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- W2021796991 abstract "We investigate geometric and algebraic properties of binary vectors within the context of Hopfield models for orthogonal binary vectors. We define a generalized Hamming distance h which is an invariant property of even sets of vectors of the N-dimensional hypercube and vanishes for an orthogonal set which forms a basis. We present an algorithm for the construction of orthogonal distant sets of size N/2, in which no subset of size divisible by 4 has h=0, and argue that these sets are faithful, i.e., they are exactly and exclusively reproduced by the model." @default.
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- W2021796991 date "1987-11-01" @default.
- W2021796991 modified "2023-09-23" @default.
- W2021796991 title "Hypercubic structures in orthogonal Hopfield models" @default.
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- W2021796991 doi "https://doi.org/10.1103/physreva.36.4968" @default.
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