4 papers · 1 filter
Sparse Network Optimization for Synchronization
Regina S. Burachik, Alexander C. Kalloniatis, C. Yalçın Kaya
We propose new mathematical optimization models for generating sparse dynamical graphs, or networks, that can achieve synchronization. The synchronization phenomenon is studied usi…
On Dykstra's algorithm: finite convergence, stalling, and the method of alternating projections
Heinz H. Bauschke, Regina S. Burachik, Daniel B. Herman +1
A popular method for finding the projection onto the intersection of two closed convex subsets in Hilbert space is Dykstra's algorithm. In this paper, we provide sufficient conditi…
Steklov Convexification and a Trajectory Method for Global Optimization of Multivariate Quartic Polynomials
Regina S. Burachik, C. Yalçın Kaya
The Steklov function is defined to average a continuous function at each point of its domain by using a window of size given by . It has traditionally been…
Steklov Regularization and Trajectory Methods for Univariate Global Optimization
Orhan Arıkan, Regina S. Burachik, C. Yalçın Kaya
We introduce a new regularization technique, using what we refer to as the Steklov regularization function, and apply this technique to devise an algorithm that computes a global m…