Index

A

activation_custom() (in module aphin.identification.projection_aphin) activation_custom_inv() (in module aphin.identification.projection_aphin) animate_parameter_sweep() (in module aphin.utils.visualizations) aphin module APHIN (class in aphin.identification.aphin) aphin.identification module aphin.identification.aphin module aphin.identification.conv_aphin module aphin.identification.ph_basemodel module aphin.identification.phin module aphin.identification.projection_aphin module aphin.layers module aphin.layers.descriptor_ph_layer module aphin.layers.lti_layer module aphin.layers.ph_layer module aphin.layers.phq_layer module aphin.layers.system_layer module aphin.operators module aphin.operators.linear_operator_skew_sym module aphin.operators.linear_operator_sym module

aphin.operators.linear_operator_sym_pos_def module aphin.operators.operator_utils module aphin.systems module aphin.systems.lti_systems module aphin.systems.ph_systems module aphin.utils module aphin.utils.callbacks_tensorflow module aphin.utils.configuration module aphin.utils.data module aphin.utils.data.data module aphin.utils.data.dataset module aphin.utils.experiments module aphin.utils.integrators module aphin.utils.print_matrices module aphin.utils.save_results module aphin.utils.transformations module aphin.utils.visualizations module

B

B (aphin.layers.lti_layer.LTILayer property) build() (aphin.identification.projection_aphin.DecoderLatentTransformation method) (aphin.identification.projection_aphin.DecoderLinearProjection method) (aphin.identification.projection_aphin.DecoderNonlinearProjection method) (aphin.identification.projection_aphin.DecoderNonlinearTransformation method) (aphin.identification.projection_aphin.EncoderNonlinearTransformation method) (aphin.identification.projection_aphin.EncoderProjection method) build_autoencoder() (aphin.identification.aphin.APHIN method) (aphin.identification.conv_aphin.ConvAPHIN method)

build_decoder() (aphin.identification.projection_aphin.ProjectionAPHIN method) build_encoder() (aphin.identification.projection_aphin.ProjectionAPHIN method) build_loss() (aphin.identification.ph_basemodel.PHBasemodel method) build_model() (aphin.identification.aphin.APHIN method) (aphin.identification.phin.PHIN method) build_nonlinear_autoencoder() (aphin.identification.aphin.APHIN method) (aphin.identification.conv_aphin.ConvAPHIN method) (aphin.identification.projection_aphin.ProjectionAPHIN method) build_pca_decoder() (aphin.identification.aphin.APHIN method) build_pca_encoder() (aphin.identification.aphin.APHIN method)

C

calc_latent_time_derivatives() (aphin.identification.aphin.APHIN method) calc_pca_time_derivatives() (aphin.identification.aphin.APHIN method) calc_physical_time_derivatives() (aphin.identification.aphin.APHIN method) calculate_errors() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) calculate_latent_errors() (aphin.utils.data.data.Data method) calculate_rms_error() (aphin.utils.data.data.Data static method) calculate_state_errors() (aphin.utils.data.data.Data method) call() (aphin.identification.projection_aphin.DecoderLatentTransformation method) (aphin.identification.projection_aphin.DecoderLinearProjection method) (aphin.identification.projection_aphin.DecoderNonlinearProjection method) (aphin.identification.projection_aphin.DecoderNonlinearTransformation method) (aphin.identification.projection_aphin.EncoderNonlinearTransformation method) (aphin.identification.projection_aphin.EncoderProjection method) (aphin.layers.lti_layer.LTILayer method) (aphin.layers.phq_layer.PHQLayer method) (aphin.layers.system_layer.SystemLayer method)

callbacks() (in module aphin.utils.callbacks_tensorflow) check_config_dict() (aphin.utils.configuration.Configuration method) check_pH_properties() (aphin.systems.ph_systems.CheckPHProperties method) check_spd() (aphin.systems.ph_systems.CheckPHProperties method) CheckPHProperties (class in aphin.systems.ph_systems) checkPR() (in module aphin.utils.transformations) chessboard_visualisation() (in module aphin.utils.visualizations) Configuration (class in aphin.utils.configuration) ConvAPHIN (class in aphin.identification.conv_aphin) cosec() (in module aphin.identification.projection_aphin) create_directories() (aphin.utils.configuration.Configuration method) create_modified_config_files() (in module aphin.utils.experiments)

D

Data (aphin.utils.data.data.Data property) data (aphin.utils.data.data.Data property) Data (aphin.utils.data.dataset.Dataset property) data (aphin.utils.data.dataset.Dataset property) Data (class in aphin.utils.data.data) Data_test (aphin.utils.data.dataset.Dataset property) Dataset (class in aphin.utils.data.dataset) decode() (aphin.identification.aphin.APHIN method) DecoderLatentTransformation (class in aphin.identification.projection_aphin) DecoderLinearProjection (class in aphin.identification.projection_aphin) DecoderNonlinearProjection (class in aphin.identification.projection_aphin) DecoderNonlinearTransformation (class in aphin.identification.projection_aphin)

decrease_num_simulations() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) decrease_num_time_steps() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) DescriptorPHLayer (class in aphin.layers.descriptor_ph_layer) DescriptorPHQLayer (class in aphin.layers.descriptor_ph_layer) DescrLTISystem (class in aphin.systems.lti_systems) DescrPHSystem (class in aphin.systems.ph_systems) dict_product() (in module aphin.utils.experiments) directories (aphin.utils.configuration.Configuration property) DiscBrakeDataset (class in aphin.utils.data.dataset) dof_split (aphin.layers.lti_layer.LTILayer property) (aphin.layers.phq_layer.PHQLayer property)

E

E (aphin.layers.descriptor_ph_layer.DescriptorPHLayer property) (aphin.layers.descriptor_ph_layer.DescriptorPHQLayer property)

encode() (aphin.identification.aphin.APHIN method) EncoderNonlinearTransformation (class in aphin.identification.projection_aphin) EncoderProjection (class in aphin.identification.projection_aphin)

F

features_to_states() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) filter_data() (aphin.utils.data.data.Data method) find_all_yaml_files() (in module aphin.utils.experiments) fit() (aphin.identification.ph_basemodel.PHBasemodel method)

from_data() (aphin.utils.data.data.Data class method) (aphin.utils.data.dataset.DiscBrakeDataset class method) from_identification() (aphin.utils.data.data.PHIdentifiedData class method) (aphin.utils.data.dataset.PHIdentifiedDataset class method) from_txt() (aphin.utils.data.dataset.DiscBrakeDataset class method)

G

get_config() (aphin.layers.system_layer.SystemLayer method) get_initial_conditions() (aphin.utils.data.data.Data method) get_loss() (aphin.identification.phin.PHIN method) get_loss_second_part() (aphin.identification.aphin.APHIN method) (aphin.identification.conv_aphin.ConvAPHIN method) get_parameter_dependent_weights() (aphin.layers.lti_layer.LTILayer method) get_projection_properties() (aphin.identification.aphin.APHIN method) get_quantities_of_interest() (in module aphin.utils.visualizations)

get_quantity_of_interest() (in module aphin.utils.visualizations) get_sim_idx() (in module aphin.utils.visualizations) get_system_matrices() (aphin.layers.lti_layer.LTILayer method) (aphin.layers.phq_layer.PHQLayer method) get_system_matrix() (aphin.systems.lti_systems.LTISystem method) (aphin.systems.ph_systems.PHSystem method) get_system_weights() (aphin.identification.ph_basemodel.PHBasemodel method) get_trainable_weights() (aphin.identification.aphin.APHIN method) (aphin.identification.ph_basemodel.PHBasemodel method)

H

H() (aphin.systems.ph_systems.DescrPHSystem method) (aphin.systems.ph_systems.PHSystem method)

I

implicit_midpoint() (aphin.identification.aphin.APHIN method) (in module aphin.utils.integrators) init_parameter_dependent_weights() (aphin.layers.lti_layer.LTILayer method) init_weights() (aphin.identification.projection_aphin.ProjectionAPHIN method) (aphin.layers.lti_layer.LTILayer method) (aphin.layers.phq_layer.PHQLayer method)

is_pos_def() (aphin.systems.lti_systems.LTISystem static method) is_regular() (aphin.systems.lti_systems.LTISystem method) is_skew_sym() (aphin.systems.lti_systems.LTISystem static method) is_sym() (aphin.systems.lti_systems.LTISystem static method)

J

J (aphin.layers.lti_layer.LTILayer property)

L

lhs() (aphin.layers.descriptor_ph_layer.DescriptorPHLayer method) (aphin.layers.descriptor_ph_layer.DescriptorPHQLayer method) (aphin.layers.system_layer.SystemLayer method) LinearOperatorSkewSym (class in aphin.operators.linear_operator_skew_sym) LinearOperatorSym (class in aphin.operators.linear_operator_sym)

LinearOperatorSymPosDef (class in aphin.operators.linear_operator_sym_pos_def) load() (aphin.identification.ph_basemodel.PHBasemodel static method) LTIDataset (class in aphin.utils.data.data) LTILayer (class in aphin.layers.lti_layer) LTISystem (class in aphin.systems.lti_systems)

M

matprint() (in module aphin.utils.print_matrices) module aphin aphin.identification aphin.identification.aphin aphin.identification.conv_aphin aphin.identification.ph_basemodel aphin.identification.phin aphin.identification.projection_aphin aphin.layers aphin.layers.descriptor_ph_layer aphin.layers.lti_layer aphin.layers.ph_layer aphin.layers.phq_layer aphin.layers.system_layer aphin.operators aphin.operators.linear_operator_skew_sym aphin.operators.linear_operator_sym aphin.operators.linear_operator_sym_pos_def aphin.operators.operator_utils aphin.systems aphin.systems.lti_systems aphin.systems.ph_systems aphin.utils aphin.utils.callbacks_tensorflow aphin.utils.configuration aphin.utils.data aphin.utils.data.data aphin.utils.data.dataset aphin.utils.experiments aphin.utils.integrators aphin.utils.print_matrices aphin.utils.save_results aphin.utils.transformations aphin.utils.visualizations

N

n_matrices_dofs (aphin.layers.lti_layer.LTILayer property) (aphin.layers.phq_layer.PHQLayer property)

new_fig() (in module aphin.utils.visualizations)

O

obtain_ph_data() (aphin.utils.data.data.PHIdentifiedData static method) obtain_ph_map_data() (aphin.utils.data.data.PHIdentifiedData static method)

obtain_results_from_ph_autoencoder() (aphin.utils.data.data.PHIdentifiedData static method) obtain_results_from_ph_network() (aphin.utils.data.data.PHIdentifiedData static method)

P

ph_matrices (aphin.utils.data.data.Data property) (aphin.utils.data.dataset.Dataset property) ph_matrices_test (aphin.utils.data.dataset.Dataset property) PHBasemodel (class in aphin.identification.ph_basemodel) PHIdentifiedData (class in aphin.utils.data.data) PHIdentifiedDataset (class in aphin.utils.data.dataset) PHIN (class in aphin.identification.phin) PHLayer (class in aphin.layers.ph_layer) PHQLayer (class in aphin.layers.phq_layer) PHSystem (class in aphin.systems.ph_systems) plot_errors() (in module aphin.utils.visualizations) plot_time_trajectories_all() (in module aphin.utils.visualizations) plot_train_history() (in module aphin.utils.visualizations) plot_X() (in module aphin.utils.visualizations) plot_x() (in module aphin.utils.visualizations) plot_X_comparison() (in module aphin.utils.visualizations)

plot_x_comparison() (in module aphin.utils.visualizations) plot_X_dt_comparison() (in module aphin.utils.visualizations) plot_X_dt_reconstruction() (in module aphin.utils.visualizations) plot_x_dt_reconstruction() (in module aphin.utils.visualizations) plot_X_reconstruction() (in module aphin.utils.visualizations) plot_x_reconstruction() (in module aphin.utils.visualizations) plot_Z() (in module aphin.utils.visualizations) plot_z() (in module aphin.utils.visualizations) plot_Z_dt_ph() (in module aphin.utils.visualizations) plot_z_dt_ph() (in module aphin.utils.visualizations) plot_Z_dt_ph_map() (in module aphin.utils.visualizations) plot_z_dt_ph_map() (in module aphin.utils.visualizations) plot_Z_ph() (in module aphin.utils.visualizations) plot_z_ph() (in module aphin.utils.visualizations) print_matrices() (in module aphin.utils.print_matrices) projection_properties() (aphin.identification.aphin.APHIN method) ProjectionAPHIN (class in aphin.identification.projection_aphin)

Q

Q (aphin.layers.phq_layer.PHQLayer property)

Q_to_I_transformation() (in module aphin.utils.transformations) quad() (aphin.systems.lti_systems.LTISystem static method)

R

R (aphin.layers.lti_layer.LTILayer property) (aphin.layers.ph_layer.PHLayer property) read_config() (aphin.utils.configuration.Configuration method) read_data_from_npz() (aphin.utils.data.data.Data static method) reconstruct() (aphin.identification.aphin.APHIN method) rescale_X() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method)

reshape_conv_data() (aphin.identification.conv_aphin.ConvAPHIN method) reshape_dxr_dz() (aphin.identification.aphin.APHIN method) (aphin.identification.conv_aphin.ConvAPHIN method) reshape_features_to_states() (in module aphin.utils.transformations) reshape_inputs_to_features() (in module aphin.utils.transformations) reshape_states_to_features() (in module aphin.utils.transformations) run_all_yaml_files() (in module aphin.utils.experiments) run_various_experiments() (in module aphin.utils.experiments)

S

save() (aphin.identification.ph_basemodel.PHBasemodel method) save_as_png() (in module aphin.utils.visualizations) save_config() (aphin.utils.configuration.Configuration method) (in module aphin.utils.save_results) save_data() (aphin.utils.data.data.Data static method) save_evaluation_times() (in module aphin.utils.save_results) save_latent_traj_as_csv() (aphin.utils.data.data.PHIdentifiedData method) save_results() (in module aphin.utils.save_results) save_state_traj_as_csv() (aphin.utils.data.data.Data method) save_training_times() (in module aphin.utils.save_results) save_traj_as_csv() (aphin.utils.data.data.Data method) save_weights() (in module aphin.utils.save_results) scale_all() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) scale_Mu() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) scale_quantity() (aphin.utils.data.data.Data method) scale_U() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method)

scale_X() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) sec() (in module aphin.identification.projection_aphin) setup_matplotlib() (in module aphin.utils.visualizations) shape (aphin.utils.data.data.Data property) (aphin.utils.data.dataset.Dataset property) shape_test (aphin.utils.data.dataset.Dataset property) single_error_plot() (in module aphin.utils.visualizations) solve() (aphin.systems.lti_systems.DescrLTISystem method) (aphin.systems.lti_systems.LTISystem method) (aphin.systems.ph_systems.DescrPHSystem method) solve_dt() (aphin.systems.lti_systems.LTISystem method) solve_Riccati() (in module aphin.utils.transformations) split_inputs() (aphin.identification.ph_basemodel.PHBasemodel method) split_state_into_domains() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) stable (aphin.systems.lti_systems.LTISystem property) states_to_features() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) SystemLayer (class in aphin.layers.system_layer)

T

test_data (aphin.utils.data.dataset.Dataset property) test_step() (aphin.identification.aphin.APHIN method) (aphin.identification.phin.PHIN method) train_step() (aphin.identification.aphin.APHIN method) (aphin.identification.phin.PHIN method) train_test_split() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method)

train_test_split_sim_idx() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method) transform_pH_to_Q_identity() (aphin.systems.ph_systems.PHSystem method) (in module aphin.utils.transformations) truncate_time() (aphin.utils.data.data.Data method) (aphin.utils.data.dataset.Dataset method)

V

vis_modes() (aphin.identification.aphin.APHIN method)

W

write_to_experiment_overview() (in module aphin.utils.save_results)