dot-bf_case_glm_no_corr: GLM Without GEE: Damped Newton-Raphson + Backfitting (Case d)

In lgspline: Lagrangian Multiplier Smoothing Splines for Smooth Function Estimation

GLM Without GEE: Damped Newton-Raphson + Backfitting (Case d)

Description

Damped Newton-Raphson outer loop wrapping the weighted backfitting inner loop. Each damped Newton-Raphson step computes weights from the current linear predictor, then calls .bf_inner_weighted.

Usage

.bf_case_glm_no_corr(
  X,
  y,
  K,
  p_expansions,
  split,
  family,
  order_list,
  glm_weight_function,
  need_dispersion_for_estimation,
  dispersion_function,
  observation_weights,
  iterate,
  tol,
  max_backfit_iter,
  parallel_eigen,
  parallel_qr = FALSE,
  cl,
  chunk_size,
  num_chunks,
  rem_chunks,
  schur_zero,
  unique_penalty_per_partition,
  VhalfInv,
  verbose,
  constraint_values = list(),
  ...
)

Arguments

X	List of K+1 design matrices (N_k \times p_expansions). Unwhitened even when GEE.
y	List of K+1 response vectors. Unwhitened even when GEE.
K	Integer; number of interior knots.
p_expansions	Integer; number of coefficients per partition.
split	Output of .bf_split_components.
family	GLM family object.
order_list	List of observation index vectors by partition.
glm_weight_function	GLM weight function.
need_dispersion_for_estimation	Logical.
dispersion_function	Dispersion estimation function.
observation_weights	List of observation weights.
iterate	Logical; if FALSE, single pass (no iteration).
tol	Convergence tolerance.
max_backfit_iter	Integer.
parallel_eigen, cl, chunk_size, num_chunks, rem_chunks	Parallel arguments.
schur_zero	List of zeros.
unique_penalty_per_partition	Logical.
VhalfInv	Inverse square root of the working correlation matrix in the original observation ordering. When both are non-NULL, the GEE paths are used.
verbose	Logical.
constraint_values	List of constraint right-hand sides.
...	Additional arguments passed to weight and dispersion functions.

Value

A named list with beta_spline and beta_flat.

lgspline documentation built on Aug. 5, 2026, 1:10 a.m.