Leader
Investigator(s)
Department
Begin
End
Agency
GACR
Identification Code
GA19-04579S
Project Focus
teoretický
Project Type (EU)
other
Publications ÚTIA
Abstract
The aim of the project is to apply the methods of polyhedral geometry to solve mathematical
problems with motivation in statistics and artificial intelligence. The goals concern several areas:
statistical learning graphical models of conditional independence structure, theory for
application of graphical models, supermodular functions, secret sharing schemes, theory of
cooperative games and imprecise probabilities
problems with motivation in statistics and artificial intelligence. The goals concern several areas:
statistical learning graphical models of conditional independence structure, theory for
application of graphical models, supermodular functions, secret sharing schemes, theory of
cooperative games and imprecise probabilities
Key words:
conditional-independence-structures; statistical-learning-graphical models; cooperative-game-
theory; supermodular-functions; polymatroids
Goals:
Solve open questions related to statistical learning graphical models, to the theory of
cooperative games and to the applications of polymatroids. Deepen the theory for application of
graphical models of the conditional independence structure