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SLEMI (version 1.0.2)

mi_logreg_testing: Testing procedures for estimation of mutual information

Description

Diagnostic procedures that allows to compute the uncertainty of estimation of mutual information by SLEMI approach. Two main procedures are implemented: bootstrap, which execute estimation with using a fraction of data and overfitting test, which divides data into two parts: training and testing. Each of them is repeated specified number of times to obtain a distribution of our estimators. It is recommended to call this function from mi_logreg_main.R.

Usage

mi_logreg_testing(
  data,
  signal = "signal",
  response = "response",
  side_variables = NULL,
  pinput = NULL,
  lr_maxit = 1000,
  MaxNWts = 5000,
  formula_string = NULL,
  TestingSeed = 1234,
  testing_cores = 1,
  boot_num = 10,
  boot_prob = 0.8,
  sidevar_num = 10,
  traintest_num = 10,
  partition_trainfrac = 0.6
)

Value

a list with elements:

  • output$bootstrap - bootstrap test

  • output$traintest - overfitting test

  • output$reshuffling_sideVar - (if side_variables is not NULL) re-shuffling test

  • output$bootstrap_Reshuffling_sideVar - (if side_variables is not NULL) re-shuffling test with a bootstrap

Each of the above is a list, where an element is a standard output of a single mi_logreg_algorithm run.

Arguments

data

must be a data.frame object. Cannot contain NA values.

signal

is a character object with names of columns of dataRaw to be treated as channel's input.

response

is a character vector with names of columns of dataRaw to be treated as channel's output

side_variables

(optional) is a character vector that indicates side variables' columns of data, if NULL no side variables are included

pinput

is a numeric vector with prior probabilities of the input values. Uniform distribution is assumed as default (pinput=NULL).

lr_maxit

is a maximum number of iteration of fitting algorithm of logistic regression. Default is 1000.

MaxNWts

is a maximum acceptable number of weights in logistic regression algorithm. Default is 5000.

formula_string

(optional) is a character object that includes a formula syntax to use in logistic regression model. If NULL, a standard additive model of response variables is assumed. Only for advanced users.

TestingSeed

is the seed for random number generator used in testing procedures

testing_cores

- number of cores to be used in parallel computing (via doParallel package)

boot_num

is the number of bootstrap tests to be performed. Default is 10, but it is recommended to use at least 50 for reliable estimates.

boot_prob

is the proportion of initial size of data to be used in bootstrap

sidevar_num

is the number of re-shuffling tests of side variables to be performed. Default is 10, but it is recommended to use at least 50 for reliable estimates.

traintest_num

is the number of overfitting tests to be performed. Default is 10, but it is recommended to use at least 50 for reliable estimates.

partition_trainfrac

is the fraction of data to be used as a training dataset

Details

If side variables are added within the analysis (side_variables is not NULL), two additional procedures are carried out: reshuffling test and reshuffling with bootstrap test, which are based on permutation of side variables values within the dataset. Additional parameters: lr_maxit and MaxNWts are the same as in definition of multinom function from nnet package. An alternative model formula (using formula_string arguments) should be provided if data are not suitable for description by logistic regression (recommended only for advanced users).

References

[1] Jetka T, Nienaltowski K, Winarski T, Blonski S, Komorowski M, Information-theoretic analysis of multivariate single-cell signaling responses using SLEMI, PLoS Comput Biol, 15(7): e1007132, 2019, https://doi.org/10.1371/journal.pcbi.1007132.

Examples

Run this code
## Compute  uncertainty of mutual information estimator using 1 core
## Set boot_num and traintest_num with larger numbers for more reliable testing
tempdata=data_example1
output=mi_logreg_testing(data=tempdata,
                   signal = "signal",
                   response = "response",
                   testing_cores = 1,boot_num=1,traintest_num=1)

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