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Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

Databases · Computer Science 2020-03-11 Mujahid Sultan

In longitudinal data analysis, observation points of repeated measurements over time often vary among subjects except in well-designed experimental studies. Additionally, measurements for each subject are typically obtained at only a few…

Methodology · Statistics 2024-11-14 Michio Yamamoto , Yoshikazu Terada

In this paper, we present a semi-supervised learning algorithm for classification of text documents. A method of labeling unlabeled text documents is presented. The presented method is based on the principle of divide and conquer strategy.…

Machine Learning · Computer Science 2017-06-27 Harsha S. Gowda , Mahamad Suhil , D. S. Guru , Lavanya Narayana Raju

This paper introduces {\em fusion subspace clustering}, a novel method to learn low-dimensional structures that approximate large scale yet highly incomplete data. The main idea is to assign each datum to a subspace of its own, and minimize…

Machine Learning · Computer Science 2022-05-24 Usman Mahmood , Daniel Pimentel-Alarcón

The downfall of many supervised learning algorithms, such as neural networks, is the inherent need for a large amount of training data. Although there is a lot of buzz about big data, there is still the problem of doing classification from…

Machine Learning · Computer Science 2015-09-08 Armen Aghajanyan

k-means has recently been recognized as one of the best algorithms for clustering unsupervised data. Since k-means depends mainly on distance calculation between all data points and the centers, the time cost will be high when the size of…

Data Structures and Algorithms · Computer Science 2011-08-08 Raied Salman , Vojislav Kecman , Qi Li , Robert Strack , Erik Test

This paper concerns the challenge to evaluate and predict a district vitality index (VI) over the years. There is no standard method to do it, and it is even more complicated to do it retroactively in the last decades. Although, it is…

Machine Learning · Computer Science 2021-02-02 Jean-Sébastien Dessureault , Jonathan Simard , Daniel Massicotte

In this study, we examine a clustering problem in which the covariates of each individual element in a dataset are associated with an uncertainty specific to that element. More specifically, we consider a clustering approach in which a…

Methodology · Statistics 2022-04-19 Akifumi Okuno , Kohei Hattori

This paper presents a new clustering algorithm for space-time data based on the concepts of topological data analysis and in particular, persistent homology. Employing persistent homology - a flexible mathematical tool from algebraic…

Machine Learning · Statistics 2019-10-28 Umar Islambekov , Yulia Gel

Many clustering algorithms exist that estimate a cluster centroid, such as K-means, K-medoids or mean-shift, but no algorithm seems to exist that clusters data by returning exactly K meaningful modes. We propose a natural definition of a…

Machine Learning · Computer Science 2013-04-25 Miguel Á. Carreira-Perpiñán , Weiran Wang

We consider the problem of classification of points sampled from an unknown probability measure on a Euclidean space. We study the question of querying the class label at a very small number of judiciously chosen points so as to be able to…

Machine Learning · Computer Science 2020-12-09 Alexander Cloninger , Hrushikesh Mhaskar

When considering answering important questions with data, unsupervised data offers extensive insight opportunity and unique challenges. This study considers student survey data with a specific goal of clustering students into like groups…

Computers and Society · Computer Science 2018-12-14 Kathleen Campbell Garwood , Ph. D. , Arpit Arun Dhobale

Clustering is a fundamental tool in unsupervised learning, used to group objects by distinguishing between similar and dissimilar features of a given data set. One of the most common clustering algorithms is k-means. Unfortunately, when…

Machine Learning · Statistics 2021-08-17 Olga Dorabiala , J. Nathan Kutz , Aleksandr Aravkin

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

Machine Learning · Statistics 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch

Clustering is an important exploratory data analysis technique to group objects based on their similarity. The widely used $K$-means clustering method relies on some notion of distance to partition data into a fewer number of groups. In the…

Machine Learning · Statistics 2022-10-14 Yubo Zhuang , Xiaohui Chen , Yun Yang

The immense amount of daily generated and communicated data presents unique challenges in their processing. Clustering, the grouping of data without the presence of ground-truth labels, is an important tool for drawing inferences from data.…

Machine Learning · Statistics 2018-02-08 Panagiotis A. Traganitis , Georgios B. Giannakis

Clustering high-dimensional spatiotemporal data using an unsupervised approach is a challenging problem for many data-driven applications. Existing state-of-the-art methods for unsupervised clustering use different similarity and distance…

Machine Learning · Computer Science 2023-09-15 Omar Faruque , Francis Ndikum Nji , Mostafa Cham , Rohan Mandar Salvi , Xue Zheng , Jianwu Wang

Face clustering is a promising way to scale up face recognition systems using large-scale unlabeled face images. It remains challenging to identify small or sparse face image clusters that we call hard clusters, which is caused by the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Yingjie Chen , Huasong Zhong , Chong Chen , Chen Shen , Jianqiang Huang , Tao Wang , Yun Liang , Qianru Sun

Clustering is a commonly used method for exploring and analysing data where the primary objective is to categorise observations into similar clusters. In recent decades, several algorithms and methods have been developed for analysing…

Machine Learning · Computer Science 2021-02-17 Bryar A. Hassan , Tarik A. Rashid

Effectively applying the K-means algorithm to clustering tasks with incomplete features remains an important research area due to its impact on real-world applications. Recent work has shown that unifying K-means clustering and imputation…

Machine Learning · Computer Science 2025-04-14 Lovis Kwasi Armah , Igor Melnykov