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 application of algebraic and geometric methods is one of the present trends in modern statistics. The aim of the project is to apply the methods of combinatorial optimization to problems with motivation in statistics and
artificial intelligence.
The concept of conditional independence (CI) plays an essential role in the area of decision-making under uncertainty (in artificial intelligence), in particular, in the area of probabilistic reasoning. The aim of the project is to try to solve mathematical problems which arise in connection with the methods of computer representation of CI structures and their learning based on data.