Description Usage Arguments Value Examples
View source: R/Fitting_algorithm.R
Get the estimation of Eigenfunctions using the estimators from the results of train_function
1 | Estimate_Eigenfunction(est_beta, r, M1, Spline_func)
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est_beta |
the estimator of beta prameters, usually is the results from train_function |
r |
the number of eigenfunctions |
M1 |
the dimension of basis with respect to time t in mean function. |
Spline_func |
the spline basis function used approximate the mean and eigenfunction |
a list contains the estimation of eigenfunctions and the corresponding time sequence and covariate sequence
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 | tmin = 0 # the start point of the curve
tmax = 1 # the end point of the curve, i.e. the cuvre's regin is from tmin to tmax
ymin = 0 # the minimum of the covariates
ymax = 1 # the maximum of the covariate
num_bin = 20 # number of bin in initial steps of our algorithm
order = 4 # spline order
nknots =8 # number of knots
splineObj_t = new(orthoSpline,tmin,tmax,order,nknots)
# degree freedom of spline basis
M1 = splineObj_t$getDoF()
## basis with respect to y to get the tensor product basis
yknots = 3
splineObj_y = new(orthoSpline,ymin,ymax,order,(yknots))
# degree freedom of spline basis
M2 = splineObj_y$getDoF()
## basis with d that is in matrix C
# basis with respect y (d^T), in C matrix
dknots = 5
splineObj_d = new(orthoSpline,ymin,ymax,order,dknots)
# degree freedom of spline basis
M3 = splineObj_d$getDoF()
k = M3
Spline_func = c(splineObj_t,splineObj_d,splineObj_y)
## set the number of principle components
Eig_num = r = 3
## the the number of spline basis used
## spline basis for t
M1 = 10
M2 = 5
M3 = k = 7
theta = rep(0,M1*M2)
sigma2 = 0.01
beta = rep(0,r*M1*M3)
parameter_best = train_function (Data_generated = Data_generated,Eig_num = Eig_num,k = k, beta = beta,theta = theta,sigma2 = sigma2)
mean_func = function(t,covariate){return(30*(t - covariate)^2)}
get_mean_compare(mean_func = mean_func,Spline_func = Spline_func,theta_est = parameter_best$theta)
eigen_function_estimation = Estimate_Eigenfunction (est_beta = parameter_best$beta,r = r,M1 = M1,Spline_func = Spline_func)
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