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Low rank matrix approximation is a popular topic in machine learning. In this paper, we propose a new algorithm for this topic by minimizing the least-squares estimation over the Riemannian manifold of fixed-rank matrices. The algorithm is…

Machine Learning · Computer Science 2022-02-15 Qianqian Song

With the increasing popularity of XML data and a great need for a database management system able to store, retrieve and manipulate XML-based data in an efficient manner, database research communities and software industries have tried to…

Databases · Computer Science 2017-07-27 Amir Mohammad Saba , Elham Shahab , Hadi Abdolrahimpour , Mahsa Hakimi , Akbar Moazzam

Querying over XML elements using keyword search is steadily gaining popularity. The traditional similarity measure is widely employed in order to effectively retrieve various XML documents. A number of authors have already proposed…

Information Retrieval · Computer Science 2010-12-20 Yang Wang , Zhikui Chen , Xiaodi Huang

Data sparsity is one of the main challenges posed by code-switching (CS), which is further exacerbated in the case of morphologically rich languages. For the task of machine translation (MT), morphological segmentation has proven successful…

Computation and Language · Computer Science 2023-05-02 Marwa Gaser , Manuel Mager , Injy Hamed , Nizar Habash , Slim Abdennadher , Ngoc Thang Vu

Using a trimming approach, we investigate a k-means type method based on Bregman divergences for clustering data possibly corrupted with clutter noise. The main interest of Bregman divergences is that the standard Lloyd algorithm adapts to…

Statistics Theory · Mathematics 2020-09-10 Aurélie Fischer , Clément Levrard , Claire Brécheteau

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

Matrix decomposition is one of the fundamental tools to discover knowledge from big data generated by modern applications. However, it is still inefficient or infeasible to process very big data using such a method in a single machine.…

Machine Learning · Computer Science 2020-02-11 Chihao Zhang , Yang Yang , Wei Zhang , Shihua Zhang

Graph clustering or community detection constitutes an important task for investigating the internal structure of graphs, with a plethora of applications in several domains. Traditional techniques for graph clustering, such as spectral…

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

Clustering is one of the most fundamental tasks in machine learning, and the k-means clustering algorithm is perhaps one of the most widely used clustering algorithms. However, it suffers from several limitations, such as sensitivity to…

Quantum Physics · Physics 2026-04-10 Syed M. Abdullah , Alisha Baba , Muhammad Siddique , Muhammad Faryad

We introduce K-tree in an information retrieval context. It is an efficient approximation of the k-means clustering algorithm. Unlike k-means it forms a hierarchy of clusters. It has been extended to address issues with sparse…

Information Retrieval · Computer Science 2010-01-07 Christopher M. De Vries , Shlomo Geva

To cluster data that are not linearly separable in the original feature space, $k$-means clustering was extended to the kernel version. However, the performance of kernel $k$-means clustering largely depends on the choice of kernel…

Machine Learning · Computer Science 2018-11-02 Yaqiang Yao , Huanhuan Chen

Over the last three decades, researchers have intensively explored various clustering tools for categorical data analysis. Despite the proposal of various clustering algorithms, the classical k-modes algorithm remains a popular choice for…

Machine Learning · Computer Science 2023-10-10 Surya Teja Gavva , Karthik C. S. , Sharath Punna

$K$-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…

Computer Vision and Pattern Recognition · Computer Science 2013-12-12 Jingdong Wang , Jing Wang , Qifa Ke , Gang Zeng , Shipeng Li

We propose a robust clustering framework for high-dimensional data with heavy tails and a large fraction of irrelevant variables. The method replaces the mean updates of Lloyd's $K$-means with \emph{spatial medians} to enhance robustness.…

Methodology · Statistics 2026-05-04 Ping Zhao , Dan Zhuang , Long Feng

Traditional enterprise warehouse solutions center around an analytical database system that is monolithic and inflexible: data needs to be extracted, transformed, and loaded into the rigid relational form before analysis. It takes years of…

Databases · Computer Science 2012-09-10 Reynold S. Xin

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

Machine Learning · Computer Science 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

XML is based on two essential aspects: the modelization of data in a tree like structure and the separation between the information itself and the way it is displayed. XML structures are easily serializable. The separation between an…

Software Engineering · Computer Science 2009-02-19 Claude Pasquier , Laurent Théry

The business intelligence and decision-support systems used in many application domains casually rely on data warehouses, which are decision-oriented data repositories modeled as multidimensional (MD) structures. MD structures help navigate…

Databases · Computer Science 2013-09-02 Marouane Hachicha , Chantola Kit , Jérôme Darmont

Contextual Partitioning introduces an innovative approach to enhancing the architectural design of large-scale computational models through the dynamic segmentation of parameters into context-aware regions. This methodology emphasizes the…

Computation and Language · Computer Science 2025-08-11 Offa Kingsleigh , Alfred Abercrombie , David Woolstencroft , Beorhtric Meadowcroft , Marcus Irvin
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