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离散优化与连续优化的复杂性概念
复杂性概念 离散优化 连续优化
2018/3/12
问题的复杂性概念起源于离散的图灵计算机理论的研究, 在离散优化问题的研究中被广泛的接受. 近期连续优化领域的很多文章中提及NP难这个概念. 从而来对比介绍离散优化和连续优化研究中这两个概念的差异.
针对目前通常采用计算碰撞概率来进行空间目标碰撞预警的方法，为提高其评判标准的精度以达到提高航天器精准预警的目的，分析了目前空间目标碰撞概率阈值确定过程的总体框架.对阈值确定过程中所涉及的误差协方差矩阵确定方法、碰撞概率计算以及碎片通量计算方法进行了研究.以国际空间站（ISS）为例，通过计算其所在空间的碎片通量，分析其轨道受空间环境的影响情况，并与早期结果进行比较，得出其以往的碰撞概率阈值可能被高估...
How Should Benefits and Costs Be Discounted in an Intergenerational Context?
earnings probability
2015/9/18
Should governments, in discounting the future benefits and costs of public projects, use a
discount rate that declines over time? The argument for a declining discount rate is a simple one: if the
d...
A needle of length I dropped at random on a grid of parallel lines of distance
d apart can have multiple intersections if I > d. The distribution of the number
of intersections and approximate mom...
Bounding Standard Gaussian Tail Probabilities
Bounding Standard Gaussian Tail Probabilities
2011/1/20
We review various inequalities for Mills' ratio (1 )= , where and denote the standard Gaussian density and distribution function, respectively. Elementary considerations involving nit...
A Khintchine Decomposition for Free Probability
Khintchine Decomposition Free Probability
2010/12/13
Let μ be a probability measure on the real line. In this paper we prove that there exists a decomposition μ = μ0 ⊞μ1 ⊞· · ·⊞μn ⊞· · · such that μ0 is infinitely divisible and μ...