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FOCM
2008
88views more  FOCM 2008»
13 years 10 months ago
Convergence of the Magnus Series
The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals...
Per Christian Moan, Jitse Niesen
FOCM
2006
87views more  FOCM 2006»
13 years 11 months ago
Index Pairs Algorithms
We introduce some modifications and extensions of the concept od index pair in the Conley index theory. We then show how these concepts may be used to overcome some difficulties in...
Marian Mrozek
FOCM
2006
76views more  FOCM 2006»
13 years 11 months ago
The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series
We present an approach that allows performing computations related to the Baker-Campbell-Haussdorff (BCH) formula and its generalizations in an arbitrary Hall basis, using labeled...
A. Murua
FOCM
2006
97views more  FOCM 2006»
13 years 11 months ago
Learning Rates of Least-Square Regularized Regression
This paper considers the regularized learning algorithm associated with the leastsquare loss and reproducing kernel Hilbert spaces. The target is the error analysis for the regres...
Qiang Wu, Yiming Ying, Ding-Xuan Zhou
FOCM
2006
65views more  FOCM 2006»
13 years 11 months ago
Approximation Methods for Supervised Learning
Let be an unknown Borel measure defined on the space Z := X
Ronald A. DeVore, Gerard Kerkyacharian, Dominique ...
FOCM
2006
51views more  FOCM 2006»
13 years 11 months ago
Overdetermined Elliptic Systems
Abstract We consider linear overdetermined systems of partial differential equa
Katsiaryna Krupchyk, Werner M. Seiler, Jukka Tuome...
FOCM
2006
59views more  FOCM 2006»
13 years 11 months ago
Newton-Hensel Interpolation Lifting
The main result of this paper is a new version of Newton-Hensel lifting that relates to interpolation questions. It allows one to lift polynomials in Z[x] from information modulo a...
Martin Avendano, Teresa Krick, Ariel Pacetti
FOCM
2006
50views more  FOCM 2006»
13 years 11 months ago
Online Learning Algorithms
In this paper, we study an online learning algorithm in Reproducing Kernel Hilbert Spaces (RKHS) and general Hilbert spaces. We present a general form of the stochastic gradient m...
Steve Smale, Yuan Yao
FOCM
2006
59views more  FOCM 2006»
13 years 11 months ago
Hyperbolic Programs, and Their Derivative Relaxations
We study the algebraic and facial structures of hyperbolic programs, and examine natural relaxations of hyperbolic programs, the relaxations themselves being hyperbolic programs.
James Renegar