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Conference publications

Abstracts

XIX conference

Calculation of the parameters of microscopic optical potential by Asynchronous Differential Evolution algorithm

Zhabitskaya E.I., Zhabitsky M.V.1, Zemlyanaya E.V., Lukyanov K.V.

``Dubna'' University, Russiа, Dubnа; Joint Institute for Nuclear Research, LIT, Russia, Dubna,141980, Joliot-Curie 6

1Joint Institute for Nuclear Research, LNP, Russia, Dubna,141980, Joliot-Curie 6; Rock Flow Dynamics, Russi, Moscow

2 pp. (accepted)

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Differential Evolution (DE) [1] is an evolutionary algorithm to solve derivative-free optimization problems of finding a global minimum, $\vec{x}^*=\left.\left\{x_j \right\}\right|_{j=0, \ldots, D-1}$, of a function $f(\vec{x})$: $\Omega \subset \mathbb{R}^D \to \mathbb{R}$: $f(\vec{x}^*) {\leq} f(\vec{x}) \ \forall \vec{x} \in \Omega$. % Classical Differential Evolution (CDE) [2] employs a synchronous generation-based evolution strategy.

A~novel {Asynchronous Differential Evolution (ADE)} [3] incorporates mutation, crossover and selection operations into an asynchronous strategy. It is well suited for parallel optimization.

Constraints on control parameters for \emph{best/1/bin} strategy of CDE and for four new strategies of a novel Asynchronous Differential Evolution (ADE) are founded in [4].

In oure work the spesification of parameters of microscopic optical potential for elastic $\pi^{+}N$~scattering in the high-energy approximation [5] using elastic scattering data is done by the new ADE algorithm.

References.

1. Price, K.V., Storn, R.M.: A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces.// J. of Global Optimization 11,1997, Pp. 341-359.

2. Price, K.V., Storn, R.M., Lampinen, J.A: Differential Evolution: A Practical Approach to Global Optimization. — Springer-Verlag, Berlin Heidelberg, 2005.

3. Zhabitskaya, E.I., Zhabitsky, M.V.: Asynchronous Differential Evolution. // Springer’s Lecture Notes in Computer Science, 2011 — in press.

4. Zhabitskaya, E.I.: Constraints on Control Parameters of Asynchronous Differential Evo- lution.// Springer’s Lecture Notes in Computer Science, 2011 — in press.

5. В.К.Лукьянов, Е.В.Земляная, К.В.Лукьянов, К.М.Ханна. Микроскопический K+- ядерный оптический потенциал и соответствующие расчеты дифференциальных сечений упругого рассеяния и полных сечений реакции// Ядерная физика, 73, 2010, 1489–1496.



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