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JMIV
2007
83views more  JMIV 2007»
13 years 4 months ago
Minimization of a Detail-Preserving Regularization Functional for Impulse Noise Removal
Recently, a powerful two-phase method for restoring images corrupted with high level impulse noise has been developed. The main drawback of the method is the computational efficie...
Jian-Feng Cai, Raymond H. Chan, Carmine Di Fiore
ICIP
2005
IEEE
14 years 6 months ago
Minimization of detail-preserving regularization functional by Newton's method with continuation
Abstract-- Recently, a two-phase scheme for removing saltand-pepper impulse noise has been proposed [14]. In the first phase, an adaptive median filter is used to identify pixels w...
Raymond H. Chan, Chung-Wa Ho, Chun-Yee Leung, Mila...
MP
2008
101views more  MP 2008»
13 years 4 months ago
Accelerating the cubic regularization of Newton's method on convex problems
In this paper we propose an accelerated version of the cubic regularization of Newton's method [6]. The original version, used for minimizing a convex function with Lipschitz...
Yu. Nesterov
MCS
2008
Springer
13 years 4 months ago
A nonsmooth Newton's method for control-state constrained optimal control problems
We investigate optimal control problems subject to mixed control-state constraints. The necessary conditions are stated in terms of a local minimum principle. By use of the Fischer...
Matthias Gerdts
JMLR
2010
143views more  JMLR 2010»
13 years 3 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, ...