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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

Hypergraph partitioning is an important problem in machine learning, computer vision and network analytics. A widely used method for hypergraph partitioning relies on minimizing a normalized sum of the costs of partitioning hyperedges…

机器学习 · 计算机科学 2017-11-06 Pan Li , Olgica Milenkovic

This paper characterizes hierarchical clustering methods that abide by two previously introduced axioms -- thus, denominated admissible methods -- and proposes tractable algorithms for their implementation. We leverage the fact that, for…

机器学习 · 计算机科学 2016-07-22 Gunnar Carlsson , Facundo Mémoli , Alejandro Ribeiro , Santiago Segarra

Multi-view clustering (MVC) is a popular technique for improving clustering performance using various data sources. However, existing methods primarily focus on acquiring consistent information while often neglecting the issue of redundancy…

机器学习 · 计算机科学 2023-09-26 Chenhang Cui , Yazhou Ren , Jingyu Pu , Jiawei Li , Xiaorong Pu , Tianyi Wu , Yutao Shi , Lifang He

This paper considers a network of sensors without fusion center that may be difficult to set up in applications involving sensors embedded on autonomous drones or robots. In this context, this paper considers that the sensors must perform a…

统计理论 · 数学 2017-06-13 Dominique Pastor , Elsa Dupraz , François-Xavier Socheleau

Direct multi-task twin support vector machine (DMTSVM) explores the shared information between multiple correlated tasks, then it produces better generalization performance. However, it contains matrix inversion operation when solving the…

机器学习 · 计算机科学 2022-04-08 Zongmin Liu , Yitian Xu

This paper studies the primal-dual convergence and iteration-complexity of proximal bundle methods for solving nonsmooth problems with convex structures. More specifically, we develop a family of primal-dual proximal bundle methods for…

最优化与控制 · 数学 2025-09-26 Jiaming Liang

Convex clustering is a convex relaxation of the $k$-means and hierarchical clustering. It involves solving a convex optimization problem with the objective function being a squared error loss plus a fusion penalty that encourages the…

统计方法学 · 统计学 2024-10-10 Qiang Sun , Archer Gong Zhang , Chenyu Liu , Kean Ming Tan

For better clustering performance, appropriate representations are critical. Although many neural network-based metric learning methods have been proposed, they do not directly train neural networks to improve clustering performance. We…

机器学习 · 统计学 2021-03-02 Tomoharu Iwata

Reformulating computer vision problems over Riemannian manifolds has demonstrated superior performance in various computer vision applications. This is because visual data often forms a special structure lying on a lower dimensional space…

计算机视觉与模式识别 · 计算机科学 2015-09-21 Kun Zhao , Azadeh Alavi , Arnold Wiliem , Brian C. Lovell

Multi-view clustering has been widely used in recent years in comparison to single-view clustering, for clear reasons, as it offers more insights into the data, which has brought with it some challenges, such as how to combine these views…

机器学习 · 计算机科学 2025-11-25 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

Recent work on deep clustering has found new promising methods also for constrained clustering problems. Their typically pairwise constraints often can be used to guide the partitioning of the data. Many problems however, feature…

机器学习 · 计算机科学 2023-05-22 Jonas K. Falkner , Lars Schmidt-Thieme

On Efficient and Scalable Computation of the Nonparametric Maximum Likelihood Estimator in Mixture ModelsTwin support vector machine (TSVM) is an emerging machine learning model with versatile applicability in classification and regression…

机器学习 · 计算机科学 2025-07-14 A. Quadir , M. Sajid , M. Tanveer

Clustering procedures suitable for the analysis of very high-dimensional data are needed for many modern data sets. In model-based clustering, a method called high-dimensional data clustering (HDDC) uses a family of Gaussian mixture models…

统计方法学 · 统计学 2017-06-28 Angelina Pesevski , Brian C. Franczak , Paul D. McNicholas

Multi-view clustering (MVC) based on non-negative matrix factorization (NMF) and its variants have received a huge amount of attention in recent years due to their advantages in clustering interpretability. However, existing NMF-based…

机器学习 · 计算机科学 2023-03-30 Jing Li , Quanxue Gao , Qianqian Wang , Wei Xia , Xinbo Gao

In many applications of X-ray computed tomography, an unsupervised segmentation of the reconstructed 3D volumes forms an important step in the image processing chain for further investigation of the digitized object. Therefore, the goal is…

计算机视觉与模式识别 · 计算机科学 2023-03-09 Thomas Lang

In this paper, we propose a novel method for plane clustering specialized in cluttered scenes using an RGB-D camera and validate its effectiveness through robot grasping experiments. Unlike existing methods, which focus on large-scale…

机器人学 · 计算机科学 2024-03-20 Seunghyeon Lim , Youngjae Yoo , Jun Ki Lee , Byoung-Tak Zhang

We propose a general approach for distance based clustering, using the gradient of the cost function that measures clustering quality with respect to cluster assignments and cluster center positions. The approach is an iterative two step…

机器学习 · 计算机科学 2022-06-22 Aleksandar Armacki , Dragana Bajovic , Dusan Jakovetic , Soummya Kar

Clustering problems are fundamental to unsupervised learning. There is an increased emphasis on fairness in machine learning and AI; one representative notion of fairness is that no single demographic group should be over-represented among…

数据结构与算法 · 计算机科学 2024-05-14 David G. Harris , Thomas Pensyl , Aravind Srinivasan , Khoa Trinh

Co-clustering targets on grouping the samples (e.g., documents, users) and the features (e.g., words, ratings) simultaneously. It employs the dual relation and the bilateral information between the samples and features. In many realworld…

机器学习 · 计算机科学 2016-11-18 Ping Li , Jiajun Bu , Chun Chen , Zhanying He , Deng Cai