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Dictionary learning and component analysis are part of one of the most well-studied and active research fields, at the intersection of signal and image processing, computer vision, and statistical machine learning. In dictionary learning,…

机器学习 · 统计学 2017-07-27 Mehdi Bahri , Yannis Panagakis , Stefanos Zafeiriou

Tensorizing a neural network involves reshaping some or all of its dense weight matrices into higher-order tensors and approximating them using low-rank tensor network decompositions. This technique has shown promise as a model compression…

机器学习 · 计算机科学 2025-05-27 Safa Hamreras , Sukhbinder Singh , Román Orús

The Canonical Polyadic decomposition (CPD) is a convenient and intuitive tool for tensor factorization; however, for higher-order tensors, it often exhibits high computational cost and permutation of tensor entries, these undesirable…

数值分析 · 计算机科学 2018-09-05 Anh-Huy Phan , Andrzej Cichocki , Ivan Oseledets , Salman Ahmadi Asl , Giuseppe Calvi , Danilo Mandic

Tensor networks have in recent years emerged as the powerful tools for solving the large-scale optimization problems. One of the most popular tensor network is tensor train (TT) decomposition that acts as the building blocks for the…

数值分析 · 计算机科学 2016-06-20 Qibin Zhao , Guoxu Zhou , Shengli Xie , Liqing Zhang , Andrzej Cichocki

Tensor decomposition is an important technique for capturing the high-order interactions among multiway data. Multi-linear tensor composition methods, such as the Tucker decomposition and the CANDECOMP/PARAFAC (CP), assume that the complex…

机器学习 · 统计学 2016-11-04 Bin Liu , Zenglin Xu , Yingming Li

Deep Convolutional Neural Networks (CNN) have been successfully applied to many real-life problems. However, the huge memory cost of deep CNN models poses a great challenge of deploying them on memory-constrained devices (e.g., mobile…

计算机视觉与模式识别 · 计算机科学 2020-10-07 Weichao Lan , Liang Lan

Remote Sensing Scene Classification is a challenging and valuable research topic, in which Convolutional Neural Network (CNN) has played a crucial role. CNN can extract hierarchical convolutional features from remote sensing imagery, and…

计算机视觉与模式识别 · 计算机科学 2024-02-02 Yinzhu Cheng

In recent years, convolutional neural networks (CNNs) have shown great performance in various fields such as image classification, pattern recognition, and multi-media compression. Two of the feature properties, local connectivity and…

机器学习 · 计算机科学 2018-07-24 Qianru Zhang , Meng Zhang , Tinghuan Chen , Zhifei Sun , Yuzhe Ma , Bei Yu

In tensor completion tasks, the traditional low-rank tensor decomposition models suffer from the laborious model selection problem due to their high model sensitivity. In particular, for tensor ring (TR) decomposition, the number of model…

机器学习 · 计算机科学 2018-12-03 Longhao Yuan , Chao Li , Danilo Mandic , Jianting Cao , Qibin Zhao

The fully-connected tensor network (FCTN) decomposition has recently exhibited strong modeling capabilities by connecting every pair of tensor factors, thereby capturing rich cross-mode correlations. However, this advantage comes with an…

最优化与控制 · 数学 2026-04-13 Ziyi Gan , Chunfeng Cui

Compressed deep learning models are crucial for deploying computer vision systems on resource-constrained devices. However, model compression may affect robustness, especially under natural corruption. Therefore, it is important to consider…

It is challenging to reduce the complexity of neural networks while maintaining their generalization ability and robustness, especially for practical applications. Conventional solutions for this problem incorporate quantum-inspired neural…

机器学习 · 计算机科学 2025-11-13 Andi Chen

The state-of-the-art performance for several real-world problems is currently reached by convolutional neural networks (CNN). Such learning models exploit recent results in the field of deep learning, typically leading to highly performing,…

机器学习 · 计算机科学 2021-08-31 Giosuè Cataldo Marinò , Alessandro Petrini , Dario Malchiodi , Marco Frasca

Currently, the size of scientific data is growing at an unprecedented rate. Data in the form of tensors exhibit high-order, high-dimensional, and highly sparse features. Although tensor-based analysis methods are very effective, the large…

分布式、并行与集群计算 · 计算机科学 2022-10-13 Zixuan Li

Higher-order tensors are well-suited for representing multi-dimensional data, such as images and videos, which typically characterize low-rank structures. Low-rank tensor decomposition has become essential in machine learning and computer…

计算机视觉与模式识别 · 计算机科学 2025-10-08 Zhengyun Cheng , Ruizhe Zhang , Guanwen Zhang , Yi Xu , Xiangyang Ji , Wei Zhou

Low-rank decomposition plays a central role in accelerating convolutional neural network (CNN), and the rank of decomposed kernel-tensor is a key parameter that determines the complexity and accuracy of a neural network. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2018-07-02 Hyeji Kim , Chong-Min Kyung

We propose a generalized convolutional neural network (CNN) architecture that first decomposes the input signal into subbands by an adaptive filter bank structure, and then uses convolutional layers to extract features from each subband…

图像与视频处理 · 电气工程与系统科学 2023-06-30 Pavel Sinha , Ioannis Psaromiligkos , Zeljko Zilic

CP decomposition is a powerful tool for data science, especially gene analysis, deep learning, and quantum computation. However, the application of tensor decomposition is largely hindered by the exponential increment of the computational…

机器学习 · 计算机科学 2023-11-27 Zeliang Zhang , Zhuo Liu , Susan Liang , Zhiyuan Wang , Yifan Zhu , Chen Ding , Chenliang Xu

The rapid growth in computing demands, particularly driven by artificial intelligence applications, has begun to exceed the capabilities of traditional electronic hardware. Optical computing offers a promising alternative due to its…

硬件体系结构 · 计算机科学 2025-07-24 Shupeng Ning , Hanqing Zhu , Chenghao Feng , Jiaqi Gu , David Z. Pan , Ray T. Chen

The tensor-train (TT) format is a data-sparse tensor representation commonly used in high dimensional data approximations. In order to represent data with interpretability in data science, researchers develop data-centric skeletonized low…

数值分析 · 数学 2026-02-10 Daniel Hayes , Jing-Mei Qiu , Tianyi Shi