An overview of robust subspace recovery

G Lerman, T Maunu - Proceedings of the IEEE, 2018 - ieeexplore.ieee.org
This paper will serve as an introduction to the body of work on robust subspace recovery.
Robust subspace recovery involves finding an underlying low-dimensional subspace in a …

Robust recovery of subspace structures by low-rank representation

G Liu, Z Lin, S Yan, J Sun, Y Yu… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
In this paper, we address the subspace clustering problem. Given a set of data samples
(vectors) approximately drawn from a union of multiple subspaces, our goal is to cluster the …

[PDF][PDF] Robust subspace segmentation by low-rank representation

G Liu, Z Lin, Y Yu - … of the 27th international conference on …, 2010 - zhouchenlin.github.io
We propose low-rank representation (LRR) to segment data drawn from a union of multiple
linear (or affine) subspaces. Given a set of data vectors, LRR seeks the lowestrank …

Subspace clustering

R Vidal - IEEE Signal Processing Magazine, 2011 - ieeexplore.ieee.org
Over the past few decades, significant progress has been made in clustering high-
dimensional data sets distributed around a collection of linear and affine subspaces. This …

Low rank subspace clustering (LRSC)

R Vidal, P Favaro - Pattern Recognition Letters, 2014 - Elsevier
We consider the problem of fitting a union of subspaces to a collection of data points drawn
from one or more subspaces and corrupted by noise and/or gross errors. We pose this …

Scalable sparse subspace clustering by orthogonal matching pursuit

C You, D Robinson, R Vidal - Proceedings of the IEEE …, 2016 - openaccess.thecvf.com
Subspace clustering methods based on ell_1, l_2 or nuclear norm regularization have
become very popular due to their simplicity, theoretical guarantees and empirical success …

Structured sparse subspace clustering: A joint affinity learning and subspace clustering framework

CG Li, C You, R Vidal - IEEE Transactions on Image …, 2017 - ieeexplore.ieee.org
Subspace clustering refers to the problem of segmenting data drawn from a union of
subspaces. State-of-the-art approaches for solving this problem follow a two-stage …

A geometric analysis of subspace clustering with outliers

M Soltanolkotabi, EJ Candes - 2012 - projecteuclid.org
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 …

Structured sparse subspace clustering: A unified optimization framework

CG Li, R Vidal - Proceedings of the IEEE conference on computer …, 2015 - cv-foundation.org
Subspace clustering refers to the problem of segmenting data drawn from a union of
subspaces. State of the art approaches for solving this problem follow a two-stage approach …

Motion segmentation in the presence of outlying, incomplete, or corrupted trajectories

S Rao, R Tron, R Vidal, Y Ma - IEEE transactions on pattern …, 2009 - ieeexplore.ieee.org
In this paper, we study the problem of segmenting tracked feature point trajectories of
multiple moving objects in an image sequence. Using the affine camera model, this problem …