New Efficient Methods for Challenging Computational Optimization Problems

在许多应用领域，人们对高效和实用的计算优化方法的兴趣和需求与日俱增。我们提出的研究将为计算优化中的三个这样的问题发展方法论、理论基础和理解。所有这三个问题都是困难的，需要计算，但开发有效解决方案的进展不仅将在优化领域产生广泛影响，而且将在科学计算和更广泛的应用中产生广泛影响。

There is a growing interest in, and demand for, efficient and practical computational optimization methods in numerous application domains. Our proposed research will develop methodology, and theoretical underpinnings and understanding, for three such problems in computational optimization. All three problems are hard, and computationally demanding, but progress on developing effective solutions will have broad impact not only in the field of optimization but across scientific computing and applications more generally.