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Ordinal Methods: Concepts, Applications, New Developments and Challenges

The year 2022 marks 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. Precisely, this Focus Issue aims to be a forum where researchers from different disciplines can report on recent advances in ordinal methods, thus making further progress and synergies possible. We expect mostly original contributions but also some minireviews from different perspectives. In particular, manuscripts on statistical aspects of the ordinal patterns, ordinal methods in machine learning, and numerical benchmarking of ordinal methods in specific applications are especially welcome.

Guest Editors: José M. Amigó, Karsten Keller, Osvaldo A. Rosso

José M. Amigó; Osvaldo A. Rosso
10.1063/5.0167263
Guy Morgand Djeufa Dagoumguei; Samuel Tagne; J. S. Armand Eyebe Fouda; Wolfram Koepf
10.1063/5.0136234
Kento Baba; Sena Kishiya; Hiroshi Gotoda; Takeshi Shoji; Seiji Yoshida
10.1063/5.0140854
Meng Du; Jie Wei; Meng-Yu Li; Zhong-ke Gao; Jürgen Kurths
10.1063/5.0146259
Norbert Marwan; Tobias Braun
10.1063/5.0143224
Zahra Shahriari; Shannon D. Algar; David M. Walker; Michael Small
10.1063/5.0141438
F. R. Iaconis; M. A. Trujillo Jiménez; G. Gasaneo; O. A. Rosso; C. A. Delrieux
10.1063/5.0142230
Christoph Bandt; Katharina Wittfeld
10.1063/5.0136912
Taichi Haruna
10.1063/5.0136772
Natalí Guisande; Monserrat Pallares di Nunzio; Nataniel Martinez; Osvaldo A. Rosso; Fernando Montani
10.1063/5.0142773
F. Olivares; L. Zunino; M. Zanin
10.1063/5.0134848
Diego M. Mateos; Leonardo E. Riveaud; Pedro W. Lamberti
10.1063/5.0136240
Johann H. Martínez; José J. Ramasco; Massimiliano Zanin
10.1063/5.0136471
Chiara Barà; Laura Sparacino; Riccardo Pernice; Yuri Antonacci; Alberto Porta; Dimitris Kugiumtzis; Luca Faes
10.1063/5.0140641
David Sánchez; Luciano Zunino; Juan De Gregorio; Raúl Toral; Claudio Mirasso
10.1063/5.0139852
Christoph Bandt
10.1063/5.0132602
Manfred Denker
10.1063/5.0136663
Massimiliano Zanin
10.1063/5.0136492
Ikaro Daniel de Carvalho Barreto; Tatijana Stosic; Rômulo Simões Cezar Menezes; Antonio Samuel Alves da Silva; Osvaldo A. Rosso; Borko Stosic
10.1063/5.0135352
Klaus Lehnertz
10.1063/5.0136181
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