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Global Optimization of Statistical Functions with Simulated Annealing
 Journal of Econometrics
, 1994
"... Many statistical methods rely on numerical optimization to estimate a model’s parameters. Unfortunately, conventional algorithms sometimes fail. Even when they do converge, there is no assurance that they have found the global, rather than a local, optimum. We test a new optimization algorithm, simu ..."
Abstract

Cited by 281 (2 self)
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Many statistical methods rely on numerical optimization to estimate a model’s parameters. Unfortunately, conventional algorithms sometimes fail. Even when they do converge, there is no assurance that they have found the global, rather than a local, optimum. We test a new optimization algorithm, simulated annealing, on four econometric problems and compare it to three common conventional algorithms. Not only can simulated annealing find the global optimum, it is also less likely to fail on difficult functions because it is a very robust algorithm. The promise of simulated annealing is demonstrated on the four econometric problems.
Chirped pulse control of CsI fragmentation: An experimental possibility
, 1995
"... this paper. The suggested experiment is a pumpdump experiment that first creates an unstable  dissociating  molecule on a repulsive level and then stops fragmentation. The experiment is envisioned by using a start pulse (a doubled green pulse) that inverts the population. The control pulse  ..."
Abstract

Cited by 1 (1 self)
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this paper. The suggested experiment is a pumpdump experiment that first creates an unstable  dissociating  molecule on a repulsive level and then stops fragmentation. The experiment is envisioned by using a start pulse (a doubled green pulse) that inverts the population. The control pulse  that stops the fragmentation  is the chirp optimized green pulse itself. Optimization includes second and third order chirp expansion terms. Optimization is made for the weak and strong field limits with the help of the simulated annealing method. Weak field optimization shows the expected red chirp results. Strong field optimization, on the other hand, gives rise to blue chirp as optimal solution. It is argued, that the blue chirp is the consequence of the need for locking the upper and lower state wavefunctions for efficient population inversion. 1 Introduction Optimal control of molecular processes with shaped ultrashort laser pulses is the focus of much recent research interest (see, e.g. [151]). A short overview of some of the important steps towards the idea of quantum control and the theory of quantum control is as follows: Tannor, Rice and Kosloff suggested the scheme to use two ultrashort pulses to break a prescribed chemical bond [1,2]. Shapiro and Brumer developed a method based on the interference between continuous wave lasers [3,5]. Peirce, Dahleh and Rabitz developed a way of applying the methods of optimal Article published in Chem. Phys. 188; 8797, (1994). 16 August control theory (OCT) to quantum chemical problems which has become the standard formulation of the problem in recent years [6]. A similar formulation was developed by Kosloff et al. [9]. An important step towards laboratory implementation was taken by Judson and Rabitz [24]. They develo...