fit.ct3clus: CT3Clus Model

In simuclustfactor: Simultaneous Clustering and Factorial Decomposition of Three-Way Datasets

CT3Clus Model

Description

Implements simultaneous T3Clus and 3FKMeans integrating an alpha value between 0 and 1 inclusive for a weighted result.

Usage

fit.ct3clus(
  model,
  X_i_jk,
  full_tensor_shape,
  reduced_tensor_shape,
  alpha = 0.5
)

## S4 method for signature 'simultaneous'
fit.ct3clus(
  model,
  X_i_jk,
  full_tensor_shape,
  reduced_tensor_shape,
  alpha = 0.5
)

Arguments

model	Initialized simultaneous model.
X_i_jk	Matricized tensor along mode-1 (I objects).
full_tensor_shape	Dimensions of the tensor in full space.
reduced_tensor_shape	Dimensions of tensor in the reduced space.
alpha	0<alpha>1 hyper parameter. Model is T3Clus when alpha=1 and 3FKMeans when alpha=0.

Value

Output attributes accessible via the '@' operator.

• U_i_g0 - Initial object membership function matrix

• B_j_q0 - Initial factor/component matrix for the variables

• C_k_r0 - Initial factor/component matrix for the occasions

• U_i_g - Final/updated object membership function matrix

• B_j_q - Final/updated factor/component matrix for the variables

• C_k_r - Final/updated factor/component matrix for the occasions

• Y_g_qr - Derived centroids in the reduced space (data matrix)

• X_i_jk_scaled - Standardized dataset matrix

• BestTimeElapsed - Execution time for the best iterate

• BestLoop - Loop that obtained the best iterate

• BestIteration - Iteration yielding the best results

• Converged - Flag to check if algorithm converged for the K-means

• nConverges - Number of loops that converged for the K-means

• TSS_full - Total deviance in the full-space

• BSS_full - Between deviance in the reduced-space

• RSS_full - Residual deviance in the reduced-space

• PF_full - PseudoF in the full-space

• TSS_reduced - Total deviance in the reduced-space

• BSS_reduced - Between deviance in the reduced-space

• RSS_reduced - Residual deviance in the reduced-space

• PF_reduced - PseudoF in the reduced-space

• PF - Weighted PseudoF score

• Labels - Object cluster assignments

• Fs - Objective function values for the KM best iterate

• Enorm - Average l2 norm of the residual norm.

References

\insertRef

tucker1966simuclustfactor \insertReft3clussimuclustfactor \insertRef3FKMeanssimuclustfactor \insertRefVichiRocciKierssimuclustfactor

See Also

fit.t3clus fit.3fkmeans simultaneous

Examples

X_i_jk = generate_dataset()$X_i_jk
model = simultaneous()
ct3clus = fit.ct3clus(model, X_i_jk, c(8,5,4), c(3,3,2), alpha=0.5)

simuclustfactor documentation built on Oct. 18, 2022, 9:07 a.m.