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Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

Machine Learning · Statistics 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

Deep neural networks have demonstrated state-of-the-art performance in a variety of real-world applications. In order to obtain performance gains, these networks have grown larger and deeper, containing millions or even billions of…

Machine Learning · Computer Science 2018-02-27 Wenqi Wang , Yifan Sun , Brian Eriksson , Wenlin Wang , Vaneet Aggarwal

Modern Convolutional Neural Network (CNN) architectures, despite their superiority in solving various problems, are generally too large to be deployed on resource constrained edge devices. In this paper, we reduce memory usage and…

Computer Vision and Pattern Recognition · Computer Science 2022-01-17 Marawan Gamal Abdel Hameed , Marzieh S. Tahaei , Ali Mosleh , Vahid Partovi Nia

Although the convolutional neural networks (CNNs) have become popular for various image processing and computer vision task recently, it remains a challenging problem to reduce the storage cost of the parameters for resource-limited…

Machine Learning · Computer Science 2018-11-01 Chao Li , Zhun Sun , Jinshi Yu , Ming Hou , Qibin Zhao

This work studies the problem of high-dimensional data (referred to as tensors) completion from partially observed samplings. We consider that a tensor is a superposition of multiple low-rank components. In particular, each component can be…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Chang Nie , Huan Wang , Zhihui Lai

Neural networks are widely used for image-related tasks but typically demand considerable computing power. Once a network has been trained, however, its memory- and compute-footprint can be reduced by compression. In this work, we focus on…

Machine Learning · Computer Science 2025-11-13 Alper Kalle , Theo Rudkiewicz , Mohamed-Oumar Ouerfelli , Mohamed Tamaazousti

Deep neural networks (DNNs) are widely used today, but they are vulnerable to adversarial attacks. To develop effective methods of defense, it is important to understand the potential weak spots of DNNs. Often attacks are organized taking…

Numerical Analysis · Mathematics 2025-08-22 Andrei Chertkov , Ivan Oseledets

Neural Network designs are quite diverse, from VGG-style to ResNet-style, and from Convolutional Neural Networks to Transformers. Towards the design of efficient accelerators, many works have adopted a dataflow-based, inter-layer pipelined…

Machine Learning · Computer Science 2023-06-23 Zhewen Yu , Christos-Savvas Bouganis

We propose a framework for discrete scientific data compression based on the tensor-train (TT) decomposition. Our approach is tailored to handle unstructured output data from discrete element method (DEM) simulations, demonstrating its…

Numerical Analysis · Mathematics 2022-10-18 Saibal De , Eduardo Corona , Paramsothy Jayakumar , Shravan Veerapaneni

Nearest-neighbor search in large vector databases is crucial for various machine learning applications. This paper introduces a novel method using tensor-train (TT) low-rank tensor decomposition to efficiently represent point clouds and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Georgii Novikov , Alexander Gneushev , Alexey Kadeishvili , Ivan Oseledets

Many real-world datasets are represented as tensors, i.e., multi-dimensional arrays of numerical values. Storing them without compression often requires substantial space, which grows exponentially with the order. While many tensor…

Machine Learning · Computer Science 2023-09-21 Taehyung Kwon , Jihoon Ko , Jinhong Jung , Kijung Shin

Tensor networks (TN) have found a wide use in machine learning, and in particular, TN and deep learning bear striking similarities. In this work, we propose the quantum-classical hybrid tensor networks (HTN) which combine tensor networks…

Machine Learning · Computer Science 2024-08-15 Ding Liu , Jiaqi Yao , Zekun Yao , Quan Zhang

Binary Neural Networks (BNNs) enable efficient deep learning by saving on storage and computational costs. However, as the size of neural networks continues to grow, meeting computational requirements remains a challenge. In this work, we…

Machine Learning · Computer Science 2024-07-18 Matt Gorbett , Hossein Shirazi , Indrakshi Ray

This paper describes a new method for representing embedding tables of graph neural networks (GNNs) more compactly via tensor-train (TT) decomposition. We consider the scenario where (a) the graph data that lack node features, thereby…

Machine Learning · Computer Science 2022-06-22 Chunxing Yin , Da Zheng , Israt Nisa , Christos Faloutos , George Karypis , Richard Vuduc

As the complexity of deep neural networks (DNNs) trend to grow to absorb the increasing sizes of data, memory and energy consumption has been receiving more and more attentions for industrial applications, especially on mobile devices. This…

Machine Learning · Computer Science 2019-12-19 Lei Shi , Shikun Feng , Zhifan Zhu

Overparameterized networks trained to convergence have shown impressive performance in domains such as computer vision and natural language processing. Pushing state of the art on salient tasks within these domains corresponds to these…

Machine Learning · Computer Science 2020-08-04 James O' Neill

The Tucker decomposition expresses a given tensor as the product of a small core tensor and a set of factor matrices. Apart from providing data compression, the construction is useful in performing analysis such as principal component…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-19 Venkatesan T Chakaravarthy , Jee W Choi , Douglas J Joseph , Xing Liu , Prakash Murali , Yogish Sabharwal , Dheeraj Sreedhar

Deep Convolutional Neural Networks (CNNs) are increasingly difficult to deploy on microcontrollers (MCUs) and lightweight NPUs (Neural Processing Units) due to their growing size and compute demands. Low-rank tensor decomposition, such as…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Sudhakar Sah , Nikhil Chabbra , Matthieu Durnerin

Recurrent Neural Networks (RNNs) represent the de facto standard machine learning tool for sequence modelling, owing to their expressive power and memory. However, when dealing with large dimensional data, the corresponding exponential…

Machine Learning · Computer Science 2021-05-12 Yao Lei Xu , Giuseppe G. Calvi , Danilo P. Mandic

Low-rank tensor recovery problems have been widely studied in many applications of signal processing and machine learning. Tucker decomposition is known as one of the most popular decompositions in the tensor framework. In recent years,…

Numerical Analysis · Mathematics 2020-07-17 Rachel Grotheer , Shuang Li , Anna Ma , Deanna Needell , Jing Qin
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