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Morse theoretic design of neuromorphic touch counters

Research Project

Project/Area Number 26520202
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section特設分野
Research Field Mathematical Sciences in Search of New Cooperation
Research InstitutionKwansei Gakuin University (2015-2016)
Tohoku University (2014)

Principal Investigator

Miura Keiji  関西学院大学, 理工学部, 准教授 (60520096)

Co-Investigator(Kenkyū-buntansha) 中田 一紀  広島市立大学, 情報科学研究科, 特任助教 (40404107)
Project Period (FY) 2014-07-18 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords位相幾何学 / タッチセンサー / オイラー積分 / ポアンカレ・ホップ指数 / タッチスクリーン / モース理論 / Poincare-Hopf指数 / Applied Topology / Touch Counter / Neural Networks / Euler Calculus
Outline of Final Research Achievements

We developed a touch screen which can count touches irrespective of the hand shapes and positions. So we utilized the mathematics of topological invariants under continuous morphings. Especially, we developed the algorithms utilizing (1) Poincare-Hopf index, and (2) Euler calculus, for two strains of our topological touch counters.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (32 results)

All 2017 2016 2015 2014

All Journal Article (11 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 8 results,  Open Access: 5 results,  Acknowledgement Compliant: 4 results) Presentation (21 results) (of which Int'l Joint Research: 6 results,  Invited: 3 results)

  • [Journal Article] パルス結合磁性体発振素子アレイとニューロモルフィックコンピューティングへの応用2017

    • Author(s)
      中田 一紀, 三浦 佳二
    • Journal Title

      電子情報通信学会技術研究報告 = IEICE technical report : 信学技報

      Volume: 116 Pages: 37-42

    • Related Report
      2016 Annual Research Report
  • [Journal Article] 位相幾何学的アプローチに基づく3次元モーションジェスチャーからの特徴抽出2017

    • Author(s)
      中田 一紀, 三浦 佳二
    • Journal Title

      電子情報通信学会技術研究報告 = IEICE technical report : 信学技報

      Volume: 116 Pages: 17-22

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Dynamical systems design of silicon neurons using phase reduction method2016

    • Author(s)
      Nakada K., Miura K., and Asai T.
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 7 Issue: 2 Pages: 95-109

    • DOI

      10.1587/nolta.7.95

    • NAID

      130005142595

    • ISSN
      2185-4106
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Pulse-Coupled Spin Torque Nano Oscillators with Dynamic Synapses for Neuromorphic Computing2016

    • Author(s)
      Kazuki Nakada, Keiji Miura
    • Journal Title

      Nanotechnology (IEEE-NANO), 2016 IEEE 16th International Conference on

      Volume: - Pages: 397-400

    • DOI

      10.1109/nano.2016.7751403

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 位相幾何学的アプローチに基づくネットワークセンシングとその応用2016

    • Author(s)
      中田 一紀, 三浦 佳二
    • Journal Title

      電子情報通信学会技術研究報告 = IEICE technical report : 信学技報

      Volume: 116 Pages: 47-52

    • Related Report
      2016 Annual Research Report
  • [Journal Article] Neural Architecture of Topology-based Touch Sensing Algorithms2016

    • Author(s)
      中田 一紀
    • Journal Title

      The Brain & Neural Networks

      Volume: 23 Issue: 2 Pages: 68-78

    • DOI

      10.3902/jnns.23.68

    • NAID

      130005253279

    • ISSN
      1340-766X, 1883-0455
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Real-Time Computing of Touch Topology via Poincare-Hopf Index2015

    • Author(s)
      Keiji Miura, Kazuki Nakada
    • Journal Title

      IEEE Access

      Volume: 3 Pages: 2566-2571

    • DOI

      10.1109/access.2015.2504387

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Scaling of Hodge-Kodaira decomposition distinguishes learning rule of neural networks2015

    • Author(s)
      Keiji Miura, Takaaki Aoki
    • Journal Title

      Proc. IFAC CHAOS 2015

      Volume: 48-18 Issue: 18 Pages: 175-180

    • DOI

      10.1016/j.ifacol.2015.11.032

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Visualization of topological landscape in shear-flow dynamics of amorphous solids2015

    • Author(s)
      Takeshi Fujita, Koji Ohara, Keiji Miura, Akihiko Hirata, Motoko Kotani, Yasumasa Nishiura, Mingwei Chen
    • Journal Title

      EPL (Europhysics Letters)

      Volume: 110 Issue: 3 Pages: 38002-38002

    • DOI

      10.1209/0295-5075/110/38002

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Hodge-Kodaira Decomposition of Evolving Neural Networks2015

    • Author(s)
      Keiji Miura, Takaaki Aoki
    • Journal Title

      Neural Networks

      Volume: 62 Pages: 20-24

    • DOI

      10.1016/j.neunet.2014.05.021

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Neural Implementation of Shape-Invariant Touch Counter Based on Euler Calculus2014

    • Author(s)
      Keiji Miura, Kazuki Nakada
    • Journal Title

      IEEE Access

      Volume: 2 Pages: 960-970

    • DOI

      10.1109/access.2014.2351832

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] 有性生物の家系図ネットワークの粗視化2017

    • Author(s)
      伏尾佳悟, 三浦佳二, 水口毅
    • Organizer
      日本物理学会 第72回年次大会
    • Place of Presentation
      大阪大学 豊中キャンパス(大阪府・豊中市)
    • Year and Date
      2017-03-19
    • Related Report
      2016 Annual Research Report
  • [Presentation] 位相幾何学的アプローチに基づく3次元モーションジェスチャーからの特徴抽出2017

    • Author(s)
      中田一紀, 三浦佳二
    • Organizer
      電子情報通信学会 MSS研究会
    • Place of Presentation
      島根大学(島根県・松江市)
    • Year and Date
      2017-03-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] パルス結合磁性体発振素子アレイとニューロモルフィックコンピューティングへの応用2017

    • Author(s)
      中田一紀, 三浦佳二
    • Organizer
      電子情報通信学会 NC/NLP研究会
    • Place of Presentation
      北九州学術研究都市 産学連携センター(福岡県・北九州市)
    • Year and Date
      2017-01-26
    • Related Report
      2016 Annual Research Report
  • [Presentation] Dynamical Systems Design for Spintronic Devices and its Applications2016

    • Author(s)
      Kazuki Nakada
    • Organizer
      2016 EMN Meeting on Spintronics
    • Place of Presentation
      Las Vegas (USA)
    • Year and Date
      2016-10-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Pulse-Coupled Spin Torque Nano Oscillators with Dynamic Synapses for Neuromorphic Computing2016

    • Author(s)
      Kazuki Nakada, Keiji Miura
    • Organizer
      IEEE NANO 2016
    • Place of Presentation
      仙台国際センター(宮城県・仙台市)
    • Year and Date
      2016-08-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 位相幾何学的アプローチに基づくネットワークセンシングとその応用2016

    • Author(s)
      中田一紀, 三浦佳二
    • Organizer
      電子情報通信学会 CCS研究会
    • Place of Presentation
      余市町中央公民館(北海道・余市町)
    • Year and Date
      2016-08-10
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Real-Time Computing of Touch Topology via Poincare-Hopf Index2016

    • Author(s)
      Keiji Miura, Kazuki Nakada
    • Organizer
      SIAM Annual Meeting 2016
    • Place of Presentation
      Boston (USA)
    • Year and Date
      2016-07-11
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] パルス結合磁性体発振素子アレイの位相縮約法による解析2016

    • Author(s)
      中田一紀, 三浦佳二
    • Organizer
      2016年 電子情報通信学会 NOLTAソサイエティ大会
    • Place of Presentation
      東京理科大学葛飾キャンパス(東京都・葛飾区)
    • Year and Date
      2016-06-12
    • Related Report
      2016 Annual Research Report
  • [Presentation] 位相幾何学的アプローチに基づくタッチセンシングアルゴリズムのニューラルアーキテクチャ2016

    • Author(s)
      三浦佳二, 中田一紀
    • Organizer
      LSIとシステムのワークショップ2016
    • Place of Presentation
      東京大学生産技術研究所(東京都・目黒区)
    • Year and Date
      2016-05-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] パルス結合磁性体発振素子アレイのダイナミクスとニューロモルフィックコンピューティングへの応用2016

    • Author(s)
      中田一紀, 三浦佳二
    • Organizer
      LSIとシステムのワークショップ2016
    • Place of Presentation
      東京大学生産技術研究所(東京都・目黒区)
    • Year and Date
      2016-05-16
    • Related Report
      2016 Annual Research Report
  • [Presentation] データの見方を変える脳理論を現代幾何学から探る2015

    • Author(s)
      三浦佳二
    • Organizer
      数理モデリング研究会
    • Place of Presentation
      湖邸滋びわこクラブ (滋賀県大津市)
    • Year and Date
      2015-11-28
    • Related Report
      2015 Research-status Report
  • [Presentation] リズム運動における位相リセット制御の最適化2015

    • Author(s)
      中田一紀, 三浦佳二, 我妻 広明
    • Organizer
      第38回日本生体医工学会中国四国支部大会
    • Place of Presentation
      広島市立大学 (広島県広島市)
    • Year and Date
      2015-11-28
    • Related Report
      2015 Research-status Report
  • [Presentation] Poincare-Hopf 指数を用いた実時間手書き入力の位相不変量計算2015

    • Author(s)
      三浦佳二, 中田一紀
    • Organizer
      さきがけ・CREST「数学」探索における収穫と今後の熟成について
    • Place of Presentation
      甲州市勝沼ぶどうの丘 (山梨県甲州市)
    • Year and Date
      2015-11-14
    • Related Report
      2015 Research-status Report
  • [Presentation] Hodge-小平分解のスケーリングは神経回路網の学習則を区別する2015

    • Author(s)
      三浦佳二, 青木高明
    • Organizer
      JST CREST-さきがけシンポジウム「22世紀創造のための数学」
    • Place of Presentation
      ステーションコンファレンス東京 (東京都)
    • Year and Date
      2015-09-30
    • Related Report
      2015 Research-status Report
  • [Presentation] A Pulse Current Synchronization Scheme for Spin Torque Nano Oscillators2015

    • Author(s)
      Kazuki Nakada, Keiji Miura, Takashi Kimura
    • Organizer
      SSDM 2015
    • Place of Presentation
      札幌コンベンションセンター (北海道札幌市)
    • Year and Date
      2015-09-29
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Poincare-Hopf 指数を用いた実時間手書き入力の位相不変量計算2015

    • Author(s)
      三浦佳二, 中田一紀
    • Organizer
      JST CREST-さきがけシンポジウム「22世紀創造のための数学」
    • Place of Presentation
      富士ソフトアキバプラザ (東京都)
    • Year and Date
      2015-09-28
    • Related Report
      2015 Research-status Report
  • [Presentation] Scaling of Hodge-Kodaira decomposition distinguishes learning rules of neural networks2015

    • Author(s)
      Keiji Miura, Takaaki Aoki
    • Organizer
      ICIAM 2015
    • Place of Presentation
      Beijing (China)
    • Year and Date
      2015-08-10
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Pulse-coupled Synchronization in an Array of Spin Torque Nano Oscillators2015

    • Author(s)
      Kazuki Nakada, Keiji Miura
    • Organizer
      INTERMAG 2015
    • Place of Presentation
      Beijing (China)
    • Year and Date
      2015-05-15
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Neural Implementation of Shape-Invariant Touch Counter Based on Euler Calculus2015

    • Author(s)
      Keiji Miura, Kazuki Nakada
    • Organizer
      The 3rd RIEC International Symposium on Brain Functions and Brain Computer
    • Place of Presentation
      Sendai
    • Year and Date
      2015-02-18 – 2015-02-19
    • Related Report
      2014 Research-status Report
  • [Presentation] Neural Implementation of Shape-Invariant Touch Counter Based on Euler Calculus2015

    • Author(s)
      Keiji Miura, Kaziki Nakada
    • Organizer
      Topics in Differential Geometry and its Discretizations
    • Place of Presentation
      Sendai
    • Year and Date
      2015-01-10 – 2015-01-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 幾何学と統計学を応用した脳情報処理機構の解明2014

    • Author(s)
      三浦佳二
    • Organizer
      第3回藤原洋数理科学賞 授賞式/ピアノコンサート
    • Place of Presentation
      横浜市
    • Year and Date
      2014-10-26
    • Related Report
      2014 Research-status Report
    • Invited

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Published: 2014-09-09   Modified: 2018-03-22  

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