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相关论文: Robust subspace clustering by Cauchy loss function

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We address the problem of un-supervised soft-clustering called micro-clustering. The aim of the problem is to enumerate all groups composed of records strongly related to each other, while standard clustering methods separate records at…

数据结构与算法 · 计算机科学 2016-06-07 Takeaki Uno , Hiroki Maegawa , Takanobu Nakahara , Yukinobu Hamuro , Ryo Yoshinaka , Makoto Tatsuta

In this paper we propose a unified framework to simultaneously discover the number of clusters and group the data points into them using subspace clustering. Real data distributed in a high-dimensional space can be disentangled into a union…

计算机视觉与模式识别 · 计算机科学 2019-07-24 Jie Liang , Jufeng Yang , Ming-Ming Cheng , Paul L. Rosin , Liang Wang

Convolutional sparse coding (CSC) can learn representative shift-invariant patterns from multiple kinds of data. However, existing CSC methods can only model noises from Gaussian distribution, which is restrictive and unrealistic. In this…

机器学习 · 计算机科学 2020-04-22 Yaqing Wang , James T. Kwok , Lionel M. Ni

Locality-sensitive hashing (LSH) is an important tool for managing high-dimensional noisy or uncertain data, for example in connection with data cleaning (similarity join) and noise-robust search (similarity search). However, for a number…

数据结构与算法 · 计算机科学 2018-04-18 Martin Aumüller , Tobias Christiani , Rasmus Pagh , Francesco Silvestri

This paper studies computationally efficient methods and their minimax optimality for high-dimensional clustering and signal recovery under block signal structures. We propose two sets of methods, cross-block feature aggregation PCA…

统计方法学 · 统计学 2025-04-14 Wu Su , Yumou Qiu

Locating a target is key in many applications, namely in high-stakes real-world scenarios, like detecting humans or obstacles in vehicular networks. In scenarios where precise statistics of the measurement noise are unavailable,…

最优化与控制 · 数学 2022-08-17 João Domingos , Cláudia Soares , João Xavier

Bayesian clustering typically relies on mixture models, with each component interpreted as a different cluster. After defining a prior for the component parameters and weights, Markov chain Monte Carlo (MCMC) algorithms are commonly used to…

统计方法学 · 统计学 2024-07-30 Alexander Dombowsky , David B. Dunson

Spectral clustering is a fundamental technique in the field of data mining and information processing. Most existing spectral clustering algorithms integrate dimensionality reduction into the clustering process assisted by manifold learning…

机器学习 · 计算机科学 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang , Xiaofang Zhou

Subspace clustering refers to the problem of clustering high-dimensional data points into a union of low-dimensional linear subspaces, where the number of subspaces, their dimensions and orientations are all unknown. In this paper, we…

机器学习 · 统计学 2014-03-17 Reinhard Heckel , Eirikur Agustsson , Helmut Bölcskei

A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

统计方法学 · 统计学 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton

Subspace clustering techniques have shown promise in hyperspectral image segmentation. The fundamental assumption in subspace clustering is that the samples belonging to different clusters/segments lie in separable subspaces. What if this…

计算机视觉与模式识别 · 计算机科学 2021-11-30 Anurag Goel , Angshul Majumdar

This paper studies the subspace clustering problem in which data points collected from high-dimensional ambient space lie in a union of linear subspaces. Subspace clustering becomes challenging when the dimension of intersection between…

机器学习 · 计算机科学 2021-08-17 Weiwei Li , Mostafa Rahmani , Ping Li

Subspace clustering (SC) algorithms utilize the union of subspaces model to cluster data points according to the subspaces from which they are drawn. To better address separability of subspaces and robustness to noise we propose a wavelet…

机器学习 · 计算机科学 2024-06-07 Ivica Kopriva , Damir Sersic

Convex clustering, a convex relaxation of k-means clustering and hierarchical clustering, has drawn recent attentions since it nicely addresses the instability issue of traditional nonconvex clustering methods. Although its computational…

统计方法学 · 统计学 2019-01-01 Binhuan Wang , Yilong Zhang , Will Wei Sun , Yixin Fang

Subspace clustering methods based on expressing each data point as a linear combination of all other points in a dataset are popular unsupervised learning techniques. However, existing methods incur high computational complexity on…

机器学习 · 计算机科学 2019-08-05 Farhad Pourkamali-Anaraki

Multi-view clustering is an important approach to analyze multi-view data in an unsupervised way. Among various methods, the multi-view subspace clustering approach has gained increasing attention due to its encouraging performance.…

机器学习 · 计算机科学 2019-12-04 Juncheng Lv , Zhao Kang , Boyu Wang , Luping Ji , Zenglin Xu

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

机器学习 · 计算机科学 2022-08-30 Miao Cheng , Xinge You

Many state-of-the-art subspace clustering methods follow a two-step process by first constructing an affinity matrix between data points and then applying spectral clustering to this affinity. Most of the research into these methods focuses…

机器学习 · 计算机科学 2021-04-21 Derek Lim , René Vidal , Benjamin D. Haeffele

Semi-supervised learning methods are usually employed in the classification of data sets where only a small subset of the data items is labeled. In these scenarios, label noise is a crucial issue, since the noise may easily spread to a…

机器学习 · 计算机科学 2020-02-14 Fabricio Aparecido Breve , Liang Zhao , Marcos Gonçalves Quiles

In this paper, we present a deep extension of Sparse Subspace Clustering, termed Deep Sparse Subspace Clustering (DSSC). Regularized by the unit sphere distribution assumption for the learned deep features, DSSC can infer a new data…

计算机视觉与模式识别 · 计算机科学 2017-09-26 Xi Peng , Jiashi Feng , Shijie Xiao , Jiwen Lu , Zhang Yi , Shuicheng Yan