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This paper presents Orthogonal Subspace Clustering (OSC), an innovative method for high-dimensional data clustering. We first establish a theoretical theorem proving that high-dimensional data can be decomposed into orthogonal subspaces in…

机器学习 · 计算机科学 2026-03-17 Qing-Yuan Wen , Da-Qing Zhang

Clustering performs an essential role in many real world applications, such as market research, pattern recognition, data analysis, and image processing. However, due to the high dimensionality of the input feature values, the data being…

机器学习 · 计算机科学 2021-02-16 Si Lu , Ruisi Li

Nonlinear subspace clustering based on a feed-forward neural network has been demonstrated to provide better clustering accuracy than some advanced subspace clustering algorithms. While this approach demonstrates impressive outcomes, it…

机器学习 · 计算机科学 2024-08-28 Long Shi , Lei Cao , Zhongpu Chen , Badong Chen , Yu Zhao

Subspace clustering is a growing field of unsupervised learning that has gained much popularity in the computer vision community. Applications can be found in areas such as motion segmentation and face clustering. It assumes that data…

机器学习 · 统计学 2019-11-12 Hankui Peng , Nicos G. Pavlidis

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

机器学习 · 统计学 2021-06-09 Hankui Peng , Nicos G. Pavlidis

Many clustering problems in computer vision and other contexts are also classification problems, where each cluster shares a meaningful label. Subspace clustering algorithms in particular are often applied to problems that fit this…

机器学习 · 计算机科学 2017-09-15 John Lipor , Laura Balzano

Subspace clustering refers to the problem of segmenting data drawn from a union of subspaces. State-of-the-art approaches for solving this problem follow a two-stage approach. In the first step, an affinity matrix is learned from the data…

计算机视觉与模式识别 · 计算机科学 2017-04-06 Chun-Guang Li , Chong You , René Vidal

Subspace clustering has become widely adopted for the unsupervised analysis of hyperspectral images (HSIs). Recent model-aware deep subspace clustering methods often use a two-stage framework, involving the calculation of a…

计算机视觉与模式识别 · 计算机科学 2025-06-16 Xianlu Li , Nicolas Nadisic , Shaoguang Huang , Nikos Deligiannis , Aleksandra Pižurica

Unsupervised learning has gained prominence in the big data era, offering a means to extract valuable insights from unlabeled datasets. Deep clustering has emerged as an important unsupervised category, aiming to exploit the non-linear…

机器学习 · 计算机科学 2024-02-02 Georgios Vardakas , Ioannis Papakostas , Aristidis Likas

Clustering functional data in the presence of phase variation is challenging, as temporal misalignment can obscure intrinsic shape differences and degrade clustering performance. Most existing approaches treat registration and clustering as…

机器学习 · 统计学 2026-04-30 Xinyang Xiong , Siyuan jiang , Pengcheng Zeng

Neural network-based clustering has recently gained popularity, and in particular a constrained clustering formulation has been proposed to perform transfer learning and image category discovery using deep learning. The core idea is to…

计算机视觉与模式识别 · 计算机科学 2018-06-29 Yen-Chang Hsu , Zhaoyang Lv , Joel Schlosser , Phillip Odom , Zsolt Kira

Clustering high-dimensional datasets is hard because interpoint distances become less informative in high-dimensional spaces. We present a clustering algorithm that performs nonlinear dimensionality reduction and clustering jointly. The…

机器学习 · 计算机科学 2018-03-06 Sohil Atul Shah , Vladlen Koltun

In this paper we propose a Deep Autoencoder MIxture Clustering (DAMIC) algorithm based on a mixture of deep autoencoders where each cluster is represented by an autoencoder. A clustering network transforms the data into another space and…

机器学习 · 计算机科学 2019-03-28 Shlomo E. Chazan , Sharon Gannot , Jacob Goldberger

Massive volumes of high-dimensional data that evolves over time is continuously collected by contemporary information processing systems, which brings up the problem of organizing this data into clusters, i.e. achieve the purpose of…

机器学习 · 计算机科学 2019-10-22 Di Xu , Tianhang Long , Junbin Gao

Subspace clustering refers to the problem of clustering unlabeled high-dimensional data points into a union of low-dimensional linear subspaces, assumed unknown. In practice one may have access to dimensionality-reduced observations of the…

信息论 · 计算机科学 2014-04-29 Reinhard Heckel , Michael Tschannen , Helmut Bölcskei

This paper presents a novel approach, called Prototype-based Self-Distillation (ProS), for unsupervised face representation learning. The existing supervised methods heavily rely on a large amount of annotated training facial data, which…

计算机视觉与模式识别 · 计算机科学 2023-11-08 Xing Di , Yiyu Zheng , Xiaoming Liu , Yu Cheng

Multi-view subspace clustering aims to discover the inherent structure of data by fusing multiple views of complementary information. Most existing methods first extract multiple types of handcrafted features and then learn a joint affinity…

计算机视觉与模式识别 · 计算机科学 2024-03-26 Pengfei Zhu , Xinjie Yao , Yu Wang , Binyuan Hui , Dawei Du , Qinghua Hu

Aiming at improving performance of visual classification in a cost-effective manner, this paper proposes an incremental semi-supervised learning paradigm called Deep Co-Space (DCS). Unlike many conventional semi-supervised learning methods…

计算机视觉与模式识别 · 计算机科学 2017-08-01 Ziliang Chen , Keze Wang , Xiao Wang , Pai Peng , Ebroul Izquierdo , Liang Lin

Recent multi-view subspace clustering achieves impressive results utilizing deep networks, where the self-expressive correlation is typically modeled by a fully connected (FC) layer. However, they still suffer from two limitations. i) The…

计算机视觉与模式识别 · 计算机科学 2023-12-05 Yuxiu Lin , Hui Liu , Ren Wang , Qiang Guo , Caiming Zhang

Insufficient capability of existing subspace clustering methods to handle data coming from nonlinear manifolds, data corruptions, and out-of-sample data hinders their applicability to address real-world clustering and classification…

计算机视觉与模式识别 · 计算机科学 2020-04-08 Dario Sitnik , Ivica Kopriva