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Energy Functions for Multi-Component Systems

Research Project

Project/Area Number 07680417
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Intelligent informatics
Research InstitutionRyukoku Univ.

Principal Investigator

KOBUCHI Youichi  Ryukoku Univ.Faculty of Science and Technology Professor, 理工学部, 教授 (60025450)

Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1996: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1995: ¥600,000 (Direct Cost: ¥600,000)
KeywordsLogic Network / Higher-order NN / Lyapunov Function / Order Relation / Pure Energy Function / Symmetry / Complate Lattice / 多素子系 / ニューラル・ネットワーク / 非対称ニューラル・ネットワーク
Research Abstract

A logic network is a network of binary logic functions, which may be expressed as a higher-order neural network. We consider asynchronous operation mode a characterize stable networks through corresponding Lyapunov functions.We first treat a typical type of stable logic networks (called pure) and give their characterization. This is related with symmetry of the networks. Then we define a partial order on the set of logic networks and reveal some basic properties of stable logic networks in this lattice structure. That is, purely stable logic network is a maximal element of the set of stable logic networks, and a logic network M is stable if and only if there exists a purely stable logic network L such that L is greater than or equal to M under the above mentioned order.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (3 results)

All Other

All Publications (3 results)

  • [Publications] Youichi Kobuchi: "Order between logic networks and stable neural networks" Proceedings of ESANN'97. 309-314 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Youichi Kobuchi: "Order between logic networks and stable neural networks" Proceedings of ESANN'97. 309-314 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Youichi Kobuchi: "Order between logic networks and stable neural networks" ESANN'97 Proceedings. (1997)

    • Related Report
      1996 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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