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Kernel methods obtain superb performance in terms of accuracy for various machine learning tasks since they can effectively extract nonlinear relations. However, their time complexity can be rather large especially for clustering tasks. In…

机器学习 · 统计学 2015-10-29 Xu Wang , Gilad Lerman

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…

We study in this paper the problem of jointly clustering and learning representations. As several previous studies have shown, learning representations that are both faithful to the data to be clustered and adapted to the clustering…

机器学习 · 计算机科学 2018-12-13 Maziar Moradi Fard , Thibaut Thonet , Eric Gaussier

Interactive visualization of embedding projections is a useful technique for understanding data and evaluating machine learning models. Labeling data within these visualizations is critical for interpretation, as labels provide an overview…

人机交互 · 计算机科学 2025-05-20 Donghao Ren , Fred Hohman , Dominik Moritz

Manifold clustering, with its exceptional ability to capture complex data structures, holds a pivotal position in cluster analysis. However, existing methods often focus only on finding the optimal combination between K-means and manifold…

机器学习 · 计算机科学 2025-04-30 Fangfang Li , Quanxue Gao

$K$-means, a simple and effective clustering algorithm, is one of the most widely used algorithms in multimedia and computer vision community. Traditional $k$-means is an iterative algorithm---in each iteration new cluster centers are…

计算机视觉与模式识别 · 计算机科学 2013-12-12 Jingdong Wang , Jing Wang , Qifa Ke , Gang Zeng , Shipeng Li

K-means clustering, as a classic unsupervised machine learning algorithm, is the key step to select the interpolation sampling points in interpolative separable density fitting (ISDF) decomposition. Real-valued K-means clustering for…

计算物理 · 物理学 2024-01-09 Shizhe Jiao , Jielan Li , Xinming Qin , Lingyun Wan , Wei Hu , Jinlong Yang

Factorial k-means (FKM) clustering is a method for clustering objects in a low-dimensional subspace. The advantage of this method is that the partition of objects and the low-dimensional subspace reflecting the cluster structure are…

统计理论 · 数学 2014-02-14 Yoshikazu Terada

Kernel-based clustering algorithm can identify and capture the non-linear structure in datasets, and thereby it can achieve better performance than linear clustering. However, computing and storing the entire kernel matrix occupy so large…

机器学习 · 计算机科学 2020-02-10 Li Chen , Shuisheng Zhou , Jiajun Ma

Spectral clustering has found extensive use in many areas. Most traditional spectral clustering algorithms work in three separate steps: similarity graph construction; continuous labels learning; discretizing the learned labels by k-means…

机器学习 · 计算机科学 2017-11-15 Zhao Kang , Chong Peng , Qiang Cheng , Zenglin Xu

K-plane clustering (KPC), hyperplane clustering, and mixture regression all essentially fall within the same class of problems. This problem can be conceptualized as clustering in relatively high-dimensional K subspaces or K linear…

机器学习 · 计算机科学 2026-04-27 Junjun Huang , Xiliang Lu , Xuelin Xie , Jerry Zhijian Yang

Learning augmented is a machine learning concept built to improve the performance of a method or model, such as enhancing its ability to predict and generalize data or features, or testing the reliability of the method by introducing noise…

机器学习 · 计算机科学 2024-01-09 Issam K. O Jabari , Shofiyah , Pradiptya Kahvi S , Novi Nur Putriwijaya , Novanto Yudistira

High-capacity associative memories based on Kernel Logistic Regression (KLR) achieve strong retrieval performance but typically require substantial computational resources. This paper investigates the compressibility of KLR Hopfield…

神经与进化计算 · 计算机科学 2026-05-11 Akira Tamamori

Clustering is a powerful machine learning technique that groups "similar" data points based on their characteristics. Many clustering algorithms work by approximating the minimization of an objective function, namely the sum of…

量子物理 · 物理学 2018-01-29 Vaibhaw Kumar , Gideon Bass , Casey Tomlin , Joseph Dulny

Clustering partitions a dataset such that observations placed together in a group are similar but different from those in other groups. Hierarchical and $K$-means clustering are two approaches but have different strengths and weaknesses.…

机器学习 · 统计学 2017-12-27 Anna D. Peterson , Arka P. Ghosh , Ranjan Maitra

We explore the utility of clustering in reducing error in various prediction tasks. Previous work has hinted at the improvement in prediction accuracy attributed to clustering algorithms if used to pre-process the data. In this work we more…

机器学习 · 计算机科学 2015-09-22 Shubhendu Trivedi , Zachary A. Pardos , Neil T. Heffernan

In this paper, we investigate the learning-augmented $k$-median clustering problem, which aims to improve the performance of traditional clustering algorithms by preprocessing the point set with a predictor of error rate $\alpha \in [0,1)$.…

数据结构与算法 · 计算机科学 2026-03-12 Kangke Cheng , Shihong Song , Guanlin Mo , Hu Ding

Quantum Clustering is a powerful method to detect clusters in data with mixed density. However, it is very sensitive to a length parameter that is inherent to the Schr\"odinger equation. In addition, linking data points into clusters…

Clustering is a usual unsupervised machine learning technique for grouping the data points into groups based upon similar features. We focus here on unsupervised clustering for contaminated data, i.e in the case where K-medians should be…

统计理论 · 数学 2024-02-28 Antoine Godichon-Baggioni , Sobihan Surendran

We consider the problem of clustering in the learning-augmented setting, where we are given a data set in $d$-dimensional Euclidean space, and a label for each data point given by an oracle indicating what subsets of points should be…

机器学习 · 计算机科学 2023-03-02 Thy Nguyen , Anamay Chaturvedi , Huy Lê Nguyen