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20162026
most citedManifold learning-based polynomial chaos expansions for high-dimensional surrogate models

39 citations · 291 across the 31 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

physics.acc-ph2022

Quadrupole Magnet Design based on Genetic Multi-Objective Optimization

Eric Diehl, Moritz von Tresckow, Lou Scholtissek +4

This work suggests to optimize the geometry of a quadrupole magnet by means of a genetic algorithm adapted to solve multi-objective optimization problems. To that end, a non-domina…

cs.CE2022★ 8 cited

An -adaptive multi-element stochastic collocation method for surrogate modeling with information re-use

Armin Galetzka, Dimitrios Loukrezis, Niklas Georg +2

This paper introduces an -adaptive multi-element stochastic collocation method, which additionally allows to re-use existing model evaluations during either - or -refinem…

cs.CE2022★ 7 cited

Power Module Heat Sink Design Optimization with Ensembles of Data-Driven Polynomial Chaos Surrogate Models

Dimitrios Loukrezis, Herbert De Gersem

We consider the problem of optimizing the design of a heat sink used for cooling an insulated gate bipolar transistor (IGBT) power module. The thermal behavior of the heat sink is…

math.NA2022★ 8 cited

Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries

Ion Gabriel Ion, Dimitrios Loukrezis, Herbert De Gersem

This work develops a numerical solver based on the combination of isogeometric analysis (IGA) and the tensor train (TT) decomposition for the approximation of partial differential…

cs.LG2022

A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems

Katiana Kontolati, Dimitrios Loukrezis, Dimitris G. Giovanis +2

Constructing surrogate models for uncertainty quantification (UQ) on complex partial differential equations (PDEs) having inherently high-dimensional stoc…