For the statistical stochastic models with hierarchical structure such as Deep networks, Gaussian mixture models and hidden Markov models, algebraic geometry have contributed to the performance ...

The field of polynomial systems occupies a central role in computational mathematics, where the intricate interplay between algebra, geometry, and computational complexity is evident. Research in this ...

Considering soft computing, the Weierstrass data (ζ−1/2, ζ1/2) gives two different minimal surface equations and figures. By using hard computing, we give the family of minimal and spacelike maximal ...

Algebraic geometry is a branch of mathematics which, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of polynomials.