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» Laplace-Beltrami Eigenfunctions Towards an Algorithm That
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SMI
2006
IEEE
135views Image Analysis» more  SMI 2006»
13 years 11 months ago
Laplace-Beltrami Eigenfunctions Towards an Algorithm That "Understands" Geometry
One of the challenges in geometry processing is to automatically reconstruct a higher-level representation from raw geometric data. For instance, computing a parameterization of a...
Bruno Lévy
MICCAI
2009
Springer
14 years 6 months ago
Cortical Shape Analysis in the Laplace-Beltrami Feature Space
For the automated analysis of cortical morphometry, it is critical to develop robust descriptions of the position of anatomical structures on the convoluted cortex. Using the eigen...
Yonggang Shi, Ivo D. Dinov, Arthur W. Toga
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 4 months ago
Discrete Laplace-Beltrami Operator Determines Discrete Riemannian Metric
The Laplace-Beltrami operator of a smooth Riemannian manifold is determined by the Riemannian metric. Conversely, the heat kernel constructed from its eigenvalues and eigenfunctio...
Xianfeng David Gu, Ren Guo, Feng Luo 0002, Wei Zen...
COLT
2005
Springer
13 years 11 months ago
Towards a Theoretical Foundation for Laplacian-Based Manifold Methods
In recent years manifold methods have attracted a considerable amount of attention in machine learning. However most algorithms in that class may be termed “manifold-motivatedâ€...
Mikhail Belkin, Partha Niyogi
ICML
2005
IEEE
14 years 6 months ago
Proto-value functions: developmental reinforcement learning
This paper presents a novel framework called proto-reinforcement learning (PRL), based on a mathematical model of a proto-value function: these are task-independent basis function...
Sridhar Mahadevan