Control Options for SAEM

## Usage

```
saemControl(
seed = 99,
nBurn = 200,
nEm = 300,
nmc = 3,
nu = c(2, 2, 2),
print = 1,
trace = 0,
covMethod = c("linFim", "fim", "r,s", "r", "s", ""),
calcTables = TRUE,
logLik = FALSE,
nnodesGq = 3,
nsdGq = 1.6,
optExpression = TRUE,
adjObf = TRUE,
sumProd = FALSE,
addProp = c("combined2", "combined1"),
tol = 1e-06,
itmax = 30,
type = c("nelder-mead", "newuoa"),
powRange = 10,
lambdaRange = 3,
odeRecalcFactor = 10^(0.5),
maxOdeRecalc = 5L,
perSa = 0.75,
perNoCor = 0.75,
perFixOmega = 0.1,
perFixResid = 0.1,
compress = TRUE,
rxControl = NULL,
sigdig = NULL,
sigdigTable = NULL,
ci = 0.95,
muRefCov = TRUE,
muRefCovAlg = TRUE,
...
)
```

## Arguments

- seed
Random Seed for SAEM step. (Needs to be set for reproducibility.) By default this is 99.

- nBurn
Number of iterations in the first phase, ie the MCMC/Stochastic Approximation steps. This is equivalent to Monolix's

`K_0`

or`K_b`

.- nEm
Number of iterations in the Expectation-Maximization (EM) Step. This is equivalent to Monolix's

`K_1`

.- nmc
Number of Markov Chains. By default this is 3. When you increase the number of chains the numerical integration by MC method will be more accurate at the cost of more computation. In Monolix this is equivalent to

`L`

.- nu
This is a vector of 3 integers. They represent the numbers of transitions of the three different kernels used in the Hasting-Metropolis algorithm. The default value is

`c(2,2,2)`

, representing 40 for each transition initially (each value is multiplied by 20).The first value represents the initial number of multi-variate Gibbs samples are taken from a normal distribution.

The second value represents the number of uni-variate, or multi- dimensional random walk Gibbs samples are taken.

The third value represents the number of bootstrap/reshuffling or uni-dimensional random samples are taken.

The number it iterations that are completed before anything is printed to the console. By default, this is 1.

- trace
An integer indicating if you want to trace(1) the SAEM algorithm process. Useful for debugging, but not for typical fitting.

- covMethod
Method for calculating covariance. In this discussion, R is the Hessian matrix of the objective function. The S matrix is the sum of each individual's gradient cross-product (evaluated at the individual empirical Bayes estimates).

"

`linFim`

" Use the Linearized Fisher Information Matrix to calculate the covariance."

`fim`

" Use the SAEM-calculated Fisher Information Matrix to calculate the covariance."

`r,s`

" Uses the sandwich matrix to calculate the covariance, that is: \(R^-1 \times S \times R^-1\)"

`r`

" Uses the Hessian matrix to calculate the covariance as \(2\times R^-1\)"

`s`

" Uses the crossproduct matrix to calculate the covariance as \(4\times S^-1\)"" Does not calculate the covariance step.

- calcTables
This boolean is to determine if the foceiFit will calculate tables. By default this is

`TRUE`

- logLik
boolean indicating that log-likelihood should be calculate by Gaussian quadrature.

- nnodesGq
number of nodes to use for the Gaussian quadrature when computing the likelihood with this method (defaults to 1, equivalent to the Laplacian likelihood)

- nsdGq
span (in SD) over which to integrate when computing the likelihood by Gaussian quadrature. Defaults to 3 (eg 3 times the SD)

- optExpression
Optimize the rxode2 expression to speed up calculation. By default this is turned on.

- adjObf
is a boolean to indicate if the objective function should be adjusted to be closer to NONMEM's default objective function. By default this is

`TRUE`

- sumProd
Is a boolean indicating if the model should change multiplication to high precision multiplication and sums to high precision sums using the PreciseSums package. By default this is

`FALSE`

.- addProp
specifies the type of additive plus proportional errors, the one where standard deviations add (combined1) or the type where the variances add (combined2).

The combined1 error type can be described by the following equation:

$$y = f + (a + b\times f^c) \times \varepsilon$$

The combined2 error model can be described by the following equation:

$$y = f + \sqrt{a^2 + b^2\times f^{2\times c}} \times \varepsilon$$

Where:

- y represents the observed value

- f represents the predicted value

- a is the additive standard deviation

- b is the proportional/power standard deviation

- c is the power exponent (in the proportional case c=1)

- tol
This is the tolerance for the regression models used for complex residual errors (ie add+prop etc)

- itmax
This is the maximum number of iterations for the regression models used for complex residual errors. The number of iterations is itmax*number of parameters

- type
indicates the type of optimization for the residuals; Can be one of c("nelder-mead", "newuoa")

- powRange
This indicates the range that powers can take for residual errors; By default this is 10 indicating the range is c(-10, 10)

- lambdaRange
This indicates the range that Box-Cox and Yeo-Johnson parameters are constrained to be; The default is 3 indicating the range c(-3,3)

- odeRecalcFactor
The ODE recalculation factor when ODE solving goes bad, this is the factor the rtol/atol is reduced

- maxOdeRecalc
Maximum number of times to reduce the ODE tolerances and try to resolve the system if there was a bad ODE solve.

- perSa
This is the percent of the time the `nBurn` iterations in phase runs runs a simulated annealing.

- perNoCor
This is the percentage of the MCMC phase of the SAEM algorithm where the variance/covariance matrix has no correlations. By default this is 0.75 or 75 Monte-carlo iteration.

- perFixOmega
This is the percentage of the `nBurn` phase where the omega values are unfixed to allow better exploration of the likelihood surface. After this time, the omegas are fixed during optimization.

- perFixResid
This is the percentage of the `nBurn` phase where the residual components are unfixed to allow better exploration of the likelihood surface.

- compress
Should the object have compressed items

- rxControl
`rxode2` ODE solving options during fitting, created with `rxControl()`

- sigdig
Specifies the "significant digits" that the ode solving requests. When specified this controls the relative and absolute tolerances of the ODE solvers. By default the tolerance is

`0.5*10^(-sigdig-2)`

for regular ODEs. For the sensitivity equations the default is`0.5*10\^(-sigdig-1.5)`

(sensitivity changes only applicable for liblsoda). This also controls the`atol`

/`rtol`

of the steady state solutions. The`ssAtol`

/`ssRtol`

is`0.5*10\^(-sigdig)`

and for the sensitivities`0.5*10\^(-sigdig+0.625)`

. By default this is unspecified (`NULL`

) and uses the standard`atol`

/`rtol`

.- sigdigTable
Significant digits in the final output table. If not specified, then it matches the significant digits in the `sigdig` optimization algorithm. If `sigdig` is NULL, use 3.

- ci
Confidence level for some tables. By default this is 0.95 or 95% confidence.

- muRefCov
This controls if mu-referenced covariates in `saem` are handled differently than non mu-referenced covariates. When `TRUE`, mu-referenced covariates have special handling. When `FALSE` mu-referenced covariates are treated the same as any other input parameter.

- muRefCovAlg
This controls if algebraic expressions that can be mu-referenced are treated as mu-referenced covariates by:

1. Creating a internal data-variable `nlmixrMuDerCov#` for each algebraic mu-referenced expression

2. Change the algebraic expression to `nlmixrMuDerCov# * mu_cov_theta`

3. Use the internal mu-referenced covariate for saem

4. After optimization is completed, replace `model()` with old `model()` expression

5. Remove `nlmixrMuDerCov#` from nlmix2 output

In general, these covariates should be more accurate since it changes the system to a linear compartment model. Therefore, by default this is `TRUE`.

- ...
Other arguments to control SAEM.

## Value

List of options to be used in `nlmixr2`

fit for
SAEM.

## See also

Other Estimation control:
`foceiControl()`

,
`nlmixr2NlmeControl()`