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K-means is undoubtedly the most widely used partitional clustering algorithm. Unfortunately, due to its gradient descent nature, this algorithm is highly sensitive to the initial placement of the cluster centers. Numerous initialization…

Machine Learning · Computer Science 2012-09-11 M. Emre Celebi , Hassan A. Kingravi , Patricio A. Vela

Reduced k-means clustering is a method for clustering objects in a low-dimensional subspace. The advantage of this method is that both clustering of objects and low-dimensional subspace reflecting the cluster structure are simultaneously…

Statistics Theory · Mathematics 2014-02-14 Yoshikazu Terada

We present a study on how to effectively reduce the dimensions of the $k$-means clustering problem, so that provably accurate approximations are obtained. Four algorithms are presented, two \textit{feature selection} and two \textit{feature…

Machine Learning · Computer Science 2020-07-28 Neophytos Charalambides

The K-Modes algorithm, developed for clustering categorical data, is of high algorithmic simplicity but suffers from unreliable performances in clustering quality and clustering efficiency, both heavily influenced by the choice of initial…

Machine Learning · Computer Science 2025-02-18 Bipana Thapaliya , Yu Zhuang

Recent advancements in machine learning achieved by Deep Neural Networks (DNNs) have been significant. While demonstrating high accuracy, DNNs are associated with a huge number of parameters and computations, which leads to high memory…

Machine Learning · Computer Science 2023-12-20 Babak Rokh , Ali Azarpeyvand , Alireza Khanteymoori

Clustering categorical data is an integral part of data mining and has attracted much attention recently. In this paper, we present k-histogram, a new efficient algorithm for clustering categorical data. The k-histogram algorithm extends…

Artificial Intelligence · Computer Science 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng , Bin Dong

This paper investigates into the colorization problem which converts a grayscale image to a colorful version. This is a very difficult problem and normally requires manual adjustment to achieve artifact-free quality. For instance, it…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Zezhou Cheng , Qingxiong Yang , Bin Sheng

A significantly faster algorithm is presented for the original kNN mode seeking procedure. It has the advantages over the well-known mean shift algorithm that it is feasible in high-dimensional vector spaces and results in uniquely, well…

Machine Learning · Statistics 2017-12-21 Robert P. W. Duin , Sergey Verzakov

The ability to characterize the color content of natural imagery is an important application of image processing. The pixel by pixel coloring of images may be viewed naturally as points in color space, and the inherent structure and…

Geometric Topology · Mathematics 2012-02-21 Lori Ziegelmeier , Michael Kirby , Chris Peterson

Fast and high quality document clustering is an important task in organizing information, search engine results obtaining from user query, enhancing web crawling and information retrieval. With the large amount of data available and with a…

Information Retrieval · Computer Science 2010-03-11 Alok Ranjan , Harish Verma , Eatesh Kandpal , Joydip Dhar

Fast recognizing driver's decision-making style of changing lanes plays a pivotal role in safety-oriented and personalized vehicle control system design. This paper presents a time-efficient recognition method by integrating k-means…

Signal Processing · Electrical Eng. & Systems 2018-12-19 Sen Yang , Wenshuo Wang , Chao Lu , Jianwei Gong , Junqiang Xi

Among ensemble clustering methods, Evidence Accumulation Clustering is one of the simplest technics. In this approach, a co-association (CA) matrix representing the co-clustering frequency is built and then clustered to extract consensus…

Machine Learning · Computer Science 2023-11-17 Gaëlle Candel

In recent years, the majority of works on deep-learning-based image colorization have focused on how to make a good use of the enormous datasets currently available. What about when the data at disposal are scarce? The main objective of…

Machine Learning · Computer Science 2019-09-18 Tomaso Fontanini , Eleonora Iotti , Andrea Prati

Context. K-means is a clustering algorithm that has been used to classify large datasets in astronomical databases. It is an unsupervised method, able to cope very different types of problems. Aims. We check whether a variant of the…

Instrumentation and Methods for Astrophysics · Physics 2014-05-08 I. Ordovás-Pascual , J. Sánchez Almeida

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

A fair clustering instance is given a data set $A$ in which every point is assigned some color. Colors correspond to various protected attributes such as sex, ethnicity, or age. A fair clustering is an instance where membership of points in…

Data Structures and Algorithms · Computer Science 2021-03-09 Matteo Böhm , Adriano Fazzone , Stefano Leonardi , Chris Schwiegelshohn

This paper considers $k$-means clustering in the presence of noise. It is known that $k$-means clustering is highly sensitive to noise, and thus noise should be removed to obtain a quality solution. A popular formulation of this problem is…

Data Structures and Algorithms · Computer Science 2020-04-14 Sungjin Im , Mahshid Montazer Qaem , Benjamin Moseley , Xiaorui Sun , Rudy Zhou

Clustering is one of the most fundamental tools in the artificial intelligence area, particularly in the pattern recognition and learning theory. In this paper, we propose a simple, but novel approach for variance-based k-clustering tasks,…

Machine Learning · Computer Science 2020-09-17 Yicheng Xu , Vincent Chau , Chenchen Wu , Yong Zhang , Vassilis Zissimopoulos , Yifei Zou

We study the theoretical and practical runtime limits of k-means and k-median clustering on large datasets. Since effectively all clustering methods are slower than the time it takes to read the dataset, the fastest approach is to quickly…

Machine Learning · Computer Science 2024-04-03 Andrew Draganov , David Saulpic , Chris Schwiegelshohn

Feature point matching for camera localization suffers from scalability problems. Even when feature descriptors associated with 3D scene points are locally unique, as coverage grows, similar or repeated features become increasingly common.…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Raúl Díaz , Charless C. Fowlkes
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