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When selecting data to build machine learning models in practical applications, factors such as availability, acquisition cost, and discriminatory power are crucial considerations. Different data modalities often capture unique aspects of…

机器学习 · 计算机科学 2024-10-31 Chang Liu , Jieshi Chen , Lee H. Harrison , Artur Dubrawski

Graph clustering has many important applications in computing, but due to the increasing sizes of graphs, even traditionally fast clustering methods can be computationally expensive for real-world graphs of interest. Scalability problems…

社会与信息网络 · 计算机科学 2018-10-18 Kimon Fountoulakis , David F. Gleich , Michael W. Mahoney

Spectral clustering is a novel clustering method which can detect complex shapes of data clusters. However, it requires the eigen decomposition of the graph Laplacian matrix, which is proportion to $O(n^3)$ and thus is not suitable for…

机器学习 · 计算机科学 2013-07-02 Nguyen Lu Dang Khoa , Sanjay Chawla

Spectral clustering methods have gained widespread recognition for their effectiveness in clustering high-dimensional data. Among these techniques, constrained spectral clustering has emerged as a prominent approach, demonstrating enhanced…

机器学习 · 计算机科学 2024-04-05 Swarup Ranjan Behera , Vijaya V. Saradhi

Spectral Embedding (SE) has often been used to map data points from non-linear manifolds to linear subspaces for the purpose of classification and clustering. Despite significant advantages, the subspace structure of data in the original…

计算机视觉与模式识别 · 计算机科学 2023-05-16 Hira Yaseen , Arif Mahmood

We study the problem of applying spectral clustering to cluster multi-scale data, which is data whose clusters are of various sizes and densities. Traditional spectral clustering techniques discover clusters by processing a similarity…

机器学习 · 计算机科学 2020-06-09 Xiang Li , Ben Kao , Caihua Shan , Dawei Yin , Martin Ester

In the context of clustering, we assume a generative model where each cluster is the result of sampling points in the neighborhood of an embedded smooth surface; the sample may be contaminated with outliers, which are modeled as points…

机器学习 · 统计学 2011-11-30 Ery Arias-Castro , Guangliang Chen , Gilad Lerman

As we aim at alleviating the curse of high-dimensionality, subspace learning is becoming more popular. Existing approaches use either information about global or local structure of the data, and few studies simultaneously focus on global…

机器学习 · 计算机科学 2015-10-20 Nan Zhou , Yangyang Xu , Hong Cheng , Jun Fang , Witold Pedrycz

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

Spectral clustering uses a graph Laplacian spectral embedding to enhance the cluster structure of some data sets. When the embedding is one dimensional, it can be used to sort the items (spectral ordering). A number of empirical results…

数据结构与算法 · 计算机科学 2018-07-20 Antoine Recanati , Thomas Kerdreux , Alexandre d'Aspremont

Spectral clustering is a popular clustering method. It first maps data into the spectral embedding space and then uses Kmeans to find clusters. However, the two decoupled steps prohibit joint optimization for the optimal solution. In…

机器学习 · 计算机科学 2024-12-17 Wengang Guo , Wei Ye

Spatial clustering has been widely used for spatial data mining and knowledge discovery. An ideal multivariate spatial clustering should consider both spatial contiguity and aspatial attributes. Existing spatial clustering approaches may…

机器学习 · 计算机科学 2022-04-01 Yuhao Kang , Kunlin Wu , Song Gao , Ignavier Ng , Jinmeng Rao , Shan Ye , Fan Zhang , Teng Fei

Spectral clustering is a widely used algorithm to find clusters in networks. Several researchers have studied the stability of spectral clustering under local differential privacy with the additional assumption that the underlying networks…

密码学与安全 · 计算机科学 2025-05-15 Sayan Mukherjee , Vorapong Suppakitpaisarn

Subspace sparse coding (SSC) algorithms have proven to be beneficial to clustering problems. They provide an alternative data representation in which the underlying structure of the clusters can be better captured. However, most of the…

机器学习 · 计算机科学 2019-03-14 Babak Hosseini , Barbara Hammer

We present a method for balancing between the Local and Global Structures (LGS) in graph embedding, via a tunable parameter. Some embedding methods aim to capture global structures, while others attempt to preserve local neighborhoods. Few…

人机交互 · 计算机科学 2023-09-06 Jacob Miller , Vahan Huroyan , Stephen Kobourov

Spectral clustering has gained importance in recent years due to its ability to cluster complex data as it requires only pairwise similarity among data points with its ease of implementation. The central point in spectral clustering is the…

计算机视觉与模式识别 · 计算机科学 2017-04-11 Lalith Srikanth Chintalapati , Raghunatha Sarma Rachakonda

Clustering high-dimensional data is a critical challenge in machine learning due to the curse of dimensionality and the presence of noise. Traditional clustering algorithms often fail to capture the intrinsic structures in such data. This…

机器学习 · 计算机科学 2025-03-21 Joanikij Chulev , Angela Mladenovska

Cluster structure detection is a fundamental task for the analysis of graphs, in order to understand and to visualize their functional characteristics. Among the different cluster structure detection methods, spectral clustering is…

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

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