Estimation of Subspace Arrangements with Applications in Modeling and Segmenting Mixed Data

No abstract is available for this paper.

• Publication year

  2008

• Venue

  SIAM Review

• Publication date

  2008-08-01

• Fields of study

  Mathematics, Computer Science, Engineering

• Identifiers
  DOI 10.1137/060655523
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Segmentation of Multivariate Mixed Data via Lossy Data Coding and Compression

  2007cited by this paper
• Segmentation of multivariate mixed data via lossy coding and compression

  2007cited by this paper
• Robust Statistical Estimation and Segmentation of Multiple Subspaces

  2006cited by this paper
• For most large underdetermined systems of equations, the minimal 𝓁1‐norm near‐solution approximates the sparsest near‐solution

  2006cited by this paper
• Estimation of Subspace Arrangements: Its Algebra and Statistics

  2006cited by this paper
• For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution

  2006cited by this paper
• Robust Regression and Outlier Detection

  2005cited by this paper
• Generalized principal component analysis (GPCA)

  2005cited by this paper
• Two-view multibody structure-and-motion with outliers through model selection

  2005cited by this paper
• Segmentation of hybrid motions via hybrid quadratic surface analysis

  2005cited by this paper
• A multiscale hybrid linear model for lossy image representation

  2005cited by this paper
• Neighborly Polytopes And Sparse Solution Of Underdetermined Linear Equations

  2005cited by this paper
• Hilbert series of subspace arrangements

  2005cited by this paper
• Identification of Deterministic Switched ARX Systems via Identification of Algebraic Varieties

  2005cited by this paper
• Simultaneous two-view epipolar geometry estimation and motion segmentation by 4D tensor voting

  2004cited by this paper
• Subspace Arrangements Defined by Products of Linear Forms

  2004cited by this paper
• A Unified Algebraic Approach to 2-D and 3-D Motion Segmentation

  2004cited by this paper
• Identification of hybrid linear time-invariant systems via subspace embedding and segmentation (SES)

  2004cited by this paper
• A new GPCA algorithm for clustering subspaces by fitting, differentiating and dividing polynomials

  2004cited by this paper
• Principal Component Analysis

  2003influential reference
• Multi-stage Optimization for Multi-body Motion Segmentation

  2003cited by this paper
• Clustering appearances of objects under varying illumination conditions

  2003influential reference
• Model Selection for Geometric Inference

  2002influential reference
• Outlier removal for motion tracking by subspace separation

  2002influential reference
• Motion Segmentation by Subspace Separation: Model Selection and Reliability Evaluation

  2002cited by this paper
• Model Selection and the Principle of Minimum Description Length

  2001cited by this paper
• IMPSAC: Synthesis of Importance Sampling and Random Sample Consensus

  2000cited by this paper
• The Nature of Statistical Learning Theory

  2000cited by this paper
• A global geometric framework for nonlinear dimensionality reduction.

  2000cited by this paper
• Nonlinear dimensionality reduction by locally linear embedding.

  2000cited by this paper
• Some Comments on Cp

  2000cited by this paper
• Robust Parameter Estimation in Computer Vision

  1999cited by this paper
• A Multibody Factorization Method for Independently Moving Objects

  1998cited by this paper
• Geometric motion segmentation and model selection

  1998cited by this paper
• The Development and Comparison of Robust Methods for Estimating the Fundamental Matrix

  1997cited by this paper
• Emergence of simple-cell receptive field properties by learning a sparse code for natural images

  1996cited by this paper
• The EM algorithm and extensions

  1996cited by this paper
• Commutative Algebra: with a View Toward Algebraic Geometry

  1995cited by this paper
• INTRODUCTION TO ARRANGEMENTS (CBMS Regional Conference Series in Mathematics 72)

  1991cited by this paper
• Estimation of Planar Curves, Surfaces, and Nonplanar Space Curves Defined by Implicit Equations with Applications to Edge and Range Image Segmentation

  1991cited by this paper
• Introduction to arrangements

  1989cited by this paper
• Outliers in Statistical Data (2nd ed.)

  1986cited by this paper
• Robust Statistics—The Approach Based on Influence Functions

  1986influential reference
• Influence in principal components analysis

  1985influential reference
• Least Median of Squares Regression

  1984influential reference
• Fitting conic sections to "very scattered" data: An iterative refinement of the bookstein algorithm

  1982cited by this paper
• Least squares quantization in PCM

  1982cited by this paper
• Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography

  1981influential reference
• Robust Procedures in Multivariate Analysis I: Robust Covariance Estimation

  1980cited by this paper
• Outliers in Statistical Data

  1979cited by this paper
• The Influence Function as an Aid in Outlier Detection in Discriminant Analysis

  1978cited by this paper
• Modeling By Shortest Data Description*

  1978cited by this paper
• Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper

  1977cited by this paper
• A new look at the statistical model identification

  1974cited by this paper
• ROBUST ESTIMATES, RESIDUALS, AND OUTLIER DETECTION WITH MULTIRESPONSE DATA

  1972cited by this paper
• Numerical methods for computing angles between linear subspaces

  1971cited by this paper
• An Information Measure for Classification

  1968cited by this paper
• Some methods for classification and analysis of multivariate observations

  1967cited by this paper
• Multidimensional group analysis

  1966cited by this paper
• Cluster analysis of multivariate data : efficiency versus interpretability of classifications

  1965cited by this paper
• On the Rejection of Outliers

  1961cited by this paper

• Discriminative Latent-Space Learning for Fine-Grained Object Detection in Remote Sensing Images

  2025cites this paper
• From Individual to Universal: Regularized Multi-view Joint Representation for Multi-view Subspace-Preserving Recovery

  2025cites this paper
• Estimation of Algebraic Sets: Extending PCA Beyond Linearity

  2025cites this paper
• Efficient Algorithms for Sum-Of-Minimum Optimization

  2024cites this paper
• Metric Learning from Limited Pairwise Preference Comparisons

  2024cites this paper
• HARD: Hyperplane ARrangement Descent

  2024cites this paper
• Robust and stochastic sparse subspace clustering

  2024cites this paper
• Tensorized and Compressed Multi-View Subspace Clustering via Structured Constraint

  2024cites this paper
• Research on Enhancement of Curling Training and Decision-making through Independent Component Analysis

  2024cites this paper
• Nonconvex Multiview Subspace Clustering Framework with Efficient Method Designs and Theoretical Analysis

  2024cites this paper
• One-step subspace clustering based on adaptive graph regularization and correntropy induced metric

  2023cites this paper
• Adaptive Graph Convolutional Subspace Clustering

  2023cites this paper
• Robust Subspace Clustering by Logarithmic Hyperbolic Cosine Function

  2023cites this paper
• Kernel Block Diagonal Representation Subspace Clustering with Similarity Preservation

  2023cites this paper
• GLASS: A Graph Laplacian Autoencoder with Subspace Clustering Regularization for Graph Clustering

  2023cites this paper
• Affine Subspace Robust Low-Rank Self-Representation: From Matrix to Tensor

  2023cites this paper
• Block Coordinate Descent on Smooth Manifolds: Convergence Theory and Twenty-One Examples

  2023cites this paper
• Robust Sparse and Low-rank Subspace Clustering with Log-based Nonconvex Approximations

  2022cites this paper
• Learning Idempotent Representation for Subspace Clustering

  2022cites this paper
• Latent block diagonal representation for subspace clustering

  2022cites this paper
• Robust multi-view subspace clustering based on consensus representation and orthogonal diversity

  2022cites this paper
• Enriched Robust Multi-View Kernel Subspace Clustering

  2022cites this paper
• Pattern Recognition: 6th Asian Conference, ACPR 2021, Jeju Island, South Korea, November 9–12, 2021, Revised Selected Papers, Part I

  2022cites this paper
• Tensor Subspace Cluster

  2022cites this paper
• Weighted Schatten p-norm minimization with logarithmic constraint for subspace clustering

  2022cites this paper
• Subspace Segmentation by Low Rank Representation via the Sparse-prompting Quasi-rank Function

  2022cites this paper
• Multiview Common Subspace Clustering via Coupled Low Rank Representation

  2021cites this paper
• A Forward Backward Greedy approach for Sparse Multiscale Learning

  2021cites this paper
• Neural Ordinary Differential Equation Model for Evolutionary Subspace Clustering and Its Applications

  2021cites this paper
• Control Oriented Learning in the Era of Big Data

  2021cites this paper
• Subspace clustering via adaptive least square regression with smooth affinities

  2021cites this paper
• Subspace clustering via stacked independent subspace analysis networks with sparse prior information

  2021cites this paper
• WMLRR: A Weighted Multi-View Low Rank Representation to Identify Cancer Subtypes From Multiple Types of Omics Data

  2021cites this paper
• Simultaneous completion and spatiotemporal grouping of corrupted motion tracks

  2021cites this paper
• Self-Guided Deep Multiview Subspace Clustering via Consensus Affinity Regularization

  2021cites this paper
• Complete/incomplete multi-view subspace clustering via soft block-diagonal-induced regulariser

  2021cites this paper
• Estimation and clustering in popularity adjusted block model

  2021cites this paper
• Learning an Optimal Bipartite Graph for Subspace Clustering via Constrained Laplacian Rank

  2021cites this paper
• Linearization of resolutions via products

  2020cites this paper
• An Expression-Reinforced Sparse Subspace Clustering By Orthogonal Matching Pursuit

  2020cites this paper
• An Algebraic Approach to Efficient Identification of a Class of Wiener Systems

  2020cites this paper
• Neural Bayes: A Generic Parameterization Method for Unsupervised Representation Learning

  2020cites this paper
• Convex Subspace Clustering by Adaptive Block Diagonal Representation

  2020cites this paper
• Reweighted Non-convex Non-smooth Rank Minimization Based Spectral Clustering on Grassmann Manifold

  2020cites this paper
• The Hierarchy of Block Models

  2020cites this paper
• Kernel Two-Dimensional Ridge Regression for Subspace Clustering

  2020cites this paper
• Robust Multi-View Subspace Clustering Via Weighted Multi-Kernel Learning and Co-Regularization

  2020cites this paper
• A Unified Tensor Framework for Clustering and Simultaneous Reconstruction of Incomplete Imaging Data

  2020cites this paper
• Sparse Graph Connectivity for Image Segmentation

  2020cites this paper
• Prior Knowledge Regularized Multiview Self-Representation and its Applications

  2020cites this paper
• A Group Norm Regularized Factorization Model for Subspace Segmentation

  2020influential citation
• New Robust Principal Component Analysis for Joint Image Alignment and Recovery via Affine Transformations and Frobenius and L2, 1 Norms

  2020cites this paper
• Improvement of the Fast Clustering Algorithm Improved by K-Means in the Big Data

  2020cites this paper
• LRSK: a low-rank self-representation K-means method for clustering single-cell RNA-sequencing data.

  2020cites this paper
• Kernel Clustering On Symmetric Positive Definite Manifolds Via Double Approximated Low Rank Representation

  2020cites this paper
• Track-Before-Detect Framework-Based Vehicle Monocular Vision Sensors

  2019cites this paper
• Complex dynamic scene analysis through multi-body motion segmentation: application to intelligent vehicles. (Analyse de scènes dynamiques complexes par segmentation de mouvement : application aux véhicules intelligents)

  2019cites this paper
• Multi-Branch Context-Aware Network for Person Re-Identification

  2019cites this paper
• Efficient Identification of Error-in-Variables Switched Systems via a Sum-of-Squares Polynomial Based Subspace Clustering Method

  2019influential citation
• An ordered sparse subspace clustering algorithm based on p‐Norm

  2019cites this paper
• Neither Global Nor Local: A Hierarchical Robust Subspace Clustering For Image Data

  2019cites this paper
• Hybrid self-organizing feature map (SOM) for anomaly detection in cloud infrastructures using granular clustering based upon value-difference metrics

  2019cites this paper
• Subspace Clustering Under Complex Noise

  2019cites this paper
• Clustering with Jointly Learned Nonlinear Transforms Over Discriminating Min-Max Similarity/Dissimilarity Assignment

  2019cites this paper
• Subspace power method for symmetric tensor decomposition and generalized PCA

  2019influential citation
• Robust Image Recovery via Affine Transformation and $L_{2,1}$ Norm

  2019cites this paper
• Sparse Popularity Adjusted Stochastic Block Model

  2019cites this paper
• Data stream clustering and anomaly detection

  2019cites this paper
• Duet Robust Deep Subspace Clustering

  2019cites this paper
• Energy Minimization over m-Branched Enumeration for Generalized Linear Subspace Clustering

  2019cites this paper
• Minimal Sample Subspace Learning: Theory and Algorithms

  2019cites this paper
• Self-weighted Multi-view Subspace Clustering With Low Rank Tensor Constraint

  2019cites this paper
• Segmentation based Projected Clustering of Hyperspectral Images using Mutual Nearest Neighbour

  2019cites this paper
• Estimation and Clustering in Popularity Adjusted Stochastic Block Model

  2019cites this paper
• Graph constraint-based robust latent space low-rank and sparse subspace clustering

  2019cites this paper
• Double Nuclear Norm Based Low Rank Representation on Grassmann Manifolds for Clustering

  2019cites this paper
• Subspace segmentation via self-regularized latent K-means

  2019cites this paper
• Enhanced Streaming Based Subspace Clustering Applied to Acoustic Scene Data Clustering

  2019cites this paper
• Unsupervised Learning on Grassmann Manifolds for Big Data

  2019cites this paper
• Structured Sparse Subspace Clustering with Within-Cluster Grouping

  2018cites this paper
• Low Rank Representation on SPD matrices with Log-Euclidean metric

  2018cites this paper
• Approximate sparse spectral clustering based on local information maintenance for hyperspectral image classification

  2018cites this paper
• An Improved Structured Low-Rank Representation for Disjoint Subspace Segmentation

  2018cites this paper
• Discriminative and coherent subspace clustering

  2018cites this paper
• Learning algebraic varieties from samples

  2018cites this paper
• Scalable and Robust Sparse Subspace Clustering Using Randomized Clustering and Multilayer Graphs

  2018cites this paper
• The Grassmannian of affine subspaces

  2018cites this paper
• A General Framework for Understanding Compressed Subspace Clustering Algorithms

  2018cites this paper
• Rank-Constrained Block Diagonal Representation for Subspace Clustering

  2018cites this paper
• Sparse Methods for Learning Multiple Subspaces from Large-scale, Corrupted and Imbalanced Data

  2018cites this paper
• Structured Sparse Subspace Clustering with Grouping-Effect-Within-Cluster

  2018cites this paper
• Robust Subspace Clustering With Compressed Data

  2018cites this paper
• Localized LRR on Grassmann Manifold: An Extrinsic View

  2018cites this paper
• Subspace clustering based on latent low rank representation with Frobenius norm minimization

  2018cites this paper
• Tensor Methods for Nonlinear Matrix Completion

  2018cites this paper
• An inexact splitting method for the subspace segmentation from incomplete and noisy observations

  2018cites this paper
• SoS-RSC: A Sum-of-Squares Polynomial Approach to Robustifying Subspace Clustering Algorithms

  2018influential citation
• When to Learn What: Deep Cognitive Subspace Clustering

  2018cites this paper
• Robust subspace estimation via low-rank and sparse decomposition and applications in computer vision

  2018cites this paper
• Fast Abnormal Event Detection

  2018cites this paper