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Conventional clustering methods based on pairwise affinity usually suffer from the concentration effect while processing huge dimensional features yet low sample sizes data, resulting in inaccuracy to encode the sample proximity and…

机器学习 · 计算机科学 2023-02-06 Hongmin Cai , Fei Qi , Junyu Li , Yu Hu , Yue Zhang , Yiu-ming Cheung , Bin Hu

The goal of clustering is to group similar objects into meaningful partitions. This process is well understood when an explicit similarity measure between the objects is given. However, far less is known when this information is not readily…

机器学习 · 计算机科学 2020-10-12 Michaël Perrot , Pascal Mattia Esser , Debarghya Ghoshdastidar

Complex systems are usually represented as an intricate set of relations between their components forming a complex graph or network. The understanding of their functioning and emergent properties are strongly related to their structural…

数据分析、统计与概率 · 物理学 2014-01-08 Sergio Gomez , Alberto Fernandez , Clara Granell , Alex Arenas

We study anomaly clustering, grouping data into coherent clusters of anomaly types. This is different from anomaly detection that aims to divide anomalies from normal data. Unlike object-centered image clustering, anomaly clustering is…

计算机视觉与模式识别 · 计算机科学 2022-10-18 Kihyuk Sohn , Jinsung Yoon , Chun-Liang Li , Chen-Yu Lee , Tomas Pfister

Hierarchical clustering is a popular unsupervised data analysis method. For many real-world applications, we would like to exploit prior information about the data that imposes constraints on the clustering hierarchy, and is not captured by…

数据结构与算法 · 计算机科学 2018-07-17 Vaggos Chatziafratis , Rad Niazadeh , Moses Charikar

As the data size in Machine Learning fields grows exponentially, it is inevitable to accelerate the computation by utilizing the ever-growing large number of available cores provided by high-performance computing hardware. However, existing…

机器学习 · 计算机科学 2021-04-23 Kun Li , Liang Yuan , Yunquan Zhang , Gongwei Chen

We present a novel probabilistic clustering model for objects that are represented via pairwise distances and observed at different time points. The proposed method utilizes the information given by adjacent time points to find the…

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

统计理论 · 数学 2023-11-07 Tabea Rebafka

Clustering is a fundamental task in data science that aims to group data based on their similarities. However, defining similarity is often ambiguous, making it challenging to determine the most appropriate objective function for a given…

量子物理 · 物理学 2025-08-06 Myeonghwan Seong , Daniel K. Park

In this work we seek clusters of genomic words in human DNA by studying their inter-word lag distributions. Due to the particularly spiked nature of these histograms, a clustering procedure is proposed that first decomposes each…

应用统计 · 统计学 2021-01-13 Ana Helena Tavares , Jakob Raymaekers , Peter J. Rousseeuw , Paula Brito , Vera Afreixo

We consider approximating distributions within the framework of optimal mass transport and specialize to the problem of clustering data sets. Distances between distributions are measured in the Wasserstein metric. The main problem we…

系统与控制 · 计算机科学 2013-10-04 Francesca P. Carli , Lipeng Ning , Tryphon T. Georgiou

Sum-of-norms clustering is a clustering formulation based on convex optimization that automatically induces hierarchy. Multiple algorithms have been proposed to solve the optimization problem: subgradient descent by Hocking et al., ADMM and…

机器学习 · 计算机科学 2021-07-09 Tao Jiang , Stephen Vavasis

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

We introduce a novel end-to-end approach for learning to cluster in the absence of labeled examples. Our clustering objective is based on optimizing normalized cuts, a criterion which measures both intra-cluster similarity as well as…

机器学习 · 计算机科学 2019-10-18 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

We propose a hierarchical correlation clustering method that extends the well-known correlation clustering to produce hierarchical clusters applicable to both positive and negative pairwise dissimilarities. Then, in the following, we study…

机器学习 · 计算机科学 2025-02-04 Morteza Haghir Chehreghani , Mostafa Haghir Chehreghani

Identifying high-dimensional data patterns without a priori knowledge is an important task of data science. This paper proposes a simple and efficient noparametric algorithm: Data Convert to Sequence Analysis, DCSA, which dynamically…

机器学习 · 计算机科学 2022-12-05 Shi Guobin

Document clustering as an unsupervised approach extensively used to navigate, filter, summarize and manage large collection of document repositories like the World Wide Web (WWW). Recently, focuses in this domain shifted from traditional…

信息检索 · 计算机科学 2012-01-11 Muhammad Rafi , M. Maujood , M. M. Fazal , S. M. Ali

Clustering is one of the most universal approaches for understanding complex data. A pivotal aspect of clustering analysis is quantitatively comparing clusterings; clustering comparison is the basis for many tasks such as clustering…

机器学习 · 统计学 2019-06-13 Alexander J. Gates , Ian B. Wood , William P. Hetrick , Yong-Yeol Ahn

High-dimensional clustering often relies on geometric or local-similarity structure, but the dominant separation between groups may not always be location-based. Differences in dispersion can create asymmetric local-neighborhood patterns:…

统计方法学 · 统计学 2026-05-15 Hao Chen , Xiancheng Lin

In an age of increasingly large data sets, investigators in many different disciplines have turned to clustering as a tool for data analysis and exploration. Existing clustering methods, however, typically depend on several nontrivial…

定量方法 · 定量生物学 2009-11-11 Noam Slonim , Gurinder Singh Atwal , Gasper Tkacik , William Bialek