Statistical Models based on Point Process Networks

• Project/Area Number: 23650144
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Statistical science
• Research Institution: The University of Tokyo
• Principal Investigator: KOMAKI Fumiyasu 東京大学, 情報理工学(系)研究科, 教授 (70242039)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000); Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
• Keywords: 点過程 / ベイズ統計

Outline of Final Research Achievements

A class of probabilistic input-output systems with a point process output are introduced. Statistical models useful for simulation and analysis concerning various phenomena such as neuronal firing are constructed by combining the input-output systems. A method based on shrinkage priors for simultaneous prediction and estimation for multivariate Poisson models are proposed.

Research Products

• [Journal Article] Asymptotic Properties of Bayesian Predictive Densities When the Distributions of Data and Target Variables are Different (2015)
  • Author(s): Komaki, F.
  • Journal Title: Bayesian Analysis Volume: 10 Issue: 1 Pages: 31-51
  • DOI: 10.1214/14-ba886
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Asymptotically Constant-Risk Predictive Densities When the Distributions of Data and Target Variables Are Different (2014)
  • Author(s): Yano, K. and Komaki, F.
  • Journal Title: Entropy Volume: 16 Issue: 6 Pages: 3026-3048
  • DOI: 10.3390/e16063026
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Bayesian testing of a point null hypothesis based on the latent information prior (2013)
  • Author(s): Komaki, F.
  • Journal Title: Entropy Volume: 15 Issue: 10 Pages: 4416-4431
  • DOI: 10.3390/e15104416
  • Peer Reviewed
• [Journal Article] Edge selection based on the geometry of dually flat spaces for Gaussian graphical models (2013)
  • Author(s): Hirose, Y. and Komaki, F.
  • Journal Title: Statistics and Computing Volume: ？ Issue: 6 Pages: 793-800
  • DOI: 10.1007/s11222-012-9347-3
  • Peer Reviewed
• [Journal Article] Asymptotically minimax Bayesian predictive densities for multinomial models (2012)
  • Author(s): Komaki, F.
  • Journal Title: Electronic Journal of Statistics Volume: 6 Issue: none Pages: 934-957
  • DOI: 10.1214/12-ejs700
  • Peer Reviewed
• [Journal Article] Bayesian predictive densities based on latent information priors (2011)
  • Author(s): Komaki, F.
  • Journal Title: Journal of Statistical Planning and Inference Volume: 141 Issue: 12 Pages: 3705-3715
  • DOI: 10.1016/j.jspi.2011.06.009
  • Peer Reviewed
• [Presentation] Prior Construction Based on the Predictive Metric (2014)
  • Author(s): Komaki, F.
  • Organizer: 42nd Annual Meeting of the Statistical Society of Canada
  • Place of Presentation: University of Toronto, Canada
  • Year and Date: 2014-05-28
  • Invited
• [Presentation] Statistical Analysis of Neuronal Spike Data Based on a Point Process Model (2012)
  • Author(s): Mizoe, S and Komaki, F.
  • Organizer: The 2nd Institute of Mathematical Statistics Asia Pacific Rim Meeting (IMS-APRM 2012)
  • Place of Presentation: Tsukuba International Congress Center, Japan
• [Presentation] 瞬き及び脳波入力を考慮した知覚交替の点過程モデリング (2012)
  • Author(s): 浅見征平, 北城圭一, 山口陽子, 駒木文保
  • Organizer: 第6回日本統計学会春季集会
  • Place of Presentation: 一橋大学
• [Presentation] 脳波を用いた知覚交替の点過程モデリング
  • Author(s): 松田孟留，北城圭一，山口陽子，駒木文保
  • Organizer: 2013年度 統計関連学会連合大会
  • Place of Presentation: 大阪大学 豊中キャンパス (大阪府)