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» Newton's method and its use in optimization
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EOR
2007
105views more  EOR 2007»
13 years 11 months ago
Newton's method and its use in optimization
Newton’s method is a basic tool in numerical analysis and numerous applications, including operations research and data mining. We survey the history of the method, its main ide...
Boris T. Polyak
ICA
2004
Springer
14 years 4 months ago
Blind Deconvolution Using the Relative Newton Method
We propose a relative optimization framework for quasi maximum likelihood blind deconvolution and the relative Newton method as its particular instance. Special Hessian structure a...
Alexander M. Bronstein, Michael M. Bronstein, Mich...
SIAMJO
2010
83views more  SIAMJO 2010»
13 years 9 months ago
The Lifted Newton Method and Its Application in Optimization
Abstract. We present a new “lifting” approach for the solution of nonlinear optimization problems (NLPs) that have objective and constraint functions with intermediate variable...
Jan Albersmeyer, Moritz Diehl
JMLR
2010
143views more  JMLR 2010»
13 years 9 months ago
A Quasi-Newton Approach to Nonsmooth Convex Optimization Problems in Machine Learning
We extend the well-known BFGS quasi-Newton method and its memory-limited variant LBFGS to the optimization of nonsmooth convex objectives. This is done in a rigorous fashion by ge...
Jin Yu, S. V. N. Vishwanathan, Simon Günter, ...
ICASSP
2011
IEEE
13 years 2 months ago
Non-linear noise compensation for robust speech recognition using Gauss-Newton method
In this paper, we present the Gauss-Newton method as a unified approach to optimizing non-linear noise compensation models, such as vector Taylor series (VTS), data-driven parall...
Yong Zhao, Biing-Hwang Juang