Geodesic
Concerning Multivariate Bernstein Polynomials and Stochastic Logic
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 465

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Among the applications of the Bernstein polynomials in one variable is their use in solving problems associated with stochastic computing. Taking as a starting point the notion of stochastic logic in the sense of Qian-Riedel-Rosenberg, the aim of this paper is to investigate some necessary and sufficient conditions for guaranteeing whether polynomial operations can be implemented with stochastic logic based on multivariate Bernstein polynomials with coefficients in the unit interval.
Classification : 03B70, 68Q87, 41A10, 90C09
Keywords: Stochastic computing, stochastic logic, multivariate Bernstein polynomials, uniform approximation 
Yamilet Quintana. Concerning Multivariate Bernstein Polynomials and Stochastic Logic. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 465 . http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a9/
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     title = {Concerning {Multivariate} {Bernstein} {Polynomials} and {Stochastic} {Logic}},
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