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arXiv 0912.1394astro-ph.EP
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近地天体是最优化理论的关键吗?

Are Near Earth Objects the Key to Optimization Theory?

Richard A. Formato

摘要:

本说明表明,近地天体和中心力优化有一些共同之处,近地天体理论可能是解决确定性优化中一些棘手问题的关键:局部捕获和收敛性证明。CFO类比牛顿定律来定位函数的全局最大值。NEO和CFO之间的联系是CFO的Davg曲线和NEO的Delta-V曲线之间惊人的相似性。两者都表现出由跳跃连接的振荡平台状区域,这表明CFO的隐喻“重力”确实表现得像真正的重力,从而将近地天体和CFO联系起来,并成为推测近地天体理论可能解决优化难题的基础。

英文摘要:

This note suggests that near earth objects and Central Force Optimization have something in common, that NEO theory may hold the key to solving some vexing problems in deterministic optimization: local trapping and proof of convergence. CFO analogizes Newton's laws to locate the global maxima of a function. The NEO-CFO nexus is the striking similarity between CFO's Davg and an NEO's Delta-V curves. Both exhibit oscillatory plateau-like regions connected by jumps, suggesting that CFO's metaphorical "gravity" indeed behaves like real gravity, thereby connecting NEOs and CFO and being the basis for speculating that NEO theory may address difficult issues in optimization.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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