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    "align_factor_signs_mfa",
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    "compute_factor_scores_mpca",
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    "compute_global_vaf_mfa",
    "compute_global_vaf_mpca",
    "compute_ICL",
    "compute_ICL_mfa",
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    "compute_reconstruction_error",
    "compute_smoothness_penalty",
    "compute_subspace_similarity",
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    "compute_VAF_mfa",
    "compute_VAF_mpca",
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    "count_completed_tasks",
    "emg_preset_config",
    "evaluate_model_selection",
    "extract_cluster_labels",
    "extract_envelope",
    "extract_selection_summary",
    "extract_subject_features_by_singlePCA",
    "facet_mixsynergy",
    "fit_single_factor_analysis",
    "fit_single_pca",
    "fit_two_step_baseline",
    "generate_pbs_script",
    "generate_synergy_data",
    "get_model_by_K_r",
    "get_model_by_K_r_mpca",
    "make_table1",
    "make_table2",
    "mfa_em_fit",
    "mfa_em_fit_cpp_singleInit",
    "mixture_pca_em_fit",
    "mixture_pca_em_fit_cpp_singleInit",
    "normalize_emg",
    "notch_filter",
    "plot_activation_patterns",
    "plot_aligned_basis_heatmaps",
    "plot_all_factor_scores_mfa",
    "plot_all_factor_scores_mpca",
    "plot_all_reconstructed_waveforms_mfa",
    "plot_all_reconstructed_waveforms_mpca",
    "plot_basis_umap",
    "plot_bic_comparison",
    "plot_bic_line",
    "plot_calibration",
    "plot_cluster_embedding",
    "plot_cluster_synergy_loadings_mfa",
    "plot_cluster_synergy_loadings_mpca",
    "plot_confusion_matrix",
    "plot_fig1_ARI",
    "plot_fig1_baseline_comparison",
    "plot_fig2_BIC_heatmap",
    "plot_fig3_init_boxplot",
    "plot_fig4to6_reconstruction_vaf",
    "plot_metric_vs_axis",
    "plot_neural_command",
    "plot_noise_profiles",
    "plot_reconstructed_emg",
    "plot_sse_heatmap",
    "plot_sweep_summary",
    "plot_synergy_bases",
    "plot_synergy_correlation_comparison",
    "plot_synergy_summary",
    "plot_waveform_comparison_mfa",
    "plot_waveform_comparison_mpca",
    "plot_winrate_heatmap",
    "posthoc_mfa_evaluation",
    "posthoc_mpca_evaluation",
    "preprocess_emg",
    "read_all_results",
    "read_and_visualize_all",
    "reconstruct_singleMPCA",
    "rectify",
    "remove_dc_offset",
    "rotate_mfa_model",
    "rotate_mpca_model",
    "run_k_selection_comparison",
    "run_param_sweep",
    "run_param_sweep_baselines",
    "run_param_sweep_modelsel",
    "run_single_task",
    "run_single_task_baselines",
    "run_sweep_future",
    "scale_color_mixsynergy",
    "scale_fill_mixsynergy",
    "scale_fill_mixsynergy_discrete",
    "scale_fill_mixsynergy_diverging",
    "select_K_bootstrap_stability",
    "select_K_crossvalidation",
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    "select_optimal_K_r_mfa_twostage",
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    "select_r_clusterwise_mpca",
    "select_r_global_mfa",
    "select_r_global_mpca",
    "select_r_mixture",
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    "select_r_multicriteria_mpca",
    "setup_future_backend",
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    "simulate_dynamic_synergy_data",
    "strip_attributes",
    "submit_hpc_sweep",
    "submit_pbs_sweep",
    "summarize_vaf_sse_mfa",
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    "theme_sweep",
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      "title": "Aggregate Partial Results from PBS Jobs",
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      "topics": [
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      "page": "align_factor_signs_mfa",
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      "topics": [
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      "title": "Compute SSE for a MixturePCA model",
      "topics": [
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    {
      "page": "calc_reconstruction_error_singleFA",
      "title": "Compute Total Reconstruction SSE for Single FA",
      "topics": [
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    },
    {
      "page": "calc_reconstruction_error_singlePCA",
      "title": "Compute Total Reconstruction SSE for Single PCA",
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    },
    {
      "page": "calc_total_SST",
      "title": "Compute the Total Sum of Squares (SST) for a List of Data Matrices",
      "topics": [
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    {
      "page": "calibrate_model",
      "title": "Compute Calibration from Model Fit",
      "topics": [
        "calibrate_model"
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    {
      "page": "check_future_available",
      "title": "Check if Future Packages are Available",
      "topics": [
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      "page": "check_pbs_job_status",
      "title": "Check PBS Job Status",
      "topics": [
        "check_pbs_job_status"
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    },
    {
      "page": "check_SSE_diagnostics",
      "title": "Check SSE Diagnostics for Mixture Models",
      "topics": [
        "check_SSE_diagnostics"
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    },
    {
      "page": "compare_baselines",
      "title": "Compare Analysis Methods on v2 Dynamic Synergy Data",
      "topics": [
        "compare_baselines"
      ]
    },
    {
      "page": "compare_static_vs_dynamic",
      "title": "Compare Analysis Methods on Dynamic Synergy Data (v2)",
      "topics": [
        "compare_static_vs_dynamic"
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    },
    {
      "page": "compute_ari",
      "title": "Compute Adjusted Rand Index (ARI)",
      "topics": [
        "compute_ari"
      ]
    },
    {
      "page": "compute_ari_vaf_table",
      "title": "Compile ARI and VAF into a Single Table",
      "topics": [
        "compute_ari_vaf_table"
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    {
      "page": "compute_BIC",
      "title": "Compute Bayesian Information Criterion (BIC)",
      "topics": [
        "compute_BIC"
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    },
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      "page": "compute_BIC_mfa",
      "title": "Compute BIC for an MFA model",
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      "page": "compute_BIC_mpca",
      "title": "Compute BIC for a Mixture PCA Model",
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      "title": "Compute BIC for a Fitted Model",
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      "title": "Compute Calibration Statistics for Mixture Model",
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      "page": "compute_cluster_sizes",
      "title": "Compute Cluster Sizes from a Fitted MFA (or Mixture PCA) Model",
      "topics": [
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      "page": "compute_cluster_sizes_mpca",
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      "page": "compute_clusterwise_subspace_score",
      "title": "Compute Cluster-wise Subspace Recovery Score",
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      "page": "compute_ece",
      "title": "Compute Expected Calibration Error",
      "topics": [
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    },
    {
      "page": "compute_entropy",
      "title": "Compute Classification Entropy from Responsibilities",
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      "title": "Compute Factor Scores for a Single MFA Cluster",
      "topics": [
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    },
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      "page": "compute_factor_scores_mfa",
      "title": "Compute Factor Scores for All Subjects in an MFA Model",
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      "page": "compute_factor_scores_mpca",
      "title": "Compute PC Factor Scores for All Subjects in a Mixture PCA Model",
      "topics": [
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      "page": "compute_factor_scores_mpca_single",
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      "topics": [
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    {
      "page": "compute_factor_scores_optimized",
      "title": "Compute Factor Scores for a Single Subject in MFA",
      "topics": [
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      "page": "compute_global_vaf_mfa",
      "title": "Compute Global VAF (1 - SSE/SST) for an MFA Model",
      "topics": [
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      "page": "compute_global_vaf_mpca",
      "title": "Compute Global VAF (1 - SSE/SST) for Mixture PCA",
      "topics": [
        "compute_global_vaf_mpca"
      ]
    },
    {
      "page": "compute_ICL",
      "title": "Compute ICL for a Mixture Model (Unified Interface)",
      "topics": [
        "compute_ICL"
      ]
    },
    {
      "page": "compute_ICL_mfa",
      "title": "Compute ICL for a Mixture Factor Analysis Model",
      "topics": [
        "compute_ICL_mfa"
      ]
    },
    {
      "page": "compute_ICL_mpca",
      "title": "Compute ICL for a Mixture PCA Model",
      "topics": [
        "compute_ICL_mpca"
      ]
    },
    {
      "page": "compute_logLik",
      "title": "Compute Log-Likelihood for Mixture Models",
      "topics": [
        "compute_logLik"
      ]
    },
    {
      "page": "compute_logLik_mfa",
      "title": "Compute the Mixture-Model Log-Likelihood for MFA",
      "topics": [
        "compute_logLik_mfa"
      ]
    },
    {
      "page": "compute_logLik_mpca",
      "title": "Compute the Mixture-Model Log-Likelihood for Mixture PCA",
      "topics": [
        "compute_logLik_mpca"
      ]
    },
    {
      "page": "compute_mvc_reference",
      "title": "Compute MVC Reference Values",
      "topics": [
        "compute_mvc_reference"
      ]
    },
    {
      "page": "compute_reconstruction_error",
      "title": "Compute Reconstruction Error",
      "topics": [
        "compute_reconstruction_error"
      ]
    },
    {
      "page": "compute_smoothness_penalty",
      "title": "Compute Smoothness Penalty for Factor Scores",
      "topics": [
        "compute_smoothness_penalty"
      ]
    },
    {
      "page": "compute_subspace_similarity",
      "title": "Compute Subspace Similarity Between Two Basis Matrices",
      "topics": [
        "compute_subspace_similarity"
      ]
    },
    {
      "page": "compute_VAF",
      "title": "Compute Global Variance Accounted For (VAF)",
      "topics": [
        "compute_VAF"
      ]
    },
    {
      "page": "compute_VAF_mfa",
      "title": "Compute VAF for a Fitted MFA Model",
      "topics": [
        "compute_VAF_mfa"
      ]
    },
    {
      "page": "compute_VAF_mpca",
      "title": "Compute VAF for a Mixture PCA (PPCA) Model",
      "topics": [
        "compute_VAF_mpca"
      ]
    },
    {
      "page": "compute_vaf_wrapper",
      "title": "Compute VAF (Variance Accounted For) for a Fitted Model",
      "topics": [
        "compute_vaf_wrapper"
      ]
    },
    {
      "page": "compute_vss_criterion",
      "title": "Compute VSS (Very Simple Structure) Criterion for Factor Loadings",
      "topics": [
        "compute_vss_criterion"
      ]
    },
    {
      "page": "count_completed_tasks",
      "title": "Count Completed PBS Tasks",
      "topics": [
        "count_completed_tasks"
      ]
    },
    {
      "page": "emg_preset_config",
      "title": "EMG Preprocessing Preset Configurations",
      "topics": [
        "emg_preset_config"
      ]
    },
    {
      "page": "evaluate_model_selection",
      "title": "Evaluate Model Selection Results",
      "topics": [
        "evaluate_model_selection"
      ]
    },
    {
      "page": "extract_cluster_labels",
      "title": "Extract Cluster Labels from a Fitted Model",
      "topics": [
        "extract_cluster_labels"
      ]
    },
    {
      "page": "extract_envelope",
      "title": "Extract Envelope from EMG Signal",
      "topics": [
        "extract_envelope"
      ]
    },
    {
      "page": "extract_selection_summary",
      "title": "Extract Selection Summary as Data Frame",
      "topics": [
        "extract_selection_summary"
      ]
    },
    {
      "page": "extract_subject_features_by_singlePCA",
      "title": "Extract subject-level features by single PCA",
      "topics": [
        "extract_subject_features_by_singlePCA"
      ]
    },
    {
      "page": "facet_mixsynergy",
      "title": "Apply Consistent Faceting for Cluster and Factor Visualizations",
      "topics": [
        "facet_mixsynergy"
      ]
    },
    {
      "page": "fit_single_factor_analysis",
      "title": "Fit a Single Factor Analysis (Ignoring Clusters)",
      "topics": [
        "fit_single_factor_analysis"
      ]
    },
    {
      "page": "fit_single_pca",
      "title": "Fit a Single PCA (Ignoring Clusters)",
      "topics": [
        "fit_single_pca"
      ]
    },
    {
      "page": "fit_two_step_baseline",
      "title": "Two-step Baseline Algorithm for PCA/FA",
      "topics": [
        "fit_two_step_baseline"
      ]
    },
    {
      "page": "generate_pbs_script",
      "title": "Generate PBS Job Script",
      "topics": [
        "generate_pbs_script"
      ]
    },
    {
      "page": "generate_synergy_data",
      "title": "Generate v2 Dynamic Synergy Data for Model Selection Experiments",
      "topics": [
        "generate_synergy_data"
      ]
    },
    {
      "page": "get_model_by_K_r",
      "title": "Retrieve a Specific Model by (K, r) from a Grid Search",
      "topics": [
        "get_model_by_K_r"
      ]
    },
    {
      "page": "get_model_by_K_r_mpca",
      "title": "Retrieve a Mixture PCA Model by (K, r)",
      "topics": [
        "get_model_by_K_r_mpca"
      ]
    },
    {
      "page": "make_table1",
      "title": "Create a Static Table of Simulation Conditions (Table 1)",
      "topics": [
        "make_table1"
      ]
    },
    {
      "page": "make_table2",
      "title": "Summarize Results for a Subset (Table 2)",
      "topics": [
        "make_table2"
      ]
    },
    {
      "page": "mfa_em_fit",
      "title": "Fit a Mixture Factor Analysis Model (with optional multi-initialization)",
      "topics": [
        "mfa_em_fit"
      ]
    },
    {
      "page": "mfa_em_fit_cpp_singleInit",
      "title": "Single-Run Mixture Factor Analysis with a Preset Initial Assignment",
      "topics": [
        "mfa_em_fit_cpp_singleInit"
      ]
    },
    {
      "page": "mixture_pca_em_fit",
      "title": "Fit a Mixture PCA Model (Using mpcaTimeseriesCpp) with optional multi-initialization",
      "topics": [
        "mixture_pca_em_fit"
      ]
    },
    {
      "page": "mixture_pca_em_fit_cpp_singleInit",
      "title": "Single-Run Mixture PCA with a Preset Initial Assignment",
      "topics": [
        "mixture_pca_em_fit_cpp_singleInit"
      ]
    },
    {
      "page": "normalize_emg",
      "title": "Normalize EMG Signal",
      "topics": [
        "normalize_emg"
      ]
    },
    {
      "page": "notch_filter",
      "title": "Notch Filter for Power Line Noise Removal",
      "topics": [
        "notch_filter"
      ]
    },
    {
      "page": "plot_activation_patterns",
      "title": "Plot Activation Patterns",
      "topics": [
        "plot_activation_patterns"
      ]
    },
    {
      "page": "plot_aligned_basis_heatmaps",
      "title": "Plot Aligned Basis Heatmaps",
      "topics": [
        "plot_aligned_basis_heatmaps"
      ]
    },
    {
      "page": "plot_all_factor_scores_mfa",
      "title": "Plot All Factor Scores (Z) for MFA, Faceted by Cluster and Factor",
      "topics": [
        "plot_all_factor_scores_mfa"
      ]
    },
    {
      "page": "plot_all_factor_scores_mpca",
      "title": "Plot All Factor Scores (Z) for MPCA, Faceted by Cluster and Factor",
      "topics": [
        "plot_all_factor_scores_mpca"
      ]
    },
    {
      "page": "plot_all_reconstructed_waveforms_mfa",
      "title": "Plot Reconstructed Waveforms for All Clusters and Channels (MFA)",
      "topics": [
        "plot_all_reconstructed_waveforms_mfa"
      ]
    },
    {
      "page": "plot_all_reconstructed_waveforms_mpca",
      "title": "Plot Reconstructed Waveforms for All Clusters and Channels (MPCA)",
      "topics": [
        "plot_all_reconstructed_waveforms_mpca"
      ]
    },
    {
      "page": "plot_basis_umap",
      "title": "Plot Basis UMAP Embedding",
      "topics": [
        "plot_basis_umap"
      ]
    },
    {
      "page": "plot_bic_comparison",
      "title": "Plot BIC Comparison for Parameter Sweep",
      "topics": [
        "plot_bic_comparison"
      ]
    },
    {
      "page": "plot_bic_line",
      "title": "Line Plot of BIC vs. K or r",
      "topics": [
        "plot_bic_line"
      ]
    },
    {
      "page": "plot_calibration",
      "title": "Plot Calibration Curve",
      "topics": [
        "plot_calibration"
      ]
    },
    {
      "page": "plot_cluster_embedding",
      "title": "Plot Cluster Embedding",
      "topics": [
        "plot_cluster_embedding"
      ]
    },
    {
      "page": "plot_cluster_synergy_loadings_mfa",
      "title": "Plot Cluster-Specific Synergy Coefficients (Factor Loadings) for MFA",
      "topics": [
        "plot_cluster_synergy_loadings_mfa"
      ]
    },
    {
      "page": "plot_cluster_synergy_loadings_mpca",
      "title": "Plot Cluster-Specific Synergy Coefficients (Factor Loadings) for MPCA",
      "topics": [
        "plot_cluster_synergy_loadings_mpca"
      ]
    },
    {
      "page": "plot_confusion_matrix",
      "title": "Plot Confusion Matrix for Cluster Assignments",
      "topics": [
        "plot_confusion_matrix"
      ]
    },
    {
      "page": "plot_fig1_ARI",
      "title": "Plot ARI vs. Separation/Noise (Figure 1)",
      "topics": [
        "plot_fig1_ARI"
      ]
    },
    {
      "page": "plot_fig1_baseline_comparison",
      "title": "Plot Baseline Comparison (ARI and VAF)",
      "topics": [
        "plot_fig1_baseline_comparison"
      ]
    },
    {
      "page": "plot_fig2_BIC_heatmap",
      "title": "Plot BIC Heatmap for a Subset (Figure 2)",
      "topics": [
        "plot_fig2_BIC_heatmap"
      ]
    },
    {
      "page": "plot_fig3_init_boxplot",
      "title": "Plot Boxplot of ARI for Multiple Initial Seeds (Figure 3)",
      "topics": [
        "plot_fig3_init_boxplot"
      ]
    },
    {
      "page": "plot_fig4to6_reconstruction_vaf",
      "title": "Plot Reconstruction Error and VAF (Figures 4-6)",
      "topics": [
        "plot_fig4to6_reconstruction_vaf"
      ]
    },
    {
      "page": "plot_metric_vs_axis",
      "title": "Plot Metric vs Axis for Parameter Sweep",
      "topics": [
        "plot_metric_vs_axis"
      ]
    },
    {
      "page": "plot_neural_command",
      "title": "Plot Neural Command Trajectories",
      "topics": [
        "plot_neural_command"
      ]
    },
    {
      "page": "plot_noise_profiles",
      "title": "Plot Noise Profiles",
      "topics": [
        "plot_noise_profiles"
      ]
    },
    {
      "page": "plot_reconstructed_emg",
      "title": "Plot Reconstructed EMG Signals",
      "topics": [
        "plot_reconstructed_emg"
      ]
    },
    {
      "page": "plot_sse_heatmap",
      "title": "Plot SSE Heatmap Across Methods and Subjects",
      "topics": [
        "plot_sse_heatmap"
      ]
    },
    {
      "page": "plot_sweep_summary",
      "title": "Plot Summary Comparison for Parameter Sweep",
      "topics": [
        "plot_sweep_summary"
      ]
    },
    {
      "page": "plot_synergy_bases",
      "title": "Plot Synergy Bases (Lambda Matrices)",
      "topics": [
        "plot_synergy_bases"
      ]
    },
    {
      "page": "plot_synergy_correlation_comparison",
      "title": "Plot Synergy Correlation Comparison",
      "topics": [
        "plot_synergy_correlation_comparison"
      ]
    },
    {
      "page": "plot_synergy_summary",
      "title": "Plot Synergy Summary",
      "topics": [
        "plot_synergy_summary"
      ]
    },
    {
      "page": "plot_waveform_comparison_mfa",
      "title": "Plot Original vs. Reconstructed Waveform for an MFA Model",
      "topics": [
        "plot_waveform_comparison_mfa"
      ]
    },
    {
      "page": "plot_waveform_comparison_mpca",
      "title": "Plot Original vs. Reconstructed Waveform for an MPCA Model",
      "topics": [
        "plot_waveform_comparison_mpca"
      ]
    },
    {
      "page": "plot_winrate_heatmap",
      "title": "Plot Win Rate Heatmap for Parameter Sweep",
      "topics": [
        "plot_winrate_heatmap"
      ]
    },
    {
      "page": "plot.mixture_r_selection",
      "title": "Plot Method for mixture_r_selection Objects",
      "topics": [
        "plot.mixture_r_selection"
      ]
    },
    {
      "page": "posthoc_mfa_evaluation",
      "title": "Post-hoc Evaluation of MFA Grid Search",
      "topics": [
        "posthoc_mfa_evaluation"
      ]
    },
    {
      "page": "posthoc_mpca_evaluation",
      "title": "Post-hoc Evaluation of Mixture PCA Grid Search",
      "topics": [
        "posthoc_mpca_evaluation"
      ]
    },
    {
      "page": "preprocess_emg",
      "title": "EMG Preprocessing Pipeline",
      "topics": [
        "preprocess_emg"
      ]
    },
    {
      "page": "print.bootstrap_ci",
      "title": "Print Summary of Bootstrap CI Results",
      "topics": [
        "print.bootstrap_ci"
      ]
    },
    {
      "page": "print.calibration_result",
      "title": "Print Summary of Calibration Results",
      "topics": [
        "print.calibration_result"
      ]
    },
    {
      "page": "print.mixture_r_selection",
      "title": "Print Method for mixture_r_selection Objects",
      "topics": [
        "print.mixture_r_selection"
      ]
    },
    {
      "page": "print.preprocessed_emg",
      "title": "Print Method for preprocessed_emg Objects",
      "topics": [
        "print.preprocessed_emg"
      ]
    },
    {
      "page": "read_all_results",
      "title": "Read All Results from .rds Files",
      "topics": [
        "read_all_results"
      ]
    },
    {
      "page": "read_and_visualize_all",
      "title": "Read All Results and Produce Tables/Figures",
      "topics": [
        "read_and_visualize_all"
      ]
    },
    {
      "page": "reconstruct_singleMPCA",
      "title": "Reconstruct a single subject's data from a Mixture PCA model",
      "topics": [
        "reconstruct_singleMPCA"
      ]
    },
    {
      "page": "rectify",
      "title": "Rectify EMG Signal",
      "topics": [
        "rectify"
      ]
    },
    {
      "page": "remove_dc_offset",
      "title": "Remove DC Offset from EMG Signal",
      "topics": [
        "remove_dc_offset"
      ]
    },
    {
      "page": "rotate_mfa_model",
      "title": "Post-hoc Rotation for an MFA Model",
      "topics": [
        "rotate_mfa_model"
      ]
    },
    {
      "page": "rotate_mpca_model",
      "title": "Post-hoc Rotation for a Mixture PCA Model",
      "topics": [
        "rotate_mpca_model"
      ]
    },
    {
      "page": "run_k_selection_comparison",
      "title": "Run K Selection Method Comparison (v3)",
      "topics": [
        "run_k_selection_comparison"
      ]
    },
    {
      "page": "run_param_sweep",
      "title": "Run Parameter Sweep Experiment",
      "topics": [
        "run_param_sweep"
      ]
    },
    {
      "page": "run_param_sweep_baselines",
      "title": "Run Parameter Sweep for Baseline Method Comparisons (v2)",
      "topics": [
        "run_param_sweep_baselines"
      ]
    },
    {
      "page": "run_param_sweep_modelsel",
      "title": "Run Parameter Sweep with Model Selection",
      "topics": [
        "run_param_sweep_modelsel"
      ]
    },
    {
      "page": "run_single_task",
      "title": "Run a Single Task from Parameter Grid",
      "topics": [
        "run_single_task"
      ]
    },
    {
      "page": "run_sweep_future",
      "title": "Run Parameter Sweep Using Future",
      "topics": [
        "run_sweep_future"
      ]
    },
    {
      "page": "scale_color_mixsynergy",
      "title": "Get Unified Color Scale for Discrete Categories",
      "topics": [
        "scale_color_mixsynergy"
      ]
    },
    {
      "page": "scale_fill_mixsynergy",
      "title": "Get Unified Viridis Color Scale for Continuous Values",
      "topics": [
        "scale_fill_mixsynergy"
      ]
    },
    {
      "page": "scale_fill_mixsynergy_discrete",
      "title": "Get Unified Fill Scale for Discrete Categories",
      "topics": [
        "scale_fill_mixsynergy_discrete"
      ]
    },
    {
      "page": "scale_fill_mixsynergy_diverging",
      "title": "Get Unified Viridis Color Scale for Diverging Values",
      "topics": [
        "scale_fill_mixsynergy_diverging"
      ]
    },
    {
      "page": "select_K_bootstrap_stability",
      "title": "Select K Using Bootstrap Stability Selection",
      "topics": [
        "select_K_bootstrap_stability"
      ]
    },
    {
      "page": "select_K_crossvalidation",
      "title": "Select K Using Cross-Validation",
      "topics": [
        "select_K_crossvalidation"
      ]
    },
    {
      "page": "select_K_r",
      "title": "Unified Model Selection for K and r",
      "topics": [
        "select_K_r"
      ]
    },
    {
      "page": "select_optimal_K_r_mfa",
      "title": "Search for the Best (K, r) for MFA via Grid Search (Using mfa_em_fit)",
      "topics": [
        "select_optimal_K_r_mfa"
      ]
    },
    {
      "page": "select_optimal_K_r_mfa_twostage",
      "title": "Two-Stage Model Selection for MFA: Select K First, Then r",
      "topics": [
        "select_optimal_K_r_mfa_twostage"
      ]
    },
    {
      "page": "select_optimal_K_r_mpca",
      "title": "Search for the Best (K, r) for Mixture PCA via Grid Search",
      "topics": [
        "select_optimal_K_r_mpca"
      ]
    },
    {
      "page": "select_optimal_K_r_mpca_twostage",
      "title": "Two-Stage Model Selection for MPCA: Select K First, Then r",
      "topics": [
        "select_optimal_K_r_mpca_twostage"
      ]
    },
    {
      "page": "select_r_by_smoothness_mfa",
      "title": "Select Optimal r by Smoothness Penalty for MFA",
      "topics": [
        "select_r_by_smoothness_mfa"
      ]
    },
    {
      "page": "select_r_by_smoothness_mpca",
      "title": "Select Optimal r by Smoothness Penalty for MPCA",
      "topics": [
        "select_r_by_smoothness_mpca"
      ]
    },
    {
      "page": "select_r_by_vaf_mfa",
      "title": "Select Minimum r Based on VAF Threshold for MFA",
      "topics": [
        "select_r_by_vaf_mfa"
      ]
    },
    {
      "page": "select_r_by_vaf_mpca",
      "title": "Select Minimum r Based on VAF Threshold for MPCA",
      "topics": [
        "select_r_by_vaf_mpca"
      ]
    },
    {
      "page": "select_r_by_vss_mfa",
      "title": "Select Optimal r by VSS Criterion for MFA",
      "topics": [
        "select_r_by_vss_mfa"
      ]
    },
    {
      "page": "select_r_by_vss_mpca",
      "title": "Select Optimal r by VSS Criterion for MPCA",
      "topics": [
        "select_r_by_vss_mpca"
      ]
    },
    {
      "page": "select_r_clusterwise_mfa",
      "title": "Select Optimal r Using Cluster-wise Evaluation for MFA",
      "topics": [
        "select_r_clusterwise_mfa"
      ]
    },
    {
      "page": "select_r_clusterwise_mpca",
      "title": "Select Optimal r Using Cluster-wise Evaluation for MPCA",
      "topics": [
        "select_r_clusterwise_mpca"
      ]
    },
    {
      "page": "select_r_global_mfa",
      "title": "Select Optimal r Using Global Model (FA or PPCA) with Cross-Validation",
      "topics": [
        "select_r_global_mfa"
      ]
    },
    {
      "page": "select_r_global_mpca",
      "title": "Select Optimal r Using Global Model (PPCA) with Cross-Validation for MPCA",
      "topics": [
        "select_r_global_mpca"
      ]
    },
    {
      "page": "select_r_mixture",
      "title": "Unified r Selection for Mixture Models (MFA/MPCA)",
      "topics": [
        "select_r_mixture"
      ]
    },
    {
      "page": "select_r_multicriteria_mfa",
      "title": "Select Optimal r Using Multi-Criteria Approach for MFA",
      "topics": [
        "select_r_multicriteria_mfa"
      ]
    },
    {
      "page": "select_r_multicriteria_mpca",
      "title": "Select Optimal r Using Multi-Criteria Approach for MPCA",
      "topics": [
        "select_r_multicriteria_mpca"
      ]
    },
    {
      "page": "setup_future_backend",
      "title": "Setup Future Backend for HPC",
      "topics": [
        "setup_future_backend"
      ]
    },
    {
      "page": "show_parallel_options",
      "title": "Print Summary of Available Parallelization Options",
      "topics": [
        "show_parallel_options"
      ]
    },
    {
      "page": "simulate_dynamic_synergy_data",
      "title": "Simulate Dynamic Synergy Data with Three Orthogonal Control Axes",
      "topics": [
        "simulate_dynamic_synergy_data"
      ]
    },
    {
      "page": "simulation_comparison",
      "title": "Simulation Comparison Functions",
      "topics": [
        "simulation_comparison"
      ]
    },
    {
      "page": "simulation_visualization",
      "title": "Simulation Visualization Functions",
      "topics": [
        "simulation_visualization"
      ]
    },
    {
      "page": "strip_attributes",
      "title": "Strip All Attributes Except Essential Ones",
      "topics": [
        "strip_attributes"
      ]
    },
    {
      "page": "submit_hpc_sweep",
      "title": "Submit Parameter Sweep to HPC (Simple Interface)",
      "topics": [
        "submit_hpc_sweep"
      ]
    },
    {
      "page": "submit_pbs_sweep",
      "title": "Submit PBS Parameter Sweep",
      "topics": [
        "submit_pbs_sweep"
      ]
    },
    {
      "page": "summarize_vaf_sse_mfa",
      "title": "Summarize VAF and SSE for an MFA Model",
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