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We propose a novel SPARsity and Clustering (SPARC) regularizer, which is a modified version of the previous octagonal shrinkage and clustering algorithm for regression (OSCAR), where, the proposed regularizer consists of a $K$-sparse…

机器学习 · 计算机科学 2014-02-21 Xiangrong Zeng , Mário A. T. Figueiredo

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

机器学习 · 计算机科学 2019-01-30 Nicolas Tremblay , Andreas Loukas

Clustering analysis, a classical issue in data mining, is widely used in various research areas. This article aims at proposing a self-adaption grey DBSCAN clustering (SAG-DBSCAN) algorithm. First, the grey relational matrix is used to…

机器学习 · 计算机科学 2019-12-30 Shizhan Lu

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

Speaker diarization, the task of segmenting an audio recording based on speaker identity, constitutes an important speech pre-processing step for several downstream applications.The conventional approach to diarization involves multiple…

音频与语音处理 · 电气工程与系统科学 2024-12-03 Prachi Singh , Sriram Ganapathy

Spectral clustering requires the time-consuming decomposition of the Laplacian matrix of the similarity graph, thus limiting its applicability to large datasets. To improve the efficiency of spectral clustering, a top-down approach was…

机器学习 · 计算机科学 2024-12-19 Zhichang Xu , Zhiguo Long , Hua Meng

Majority of speech signals across different scenarios are never available with well-defined audio segments containing only a single speaker. A typical conversation between two speakers consists of segments where their voices overlap,…

音频与语音处理 · 电气工程与系统科学 2022-05-20 Siddharth S. Nijhawan , Homayoon Beigi

We present a simple spectral approach to the well-studied constrained clustering problem. It captures constrained clustering as a generalized eigenvalue problem with graph Laplacians. The algorithm works in nearly-linear time and provides…

社会与信息网络 · 计算机科学 2016-01-20 Mihai Cucuringu , Ioannis Koutis , Sanjay Chawla , Gary Miller , Richard Peng

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

Large graphs commonly appear in social networks, knowledge graphs, recommender systems, life sciences, and decision making problems. Summarizing large graphs by their high level properties is helpful in solving problems in these settings.…

机器学习 · 统计学 2022-08-01 Elise van der Pol , Ian Gemp , Yoram Bachrach , Richard Everett

Spectral clustering techniques are valuable tools in signal processing and machine learning for partitioning complex data sets. The effectiveness of spectral clustering stems from constructing a non-linear embedding based on creating a…

机器学习 · 计算机科学 2021-02-02 Farhad Pourkamali-Anaraki

The eigendeomposition of nearest-neighbor (NN) graph Laplacian matrices is the main computational bottleneck in spectral clustering. In this work, we introduce a highly-scalable, spectrum-preserving graph sparsification algorithm that…

机器学习 · 计算机科学 2018-10-12 Yongyu Wang , Zhuo Feng

Clustering is the problem of separating a set of objects into groups (called clusters) so that objects within the same cluster are more similar to each other than to those in different clusters. Spectral clustering is a now well-known…

机器学习 · 计算机科学 2012-11-16 B. Cung , T. Jin , J. Ramirez , A. Thompson , C. Boutsidis , D. Needell

This thesis presents two similarity-based approaches to sparse data problems. The first approach is to build soft, hierarchical clusters: soft, because each event belongs to each cluster with some probability; hierarchical, because cluster…

cmp-lg · 计算机科学 2008-02-03 Lillian Lee

Spectral clustering is known as a powerful technique in unsupervised data analysis. The vast majority of approaches to spectral clustering are driven by a single modality, leaving the rich information in multi-modal representations…

计算机视觉与模式识别 · 计算机科学 2026-03-17 Bo Peng , Yuanwei Hu , Bo Liu , Ling Chen , Jie Lu , Zhen Fang

We consider spectral clustering algorithms for community detection under a general bipartite stochastic block model (SBM). A modern spectral clustering algorithm consists of three steps: (1) regularization of an appropriate adjacency or…

统计理论 · 数学 2018-12-27 Zhixin Zhou , Arash A. Amini

Spectral clustering is one of the most popular clustering approaches with the capability to handle some challenging clustering problems. Most spectral clustering methods provide a nonlinear map from the data manifold to a subspace. Only a…

计算机视觉与模式识别 · 计算机科学 2016-09-13 Yaoyi Li , Junxuan Chen , Hongtao Lu

Pruning aims to reduce the number of parameters while maintaining performance close to the original network. This work proposes a novel \emph{self-distillation} based pruning strategy, whereby the representational similarity between the…

机器学习 · 计算机科学 2021-10-01 James O' Neill , Sourav Dutta , Haytham Assem

As a result of the recent popularity of social networks and the increase in the number of research papers published across all fields, attributed networks consisting of relationships between objects, such as humans and the papers, that have…

社会与信息网络 · 计算机科学 2020-10-15 Yuta Yajima , Akihiro Inokuchi

Correlation Clustering is an important clustering problem with many applications. We study the reconstruction version of this problem in which one is seeking to reconstruct a latent clustering that has been corrupted by random noise and…

数据结构与算法 · 计算机科学 2022-02-09 Flavio Chierichetti , Alessandro Panconesi , Giuseppe Re , Luca Trevisan