2 citations · 5 across the 17 of their papers we have counts for
10 papers · 1 filter
Fast and Simple Multiclass Data Segmentation: An Eigendecomposition and Projection-Free Approach
Chiara Faccio, Margherita Porcelli, Francesco Rinaldi +1
Graph-based machine learning has seen an increased interest over the last decade with many connections to other fields of applied mathematics. Learning based on partial differentia…
Numerical solution of a class of quasi-linear matrix equations
Margherita Porcelli, Valeria Simoncini
Given the matrix equation in the unknown matrix , we analyze existence and uniqueness conditions, toget…
A semidefinite programming approach for the projection onto the cone of negative semidefinite symmetric tensors with applications to solid mechanics
Cristina Padovani, Margherita Porcelli
We propose an algorithm for computing the projection of a symmetric second-order tensor onto the cone of negative semidefinite symmetric tensors with respect to the inner product d…
A spectral PALM algorithm for matrix and tensor-train based Dictionary Learning
Domitilla Brandoni, Margherita Porcelli, Valeria Simoncini
Dictionary Learning (DL) is one of the leading sparsity promoting techniques in the context of image classification, where the "dictionary" matrix D of images and the sparse matrix…
Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications
Enrico Meli, Benedetta Morini, Margherita Porcelli +1
Spectral residual methods are derivative-free and low-cost per iteration procedures for solving nonlinear systems of equations. They are generally coupled with a nonmonotone linese…
A relaxed interior point method for low-rank semidefinite programming problems with applications to matrix completion
Stefania Bellavia, Jacek Gondzio, Margherita Porcelli
A new relaxed variant of interior point method for low-rank semidefinite programming problems is proposed in this paper. The method is a step outside of the usual interior point fr…
Improved penalty algorithm for Mixed Integer PDE Constrained Optimization Problems
Dominik Garmatter, Margherita Porcelli, Francesco Rinaldi +1
Optimal control problems including partial differential equation (PDE) as well as integer constraints merge the combinatorial difficulties of integer programming and the challenges…
Finite element model updating for structural applications
Maria Girardi, Cristina Padovani, Daniele Pellegrini +2
A novel method for performing model updating on finite element models is presented. The approach is particularly tailored to modal analyses of buildings, by which the lowest freque…
Preconditioning PDE-constrained optimization with -sparsity and control constraints
Margherita Porcelli, Valeria Simoncini, Martin Stoll
PDE-constrained optimization aims at finding optimal setups for partial differential equations so that relevant quantities are minimized. Including sparsity promoting terms in the…
Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems
Margherita Porcelli, Valeria Simoncini, Mattia Tani
We address the problem of preconditioning a sequence of saddle point linear systems arising in the solution of PDE-constrained optimal control problems via active-set Newton method…