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AAAI
2012
11 years 10 months ago
Manifold Warping: Manifold Alignment over Time
Knowledge transfer is computationally challenging, due in part to the curse of dimensionality, compounded by source and target domains expressed using different features (e.g., do...
Hoa Trong Vu, Clifton Carey, Sridhar Mahadevan
JMIV
2008
69views more  JMIV 2008»
13 years 7 months ago
Transport of Relational Structures in Groups of Diffeomorphisms
This paper focuses on the issue of translating the relative variation of one shape with respect to another in a template centered representation. The context is the theory of Diffe...
Laurent Younes, Anqi Qiu, Raimond L. Winslow, Mich...
ICIP
2008
IEEE
14 years 1 months ago
Effects of curvature on the analysis of landmark shape manifolds
Shape spaces can be endowed with the structure of Riemannian manifolds; this allows one to compute, for example, Euler-Lagrange equations and geodesic distance for such spaces. Un...
Mario Micheli
PR
2007
141views more  PR 2007»
13 years 7 months ago
A Riemannian approach to graph embedding
In this paper, we make use of the relationship between the Laplace–Beltrami operator and the graph Laplacian, for the purposes of embedding a graph onto a Riemannian manifold. T...
Antonio Robles-Kelly, Edwin R. Hancock
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 6 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...