Note
Go to the end to download the full example code
Assisted specification
Example of the estimation of several versions of the model using assisted specification algorithm. The catalog of specifications is defined in Specification of a catalog of models . All specifications are estimated. Have a look at Assisted specification for an example where the number of specifications is too high to be enumerated.
- author:
Michel Bierlaire, EPFL
- date:
Wed Apr 12 16:58:49 2023
import biogeme.biogeme_logging as blog
from biogeme.results import compile_estimation_results
from biogeme.multiobjectives import loglikelihood_dimension
from biogeme.assisted import AssistedSpecification
from plot_b21multiple_models_spec import the_biogeme, PARETO_FILE_NAME
logger = blog.get_screen_logger(blog.INFO)
logger.info('Example b21multipleModels')
income_segmentation=INCOME: [{0: 'inc-zero', 1: 'inc-under50', 2: 'inc-50-100', 3: 'inc-100+', 4: 'inc-unknown'}] ref: inc-zero
Total number of possible specifications: 36
Example b21multipleModels
Creation of the object capturing the assisted specification algorithm. Its constructor takes three arguments:
the biogeme object containing the specifications and the database,
an object defining the objectives to minimize. Here, we use the opposite of the log lieklihood and the number of estimated parameters.
the name of the file where the estimated are saved, and organized into a Pareto set.
assisted_specification = AssistedSpecification(
biogeme_object=the_biogeme,
multi_objectives=loglikelihood_dimension,
pareto_file_name=PARETO_FILE_NAME,
)
Unable to read file b21multiple_models.pareto. Pareto set empty.
The algorithm is run.
non_dominated_models = assisted_specification.run()
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_TIME Function Relgrad Radius Rho
0 -0.49 -0.92 -0.88 -0.67 5.4e+03 0.041 10 1.1 ++
1 -0.18 -0.73 -1 -1.2 5.3e+03 0.0072 1e+02 1.1 ++
2 -0.16 -0.7 -1.1 -1.3 5.3e+03 0.00018 1e+03 1 ++
3 -0.16 -0.7 -1.1 -1.3 5.3e+03 1.1e-07 1e+03 1 ++
default_specification=ASC:no_seg;B_COST:no_seg;TRAIN_TT:linear
We consider all possible combinations of the catalogs.
Model 0/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME Function Relgrad Radius Rho
0 -0.27 -0.11 -0.78 0.18 -0.34 -0.14 -0.13 -0.042 -0.021 -1 5.4e+03 0.036 10 1 ++
1 -0.072 -0.068 -0.98 2.4 -1.5 0.65 0.41 -0.066 0.77 -1.6 5e+03 0.028 1e+02 0.94 ++
2 -0.07 -0.2 -1.1 2.1 -1.6 0.66 0.28 -0.76 0.78 -1.7 5e+03 0.00071 1e+03 1 ++
3 -0.07 -0.2 -1.1 2.1 -1.6 0.66 0.28 -0.76 0.78 -1.7 5e+03 5.1e-06 1e+03 1 ++
Model 1/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_male ASC_TRAIN ASC_TRAIN_male B_COST B_COST_GA B_TIME Function Relgrad Radius Rho
0 -0.32 -0.12 -0.37 -0.59 -0.89 -0.15 -1 5.3e+03 0.036 10 1 ++
1 -0.17 0.22 0.41 -1.3 -0.94 -0.88 -1.7 5.2e+03 0.0094 1e+02 1 ++
2 -0.18 0.25 0.42 -1.3 -0.96 -1 -1.7 5.2e+03 0.00022 1e+03 1 ++
3 -0.18 0.25 0.42 -1.3 -0.96 -1 -1.7 5.2e+03 2.3e-07 1e+03 1 ++
Model 2/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_male ASC_TRAIN ASC_TRAIN_male B_COST B_TIME Function Relgrad Radius Rho
0 -0.52 -0.039 -0.33 -0.81 -0.89 -0.63 5.3e+03 0.043 10 1.1 ++
1 -0.47 0.28 0.038 -1.2 -1 -1.2 5.2e+03 0.0093 1e+02 1.1 ++
2 -0.46 0.31 0.089 -1.2 -1.1 -1.2 5.2e+03 0.00033 1e+03 1 ++
3 -0.46 0.31 0.089 -1.2 -1.1 -1.2 5.2e+03 4.1e-07 1e+03 1 ++
Model 3/36
Model 4/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_COST_GA B_TIME Function Relgrad Radius Rho
0 -0.5 -0.92 -0.9 0.097 -0.67 5.4e+03 0.041 10 1.1 ++
1 -0.13 -0.71 -0.98 -0.74 -1.2 5.3e+03 0.0075 1e+02 1.1 ++
2 -0.097 -0.68 -1 -1 -1.3 5.3e+03 0.0002 1e+03 1 ++
3 -0.097 -0.68 -1 -1 -1.3 5.3e+03 1.2e-06 1e+03 1 ++
Model 5/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME Function Relgrad Radius Rho
0 -0.41 -0.23 -1 0.85 -0.75 -0.21 -0.31 -0.11 -0.052 -0.7 5.2e+03 0.049 10 1.1 ++
1 -0.28 -0.19 -1.2 1.9 -1.5 0.54 0.19 -0.54 0.71 -1.1 5e+03 0.012 1e+02 1.1 ++
2 -0.26 -0.21 -1.3 2 -1.6 0.59 0.23 -0.78 0.78 -1.2 5e+03 0.0006 1e+03 1 ++
3 -0.26 -0.21 -1.3 2 -1.6 0.59 0.23 -0.78 0.78 -1.2 5e+03 1.8e-06 1e+03 1 ++
Model 6/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_TIME Function Relgrad Radius Rho
0 -0.46 -0.21 -0.15 -0.51 1 -0.8 -0.88 -0.6 5.1e+03 0.045 10 1.1 ++
1 -0.6 -0.37 0.36 -0.54 1.7 -0.96 -1.1 -1.1 5e+03 0.012 1e+02 1.1 ++
2 -0.61 -0.41 0.41 -0.53 1.9 -1.1 -1.1 -1.2 4.9e+03 0.0007 1e+03 1 ++
3 -0.61 -0.41 0.41 -0.53 1.9 -1.1 -1.1 -1.2 4.9e+03 4.3e-06 1e+03 1 ++
Model 7/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_TIME Function Relgrad Radius Rho
0 -0.3 -0.74 -0.39 -1 5.5e+03 0.044 10 1 ++
1 -0.0041 -0.54 -0.93 -1.6 5.3e+03 0.0052 1e+02 1.1 ++
2 0.0019 -0.51 -1 -1.7 5.3e+03 0.00015 1e+03 1 ++
3 0.0019 -0.51 -1 -1.7 5.3e+03 1.4e-07 1e+03 1 ++
Model 8/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_COST_GA B_TIME lambda_time Function Relgrad Radius Rho
0 -0.45 -0.2 -0.73 0.39 -0.73 -0.15 -1 1.6 5.5e+03 0.12 1 0.83 +
1 -0.19 -0.33 -1.1 1.4 -1.1 -0.2 -1.3 0.91 5.1e+03 0.022 10 1.1 ++
2 0.034 -1.1 -0.87 2 -1.1 1.3 -1.9 0.26 5e+03 0.013 10 0.81 +
3 -0.066 -0.95 -1 2 -1.1 1 -1.7 0.36 5e+03 0.0012 1e+02 1 ++
4 -0.068 -0.89 -1 2 -1.1 0.92 -1.7 0.38 5e+03 3.3e-05 1e+03 1 ++
5 -0.068 -0.89 -1 2 -1.1 0.92 -1.7 0.38 5e+03 8.2e-08 1e+03 1 ++
Model 9/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_TIME lambda_time Function Relgrad Radius Rho
0 -0.5 -0.71 -0.82 -1 1.7 5.6e+03 0.15 1 0.77 +
1 -0.35 -0.77 -1.3 -1.7 0.69 5.4e+03 0.049 10 1 ++
2 0.017 -0.47 -1 -1.7 0.53 5.3e+03 0.002 1e+02 0.96 ++
3 -0.0043 -0.48 -1.1 -1.7 0.51 5.3e+03 1.3e-05 1e+03 1 ++
4 -0.0043 -0.48 -1.1 -1.7 0.51 5.3e+03 1.8e-09 1e+03 1 ++
Model 10/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME Function Relgrad Radius Rho
0 -0.47 -0.21 -0.15 -0.51 1 -0.82 -0.69 -0.15 -0.32 -0.094 -0.041 -0.59 5.1e+03 0.045 10 1.1 ++
1 -0.62 -0.29 0.38 -0.57 1.8 -0.94 -1.4 0.51 0.15 -0.37 0.71 -1.1 4.9e+03 0.012 1e+02 1.1 ++
2 -0.65 -0.33 0.44 -0.58 1.9 -1.1 -1.5 0.55 0.16 -0.6 0.75 -1.2 4.9e+03 0.00074 1e+03 1 ++
3 -0.65 -0.33 0.44 -0.58 1.9 -1.1 -1.5 0.55 0.16 -0.6 0.75 -1.2 4.9e+03 5.9e-06 1e+03 1 ++
Model 11/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_COST_GA B_TIME Function Relgrad Radius Rho
0 -0.46 -0.19 -0.15 -0.51 1 -0.8 -0.88 -0.0059 -0.6 5.1e+03 0.045 10 1.1 ++
1 -0.61 -0.93 0.36 -0.54 1.7 -0.97 -1.1 0.93 -1.1 4.9e+03 0.012 1e+02 1.1 ++
2 -0.62 -0.98 0.41 -0.54 1.9 -1.1 -1.1 0.89 -1.2 4.9e+03 0.0007 1e+03 1 ++
3 -0.62 -0.98 0.41 -0.54 1.9 -1.1 -1.1 0.89 -1.2 4.9e+03 4.4e-06 1e+03 1 ++
Model 12/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_male ASC_TRAIN ASC_TRAIN_male B_COST B_COST_GA B_TIME Function Relgrad Radius Rho
0 -0.52 -0.04 -0.33 -0.81 -0.91 0.11 -0.63 5.3e+03 0.043 10 1.1 ++
1 -0.42 0.29 0.052 -1.1 -0.98 -0.72 -1.2 5.2e+03 0.0097 1e+02 1.1 ++
2 -0.41 0.31 0.11 -1.2 -1 -1 -1.3 5.2e+03 0.00036 1e+03 1 ++
3 -0.41 0.31 0.11 -1.2 -1 -1 -1.3 5.2e+03 9.1e-07 1e+03 1 ++
Model 13/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_male ASC_TRAIN ASC_TRAIN_male B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME Function Relgrad Radius Rho
0 -0.56 0.012 -0.36 -0.78 -1 0.16 -0.03 0.12 0.29 -0.63 5.3e+03 0.043 10 1.1 ++
1 -0.48 0.3 0.017 -1.1 -1.4 0.49 0.17 -0.28 0.72 -1.2 5.2e+03 0.0097 1e+02 1.1 ++
2 -0.47 0.33 0.069 -1.2 -1.5 0.53 0.18 -0.41 0.78 -1.3 5.2e+03 0.00037 1e+03 1 ++
3 -0.47 0.33 0.069 -1.2 -1.5 0.53 0.18 -0.41 0.78 -1.3 5.2e+03 5.1e-07 1e+03 1 ++
Model 14/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME lambda_time Function Relgrad Radius Rho
0 -0.48 -0.72 -0.74 -0.31 -0.26 -0.092 -0.047 -1 1.6 5.6e+03 0.13 1 0.81 +
1 -0.22 -0.64 -0.91 0.12 -0.47 -0.36 -0.013 -1.6 0.65 5.3e+03 0.038 10 1 ++
2 0.012 -0.49 -1.5 0.6 0.27 -0.59 0.8 -1.7 0.51 5.3e+03 0.00074 1e+02 1 ++
3 0.0042 -0.49 -1.6 0.62 0.28 -0.65 0.81 -1.7 0.5 5.3e+03 7e-06 1e+03 1 ++
4 0.0042 -0.49 -1.6 0.62 0.28 -0.65 0.81 -1.7 0.5 5.3e+03 1.3e-09 1e+03 1 ++
Model 15/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME Function Relgrad Radius Rho
0 -0.34 -0.18 -0.16 -0.44 0.47 -0.6 -0.69 -0.28 -0.25 -0.075 -0.042 -1 5.2e+03 0.036 10 1 ++
1 -0.37 -0.29 0.34 -0.24 2 -0.98 -1.5 0.6 0.22 -0.3 0.76 -1.6 4.9e+03 0.018 1e+02 1 ++
2 -0.43 -0.34 0.41 -0.25 2 -1.1 -1.5 0.63 0.21 -0.59 0.78 -1.7 4.9e+03 0.0011 1e+03 1 ++
3 -0.43 -0.34 0.42 -0.25 2.1 -1.2 -1.6 0.63 0.21 -0.61 0.78 -1.7 4.9e+03 9.2e-06 1e+04 1 ++
4 -0.43 -0.34 0.42 -0.25 2.1 -1.2 -1.6 0.63 0.21 -0.61 0.78 -1.7 4.9e+03 9.6e-08 1e+04 1 ++
Model 16/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_TIME lambda_time Function Relgrad Radius Rho
0 -0.45 -0.24 -0.25 -0.46 0.57 -0.64 -1 -0.92 1.9 5.5e+03 0.22 1 0.73 +
1 -0.47 -0.36 0.12 -0.56 1.6 -1.1 -0.95 -1 1.2 5e+03 0.044 10 1.2 ++
2 -0.47 -0.36 0.12 -0.56 1.6 -1.1 -0.95 -1 1.2 5e+03 0.044 1.6 -11 -
3 -0.47 -0.36 0.12 -0.56 1.6 -1.1 -0.95 -1 1.2 5e+03 0.044 0.8 -0.46 -
4 -0.48 -0.4 0.3 -0.55 1.9 -1.2 -1.1 -1.5 0.42 4.9e+03 0.017 8 0.99 ++
5 -0.42 -0.45 0.41 -0.21 1.9 -1.1 -1.1 -1.7 0.33 4.9e+03 0.00079 80 0.98 ++
6 -0.42 -0.45 0.41 -0.21 1.9 -1.1 -1.1 -1.7 0.33 4.9e+03 3.4e-06 80 1 ++
Model 17/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_COST_GA B_TIME lambda_time Function Relgrad Radius Rho
0 -0.44 -0.24 -0.24 -0.46 0.57 -0.65 -1 -0.17 -0.92 1.9 5.5e+03 0.22 1 0.73 +
1 -0.47 -0.33 0.13 -0.55 1.6 -1.1 -0.94 -0.19 -1 1.2 5e+03 0.046 10 1.2 ++
2 -0.47 -0.33 0.13 -0.55 1.6 -1.1 -0.94 -0.19 -1 1.2 5e+03 0.046 1.8 -14 -
3 -0.47 -0.33 0.13 -0.55 1.6 -1.1 -0.94 -0.19 -1 1.2 5e+03 0.046 0.88 -0.88 -
4 -0.46 -0.35 0.34 -0.56 1.9 -1.2 -1.2 -0.16 -1.6 0.36 4.9e+03 0.023 8.8 0.91 ++
5 -0.43 -1.3 0.41 -0.21 1.9 -1.1 -1.1 1.6 -1.7 0.34 4.9e+03 0.0036 8.8 0.82 +
6 -0.42 -1.2 0.41 -0.22 2 -1.2 -1.1 1.2 -1.7 0.33 4.9e+03 0.00065 88 1.2 ++
7 -0.42 -1.1 0.41 -0.22 2 -1.2 -1.1 0.98 -1.7 0.33 4.9e+03 0.00011 8.8e+02 1.1 ++
8 -0.42 -1.1 0.41 -0.22 2 -1.2 -1.1 0.98 -1.7 0.33 4.9e+03 5.3e-06 8.8e+02 1 ++
Model 18/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_male ASC_TRAIN ASC_TRAIN_male B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME lambda_time Function Relgrad Radius Rho
0 -0.43 -0.22 -0.44 -0.66 -1 -0.42 -0.35 -0.11 -0.06 -0.9 2 5.7e+03 0.27 1 0.68 +
1 -0.52 0.77 0.56 -1.4 -0.96 0.3 -0.49 -0.51 0.066 -1.6 1.1 5.3e+03 0.049 1 0.84 +
2 -0.14 0.38 0.66 -1.2 -1.6 0.62 0.25 -0.36 0.96 -2.2 0.34 5.1e+03 0.029 1 0.87 +
3 -0.3 0.32 0.33 -1.3 -1.5 0.59 0.23 -0.37 0.84 -1.7 0.42 5.1e+03 0.0026 10 0.96 ++
4 -0.3 0.32 0.35 -1.3 -1.6 0.59 0.23 -0.37 0.85 -1.7 0.45 5.1e+03 7.5e-05 1e+02 0.98 ++
5 -0.3 0.32 0.35 -1.3 -1.6 0.59 0.23 -0.37 0.85 -1.7 0.45 5.1e+03 9.2e-08 1e+02 1 ++
Model 19/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_male ASC_TRAIN ASC_TRAIN_male B_COST B_TIME lambda_time Function Relgrad Radius Rho
0 -0.45 -0.24 -0.43 -0.62 -1 -0.89 1.8 5.6e+03 0.2 1 0.72 +
1 -0.65 0.58 0.39 -1.5 -1 -1.6 0.85 5.2e+03 0.028 10 0.94 ++
2 -0.21 0.3 0.48 -1.3 -1.1 -1.9 0.42 5.1e+03 0.0096 1e+02 0.95 ++
3 -0.29 0.3 0.36 -1.3 -1.1 -1.7 0.45 5.1e+03 0.0004 1e+03 0.98 ++
4 -0.29 0.3 0.36 -1.3 -1.1 -1.7 0.45 5.1e+03 6.7e-07 1e+03 1 ++
Model 20/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_male ASC_TRAIN ASC_TRAIN_male B_COST B_COST_GA B_TIME lambda_time Function Relgrad Radius Rho
0 -0.44 -0.23 -0.43 -0.62 -1 -0.18 -0.89 1.9 5.6e+03 0.2 1 0.72 +
1 -0.63 0.58 0.39 -1.5 -0.97 -0.42 -1.6 0.86 5.2e+03 0.029 10 0.94 ++
2 -0.14 0.3 0.51 -1.3 -1 -1 -1.9 0.4 5.1e+03 0.011 1e+02 0.93 ++
3 -0.23 0.31 0.39 -1.3 -1 -1.1 -1.7 0.44 5.1e+03 0.00049 1e+03 0.98 ++
4 -0.23 0.31 0.39 -1.3 -1 -1.1 -1.7 0.44 5.1e+03 1.9e-06 1e+03 1 ++
Model 21/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_COST_GA B_TIME lambda_time Function Relgrad Radius Rho
0 -0.5 -0.71 -0.82 -0.17 -1 1.7 5.6e+03 0.15 1 0.77 +
1 -0.33 -0.78 -1.3 -0.38 -1.6 0.69 5.4e+03 0.049 10 1 ++
2 0.085 -0.44 -0.96 -1.2 -1.7 0.53 5.3e+03 0.002 1e+02 0.96 ++
3 0.06 -0.46 -1 -1.1 -1.7 0.51 5.3e+03 1e-05 1e+03 1 ++
4 0.06 -0.46 -1 -1.1 -1.7 0.51 5.3e+03 7.2e-10 1e+03 1 ++
Model 22/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_TIME Function Relgrad Radius Rho
0 -0.27 -0.12 -0.76 0.19 -0.37 -1 5.4e+03 0.044 10 1 ++
1 -0.072 -0.11 -0.97 2.4 -0.96 -1.6 5e+03 0.027 1e+02 0.94 ++
2 -0.067 -0.29 -1 2.1 -1.1 -1.7 5e+03 0.00066 1e+03 1 ++
3 -0.067 -0.29 -1 2.1 -1.1 -1.7 5e+03 2.1e-06 1e+03 1 ++
Model 23/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_male ASC_TRAIN ASC_TRAIN_male B_COST B_TIME Function Relgrad Radius Rho
0 -0.33 -0.13 -0.37 -0.59 -0.89 -1 5.3e+03 0.036 10 1 ++
1 -0.22 0.22 0.4 -1.3 -1 -1.6 5.2e+03 0.0091 1e+02 1 ++
2 -0.24 0.25 0.4 -1.3 -1 -1.7 5.2e+03 0.00022 1e+03 1 ++
3 -0.24 0.25 0.4 -1.3 -1 -1.7 5.2e+03 2.4e-07 1e+03 1 ++
Model 24/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME Function Relgrad Radius Rho
0 -0.29 -0.75 -0.36 -0.14 -0.13 -0.045 -0.023 -1 5.5e+03 0.035 10 1 ++
1 0.0049 -0.54 -1.4 0.6 0.37 -0.17 0.73 -1.6 5.3e+03 0.0064 1e+02 1.1 ++
2 0.011 -0.51 -1.5 0.63 0.28 -0.64 0.75 -1.7 5.3e+03 0.00037 1e+03 1 ++
3 0.011 -0.51 -1.5 0.63 0.28 -0.64 0.75 -1.7 5.3e+03 2.2e-06 1e+03 1 ++
Model 25/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_male ASC_TRAIN ASC_TRAIN_male B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME Function Relgrad Radius Rho
0 -0.32 -0.13 -0.37 -0.6 -0.72 -0.28 -0.27 -0.082 -0.045 -1 5.3e+03 0.036 10 1 ++
1 -0.22 0.24 0.38 -1.3 -1.4 0.56 0.22 -0.22 0.76 -1.6 5.2e+03 0.0092 1e+02 1 ++
2 -0.25 0.27 0.38 -1.3 -1.5 0.6 0.23 -0.36 0.81 -1.7 5.2e+03 0.00022 1e+03 1 ++
3 -0.25 0.27 0.38 -1.3 -1.5 0.6 0.23 -0.36 0.81 -1.7 5.2e+03 2.4e-07 1e+03 1 ++
Model 26/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_COST_GA B_TIME Function Relgrad Radius Rho
0 -0.27 -0.12 -0.76 0.19 -0.36 -0.089 -1 5.4e+03 0.044 10 1 ++
1 -0.08 -0.61 -0.98 2.4 -0.98 0.71 -1.6 5e+03 0.027 1e+02 0.93 ++
2 -0.071 -0.87 -1.1 2.1 -1.1 0.92 -1.7 5e+03 0.00067 1e+03 1 ++
3 -0.071 -0.87 -1.1 2.1 -1.1 0.92 -1.7 5e+03 2e-06 1e+03 1 ++
Model 27/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_COST_GA B_TIME Function Relgrad Radius Rho
0 -0.3 -0.74 -0.39 -0.095 -1 5.5e+03 0.043 10 1 ++
1 0.037 -0.52 -0.88 -0.53 -1.6 5.3e+03 0.0053 1e+02 1.1 ++
2 0.061 -0.48 -0.95 -0.97 -1.7 5.3e+03 0.00033 1e+03 1.1 ++
3 0.063 -0.48 -0.95 -1.1 -1.7 5.3e+03 1.1e-05 1e+04 1 ++
4 0.063 -0.48 -0.95 -1.1 -1.7 5.3e+03 1.7e-08 1e+04 1 ++
Model 28/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME Function Relgrad Radius Rho
0 -0.49 -0.92 -1 0.2 -0.0026 0.026 0.21 -0.66 5.4e+03 0.041 10 1.1 ++
1 -0.17 -0.74 -1.4 0.52 0.22 -0.53 0.69 -1.2 5.3e+03 0.0075 1e+02 1.1 ++
2 -0.15 -0.71 -1.5 0.56 0.24 -0.66 0.75 -1.3 5.3e+03 0.0002 1e+03 1 ++
3 -0.15 -0.71 -1.5 0.56 0.24 -0.66 0.75 -1.3 5.3e+03 1.5e-07 1e+03 1 ++
Model 29/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_COST_GA B_TIME Function Relgrad Radius Rho
0 -0.34 -0.18 -0.16 -0.43 0.47 -0.59 -0.76 -0.12 -1 5.2e+03 0.042 10 1 ++
1 -0.36 -0.91 0.33 -0.21 2 -1 -1 0.89 -1.6 4.9e+03 0.018 1e+02 1 ++
2 -0.39 -0.99 0.37 -0.2 2 -1.2 -1.1 0.91 -1.7 4.9e+03 0.0011 1e+03 1 ++
3 -0.39 -0.99 0.38 -0.2 2 -1.2 -1.1 0.91 -1.7 4.9e+03 8.4e-06 1e+04 1 ++
4 -0.39 -0.99 0.38 -0.2 2 -1.2 -1.1 0.91 -1.7 4.9e+03 5.4e-10 1e+04 1 ++
Model 30/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME lambda_time Function Relgrad Radius Rho
0 -0.43 -0.25 -0.22 -0.48 0.63 -0.69 -1 -0.42 -0.35 -0.11 -0.06 -0.93 2 5.6e+03 0.29 1 0.69 +
1 -0.35 -0.33 0.26 -0.46 1.6 -1.1 -0.7 0.05 -0.38 -0.23 -0.0044 -0.92 1.5 5.1e+03 0.079 10 1.1 ++
2 -0.35 -0.33 0.26 -0.46 1.6 -1.1 -0.7 0.05 -0.38 -0.23 -0.0044 -0.92 1.5 5.1e+03 0.079 5 -1.4e+03 -
3 -0.35 -0.33 0.26 -0.46 1.6 -1.1 -0.7 0.05 -0.38 -0.23 -0.0044 -0.92 1.5 5.1e+03 0.079 2.5 -23 -
4 -0.35 -0.33 0.26 -0.46 1.6 -1.1 -0.7 0.05 -0.38 -0.23 -0.0044 -0.92 1.5 5.1e+03 0.079 1.2 -1.8 -
5 -0.44 -0.41 0.53 -0.31 2.1 -0.96 -1.3 -0.14 -0.44 -0.44 0.074 -2 0.26 4.9e+03 0.022 1.2 0.69 +
6 -0.45 -0.36 0.44 -0.26 2 -1.1 -1.5 0.66 0.23 -0.58 0.89 -1.7 0.31 4.9e+03 0.0046 12 0.91 ++
7 -0.45 -0.37 0.45 -0.26 2 -1.1 -1.6 0.63 0.22 -0.59 0.82 -1.7 0.33 4.9e+03 9.7e-05 1.2e+02 1 ++
8 -0.45 -0.37 0.45 -0.26 2 -1.1 -1.6 0.63 0.22 -0.59 0.82 -1.7 0.33 4.9e+03 1.4e-06 1.2e+02 1 ++
Model 31/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_TIME lambda_time Function Relgrad Radius Rho
0 -0.45 -0.21 -0.73 0.39 -0.73 -1 1.6 5.5e+03 0.12 1 0.83 +
1 -0.2 -0.35 -1.1 1.4 -1.1 -1.3 0.9 5.1e+03 0.022 10 1.1 ++
2 0.037 -0.36 -0.87 2 -1.1 -1.9 0.26 5e+03 0.012 10 0.82 +
3 -0.061 -0.31 -1 2 -1.1 -1.7 0.36 5e+03 0.0012 1e+02 1 ++
4 -0.064 -0.31 -1 2 -1.1 -1.7 0.38 5e+03 3.1e-05 1e+03 1 ++
5 -0.064 -0.31 -1 2 -1.1 -1.7 0.38 5e+03 3.6e-09 1e+03 1 ++
Model 32/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME lambda_time Function Relgrad Radius Rho
0 -0.43 -0.19 -0.73 0.37 -0.67 -0.28 -0.23 -0.082 -0.042 -1 1.6 5.4e+03 0.1 1 0.86 +
1 -0.19 -0.32 -1.1 1.4 -0.84 -0.12 -0.37 -0.21 -0.031 -1.3 0.83 5.1e+03 0.023 10 1.1 ++
2 0.0088 -0.24 -0.93 2.1 -1.6 0.63 0.26 -0.57 0.83 -1.9 0.28 5e+03 0.0077 1e+02 0.91 ++
3 -0.065 -0.22 -1 2.1 -1.6 0.67 0.28 -0.78 0.84 -1.7 0.36 5e+03 0.00067 1e+03 1 ++
4 -0.068 -0.22 -1 2.1 -1.6 0.66 0.28 -0.79 0.84 -1.7 0.37 5e+03 9.8e-06 1e+04 1 ++
5 -0.068 -0.22 -1 2.1 -1.6 0.66 0.28 -0.79 0.84 -1.7 0.37 5e+03 4e-10 1e+04 1 ++
Model 33/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_TIME Function Relgrad Radius Rho
0 -0.36 -0.25 -0.88 0.66 -1 -0.79 5.2e+03 0.047 10 1.1 ++
1 -0.28 -0.28 -1.2 1.9 -1.1 -1.1 5.1e+03 0.014 1e+02 1.1 ++
2 -0.25 -0.3 -1.3 2 -1.1 -1.2 5.1e+03 0.0007 1e+03 1 ++
3 -0.25 -0.3 -1.3 2 -1.1 -1.2 5.1e+03 2.4e-06 1e+03 1 ++
Model 34/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_TIME Function Relgrad Radius Rho
0 -0.34 -0.18 -0.17 -0.44 0.47 -0.59 -0.76 -1 5.2e+03 0.044 10 1 ++
1 -0.36 -0.35 0.33 -0.21 2 -1 -1 -1.6 4.9e+03 0.018 1e+02 1 ++
2 -0.39 -0.42 0.37 -0.2 2 -1.2 -1.1 -1.7 4.9e+03 0.0011 1e+03 1 ++
3 -0.39 -0.42 0.38 -0.2 2 -1.2 -1.1 -1.7 4.9e+03 8.5e-06 1e+04 1 ++
4 -0.39 -0.42 0.38 -0.2 2 -1.2 -1.1 -1.7 4.9e+03 5.5e-10 1e+04 1 ++
Model 35/36
File biogeme.toml has been parsed.
*** Estimate b21multiple_models_000000
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_COST_GA B_TIME Function Relgrad Radius Rho
0 -0.43 -0.22 -1 0.9 -0.93 -0.072 -0.7 5.2e+03 0.046 10 1.1 ++
1 -0.28 -0.87 -1.2 1.9 -1.1 0.98 -1.1 5.1e+03 0.011 1e+02 1.1 ++
2 -0.25 -0.87 -1.3 2 -1.1 0.89 -1.2 5e+03 0.00055 1e+03 1 ++
3 -0.25 -0.87 -1.3 2 -1.1 0.89 -1.2 5e+03 1.5e-06 1e+03 1 ++
Pareto file has been updated: b21multiple_models.pareto
Before the algorithm: 1 models, with 1 Pareto.
After the algorithm: 36 models, with 8 Pareto.
VNS algorithm completed. Postprocessing of the Pareto optimal solutions
Pareto set initialized from file with 36 elements [8 Pareto] and 0 invalid elements.
File biogeme.toml has been parsed.
*** Initial values of the parameters are obtained from the file __b21multiple_models_000000.iter
Parameter values restored from __b21multiple_models_000000.iter
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_TIME lambda_time Function Relgrad Radius Rho
0 -0.51 -0.7 0.47 -0.42 2.1 -1 -1 -1.6 0.3 4.9e+03 0.014 10 0.99 ++
1 -0.42 -0.41 0.41 -0.22 2 -1.1 -1.1 -1.7 0.34 4.9e+03 0.00042 1e+02 0.99 ++
2 -0.42 -0.41 0.41 -0.22 2 -1.1 -1.1 -1.7 0.34 4.9e+03 3.6e-06 1e+02 1 ++
Results saved in file b21multiple_models_000000.html
Results saved in file b21multiple_models_000000.pickle
File biogeme.toml has been parsed.
*** Initial values of the parameters are obtained from the file __b21multiple_models_000001.iter
Cannot read file __b21multiple_models_000001.iter. Statement is ignored.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_COST_inc-100+ B_COST_inc-50-1 B_COST_inc-unde B_COST_inc-unkn B_TIME lambda_time Function Relgrad Radius Rho
0 -0.51 -0.73 0.39 -0.68 2.1 -1 -0.88 -0.028 -0.43 -0.23 -0.012 -1.4 0.32 4.9e+03 0.013 10 0.99 ++
1 -0.45 -0.33 0.44 -0.26 2 -1.1 -1.5 0.56 0.15 -0.52 0.76 -1.7 0.35 4.9e+03 0.0019 1e+02 1 ++
2 -0.45 -0.37 0.45 -0.26 2 -1.1 -1.6 0.63 0.21 -0.59 0.82 -1.7 0.33 4.9e+03 4.1e-05 1e+03 1 ++
3 -0.45 -0.37 0.45 -0.26 2 -1.1 -1.6 0.63 0.21 -0.59 0.82 -1.7 0.33 4.9e+03 4.6e-07 1e+03 1 ++
Results saved in file b21multiple_models_000001.html
Results saved in file b21multiple_models_000001.pickle
File biogeme.toml has been parsed.
*** Initial values of the parameters are obtained from the file __b21multiple_models_000002.iter
Cannot read file __b21multiple_models_000002.iter. Statement is ignored.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_TIME Function Relgrad Radius Rho
0 -0.19 -0.62 -1.1 -1.2 5.3e+03 0.017 10 1.1 ++
1 -0.16 -0.7 -1.1 -1.3 5.3e+03 0.00069 1e+02 1 ++
2 -0.16 -0.7 -1.1 -1.3 5.3e+03 1.2e-06 1e+02 1 ++
Results saved in file b21multiple_models_000002.html
Results saved in file b21multiple_models_000002.pickle
File biogeme.toml has been parsed.
*** Initial values of the parameters are obtained from the file __b21multiple_models_000003.iter
Cannot read file __b21multiple_models_000003.iter. Statement is ignored.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_TIME Function Relgrad Radius Rho
0 -0.22 -0.15 -0.48 1 -0.93 -1.7 5.2e+03 0.049 10 1.1 ++
1 -0.06 -0.28 -0.96 2.1 -1.1 -1.6 5e+03 0.013 1e+02 1 ++
2 -0.065 -0.27 -1 2.1 -1.1 -1.7 5e+03 0.00034 1e+03 1 ++
3 -0.065 -0.27 -1 2.1 -1.1 -1.7 5e+03 5.6e-07 1e+03 1 ++
Results saved in file b21multiple_models_000003.html
Results saved in file b21multiple_models_000003.pickle
File biogeme.toml has been parsed.
*** Initial values of the parameters are obtained from the file __b21multiple_models_000004.iter
Cannot read file __b21multiple_models_000004.iter. Statement is ignored.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_COST_GA B_TIME lambda_time Function Relgrad Radius Rho
0 -0.26 -0.88 0.16 -1.2 2 -0.33 -1 -0.015 -1.2 0.69 5e+03 0.024 10 0.94 ++
1 -0.37 -1.4 0.39 -0.068 1.9 -1.3 -1.1 1.7 -1.7 0.2 4.9e+03 0.0075 10 0.82 +
2 -0.42 -1.2 0.42 -0.21 2 -1.2 -1.1 1.3 -1.7 0.33 4.9e+03 0.0012 1e+02 1.1 ++
3 -0.42 -1.1 0.41 -0.22 2 -1.2 -1.1 1 -1.7 0.33 4.9e+03 0.00022 1e+03 1.1 ++
4 -0.42 -1 0.41 -0.22 2 -1.2 -1.1 0.92 -1.7 0.33 4.9e+03 1.6e-05 1e+04 1 ++
5 -0.42 -1 0.41 -0.22 2 -1.2 -1.1 0.92 -1.7 0.33 4.9e+03 9e-08 1e+04 1 ++
Results saved in file b21multiple_models_000004.html
Results saved in file b21multiple_models_000004.pickle
File biogeme.toml has been parsed.
*** Initial values of the parameters are obtained from the file __b21multiple_models_000005.iter
Cannot read file __b21multiple_models_000005.iter. Statement is ignored.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_TRAIN B_COST B_TIME lambda_time Function Relgrad Radius Rho
0 -0.053 -0.42 -1.1 -1.6 0.4 5.3e+03 0.018 10 1 ++
1 -0.00093 -0.47 -1.1 -1.7 0.52 5.3e+03 0.0011 1e+02 0.98 ++
2 -0.0046 -0.48 -1.1 -1.7 0.51 5.3e+03 1.6e-05 1e+03 1 ++
3 -0.0046 -0.48 -1.1 -1.7 0.51 5.3e+03 2.8e-09 1e+03 1 ++
Results saved in file b21multiple_models_000005.html
Results saved in file b21multiple_models_000005.pickle
File biogeme.toml has been parsed.
*** Initial values of the parameters are obtained from the file __b21multiple_models_000006.iter
Cannot read file __b21multiple_models_000006.iter. Statement is ignored.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_TRAIN ASC_TRAIN_GA B_COST B_TIME lambda_time Function Relgrad Radius Rho
0 -0.14 -0.19 -0.75 1 -1 -1.5 0.28 5.1e+03 0.025 10 1.1 ++
1 -0.063 -0.3 -0.97 2 -1.1 -1.7 0.42 5e+03 0.0067 1e+02 0.99 ++
2 -0.063 -0.31 -1 2 -1.1 -1.7 0.38 5e+03 8.5e-05 1e+03 1 ++
3 -0.063 -0.31 -1 2 -1.1 -1.7 0.38 5e+03 6.6e-08 1e+03 1 ++
Results saved in file b21multiple_models_000006.html
Results saved in file b21multiple_models_000006.pickle
File biogeme.toml has been parsed.
*** Initial values of the parameters are obtained from the file __b21multiple_models_000007.iter
Cannot read file __b21multiple_models_000007.iter. Statement is ignored.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. ASC_CAR ASC_CAR_GA ASC_CAR_male ASC_TRAIN ASC_TRAIN_GA ASC_TRAIN_male B_COST B_TIME Function Relgrad Radius Rho
0 -0.45 -0.71 0.42 -0.47 2.3 -1 -0.9 -1.5 4.9e+03 0.024 10 1 ++
1 -0.39 -0.39 0.38 -0.2 2 -1.2 -1.1 -1.7 4.9e+03 0.0011 1e+02 1 ++
2 -0.39 -0.39 0.38 -0.2 2 -1.2 -1.1 -1.7 4.9e+03 3e-06 1e+02 1 ++
Results saved in file b21multiple_models_000007.html
Results saved in file b21multiple_models_000007.pickle
Pareto: 8
Condidered: 36
Removed: 10
summary, description = compile_estimation_results(
non_dominated_models, use_short_names=True
)
print(summary)
Model_000000 Model_000001 Model_000002 Model_000003 Model_000004 Model_000005 Model_000006 Model_000007
Number of estimated parameters 9 13 4 6 10 5 7 8
Sample size 6768 6768 6768 6768 6768 6768 6768 6768
Final log likelihood -4881.916954 -4862.364941 -5331.252007 -5021.233909 -4879.461203 -5292.095411 -4995.755387 -4900.883369
Akaike Information Criterion 9781.833907 9750.729881 10670.504014 10054.467818 9778.922406 10594.190822 10005.510775 9817.766739
Bayesian Information Criterion 9843.213555 9839.389373 10697.783858 10095.387584 9847.122015 10628.290626 10053.250501 9872.326426
ASC_CAR (t-test) -0.417 (-4.23) -0.453 (-4.4) -0.155 (-2.66) -0.0646 (-1.25) -0.422 (-4.29) -0.00462 (-0.0963) -0.064 (-1.22) -0.389 (-3.95)
ASC_CAR_GA (t-test) -0.447 (-2.19) -0.371 (-1.84) -0.268 (-1.35) -1.03 (-2.56) -0.313 (-1.59) -0.415 (-2.02)
ASC_CAR_male (t-test) 0.412 (3.95) 0.449 (4.17) 0.413 (3.95) 0.377 (3.65)
ASC_TRAIN (t-test) -0.219 (-2.42) -0.261 (-2.82) -0.701 (-8.49) -1.05 (-14.6) -0.22 (-2.44) -0.485 (-7.53) -1.03 (-13.9) -0.203 (-2.23)
ASC_TRAIN_GA (t-test) 1.96 (21.1) 1.99 (21.1) 2.13 (24.3) 1.96 (21.2) 2.04 (22.8) 2.03 (22.4)
ASC_TRAIN_male (t-test) -1.15 (-13.4) -1.12 (-12.9) -1.15 (-13.4) -1.2 (-14.1)
B_COST (t-test) -1.09 (-15) -1.58 (-5.84) -1.08 (-15.9) -1.07 (-15) -1.1 (-15.1) -1.08 (-15.9) -1.1 (-14.8) -1.06 (-15.2)
B_TIME (t-test) -1.69 (-21.2) -1.71 (-21.3) -1.28 (-12.3) -1.68 (-21.5) -1.7 (-21.3) -1.67 (-21.9) -1.67 (-21.3) -1.7 (-21.5)
lambda_time (t-test) 0.334 (4.54) 0.329 (4.5) 0.334 (4.55) 0.51 (6.6) 0.382 (5.18)
B_COST_inc-100+ (t-test) 0.629 (2.29)
B_COST_inc-50-100 (t-test) 0.215 (0.69)
B_COST_inc-under50 (t-test) -0.588 (-1.08)
B_COST_inc-unknown (t-test) 0.817 (2.56)
B_COST_GA (t-test) 0.915 (1.85)
Explanation of the short names of the model.
for k, v in description.items():
if k != v:
print(f'{k}: {v} AIC={summary.at["Akaike Information Criterion", k]}')
Model_000000: ASC:MALE-GA;B_COST:no_seg;TRAIN_TT:boxcox AIC=9781.833907090044
Model_000001: ASC:MALE-GA;B_COST:INCOME;TRAIN_TT:boxcox AIC=9750.72988109646
Model_000002: ASC:no_seg;B_COST:no_seg;TRAIN_TT:linear AIC=10670.504013896403
Model_000003: ASC:GA;B_COST:no_seg;TRAIN_TT:log AIC=10054.467818331683
Model_000004: ASC:MALE-GA;B_COST:GA;TRAIN_TT:boxcox AIC=9778.922405513185
Model_000005: ASC:no_seg;B_COST:no_seg;TRAIN_TT:boxcox AIC=10594.19082155567
Model_000006: ASC:GA;B_COST:no_seg;TRAIN_TT:boxcox AIC=10005.510774519298
Model_000007: ASC:MALE-GA;B_COST:no_seg;TRAIN_TT:log AIC=9817.76673883066
Total running time of the script: (0 minutes 12.576 seconds)