FOCM 2008 | Sciweavers

14

FOCM
2008

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A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds

13 years 4 months ago

We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...

Felipe Alvarez, Jérôme Bolte, Julien ...

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FOCM
2008

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Primal Central Paths and Riemannian Distances for Convex Sets

13 years 4 months ago

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Yurii Nesterov, Arkadi Nemirovski

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7

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FOCM
2008

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Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation

13 years 4 months ago

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Elena Celledoni, David Cohen, Brynjulf Owren

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12

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FOCM
2008

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Modular Counting of Rational Points over Finite Fields

13 years 4 months ago

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Let Fq be the finite field of q elements, where q = ph. Let f(x) be a polynomial over Fq in n variables with m non-zero terms. Let N(f) denote the number of solutions of f(x) = 0 ...

Daqing Wan

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10

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FOCM
2008

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Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals

13 years 4 months ago

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For an ideal I R[x] given by a set of generators, a new semidefinite characterization of its real radical I(VR(I)) is presented, provided it is zero-dimensional (even if I is not...

Jean B. Lasserre, Monique Laurent, Philipp Rostals...

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8

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FOCM
2008

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Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields

13 years 4 months ago

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Robert I. McLachlan, Hans Z. Munthe-Kaas, G. R. W....

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FOCM
2008

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On Smale's 17th Problem: A Probabilistic Positive Solution

13 years 4 months ago

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Smale's 17th Problem asks "Can a zero of n complex polynomial equations in n unknowns be found approximately, on the average [for a suitable probability measure on the s...

Carlos Beltrán, Luis Miguel Pardo

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FOCM
2008

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Online Gradient Descent Learning Algorithms

13 years 4 months ago

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This paper considers the least-square online gradient descent algorithm in a reproducing kernel Hilbert space (RKHS) without explicit regularization. We present a novel capacity i...

Yiming Ying, Massimiliano Pontil

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FOCM
2008

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Point Counting in Families of Hyperelliptic Curves

13 years 4 months ago

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Let

Hendrik Hubrechts