Build input for Amortized Bayesian Inference (ABI)

Prepares simulation output for Amortized Bayesian Inference (ABI) analysis using the NeuralEstimators package. Extracts parameters and summary statistics from simulation results, splits data into training and validation sets, and formats them into matrices suitable for neural network training.

Usage

build_abi_input(
  simulation_output,
  theta,
  Z,
  train_ratio = 0.8,
  rank_levels = NULL
)

Arguments

simulation_output: A eam_simulation_output object from run_simulation or load_simulation_output.
theta: Character vector of parameter names to extract from simulation_output. These parameters will be used as the target variables for inference.
Z: Character vector of summary statistic column names to extract from the simulation output dataset (e.g., "rt", "item_idx", "choice").
train_ratio: Numeric value between 0 and 1 specifying the proportion of conditions to use for training (default: 0.8).
rank_levels: Numeric vector specifying which rank indices to include. If NULL (default), uses all ranks from 1 to n_items from simulation config.

Value

A list with components suitable for abi package training:

theta_train: Matrix of training parameters (parameters × conditions)
theta_val: Matrix of validation parameters (parameters × conditions)
Z_train: List of matrices, one per training condition (ranks*Z × trials)
Z_val: List of matrices, one per validation condition (ranks*Z × trials)
train_idx: Vector of condition indices used for training
val_idx: Vector of condition indices used for validation
train_ratio: The training ratio used
rank_levels: The rank levels included in Z matrices

Details

This function provides a streamlined workflow for preparing ABI inputs. It requires that simulation_output be created by run_simulation or load_simulation_output. The function automatically handles missing trials and ranks by filling with zeros to ensure complete data matrices.

The output format is optimized for the abi package's training functions, with parameters formatted as matrices (each column is a condition) and summary statistics formatted as lists of matrices (one per condition, with trials as columns).

Examples

# Load the example dataset
rdm_minimal_example <- system.file("extdata", "rdm_minimal", package = "eam")
sim_output <- load_simulation_output(file.path(rdm_minimal_example, "simulation"))

# build the ABI input
abi_input <- build_abi_input(
  sim_output,
  c(
    "V_beta_1",
    "V_beta_group"
  ),
  c(
    "item_idx",
    "rt",
    "choice"
  )
)

# view the structure of the ABI input
str(abi_input)
#> List of 8
#>  $ theta_train: num [1:2, 1:400] 0.579 0.265 0.602 0.141 0.239 ...
#>   ..- attr(*, "dimnames")=List of 2
#>   .. ..$ : chr [1:2] "V_beta_1" "V_beta_group"
#>   .. ..$ : NULL
#>  $ theta_val  : num [1:2, 1:100] 0.121 0.248 0.214 0.136 0.95 ...
#>   ..- attr(*, "dimnames")=List of 2
#>   .. ..$ : chr [1:2] "V_beta_1" "V_beta_group"
#>   .. ..$ : NULL
#>  $ Z_train    :List of 400
#>   ..$ : num [1:9, 1:100] 3 1 2 0.339 0.549 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 2 3 0.21 0.223 0.731 1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.334 0.484 0.657 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.104 0.105 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.827 0.928 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.63 1.35 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.22 0.433 0.606 1 -1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.194 0.592 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.337 0.576 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.525 0.968 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.505 0.645 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.434 0.456 0.543 1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.149 1.63 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.43 0.61 0.765 -1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.119 0.383 0.909 1 1 -1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.245 0.536 0.576 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.249 0.316 0.609 1 -1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.27 0.325 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.256 0.481 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.3 0.97 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.41 0.841 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.286 0.428 0.93 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.275 0.279 0.413 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.644 1.241 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.138 0.237 0.443 1 1 -1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.338 0.378 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.314 0.44 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 2 3 0.383 0.553 0.592 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.535 0.556 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.297 1.24 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 2 3 0.227 0.371 0.384 1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.125 0.691 0.796 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.288 0.344 0.469 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
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#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.49 0.631 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.437 0.449 0.546 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.323 0.423 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.315 0.66 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.193 0.213 0.427 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.448 0.479 0.55 1 1 -1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.105 0.421 0.761 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.385 0.485 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
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#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.189 0.309 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.201 0.294 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.145 0.239 0.352 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 1.36 1.52 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.382 0.599 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.331 1.021 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.174 0.856 0.889 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.186 0.457 0.5 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.139 0.794 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.215 0.299 0.763 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.359 0.561 0.771 1 -1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.468 0.582 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.362 0.728 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.383 0.544 0.553 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
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#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
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#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.2 0.407 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.196 1.262 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.605 1.111 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.715 1.42 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
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#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.388 0.559 0.629 1 1 1 1 ...
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#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
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#>   .. .. ..$ : NULL
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#>   .. .. ..$ : NULL
#>   .. [list output truncated]
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#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.35 0.558 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.802 0.88 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.148 0.243 0.639 1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 2 3 0.43 0.529 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 1.36 1.47 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.1 0.449 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.566 1.128 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 2 3 0.142 1.745 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.494 0.677 0.815 -1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 1.08 1.1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.423 0.918 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.396 0.42 0.629 1 -1 -1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.362 0.409 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.295 0.381 0.767 1 -1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.828 0.92 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.13 0.136 0.568 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.363 0.618 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.111 0.905 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.21 0.278 0.933 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.334 0.897 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.166 0.335 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.486 0.601 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.437 0.64 0.714 -1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.169 0.624 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.143 0.248 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.455 1.673 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 2 3 0.662 1.313 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.317 1.263 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.183 0.628 0.703 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.532 1.069 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.229 0.519 0.769 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.252 0.282 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.437 0.638 0.65 1 1 1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.262 0.4 0.575 1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.323 0.53 0.708 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.213 0.227 0.39 1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.386 0.433 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.433 0.637 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.59 0.642 0.697 1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.688 0.816 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.538 1.402 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.143 0.995 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 2 3 0.245 0.428 0.836 1 -1 -1 2 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.294 0.353 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.11 0.266 0.571 1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 2 3 0.277 0.426 0.645 -1 -1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.182 0.419 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 1 2 0.271 0.391 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.284 0.748 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.346 0.88 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 3 2 1 0.186 0.425 0.605 1 1 1 1 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.633 0.875 0.945 1 1 -1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.947 0.966 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.952 1.436 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 1 3 0.46 1.07 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.291 0.382 0.411 1 1 1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.293 0.381 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.354 0.603 0.608 -1 1 -1 3 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 3 2 0.305 0.397 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 2 3 1 0.177 0.198 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   ..$ : num [1:9, 1:100] 1 2 3 0.429 0.714 ...
#>   .. ..- attr(*, "dimnames")=List of 2
#>   .. .. ..$ : chr [1:9] "rank_1_item_idx" "rank_2_item_idx" "rank_3_item_idx" "rank_1_rt" ...
#>   .. .. ..$ : NULL
#>   .. [list output truncated]
#>  $ train_idx  : int [1:400] 443 166 365 237 25 309 163 45 210 407 ...
#>  $ val_idx    : int [1:100] 2 9 22 33 35 47 53 62 64 66 ...
#>  $ train_ratio: num 0.8
#>  $ rank_levels: int [1:3] 1 2 3

if (FALSE) { # \dontrun{
# Example of using the ABI input for training
# (requires NeuralEstimators package and build your estimator first, see our tutorials)
train(
  estimator,
  theta_train = abi_input$theta_train,
  theta_val = abi_input$theta_val,
  Z_train = abi_input$Z_train,
  Z_val = abi_input$Z_val,
  epochs = 500,
  stopping_epochs = 200
)
} # }