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Polynomial Embeddings and Representations

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Book cover Formal Concept Analysis (ICFCA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4390))

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Abstract

The following paper activates polynomial methods for data analysis.We want to embed a given formal context into a polynomial context \((K^n,K[x_1, . . . , x_n], \bot\)) in such a way that implications can be computed in the polynomial context, using the algebraic structure. The basic ideas of formal concept analysis that are needed here are sketched in [TB1].

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References

  1. Ganter, B., Wille, R.: Formale Begriffsanalyse Mathematische Grundlagen. Springer, Heidelberg (1996)

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  2. Kunz, E.: Einführung in die kommutative Algebra und Algebraische Geometrie. Vieweg, Braunschweig (1980)

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  4. Becker, T.: Features of Interaction between Formal Concept Analysis and Algebraic Geometry. TU Darmstadt

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  5. Becker, T.: General Algebraic Geometry, TU Darmstadt

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  6. Vogt, F.: Bialgebraic Contexts. Shaker, Aachen (1994)

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  7. Wille, U.: Geometric Representation of Ordinal Contexts. Dissertation, Giessen (1995)

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Sergei O. Kuznetsov Stefan Schmidt

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© 2007 Springer Berlin Heidelberg

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Becker, T. (2007). Polynomial Embeddings and Representations. In: Kuznetsov, S.O., Schmidt, S. (eds) Formal Concept Analysis. ICFCA 2007. Lecture Notes in Computer Science(), vol 4390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70901-5_18

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  • DOI: https://doi.org/10.1007/978-3-540-70901-5_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70828-5

  • Online ISBN: 978-3-540-70901-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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