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    FOCM
    2007
    94views more  FOCM 2007»
    Trust-Region Methods on Riemannian Manifolds
    13 years 11 months ago
    Trust-Region Methods on Riemannian Manifolds
    Download  www.inma.ucl.ac.be
    A general scheme for trust-region methods on Riemannian manifolds is proposed and analyzed. Among the various approaches available to (approximately) solve the trust-region subpro...
    Pierre-Antoine Absil, C. G. Baker, Kyle A. Galliva...
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    FOCM
    2007
    83views more  FOCM 2007»
    Filled Julia Sets with Empty Interior Are Computable
    13 years 11 months ago
    Filled Julia Sets with Empty Interior Are Computable
    Download  www.math.toronto.edu
    We show that if a polynomial filled Julia set has empty interior, then it is computable.
    Ilia Binder, Mark Braverman, Michael Yampolsky
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    FOCM
    2007
    54views more  FOCM 2007»
    Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions
    13 years 11 months ago
    Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions
    Download  www4.ncsu.edu
    We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise t...
    Evelyne Hubert, Irina A. Kogan
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    FOCM
    2007
    76views more  FOCM 2007»
    Risk Bounds for Random Regression Graphs
    13 years 11 months ago
    Risk Bounds for Random Regression Graphs
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    We consider the regression problem and describe an algorithm approximating the regression function by estimators piecewise constant on the elements of an adaptive partition. The pa...
    Andrea Caponnetto, Steve Smale
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    FOCM
    2007
    48views more  FOCM 2007»
    Finiteness Theorems in Stochastic Integer Programming
    13 years 11 months ago
    Finiteness Theorems in Stochastic Integer Programming
    Download  www.math.ucla.edu
    Matthias Aschenbrenner, Raymond Hemmecke
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    FOCM
    2007
    76views more  FOCM 2007»
    The Complexity of Computing the Hilbert Polynomial of Smooth Equidimensional Complex Projective Varieties
    13 years 11 months ago
    The Complexity of Computing the Hilbert Polynomial of Smooth Equidimensional Complex Projective Varieties
    Download  math-www.uni-paderborn.de
    Peter Bürgisser, Martin Lotz
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    FOCM
    2007
    48views more  FOCM 2007»
    Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace
    13 years 11 months ago
    Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace
    Download  www.math.lsa.umich.edu
    Abstract. We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in Rn and related problems of complex integration and opt...
    Alexander I. Barvinok
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    FOCM
    2007
    55views more  FOCM 2007»
    On Location and Approximation of Clusters of Zeros: Case of Embedding Dimension One
    13 years 11 months ago
    On Location and Approximation of Clusters of Zeros: Case of Embedding Dimension One
    Download  algo.inria.fr
    Isolated multiple zeros or clusters of zeros of analytic maps with several variables are known to be difficult to locate and approximate. This article is in the vein of the α-theo...
    Marc Giusti, Grégoire Lecerf, Bruno Salvy, ...
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