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Based on further studying the low-rank subspace clustering (LRSC) and L2-graph subspace clustering algorithms, we propose a F-graph subspace clustering algorithm with a symmetric constraint (FSSC), which constructs a new objective function…

Computer Vision and Pattern Recognition · Computer Science 2019-12-18 Kai Xu , Xiao-Jun Wu , Wen-Bo Hu

We discuss techniques of estimation and inference for nonstationary nonlinear cohort panels with learning from experience, showing, inter alia, the consistency and asymptotic normality of the nonlinear least squares estimator used in…

Econometrics · Economics 2025-01-07 Alexander Mayer , Michael Massmann

This paper considers the problem of clustering a collection of unlabeled data points assumed to lie near a union of lower-dimensional planes. As is common in computer vision or unsupervised learning applications, we do not know in advance…

Information Theory · Computer Science 2013-01-31 Mahdi Soltanolkotabi , Emmanuel J. Candés

Sparse subspace clustering (SSC) is an elegant approach for unsupervised segmentation if the data points of each cluster are located in linear subspaces. This model applies, for instance, in motion segmentation if some restrictions on the…

Machine Learning · Statistics 2018-02-12 Hanno Ackermann , Michael Ying Yang , Bodo Rosenhahn

A least squares semi-supervised local clustering algorithm based on the idea of compressed sensing is proposed to extract clusters from a graph with known adjacency matrix. The algorithm is based on a two-stage approach similar to the one…

Machine Learning · Computer Science 2022-11-01 Ming-Jun Lai , Zhaiming Shen

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

Machine Learning · Statistics 2012-03-07 Brian McWilliams , Giovanni Montana

Clustering can be defined as the process of assembling objects into a number of groups whose elements are similar to each other in some manner. As a technique that is used in many domains, such as face clustering, plant categorization,…

Machine Learning · Computer Science 2022-04-05 Mehmet F. Demirel , Enrico Au-Yeung

In the analysis of cluster data, the regression coefficients are frequently assumed to be the same across all clusters. This hampers the ability to study the varying impacts of factors on each cluster. In this paper, a semiparametric model…

Statistics Theory · Mathematics 2009-08-25 Wenyang Zhang , Jianqing Fan , Yan Sun

This paper studies estimation of panel cointegration models with cross-sectional dependence generated by unobserved global stochastic trends. The standard least squares estimator is, in general, inconsistent owing to the spuriousness…

Statistics Theory · Mathematics 2008-05-14 Jushan Bai , Chihwa Kao , Serena Ng

Micro-panel data are collected and analysed in many research and industry areas. Cluster analysis of micro-panel data is an unsupervised learning exploratory method identifying subgroup clusters in a data set which include homogeneous…

Machine Learning · Statistics 2018-07-17 Lukas Sobisek , Maria Stachova , Jan Fojtik

In this paper, we develop a method for unsupervised clustering of two-way (matrix) data by combining two recent innovations from different fields: the Sparse Subspace Clustering (SSC) algorithm [10], which groups points coming from a union…

Machine Learning · Computer Science 2015-02-24 Eric Kernfeld , Shuchin Aeron , Misha Kilmer

Sparse Subspace Clustering (SSC) has achieved state-of-the-art clustering quality by performing spectral clustering over a $\ell^{1}$-norm based similarity graph. However, SSC is a transductive method which does not handle with the data not…

Machine Learning · Computer Science 2014-09-11 Xi Peng , Lei Zhang , Zhang Yi

Subspace clustering, the task of clustering high dimensional data when the data points come from a union of subspaces is one of the fundamental tasks in unsupervised machine learning. Most of the existing algorithms for this task require…

Machine Learning · Statistics 2020-10-28 Vishnu Menon , Gokularam M , Sheetal Kalyani

We provide estimation methods for nonseparable panel models based on low-rank factor structure approximations. The factor structures are estimated by matrix-completion methods to deal with the computational challenges of principal component…

Econometrics · Economics 2021-03-05 Iván Fernández-Val , Hugo Freeman , Martin Weidner

This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

Statistics Theory · Mathematics 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

Clustering has long been a popular unsupervised learning approach to identify groups of similar objects and discover patterns from unlabeled data in many applications. Yet, coming up with meaningful interpretations of the estimated clusters…

Methodology · Statistics 2020-05-26 Minjie Wang , Tianyi Yao , Genevera I. Allen

Feature selection methods have an important role on the readability of data and the reduction of complexity of learning algorithms. In recent years, a variety of efforts are investigated on feature selection problems based on unsupervised…

Machine Learning · Computer Science 2019-12-12 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

Subspace clustering assumes that the data is sepa-rable into separate subspaces. Such a simple as-sumption, does not always hold. We assume that, even if the raw data is not separable into subspac-es, one can learn a representation…

Machine Learning · Computer Science 2019-12-11 Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux

We propose an effective subspace selection scheme as a post-processing step to improve results obtained by sparse subspace clustering (SSC). Our method starts by the computation of stable subspaces using a novel random sampling scheme. Thus…

Computer Vision and Pattern Recognition · Computer Science 2016-05-30 Duc-Son Pham , Ognjen Arandjelovic , Svetha Venkatesh

This paper introduces a straightforward sieve-based approach for estimating and conducting inference on regression parameters in panel data models with interactive fixed effects. The method's key assumption is that factor loadings can be…

Econometrics · Economics 2025-02-26 Georg Keilbar , Juan M. Rodriguez-Poo , Alexandra Soberon , Weining Wang