Research field (2):
Applied mathematics and statistics
, Statistical science
Research keywords (10):
Geometry of Random Field
, Volumes-of-tube method
, Minkowski functional
, Integral Geometry
, Topological Data Anlaysis
, Multiple Comparisons
, Multivariate Analysis
, Random matrices
, Copula
, Graphical Models
Research theme for competitive and other funds (33):
2021 - 2025 確率場データ解析のための積分・位相幾何的手法と期待オイラー標数法の新展開
2015 - 2022 ソフトマター記述言語の創造に向けた位相的データ解析理論の構築
2016 - 2021 Developments of the theory and applications of the expected Euler characteristic method and related mathematics
2014 - 2017 EM algorithm for estimating the Bernstein copula
2014 - 2017 New developments of statistical data analysis with algebraic topology
2013 - 2017 A study on statistical inference and inference algorithm by using combinatorial algebra for big data analyses
2012 - 2017 Computation of a joint distribution for scan statistics with temporal-spatial structures
2012 - 2016 Tensor rank problem and multivariate analysis of tensor normal distributions
2010 - 2014 Developments of mathematical statistics through computational algebraic methods
2008 - 2014 現代の産業社会とグレブナー基底の調和
2010 - 2012 Theory and practice for inference of high dimensional statistical model with computational algebraic geometry.
2008 - 2012 Integration of Statistics and Machine Learning for Combining Prediction, Knowledge Discovery and Inference.
2009 - 2011 Fast numerical computation for multivariate distributions with combinatorial structure and its application to spatial epidemiology
2008 - 2010 A study of analysis of high dimensional array data through computational algebraic statistical methods and it's application to statistical image analysis
2007 - 2010 Theory and Applications for Mathematical Methods in Statistical Science
2006 - 2009 Developments of computational algebraic statistics
2006 - 2008 Multiple comparisons procedures based on integral geometry and sequential analysis and their applications to genetic linkage analysis
2004 - 2007 New statistical methodology for genome diversity analysis
2003 - 2005 Study on the theories and the applications of multivariate simultaneous statistical issues
2003 - 2005 Study on Euler characteristic heuristics in distribution theory of random field
2002 - 2005 The Foundation of Mathematical Statistics on Quantum Inference and Its Applications
2002 - 2004 New Development of Applied Statistical Decision Theory -Application of Multidimentional Large Deviation Theory
2001 - 2003 Fusion of Statistics, Neural-Net, Machine Learning
2001 - 2002 Statistical inference and distribution theory in exploratory projection pursuit
1998 - 2001 Researches on the Non-Regular Inference Theory and the Concepts of the Amounts of Information
1999 - 2000 Integral-geometric distribution theory of random field and its applications to multivariate analysis
1998 - 1999 Theoretical Research on Graphical Modeling and New Multivariate Analysis and the Development of the Software
1997 - 1998 母数空間が滑らかでない場合の最尤推定・尤度比検定の漸近理論とその応用
1996 - 1997 DEVELOPMENT OF ANALYSIS SYSTEM FOR QUALITY INFORMATION BY GRAPHICAL MODELLING
1996 - 1996 滑らかな凸錐を対立仮説とする尤度比検定に関する研究
1995 - 1996 Mathematical base of experimental data science and its applications
1995 - 1995 尤度比検定統計量の漸近分布の特徴づけに関する研究
1994 - 1994 不等式制約下の統計的推測理論に基づく多変量分散成分模型の研究
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Papers (77):
Siddharth Vishwanath, Kenji Fukumizu, Satoshi Kuriki, Bharath Sriperumbudur. On the Limits of Topological Data Analysis for Statistical Inference. Foundations of Data Science. 2024
Kuriki, Satoshi ISM, Matsubara, Takahiko KEK. Asymptotic expansion of the expected Minkowski functional for isotropic central limit random fields. Advances in Applied Probability. 2023. 55
Satoshi Kuriki, Akimichi Takemura, Jonathan E. Taylor. The volume-of-tube method for Gaussian random fields with inhomogeneous variance. Journal of Multivariate Analysis. 2022. 188. 104819-104819
Takahiko Matsubara, Chiaki Hikage, Satoshi Kuriki. Minkowski functionals and the nonlinear perturbation theory in the large-scale structure: Second-order effects. Physical Review D. 2022. 105. 2
Takahiko Matsubara, Satoshi Kuriki. Weakly non-Gaussian formula for the Minkowski functionals in general dimensions. Physical Review D. 2021. 104. 10
Hsien-Kuei Hwang, Satoshi Kuriki. Integrated empirical measures and generalizations of classical goodness-of-fit statistics. arXiv. 2024. arXiv:2404.06040 [math.ST]
Satoshi Kuriki. Expected Euler characteristic method for the largest eigenvalue: (Skew-)orthogonal polynomial approach. arXiv. 2023. arXiv 2308.08228 [math.PR]
Artur Bille, Victor Buchstaber, Simon Coste, Satoshi Kuriki, Evgeny Spodarev. Random eigenvalues of graphenes and the triangulation of plane. arXiv. 2023. arXiv:2306.01462
Siddharth Vishwanath, Bharath K. Sriperumbudur, Kenji Fukumizu, Satoshi Kuriki. Robust Topological Inference in the Presence of Outliers. arXiv. 2022. arXiv:2206.01795
Satoshi Kuriki. Integral geometry and statistical inference. Estrela. 2021. 331. 2-7
Encyclopedia of Statistical Data Analysis
2007 ISBN:9784254122640
特異モデルの統計学
岩波書店 2004 ISBN:4000068474
Lectures and oral presentations (85):
Minkowski functionals for non-Gaussian orthogonally invariant random fields on spheres
(Joint German-Japanese Fall School: Time Series, Random Fields and beyond 2024)
Minkowski functionals for isotropic random fields in the Euclidean space and the sphere
(International Workshop KEK-Cosmo 2024: Statistical Analysis of Random Fields in Cosmology 2024)
Bonferroni method and tube method for heavy-tailed distributions
(Statistical Theories and Machine Learning Using Geometric Methods, Osaka Metropolitan Univ. 2023)
Bonferroni method and tube method for heavy-tailed distributions
(Japanese Joint Statistical Meeting, Kyoto University 2023)
Expected Euler Characteristic Heuristic for Smooth Gaussian Random Fields with Inhomogeneous Marginals
(Risk and Statistics, 3rd Tohoku-ISM-UUlm Joint Workshop 2022)