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» Linear-Space Algorithms for Distance Preserving Embedding
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ICALP
2001
Springer
14 years 28 days ago
Permutation Editing and Matching via Embeddings
Abstract. If the genetic maps of two species are modelled as permutations of (homologous) genes, the number of chromosomal rearrangements in the form of deletions, block moves, inv...
Graham Cormode, S. Muthukrishnan, Süleyman Ce...
PKDD
2010
Springer
179views Data Mining» more  PKDD 2010»
13 years 6 months ago
Learning an Affine Transformation for Non-linear Dimensionality Reduction
The foremost nonlinear dimensionality reduction algorithms provide an embedding only for the given training data, with no straightforward extension for test points. This shortcomin...
Pooyan Khajehpour Tadavani, Ali Ghodsi
TSMC
2010
13 years 3 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
MICCAI
2006
Springer
14 years 9 months ago
Logarithm Odds Maps for Shape Representation
The concept of the Logarithm of the Odds (LogOdds) is frequently used in areas such as artificial neural networks, economics, and biology. Here, we utilize LogOdds for a shape repr...
Kilian M. Pohl, John W. Fisher III, Martha Elizabe...
SODA
2007
ACM
106views Algorithms» more  SODA 2007»
13 years 9 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman