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This work proposes a clusterization algorithm called k-Morphological Sets (k-MS), based on morphological reconstruction and heuristics. k-MS is faster than the CPU-parallel k-Means in worst case scenarios and produces enhanced…

机器学习 · 计算机科学 2022-08-31 É. O. Rodrigues , L. Torok , P. Liatsis , J. Viterbo , A. Conci

The recent framework of compressive statistical learning aims at designing tractable learning algorithms that use only a heavily compressed representation-or sketch-of massive datasets. Compressive K-Means (CKM) is such a method: it…

机器学习 · 计算机科学 2018-08-01 Vincent Schellekens , Laurent Jacques

In this paper, the traditional k-modes clustering algorithm is extended by weighting attribute value matches in dissimilarity computation. The use of attribute value weighting technique makes it possible to generate clusters with stronger…

人工智能 · 计算机科学 2007-05-23 Zengyou He , Xaiofei Xu , Shengchun Deng

The $K$-means algorithm remains one of the most widely-used clustering methods due to its simplicity and general utility. The performance of $K$-means depends upon location of minima low in cost function, amongst a potentially vast number…

机器学习 · 计算机科学 2023-06-27 Luke Dicks , David J. Wales

Clustering algorithms partition a dataset into groups of similar points. The primary contribution of this article is the Multiscale Spatially-Regularized Diffusion Learning (M-SRDL) clustering algorithm, which uses spatially-regularized…

机器学习 · 计算机科学 2022-04-08 Sam L. Polk , James M. Murphy

Clustering is one of the main tasks in exploratory data analysis and descriptive statistics where the main objective is partitioning observations in groups. Clustering has a broad range of application in varied domains like climate,…

数据库 · 计算机科学 2012-03-20 Saptarsi Goswami , Amlan Chakrabarti

We address general-shaped clustering problems under very weak parametric assumptions with a two-step hybrid robust clustering algorithm based on trimmed k-means and hierarchical agglomeration. The algorithm has low computational complexity…

统计方法学 · 统计学 2022-01-19 Luca Insolia , Domenico Perrotta

Cluster-scale strong lensing is a powerful tool for exploring the properties of dark matter and constraining cosmological models. However, due to the complex parameter space, pixelized strong lens modeling in galaxy clusters is…

宇宙学与河外天体物理 · 物理学 2024-05-07 Yushan Xie , Huanyuan Shan , Nan Li , Ran Li , Eric Jullo , Chen Su , Xiaoyue Cao , Jean-Paul Kneib , Ana Acebron , Mengfan He , Ji Yao , Chunxiang Wang , Jiadong Li , Yin Li

We study $k$-means clustering in a semi-supervised setting. Given an oracle that returns whether two given points belong to the same cluster in a fixed optimal clustering, we investigate the following question: how many oracle queries are…

数据结构与算法 · 计算机科学 2018-11-07 Buddhima Gamlath , Sangxia Huang , Ola Svensson

In machine learning and data mining, Cluster analysis is one of the most widely used unsupervised learning technique. Philosophy of this algorithm is to find similar data items and group them together based on any distance function in…

机器学习 · 统计学 2018-10-09 Kumarjit Pathak , Jitin Kapila

In many applications of X-ray computed tomography, an unsupervised segmentation of the reconstructed 3D volumes forms an important step in the image processing chain for further investigation of the digitized object. Therefore, the goal is…

计算机视觉与模式识别 · 计算机科学 2023-03-09 Thomas Lang

In this paper, we study the problem of learning dynamical properties of ensemble systems from their collective behaviors using statistical approaches in reproducing kernel Hilbert space (RKHS). Specifically, we provide a framework to…

机器学习 · 计算机科学 2022-03-24 Wei Miao , Gong Cheng , Jr-Shin Li

We introduce the QuadratiK package that incorporates innovative data analysis methodologies. The presented software, implemented in both R and Python, offers a comprehensive set of goodness-of-fit tests and clustering techniques using…

统计计算 · 统计学 2024-07-26 Giovanni Saraceno , Marianthi Markatou , Raktim Mukhopadhyay , Mojgan Golzy

Kernel power $k$-means (KPKM) leverages a family of means to mitigate local minima issues in kernel $k$-means. However, KPKM faces two key limitations: (1) the computational burden of the full kernel matrix restricts its use on extensive…

机器学习 · 计算机科学 2025-11-14 Yixi Chen , Weixuan Liang , Tianrui Liu , Jun-Jie Huang , Ao Li , Xueling Zhu , Xinwang Liu

Traditional k-means clustering underperforms on non-convex shapes and requires the number of clusters k to be specified in advance. We propose a simple geometric enhancement: after standard k-means, each cluster center is assigned a radius…

机器学习 · 计算机科学 2025-04-30 Stefan Kober

Anti-Money Laundering (AML) is a crucial task in ensuring the integrity of financial systems. One keychallenge in AML is identifying high-risk groups based on their behavior. Unsupervised learning, particularly clustering, is a promising…

统计金融 · 定量金融 2024-03-05 Ahmed N. Bakry , Almohammady S. Alsharkawy , Mohamed S. Farag , Kamal R. Raslan

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…

机器学习 · 计算机科学 2024-04-03 Andrew Draganov , David Saulpic , Chris Schwiegelshohn

Machine-learning of atomic-scale properties amounts to extracting correlations between structure, composition and the quantity that one wants to predict. Representing the input structure in a way that best reflects such correlations makes…

化学物理 · 物理学 2021-02-02 Michael J. Willatt , Félix Musil , Michele Ceriotti

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.…

数据结构与算法 · 计算机科学 2024-12-25 Jake Hyun

Clustering is an important data mining technique where we will be interested in maximizing intracluster distance and also minimizing intercluster distance. We have utilized clustering techniques for detecting deviation in product sales and…

数据库 · 计算机科学 2013-12-11 S. Hanumanth Sastry , Prof. M. S. Prasada Babu