17 citations · 54 across the 8 of their papers we have counts for
9 papers
Towards optimal sensor placement for inverse problems in spaces of measures
Phuoc-Truong Huynh, Konstantin Pieper, Daniel Walter
The objective of this work is to quantify the reconstruction error in sparse inverse problems with measures and stochastic noise, motivated by optimal sensor placement. To be usefu…
Nonconvex regularization for sparse neural networks
Konstantin Pieper, Armenak Petrosyan
Convex regularization using an infinite dictionary of neurons has been suggested for constructing neural networks with desired approximation guarantees, but can be affecte…
Exponential Time Differencing for the Tracer Equations Appearing in Primitive Equation Ocean Models
Sara Calandrini, Konstantin Pieper, Max Gunzburger
The tracer equations are part of the primitive equations used in ocean modeling and describe the transport of tracers, such as temperature, salinity or chemicals, in the ocean. Dep…
A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems
Ira Neitzel, Konstantin Pieper, Boris Vexler +1
We present a systematic approach to the optimal placement of finitely many sensors in order to infer a finite-dimensional parameter from point evaluations of the solution of an ass…
Linear convergence of accelerated conditional gradient algorithms in spaces of measures
Konstantin Pieper, Daniel Walter
A class of generalized conditional gradient algorithms for the solution of optimization problem in spaces of Radon measures is presented. The method iteratively inserts additional…
Exponential time differencing for mimetic multilayer ocean models
Konstantin Pieper, K. Chad Sockwell, Max Gunzburger
A framework for exponential time discretization of the multilayer rotating shallow water equations is developed in combination with a mimetic discretization in space. The method is…
Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls
Lucas Bonifacius, Konstantin Pieper, Boris Vexler
In this paper a priori error estimates are derived for full discretization (in space and time) of time-optimal control problems. Various convergence results for the optimal time an…
Inverse point source location with the Helmholtz equation on a bounded domain
Konstantin Pieper, Bao Quoc Tang, Philip Trautmann +1
The problem of recovering acoustic sources, more specifically monopoles, from point-wise measurements of the corresponding acoustic pressure at a limited number of frequencies is a…
A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems
Lucas Bonifacius, Konstantin Pieper, Boris Vexler
Space-time finite element discretizations of time-optimal control problems governed by linear parabolic PDEs and subject to pointwise control constraints are considered. Optimal a…