fit.t3clus: T3Clus Model

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

T3Clus Model

Description

Implements simultaneous version of TWCFTA

Usage

fit.t3clus(model, X_i_jk, full_tensor_shape, reduced_tensor_shape)

## S4 method for signature 'simultaneous'
fit.t3clus(model, X_i_jk, full_tensor_shape, reduced_tensor_shape)

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.

Details

The procedure performs simultaneously the sequential TWCFTA model. The model finds B_j_q and C_k_r such that the between-clusters deviance of the component scores is maximized.

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 \insertRefVichiRocciKierssimuclustfactor

Examples

X_i_jk = generate_dataset()$X_i_jk
model = simultaneous()
t3clus = fit.t3clus(model, X_i_jk, c(8,5,4), c(3,3,2))

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