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» Hierarchical Structuring of Data on Manifolds
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BMCBI
2011
12 years 11 months ago
Clustering gene expression data with a penalized graph-based metric
Background: The search for cluster structure in microarray datasets is a base problem for the so-called “-omic sciences”. A difficult problem in clustering is how to handle da...
Ariel E. Bayá, Pablo M. Granitto
AAAI
2010
13 years 9 months ago
Interactive Learning Using Manifold Geometry
We present an interactive learning method that enables a user to iteratively refine a regression model. The user examines the output of the model, visualized as the vertical axis ...
Eric Eaton, Gary Holness, Daniel McFarlane
DGCI
2000
Springer
13 years 12 months ago
A New Means for Investigating 3-Manifolds
The paper presents a new method of investigating topological properties of three-dimensional manifolds by means of computers. Manifolds are represented as finite cell complexes. Th...
Vladimir Kovalevsky
IJON
2010
120views more  IJON 2010»
13 years 6 months ago
Semi-supervised learning with varifold Laplacians
This paper presents varifold learning, a learning framework based on the mathematical concept of varifolds. Different from manifold based methods, our varifold learning framework ...
Lei Ding, Peibiao Zhao
ISNN
2007
Springer
14 years 1 months ago
Extensions of Manifold Learning Algorithms in Kernel Feature Space
Manifold learning algorithms have been proven to be capable of discovering some nonlinear structures. However, it is hard for them to extend to test set directly. In this paper, a ...
Yaoliang Yu, Peng Guan, Liming Zhang