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On-device fine-tuning is a critical capability for edge AI systems, which must support adaptation to different agentic tasks under stringent memory constraints. Conventional backpropagation (BP)-based training requires storing layer…

机器学习 · 计算机科学 2026-05-06 Prabodh Katti , Houssem Sifaou , Sangwoo Park , Bipin Rajendran , Osvaldo Simeone

This chapter studies the problem of decomposing a tensor into a sum of constituent rank one tensors. While tensor decompositions are very useful in designing learning algorithms and data analysis, they are NP-hard in the worst-case. We will…

数据结构与算法 · 计算机科学 2020-07-31 Aravindan Vijayaraghavan

Machine learning and data mining algorithms are becoming increasingly important in analyzing large volume, multi-relational and multi--modal datasets, which are often conveniently represented as multiway arrays or tensors. It is therefore…

数值分析 · 计算机科学 2017-09-12 A. Cichocki , N. Lee , I. V. Oseledets , A. -H. Phan , Q. Zhao , D. Mandic

We evaluate performance of associative memory in a neural network by based on the singular value decomposition (SVD) of image data stored in the network. We consider the situation in which the original image and its highly coarse-grained…

统计力学 · 物理学 2017-03-08 Tatsuya Kumamoto , Mao Suzuki , Hiroaki Matsueda

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…

计算机视觉与模式识别 · 计算机科学 2021-12-08 Bo-Shiuan Chu , Che-Rung Lee

We study mechanisms to characterize how the asymptotic convergence of backpropagation in deep architectures, in general, is related to the network structure, and how it may be influenced by other design choices including activation type,…

机器学习 · 计算机科学 2017-03-02 Vamsi K Ithapu , Sathya N Ravi , Vikas Singh

Tensors provide a robust framework for managing high-dimensional data. Consequently, tensor analysis has emerged as an active research area in various domains, including machine learning, signal processing, computer vision, graph analysis,…

统计计算 · 统计学 2025-10-01 Michele Gallo

The deep neural network (DNN) based AI applications on the edge require both low-cost computing platforms and high-quality services. However, the limited memory, computing resources, and power budget of the edge devices constrain the…

机器学习 · 计算机科学 2021-05-14 Yao Chen , Cole Hawkins , Kaiqi Zhang , Zheng Zhang , Cong Hao

Tensor algebra is a crucial component for data-intensive workloads such as machine learning and scientific computing. As the complexity of data grows, scientists often encounter a dilemma between the highly specialized dense tensor algebra…

编程语言 · 计算机科学 2024-07-19 Mahdi Ghorbani , Emilien Bauer , Tobias Grosser , Amir Shaikhha

The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data such as higher-order tensors. While early approaches…

数值分析 · 计算机科学 2018-07-03 Alp Ozdemir , Ali Zare , Mark A. Iwen , Selin Aviyente

A deep neural network is a parametrization of a multilayer mapping of signals in terms of many alternatively arranged linear and nonlinear transformations. The linear transformations, which are generally used in the fully connected as well…

机器学习 · 计算机科学 2020-07-01 Ze-Feng Gao , Song Cheng , Rong-Qiang He , Z. Y. Xie , Hui-Hai Zhao , Zhong-Yi Lu , Tao Xiang

Tensors are a natural way to express correlations among many physical variables, but storing tensors in a computer naively requires memory which scales exponentially in the rank of the tensor. This is not optimal, as the required memory is…

计算物理 · 物理学 2018-12-03 Adam S. Jermyn

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…

数值分析 · 计算机科学 2017-05-31 Qibin Zhao , Masashi Sugiyama , Andrzej Cichocki

Training neural networks is a challenging non-convex optimization problem, and backpropagation or gradient descent can get stuck in spurious local optima. We propose a novel algorithm based on tensor decomposition for guaranteed training of…

机器学习 · 计算机科学 2016-01-13 Majid Janzamin , Hanie Sedghi , Anima Anandkumar

The problem of high-dimensional and large-scale representation of visual data is addressed from an unsupervised learning perspective. The emphasis is put on discrete representations, where the description length can be measured in bits and…

机器学习 · 计算机科学 2019-01-25 Sohrab Ferdowsi

Learning-based lossy image compression usually involves the joint optimization of rate-distortion performance. Most existing methods adopt spatially invariant bit length allocation and incorporate discrete entropy approximation to constrain…

计算机视觉与模式识别 · 计算机科学 2019-04-02 Mu Li , Wangmeng Zuo , Shuhang Gu , Jane You , David Zhang

Edge machine learning presents a unique set of constraints not encountered in cloud-scale model deployment: strict memory budgets, limited compute, and non-negotiable accuracy thresholds must all be satisfied simultaneously. Existing…

机器学习 · 计算机科学 2026-05-18 Vishy Gopal , Aris Ilias Goutis , Ralph Crewe , Erin Yanacek , Rorry Brenner

Significant success has been reported recently using deep neural networks for classification. Such large networks can be computationally intensive, even after training is over. Implementing these trained networks in hardware chips with a…

机器学习 · 统计学 2013-10-25 Daniel Soudry , Ron Meir

In this paper, we propose a Tensor Train Neighborhood Preserving Embedding (TTNPE) to embed multi-dimensional tensor data into low dimensional tensor subspace. Novel approaches to solve the optimization problem in TTNPE are proposed. For…

机器学习 · 计算机科学 2018-05-09 Wenqi Wang , Vaneet Aggarwal , Shuchin Aeron

Computing at the edge offers intriguing possibilities for the development of autonomy and artificial intelligence. The advancements in autonomous technologies and the resurgence of computer vision have led to a rise in demand for fast and…

计算机视觉与模式识别 · 计算机科学 2020-07-23 Martina Lofqvist , José Cano