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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…

机器学习 · 计算机科学 2024-06-07 Yudong He

The K-Means clustering using LLoyd's algorithm is an iterative approach to partition the given dataset into K different clusters. The algorithm assigns each point to the cluster based on the following objective function \[\ \min…

分布式、并行与集群计算 · 计算机科学 2024-05-21 Ashish Srivastava , Mohammed Nawfal

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

统计方法学 · 统计学 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh

Kernel $k$-means clustering is a powerful tool for unsupervised learning of non-linearly separable data. Since the earliest attempts, researchers have noted that such algorithms often become trapped by local minima arising from…

机器学习 · 统计学 2020-11-13 Debolina Paul , Saptarshi Chakraborty , Swagatam Das , Jason Xu

With the development of information technology, the application of artificial intelligence and machine learning in the field of education shows great potential. This study aims to explore how to utilize K-means clustering algorithm to…

机器学习 · 计算机科学 2026-03-25 Qianru Wei , Jihaoyu Yang , Cheng Zhang , Jinming Yang

A promising direction in deep learning research consists in learning representations and simultaneously discovering cluster structure in unlabeled data by optimizing a discriminative loss function. As opposed to supervised deep learning,…

This paper presents a novel method for clustering surfaces. The proposal involves first using basis functions in a tensor product to smooth the data and thus reduce the dimension to a finite number of coefficients, and then using these…

统计方法学 · 统计学 2021-02-04 Adriano Zanin Zambom , Qing Wang , Ronaldo Dias

Identifying a set of homogeneous clusters in a heterogeneous dataset is one of the most important classes of problems in statistical modeling. In the realm of unsupervised partitional clustering, k-means is a very important algorithm for…

机器学习 · 统计学 2017-05-23 J. Andrew Howe

Nearest-neighbour clustering is a simple yet powerful machine learning algorithm that finds natural application in the decoding of signals in classical optical-fibre communication systems. Quantum k-means clustering promises a speed-up over…

K-Means clustering algorithm is one of the most commonly used clustering algorithms because of its simplicity and efficiency. K-Means clustering algorithm based on Euclidean distance only pays attention to the linear distance between…

机器学习 · 计算机科学 2022-06-13 Yiqun Zhang , Houbiao Li

Learning control policies offline from pre-recorded datasets is a promising avenue for solving challenging real-world problems. However, available datasets are typically of mixed quality, with a limited number of the trajectories that we…

A natural way to characterize the cluster structure of a dataset is by finding regions containing a high density of data. This can be done in a nonparametric way with a kernel density estimate, whose modes and hence clusters can be found…

机器学习 · 计算机科学 2015-03-03 Miguel Á. Carreira-Perpiñán

Learning a better representation with neural networks is a challenging problem, which was tackled extensively from different prospectives in the past few years. In this work, we focus on learning a representation that could be used for a…

机器学习 · 计算机科学 2017-05-02 Alexey Romanov , Anna Rumshisky

Chain-of-Thought (CoT) prompting has shown promise in enhancing the reasoning capabilities of large language models (LLMs) on text-attributed graphs (TAGs). This work reframes CoT-based graph learning through the principle of clustering as…

人工智能 · 计算机科学 2026-05-26 Xuanting Xie , Zhaochen Guo , Bingheng Li , Xingtong Yu , Zhifei Liao , Zhao Kang , Yuan Fang

FOLD-R++ is a new inductive learning algorithm for binary classification tasks. It generates an (explainable) normal logic program for mixed type (numerical and categorical) data. We present a customized FOLD-R++ algorithm with the ranking…

机器学习 · 计算机科学 2022-06-16 Huaduo Wang , Gopal Gupta

Multi-model fitting has been extensively studied from the random sampling and clustering perspectives. Most assume that only a single type/class of model is present and their generalizations to fitting multiple types of models/structures…

计算机视觉与模式识别 · 计算机科学 2019-01-30 Xun Xu , Loong-Fah Cheong , Zhuwen Li

This paper presents a thorough evaluation of the existing methods that accelerate Lloyd's algorithm for fast k-means clustering. To do so, we analyze the pruning mechanisms of existing methods, and summarize their common pipeline into a…

数据库 · 计算机科学 2020-10-28 Sheng Wang , Yuan Sun , Zhifeng Bao

Existing clustering algorithms such as K-means often need to preset parameters such as the number of categories K, and such parameters may lead to the failure to output objective and consistent clustering results. This paper introduces a…

机器学习 · 计算机科学 2022-09-15 Shaodong Deng , Long Sheng , Jiayi Nie , Fuyi Deng

Supervised classification can be effective for prediction but sometimes weak on interpretability or explainability (XAI). Clustering, on the other hand, tends to isolate categories or profiles that can be meaningful but there is no…

机器学习 · 计算机科学 2021-04-27 Vincent Lemaire , Oumaima Alaoui Ismaili , Antoine Cornuéjols , Dominique Gay

k-medoids algorithm is a partitional, centroid-based clustering algorithm which uses pairwise distances of data points and tries to directly decompose the dataset with $n$ points into a set of $k$ disjoint clusters. However, k-medoids…

机器学习 · 计算机科学 2015-12-15 Mehrdad Ghadiri , Amin Aghaee , Mahdieh Soleymani Baghshah