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A new cluster validity index is proposed for fuzzy clusters obtained from fuzzy c-means algorithm. The proposed validity index exploits inter-cluster proximity between fuzzy clusters. Inter-cluster proximity is used to measure the degree of…

Artificial Intelligence · Computer Science 2024-07-10 Dae-Won Kim , Kwang H. Lee

Sum-of-norms clustering is a clustering formulation based on convex optimization that automatically induces hierarchy. Multiple algorithms have been proposed to solve the optimization problem: subgradient descent by Hocking et al., ADMM and…

Machine Learning · Computer Science 2021-07-09 Tao Jiang , Stephen Vavasis

The paper focuses on mining patterns that are characterized by a fuzzy lagged relationship between the data objects forming them. Such a regulatory mechanism is quite common in real life settings. It appears in a variety of fields: finance,…

Artificial Intelligence · Computer Science 2014-05-16 Eran Shaham , David Sarne , Boaz Ben-Moshe

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…

Machine Learning · Computer Science 2024-04-19 Lulu Ge , Keshab K. Parhi

Soft Clustering plays a very important rule on clustering real world data where a data item contributes to more than one cluster. Fuzzy logic based algorithms are always suitable for performing soft clustering tasks. Fuzzy C Means (FCM)…

Computer Vision and Pattern Recognition · Computer Science 2014-06-17 Dibya Jyoti Bora , Anil Kumar Gupta

Deep clustering outperforms conventional clustering by mutually promoting representation learning and cluster assignment. However, most existing deep clustering methods suffer from two major drawbacks. First, most cluster assignment methods…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Hanxuan Wang , Na Lu , Qinyang Liu

Median clustering is of great value for partitioning relational data. In this paper, a new prototype-based clustering method, called Median Evidential C-Means (MECM), which is an extension of median c-means and median fuzzy c-means on the…

Artificial Intelligence · Computer Science 2015-01-08 Kuang Zhou , Arnaud Martin , Quan Pan , Zhun-Ga Liu

Clustering is a fundamental task in unsupervised learning, but most existing methods heavily rely on hyperparameters such as the number of clusters or other sensitive settings, limiting their applicability in real-world scenarios. To…

Machine Learning · Computer Science 2026-03-25 Lijun Zhang , Suyuan Liu , Siwei Wang , Shengju Yu , Xueling Zhu , Miaomiao Li , Xinwang Liu

Clustered Federated Multitask Learning (CFL) has gained considerable attention as an effective strategy for overcoming statistical challenges, particularly when dealing with non independent and identically distributed (non IID) data across…

Networking and Internet Architecture · Computer Science 2024-01-22 Moqbel Hamood , Abdullatif Albaseer , Mohamed Abdallah , Ala Al-Fuqaha

We propose the convex factorization machine (CFM), which is a convex variant of the widely used Factorization Machines (FMs). Specifically, we employ a linear+quadratic model and regularize the linear term with the $\ell_2$-regularizer and…

Convex clustering has recently garnered increasing interest due to its attractive theoretical and computational properties, but its merits become limited in the face of high-dimensional data. In such settings, pairwise affinity terms that…

Methodology · Statistics 2021-04-02 Saptarshi Chakraborty , Jason Xu

Threshold-free cluster enhancement (TFCE) is widely used for cluster-based inference in neuroimaging, but existing implementations typically rely on discretized approximations that may introduce numerical variability. We present eTFCE, an…

Methodology · Statistics 2026-04-28 Xu Chen , Wouter D. Weeda , Thomas E. Nichols , Jelle J. Goeman

This paper proposes a simple, automatic and efficient clustering algorithm, namely, Automatic Merging for Optimal Clusters (AMOC) which aims to generate nearly optimal clusters for the given datasets automatically. The AMOC is an extension…

Computer Vision and Pattern Recognition · Computer Science 2011-09-07 K. Karteeka Pavan , Allam Appa Rao , A. V. Dattatreya Rao

Federated Learning (FL) presents an innovative approach to privacy-preserving distributed machine learning and enables efficient crowd intelligence on a large scale. However, a significant challenge arises when coordinating FL with crowd…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Yuhao Zhou , Minjia Shi , Yuxin Tian , Yuanxi Li , Qing Ye , Jiancheng Lv

Fingerprint recognition techniques are immensely dependent on quality of the fingerprint images. To improve the performance of recognition algorithm for poor quality images an efficient enhancement algorithm should be designed. Performance…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Ram Prakash Sharma , Somnath Dey

We study a variant of classical clustering formulations in the context of algorithmic fairness, known as diversity-aware clustering. In this variant we are given a collection of facility subsets, and a solution must contain at least a…

Data Structures and Algorithms · Computer Science 2022-10-25 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Michal Osadnik

The fuzzy $K$-means problem is a generalization of the classical $K$-means problem to soft clusterings, i.e. clusterings where each points belongs to each cluster to some degree. Although popular in practice, prior to this work the fuzzy…

Machine Learning · Computer Science 2015-12-21 Johannes Blömer , Sascha Brauer , Kathrin Bujna

Floating centroid method (FCM) offers an efficient way to solve a fixed-centroid problem for the neural network classifiers. However, evolutionary computation as its optimization method restrains the FCM to achieve satisfactory performance…

Neural and Evolutionary Computing · Computer Science 2021-06-01 Mazharul Islam , Shuangrong Liu , Lin Wang , Xiaojing Zhang

This paper presents a novel centroid-based heuristic algorithm, termed Kempe Swap K-Means, for constrained clustering under rigid must-link (ML) and cannot-link (CL) constraints. The algorithm employs a dual-phase iterative process: an…

Machine Learning · Computer Science 2026-03-31 Yuxuan Ren , Shijie Deng

This paper presents an algorithm to solve the Soft k-Means problem globally. Unlike Fuzzy c-Means, Soft k-Means (SkM) has a matrix factorization-type objective and has been shown to have a close relation with the popular probability…

Machine Learning · Computer Science 2022-12-08 Feiping Nie , Hong Chen , Rong Wang , Xuelong Li
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