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» Linear Manifold Clustering
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81
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DAGM
2001
Springer
15 years 5 months ago
Points, Lines, and Planes and Their Optimal Estimation
Abstract. We present a method for estimating unknown geometric entities based on identical, incident, parallel or orthogonal observed entities. These entities can be points and lin...
Stephan Heuel
FOCM
2002
97views more  FOCM 2002»
15 years 13 days ago
On the Riemannian Geometry Defined by Self-Concordant Barriers and Interior-Point Methods
We consider the Riemannian geometry defined on a convex set by the Hessian of a selfconcordant barrier function, and its associated geodesic curves. These provide guidance for the...
Yu. E. Nesterov, Michael J. Todd
82
Voted
SIAMCO
2000
67views more  SIAMCO 2000»
15 years 13 days ago
On the Duality between Filtering and Nevanlinna--Pick Interpolation
Positive real rational functions play a central role in both deterministic and stochastic linear systems theory, as well as in circuit synthesis, spectral analysis, and speech proc...
Christopher I. Byrnes, Anders Lindquist
CDC
2010
IEEE
14 years 7 months ago
Stability robustness in the presence of exponentially unstable isolated equilibria
This note studies nonlinear systems evolving on manifolds with a finite number of asymptotically stable equilibria and a Lyapunov function which strictly decreases outside equilibr...
David Angeli, Laurent Praly
ICPR
2008
IEEE
16 years 1 months ago
Geodesic K-means clustering
We introduce a class of geodesic distances and extend the K-means clustering algorithm to employ this distance metric. Empirically, we demonstrate that our geodesic K-means algori...
Arian Maleki, Nima Asgharbeygi