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» Embedding a set of rational points in lower dimensions
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BMVC
2010
13 years 6 months ago
Iterative Hyperplane Merging: A Framework for Manifold Learning
We present a framework for the reduction of dimensionality of a data set via manifold learning. Using the building blocks of local hyperplanes we show how a global manifold can be...
Harry Strange, Reyer Zwiggelaar
FOCS
2006
IEEE
14 years 2 months ago
Algorithms on negatively curved spaces
d abstract] Robert Krauthgamer ∗ IBM Almaden James R. Lee † Institute for Advanced Study We initiate the study of approximate algorithms on negatively curved spaces. These spa...
Robert Krauthgamer, James R. Lee
CORR
2011
Springer
243views Education» more  CORR 2011»
13 years 3 months ago
Localization from Incomplete Noisy Distance Measurements
—We consider the problem of positioning a cloud of points in the Euclidean space Rd , from noisy measurements of a subset of pairwise distances. This task has applications in var...
Adel Javanmard, Andrea Montanari
OL
2008
79views more  OL 2008»
13 years 8 months ago
A simpler and tighter redundant Klee-Minty construction
By introducing redundant Klee-Minty examples, we have previously shown that the central path can be bent along the edges of the Klee-Minty cubes, thus having 2n - 2 sharp turns in...
Eissa Nematollahi, Tamás Terlaky
DAGM
2010
Springer
13 years 9 months ago
Gaussian Mixture Modeling with Gaussian Process Latent Variable Models
Density modeling is notoriously difficult for high dimensional data. One approach to the problem is to search for a lower dimensional manifold which captures the main characteristi...
Hannes Nickisch, Carl Edward Rasmussen