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FOCM
2008
100views more  FOCM 2008»
13 years 11 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
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 ...
FOCM
2008
56views more  FOCM 2008»
13 years 11 months ago
Primal Central Paths and Riemannian Distances for Convex Sets
Yurii Nesterov, Arkadi Nemirovski
FOCM
2008
77views more  FOCM 2008»
13 years 11 months ago
Modular Counting of Rational Points over Finite Fields
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
FOCM
2008
59views more  FOCM 2008»
13 years 11 months ago
Semidefinite Characterization and Computation of Zero-Dimensional Real Radical Ideals
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...
FOCM
2008
68views more  FOCM 2008»
13 years 11 months ago
Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields
Robert I. McLachlan, Hans Z. Munthe-Kaas, G. R. W....
FOCM
2008
76views more  FOCM 2008»
13 years 11 months ago
On Smale's 17th Problem: A Probabilistic Positive Solution
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
FOCM
2008
140views more  FOCM 2008»
13 years 11 months ago
Online Gradient Descent Learning Algorithms
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
FOCM
2008
76views more  FOCM 2008»
13 years 11 months ago
Point Counting in Families of Hyperelliptic Curves
Let
Hendrik Hubrechts
FOCM
2008
65views more  FOCM 2008»
13 years 11 months ago
The Polynomial Method for Random Matrices
N. Raj Rao, Alan Edelman