Supplemental Information : “ Robust exponential memory in 1 Hopfield networks ”
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چکیده
6 In this supplementary material, we elaborate on the mathematics involved in the 7 claims of the main paper.
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Supplemental Information : “ Robust exponential memory in Hopfield networks ”
For an integer r ≥ 0, we say that state x∗ is r-stable if it is an attractor for all states with Hamming distance at most r from x∗. Thus, if a state x∗ is r-stably stored, the network is guaranteed to converge to x∗ when exposed to any corrupted version not more than r bit flips away. For positive integers k and r, is there a Hopfield network on n = ( 2k 2 ) nodes storing all k-cliques r-stabl...
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