Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Yu. P. Laptin"'
Autor:
T. O. Bardadym, Yu. P. Laptin
Publikováno v:
Mathematical and computer modelling. Series: Physical and mathematical sciences. :54-60
Publikováno v:
Pattern Recognition and Image Analysis. 28:664-669
A new unified method for improving a wide class of linear decision rules is proposed on the basis of using the concept of Generalized Precedent and analogues of Hough transform in higher dimensions.
Autor:
O. A. Berezovskyi, Yu. P. Laptin
Publikováno v:
Cybernetics and Systems Analysis. 53:712-724
For nonconvex quadratic optimization problems, the authors consider calculation of global extreme value estimates on the basis of Lagrangian relaxation of the original problems. On the boundary of the feasible region of the estimate problem, function
Exact Penalty Functions and Convex Extensions of Functions in Schemes of Decomposition in Variables*
Autor:
Yu. P. Laptin
Publikováno v:
Cybernetics and Systems Analysis. 52:85-95
Using exact penalty functions in schemes of decomposition in variables for nonlinear optimization make it possible to overcome problems related to implicit description of the feasible region of master problem. The paper deals with determining the val
Publikováno v:
Machine Learning and Data Analysis. 1:1910-1918
The role of intrinsic and introduced data structures at constructing efficient recognition algorithms is analyzed. The concept of generalized precedent as representation of stable local regularity in data and based on its use methods of reduction of
Publikováno v:
Cybernetics and Systems Analysis. 47:640-648
Problems of construction of linear classifiers for classifying many sets are considered. In the case of linearly separable sets, problem statements are given that generalize already well-known formulations. For linearly inseparable sets, a natural cr
Publikováno v:
Cybernetics and Systems Analysis. 47:106-116
Power boilers are complicated technical objects consisting of a large number of interconnected components. Main problems of creating mathematical models and software support for optimal design of power boiler units are analyzed, approaches to the sol
Autor:
A. P. Vinogradov, Yu. P. Laptin
Publikováno v:
Pattern Recognition and Image Analysis. 20:479-483
We investigate a direct geometric approach to the problem of reconstruction of the behavior of a sample of hidden dimensions. A method for an improved description of cluster sampling, based on the interpretation of nonlinearities in the empirical dis
Publikováno v:
Pattern Recognition and Image Analysis. 20:137-144
Some approaches to the problem of constructing linear classifiers, including embedded ones, are studied for the case of many classes. Sufficient conditions for linear separability of classes are formulated, and specifics of the problem statement when
Autor:
Yu. P. Laptin
Publikováno v:
Cybernetics and Systems Analysis. 45:497-502
An approach to reducing a constrained convex programming problem to an unconstrained optimization problem is considered. An initial internal feasible point is supposed to be specified. An equivalent unconstrained optimization problem is formulated in