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In this paper, we introduce the concept of sparse bilinear logistic regression for decision problems involving explanatory variables that are two-dimensional matrices. Such problems are common in computer vision, brain-computer interfaces,…

最优化与控制 · 数学 2014-04-17 Jianing V. Shi , Yangyang Xu , Richard G. Baraniuk

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

数值分析 · 数学 2024-12-24 Guy B. Oldaker , Maria Emelianenko

A well-known problem in numerical ecology is how to recombine presence-absence matrices without altering row and column totals. A few solutions have been proposed, but all of them present some issues in terms of statistical robustness (i.e.…

Motivated by emerging applications in wireless sensor networks and large-scale data processing, we consider distributed optimization over directed networks where the agents communicate their information locally to their neighbors to…

最优化与控制 · 数学 2021-03-22 Farzad Yousefian

The BiCluster Editing problem aims at editing a given bipartite graph into a disjoint union of bicliques via a minimum number of edge deletion or addition operations. As a graph-based model for data clustering, the problem aims at a…

数据结构与算法 · 计算机科学 2025-11-18 Faisal N. Abu-Khzam , Lucas Isenmann , Zeina Merchad

We consider the enumeration of maximal bipartite cliques (bicliques) from a large graph, a task central to many practical data mining problems in social network analysis and bioinformatics. We present novel parallel algorithms for the…

分布式、并行与集群计算 · 计算机科学 2014-04-22 Arko Provo Mukherjee , Srikanta Tirthapura

Scatterplots provide a visual representation of bivariate data (or 2D embeddings of multivariate data) that allows for effective analyses of data dependencies, clusters, trends, and outliers. Unfortunately, classical scatterplots suffer…

人机交互 · 计算机科学 2026-04-16 Hennes Rave , Vladimir Molchanov , Lars Linsen

We apply a simple clustering algorithm to a large dataset of cellular telecommunication records, reducing the complexity of mobile phone users' full trajectories and allowing for simple statistics to characterize their properties. For the…

数据分析、统计与概率 · 物理学 2009-11-05 James P. Bagrow , Tal Koren

In the last two decades several biclustering methods have been developed as new unsupervised learning techniques to simultaneously cluster rows and columns of a data matrix. These algorithms play a central role in contemporary machine…

统计方法学 · 统计学 2020-07-08 Jacopo Di Iorio , Francesca Chiaromonte , Marzia A. Cremona

The bandwidth of a kernel function is a crucial parameter in the mean shift algorithm. This paper proposes a novel adaptive bandwidth strategy which contains three main contributions. (1) The differences among different adaptive bandwidth…

计算机视觉与模式识别 · 计算机科学 2017-12-25 Fanyang Meng , Hong Liu , Yongsheng Liang , Wei Liu , Jihong Pei

We consider the distributed computing framework of MapReduce, which consists of three phases, the Map phase, the Shuffle phase and the Reduce phase. For this framework, we propose the use of binary matrices (with $0,1$ entries) called…

信息论 · 计算机科学 2020-02-03 Shailja Agrawal , Prasad Krishnan

Given a dataset of points in a metric space and an integer $k$, a diversity maximization problem requires determining a subset of $k$ points maximizing some diversity objective measure, e.g., the minimum or the average distance between two…

分布式、并行与集群计算 · 计算机科学 2017-01-24 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

Clustering is a crucial tool for analyzing data in virtually every scientific and engineering discipline. There are more scalable solutions framed to enable time and space clustering for the future large-scale data analyses. As a result,…

数据库 · 计算机科学 2023-08-23 D. D. D. Suribabu , T. Hitendra Sarma , B. Eswar Reddy

We propose a low-rank transformation-learning framework to robustify subspace clustering. Many high-dimensional data, such as face images and motion sequences, lie in a union of low-dimensional subspaces. The subspace clustering problem has…

计算机视觉与模式识别 · 计算机科学 2013-08-02 Qiang Qiu , Guillermo Sapiro

Co-Clustering, the problem of simultaneously identifying clusters across multiple aspects of a data set, is a natural generalization of clustering to higher-order structured data. Recent convex formulations of bi-clustering and tensor…

机器学习 · 统计学 2019-07-30 Michael Weylandt

Grouping elements into families to analyse them separately is a standard analysis procedure in many areas of sciences. We propose herein a new algorithm based on the simple idea that members from a family look like each other, and don't…

Data compression is a well-studied (and well-solved) problem in the setup of long coding blocks. But important emerging applications need to compress data to memory words of small fixed widths. This new setup is the subject of this paper.…

信息论 · 计算机科学 2017-01-12 Ori Rottenstreich , Yuval Cassuto

We propose a novel framework for fast integral operations by uncovering hidden geometries in the row and column structures of the underlying operators. This is accomplished through the \texttt{Questionnaire} algorithm, an iterative…

数值分析 · 数学 2026-02-27 Pei-Chun Su , Ronald R. Coifman

Finding (bi-)clusters in bipartite graphs is a popular data analysis approach. Analysts typically want to visualize the clusters, which is simple as long as the clusters are disjoint. However, many modern algorithms find overlapping…

机器学习 · 计算机科学 2023-07-17 Thibault Marette , Pauli Miettinen , Stefan Neumann

Co-clustering targets on grouping the samples (e.g., documents, users) and the features (e.g., words, ratings) simultaneously. It employs the dual relation and the bilateral information between the samples and features. In many realworld…

机器学习 · 计算机科学 2016-11-18 Ping Li , Jiajun Bu , Chun Chen , Zhanying He , Deng Cai