This paper deals with the packing problem of circles and non-convex polygons, which can be both translated and rotated into a strip with prohibited regions. Using the Ф-function technique, a ...

This paper considers the problem of optimizing the ratio f Tr[VT AV]/Tr [VT BV] over all unitary matrices V with p columns, where A,B are two positive definite matrices. This problem is common in ...

Great progress has been made in the past few years in our understanding of nonconvex optimizations. In this talk, I will share with you three of our works in this direction. In one, we study low-rank ...