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$k$-means++ \cite{arthur2007k} is a widely used clustering algorithm that is easy to implement, has nice theoretical guarantees and strong empirical performance. Despite its wide adoption, $k$-means++ sometimes suffers from being slow on…

Machine Learning · Computer Science 2020-12-23 Vincent Cohen-Addad , Silvio Lattanzi , Ashkan Norouzi-Fard , Christian Sohler , Ola Svensson

Time-series clustering serves as a powerful data mining technique for time-series data in the absence of prior knowledge about clusters. A large amount of time-series data with large size has been acquired and used in various research…

Signal Processing · Electrical Eng. & Systems 2024-05-21 Tomoki Inoue , Koyo Kubota , Tsubasa Ikami , Yasuhiro Egami , Hiroki Nagai , Takahiro Kashikawa , Koichi Kimura , Yu Matsuda

Recently, due to an increasing interest for transparency in artificial intelligence, several methods of explainable machine learning have been developed with the simultaneous goal of accuracy and interpretability by humans. In this paper,…

Machine Learning · Computer Science 2021-07-16 Hossein Esfandiari , Vahab Mirrokni , Shyam Narayanan

Vibration-based condition monitoring systems are receiving increasing attention due to their ability to accurately identify different conditions by capturing dynamic features over a broad frequency range. However, there is little research…

Machine Learning · Computer Science 2023-05-12 Philipp Sepin , Jana Kemnitz , Safoura Rezapour Lakani , Daniel Schall

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

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

This paper introduces a novel K-means clustering algorithm, an advancement on the conventional Big-means methodology. The proposed method efficiently integrates parallel processing, stochastic sampling, and competitive optimization to…

Machine Learning · Computer Science 2024-03-28 Rustam Mussabayev , Ravil Mussabayev

The problem of rapid and automated detection of distinct market regimes is a topic of great interest to financial mathematicians and practitioners alike. In this paper, we outline an unsupervised learning algorithm for clustering financial…

Computational Finance · Quantitative Finance 2021-10-25 Blanka Horvath , Zacharia Issa , Aitor Muguruza

We devise coresets for kernel $k$-Means with a general kernel, and use them to obtain new, more efficient, algorithms. Kernel $k$-Means has superior clustering capability compared to classical $k$-Means, particularly when clusters are…

Data Structures and Algorithms · Computer Science 2024-04-09 Shaofeng H. -C. Jiang , Robert Krauthgamer , Jianing Lou , Yubo Zhang

We present a clustering- and demotion-based algorithm called Kmeans-FOLD to induce nonmonotonic logic programs from positive and negative examples. Our algorithm improves upon-and is inspired by-the FOLD algorithm. The FOLD algorithm itself…

Artificial Intelligence · Computer Science 2021-09-28 Huaduo Wang , Farhad Shakerin , Gopal Gupta

Bayesian models offer great flexibility for clustering applications---Bayesian nonparametrics can be used for modeling infinite mixtures, and hierarchical Bayesian models can be utilized for sharing clusters across multiple data sets. For…

Machine Learning · Computer Science 2012-06-15 Brian Kulis , Michael I. Jordan

We employ unsupervised machine learning to enhance the accuracy of our recently presented scaling method for wave confinement analysis [1]. We employ the standard k-means++ algorithm as well as our own model-based algorithm. We investigate…

Clustering is widely used in unsupervised learning to find homogeneous groups of observations within a dataset. However, clustering mixed-type data remains a challenge, as few existing approaches are suited for this task. This study…

Machine Learning · Statistics 2025-11-26 Badih Ghattas , Alvaro Sanchez San-Benito

Clustering is spotting pattern in a group of objects and resultantly grouping the similar objects together. Objects have attributes which are not always numerical, sometimes attributes have domain or categories to which they could belong…

Machine Learning · Computer Science 2020-11-20 Utkarsh Nath , Shikha Asrani , Rahul Katarya

Centroid-based clustering algorithms, such as hard K-means (HKM) and fuzzy K-means (FKM), have suffered from learning bias towards large clusters. Their centroids tend to be crowded in large clusters, compromising performance when the true…

Machine Learning · Computer Science 2024-06-07 Yudong He

Machine learning algorithms perform well on identifying patterns in many different datasets due to their versatility. However, as one increases the size of the dataset, the computation time for training and using these statistical models…

Quantum Physics · Physics 2024-09-19 Abhijat Sarma , Rupak Chatterjee , Kaitlin Gili , Ting Yu

The Tabu Search (TS) metaheuristic has been proposed for K-Means clustering as an alternative to Lloyd's algorithm, which for all its ease of implementation and fast runtime, has the major drawback of being trapped at local optima. While…

Machine Learning · Computer Science 2017-03-27 Kojo Sarfo Gyamfi , James Brusey , Andrew Hunt

Among many clustering algorithms, the K-means clustering algorithm is widely used because of its simple algorithm and fast convergence. However, this algorithm suffers from incomplete data, where some samples have missed some of their…

Machine Learning · Computer Science 2022-12-26 Ali Beikmohammadi

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 a recent work, [19] studied the following "fair" variants of classical clustering problems such as $k$-means and $k$-median: given a set of $n$ data points in $\mathbb{R}^d$ and a binary type associated to each data point, the goal is to…

Data Structures and Algorithms · Computer Science 2019-12-18 Lingxiao Huang , Shaofeng H. -C. Jiang , Nisheeth K. Vishnoi
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