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In this paper, we propose a nested matrix-tensor model which extends the spiked rank-one tensor model of order three. This model is particularly motivated by a multi-view clustering problem in which multiple noisy observations of each data…

机器学习 · 统计学 2023-06-01 Mohamed El Amine Seddik , Mastane Achab , Henrique Goulart , Merouane Debbah

Bottom-Up Hidden Tree Markov Model is a highly expressive model for tree-structured data. Unfortunately, it cannot be used in practice due to the intractable size of its state-transition matrix. We propose a new approximation which lies on…

机器学习 · 计算机科学 2019-06-03 Daniele Castellana , Davide Bacciu

Multi-view clustering attracts much attention recently, which aims to take advantage of multi-view information to improve the performance of clustering. However, most recent work mainly focus on self-representation based subspace…

计算机视觉与模式识别 · 计算机科学 2019-10-02 Jianlong Wu , Zhouchen Lin , Hongbin Zha

In the tensor completion problem, one seeks to estimate a low-rank tensor based on a random sample of revealed entries. In terms of the required sample size, earlier work revealed a large gap between estimation with unbounded computational…

数据结构与算法 · 计算机科学 2016-12-26 Andrea Montanari , Nike Sun

In many real-world applications, data are often unlabeled and comprised of different representations/views which often provide information complementary to each other. Although several multi-view clustering methods have been proposed, most…

机器学习 · 计算机科学 2018-10-19 Lifang He , Chun-ta Lu , Yong Chen , Jiawei Zhang , Linlin Shen , Philip S. Yu , Fei Wang

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

机器学习 · 计算机科学 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

Graph-based multi-view clustering has become an active topic due to the efficiency in characterizing both the complex structure and relationship between multimedia data. However, existing methods have the following shortcomings: (1) They…

计算机视觉与模式识别 · 计算机科学 2021-08-17 Tianyu Jiang , Quanxue Gao , Xinbo Gao

Tensors or multiarray data are generalizations of matrices. Tensor clustering has become a very important research topic due to the intrinsically rich structures in real-world multiarray datasets. Subspace clustering based on vectorizing…

计算机视觉与模式识别 · 计算机科学 2015-04-30 Yanfeng Sun , Junbin Gao , Xia Hong , Bamdev Mishra , Baocai Yin

Self-attention has greatly contributed to the success of the widely used Transformer architecture by enabling learning from data with long-range dependencies. In an effort to improve performance, a gated attention model that leverages a…

机器学习 · 计算机科学 2026-02-03 Viet Nguyen , Tuan Minh Pham , Thinh Cao , Tan Dinh , Huy Nguyen , Nhat Ho , Alessandro Rinaldo

Low rank tensor representation underpins much of recent progress in tensor completion. In real applications, however, this approach is confronted with two challenging problems, namely (1) tensor rank determination; (2) handling real tensor…

计算机视觉与模式识别 · 计算机科学 2017-08-04 Lei Zhang , Wei Wei , Qinfeng Shi , Chunhua Shen , Anton van den Hengel , Yanning Zhang

Spectral clustering and co-clustering are well-known techniques in data analysis, and recent work has extended spectral clustering to square, symmetric tensors and hypermatrices derived from a network. We develop a new tensor spectral…

社会与信息网络 · 计算机科学 2016-03-02 Tao Wu , Austin R. Benson , David F. Gleich

Low rank tensor decompositions are a powerful tool for learning generative models, and uniqueness results give them a significant advantage over matrix decomposition methods. However, tensors pose significant algorithmic challenges and…

数据结构与算法 · 计算机科学 2014-01-21 Aditya Bhaskara , Moses Charikar , Ankur Moitra , Aravindan Vijayaraghavan

Personalized recommendations are one of the most widely deployed machine learning (ML) workload serviced from cloud datacenters. As such, architectural solutions for high-performance recommendation inference have recently been the target of…

硬件体系结构 · 计算机科学 2020-10-27 Youngeun Kwon , Yunjae Lee , Minsoo Rhu

The plenty information from multiple views data as well as the complementary information among different views are usually beneficial to various tasks, e.g., clustering, classification, de-noising. Multi-view subspace clustering is based on…

计算机视觉与模式识别 · 计算机科学 2016-09-02 Ming Yin , Junbin Gao , Shengli Xie , Yi Guo

To efficiently express tensor data using the Tucker format, a critical task is to minimize the multilinear rank such that the model would not be over-flexible and lead to overfitting. Due to the lack of rank minimization tools in tensor,…

信号处理 · 电气工程与系统科学 2024-09-11 Xueke Tong , Hancheng Zhu , Lei Cheng , Yik-Chung Wu

Most recently, tensor-SVD is implemented on multi-view self-representation clustering and has achieved the promising results in many real-world applications such as face clustering, scene clustering and generic object clustering. However,…

计算机视觉与模式识别 · 计算机科学 2017-09-18 Yanyun Qu , Jinyan Liu , Yuan Xie , Wensheng Zhang

Multi-view clustering has been widely used in recent years in comparison to single-view clustering, for clear reasons, as it offers more insights into the data, which has brought with it some challenges, such as how to combine these views…

机器学习 · 计算机科学 2025-11-25 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

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…

信号处理 · 电气工程与系统科学 2023-07-19 Xiao Fu , Nico Vervliet , Lieven De Lathauwer , Kejun Huang , Nicolas Gillis

Low rank matrix and tensor completion problems are to recover the incomplete two and higher order data by using their low rank structures. The essential problem in the matrix and tensor completion problems is how to improve the efficiency.…

最优化与控制 · 数学 2024-08-23 Quan Yu , Xinzhen Zhang

Multi-view clustering has attracted broad attention due to its capacity to utilize consistent and complementary information among views. Although tremendous progress has been made recently, most existing methods undergo high complexity,…

机器学习 · 计算机科学 2023-06-28 Xinhang Wan , Jiyuan Liu , Xinwang Liu , Siwei Wang , Yi Wen , Tianjiao Wan , Li Shen , En Zhu
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