Birgit Hillebrecht

activity

20202026

most citedCertified machine learning: A posteriori error estimation for physics-informed neural networks

11 citations · 20 across the 7 of their papers we have counts for

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2 papers · 1 filter

math.NA2025

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow

Birgit Hillebrecht, Benjamin Unger

Rigorous error estimation is a fundamental topic in numerical analysis. With the increasing use of physics-informed neural networks (PINNs) for solving partial differential equatio…

math.OC2025

$H_{\infty}$ model order reduction for quadratic output systems

Birgit Hillebrecht, Benjamin Unger

Linear time-invariant quadratic output (LTIQO) systems generalize linear time-invariant systems to nonlinear regimes. Problems of this class occur in multiple applications naturall…

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow

H∞​ model order reduction for quadratic output systems

$H_{\infty}$ model order reduction for quadratic output systems