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» Computing the Dimension of Linear Subspaces
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CORR
2000
Springer
134views Education» more  CORR 2000»
15 years 3 months ago
Learning Complexity Dimensions for a Continuous-Time Control System
This paper takes a computational learning theory approach to a problem of linear systems identification. It is assumed that inputs are generated randomly from a known class consist...
Pirkko Kuusela, Daniel Ocone, Eduardo D. Sontag
125
Voted
ICML
2010
IEEE
15 years 4 months ago
Robust Subspace Segmentation by Low-Rank Representation
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 represe...
Guangcan Liu, Zhouchen Lin, Yong Yu
179
Voted
TSMC
2010
14 years 10 months ago
Distance Approximating Dimension Reduction of Riemannian Manifolds
We study the problem of projecting high-dimensional tensor data on an unspecified Riemannian manifold onto some lower dimensional subspace1 without much distorting the pairwise geo...
Changyou Chen, Junping Zhang, Rudolf Fleischer
135
Voted
ESA
2006
Springer
118views Algorithms» more  ESA 2006»
15 years 7 months ago
Subspace Sampling and Relative-Error Matrix Approximation: Column-Row-Based Methods
Much recent work in the theoretical computer science, linear algebra, and machine learning has considered matrix decompositions of the following form: given an m
Petros Drineas, Michael W. Mahoney, S. Muthukrishn...
140
Voted
SDM
2009
SIAM
184views Data Mining» more  SDM 2009»
16 years 29 days ago
DensEst: Density Estimation for Data Mining in High Dimensional Spaces.
Subspace clustering and frequent itemset mining via “stepby-step” algorithms that search the subspace/pattern lattice in a top-down or bottom-up fashion do not scale to large ...
Emmanuel Müller, Ira Assent, Ralph Krieger, S...