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In metric $k$-clustering, we are given as input a set of $n$ points in a general metric space, and we have to pick $k$ centers and cluster the input points around these chosen centers, so as to minimize an appropriate objective function. In…

Data Structures and Algorithms · Computer Science 2024-11-06 Sayan Bhattacharya , Martín Costa , Ermiya Farokhnejad

Single-linkage clustering is a popular form of hierarchical agglomerative clustering (HAC) where the distance between two clusters is defined as the minimum distance between any pair of points across the two clusters. In single-linkage HAC,…

Data Structures and Algorithms · Computer Science 2025-06-24 Quinten De Man , Laxman Dhulipala , Kishen N Gowda

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

Multi-view clustering aims to study the complementary information across views and discover the underlying structure. For solving the relatively high computational cost for the existing approaches, works based on anchor have been presented…

Machine Learning · Computer Science 2024-09-26 Yalan Qin , Nan Pu , Hanzhou Wu , Nicu Sebe

Simultaneous clustering and optimization (SCO) has recently drawn much attention due to its wide range of practical applications. Many methods have been previously proposed to solve this problem and obtain the optimal model. However, when a…

Machine Learning · Computer Science 2019-08-06 Yawei Zhao , En Zhu , Xinwang Liu , Chang Tang , Deke Guo , Jianping Yin

Graph clustering is a fundamental task in network analysis where the goal is to detect sets of nodes that are well-connected to each other but sparsely connected to the rest of the graph. We present faster approximation algorithms for an…

Data Structures and Algorithms · Computer Science 2023-06-09 Vedangi Bengali , Nate Veldt

Image clustering is an important and open-challenging task in computer vision. Although many methods have been proposed to solve the image clustering task, they only explore images and uncover clusters according to the image features, thus…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Shaotian Cai , Liping Qiu , Xiaojun Chen , Qin Zhang , Longteng Chen

Most of existing correlation filter-based tracking approaches only estimate simple axis-aligned bounding boxes, and very few of them is capable of recovering the underlying similarity transformation. To tackle this challenging problem, in…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Yang Li , Jianke Zhu , Steven C. H. Hoi , Wenjie Song , Zhefeng Wang , Hantang Liu

In this paper, we provide a novel perspective on the underlying structure of real-world data with ground-truth clusters via characterization of an abundantly observed yet often overlooked density-geometry correlation, that manifests itself…

Machine Learning · Computer Science 2025-12-04 Chandra Sekhar Mukherjee , Joonyoung Bae , Jiapeng Zhang

Metric clustering is fundamental in areas ranging from Combinatorial Optimization and Data Mining, to Machine Learning and Operations Research. However, in a variety of situations we may have additional requirements or knowledge, distinct…

Machine Learning · Computer Science 2021-03-04 Brian Brubach , Darshan Chakrabarti , John P. Dickerson , Aravind Srinivasan , Leonidas Tsepenekas

In this paper, we investigate combining blocking and collapsing -- two widely used strategies for improving the accuracy of Gibbs sampling -- in the context of probabilistic graphical models (PGMs). We show that combining them is not…

Artificial Intelligence · Computer Science 2013-09-27 Deepak Venugopal , Vibhav Gogate

There is no, nor will there ever be, single best clustering algorithm. Nevertheless, we would still like to be able to distinguish between methods that work well on certain task types and those that systematically underperform. Clustering…

Machine Learning · Computer Science 2025-10-16 Marek Gagolewski

In the resource management of wireless networks, Federated Learning has been used to predict handovers. However, non-independent and identically distributed data degrade the accuracy performance of such predictions. To overcome the problem,…

The primary goal in cluster analysis is to discover natural groupings of objects. The field of cluster analysis is crowded with diverse methods that make special assumptions about data and address different scientific aims. Despite its…

Genomics · Quantitative Biology 2018-06-07 Gary K. Chen , Eric Chi , John Ranola , Kenneth Lange

The Pandora's Box problem and its extensions capture optimization problems with stochastic input where the algorithm can obtain instantiations of input random variables at some cost. To our knowledge, all previous work on this class of…

Data Structures and Algorithms · Computer Science 2020-04-17 Shuchi Chawla , Evangelia Gergatsouli , Yifeng Teng , Christos Tzamos , Ruimin Zhang

Many problems reduce to the fixed-point problem of solving $x=T(x)$. To this problem, we apply the coordinate-update algorithms, which update only one or a few components of $x$ at each step. When each update is cheap, these algorithms are…

Optimization and Control · Mathematics 2017-03-06 Yat Tin Chow , Tianyu Wu , Wotao Yin

With the aggressive scaling of VLSI technology, the explosion of layout patterns creates a critical bottleneck for DFM applications like OPC. Pattern clustering is essential to reduce data complexity, yet existing methods struggle with…

Hardware Architecture · Computer Science 2025-12-16 Shuo Liu

Previous contrastive deep clustering methods mostly focus on instance-level information while overlooking the member relationship within groups/clusters, which may significantly undermine their representation learning and clustering…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Haixin Zhang , Dong Huang

Image segmentation has come a long way since the early days of computer vision, and still remains a challenging task. Modern variations of the classical (purely bottom-up) approach, involve, e.g., some form of user assistance (interactive…

Computer Vision and Pattern Recognition · Computer Science 2017-07-19 Eyasu Zemene , Leulseged Tesfaye Alemu , Marcello Pelillo

In this paper, we introduce Adaptive Cluster Lasso(ACL) method for variable selection in high dimensional sparse regression models with strongly correlated variables. To handle correlated variables, the concept of clustering or grouping…

Machine Learning · Statistics 2016-03-14 Niharika Gauraha , Swapan K. Parui
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