This improves the algorithm performance of the original literature in terms of iterative complexity of the algorithm. This paper shows that the proposed algorithm is guaranteed to converge to a global ...

The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper we study convex graph ...

Specifically, we consider such additional information in the form of a collection of knowingly corresponding functions (seeds) or vector-valued vertex attributes, and show a constructive spectral ...

We consider the solution of matching problems with a convex cost function via a network flow algorithm. We review the general mapping between matching problems and flow problems on skew symmetric ...

In this assignment, written in Matlab code, we implement specific algorithms from Optimization Techniques on convex functions of one or multiple variables, aiming to find their minimum point. In the ...

Discover the proof that the average function of a trigonometrically ρ-convex function is also ... if for any arbitrary closed subinterval of such that , the graph of for lies nowhere above the ... and ...

Convex optimisation constitutes a fundamental area in applied mathematics where the objective is to identify the minimum of a convex function subject to a set of convex constraints. This framework ...

A well-studied nonlinear extension of the minimum-cost flow problem is that given a convex function on every arc, the objective is to minimize the sum of these function values over feasible flows. We ...