balance between efficiency and performance. Low-rank…

Computation and Language · Computer Science 2025-02-25 Yixin Ji , Yang Xiang , Juntao Li , Qingrong Xia , Zi Ye , Xinyu Duan , Zhefeng Wang , Kehai Chen , Min Zhang

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