On the asymptotic behavior of the Douglas-Rachford and proximal-point algorithms for convex optimization. [PDF]
Optim Lett, 2021 Banjac G, Lygeros J.
europepmc +1 more source
Are Convex Optimization Curves Convex?
In this paper, we study when we might expect the optimization curve induced by gradient descent to be \emph{convex} -- precluding, for example, an initial plateau followed by a sharp decrease, making it difficult to decide when optimization should stop.
Barzilai, Guy +2 more
openaire +2 more sources
Non-convex Optimization via Strongly Convex Majorization-minimization
Canadian Mathematical Bulletin, 2019 AbstractIn this paper, we introduce a class of nonsmooth nonconvex optimization problems, and we propose to use a local iterative minimization-majorization (MM) algorithm to find an optimal solution for the optimization problem. The cost functions in our optimization problems are an extension of convex functions with MC separable penalty, which were ...
openaire +2 more sources
A new outlier detection method based on convex optimization: application to diagnosis of Parkinson's disease. [PDF]
J Appl Stat, 2021 Taylan P +3 more
europepmc +1 more source
New duality results for evenly convex optimization problems. [PDF]
Optimization, 2021 Fajardo MD, Grad SM, Vidal J.
europepmc +1 more source
Implementable tensor methods in unconstrained convex optimization. [PDF]
Math Program, 2021 Nesterov Y.
europepmc +1 more source
Reconstruction of Relative Phase of Self-Transmitting Devices by Using Multiprobe Solutions and Non-Convex Optimization. [PDF]
Sensors (Basel), 2021 Tena Sánchez R +4 more
europepmc +1 more source
La tesi affronta le tematiche inerenti ai problemi di ottimizzazione e principalmente il problema dell’ottimizzazione convessa. Partendo da un problema primale si introducono i concetti chiave di funzione Lagrangiana e funzione duale di Lagrange. Viene affrontato poi il Problema duale di Lagrange soffermandosi sull’interpretazione geometrica del ...
openaire +3 more sources
Variable Smoothing for Convex Optimization Problems Using Stochastic Gradients. [PDF]
J Sci Comput, 2020 Boţ RI, Böhm A.
europepmc +1 more source
Optimization of Sparse Cross Array Synthesis via Perturbed Convex Optimization. [PDF]
Sensors (Basel), 2020 Gu B, Chen Y, Jiang R, Liu X.
europepmc +1 more source