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V&V of Fixed-Structure Neural Networks
for Flight Critical Systems
Onboard nonlinear models are a key enabling technology for
virtual sensors, model-based control, reconfigurable control
and model-based diagnostic algorithms. Before such models
can be used in safety-critical applications, such as civilian
aircraft, they must undergo extensive testing to verify that
there is no combination of inputs that will generate an undesirable
output. While this can be done relatively easily for lookup
tables and some nonlinear decision logic, it is more difficult
for more powerful models such as multi-layer perceptrons (MLPs)
or polynomial neural netowrks (PNNs).

BAI is working with Goodrich Aerospace to develop analysis
techniques and a software tool to verify and validate fixed
structure neural networks that are replacing lookup tables
for near term upgrades of current generation aviation systems.
Specific model types include single- and multiple-layer perceptrons
with Sigmoidal basis functions, polynomial neural networks,
Pi Sigma networks, and polynomial models resulting from orthogonal
basis function modeling. The verification technique combines
exhaustive testing over a uniform grid of test points with
analysis techniques that bound the output and error of the
network between test points. The software tool, which will
automate this process, will ultimately be qualified under
RTCA DO-178B and any other applicable FAA directives for automated
V&V tools.
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