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JMIV
2007
83views more  JMIV 2007»
14 years 10 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
72
Voted
ICIP
2005
IEEE
16 years 5 days 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»
14 years 10 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
14 years 10 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»
14 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, ...