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The goal of co-clustering is to simultaneously identify a clustering of rows as well as columns of a two dimensional data matrix. A number of co-clustering techniques have been proposed including information-theoretic co-clustering and the…

机器学习 · 计算机科学 2020-04-27 Joyce Jiyoung Whang , Inderjit S. Dhillon

Consider a data set collected by (individuals-features) pairs in different times. It can be represented as a tensor of three dimensions (Individuals, features and times). The tensor biclustering problem computes a subset of individuals and…

机器学习 · 计算机科学 2019-03-12 Andriantsiory Dina Faneva , Mustapha Lebbah , Hanane Azzag , Gaël Beck

Biclustering structures in data matrices were first formalized in a seminal paper by John Hartigan (1972) where one seeks to cluster cases and variables simultaneously. Such structures are also prevalent in block modeling of networks. In…

统计理论 · 数学 2018-10-24 Chao Gao , Yu Lu , Zongming Ma , Harrison H. Zhou

Many discrete optimization problems are amenable to constrained shortest-path reformulations in an extended network space, a technique that has been key in convexification, bound strengthening, and search. In this paper, we propose a…

最优化与控制 · 数学 2024-07-09 Leonardo Lozano , David Bergman , Andre A. Cire

In this paper, we present a novel method for co-clustering, an unsupervised learning approach that aims at discovering homogeneous groups of data instances and features by grouping them simultaneously. The proposed method uses the entropy…

机器学习 · 统计学 2017-05-22 Charlotte Laclau , Ievgen Redko , Basarab Matei , Younès Bennani , Vincent Brault

K-Means clustering still plays an important role in many computer vision problems. While the conventional Lloyd method, which alternates between centroid update and cluster assignment, is primarily used in practice, it may converge to a…

计算机视觉与模式识别 · 计算机科学 2018-10-30 Huu Le , Anders Eriksson , Thanh-Toan Do , Michael Milford

Upon a matrix representation of a binary bipartite network, via the permutation invariance, a coupling geometry is computed to approximate the minimum energy macrostate of a network's system. Such a macrostate is supposed to constitute the…

应用统计 · 统计学 2018-02-02 Jiahui Guan , Hsieh Fushing

Krylov subspace recycling is a process for accelerating the convergence of sequences of linear systems. Based on this technique, the recycling BiCG algorithm has been developed recently. Here, we now generalize and extend this recycling…

数值分析 · 数学 2015-01-27 Kapil Ahuja , Peter Benner , Eric de Sturler , Lihong Feng

Submodular functions and their optimization have found applications in diverse settings ranging from machine learning and data mining to game theory and economics. In this work, we consider the constrained maximization of a submodular…

数据结构与算法 · 计算机科学 2025-07-15 Moran Feldman , Alan Kuhnle

The availability of large microarray data has led to a growing interest in biclustering methods in the past decade. Several algorithms have been proposed to identify subsets of genes and conditions according to different similarity measures…

机器学习 · 统计学 2018-09-21 Amichai Painsky

We present a novel clustering approach for moving object trajectories that are constrained by an underlying road network. The approach builds a similarity graph based on these trajectories then uses modularity-optimization hiearchical graph…

机器学习 · 统计学 2012-10-08 Mohamed Khalil El Mahrsi , Fabrice Rossi

There are various approaches to graph learning for data clustering, incorporating different spectral and structural constraints through diverse graph structures. Some methods rely on bipartite graph models, where nodes are divided into two…

机器学习 · 计算机科学 2025-05-14 Amirhossein Javaheri , Daniel P. Palomar

Rapid urbanization places increasing stress on already burdened transportation systems, resulting in delays and poor levels of service. Billions of spatiotemporal call detail records (CDRs) collected from mobile devices create new…

物理与社会 · 物理学 2014-03-05 Jameson L. Toole , Serdar Colak , Fahad Alhasoun , Alexandre Evsukoff , Marta C. Gonzalez

This letter presents a new spectral-clustering-based approach to the subspace clustering problem. Underpinning the proposed method is a convex program for optimal direction search, which for each data point d finds an optimal direction in…

计算机视觉与模式识别 · 计算机科学 2017-11-28 Mostafa Rahmani , George Atia

We propose two approaches for selecting variables in latent class analysis (i.e.,mixture model assuming within component independence), which is the common model-based clustering method for mixed data. The first approach consists in…

统计计算 · 统计学 2017-03-08 Matthieu Marbac , Mohammed Sedki

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

机器学习 · 计算机科学 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo

We propose a new approach to linear ill-posed inverse problems. Our algorithm alternates between enforcing two constraints: the measurements and the statistical correlation structure in some transformed space. We use a non-linear multiscale…

计算工程、金融与科学 · 计算机科学 2018-12-04 Ivan Dokmanić , Joan Bruna , Stéphane Mallat , Maarten de Hoop

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

机器学习 · 计算机科学 2021-10-04 Shahana Ibrahim , Xiao Fu

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

计算机视觉与模式识别 · 计算机科学 2014-03-11 Qiang Qiu , Guillermo Sapiro

Clustering large, mixed data is a central problem in data mining. Many approaches adopt the idea of k-means, and hence are sensitive to initialisation, detect only spherical clusters, and require a priori the unknown number of clusters. We…

机器学习 · 统计学 2020-11-13 Joshua Tobin , Mimi Zhang