中文
相关论文

相关论文: Clustering to Maximize the Ratio of Split to Diame…

200 篇论文

Graph clustering is the problem of identifying sparsely connected dense subgraphs (clusters) in a given graph. Proposed clustering algorithms usually optimize various fitness functions that measure the quality of a cluster within the graph.…

计算复杂性 · 计算机科学 2007-05-23 Jiri Sima , Satu Elisa Schaeffer

Partitioning and grouping of similar objects plays a fundamental role in image segmentation and in clustering problems. In such problems a typical goal is to group together similar objects, or pixels in the case of image processing. At the…

计算机视觉与模式识别 · 计算机科学 2010-10-12 Dorit S. Hochbaum

Correlation clustering is a fundamental combinatorial optimization problem arising in many contexts and applications that has been the subject of dozens of papers in the literature. In this problem we are given a general weighted graph…

数据结构与算法 · 计算机科学 2019-07-02 Saba Ahmadi , Sainyam Galhotra , Samir Khuller , Barna Saha , Roy Schwartz

The problem of estimating the number of clusters (say k) is one of the major challenges for the partitional clustering. This paper proposes an algorithm named k-SCC to estimate the optimal k in categorical data clustering. For the…

机器学习 · 计算机科学 2025-01-28 Duy-Tai Dinh , Tsutomu Fujinami , Van-Nam Huynh

The paper presents the algorithm for clustering a dataset by grouping the optimal, from the point of view of the BIC criterion, number of Gaussian clusters into the optimal, from the point of view of their statistical separability,…

机器学习 · 计算机科学 2023-10-31 Oleg I. Berngardt

In this paper, I will introduce a fast and novel clustering algorithm based on Gaussian distribution and it can guarantee the separation of each cluster centroid as a given parameter, $d_s$. The worst run time complexity of this algorithm…

数据库 · 计算机科学 2019-10-22 Yuan-Yen Tai

We study parallel algorithms for correlation clustering. Each pair among $n$ objects is labeled as either "similar" or "dissimilar". The goal is to partition the objects into arbitrarily many clusters while minimizing the number of…

数据结构与算法 · 计算机科学 2022-05-10 Soheil Behnezhad , Moses Charikar , Weiyun Ma , Li-Yang Tan

Bipartite Correlation clustering is the problem of generating a set of disjoint bi-cliques on a set of nodes while minimizing the symmetric difference to a bipartite input graph. The number or size of the output clusters is not constrained…

数据结构与算法 · 计算机科学 2010-12-15 Nir Ailon , Noa Avigdor-Elgrabli , Edo Liberty

We study the problem of partitioning a set of $n$ objects in a metric space into $k$ clusters $V_1,\dots,V_k$. The quality of the clustering is measured by considering the vector of cluster costs and then minimizing some monotone symmetric…

数据结构与算法 · 计算机科学 2025-01-10 Matthias Kaul , Kelin Luo , Matthias Mnich , Heiko Röglin

This paper explores hierarchical clustering in the case where pairs of points have dissimilarity scores (e.g. distances) as a part of the input. The recently introduced objective for points with dissimilarity scores results in every tree…

机器学习 · 计算机科学 2020-09-01 Benjamin Moseley , Yuyan Wang

Clustering large, mixed data is a central problem in data mining. Many approaches adopt the idea of k-means, and hence are sensitive to initialisation, detect only spherical clusters, and require a priori the unknown number of clusters. We…

机器学习 · 统计学 2020-11-13 Joshua Tobin , Mimi Zhang

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…

机器学习 · 计算机科学 2025-10-16 Marek Gagolewski

Clustering is one of the most fundamental problems in data analysis and it has been studied extensively in the literature. Though many clustering algorithms have been proposed, clustering theories that justify the use of these clustering…

机器学习 · 计算机科学 2016-02-22 Cheng-Shang Chang , Wanjiun Liao , Yu-Sheng Chen , Li-Heng Liou

Clustering is a separation of data into groups of similar objects. Every group called cluster consists of objects that are similar to one another and dissimilar to objects of other groups. In this paper, the K-Means algorithm is implemented…

机器学习 · 计算机科学 2013-04-03 P. Ashok , G. M Kadhar Nawaz , E. Elayaraja , V. Vadivel

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

We initiate the study of the following general clustering problem. We seek to partition a given set $P$ of data points into $k$ clusters by finding a set $X$ of $k$ centers and assigning each data point to one of the centers. The cost of a…

数据结构与算法 · 计算机科学 2024-11-01 Martin G. Herold , Evangelos Kipouridis , Joachim Spoerhase

Cluster deletion is an NP-hard graph clustering objective with applications in computational biology and social network analysis, where the goal is to delete a minimum number of edges to partition a graph into cliques. We first provide a…

数据结构与算法 · 计算机科学 2024-04-26 Vicente Balmaseda , Ying Xu , Yixin Cao , Nate Veldt

We develop a new density-based clustering algorithm named CRAD which is based on a new neighbor searching function with a robust data depth as the dissimilarity measure. Our experiments prove that the new CRAD is highly competitive at…

统计计算 · 统计学 2019-04-09 Xin Huang , Yulia R. Gel

We introduce the aggregated clustering problem, where one is given $T$ instances of a center-based clustering task over the same $n$ points, but under different metrics. The goal is to open $k$ centers to minimize an aggregate of the…

数据结构与算法 · 计算机科学 2025-10-10 Deeparnab Chakrabarty , Jonathan Conroy , Ankita Sarkar

An impurity measures $I:{R}^k \to {R}^+$ maps a $k$-dimensional vector ${\bf v}$ to a non-negative value $I({\bf v})$ so that the more homogeneous ${\bf v}$, the larger its impurity. We study clustering based on impurity measures: given a…

数据结构与算法 · 计算机科学 2018-07-17 Ferdinando Cicalese , Eduardo Laber