Symmetric approximations of pseudo-Boolean functions

Details Symmetric approximations of pseudo-Boolean functions Symmetric approximations of pseudo-Boolean functions

2010-04-15

arxiv.org/abs/1004.2593v1

Mathematics

Optimization and Control

Scientific paper

We consider the approximation problem of a pseudo-Boolean function by a
symmetric pseudo-Boolean function in the sense of weighted least squares. We
give explicit expressions for the approximation and provide interpretations and
properties of its L-statistic representation. We also discuss applications of
these expressions in cooperative game theory and engineering reliability.

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