R/basis.osplines.r

# Multisensi R package ; file basis.osplines.r (last modified: 2016-02-03) 
# Authors: C. Bidot, M. Lamboni, H. Monod
# Copyright INRA 2011-2018 
# MaIAGE, INRA, Univ. Paris-Saclay, 78350 Jouy-en-Josas, France
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#===========================================================================
basis.osplines <- function(simuls, basis.args=list(knots=5, mdegree=3))
#===========================================================================
{
  ## fait la decomposition sur une base O-splines definie par les parametres knots et mdegree
  ## utilise sesBsplinesORTHONORM()

  ## INPUTS
  ## simuls     : data.frame sur laquelle faire la decomposition (sortie des simulations du modele)
  ## basis.args : arguments specifiques a la methode de decomposition sous forme de list
  ## - knots    : nombre de noeuds ou vecteur avec leurs positions (5 par defaut)
  ## - mdegree  : degre des Osplines (3 par defaut)
  ## - x.coord  : coordonnees ou calculer les valeurs des Osplines (optionnel, 1:ncol(simuls) par defaut)

  ## OUTPUTS
  ## H          : coefficients associes a la base de decomposition
  ##              de taille nrow(simuls) x nbsplines (nbsplines = knots+mdegree)
  ## L          : matrice des vecteurs de la base O-splines
  ##              de taille ncol(simuls) x nbsplines
  ##  NB : simuls ~ H %*% t(L)
  ## call.info  : contient des indications sur la fonction utilisee, call.info$reduction="o-splines"

  b.args=basis.args
  # definition des valeurs par defaut des arguments
  if(is.null(basis.args$knots)){
    b.args$knots=5;
#    cat("Warning : basis.osplines argument 'knots' not given,\n          default value 'knots=5' used.\n")
  }
  if(is.null(basis.args$mdegree)){
    b.args$mdegree=3;
#    cat("Warning : basis.osplines argument 'mdegree' not given,\n          default value 'mdegree=3' used.\n")
  }
  if(is.null(basis.args$x.coord)){
    b.args$x.coord=seq(1,ncol(simuls));
#    cat("Warning : basis.osplines argument 'x.coord' not given,\n          default value 'x.coord=1:",ncol(simuls),"' used.\n")
  }else if(length(b.args$x.coord)!=ncol(simuls)){
    stop("basis.osplines argument 'x.coord' length not adequate,\n         length(x.coord) must be ",ncol(simuls)," (",length(b.args$x.coord)," used).\n")
  }


  ##calcul des splines normees
  spl=sesBsplinesORTHONORM(x=b.args$x.coord,knots=b.args$knots,m=b.args$mdegree)

  # nb de splines = knots+mdegree
  # spl$projecteur de taille nbsplines x ncol(simuls) equivaut bsplines^(-1)
  # spl$osplines de taille ncol(simuls) x nbsplines

  ## calcul de H (H=Y.L^-1):
  # t(L) %*% t(spl$projecteur) = I et spl$projecteur %*% L = I
  # H*t(L) = Y => H*t(L) * t(spl$projecteur) = Y * t(spl$projecteur) => H =  Y * t(spl$projecteur)
  coefspl2 = as.matrix(simuls)%*%t(spl$projecteur);

  # coefspl2 de taille nrow(simuls) x nbsplines

  return(list(H=coefspl2,     # taille nrow(simuls) x nbsplines
              L=spl$osplines, # taille ncol(simuls) x nbsplines
              call.info=list(reduction="o-splines")
              )
        )
}

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multisensi documentation built on May 2, 2019, 2:14 p.m.