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SIAMMAX
2010
189views more  SIAMMAX 2010»
14 years 8 months ago
Fast Algorithms for the Generalized Foley-Sammon Discriminant Analysis
Linear Discriminant Analysis (LDA) is one of the most popular approaches for feature extraction and dimension reduction to overcome the curse of the dimensionality of the high-dime...
Lei-Hong Zhang, Li-Zhi Liao, Michael K. Ng
SIAMSC
2010
134views more  SIAMSC 2010»
14 years 11 months ago
Moving Least Squares via Orthogonal Polynomials
A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient ...
Michael Carley
JMLR
2012
13 years 3 months ago
Krylov Subspace Descent for Deep Learning
In this paper, we propose a second order optimization method to learn models where both the dimensionality of the parameter space and the number of training samples is high. In ou...
Oriol Vinyals, Daniel Povey
SIAMSC
2008
129views more  SIAMSC 2008»
15 years 1 months ago
Iterative Solution of Piecewise Linear Systems
The correct formulation of numerical models for free-surface hydrodynamics often requires the solution of special linear systems whose coefficient matrix is a piecewise constant fu...
Luigi Brugnano, Vincenzo Casulli
SIAMSC
2010
104views more  SIAMSC 2010»
14 years 11 months ago
A New Sobolev Gradient Method for Direct Minimization of the Gross--Pitaevskii Energy with Rotation
Abstract. In this paper we improve traditional steepest descent methods for the direct minimization of the Gross-Pitaevskii (GP) energy with rotation at two levels. We first defi...
Ionut Danaila, Parimah Kazemi