Abstract: The aim of this work is the parallel implementation
of k-means in MATLAB, in order to reduce the execution time.
Specifically, a new function in MATLAB for serial k-means algorithm
is developed, which meets all the requirements for the conversion to a
function in MATLAB with parallel computations. Additionally, two
different variants for the definition of initial values are presented.
In the sequel, the parallel approach is presented. Finally, the
performance tests for the computation times respect to the numbers
of features and classes are illustrated.
Abstract: It is well known, that any interpolating polynomial
p (x, y) on the vector space Pn,m of two-variable polynomials with
degree less than n in terms of x and less than m in terms of y, has
various representations that depends on the basis of Pn,m that we
select i.e. monomial, Newton and Lagrange basis e.t.c.. The aim of
this short note is twofold : a) to present transformations between the
coordinates of the polynomial p (x, y) in the aforementioned basis
and b) to present transformations between these bases.