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20182024
most citedPINN Training using Biobjective Optimization: The Trade-off between Data Loss and Residual Loss

31 citations · 52 across the 14 of their papers we have counts for

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Showing 2018Show all

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math.OC2018

Introducing Multiobjective Complex Systems

Tobias Dietz, Kathrin Klamroth, Konstantin Kraus +5

This article focuses on the optimization of a complex system which is composed of several subsystems. On the one hand, these subsystems are subject to multiple objectives, local co…

math.NA2018

Adjoint Method to Calculate Shape Gradients of Failure Probabilaties for Turbomachinery Components

Hanno Gottschalk, Mohamed Saadi, Onur Tanil Doganay +2

In the optimization of turbomachinery components, shape sensitivities for fluid dynamical objective functions have been used for a long time. As peak stress is not a differential f…