简洁表示平衡分配Balanced Allocation with Succinct Representation |
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课程网址: | http://videolectures.net/kdd2010_alaei_basr/ |
主讲教师: | Saeed Alaei |
开课单位: | 马里兰大学 |
开课时间: | 2010-10-01 |
课程语种: | 英语 |
中文简介: | 基于计算广告中保证交付的应用,我们考虑了二方供求环境下均衡分配的一般问题。我们的公式捕获了偏离被凸惩罚函数平衡的概念。虽然这个公式允许一个凸规划的解决方案,我们力求更强大和可扩展的算法。对于$L 1$惩罚函数,我们得到了一个简单的基于图中最小成本流的组合算法,并演示了如何预先计算一个\emph线性信息量,这样沿任何边的分配都可以在\emph常量时间内近似。然后通过求解凸成本流,将组合解推广到任意凸函数。这些可伸缩的方法可能在其他环境中有应用程序来规定平衡分配。我们研究了我们的算法在大型现实图上的性能,并表明它们在实践中是有效的、可扩展的和健壮的。 |
课程简介: | Motivated by applications in guaranteed delivery in computational advertising, we consider the general problem of balanced allocation in a bipartite supply-demand setting. Our formulation captures the notion of deviation from being balanced by a convex penalty function. While this formulation admits a convex programming solution, we strive for more robust and scalable algorithms. For the case of $L_1$ penalty functions we obtain a simple combinatorial algorithm based on min-cost flow in graphs and show how to precompute a \emph{linear} amount of information such that the allocation along any edge can be approximated in \emph{constant} time. We then extend our combinatorial solution to any convex function by solving a convex cost flow. These scalable methods may have applications in other contexts stipulating balanced allocation. We study the performance of our algorithms on large real-world graphs and show that they are efficient, scalable, and robust in practice. |
关 键 词: | 供需平衡分配; 凸惩罚函数; 应用程序 |
课程来源: | 视频讲座网 |
最后编审: | 2019-12-21:lxf |
阅读次数: | 41 |