Functional principal component analysis via regularized Gaussian basis expansions and its application to unbalanced data

[1]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[2]  Carl de Boor,et al.  A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[3]  J. Ramsay,et al.  Principal components analysis of sampled functions , 1986 .

[4]  B. Silverman,et al.  Estimating the mean and covariance structure nonparametrically when the data are curves , 1991 .

[5]  B. Silverman,et al.  Nonparametric Regression and Generalized Linear Models: A roughness penalty approach , 1993 .

[6]  B. Silverman,et al.  Nonparametric Regression and Generalized Linear Models: A roughness penalty approach , 1993 .

[7]  G. Kitagawa,et al.  Generalised information criteria in model selection , 1996 .

[8]  Robert E. Weiss,et al.  An Analysis of Paediatric Cd4 Counts for Acquired Immune Deficiency Syndrome Using Flexible Random Curves , 1996 .

[9]  Paul H. C. Eilers,et al.  Flexible smoothing with B-splines and penalties , 1996 .

[10]  B. Silverman,et al.  Smoothed functional principal components analysis by choice of norm , 1996 .

[11]  Trevor J. Hastie,et al.  Regression analysis of multiple protein structures , 1998, RECOMB '98.

[12]  Clifford M. Hurvich,et al.  Smoothing parameter selection in nonparametric regression using an improved Akaike information criterion , 1998 .

[13]  E. Ziegel,et al.  Proceedings in Computational Statistics , 1998 .

[14]  Catherine A. Sugar,et al.  Principal component models for sparse functional data , 1999 .

[15]  Chris H. Q. Ding,et al.  Multi-class protein fold recognition using support vector machines and neural networks , 2001, Bioinform..

[16]  Colin O. Wu,et al.  Nonparametric Mixed Effects Models for Unequally Sampled Noisy Curves , 2001, Biometrics.

[17]  Henry W. Altland,et al.  Applied Functional Data Analysis , 2003, Technometrics.

[18]  Seiya Imoto,et al.  Selection of smoothing parameters inB-spline nonparametric regression models using information criteria , 2003 .

[19]  Kenji Kajiwara,et al.  Soliton Solutions for the Non-autonomous Discrete-time Toda Lattice Equation , 2004, nlin/0412050.

[20]  Tatsuro Sato,et al.  On Reversible Cellular Automata with Finite Cell Array , 2005, UC.

[21]  Yasuhiro Ohta,et al.  Hypergeometric solutions to the q-painlevé equations , 2004, nlin/0403036.

[22]  Kimura Masato,et al.  Precise Asymptotic Behaviour of the First Eigenvalue of Sturm-Liouville Problems with Large Drift , 2005 .

[23]  Masayuki Uchida,et al.  Approximate martingale estimating functions under small perturbations of dynamical systems , 2005 .

[24]  H. Müller,et al.  Functional Data Analysis for Sparse Longitudinal Data , 2005 .

[25]  Masayuki Uchida,et al.  Estimation for a discretely observed small diffusion process with a linear drift , 2005 .

[26]  Peter J. Green,et al.  Bayesian alignment using hierarchical models, with applications in protein bioinformatics , 2005 .

[27]  Kouji Hashimoto,et al.  A computational approach to constructive a priori and a posteriori error estimates for finite element approximations of bi-harmonic problems , 2005 .

[28]  Masahisa Tabata,et al.  Numerical computations of a melting glass convection in the furnace , 2006 .

[29]  Sadanori Konishi,et al.  Multi-class logistic discrimination via wavelet-based functionalization and model selection criteria , 2006 .

[30]  Kouji Hashimoto,et al.  A computational approach to constructive a priori error estimate for finite element approximations of bi-harmonic problems in nonconvex polygonal domains , 2006 .

[31]  Masato Kimura,et al.  Quantitative study of adaptive mesh FEM with localization index of pattern , 2006 .

[32]  Sadanori Konishi,et al.  Nonlinear regression modeling via regularized wavelets and smoothing parameter selection , 2006 .

[33]  Kenji Kajiwara,et al.  Hypergeometric solutions to the q-Painlevé equation of type A(1)4 , 2006, nlin/0701001.

[34]  Kenji Kajiwara,et al.  Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation , 2005, nlin/0512041.

[35]  Anargyros Papageorgiou,et al.  Exact cubature for a class of functions of maximum effective dimension , 2006, J. Complex..

[36]  Generic sextic polynomial related to the subfield problem of a cubic polynomial , 2006 .

[37]  F. Yao,et al.  Penalized spline models for functional principal component analysis , 2006 .

[38]  Hiroshi Kawabi,et al.  The Littlewood-Paley-Stein inequality for diffusion processes on general metric spaces , 2006 .

[39]  Ken-ichi M Aruno,et al.  Determinant Form of Dark Soliton Solutions of the Discrete Nonlinear Schrödinger Equation , 2006 .

[40]  木村 正人,et al.  New mathematical approach to the energy release rate in crack extension , 2006 .

[41]  Satoshi Kaizu,et al.  Finite Element Schemes for Two-Fluids Flow Problems , 2006 .

[42]  Masahiro Mizuta.  Discrete functional data analysis , 2006 .

[43]  G. Kitagawa,et al.  Information Criteria and Statistical Modeling , 2007 .

[44]  T. Ohyama,et al.  Human finger vein images are diverse and its patterns are useful for personal identification , 2007 .

[45]  Hidefumi Kawasaki,et al.  Kyushu University Institutional Repository DISCRETE FIXED POINT THEOREMS AND THEIR APPLICATION TO NASH EQUILIBRIUM , 2022 .

[46]  Yasuhiro Ohta,et al.  A remark on the Hankel determinant formula for solutions of the Toda equation , 2007, nlin/0701029.

[47]  Energy of hydrodynamic and magnetohydrodynamic waves with point and continuous spectra , 2007 .

[48]  Yuzuru Inahama,et al.  Asymptotic expansions for the Laplace approximations for Itô functionals of Brownian rough paths , 2007 .

[49]  Kouji Hashimoto,et al.  Numerical verification of stationary solutions for Navier-Stokes problems , 2007 .

[50]  Kouji Hashimoto,et al.  Verified numerical computation of solutions for the stationary Navier-Stokes equation in nonconvex polygonal domains , 2007 .

[51]  Michael Röckner,et al.  Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach , 2007 .

[52]  On the global uniqueness of Stokes’ wave of extreme form , 2007 .

[53]  Z. Q. John Lu,et al.  Nonparametric Functional Data Analysis: Theory And Practice , 2007, Technometrics.

[54]  S. Konishi,et al.  Nonlinear regression modeling via regularized radial basis function networks , 2008 .

[55]  Takehiko Kinoshita,et al.  Some remarks on the behaviour of the finite element solution in nonsmooth domains , 2008, Appl. Math. Lett..

[56]  Hyen Yeal Lee,et al.  PERIODIC BEHAVIORS OF QUANTUM CELLULAR AUTOMATA , 2008 .

[57]  Yoshiyuki Kagei,et al.  Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain , 2008 .

[58]  Masakazu Suzuki,et al.  Mathematical symbol recognition with support vector machines , 2007, Pattern Recognit. Lett..

[59]  Heng Tao Shen,et al.  Principal Component Analysis , 2009, Encyclopedia of Biometrics.

[60]  Yoshitaka Watanabe,et al.  A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh–Bénard problems , 2009, Numerische Mathematik.

[61]  K. Hashimoto,et al.  Constructive error estimates of finite element approximations for non-coercive elliptic problems and its applications , .