This paper focuses on the application of the partial least squares (PLS) regression to the uncertainty quantification of the responses of complex stochastic systems. It considers the development of a surrogate model using a limited set of training samples in order to estimate statistical quantities of the system output with relatively low computational cost compared to the standard brute force Monte Carlo (MC) simulation. The performance and the strength of the proposed modeling scheme is investigated for an integrated voltage regulator (IVR) with 8 random variables. The results highlight the ability of the PLS regression to deals with complex nonlinear problems with very few principal components, also providing important insights about the input variables.
Analysis of Parameter Variability in Integrated Devices by Partial Least Squares Regression / Larbi, Mourad; Trinchero, Riccardo; Canavero, Flavio G.; Besnier, Philippe; Swaminathan, Madhavan. - ELETTRONICO. - (2020). (Intervento presentato al convegno IEEE Workshop on Signal Propagation on Interconnects (SPI) tenutosi a Cologne (Germany) nel 17-20 May 2020) [10.1109/spi48784.2020.9218175].
Analysis of Parameter Variability in Integrated Devices by Partial Least Squares Regression
Larbi, Mourad;Trinchero, Riccardo;Canavero, Flavio G.;Swaminathan, Madhavan
2020
Abstract
This paper focuses on the application of the partial least squares (PLS) regression to the uncertainty quantification of the responses of complex stochastic systems. It considers the development of a surrogate model using a limited set of training samples in order to estimate statistical quantities of the system output with relatively low computational cost compared to the standard brute force Monte Carlo (MC) simulation. The performance and the strength of the proposed modeling scheme is investigated for an integrated voltage regulator (IVR) with 8 random variables. The results highlight the ability of the PLS regression to deals with complex nonlinear problems with very few principal components, also providing important insights about the input variables.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2989548