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Alien Attractors and Memory Annihilation of Structured Sets in Hopfield Networks
Oleh:
Kumar, S.
;
Saini, S.
;
Prakash, P.
Jenis:
Article from Journal - ilmiah internasional
Dalam koleksi:
IEEE Transactions on Neural Networks vol. 7 no. 5 (1996)
,
page 1305-1308.
Topik:
networks
;
allient attractors
;
memoy annhiliation
;
networks
Ketersediaan
Perpustakaan Pusat (Semanggi)
Nomor Panggil:
II36.1
Non-tandon:
1 (dapat dipinjam: 0)
Tandon:
tidak ada
Lihat Detail Induk
Isi artikel
This paper considers the encoding of structured sets into Hopfield associative memories. A structured set is a set of vectors with equal Hamming distance h from one another, and its centroid is an external vector that has distance h / 2 from every vector of the set. Structured sets having centroids are not infrequent. When such a set is encoded into a noiseless Hopfield associative memory using a bipolar outer - product connection matrix, and the network operates with synchronous neuronal update, the memory of all encoded vectors is annihilated even for sets with as few as three vectors in dimension n > 5 (four for n = 5). In such self - annihilating structured sets, the centroid emerges as a stable attractor. We call it an alien attractor. For canonical structured sets, self - annihilation takes place only if h < n / 2. Self - annihilation does not occur and alien attractors do not emerge in dimensions less than five.
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