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» Smooth Optimization with Approximate Gradient
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SIAMJO
2010
128views more  SIAMJO 2010»
14 years 11 months ago
Solving Log-Determinant Optimization Problems by a Newton-CG Primal Proximal Point Algorithm
We propose a Newton-CG primal proximal point algorithm for solving large scale log-determinant optimization problems. Our algorithm employs the essential ideas of the proximal poi...
Chengjing Wang, Defeng Sun, Kim-Chuan Toh
ISAAC
2005
Springer
127views Algorithms» more  ISAAC 2005»
15 years 10 months ago
Decision Making Based on Approximate and Smoothed Pareto Curves
Abstract. We consider bicriteria optimization problems and investigate the relationship between two standard approaches to solving them: (i) computing the Pareto curve and (ii) the...
Heiner Ackermann, Alantha Newman, Heiko Rögli...
129
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JGO
2008
115views more  JGO 2008»
15 years 4 months ago
Smoothing by mollifiers. Part I: semi-infinite optimization
We show that a compact feasible set of a standard semi-infinite optimization problem can be approximated arbitrarily well by a level set of a single smooth function with certain r...
Hubertus Th. Jongen, Oliver Stein
JGO
2008
53views more  JGO 2008»
15 years 4 months ago
Smoothing by mollifiers. Part II: nonlinear optimization
This article complements the paper [7], where we showed that a compact feasible set of a standard semi-infinite optimization problem can be approximated arbitrarily well by a leve...
Hubertus Th. Jongen, Oliver Stein
ISBI
2004
IEEE
16 years 5 months ago
A Fast Fully 4D Incremental Gradient Reconstruction Algorithm for List Mode PET Data
We present a fully four-dimensional, globally convergent, incremental gradient algorithm to estimate the continuous-time tracer density from list mode positron emission tomography...
Quanzheng Li, Evren Asma, Richard M. Leahy