statistical modeling of neural activities by infinite dimensional information geometry

• Project/Area Number: 24700301
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Bioinformatics/Life informatics
• Research Institution: Kwansei Gakuin University (2015); Tohoku University (2012-2014)
• Principal Investigator: Miura Keiji 関西学院大学, 理工学部, 准教授 (60520096)
• Project Period (FY): 2012-04-01 – 2016-03-31
• Project Status: Completed (Fiscal Year 2015)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
• Keywords: information geometry / computational topology / nonstationarity / noise correlations / Information Geometry / Applied Topology / 情報幾何学 / セミパラメトリック推定 / ノイズ相関 / 時系列解析 / 時系列 / 神経科学 / 応用数学 / 情報生命

Outline of Final Research Achievements

Dynamical brain activities, under changing environments and animals' states, often show nonstationarity. In this study, we derived statistical estimators for time-independent statistical parameters such as correlations, which are orthogonal to the time-dependent baselines, whatever the function form of the baseline drift is.

Research Products

• [Journal Article] Real-Time Computing of Touch Topology via Poincare-Hopf Index (2015)
  • Author(s): Keiji Miura, Kazuki Nakada
  • Journal Title: IEEE Access Volume: 3 Pages: 2566-2571
  • DOI: 10.1109/access.2015.2504387
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Scaling of Hodge-Kodaira decomposition distinguishes learning rule of neural networks (2015)
  • 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
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Visualization of topological landscape in shear-flow dynamics of amorphous solids (2015)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Hodge-Kodaira Decomposition of Evolving Neural Networks (2015)
  • Author(s): Keiji Miura, Takaaki Aoki
  • Journal Title: Neural Networks Volume: 62 Pages: 20-24
  • DOI: 10.1016/j.neunet.2014.05.021
  • Peer Reviewed
• [Journal Article] Neural Implementation of Shape-Invariant Touch Counter Based on Euler Calculus (2014)
  • Author(s): Keiji Miura, Kazuki Nakada
  • Journal Title: IEEE Access Volume: 2 Pages: 960-970
  • DOI: 10.1109/access.2014.2351832
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] The dorsomedial striatum encodes net expected return, critical for energizing performance vigor (2013)
  • Author(s): Alice Y. Wang, Keiji Miura, Naoshige Uchida
  • Journal Title: Nature Neuroscience Volume: 16 Issue: 5 Pages: 639-647
  • DOI: 10.1038/nn.3377
  • Peer Reviewed
• [Journal Article] A Semiparametric Covariance Estimator Immune to Arbitrary Signal Drift (2013)
  • Author(s): Keiji Miura
  • Journal Title: Interdisciplinary Information Sciences Volume: 19 Issue: 1 Pages: 35-41
  • DOI: 10.4036/iis.2013.35
  • NAID: 110009795567
  • ISSN: 1340-9050, 1347-6157
  • Peer Reviewed
• [Journal Article] Odor representations in olfactory cortex: distributed rate coding and decorrelated population activity (2012)
  • Author(s): Keiji Miura, Zachary F. Mainen, Naoshige Uchida
  • Journal Title: Neuron Volume: 74 Issue: 6 Pages: 25-35
  • DOI: 10.1016/j.neuron.2012.04.021
  • Peer Reviewed
• [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
• [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
• [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
• [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
• [Presentation] A Pulse Current Synchronization Scheme for Spin Torque Nano Oscillators (2015)
  • 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
  • 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
• [Presentation] Scaling of Hodge-Kodaira decomposition distinguishes learning rules of neural networks (2015)
  • Author(s): Keiji Miura, Takaaki Aoki
  • Organizer: ICIAM 2015
  • Place of Presentation: Beijing (China)
  • Year and Date: 2015-08-10
  • Int'l Joint Research
• [Presentation] Pulse-coupled Synchronization in an Array of Spin Torque Nano Oscillators (2015)
  • Author(s): Kazuki Nakada, Keiji Miura
  • Organizer: INTERMAG 2015
  • Place of Presentation: Beijing (China)
  • Year and Date: 2015-05-15
  • Int'l Joint Research
• [Presentation] 位相記述法に基づくシリコンニューロンの遅延誘起同期機構の最適化設計 (2015)
  • Author(s): 中田一紀，三浦佳二
  • Organizer: 応用数理学会研究部会, 数理設計セッション
  • Place of Presentation: 東京都
  • Year and Date: 2015-03-06 – 2015-03-07
• [Presentation] Hodge-Kodaira Decomposition of Evolving Neural Networks (2015)
  • Author(s): Keiji Miura, Takaaki Aoki
  • Organizer: Topics in Differential Geometry and its Discretizations
  • Place of Presentation: Sendai
  • Year and Date: 2015-01-10 – 2015-01-12
• [Presentation] 時間発展するネットワークのHodge-小平分解による構造解析 (2014)
  • Author(s): 三浦佳二，青木高明
  • Organizer: 応用数学合同研究集会
  • Place of Presentation: 滋賀県大津市
  • Year and Date: 2014-12-18 – 2014-12-20
• [Presentation] Optimal Design of Silicon Spiking Neurons based on Phase Description (2014)
  • Author(s): Kazuki Nakada, Keiji Miura
  • Organizer: BMEiCON 2014
  • Place of Presentation: Fukuoka
  • Year and Date: 2014-11-26 – 2014-11-28
• [Presentation] Hodge-Kodaira Decomposition of Evolving Networks (2014)
  • Author(s): Keiji Miura
  • Organizer: 2014 Bilateral Workshop between Tohoku University and National Tsing Hua University
  • Place of Presentation: Miyagi
  • Year and Date: 2014-11-21 – 2014-11-22
  • Invited
• [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
  • Invited
• [Presentation] Phase reductions of coupled oscillators and its applications (2014)
  • Author(s): Keiji Miura, Kazuki Nakada
  • Organizer: Modeling, Simulation and Analysis of Pattern Formation
  • Place of Presentation: Sendai
  • Year and Date: 2014-07-26 – 2014-07-27
  • Invited
• [Presentation] Neural Implementation of Shape-Invariant Touch Counter Based on Euler Calculus (2014)
  • Author(s): Keiji Miura, Kazuki Nakada
  • Organizer: SIAM Annual Meeting
  • Place of Presentation: Chicago, USA
  • Year and Date: 2014-07-08 – 2014-07-11
• [Presentation] Near zero noise correlations underlie efficient population codes in olfactory cortex (2013)
  • Author(s): 三浦 佳二
  • Organizer: 脳と心のメカニズム 冬のワークショップ
  • Place of Presentation: ルスツ、北海道
  • Invited
• [Presentation] An unbiased estimator of noise correlations under signal drift (2012)
  • Author(s): Keiji Miura
  • Organizer: SIAM Annual Meeting
  • Place of Presentation: Minneapolis, USA
• [Presentation] Fast, efficient population codes in olfactory cortex through decorrelation and synchronization to theta-frequency sniffing (2012)
  • Author(s): Keiji Miura, Zachary F. Mainen, Naoshige Uchida
  • Organizer: 包括脳 脳と心のメカニズム 夏のワークショップ
  • Place of Presentation: 仙台
• [Presentation] Near zero noise correlations underlie efficient population codes in olfactory cortex (2012)
  • Author(s): Keiji Miura, Zachary F. Mainen, Naoshige Uchida
  • Organizer: Neuroscience 2012
  • Place of Presentation: Nagoya
  • Invited
• [Presentation] Near zero noise correlations underlie efficient population codes in olfactory cortex (2012)
  • Author(s): Keiji Miura
  • Organizer: RIKEN BSI Forum
  • Place of Presentation: Saitama
  • Invited
• [Presentation] 位相縮約に基づくシリコンニューロンのダイナミカルシステムデザイン (2012)
  • Author(s): 中田 一紀, 三浦 佳二, 浅井 哲也
  • Organizer: ニューロコンピューティング研究会(NC)
  • Place of Presentation: 北九州
• [Presentation] Clock Synchronization Protocol Using Resonate-and-Fire Type of Pulse-Coupled Oscillators for Wireless Sensor Networks (2012)
  • Author(s): Kazuki Nakada, Keiji Miura
  • Organizer: ICONIP 2012
  • Place of Presentation: Doha, Qatar
• [Presentation] Silicon Neuron Design based on Phase Reduction Analysis (2012)
  • Author(s): Kazuki Nakada, Keiji Miura, Tetsuya Asai
  • Organizer: SCIS-ISIS 2012
  • Place of Presentation: Kobe
• [Presentation] Synchronization Analysis of Resonate-and-Fire Neuron Models with Delayed Resets (2012)
  • Author(s): Keiji Miura, Kazuki Nakada
  • Organizer: SCIS-ISIS 2012
  • Place of Presentation: Kobe
• [Presentation] Effects of Noise Correlations on Population Coding (2012)
  • Author(s): Keiji Miura
  • Organizer: SCIS-ISIS 2012
  • Place of Presentation: Kobe
• [Presentation] Dynamical Systems Design of Nonlinear Oscillators using Phase Reduction Approach (2012)
  • Author(s): Kazuki Nakada, Keiji Miura, Tetsuya Asai, Hisa-aki Tanaka
  • Organizer: IEEE APCCAS 2012
  • Place of Presentation: Kaohsiung, Taiwan
• [Presentation] Estimating intrinsic noise correlations under arbitrary signal drift (2012)
  • Author(s): 三浦 佳二
  • Organizer: 「情報統計力学の最前線 ―確率が繋ぐ自然現象と情報処理の数理―」(YSM-SPIP 2012)
  • Place of Presentation: 仙台
  • Invited
• [Presentation] Effects of Noise Correlations on Population Coding
  • Author(s): Keiji Miura
  • Organizer: Francis Crick Symposium on Neuroscience: The Changing Brain
  • Place of Presentation: Shanghai, China
• [Presentation] Dynamical Systems Design of Silicon Neurons using Phase Reduction Method
  • Author(s): Kazuki Nakada, Keiji Miura, Tetsuya Asai
  • Organizer: Neuro2013
  • Place of Presentation: Kyoto
• [Presentation] Neural implementation of shape-invariant touch counter based on Euler calculus
  • Author(s): Keiji Miura, Kazuki Nakada
  • Organizer: ISNNE(The 1st International Symposium on Neuromorphic and Nonlinear Engineering)
  • Place of Presentation: Tokyo
• [Presentation] 非定常な神経活動からのノイズ相関の推定
  • Author(s): 三浦佳二
  • Organizer: 神経科学と統計科学の対話４
  • Place of Presentation: 東京
  • Invited
• [Book] 嗅覚と匂い・香りの産業利用最前線 (2013)
  • Author(s): 三浦 佳二
  • Publisher: NTS