Polishchuk O. Analysis and synthesis of hand-writing recognition systems

Solutions on recognition of hand-written symbols in the separately hand-written mathematical text, and on structural representation of mathematical formulas and mathematical texts are offered. The method of constructing sets of belonging (containers) using training samples in recognition of hand-written symbols is considered. The method of extracting dependencies from data using a technique of functional transformers is offered. The method of functional transformers for recognition of hand-written symbols is developed. The principle of optimum synthesis of functional transformers is posed basing on the theory of disturbance of projective and pseudoinverse operators. Methods of construction of complex functional transformers having different topology are offered. The software on recognition of separately hand-written mathematical texts and their export into LaTeX format has been developed.