Wrapper for unif_grad_simp, but useful for optim where only update Z.
1 2  | only_Z_grad(Z, pi_vals, scale_val, lambda, alpha, Y, a_seq, b_seq, sig_diag,
  likelihood = "normal", df = NULL)
 | 
Z | 
 A k by 1 matrix of numerics. The confounders.  | 
pi_vals | 
 A M vector of numerics. The mixing probs.  | 
scale_val | 
 A positive numeric. The variance inflation parameter.  | 
lambda | 
 A vector. This is a length   | 
alpha | 
 A matrix. This is of dimension   | 
Y | 
 A matrix of dimension   | 
a_seq | 
 A vector of negative numerics containing the left endpoints of the mixing uniforms.  | 
b_seq | 
 A vector of positiv numerics containing the right endpoints of the mixing uniforms.  | 
sig_diag | 
 A vector of length   | 
likelihood | 
 Can be   | 
df | 
 A positive numeric. The degrees of freedom if the likelihood is t.  | 
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