Ivakhnenko is known to be the founder of Inductive modelling, a scientific approach used for pattern recognition and complex systems forecasting. marking the beginning of a new stage in his scientific work. He led the development of this approach, with a professional team of mathematicians and engineers at the Institute of Cybernetics.
Group method of data handling The
GMDH method presents a unique approach to solving problems in
artificial intelligence and even a new philosophy to
scientific research, which became possible using modern computers. A researcher may not adhere precisely to traditional
deductive way of building models "from general theory – to a particular model": monitoring an object, studying its structure, understanding the principles of its operation, developing
theory and testing the
model of an object. Instead, the new approach is proposed "from specified data – to a general model": after the input of data, a researcher selects a class of models, the type of models-variants generation and sets the
criterion for model selection. As most routine work is transferred to a computer, the impact of human influence on the objective result is minimised. In fact, this approach can be considered as one of the implementations of the artificial intelligence thesis, which states that a computer can act as powerful advisor to humans. The development of GMDH consists of a synthesis of ideas from different areas of science: the cybernetic concept of "
black box" and the principle of successive
genetic selection of pairwise
features,
Godel's incompleteness theorems and the
Gabor's principle of "freedom of decisions choice", the
Adhémar's incorrectness and the
Beer's principle of external additions. GMDH is the original method for solving problems for structural-parametric
identification of models for
experimental data under
uncertainty. Such a problem occurs in the construction of a
mathematical model that approximates the unknown pattern of investigated object or process. It uses information about it that is implicitly contained in data. GMDH differs from other methods of modelling by the active application of the following
principles: automatic models generation, inconclusive decisions, and consistent selection by external criteria for finding models of optimal complexity. It had an original multilayered procedure for automatic models structure generation, which imitates the evolutionary process of biological selection with consideration of pairwise successive features. Such procedure is currently used in
deep learning networks. To compare and choose optimal models, two or more subsets of a data sample are used. This makes it possible to avoid preliminary assumptions, because sample division implicitly acknowledges different types of uncertainty during the automatic construction of the optimal model. In the early 1980s Ivakhnenko had established an organic analogy between the problem of constructing models for noisy data and signal passing through the
channel with
noise. • Theory of invariant systems for
adaptive control with compensation of measured disturbances. He had developed the principle of indirect measurement of disturbances, called as "differential fork" that was used later in practice. • Principle of combined control (with negative feedback for the controlled variables and positive feedback for the controlled disturbances). A number of such systems, for the speed control of electric motors had been implemented in practice. That proved the practical feasibility of invariant conditions in a combined control systems that unite the advantages of closed systems for control by deviation (high precision) and open systems (performance). • The non-searching extreme regulators on the basis of situations recognition. • Noise-immune principles of robust modelling for data with noises. which was published worldwide in seven languages. In his study, a further development of the principles of combined control was connected with the implementation of methods of
evolutionary
self-organisation,
pattern recognition and
forecasting in
control systems. In recent years, his main innovation - the GMDH method - was developed as a method of inductive modelling, complex processes, and systems
forecasting. His ideas are utilised now in
deep learning networks. The effectiveness of the method was confirmed repeatedly during the solution of real complex problems in
ecology,
meteorology,
economics and
technology, which aided increase its popularity among the international scientific community. In parallel, there were conducted developments of evolutionary self-organising
algorithms in a related field -
clustering problems of pattern recognition. Advances in the modelling of environmental processes reflected in the monographs, economic processes - in the books. The results of exploration of
recurrent multilayered GMDH algorithms are described in the books. ==Scientific school==