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In this paper we continue with our exploration of Concept Lattices as Channels of information by analysing the quantitative content of formal contexts. We correlate the qualitative information provided by concept lattices with quantitative information described by an information-theoretical balance equation and visualised by entropy triangles in multi-valued formal contexts. Using the technique of \(\mathcal K\) -Formal Concept Analysis ( \(\mathcal K\) -FCA), we extract binary formal contexts by sweeping in a threshold parameter \(\varphi \) , but the choice of this parameter for an optimal visualisation of the information contained in the formal context is difficult and prone to error. With entropy triangles we can visualise informational quantities and therefore choose values for \(\varphi \) so that the concept lattice captures the most information possible. This is shown and validated on real data from an odorant perception task about the nervous system of Caenorhabditis elegans.

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Qualitative and Quantitative Analyses of C. elegans’ Perception with Concept Lattices as Information Channels

  • 会议论文

  • 发表日期：

    2025年

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  • Emma Reyner-Fuentes,
  • Carmen Peláez-Moreno,
  • Francisco J. Valverde-Albacete

摘要

In this paper we continue with our exploration of Concept Lattices as Channels of information by analysing the quantitative content of formal contexts. We correlate the qualitative information provided by concept lattices with quantitative information described by an information-theoretical balance equation and visualised by entropy triangles in multi-valued formal contexts. Using the technique of \(\mathcal K\) -Formal Concept Analysis ( \(\mathcal K\) -FCA), we extract binary formal contexts by sweeping in a threshold parameter \(\varphi \) , but the choice of this parameter for an optimal visualisation of the information contained in the formal context is difficult and prone to error. With entropy triangles we can visualise informational quantities and therefore choose values for \(\varphi \) so that the concept lattice captures the most information possible. This is shown and validated on real data from an odorant perception task about the nervous system of Caenorhabditis elegans.