1d:T7c9,# Adaptive smoothing spline estimator for the function-on-function linear regression model Implements the adaptive smoothing spline estimator for the function-on-function linear regression model described in Centofanti et al. (2023) tools:::Rd_expr_doi("10.1007/s00180-022-01223-6") . package ## Details ||| |:--|:--| |Package:|adass| |Type:|Package| |Version:|1.0.1| |Date:|2024-07-16| |License:|GPL (>= 3) + file LICENSE| ## Examples ```r library(adass) data<-simulate_data("Scenario HAT",n_obs=100) X_fd=data$X_fd Y_fd=data$Y_fd basis_s <- fda::create.bspline.basis(c(0,1),nbasis = 10,norder = 4) basis_t <- fda::create.bspline.basis(c(0,1),nbasis = 10,norder = 4) mod_smooth <-adass.fr(Y_fd,X_fd,basis_s = basis_s,basis_t = basis_t,tun_par=c(10^-6,10^-6,0,0,0,0)) grid_s<-seq(0,1,length.out = 10) grid_t<-seq(0,1,length.out = 10) beta_der_eval_s<-fda::eval.bifd(grid_s,grid_t,mod_smooth$Beta_hat_fd,sLfdobj = 2) beta_der_eval_t<-fda::eval.bifd(grid_s,grid_t,mod_smooth$Beta_hat_fd,tLfdobj = 2) mod_adsm<-adass.fr_eaass(Y_fd,X_fd,basis_s,basis_t, beta_ders=beta_der_eval_s, beta_dert=beta_der_eval_t, rand_search_par=list(c(-8,4),c(-8,4),c(0,0.1),c(0,4),c(0,0.1),c(0,4)), grid_eval_ders=grid_s, grid_eval_dert=grid_t, popul_size = 2,ncores=1,iter_num=1) mod_opt <-adass.fr(Y_fd, X_fd, basis_s = basis_s, basis_t = basis_t, tun_par=mod_adsm$tun_par_opt,beta_ders = beta_der_eval_s, beta_dert = beta_der_eval_t,grid_eval_ders=grid_s,grid_eval_dert=grid_t ) plot(mod_opt) ``` ## References Centofanti, F., Lepore, A., Menafoglio, A., Palumbo, B., Vantini, S. (2023). Adaptive Smoothing Spline Estimator for the Function-on-Function Linear Regression Model. **Computational Statistics 38(1), 191–216**. ## See Also `adass.fr`, `adass.fr_eaass` ## Author(s) Fabio Centofanti, Antonio Lepore, Alessandra Menafoglio, Biagio Palumbo, Simone Vantini1e:T49a,M7.49933 0.25C3.49635 0.25 0.25 3.49593

adass-package