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SIAMMAX
2011
141views more  SIAMMAX 2011»
12 years 10 months ago
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme
Higher-order tensors are used in many application fields, such as statistics, signal processing, and scientific computing. Efficient and reliable algorithms for manipulating thes...
Mariya Ishteva, Pierre-Antoine Absil, Sabine Van H...
IJON
2002
88views more  IJON 2002»
13 years 7 months ago
Curved feature metrics in models of visual cortex
We study the relation between maps of a high-dimensional stimulus manifold onto an essentially two-dimensional cortical area and low-dimensional maps of stimulus features such as ...
Norbert Michael Mayer, J. Michael Herrmann, Theo G...
IDEAL
2005
Springer
14 years 1 months ago
Bearing Similarity Measures for Self-organizing Feature Maps
The neural representation of space in rats has inspired many navigation systems for robots. In particular, Self-Organizing (Feature) Maps (SOM) are often used to give a sense of lo...
Narongdech Keeratipranon, Frédéric M...
DM
2000
88views more  DM 2000»
13 years 7 months ago
Edge isoperimetric inequalities for product graphs
It is well known that there is a simple equivalence between isoperimetric inequalities and certain analytic inequalities in Riemannian manifolds (see Rothaus, J. Funct. Anal. 64 (...
Jean-Pierre Tillich
SIAMIS
2011
13 years 2 months ago
A New Geometric Metric in the Space of Curves, and Applications to Tracking Deforming Objects by Prediction and Filtering
We define a novel metric on the space of closed planar curves which decomposes into three intuitive components. According to this metric centroid translations, scale changes and ...
Ganesh Sundaramoorthi, Andrea Mennucci, Stefano So...