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Common clustering algorithms require multiple scans of all the data to achieve convergence, and this is prohibitive when large databases, with data arriving in streams, must be processed. Some algorithms to extend the popular K-means method…

Applications · Statistics 2017-12-22 Giacomo Aletti , Alessandra Micheletti

Interpretable clustering algorithms aim to group similar data points while explaining the obtained groups to support knowledge discovery and pattern recognition tasks. While most approaches to interpretable clustering construct clusters…

Machine Learning · Computer Science 2024-08-27 Nakul Upadhya , Eldan Cohen

The traditional apriori algorithm can be used for clustering the web documents based on the association technique of data mining. But this algorithm has several limitations due to repeated database scans and its weak association rule…

Information Retrieval · Computer Science 2015-03-31 Rajendra Kumar Roul , Saransh Varshneya , Ashu Kalra , Sanjay Kumar Sahay

Digital image segmentation is the process of assigning distinct labels to different objects in a digital image, and the fuzzy segmentation algorithm has been successfully used in the segmentation of images from a wide variety of sources.…

Computer Vision and Pattern Recognition · Computer Science 2017-10-10 José F. S. Neto , Waldson P. N. Leandro , Matheus A. Gadelha , Tiago S. Santos , Bruno M. Carvalho , Edgar Garduño

Here we present a quantum algorithm for clustering data based on a variational quantum circuit. The algorithm allows to classify data into many clusters, and can easily be implemented in few-qubit Noisy Intermediate-Scale Quantum (NISQ)…

Quantum Physics · Physics 2024-01-08 Pablo Bermejo , Roman Orus

In some complicated datasets, due to the presence of noisy data points and outliers, cluster validity indices can give conflicting results in determining the optimal number of clusters. This paper presents a new validity index for…

Machine Learning · Computer Science 2020-05-20 Mohammad Hossein Fazel Zarandi , Shahabeddin Sotudian , Oscar Castillo

This paper further studies the fuzzy rough sets based on fuzzy coverings. We first present the notions of the lower and upper approximation operators based on fuzzy coverings and derive their basic properties. To facilitate the computation…

Information Theory · Computer Science 2013-04-02 Guangming Lang , Qingguo Li , Lankun Guo

Clustering algorithms aim to organize data into groups or clusters based on the inherent patterns and similarities within the data. They play an important role in today's life, such as in marketing and e-commerce, healthcare, data…

Machine Learning · Computer Science 2024-01-17 Hui Yin , Amir Aryani , Stephen Petrie , Aishwarya Nambissan , Aland Astudillo , Shengyuan Cao

Gradual numbers have been introduced recently as a means of extending standard interval computation methods to fuzzy intervals. The literature treats monotonic functions of fuzzy intervals. In this paper, we combine the concepts of gradual…

Optimization and Control · Mathematics 2007-12-20 Elizabeth Untiedt , Weldon Lodwick

Many real-life data are described by categorical attributes without a pre-classification. A common data mining method used to extract information from this type of data is clustering. This method group together the samples from the data…

Machine Learning · Computer Science 2014-07-30 Fabricio Olivetti de França

Clustering is an extensive research area in data science. The aim of clustering is to discover groups and to identify interesting patterns in datasets. Crisp (hard) clustering considers that each data point belongs to one and only one…

Machine Learning · Computer Science 2018-08-02 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont , Sylvie Yona Waksman

The problem of developing models and algorithms for multilevel association mining pose for new challenges for mathematics and computer science. These problems become more challenging, when some form of uncertainty like fuzziness is present…

Databases · Computer Science 2010-03-25 Pratima Gautam , Neelu Khare , K. R. Pardasani

Biclustering is an unsupervised data mining technique that aims to unveil patterns (biclusters) from gene expression data matrices. In the framework of this thesis, we propose new biclustering algorithms for microarray data. The latter is…

Machine Learning · Computer Science 2018-11-26 Amina Houari

The feature selection in a traditional binary classification algorithm is always used in the stage of dataset preprocessing, which makes the obtained features not necessarily the best ones for the classification algorithm, thus affecting…

Machine Learning · Computer Science 2024-01-30 Haoning Li , Cong Wang , Qinghua Huang

Higher-order community detection (HCD) reveals both mesoscale structures and functional characteristics of real-life networks. Although many methods have been developed from diverse perspectives, to our knowledge, none can provide…

Physics and Society · Physics 2024-07-11 Jing Xiao , Ya-Wei Wei , Xiao-Ke Xu

Although fuzzy techniques promise fast meanwhile accurate modeling and control abilities for complicated systems, different difficulties have been re-vealed in real situation implementations. Usually there is no escape of it-erative…

Artificial Intelligence · Computer Science 2017-01-08 Iman Esmaili Paeen Afrakoti , Saeed Bagheri Shouraki , Farnood Merrikhbayat

Fuzzy systems may be considered as knowledge-based systems that incorporates human knowledge into their knowledge base through fuzzy rules and fuzzy membership functions. The intent of this study is to present a fuzzy knowledge integration…

Neural and Evolutionary Computing · Computer Science 2016-11-17 Nafisa Afrin Chowdhury , Murshida Khatun , M. M. A. Hashem

A novel procedure to perform fuzzy clustering of multivariate time series generated from different dependence models is proposed. Different amounts of dissimilarity between the generating models or changes on the dynamic behaviours over…

Methodology · Statistics 2021-09-09 Ángel López-Oriona , José A. Vilar , Pierpaolo-D'Urso

The size of web has increased exponentially over the past few years with thousands of documents related to a subject available to the user. With this much amount of information available, it is not possible to take the full advantage of the…

Information Retrieval · Computer Science 2012-11-07 R. K. Roul , S. K. Sahay

Searching for concepts in science and technology is often a difficult task. To facilitate concept search, different types of human-generated metadata have been created to define the content of scientific and technical disclosures.…

Information Retrieval · Computer Science 2014-07-01 Richard Absalom , Marcus Luczak-Rosch , Dap Hartmann , Aske Plaat