mu_d_rho_tilde_faster: Calculate derivative of mu_i with respect to a row of...

In statdivlab/tinyvamp: Modeling complex measurement error in microbiome experiments

Calculate derivative of mu_i with respect to a row of matrix-valued parameter rho_tilde

Description

Calculate derivative of mu_i with respect to a row of matrix-valued parameter rho_tilde

Usage

mu_d_rho_tilde_faster(
  i,
  J,
  k_tilde,
  gammas,
  B,
  rho_tilde_k,
  A_tilde_k_list,
  fixed_P_tilde_multipliers,
  X_tilde,
  Z_tilde,
  Z_tilde_gamma_cols,
  alpha_tilde = NULL,
  Z_tilde_list = NULL,
  gamma_tilde,
  proportion_scale = FALSE
)

Arguments

i	The sample index (must be in 1, ..., n)
J	The total number of taxa modeled
k_tilde	Row index (which row of rho_tilde with respect to which to take derivative)
gammas	Numeric vector of read intensities
B	Detection efficiency matrix
rho_tilde_k	Value of kth row of rho_tilde
A_tilde_k_list	List containing matrices that map back-transformed rho_tilde to entries of P_tilde
fixed_P_multipliers	Numeric vector of length K containing values in (0,1] equal to 1 - sum(fixed relative abundances in row k of P_tilde)

Value

A derivative d mu_i / d rho_tilde_k

statdivlab/tinyvamp documentation built on July 28, 2023, 11:21 p.m.