View source: R/bernstein_polynomials.R
bernstein | R Documentation |
Fits the basis of Bernstein polynomial functions to given real-valued
function f
of [0,1]^d where d=dims
, against
a regular lattice of k+1 points in each dimension for given
k
. Note the approximation is not the iterated variant.
bernstein(f, dims, k = 10)
f |
a function to be approximated. |
dims |
the function |
k |
the lattice resolution of approximation. |
an S3 object of class bernstein
.
Francesco Aldà and Benjamin I. P. Rubinstein. "The Bernstein Mechanism: Function Release under Differential Privacy", in Proceedings of the 31st AAAI Conference on Artificial Intelligence (AAAI'2017), pp. 1705-1711, Feb 2017.
predict.bernstein
for subsequent evaluation.
f <- function(x) x * sin(x*10) b <- bernstein(f, dims = 1) xs <- seq(from=0, to=1, length=50) mean((f(xs) - predict(b,xs))^2)
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