Certain moment functionals on polynomials of degree 2d in n variables require at least binom(n+2d,n) - n*binom(n+d,n) + binom(n,2) Gaussians for representation but can be done with at most binom(n+2d,n)-1.
Laurent, Sums of Squares, Moment Matrices and Polynomial over Optimi zation, Emerging application of algebraic geometry, IMA Vol
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The multidimensional truncated Moment Problem: Shape and Gaussian Mixture Reconstruction from Derivatives of Moments
Certain moment functionals on polynomials of degree 2d in n variables require at least binom(n+2d,n) - n*binom(n+d,n) + binom(n,2) Gaussians for representation but can be done with at most binom(n+2d,n)-1.