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We introduce block-tree graphs as a framework for deriving efficient algorithms on graphical models. We define block-tree graphs as a tree-structured graph where each node is a cluster of nodes such that the clusters in the graph are…

机器学习 · 统计学 2010-11-16 Divyanshu Vats , Jose M. F. Moura

How can we find a good graph clustering of a real-world network, that allows insight into its underlying structure and also potential functions? In this paper, we introduce a new graph clustering algorithm Dcut from a density point of view.…

社会与信息网络 · 计算机科学 2016-06-06 Junming Shao , Qinli Yang , Jinhu Liu , Stefan Kramer

We develop a novel algorithm, Predictive Hierarchical Clustering (PHC), for agglomerative hierarchical clustering of current procedural terminology (CPT) codes. Our predictive hierarchical clustering aims to cluster subgroups, not…

统计方法学 · 统计学 2017-08-03 Elizabeth C. Lorenzi , Stephanie L. Brown , Zhifei Sun , Katherine Heller

Tensor decomposition is a powerful tool for data analysis and has been extensively employed in the field of hyperspectral-multispectral image fusion (HMF). Existing tensor decomposition-based fusion methods typically rely on disruptive data…

计算机视觉与模式识别 · 计算机科学 2025-10-22 Linsong Shan , Zecan Yang , Laurence T. Yang , Changlong Li , Honglu Zhao , Xin Nie

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

最优化与控制 · 数学 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang

We consider the problem of decentralized clustering and estimation over multi-task networks, where agents infer and track different models of interest. The agents do not know beforehand which model is generating their own data. They also do…

最优化与控制 · 数学 2017-05-24 Sahar Khawatmi , Ali H. Sayed , Abdelhak M. Zoubir

Clustering functional data is a challenging task due to intrinsic infinite-dimensionality and the need for stable, data-adaptive partitioning. In this work, we propose a clustering framework based on Random Projections, which simultaneously…

统计方法学 · 统计学 2025-12-18 Matteo Mori , Laura Anderlucci

Spectral graph theory-based methods represent an important class of tools for studying the structure of networks. Spectral methods are based on a first-order Markov chain derived from a random walk on the graph and thus they cannot take…

社会与信息网络 · 计算机科学 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec

Hierarchical structure is ubiquitous in data across many domains. There are many hierarchical clustering methods, frequently used by domain experts, which strive to discover this structure. However, most of these methods limit discoverable…

机器学习 · 计算机科学 2012-03-19 Charles Blundell , Yee Whye Teh , Katherine A. Heller

An important subclass of hybrid Bayesian networks are those that represent Conditional Linear Gaussian (CLG) distributions --- a distribution with a multivariate Gaussian component for each instantiation of the discrete variables. In this…

人工智能 · 计算机科学 2013-01-14 Uri Lerner , Ron Parr

Approximate Bayesian Computation (ABC) is a useful class of methods for Bayesian inference when the likelihood function is computationally intractable. In practice, the basic ABC algorithm may be inefficient in the presence of discrepancy…

统计理论 · 数学 2015-05-14 Stefano Cabras , Maria Eugenia Castellanos Nueda , Erlis Ruli

Finding the reduced-dimensional structure is critical to understanding complex networks. Existing approaches such as spectral clustering are applicable only when the full network is explicitly observed. In this paper, we focus on the online…

机器学习 · 计算机科学 2017-12-13 Lin F. Yang , Vladimir Braverman , Tuo Zhao , Mengdi Wang

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

社会与信息网络 · 计算机科学 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

The emergence of massive graph data sets requires fast mining algorithms. Centrality measures to identify important vertices belong to the most popular analysis methods in graph mining. A measure that is gaining attention is forest…

数据结构与算法 · 计算机科学 2021-01-18 Alexander van der Grinten , Eugenio Angriman , Maria Predari , Henning Meyerhenke

Bayesian model-based spatial clustering methods are widely used for their flexibility in estimating latent clusters with an unknown number of clusters while accounting for spatial proximity. Many existing methods are designed for clustering…

统计方法学 · 统计学 2025-08-13 Kun Huang , Huiyan Sang

Given a network, allocating resources at clusters level, rather than at each node, enhances efficiency in resource allocation and usage. In this paper, we study the problem of finding fully connected disjoint clusters to minimize the…

机器学习 · 计算机科学 2024-02-16 Benedikt Schesch , Marco Caserta

We present new results for LambdaCC and MotifCC, two recently introduced variants of the well-studied correlation clustering problem. Both variants are motivated by applications to network analysis and community detection, and have…

计算复杂性 · 计算机科学 2018-09-26 David F. Gleich , Nate Veldt , Anthony Wirth

Clustering of proteins is of interest in cancer cell biology. This article proposes a hierarchical Bayesian model for protein (variable) clustering hinging on correlation structure. Starting from a multivariate normal likelihood, we enforce…

统计计算 · 统计学 2022-02-09 Riddhi Pratim Ghosh , Arnab Kumar Maity , Mohsen Pourahmadi , Bani K. Mallick

We study in this paper a variant of Wasserstein barycenter problem, which we refer to as tree-Wasserstein barycenter, by leveraging a specific class of ground metrics, namely tree metrics, for Wasserstein distance. Drawing on the tree…

机器学习 · 统计学 2020-02-28 Tam Le , Viet Huynh , Nhat Ho , Dinh Phung , Makoto Yamada

Hierarchical clustering is an effective, interpretable method for analyzing structure in data. It reveals insights at multiple scales without requiring a predefined number of clusters and captures nested patterns and subtle relationships,…

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