activity
20222026
most citedLearning-informed parameter identification in nonlinear time-dependent PDEs

14 citations · 19 across the 7 of their papers we have counts for

collaborators

7 papers

math.OC2026

Data assimilation via model reference adaptation for linear and nonlinear dynamical systems

Benedikt Kaltenbach, Christian Aarset, Tram Thi Ngoc Nguyen

We address data assimilation for linear and nonlinear dynamical systems via the so-called model reference adaptive system. Continuing our theoretical developments, we deliver the f…

math.OC2025

FEM-based A-optimal sensor placement for heat source inversion from final time measurement

Christian Aarset, Tram Thi Ngoc Nguyen

Within the field of optimal experimental design, \emph{sensor placement} refers to the act of finding the optimal locations of data collecting sensors, with the aim to optimise rec…

math.OC2024★ 2 cited

A global optimum-informed greedy algorithm for A-optimal experimental design

Christian Aarset

Optimal experimental design (OED) concerns itself with identifying ideal methods of data collection, e.g.~via sensor placement. The \emph{greedy algorithm}, that is, placing one se…

math.NA2024

Bi-level regularization via iterative mesh refinement for aeroacoustics

Christian Aarset, Tram Thi Ngoc Nguyen

In this work, we illustrate the connection between adaptive mesh refinement for finite element discretized PDEs and the recently developed \emph{bi-level regularization algorithm}.…

math.OC2024★ 3 cited

Global optimality conditions for sensor placement, with extensions to binary low-rank A-optimal designs

Christian Aarset

The \emph{sensor placement problem} for stochastic linear inverse problems consists of determining the optimal manner in which sensors can be employed to collect data. Specifically…

math.OC2022

Unsupervised energy disaggregation via convolutional sparse coding

Christian Aarset, Andreas Habring, Martin Holler +1

In this work, a method for unsupervised energy disaggregation in private households equipped with smart meters is proposed. This method aims to classify power consumption as active…

math.OC2022★ 14 cited

Learning-informed parameter identification in nonlinear time-dependent PDEs

Christian Aarset, Martin Holler, Tram Thi Ngoc Nguyen

We introduce and analyze a method of learning-informed parameter identification for partial differential equations (PDEs) in an all-at-once framework. The underlying PDE model is f…