2016
DOI: 10.1109/mmm.2015.2514188
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Power in Simplicity with ASM: Tracing the Aggressive Space Mapping Algorithm Over Two Decades of Development and Engineering Applications

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Cited by 108 publications
(80 citation statements)
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“…It is now interesting to note that, according to equations (5) and (6) of [4], the fact that the derivatives (or Jacobian) in the LF and HF spaces are identical, implies that the socalled Broyden matrix B is, in fact, always equal to the identity matrix. This simple observation has, indeed, a very important consequence in the context of ASM techniques.…”
Section: Detailed Numerical Investigationmentioning
confidence: 99%
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“…It is now interesting to note that, according to equations (5) and (6) of [4], the fact that the derivatives (or Jacobian) in the LF and HF spaces are identical, implies that the socalled Broyden matrix B is, in fact, always equal to the identity matrix. This simple observation has, indeed, a very important consequence in the context of ASM techniques.…”
Section: Detailed Numerical Investigationmentioning
confidence: 99%
“…It is interesting to note that what we described verbally in the previous paragraph can also be stated in mathematical terms. To do that, we first recall that a linear mapping between X c (coarse domain) and X f (fine domain) can be written in the form [5]:…”
Section: Detailed Numerical Investigationmentioning
confidence: 99%
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“…Here we exploit parameter extraction (PE) as an optimization problem that aims at minimizing the difference between a target response and the system response being optimized [21]. In our work, we aim at finding the input values x of the ANN model that minimize the difference between the objective function value of a faulty circuit, calculated in (1) and treated as the target, and the ANN output.…”
Section: Fault Identification By Parameter Extractionmentioning
confidence: 99%
“…At the beginning of the space mapping concept is presented, input space mapping is introduced as the most standard space mapping methodology [25], [102]. Input space mapping focuses on reducing the misalignment between the fine and coarse models by establishing a mapping between the input spaces (e.g., design parameter spaces) of the fine and coarse models.…”
Section: Input Space Mappingmentioning
confidence: 99%