Abstract For an increasing sequence $$(T_n)$$ ( T n ) of one-parameter semigroups sub Markovian kernel operators over a Polish space, we study the limit semigroup and prove sufficient conditions for it to be stron...

Today, better numerical approximations are required for multi-dimensional SDEs to improve on the poor performance of the standard Monte Carlo integration. With this aim in mind, the material in the thesis is divided into two main categories, stochastic calculus and mathematical finance. In the former, we introduce a new scheme or discrete time approximation based on an idea of Paul Malliavin wh...

This paper proposes a novel parallel stochastic gradient descent (SGD) method that is obtained by applying parallel sets of SGD iterations (each set operating on one node using the data residing in it) for finding the direction in each iteration of a batch descent method. The method has strong convergence properties. Experiments on datasets with high dimensional feature spaces show the value of...

â  â â â  â  abstract â  this paper examines convergence of real gdp per capita in the selected east asian countries and this relationship with selected middle east countries during the period 1950-2009. the reason behind this refers to the fact that east asia countries (including china, hong kong, singapore, malaysia, indonesia, thailand, japan and south korea) have been involved in achieving ...