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MOR
2008
110views more  MOR 2008»
13 years 5 months ago
Alternating Projections on Manifolds
We prove that if two smooth manifolds intersect transversally, then the method of alternating projections converges locally at a linear rate. We bound the speed of convergence in ...
Adrian S. Lewis, Jérôme Malick
MOR
2008
73views more  MOR 2008»
13 years 5 months ago
Separation of Nonconvex Sets with General Augmenting Functions
In this paper, we consider two geometric optimization problems that are dual to each other and characterize conditions under which the optimal values of the two problems are equal...
Angelia Nedic, Asuman E. Ozdaglar
MOR
2010
120views more  MOR 2010»
13 years 3 months ago
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz In
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: L(x, y) = f(x)+Q(x, y)+g(y), where f : Rn → ...
Hedy Attouch, Jérôme Bolte, Patrick R...
MICCAI
2000
Springer
13 years 8 months ago
Modifying Soft Tissue Models: Progressive Cutting with Minimal New Element Creation
Surgical simulation is a promising technology for training medical students and planning procedures. One major requirement for these simulation systems is a method to generate real...
Andrew B. Mor, Takeo Kanade
IPL
2000
74views more  IPL 2000»
13 years 5 months ago
A new universal and fault-tolerant quantum basis
A novel universal and fault-tolerant basis (set of gates) for quantum computation is described. Such a set is necessary to perform quantum computation in a realistic noisy environ...
P. Oscar Boykin, Tal Mor, Matthew Pulver, Vwani P....