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We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

计算机视觉与模式识别 · 计算机科学 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

Matrix reordering is a task to permute the rows and columns of a given observed matrix such that the resulting reordered matrix shows meaningful or interpretable structural patterns. Most existing matrix reordering techniques share the…

机器学习 · 统计学 2026-02-17 Chihiro Watanabe , Taiji Suzuki

This paper presents resource management techniques for allocating communication and computational resources in a distributed stream processing platform. The platform is designed to exploit the synergy of two classes of network connections…

分布式、并行与集群计算 · 计算机科学 2009-03-25 Shah Asaduzzaman , Muthucumaru Maheswaran

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

性能 · 计算机科学 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

计算几何 · 计算机科学 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

Bilevel optimization has recently attracted growing interests due to its wide applications in modern machine learning problems. Although recent studies have characterized the convergence rate for several such popular algorithms, it is still…

机器学习 · 计算机科学 2022-02-01 Kaiyi Ji , Yingbin Liang

Biclustering numerical data became a popular data-mining task in the beginning of 2000's, especially for analysing gene expression data. A bicluster reflects a strong association between a subset of objects and a subset of attributes in a…

数据结构与算法 · 计算机科学 2011-11-15 Mehdi Kaytoue , Sergei O. Kuznetsov , Juraj Macko , Wagner Meira , Amedeo Napoli

The primary goal in cluster analysis is to discover natural groupings of objects. The field of cluster analysis is crowded with diverse methods that make special assumptions about data and address different scientific aims. Despite its…

基因组学 · 定量生物学 2018-06-07 Gary K. Chen , Eric Chi , John Ranola , Kenneth Lange

Bilevel optimization has gained significant attention in recent years due to its broad applications in machine learning. This paper focuses on bilevel optimization in decentralized networks and proposes a novel single-loop algorithm for…

最优化与控制 · 数学 2024-04-24 Youran Dong , Shiqian Ma , Junfeng Yang , Chao Yin

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

机器学习 · 计算机科学 2022-08-30 Miao Cheng , Xinge You

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

机器学习 · 计算机科学 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this…

机器学习 · 统计学 2016-11-17 Yudong Chen , Sujay Sanghavi , Huan Xu

Bipartite graph embedding (BGE) maps nodes to compressed embedding vectors that can reflect the hidden topological features of the network, and learning high-quality BGE is crucial for facilitating downstream applications such as…

社会与信息网络 · 计算机科学 2024-10-15 Shanfan Zhang , Yongyi Lin , Yuan Rao , Zhan Bu

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.…

机器学习 · 计算机科学 2020-02-11 Chihao Zhang , Yang Yang , Wei Zhang , Shihua Zhang

The sheer scale of modern datasets has resulted in a dire need for summarization techniques that identify representative elements in a dataset. Fortunately, the vast majority of data summarization tasks satisfy an intuitive diminishing…

机器学习 · 计算机科学 2018-06-08 Marko Mitrovic , Ehsan Kazemi , Morteza Zadimoghaddam , Amin Karbasi

Spectral clustering is one of the most popular unsupervised machine learning methods. Constructing similarity matrix is crucial to this type of method. In most existing works, the similarity matrix is computed once for all or is updated…

机器学习 · 计算机科学 2023-06-30 Yongyan Guo , Gang Wu

Spectral clustering requires the time-consuming decomposition of the Laplacian matrix of the similarity graph, thus limiting its applicability to large datasets. To improve the efficiency of spectral clustering, a top-down approach was…

机器学习 · 计算机科学 2024-12-19 Zhichang Xu , Zhiguo Long , Hua Meng

The clustering of bounded data presents unique challenges in statistical analysis due to the constraints imposed on the data values. This paper introduces a novel method for model-based clustering specifically designed for bounded data.…

统计方法学 · 统计学 2025-05-16 Luca Scrucca

While several Gaussian mixture models-based biclustering approaches currently exist in the literature for continuous data, approaches to handle discrete data have not been well researched. A multivariate Poisson-lognormal (MPLN) model-based…

统计方法学 · 统计学 2025-03-13 Caitlin Kral , Evan Chance , Ryan Browne , Sanjeena Subedi

Recently, clustering moving object trajectories kept gaining interest from both the data mining and machine learning communities. This problem, however, was studied mainly and extensively in the setting where moving objects can move freely…

机器学习 · 统计学 2015-11-05 Mohamed Khalil El Mahrsi , Romain Guigourès , Fabrice Rossi , Marc Boullé