Inverting Prediction Models in Micro Production for Process Design

Databased prediction models are used to estimate a possible outcome for previously unknown production parameters. These forward models enable to test new production designs and parameters virtually before applying them in the real world. Cause-effect networks are one way to generate such a predictio...

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Main Authors: Gralla Phil, Piotrowska-Kurczewski Iwona, Rippel Daniel, Lütjen Michael, Maaß Peter
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Subjects:
Online Access:https://doi.org/10.1051/matecconf/201819015007
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author Gralla Phil
Piotrowska-Kurczewski Iwona
Rippel Daniel
Lütjen Michael
Maaß Peter
author_facet Gralla Phil
Piotrowska-Kurczewski Iwona
Rippel Daniel
Lütjen Michael
Maaß Peter
author_sort Gralla Phil
collection DOAJ
description Databased prediction models are used to estimate a possible outcome for previously unknown production parameters. These forward models enable to test new production designs and parameters virtually before applying them in the real world. Cause-effect networks are one way to generate such a prediction model. Multiple inputs and stages are being connected to one large prediction model. The functional behaviour and correlation of inputs as well as outputs is obtained through data based learning. In general, these models are non-linear and not invertible, especially for micro cold forming processes. While already being useful in process design, such models have their highest impact if inverted to find process parameters for a given output. Combining methods from the mathematical field of inverse problems as well as machine learning, a generalized inverse can be approximated. This allows finding process parameters for a given output without inverting the model directly but still using inherit information of the forward model. In this work, Tikhonov functionals are used to perform a parameter identification. The classical approach is altered by changing the discrepancy term to incorporate tolerances. Thereby, small deviations of a certain pattern are being neglected and the parameter finding process is being stabilized. In addition, different types of regularization are taken into consideration. Besides theoretical aspects of this method, examples are provided to demonstrate advantages and boundaries of an application for the process design in micro cold forming processes.
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spelling doaj.art-d4ddc81dc3364c75833cd9295e03582b2022-12-21T22:49:43ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011901500710.1051/matecconf/201819015007matecconf_icnft2018_15007Inverting Prediction Models in Micro Production for Process DesignGralla PhilPiotrowska-Kurczewski IwonaRippel DanielLütjen MichaelMaaß PeterDatabased prediction models are used to estimate a possible outcome for previously unknown production parameters. These forward models enable to test new production designs and parameters virtually before applying them in the real world. Cause-effect networks are one way to generate such a prediction model. Multiple inputs and stages are being connected to one large prediction model. The functional behaviour and correlation of inputs as well as outputs is obtained through data based learning. In general, these models are non-linear and not invertible, especially for micro cold forming processes. While already being useful in process design, such models have their highest impact if inverted to find process parameters for a given output. Combining methods from the mathematical field of inverse problems as well as machine learning, a generalized inverse can be approximated. This allows finding process parameters for a given output without inverting the model directly but still using inherit information of the forward model. In this work, Tikhonov functionals are used to perform a parameter identification. The classical approach is altered by changing the discrepancy term to incorporate tolerances. Thereby, small deviations of a certain pattern are being neglected and the parameter finding process is being stabilized. In addition, different types of regularization are taken into consideration. Besides theoretical aspects of this method, examples are provided to demonstrate advantages and boundaries of an application for the process design in micro cold forming processes.https://doi.org/10.1051/matecconf/201819015007Predictive ModelOptimizationProcess Control
spellingShingle Gralla Phil
Piotrowska-Kurczewski Iwona
Rippel Daniel
Lütjen Michael
Maaß Peter
Inverting Prediction Models in Micro Production for Process Design
MATEC Web of Conferences
Predictive Model
Optimization
Process Control
title Inverting Prediction Models in Micro Production for Process Design
title_full Inverting Prediction Models in Micro Production for Process Design
title_fullStr Inverting Prediction Models in Micro Production for Process Design
title_full_unstemmed Inverting Prediction Models in Micro Production for Process Design
title_short Inverting Prediction Models in Micro Production for Process Design
title_sort inverting prediction models in micro production for process design
topic Predictive Model
Optimization
Process Control
url https://doi.org/10.1051/matecconf/201819015007
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AT piotrowskakurczewskiiwona invertingpredictionmodelsinmicroproductionforprocessdesign
AT rippeldaniel invertingpredictionmodelsinmicroproductionforprocessdesign
AT lutjenmichael invertingpredictionmodelsinmicroproductionforprocessdesign
AT maaßpeter invertingpredictionmodelsinmicroproductionforprocessdesign