Ordinal methods: Concepts, applications, new developments and challenges

International Workshop
28 February - 4 March 2022

The year 2022 is the 20th anniversary of the seminal paper of C. Bandt and B. Pompe on permutation entropy. During this time, the new “ordinal” methodology has been developed by theoreticians and practitioners in different directions. However, many of the new concepts and approaches are not fully understood and there is also a need for a more systematic application of ordinal methods. In particular, the new developments have to be considered in the light of different and more general frameworks, such as ordinal statistics and ordinal methods in machine learning. The aim of this workshop is to bring together researchers from different disciplines to address those challenges.

• New theoretical results and practical applications;
• Generalization of concepts and methods from the one-dimensional to the multidimensional case;
• Appropriate application of ordinal methods to practical problems;
• Optimal extraction of information from ordinal patterns,
• General ordinal approaches based on the theories of dynamical systems, complexity systems, stochastic processes, and information;
• Better theoretical understanding of several new variants of permutation entropy and their relationship to each other and to established measures of complexity;
• Ordinal networks and applications;
• Development of reliable ordinal pattern-based statistical estimation and hypothesis testing for the analysis of real-world data;
• Use of ordinal methods in machine learning, including feature extraction on an ordinal base.