PCS_run_from_interconnections {PCSinR}

Simulate the run of a PCS model based on only the interconnection matrix

Description

PCS_run_from_interconnections simulates a PCS network given only the pre-specified interconnection matrix and convergence criteria, substituting default values from the literature for all other parameters. Thereby, it provides a convenient shorthand for the PCS_run function that covers the vast majority of applications.

Usage

PCS_run_from_interconnections(interconnection_matrix,
  convergence_criteria = c(PCS_convergence_McCandR),
  convergence_names = "default")

Arguments

interconnection_matrix

A square, matrix representing the link weights between nodes, such that each entry w_ij represents the link strength between nodes i and j. Accordingly, for a network of n nodes, the matrix must be of six n*n. In most applications, the matrix will be symmetric, meaning that links are bidirectional.

convergence_criteria

Array of convergence criteria to apply. This PCS implementation allows users to define and observe multiple convergence criteria in one model. Each entry in this array is a convergence criterion, which is representated as a function that receives the current iteration, energy, model state history and the stability_criterion defined above and returns a boolean value representing whether the particular criterion is met given the model's current state.

convergence_names

Human-readable labels for the convergence criteria, or 'default', in which case the criteria are numbered automatically, in which case the criteria are numbered automatically.

Examples

# Build interconnection matrix
interconnections <- matrix(
  c( 0.0000,  0.1015,  0.0470,  0.0126,  0.0034,  0.0000,  0.0000,
    0.1015,  0.0000,  0.0000,  0.0000,  0.0000,  0.0100, -0.0100,
    0.0470,  0.0000,  0.0000,  0.0000,  0.0000,  0.0100, -0.0100,
    0.0126,  0.0000,  0.0000,  0.0000,  0.0000,  0.0100, -0.0100,
    0.0034,  0.0000,  0.0000,  0.0000,  0.0000, -0.0100,  0.0100,
    0.0000,  0.0100,  0.0100,  0.0100, -0.0100,  0.0000, -0.2000,
    0.0000, -0.0100, -0.0100, -0.0100,  0.0100, -0.2000,  0.0000 ),
  nrow=7
  )

# Run model
result <- PCS_run_from_interconnections(interconnections)

# Examine iterations required for convergence
result$convergence

# Examine final model state
result$iterations[nrow(result$iterations),]