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SIAMJO
2010
128views more  SIAMJO 2010»
13 years 2 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»
14 years 1 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...
JGO
2008
115views more  JGO 2008»
13 years 7 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»
13 years 7 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
14 years 8 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