Combinatorial theory of empirical predictions and learning algorithms genaralization bounds.
Weak probability axiomatic.
Similarity-based and ensemble-based classification.
Collaborative filterning and clients environment analysis.
Support and development of wiki-site http://www.MachineLearning.ru.
Main publications:
Rudakov K. V., Vorontsov K. V., “Methods of optimization and monotone correction in the algebraic approach to the recognition problem”, Doklady Mathematics, 60:1 (1999), 139