Calculate derivative of mu_ij with respect to a row of matrix-valued parameter rho

Calculate derivative of mu_ij with respect to a row of matrix-valued parameter rho

Usage

mu_d_rho_faster(
  i,
  J,
  k,
  gammas,
  B,
  X,
  Z,
  Ak_list,
  rho_k,
  fixed_P_multipliers,
  proportion_scale = FALSE
)

Arguments

i

The sample index (must be in 1, ..., n)

J

The total number of taxa modeled

k

Row index (which row of rho with respect to which to take derivative)

gammas

Numeric vector of read intensities

B

Detection efficiency matrix

X

The efficiency design matrix (n x p)

Z

The sample design matrix (n x K)

Ak_list

List containing matrices that map back-transformed rho to entries of P

rho_k

Value of kth row of rho

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) Z_tilde to scale by exp(gamma); NULL if no columns to be scaled

proportion_scale

No idea

Value

A derivative d mu_i / d rho_k