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» Ordinal Embedding: Approximation Algorithms and Dimensionali...
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AAAI
2010
13 years 4 months ago
Multilinear Maximum Distance Embedding Via L1-Norm Optimization
Dimensionality reduction plays an important role in many machine learning and pattern recognition tasks. In this paper, we present a novel dimensionality reduction algorithm calle...
Yang Liu, Yan Liu, Keith C. C. Chan
ICPR
2008
IEEE
14 years 2 months ago
Clustering-based locally linear embedding
The locally linear embedding (LLE) algorithm is considered as a powerful method for the problem of nonlinear dimensionality reduction. In this paper, first, a new method called cl...
Kanghua Hui, Chunheng Wang
SAC
2005
ACM
14 years 1 months ago
Estimating manifold dimension by inversion error
Video and image datasets can often be described by a small number of parameters, even though each image usually consists of hundreds or thousands of pixels. This observation is of...
Shawn Martin, Alex Bäcker
ICML
2006
IEEE
14 years 8 months ago
Robust Euclidean embedding
We derive a robust Euclidean embedding procedure based on semidefinite programming that may be used in place of the popular classical multidimensional scaling (cMDS) algorithm. We...
Lawrence Cayton, Sanjoy Dasgupta
STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 8 months ago
Lattice problems and norm embeddings
We present reductions from lattice problems in the 2 norm to the corresponding problems in other norms such as 1, (and in fact in any other p norm where 1 p ). We consider latt...
Oded Regev, Ricky Rosen