3 citations · 3 across the 5 of their papers we have counts for
5 papers
A Universal Quantum Algorithm for Weighted Maximum Cut and Ising Problems
Natacha Kuete Meli, Florian Mannel, Jan Lellmann
We propose a hybrid quantum-classical algorithm to compute approximate solutions of binary combinatorial problems. We employ a shallow-depth quantum circuit to implement a unitary…
On the convergence of Broyden's method and some accelerated schemes for singular problems
Florian Mannel
We consider Broyden's method and some accelerated schemes for nonlinear equations having a strongly regular singularity of first order with a one-dimensional nullspace. Our two mai…
SHINE: SHaring the INverse Estimate from the forward pass for bi-level optimization and implicit models
Zaccharie Ramzi, Florian Mannel, Shaojie Bai +3
In recent years, implicit deep learning has emerged as a method to increase the effective depth of deep neural networks. While their training is memory-efficient, they are still si…
A path-following inexact Newton method for PDE-constrained optimal control in BV (extended version)
Dominik Hafemeyer, Florian Mannel
We study a PDE-constrained optimal control problem that involves functions of bounded variation as controls and includes the TV seminorm of the control in the objective. We apply a…
Finite element error estimates for one-dimensional elliptic optimal control by BV functions
Dominik Hafemeyer, Florian Mannel, Ira Neitzel +1
We consider an optimal control problem governed by a one-dimensional elliptic equation that involves univariate functions of bounded variation as controls. For the discretization o…