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» The Accelerated Euclidean Algorithm
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MICCAI
2006
Springer
16 years 2 days ago
A Log-Euclidean Framework for Statistics on Diffeomorphisms
In this article, we focus on the computation of statistics of invertible geometrical deformations (i.e., diffeomorphisms), based on the generalization to this type of data of the n...
Vincent Arsigny, Olivier Commowick, Xavier Pennec,...
ASC
2007
14 years 11 months ago
Unsupervised learning with normalised data and non-Euclidean norms
The measurement of distance is one of the key steps in the unsupervised learning process, as it is through these distance measurements that patterns and correlations are discovere...
Kevin Doherty, Rod Adams, Neil Davey
RECSYS
2010
ACM
14 years 11 months ago
Collaborative filtering via euclidean embedding
Recommendation systems suggest items based on user preferences. Collaborative filtering is a popular approach in which recommending is based on the rating history of the system. O...
Mohammad Khoshneshin, W. Nick Street
TPHOL
2005
IEEE
15 years 4 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
COMPGEOM
2008
ACM
15 years 28 days ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot