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Temperature Scheduling in Simulated Annealing (view source)
Revision as of 18:23, 20 December 2007
, 18:23, 20 December 2007no edit summary
In ''the diamond problem'', a solution consists of values given to two amplitudes and three phases. The amplitudes represent the intensity of the light from the reference mirror and the diamond {the front and the back only differ by a constant). The phases represent each of the three surfaces: the reference mirror and the front and back of the diamond. Each of these quantities is represented by a certain order Legendre polynomial, which is represented in the form of a matrix with the number of rows and columns to match the order with an offset of one. Since the order Legendre Polynomial for each of the amplitudes and phases is set by the user, the dimensionality of the problem varies depending on the desired order. Thus, the lowest dimensionality that ''the diamond problem'' could take on would be 11 and the highest would be (cutting the Legendre polynomial order off at five) 125. However, it is most likely somewhere in between most likely slightly greater than 50, due to wanting to fully exploit the range of the Legendre polynomials to give the greatest accuracy in mapping the diamond surface.
In ''the diamond problem'', a solution consists of values given to two amplitudes and three phases. The amplitudes represent the intensity of the light from the reference mirror and the diamond {the front and the back only differ by a constant). The phases represent each of the three surfaces: the reference mirror and the front and back of the diamond. Each of these quantities is represented by a certain order Legendre polynomial, which is represented in the form of a matrix with the number of rows and columns to match the order with an offset of one. Since the order Legendre Polynomial for each of the amplitudes and phases is set by the user, the dimensionality of the problem varies depending on the desired order. Thus, the lowest dimensionality that ''the diamond problem'' could take on would be 11 and the highest would be (cutting the Legendre polynomial order off at five) 125. However, it is most likely somewhere in between most likely slightly greater than 50, due to wanting to fully exploit the range of the Legendre polynomials to give the greatest accuracy in mapping the diamond surface.
== Convergence and Simulated Annealing ==
== Convergence and Simulated Annealing ==
==Prospective strategies==
==Prospective strategies==
==References==
[1] Esin Onbasoglu and Ozdamar, Yeditepe University, Istanbul, Turkey Journal of Global Optimization 2001
[2] Lee and Lee, ''Synchronous and Asynchronous Parallel Simulated Annealing with Multiple Markov Chains'' 1991