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Spectral clustering is one of the most widely used techniques for extracting the underlying global structure of a data set. Compressed sensing and matrix completion have emerged as prevailing methods for efficiently recovering sparse and…

数值分析 · 数学 2010-11-05 Blake Hunter , Thomas Strohmer

The extraction of clusters from a dataset which includes multiple clusters and a significant background component is a non-trivial task of practical importance. In image analysis this manifests for example in anomaly detection and target…

机器学习 · 计算机科学 2019-08-26 Xiuyuan Cheng , Gal Mishne

Subspace clustering (SC) refers to the problem of clustering high-dimensional data into a union of low-dimensional subspaces. Based on spectral clustering, state-of-the-art approaches solve SC problem within a two-stage framework. In the…

机器学习 · 计算机科学 2019-05-06 Shuai Yang , Wenqi Zhu , Yuesheng Zhu

Clustering is an effective tool for astronomical spectral analysis, to mine clustering patterns among data. With the implementation of large sky surveys, many clustering methods have been applied to tackle spectroscopic and photometric data…

天体物理仪器与方法 · 物理学 2022-12-19 Haifeng Yang , Chenhui Shi , Jianghui Cai , Lichan Zhou , Yuqing Yang , Xujun Zhao , Yanting He , Jing Hao

In this paper we present a new dynamical systems algorithm for clustering in hyperspectral images. The main idea of the algorithm is that data points are \`pushed\' in the direction of increasing density and groups of pixels that end up in…

计算机视觉与模式识别 · 计算机科学 2022-07-22 William F. Basener , Alexey Castrodad , David Messinger , Jennifer Mahle , Paul Prue

Deep clustering is a deep neural network-based speech separation algorithm that first trains the mixed component of signals with high-dimensional embeddings, and then uses a clustering algorithm to separate each mixture of sources. In this…

音频与语音处理 · 电气工程与系统科学 2019-01-16 Soyeon Choe , Soo-Whan Chung , Youna Ji , Hong-Goo Kang

Clustering of hyperspectral images is a fundamental but challenging task. The recent development of hyperspectral image clustering has evolved from shallow models to deep and achieved promising results in many benchmark datasets. However,…

计算机视觉与模式识别 · 计算机科学 2021-11-16 Yaoming Cai , Zijia Zhang , Yan Liu , Pedram Ghamisi , Kun Li , Xiaobo Liu , Zhihua Cai

Deep clustering is the first method to handle general audio separation scenarios with multiple sources of the same type and an arbitrary number of sources, performing impressively in speaker-independent speech separation tasks. However,…

机器学习 · 统计学 2017-11-30 Yi Luo , Zhuo Chen , John R. Hershey , Jonathan Le Roux , Nima Mesgarani

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

机器学习 · 计算机科学 2021-01-11 Hongjing Zhang , Tianyang Zhan , Sugato Basu , Ian Davidson

Auto-Encoder (AE)-based deep subspace clustering (DSC) methods have achieved impressive performance due to the powerful representation extracted using deep neural networks while prioritizing categorical separability. However,…

计算机视觉与模式识别 · 计算机科学 2021-05-17 Juncheng Lv , Zhao Kang , Xiao Lu , Zenglin Xu

Deep clustering methods improve the performance of clustering tasks by jointly optimizing deep representation learning and clustering. While numerous deep clustering algorithms have been proposed, most of them rely on artificially…

机器学习 · 计算机科学 2024-01-30 Zhanwen Cheng , Feijiang Li , Jieting Wang , Yuhua Qian

We review clustering as an analysis tool and the underlying concepts from an introductory perspective. What is clustering and how can clusterings be realised programmatically? How can data be represented and prepared for a clustering task?…

机器学习 · 计算机科学 2022-12-05 Jan-Oliver Felix Kapp-Joswig , Bettina G. Keller

Multi-manifold modeling is increasingly used in segmentation and data representation tasks in computer vision and related fields. While the general problem, modeling data by mixtures of manifolds, is very challenging, several approaches…

计算机视觉与模式识别 · 计算机科学 2012-10-08 G. Chen , S. Atev , G. Lerman

Spectral clustering is one of the most popular clustering methods. However, how to balance the efficiency and effectiveness of the large-scale spectral clustering with limited computing resources has not been properly solved for a long…

机器学习 · 计算机科学 2022-07-12 Hongmin Li , Xiucai Ye , Akira Imakura , Tetsuya Sakurai

Image processing is an important research area in computer vision. Image segmentation plays the vital rule in image processing research. There exist so many methods for image segmentation. Clustering is an unsupervised study. Clustering can…

计算机视觉与模式识别 · 计算机科学 2014-07-31 Dibya Jyoti Bora , Anil Kumar Gupta

In this paper we prove the strong consistency of several methods based on the spectral clustering techniques that are widely used to study the community detection problem in stochastic block models (SBMs). We show that under some weak…

统计方法学 · 统计学 2019-05-16 Liangjun Su , Wuyi Wang , Yichong Zhang

Deep clustering (DC) is often quoted to have a key advantage over $k$-means clustering. Yet, this advantage is often demonstrated using image datasets only, and it is unclear whether it addresses the fundamental limitations of $k$-means…

机器学习 · 计算机科学 2026-02-06 Kai Ming Ting , Wei-Jie Xu , Hang Zhang

Deep clustering methods typically rely on a single, well-defined representation for clustering. In contrast, pretrained diffusion models provide abundant and diverse multi-scale representations across network layers and noise timesteps.…

The performance of spectral clustering heavily relies on the quality of affinity matrix. A variety of affinity-matrix-construction (AMC) methods have been proposed but they have hyperparameters to determine beforehand, which requires strong…

机器学习 · 计算机科学 2023-02-07 Jicong Fan , Yiheng Tu , Zhao Zhang , Mingbo Zhao , Haijun Zhang

The unsupervised learning of community structure, in particular the partitioning vertices into clusters or communities, is a canonical and well-studied problem in exploratory graph analysis. However, like most graph analyses the…

机器学习 · 计算机科学 2020-07-27 Benjamin W. Priest , Alec Dunton , Geoffrey Sanders