Filtrated Algebraic Subspace Clustering

DOI10.1137/16M1083451zbMath1364.13027arXiv1506.06289OpenAlexW2964169360MaRDI QIDQ5266379

René Victor Valqui Vidal, Manolis C. Tsakiris

Publication date: 2 June 2017

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06289

zbMATH Keywords

subspace arrangementsspectral clusteringsubspace clusteringtransversal subspacesgeneralized principal component analysisalgebraic subspace clustering

Mathematics Subject Classification ID

Pattern recognition, speech recognition (68T10) Special varieties (14M99) Polynomials, factorization in commutative rings (13P05) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (5)

Resolution of ideals associated to subspace arrangements ⋮ Similarity matrix framework for data from union of subspaces ⋮ Linearization of resolutions via products ⋮ Tensor Methods for Nonlinear Matrix Completion ⋮ Filtrated Algebraic Subspace Clustering

Uses Software

• PHSVDS

Cites Work

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• Hilbert series of subspace arrangements
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• Nearest \(q\)-flat to \(m\) points
• \(k\)-plane clustering
• Castelnuovo-Mumford regularity of products of ideals
• A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements.
• A geometric analysis of subspace clustering with outliers
• Robust subspace clustering
• Computing singular values of large matrices with an inverse-free preconditioned Krylov subspace method
• Generalized principal component analysis
• Two-view multibody structure from motion
• A Preconditioned Hybrid SVD Method for Accurately Computing Singular Triplets of Large Matrices
• Estimation of Subspace Arrangements with Applications in Modeling and Segmenting Mixed Data
• Multiple View Geometry in Computer Vision
• Filtrated Algebraic Subspace Clustering
• Hybrid Systems: Computation and Control

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