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» Random Projections for Manifold Learning
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UAI
2000
13 years 11 months ago
Experiments with Random Projection
Recent theoretical work has identified random projection as a promising dimensionality reduction technique for learning mixtures of Gaussians. Here we summarize these results and ...
Sanjoy Dasgupta
ICRA
2009
IEEE
182views Robotics» more  ICRA 2009»
14 years 4 months ago
Manipulation planning on constraint manifolds
Abstract— We present the Constrained Bi-directional RapidlyExploring Random Tree (CBiRRT) algorithm for planning paths in configuration spaces with multiple constraints. This al...
Dmitry Berenson, Siddhartha S. Srinivasa, Dave Fer...
COMPGEOM
2010
ACM
14 years 1 months ago
Manifold reconstruction using tangential Delaunay complexes
We give a provably correct algorithm to reconstruct a kdimensional manifold embedded in d-dimensional Euclidean space. Input to our algorithm is a point sample coming from an unkn...
Jean-Daniel Boissonnat, Arijit Ghosh
ICANN
2009
Springer
14 years 4 months ago
Almost Random Projection Machine
Backpropagation of errors is not only hard to justify from biological perspective but also it fails to solve problems requiring complex logic. A simpler algorithm based on generati...
Wlodzislaw Duch, Tomasz Maszczyk
AAAI
2007
14 years 4 days ago
Manifold Denoising as Preprocessing for Finding Natural Representations of Data
A natural representation of data is given by the parameters which generated the data. If the space of parameters is continuous, then we can regard it as a manifold. In practice, w...
Matthias Hein, Markus Maier