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Tensors offer a natural representation for many kinds of data frequently encountered in machine learning. Images, for example, are naturally represented as third order tensors, where the modes correspond to height, width, and channels.…

Machine Learning · Computer Science 2017-06-05 Jean Kossaifi , Aran Khanna , Zachary C. Lipton , Tommaso Furlanello , Anima Anandkumar

Deep neural networks have achieved strong performance in image classification tasks due to their ability to learn complex patterns from high-dimensional data. However, their large computational and memory requirements often limit deployment…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Sai Shi

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

Three dimensional convolutional neural networks (3DCNNs) have been applied in many tasks, e.g., video and 3D point cloud recognition. However, due to the higher dimension of convolutional kernels, the space complexity of 3DCNNs is generally…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Dingheng Wang , Guangshe Zhao , Guoqi Li , Lei Deng , Yang Wu

We propose a decentralized learning algorithm over a general social network. The algorithm leaves the training data distributed on the mobile devices while utilizing a peer to peer model aggregation method. The proposed algorithm allows…

Machine Learning · Statistics 2019-05-28 Anusha Lalitha , Xinghan Wang , Osman Kilinc , Yongxi Lu , Tara Javidi , Farinaz Koushanfar

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…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Chang Nie , Huan Wang , Lu Zhao

Compression of a neural network can help in speeding up both the training and the inference of the network. In this research, we study applying compression using low rank decomposition on network layers. Our research demonstrates that to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-25 Walid Ahmed , Habib Hajimolahoseini , Austin Wen , Yang Liu

Tensor decompositions are promising tools for big data analytics as they bring multiple modes and aspects of data to a unified framework, which allows us to discover complex internal structures and correlations of data. Unfortunately most…

Numerical Analysis · Computer Science 2014-12-30 Guoxu Zhou , Andrzej Cichocki , Shengli Xie

The modern convolutional neural networks although achieve great results in solving complex computer vision tasks still cannot be effectively used in mobile and embedded devices due to the strict requirements for computational complexity,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Nikolay Kozyrskiy , Anh-Huy Phan

Tensor networks have recently found applications in machine learning for both supervised learning and unsupervised learning. The most common approaches for training these models are gradient descent methods. In this work, we consider an…

Machine Learning · Computer Science 2023-06-27 Sheng-Hsuan Lin , Olivier Kuijpers , Sebastian Peterhansl , Frank Pollmann

Deep convolution neural network has achieved great success in many artificial intelligence applications. However, its enormous model size and massive computation cost have become the main obstacle for deployment of such powerful algorithm…

Computer Vision and Pattern Recognition · Computer Science 2018-07-23 Zhezhi He , Boqing Gong , Deliang Fan

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

Machine Learning · Computer Science 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

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

Deep neural networks currently demonstrate state-of-the-art performance in several domains. At the same time, models of this class are very demanding in terms of computational resources. In particular, a large amount of memory is required…

Machine Learning · Computer Science 2015-12-22 Alexander Novikov , Dmitry Podoprikhin , Anton Osokin , Dmitry Vetrov

In this paper, we investigate the statistical convergence rate of a Bayesian low-rank tensor estimator. Our problem setting is the regression problem where a tensor structure underlying the data is estimated. This problem setting occurs in…

Machine Learning · Statistics 2014-08-14 Taiji Suzuki

Deep convolutional neural networks (CNNs) with a large number of parameters require intensive computational resources, and thus are hard to be deployed in resource-constrained platforms. Decomposition-based methods, therefore, have been…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Shaowu Chen , Jiahao Zhou , Weize Sun , Lei Huang

This work focuses on reducing neural network size, which is a major driver of neural network execution time, power consumption, bandwidth, and memory footprint. A key challenge is to reduce size in a manner that can be exploited readily for…

Machine Learning · Computer Science 2025-06-18 Szabolcs Cséfalvay , James Imber

The brain is a highly reconfigurable machine capable of task-specific adaptations. The brain continually rewires itself for a more optimal configuration to solve problems. We propose a novel strategic synthesis algorithm for feedforward…

Artificial Intelligence · Computer Science 2021-04-22 Alastair Finlinson , Sotiris Moschoyiannis

This work introduces a tensor-based method to perform supervised classification on spatiotemporal data processed in an echo state network. Typically when performing supervised classification tasks on data processed in an echo state network,…

Machine Learning · Computer Science 2017-08-25 Ashley Prater

Tensor Network (TN) decompositions have emerged as an indispensable tool in Big Data analytics owing to their ability to provide compact low-rank representations, thus alleviating the ``Curse of Dimensionality'' inherent in handling…

Machine Learning · Computer Science 2025-07-15 Wuyang Zhou , Giorgos Iacovides , Kriton Konstantinidis , Ilya Kisil , Danilo Mandic