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The purpose of this paper is to improve the traditional K-means algorithm. In the traditional K mean clustering algorithm, the initial clustering centers are generated randomly in the data set. It is easy to fall into the local minimum…

Machine Learning · Computer Science 2018-10-11 Su Chang , Xu Zhenzong , Gao Xuan

We present methods for k-means clustering on a stream with a focus on providing fast responses to clustering queries. Compared to the current state-of-the-art, our methods provide substantial improvement in the query time for cluster…

Data Structures and Algorithms · Computer Science 2018-12-10 Yu Zhang , Kanat Tangwongsan , Srikanta Tirthapura

We consider $K$-means clustering in networked environments (e.g., internet of things (IoT) and sensor networks) where data is inherently distributed across nodes and processing power at each node may be limited. We consider a clustering…

Machine Learning · Computer Science 2019-01-03 Soummya Kar , Brian Swenson

$K$-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 algorithms are among the most widely used data mining methods due to their exploratory power and being an initial preprocessing step that paves the way for other techniques. But the problem of calculating the optimal number of…

Machine Learning · Computer Science 2023-10-03 Md Nishat Raihan

This paper investigates the application of Time Series K-means (TS-K-means) within the context of causal inference and mechanism clustering of financial time series data. Traditional clustering approaches like K-means often rely on static…

Statistical Finance · Quantitative Finance 2025-06-12 Minheng Xiao

We introduce a parsimonious model-based framework for clustering time course data. In these applications the computational burden becomes often an issue due to the number of available observations. The measured time series can also be very…

Methodology · Statistics 2015-09-03 Carmela Iorio , Gianluca Frasso , Antonio D'Ambrosio , Roberta Siciliano

This report explores the application of machine learning techniques on short timeseries gene expression data. Although standard machine learning algorithms work well on longer time-series', they often fail to find meaningful insights from…

Genomics · Quantitative Biology 2021-11-17 Akankshita Dash

Clustering is a key task in machine learning, with $k$-means being widely used for its simplicity and effectiveness. While 1D clustering is common, existing methods often fail to exploit the structure of 1D data, leading to inefficiencies.…

Data Structures and Algorithms · Computer Science 2024-12-25 Jake Hyun

In this paper, we propose a novel method of model-based time series clustering with mixtures of general state space models (MSSMs). Each component of MSSMs is associated with each cluster. An advantage of the proposed method is that it…

Machine Learning · Computer Science 2024-08-23 Ryoichi Ishizuka , Takashi Imai , Kaoru Kawamoto

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

The $k$-means algorithm is arguably the most popular nonparametric clustering method but cannot generally be applied to datasets with incomplete records. The usual practice then is to either impute missing values under an assumed…

Machine Learning · Statistics 2018-09-11 Andrew Lithio , Ranjan Maitra

Among all the partition based clustering algorithms K-means is the most popular and well known method. It generally shows impressive results even in considerably large data sets. The computational complexity of K-means does not suffer from…

Machine Learning · Computer Science 2009-12-22 Samarjeet Borah , Mrinal Kanti Ghose

There has been considerable work on improving popular clustering algorithm `K-means' in terms of mean squared error (MSE) and speed, both. However, most of the k-means variants tend to compute distance of each data point to each cluster…

Machine Learning · Computer Science 2017-01-18 Siddhesh Khandelwal , Amit Awekar

Clustering partitions a dataset such that observations placed together in a group are similar but different from those in other groups. Hierarchical and $K$-means clustering are two approaches but have different strengths and weaknesses.…

Machine Learning · Statistics 2017-12-27 Anna D. Peterson , Arka P. Ghosh , Ranjan Maitra

In sensor networks, it is not always practical to set up a fusion center. Therefore, there is need for fully decentralized clustering algorithms. Decentralized clustering algorithms should minimize the amount of data exchanged between…

Machine Learning · Statistics 2018-07-13 Elsa Dupraz , Dominique Pastor , François-Xavier Socheleau

Clustering is a usual unsupervised machine learning technique for grouping the data points into groups based upon similar features. We focus here on unsupervised clustering for contaminated data, i.e in the case where K-medians should be…

Statistics Theory · Mathematics 2024-02-28 Antoine Godichon-Baggioni , Sobihan Surendran

We propose k^2-means, a new clustering method which efficiently copes with large numbers of clusters and achieves low energy solutions. k^2-means builds upon the standard k-means (Lloyd's algorithm) and combines a new strategy to accelerate…

Machine Learning · Computer Science 2016-05-31 Eirikur Agustsson , Radu Timofte , Luc Van Gool

In data summarization we want to choose $k$ prototypes in order to summarize a data set. We study a setting where the data set comprises several demographic groups and we are restricted to choose $k_i$ prototypes belonging to group $i$. A…

Machine Learning · Statistics 2019-05-14 Matthäus Kleindessner , Pranjal Awasthi , Jamie Morgenstern

Unsupervised clustering of temporal data is both challenging and crucial in machine learning. In this paper, we show that neither traditional clustering methods, time series specific or even deep learning-based alternatives generalise well…

Machine Learning · Computer Science 2020-10-13 Nuno Mota Goncalves , Ioana Giurgiu , Anika Schumann
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