Family Complexity and VC-Dimension

Abstract : In 2003 Ahlswede, Khachatrian, Mauduit and Sárközy introduced the notion of family complexity of binary sequences, and in 2006 Ahlswede, Mauduit and Sárközy extended this definition to sequences of k symbols. Since that several further related papers have been published on this subject. In this paper our main goal is to present a survey of all these papers. We will also answer a question of Csiszár and Gách on the connection of family complexity and VC-dimension.
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Submitted on : Wednesday, February 10, 2016 - 4:02:15 PM
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Christian Mauduit, András Sárközy. Family Complexity and VC-Dimension. Information Theory, Combinatorics, and Search Theory, 7777 (II), pp.346-363, 2013, Lecture Notes in Computer Science, 978-3-642-36898-1. ⟨10.1007/978-3-642-36899-8_15⟩. ⟨hal-01272331⟩

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