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Design of Energy-Efficient Threshold Circuits Based on Biological Information Processing, and its limitation

Research Project

Project/Area Number 21700003
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Fundamental theory of informatics
Research InstitutionTohoku University

Principal Investigator

UCHIZAWA Kei  Tohoku University, 大学院・情報科学研究科, 助教 (90510248)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords情報基礎 / エネルギー効率化 / 回路計算量 / トレードオフ / 生体生命情報 / しきい値回路 / 剰余関数 / 神経回路網 / 脳
Research Abstract

We consider a threshold circuit as a theoretical model of a neural network, and study a relationship among its energy, size and depth. We obtain the following two results : 1) we prove that there exists a tight tradeoff between energy complexity and size of threshold circuits computing MOD functions ; 2) we prove that if a function can be computed by a threshold circuit of small energy complexity, then the function can be computed by a threshold circuit of small depth, too.

Report

(3 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • Research Products

    (21 results)

All 2011 2010 2009 Other

All Journal Article (12 results) (of which Peer Reviewed: 10 results) Presentation (9 results)

  • [Journal Article] Energy-Efficient Threshold Circuits Computing Mod Functions2011

    • Author(s)
      A.Suzuki, K.Uchizawa, X.Zhou
    • Journal Title

      Proceedings of the 17^<th> Computing : the Australasian Theory Symposium (CATS), CRIPT 119

      Pages: 105-110

    • NAID

      110008676159

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Size-energy Tradeoffs of threshold circuits computing Mod functions2011

    • Author(s)
      K.Uchizawa, E.Takimoto, T.Nishizeki
    • Journal Title

      Theoretical Computer Science Volume 412, issues 8-10

      Pages: 773-782

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Size-energy tradsoffs of unate circuits computing symmetric Boolean functions2011

    • Author(s)
      Kei Uchizawa, Eiji Takimoto, Takao Nishizeki
    • Journal Title

      Theoretical Computer Science

      Volume: Vol.412(8-10) Pages: 773-782

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Energy-Efficient Threshold Circuits Computing MOD Functions2011

    • Author(s)
      Akira Suzuki, Kei Uchizawa, Xiao Zhou
    • Journal Title

      Proceedings of the 17th Computing : the Australasian Theory Symposium (CATS), CRIPT

      Volume: 119 Pages: 105-110

    • NAID

      110008676159

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Size and energy of unate circuits computing symmetric Boolean functions2010

    • Author(s)
      Kei Uchizawa, Eiji Takimoto, Takao Nishizeki
    • Journal Title

      Proceedings of the 13th Japan-Korea Joint Workshop on Algorithms and Computation

      Pages: 10-17

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 剰余関数を計算するエネルギー複雑度の小さいしきい値回路2010

    • Author(s)
      鈴木顕, 内沢啓, 周暁
    • Journal Title

      電子情報通信学会技術研究報告,コンピュテーション

      Volume: Vol.110, No.325 Pages: 7-14

    • NAID

      110008676159

    • Related Report
      2010 Annual Research Report
  • [Journal Article] 対称関数を計算するユネイト回路のサイズとエネルギーのトレードオフ2010

    • Author(s)
      内沢啓, 瀧本英二, 西関隆夫
    • Journal Title

      信学技報 109(391)

      Pages: 57-64

    • NAID

      110008004174

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Size and energy of threshold circuits computing Mod functions2009

    • Author(s)
      K.Uchizawa, E.Takimoto, T.Nishizeki
    • Journal Title

      Proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science, (MFCS) Springer LNCS 5734

      Pages: 724-735

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Energy complexity and depth of threshold circuits2009

    • Author(s)
      K.Uchizawa, E.Takimoto
    • Journal Title

      Proceedings of the 17th International Symposium on Fundamentals of Computation Theory (FCT), Springer LNCS 5699

      Pages: 335-345

    • NAID

      110007227310

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Size and Energy of Threshold Circuits Computing Mod Functions2009

    • Author(s)
      内沢啓, 瀧本英二, 西関隆夫
    • Journal Title

      Proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science

      Pages: 724-735

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Energy Complexity and Depth of Threshold Circuits2009

    • Author(s)
      内沢啓, 西関隆夫, 瀧本英二
    • Journal Title

      Proceedings of the 17th International Symposium on Fundamentals of Computation Theory

      Pages: 335-345

    • NAID

      110007227310

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Energy and depth of threshold circuits

    • Author(s)
      K.Uchizawa, T Nishizeki, E.Takimoto
    • Journal Title

      Theoretical Computer Science to appear

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Presentation] 多人数通信ゲームとしきい値回路の複雑度2011

    • Author(s)
      北原綾香, 内沢啓, 周暁
    • Organizer
      第10回先端的ネットワーク&コンピューティングテクノロジーワークショップ/ITRC情報流通基盤分科会ワークショップ
    • Place of Presentation
      東北大学
    • Year and Date
      2011-03-18
    • Related Report
      2010 Final Research Report
  • [Presentation] Energy and Fan-in of Threshold Circuits Computing Mod Functions2011

    • Author(s)
      鈴木顕, 内沢啓, 周暁
    • Organizer
      第10回先端的ネットワーク&コンピューティングテクノロジーワークショップ/ITRC情報流通基盤分科会ワークショップ
    • Place of Presentation
      東北大学
    • Year and Date
      2011-03-18
    • Related Report
      2010 Final Research Report
  • [Presentation] 剰余関数を計算するエネルギー複雑度の小さいしきい値回路2010

    • Author(s)
      鈴木顕, 内沢啓, 周暁
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      九州工業大学Kyutechプラザ
    • Year and Date
      2010-12-03
    • Related Report
      2010 Final Research Report
  • [Presentation] Size and energy of unate circuits computing symmetric Boolean functions2010

    • Author(s)
      K.Uchizawa, E.Takimoto, T. Nishizeki
    • Organizer
      Proceedings of the 13^<th> Japan-Korea Joint Workshop on Algorithms and Computation (WAAC)
    • Place of Presentation
      金沢文化ホール
    • Year and Date
      2010-06-23
    • Related Report
      2010 Final Research Report
  • [Presentation] 生体情報処理の視点に基づいたエネルギー効率の高いしきい値回路の設計2010

    • Author(s)
      内沢啓
    • Organizer
      情報数物研究会
    • Place of Presentation
      東北大学
    • Year and Date
      2010-06-04
    • Related Report
      2010 Final Research Report
  • [Presentation] 生体情報処理の視点に基づいたエネルギー効率の高いしきい値回路の設計2010

    • Author(s)
      内沢啓
    • Organizer
      情報数物研究会
    • Place of Presentation
      東北大学大学院情報科学研究科
    • Year and Date
      2010-06-04
    • Related Report
      2010 Annual Research Report
  • [Presentation] 対称関数を計算するユネイト回路のサイズとエネルギーのトレードオフ2010

    • Author(s)
      内沢啓, 瀧本英二, 西関隆夫
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2010-01-25
    • Related Report
      2010 Final Research Report
  • [Presentation] Size-Energy Tradeoff of Unate Circuits Computing MOD Functions2009

    • Author(s)
      Kei Uchizawa
    • Organizer
      National Tsing Hua Univ.-Tohoku Univ.Bilateral Workshop
    • Place of Presentation
      National Tsing Hua University(台湾)
    • Year and Date
      2009-12-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] しきい値論理回路のエネルギー複雑度と段数について2009

    • Author(s)
      内沢啓, 西関隆夫, 瀧本英二
    • Organizer
      電子情報通信学会コンピュテーション研究会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-04-17
    • Related Report
      2010 Final Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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