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- W2095597510 abstract "We provide a numerical scheme to approximate as closely as desired the Gaussian or exponential measure $mu(om)$ of (not necessarily compact) basic semi-algebraic sets$omsubsetR^n$. We obtain two monotone (non increasing and non decreasing) sequences of upper and lower bounds $(overline{omega}_d)$, $(underline{omega}_d)$, $dinN$, each converging to $mu(om)$ as $dtoinfty$. For each $d$, computing $overline{omega}_d$ or $underline{omega}_d$reduces to solving a semidefinite program whose size increases with $d$. Some preliminary (small dimension) computational experiments are encouraging and illustrate thepotential of the method. The method also works for any measure whose moments are known and which satisfies Carleman's condition." @default.
- W2095597510 created "2016-06-24" @default.
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- W2095597510 date "2017-10-01" @default.
- W2095597510 modified "2023-09-25" @default.
- W2095597510 title "Computing gaussian & exponential measures of semi-algebraic sets" @default.
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