We discuss the application of random projections to conic programming: notably linear, second-order and semidefinite programs. We prove general approximation results on feasibility and optimality using the framework of formally real Jordan algebras. We then discuss some computational experiments on randomly generated semidefinite programs in order to illustrate the practical applicability of our ideas
翻译:我们讨论将随机预测应用到concic 编程中: 特别是线性、 二级和半无限期程序。 我们用正式真实的约旦代数框架来证明关于可行性和最佳性的一般近似结果。 然后我们讨论对随机生成的半无限期程序进行一些计算实验,以说明我们的想法的实际适用性。