get_elts_gamma: The R implementation to get the elements necessary for...
In genscore: Generalized Score Matching Estimators

get_elts_gamma

R Documentation

The R implementation to get the elements necessary for calculations for the gamma setting (a=0.5, b=0).

Description

The R implementation to get the elements necessary for calculations for the gamma setting (a=0.5, b=0).

Usage

get_elts_gamma(
  hdx,
  hpdx,
  x,
  centered = TRUE,
  profiled_if_noncenter = TRUE,
  scale = "",
  diagonal_multiplier = 1
)

Arguments

`hdx`	A matrix, `h(\mathbf{x})` applied to the distance of x from the boundary of the domain, should be of the same dimension as `x`.
`hpdx`	A matrix, `h'(\mathbf{x})` applied to the distance of x from the boundary of the domain, should be of the same dimension as `x`.
`x`	An `n` by `p` matrix, the data matrix, where `n` is the sample size and `p` the dimension.
`centered`	A boolean, whether in the centered setting (assume `\boldsymbol{\mu}=\boldsymbol{\eta}=0`) or not. Default to `TRUE`.
`profiled_if_noncenter`	A boolean, whether in the profiled setting (`\lambda_{\boldsymbol{\eta}}=0`) if non-centered. Parameter ignored if centered=TRUE. Default to `TRUE`.
`scale`	A string indicating the scaling method. Returned without being checked or used in the function body. Default to `"norm"`.
`diagonal_multiplier`	A number >= 1, the diagonal multiplier.

Details

For details on the returned values, please refer to get_elts_ab or get_elts.

Value

A list that contains the elements necessary for estimation.

`n`	The sample size.
`p`	The dimension.
`centered`	The centered setting or not. Same as input.
`scale`	The scaling method. Same as input.
`diagonal_multiplier`	The diagonal multiplier. Same as input.
`diagonals_with_multiplier`	A vector that contains the diagonal entries of `\boldsymbol{\Gamma}` after applying the multiplier.
`setting`	The setting `"gamma"`.
`g_K`	The `\boldsymbol{g}` vector. In the non-profiled non-centered setting, this is the `\boldsymbol{g}` sub-vector corresponding to `\mathbf{K}`.
`Gamma_K`	The `\boldsymbol{\Gamma}` matrix with no diagonal multiplier. In the non-profiled non-centered setting, this is the `\boldsymbol{\Gamma}` sub-matrix corresponding to `\mathbf{K}`.
`g_eta`	Returned in the non-profiled non-centered setting. The `\boldsymbol{g}` sub-vector corresponding to `\boldsymbol{\eta}`.
`Gamma_K_eta`	Returned in the non-profiled non-centered setting. The `\boldsymbol{\Gamma}` sub-matrix corresponding to interaction between `\mathbf{K}` and `\boldsymbol{\eta}`.
`Gamma_eta`	Returned in the non-profiled non-centered setting. The `\boldsymbol{\Gamma}` sub-matrix corresponding to `\boldsymbol{\eta}`.
`t1,t2`	Returned in the profiled non-centered setting, where the `\boldsymbol{\eta}` estimate can be retrieved from `\boldsymbol{t_1}-\boldsymbol{t_2}\hat{\mathbf{K}}` after appropriate resizing.

Examples

n <- 50
p <- 30
eta <- rep(0, p)
K <- diag(p)
domain <- make_domain("R+", p=p)
x <- gen(n, setting="gamma", abs=FALSE, eta=eta, K=K, domain=domain, finite_infinity=100,
       xinit=NULL, seed=2, burn_in=1000, thinning=100, verbose=FALSE)
h_hp <- get_h_hp("min_pow", 1.5, 3)
h_hp_dx <- h_of_dist(h_hp, x, domain) # h and h' applied to distance from x to boundary
elts <- get_elts_gamma(h_hp_dx$hdx, h_hp_dx$hpdx, x, centered=TRUE, scale="norm", diag=1.5)
elts <- get_elts_gamma(h_hp_dx$hdx, h_hp_dx$hpdx, x, centered=FALSE, profiled_if_noncenter=TRUE,
       scale="norm", diag=1.7)
elts <- get_elts_gamma(h_hp_dx$hdx, h_hp_dx$hpdx, x, centered=FALSE, profiled_if_noncenter=FALSE,
       scale="norm", diag=1.9)

genscore documentation built on May 31, 2023, 6:28 p.m.