Energy-efficient threshold circuits detecting global pattern in 1-dimentional arrays

Akira Suzuki, Kei Uchizawa, Gyo Shu

研究成果: Conference contribution

1 引用 (Scopus)

抜粋

In this paper, we investigate a relationship between energy and size of a threshold circuit processing a simple task, called PLR n, that was introduced in a context of pattern recognition. Formally, P LR n: {0, 1}n x {0, 1}n → {0,1} is defined as follows: For every x = (x1,x2,⋯, xn) ∈ {0, 1}n and y = (y1,y 2,⋯,yn) ∈ {0, 1}n, PLR n(x, y) = 1 if there exists a pair of indices i and j such that i < j and xi = yj = 1; and PLR n(x,y) = 0 otherwise. We prove that PLR n can be computed by a threshold circuit of energy e and size s = O (e · n 2/e-1) for any integer e, 3 ≤ e ≤ 2log2 n + 1. Our result implies that one can construct an energy-efficient circuit computing PLR n if it is allowable to use large size. Moreover, we focus on an extreme case where a threshold circuit has energy e = 1, and show that PLR can be computed by a threshold circuit of energy e = 1 and size s = ⌊n/2⌋, while PLR n cannot be computed by any threshold circuit of energy e = 1 and size s ≤ ⌊n/2⌋ - 1.

元の言語English
ホスト出版物のタイトルTheory and Applications of Models of Computation - 10th International Conference, TAMC 2013, Proceedings
出版者Springer-Verlag
ページ248-259
ページ数12
ISBN(印刷物)9783642382352
DOI
出版物ステータスPublished - 2013 1 1
イベント10th International Conference on Theory and Applications of Models of Computation, TAMC 2013 - Hong Kong, China
継続期間: 2013 5 202013 5 22

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
7876 LNCS
ISSN(印刷物)0302-9743
ISSN(電子版)1611-3349

Other

Other10th International Conference on Theory and Applications of Models of Computation, TAMC 2013
China
Hong Kong
期間13/5/2013/5/22

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

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  • これを引用

    Suzuki, A., Uchizawa, K., & Shu, G. (2013). Energy-efficient threshold circuits detecting global pattern in 1-dimentional arrays. : Theory and Applications of Models of Computation - 10th International Conference, TAMC 2013, Proceedings (pp. 248-259). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 7876 LNCS). Springer-Verlag. https://doi.org/10.1007/978-3-642-38236-9_23