Representation of Concept Lattices by Bidirectional Associative Memories

@article{Belohlvek2000RepresentationOC,
  title={Representation of Concept Lattices by Bidirectional Associative Memories},
  author={Radim Belohl{\'a}vek},
  journal={Neural Computation},
  year={2000},
  volume={12},
  pages={2279-2290}
}
  • Radim Belohlávek
  • Published 2000
  • Mathematics, Medicine, Computer Science
  • Neural Computation
  • This article presents a concept interpretation of patterns for bidirectional associative memory (BAM) and a representation of hierarchical structures of concepts (concept lattices) by BAMs. The constructive representation theorem provides a storing rule for a training set that allows a concept interpretation. Examples demonstrating the theorems are presented. 

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 10 REFERENCES

    Two coding strategies for bidirectional associative memory

    VIEW 1 EXCERPT

    Formal Concept Analysis: Mathematical Foundations

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Learning Patterns and Pattern Sequences by Self-Organizing Nets of Threshold Elements

    • S. Amari
    • Computer Science
    • IEEE Transactions on Computers
    • 1972
    VIEW 2 EXCERPTS

    1990).Two coding strategies

    • 1990

    Bi-directional associative memories

    VIEW 2 EXCERPTS

    Bidirectional associative memory systems in C

    VIEW 3 EXCERPTS

    Network processing indeterminacy. Unpublished doctoral dissertation, Technical University of Ostrava

    • 1998