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Model-based unsupervised learning, as any learning task, stalls as soon as missing data occurs. This is even more true when the missing data are informative, or said missing not at random (MNAR). In this paper, we propose model-based…

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

Sparse principal component analysis addresses the problem of finding a linear combination of the variables in a given data set with a sparse coefficients vector that maximizes the variability of the data. This model enhances the ability to…

最优化与控制 · 数学 2017-03-09 Amir Beck , Yakov Vaisbourd

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

机器学习 · 统计学 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

Causal discovery in the presence of missing data introduces a chicken-and-egg dilemma. While the goal is to recover the true causal structure, robust imputation requires considering the dependencies or, preferably, causal relations among…

机器学习 · 计算机科学 2024-06-04 Vy Vo , He Zhao , Trung Le , Edwin V. Bonilla , Dinh Phung

The large underlying assumption of climate models today relies on the basis of a "confident" initial condition, a reasonably plausible snapshot of the Earth for which all future predictions depend on. However, given the inherently chaotic…

应用统计 · 统计学 2025-06-03 Valerie Tsao , Nathaniel W. Chaney , Manolis Veveakis

Motivated by problems in data clustering, we establish general conditions under which families of nonparametric mixture models are identifiable, by introducing a novel framework involving clustering overfitted \emph{parametric} (i.e.…

统计理论 · 数学 2020-02-19 Bryon Aragam , Chen Dan , Eric P. Xing , Pradeep Ravikumar

Beyond existing multi-view clustering, this paper studies a more realistic clustering scenario, referred to as incomplete multi-view clustering, where a number of data instances are missing in certain views. To tackle this problem, we…

机器学习 · 计算机科学 2019-06-04 Hao Wang , Linlin Zong , Bing Liu , Yan Yang , Wei Zhou

This paper focuses on a data-rich environment where the data set has a very large cross-sectional dimension, is likely to exhibit local dependence, and yet is hard to determine the dependence ordering. Such a situation arises, for example,…

统计方法学 · 统计学 2018-07-03 Kyungchul Song

Successful applications of sparse models in computer vision and machine learning imply that in many real-world applications, high dimensional data is distributed in a union of low dimensional subspaces. Nevertheless, the underlying…

计算机视觉与模式识别 · 计算机科学 2014-04-22 Xiao Bian , Hamid Krim

Graph clustering is the problem of identifying sparsely connected dense subgraphs (clusters) in a given graph. Proposed clustering algorithms usually optimize various fitness functions that measure the quality of a cluster within the graph.…

计算复杂性 · 计算机科学 2007-05-23 Jiri Sima , Satu Elisa Schaeffer

Given a point set S and an unknown metric d on S, we study the problem of efficiently partitioning S into k clusters while querying few distances between the points. In our model we assume that we have access to one versus all queries that…

机器学习 · 计算机科学 2014-08-12 Konstantin Voevodski , Maria-Florina Balcan , Heiko Roglin , Shang-Hua Teng , Yu Xia

The statistical matching problem is a data integration problem with structured missing data. The general form involves the analysis of multiple datasets that only have a strict subset of variables jointly observed across all datasets. The…

统计方法学 · 统计学 2019-04-01 Daniel Ahfock , Saumyadipta Pyne , Geoffrey J. McLachlan

A mixture of multivariate contaminated normal (MCN) distributions is a useful model-based clustering technique to accommodate data sets with mild outliers. However, this model only works when fitted to complete data sets, which is often not…

统计方法学 · 统计学 2020-12-11 Hung Tong , Cristina Tortora

Problem statement: Clustering has a number of techniques that have been developed in statistics, pattern recognition, data mining, and other fields. Subspace clustering enumerates clusters of objects in all subspaces of a dataset. It tends…

数据库 · 计算机科学 2010-09-03 Rahmat Widia Sembiring , Jasni Mohamad Zain , Abdullah Embong

Many conventional statistical procedures are extremely sensitive to seemingly minor deviations from modeling assumptions. This problem is exacerbated in modern high-dimensional settings, where the problem dimension can grow with and…

机器学习 · 统计学 2017-02-27 Simon S. Du , Sivaraman Balakrishnan , Aarti Singh

We consider deterministic distributed communication in wireless ad hoc networks of identical weak devices under the SINR model without predefined infrastructure. Most algorithmic results in this model rely on various additional features or…

数据结构与算法 · 计算机科学 2018-01-15 Tomasz Jurdzinski , Dariusz R. Kowalski , Michal Rozanski , Grzegorz Stachowiak

Clustering methods are a valuable tool for the identification of patterns in high dimensional data with applications in many scientific problems. However, quantifying uncertainty in clustering is a challenging problem, particularly when…

统计方法学 · 统计学 2018-06-01 Marcio Valk , Gabriela Bettella Cybis

Real-world datasets often contain outliers, and the presence of outliers can make the clustering problems to be much more challenging. In this paper, we propose a simple uniform sampling framework for solving three representative…

机器学习 · 计算机科学 2023-10-04 Jiawei Huang , Wenjie Liu , Hu Ding

Matrix valued data has become increasingly prevalent in many applications. Most of the existing clustering methods for this type of data are tailored to the mean model and do not account for the dependence structure of the features, which…

机器学习 · 统计学 2023-12-07 Inbeom Lee , Siyi Deng , Yang Ning
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