66 citations · 187 across the 28 of their papers we have counts for
5 papers · 2 filters
Convergence rate analysis of randomized and cyclic coordinate descent for convex optimization through semidefinite programming
Hadi Abbaszadehpeivasti, Etienne de Klerk, Moslem Zamani
In this paper, we study randomized and cyclic coordinate descent for convex unconstrained optimization problems. We improve the known convergence rates in some cases by using the n…
Convergence rate analysis of the gradient descent-ascent method for convex-concave saddle-point problems
Moslem Zamani, Hadi Abbaszadehpeivasti, Etienne de Klerk
In this paper, we study the gradient descent-ascent method for convex-concave saddle-point problems. We derive a new non-asymptotic global convergence rate in terms of distance to…
The exact worst-case convergence rate of the alternating direction method of multipliers
Moslem Zamani, Hadi Abbaszadehpeivasti, Etienne de Klerk
Recently, semidefinite programming performance estimation has been employed as a strong tool for the worst-case performance analysis of first order methods. In this paper, we deriv…
Conditions for linear convergence of the gradient method for non-convex optimization
Hadi Abbaszadehpeivasti, Etienne de Klerk, Moslem Zamani
In this paper, we derive a new linear convergence rate for the gradient method with fixed step lengths for non-convex smooth optimization problems satisfying the Polyak-Lojasiewicz…
Construction of multivariate polynomial approximation kernels via semidefinite programming
Felix Kirschner, Etienne de Klerk
In this paper we construct a hierarchy of multivariate polynomial approximation kernels via semidefinite programming. We give details on the implementation of the semidefinite prog…