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We present an approach to clustering time series data using a model-based generalization of the K-Means algorithm which we call K-Models. We prove the convergence of this general algorithm and relate it to the hard-EM algorithm for mixture…

Methodology · Statistics 2022-07-04 Derek O. Hoare , David S. Matteson , Martin T. Wells

Clustering algorithms have regained momentum with recent popularity of data mining and knowledge discovery approaches. To obtain good clustering in reasonable amount of time, various meta-heuristic approaches and their hybridization,…

Machine Learning · Computer Science 2019-01-29 Arjun Pakrashi , Bidyut B. Chaudhuri

Optimizing portfolio performance is a fundamental challenge in financial modeling, requiring the integration of advanced clustering techniques and data-driven optimization strategies. This paper introduces a comparative backtesting approach…

Machine Learning · Computer Science 2025-01-23 Keon Vin Park

Clustering of mobile ad hoc networks is a largely growing field. The perceived benefits of clustering are comprehensively analyzed in open literature. This paper considers the development of a new connected-dominated-set clustering…

Networking and Internet Architecture · Computer Science 2013-09-18 Ayman M. Bahaa-Eldin , Dina S. M. Hassan , Hossam M. A. Fahmy

In this article, we develop a clique-based method for social network clustering. We introduce a new index to evaluate the quality of clustering results, and propose an efficient algorithm based on recursive bipartition to maximize an…

Social and Information Networks · Computer Science 2018-05-11 Guang Ouyang , Dipak K. Dey , Panpan Zhang

Supervised classification can be effective for prediction but sometimes weak on interpretability or explainability (XAI). Clustering, on the other hand, tends to isolate categories or profiles that can be meaningful but there is no…

Machine Learning · Computer Science 2021-04-27 Vincent Lemaire , Oumaima Alaoui Ismaili , Antoine Cornuéjols , Dominique Gay

Clustering is an unsupervised learning method that constitutes a cornerstone of an intelligent data analysis process. It is used for the exploration of inter-relationships among a collection of patterns, by organizing them into homogeneous…

Machine Learning · Computer Science 2010-04-13 G. Nathiya , S. C. Punitha , M. Punithavalli

K-Means clustering still plays an important role in many computer vision problems. While the conventional Lloyd method, which alternates between centroid update and cluster assignment, is primarily used in practice, it may converge to a…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Huu Le , Anders Eriksson , Thanh-Toan Do , Michael Milford

For regular particle filter algorithm or Sequential Monte Carlo (SMC) methods, the initial weights are traditionally dependent on the proposed distribution, the posterior distribution at the current timestamp in the sampled sequence, and…

Machine Learning · Statistics 2015-11-16 Kai Fan , Katherine Heller

Retrieval Augmented Generation (RAG) is a common method for integrating external knowledge into pretrained Large Language Models (LLMs) to enhance accuracy and relevancy in question answering (QA) tasks. However, prompt engineering and…

Computation and Language · Computer Science 2024-10-18 Isaac Chung , Phat Vo , Arman C. Kizilkale , Aaron Reite

Recent work has proposed solving the k-means clustering problem on quantum computers via the Quantum Approximate Optimization Algorithm (QAOA) and coreset techniques. Although the current method demonstrates the possibility of quantum…

Quantum Physics · Physics 2024-06-25 Canaan Yung , Muhammad Usman

This paper presents a comparative analysis of different optimization techniques for the K-means algorithm in the context of big data. K-means is a widely used clustering algorithm, but it can suffer from scalability issues when dealing with…

Machine Learning · Computer Science 2024-05-21 Ravil Mussabayev , Rustam Mussabayev

This paper presents a novel method for clustering surfaces. The proposal involves first using basis functions in a tensor product to smooth the data and thus reduce the dimension to a finite number of coefficients, and then using these…

Methodology · Statistics 2021-02-04 Adriano Zanin Zambom , Qing Wang , Ronaldo Dias

$K$-means, a simple and effective clustering algorithm, is one of the most widely used algorithms in multimedia and computer vision community. Traditional $k$-means is an iterative algorithm---in each iteration new cluster centers are…

Computer Vision and Pattern Recognition · Computer Science 2013-12-12 Jingdong Wang , Jing Wang , Qifa Ke , Gang Zeng , Shipeng Li

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…

Machine Learning · Statistics 2020-11-13 Joshua Tobin , Mimi Zhang

Clustering is an effective technique in data mining to generate groups that are the matter of interest. Among various clustering approaches, the family of k-means algorithms and min-cut algorithms gain most popularity due to their…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang

K-means is an effective clustering technique used to separate similar data into groups based on initial centroids of clusters. In this paper, Normalization based K-means clustering algorithm(N-K means) is proposed. Proposed N-K means…

Machine Learning · Computer Science 2015-03-04 Deepali Virmani , Shweta Taneja , Geetika Malhotra

This paper investigates the computational and statistical limits in clustering matrix-valued observations. We propose a low-rank mixture model (LrMM), adapted from the classical Gaussian mixture model (GMM) to treat matrix-valued…

Statistics Theory · Mathematics 2023-06-08 Zhongyuan Lyu , Dong Xia

Clustering is a widely used and powerful machine learning technique, but its effectiveness is often limited by the need to specify the number of clusters, k, or by relying on thresholds that implicitly determine k. We introduce k*-means, a…

Machine Learning · Computer Science 2025-05-20 Louis Mahon , Mirella Lapata

Despite the remarkable progress of Large Language Models (LLMs), their performance in question answering (QA) remains limited by the lack of domain-specific and up-to-date knowledge. Retrieval-Augmented Generation (RAG) addresses this…

Information Retrieval · Computer Science 2025-09-17 Yaodong Su , Yixiang Fang , Yingli Zhou , Quanqing Xu , Chuanhui Yang
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