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diagnostic

The 'diagnostic' function


Description

This function is used to perform diagnostic procedure to compute the residual and make diagnostic plots.

Usage

diagnostic(infer_list, index, type, qq_plot)

Arguments

infer_list

a list of inference results including ode objects and inference objects.

index

the index of the ode states which the user want to do the diagnostic analysis.

type

character containing the type of inference methods. User can choose 'rkg', 'third', or 'warp'.

qq_plot

boolean variable, enable or disable the plotting function.

Details

Arguments of the 'diagnostic' function are inference list , inference type, a list of interpolations for each of the ode state from gradient matching, and . It returns a vector of the median absolute standard deviations for each ode state.

Value

return list containing :

  • residual - vector containing residual.

  • interp - vector containing interpolation.

Author(s)

Examples

## Not run: 
require(mvtnorm)
set.seed(SEED);  SEED = 19537
FN_fun <- function(t, x, par_ode) {
a = par_ode[1]
b = par_ode[2]
c = par_ode[3]
as.matrix(c(c*(x[1]-x[1]^3/3 + x[2]),-1/c*(x[1]-a+b*x[2])))
}

solveOde = ode$new(sample=2,fun=FN_fun)
xinit = as.matrix(c(-1,-1))
tinterv = c(0,10)
solveOde$solve_ode(par_ode=c(0.2,0.2,3),xinit,tinterv)

n_o = max(dim(solveOde$y_ode))
noise = 0.01 
y_no = t(solveOde$y_ode)+rmvnorm(n_o,c(0,0),noise*diag(2))
t_no = solveOde$t

odem = ode$new(fun=FN_fun,grfun=NULL,t=t_no,ode_par=rep(c(0.1),3),y_ode=t(y_no))
ktype = 'rbf'
rkgres = rkg(odem,y_no,ktype)
rkgdiag = diagnostic( rkgres,1,'rkg',qq_plot=FALSE )

## End(Not run)

KGode

Kernel Based Gradient Matching for Parameter Inference in Ordinary Differential Equations

v1.0.3
GPL (>= 2)
Authors
Mu Niu [aut, cre]
Initial release

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