9 citations · 20 across the 11 of their papers we have counts for
7 papers · 1 filter
Duality for Non Convex Composite Functions via the Fenchel Rockafellar Perturbation Framework
Vittorio Latorre
We examine the duality theory for a class of non-convex functions obtained by composing a convex function with a continuous one. Using Fenchel duality, we derive a dual problem tha…
On Implicit Concave Structures in Half-Quadratic Methods for Signal Reconstruction
Vittorio Latorre
In this work, we introduce a new class of non-convex functions, called implicit concave functions, which are compositions of a concave function with a continuously differentiable m…
Topology Optimization with Bilevel Knapsack: An Efficient 51 Lines MATLAB Code
Vittorio Latorre
This paper presents an efficient 51 lines Matlab code to solve topology optimization problems. By the fact that the presented code is based on an hard 0-1 optimization method that…
Global Optimal Trajectory in Chaos and NP-Hardness
Vittorio Latorre, David Yang Gao
This paper presents a new canonical duality methodology for solving general nonlinear dynamical systems. Instead of the conventional iterative methods, the discretized nonlinear sy…
A Potential Reduction Method for Canonical Duality, with an Application to the Sensor Network Localization Problem
Vittorio Latorre
We propose to solve large instances of the non-convex optimization problems reformulated with canonical duality theory. To this aim we propose an interior point potential reduction…
Canonical Dual Approach for Contact Mechanics Problems with Friction
Vittorio Latorre, Simone Sagratella, David Yang Gao
This paper presents an application of Canonical duality theory to the solution of contact problems with Coulomb friction. The contact problem is formulated as a quasi-variational i…
Canonical duality for solving general nonconvex constrained problems
Vittorio Latorre, David Y. Gao
This paper presents a canonical duality theory for solving a general nonconvex constrained optimization problem within a unified framework to cover Lagrange multiplier method and K…