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We present a technique for clustering categorical data by generating many dissimilarity matrices and averaging over them. We begin by demonstrating our technique on low dimensional categorical data and comparing it to several other…

机器学习 · 统计学 2017-09-20 Saeid Amiri , Bertrand Clarke , Jennifer Clarke

We propose some axioms for hierarchical clustering of probability measures and investigate their ramifications. The basic idea is to let the user stipulate the clusters for some elementary measures. This is done without the need of any…

机器学习 · 统计学 2016-05-24 Philipp Thomann , Ingo Steinwart , Nico Schmid

Motivated by applications in social and biological network analysis, we introduce a new form of agnostic clustering termed~\emph{motif correlation clustering}, which aims to minimize the cost of clustering errors associated with both edges…

数据结构与算法 · 计算机科学 2018-11-07 Pan Li , Gregory J. Puleo , Olgica Milenkovic

Most community detection approaches make very strong assumptions about communities in the data, such as every vertex must belong to exactly one community (the communities form a partition). For vector data, Hierarchical Density Based…

社会与信息网络 · 计算机科学 2025-09-03 Ryan DeWolfe

Hierarchical clustering is one of the most powerful solutions to the problem of clustering, on the grounds that it performs a multi scale organization of the data. In recent years, research on hierarchical clustering methods has attracted…

机器学习 · 计算机科学 2019-08-02 Antonia Korba

We consider a generalized version of the correlation clustering problem, defined as follows. Given a complete graph $G$ whose edges are labeled with $+$ or $-$, we wish to partition the graph into clusters while trying to avoid errors: $+$…

数据结构与算法 · 计算机科学 2016-05-25 Gregory J. Puleo , Olgica Milenkovic

Ashtiani et al. (NIPS 2016) introduced a semi-supervised framework for clustering (SSAC) where a learner is allowed to make same-cluster queries. More specifically, in their model, there is a query oracle that answers queries of the form…

数据结构与算法 · 计算机科学 2017-12-20 Nir Ailon , Anup Bhattacharya , Ragesh Jaiswal

Classification and clustering have been studied separately in machine learning and computer vision. Inspired by the recent success of deep learning models in solving various vision problems (e.g., object recognition, semantic segmentation)…

机器学习 · 计算机科学 2017-12-13 Ali Borji , Aysegul Dundar

Visual grouping is a key mechanism in human scene perception. There, it belongs to the subconscious, early processing and is key prerequisite for other high level tasks such as recognition. In this paper, we introduce an efficient, realtime…

计算机视觉与模式识别 · 计算机科学 2016-09-23 Dominik Alexander Klein , Dirk Schulz , Armin Bernd Cremers

In this paper we offer a new perspective on the well established agglomerative clustering algorithm, focusing on recovery of hierarchical structure. We recommend a simple variant of the standard algorithm, in which clusters are merged by…

机器学习 · 统计学 2024-03-04 Annie Gray , Alexander Modell , Patrick Rubin-Delanchy , Nick Whiteley

We introduce TeraHAC, a $(1+\epsilon)$-approximate hierarchical agglomerative clustering (HAC) algorithm which scales to trillion-edge graphs. Our algorithm is based on a new approach to computing $(1+\epsilon)$-approximate HAC, which is a…

数据结构与算法 · 计算机科学 2024-06-12 Laxman Dhulipala , Jason Lee , Jakub Łącki , Vahab Mirrokni

Cut-based directed graph (digraph) clustering often focuses on finding dense within-cluster or sparse between-cluster connections, similar to cut-based undirected graph clustering methods. In contrast, for flow-based clusterings the edges…

机器学习 · 计算机科学 2022-03-04 Koby Hayashi , Sinan G. Aksoy , Haesun Park

A comparison between neural network clustering (NNC), hierarchical clustering (HC) and K-means clustering (KMC) is performed to evaluate the computational superiority of these three machine learning (ML) techniques for organizing large…

光学 · 物理学 2025-06-30 Graciana Puentes

Affinity propagation is an exemplar-based clustering algorithm that finds a set of data-points that best exemplify the data, and associates each datapoint with one exemplar. We extend affinity propagation in a principled way to solve the…

机器学习 · 计算机科学 2012-02-20 Inmar Givoni , Clement Chung , Brendan J. Frey

This paper addresses the clustering of data in the hyperdimensional computing (HDC) domain. In prior work, an HDC-based clustering framework, referred to as HDCluster, has been proposed. However, the performance of the existing HDCluster is…

机器学习 · 计算机科学 2024-04-19 Lulu Ge , Keshab K. Parhi

Data similarity (or distance) computation is a fundamental research topic which fosters a variety of similarity-based machine learning and data mining applications. In big data analytics, it is impractical to compute the exact similarity of…

数据结构与算法 · 计算机科学 2025-03-12 Wei Wu , Bin Li

Identifying meaningful structure across multiple scales remains a central challenge in network science. We introduce Hierarchical Clustering Entropy (HCE), a general and model-agnostic framework for detecting informative levels in…

社会与信息网络 · 计算机科学 2025-08-07 Jorge Martinez Armas

For a density $f$ on ${\mathbb R}^d$, a {\it high-density cluster} is any connected component of $\{x: f(x) \geq \lambda\}$, for some $\lambda > 0$. The set of all high-density clusters forms a hierarchy called the {\it cluster tree} of…

机器学习 · 统计学 2014-06-09 Kamalika Chaudhuri , Sanjoy Dasgupta , Samory Kpotufe , Ulrike von Luxburg

Correlation clustering seeks a partition of the vertex set of a given graph/network into groups of closely related, or just close enough, vertices so that elements of different groups are not close to each other. The problem has been…

社会与信息网络 · 计算机科学 2024-12-05 Faisal N. Abu-Khzam , Lucas Isenmann , Sergio Thoumi

Clustering and visualizing high-dimensional (HD) data are important tasks in a variety of fields. For example, in bioinformatics, they are crucial for analyses of single-cell data such as mass cytometry (CyTOF) data. Some of the most…

定量方法 · 定量生物学 2021-07-19 Joshua M. Scurll