Note
Go to the end to download the full example code.
Re-estimation of best models¶
After running the assisted specification algorithm for the 432
specifications in everything_spec.py, we use post-processing to
re-estimate all Pareto optimal models, and display some information
about the algorithm.
See Bierlaire and Ortelli (2023).
Michel Bierlaire, EPFL Sun Apr 27 2025, 18:38:57
from IPython.core.display_functions import display
from biogeme.biogeme import BIOGEME
from biogeme.results_processing import get_pandas_estimated_parameters
try:
import matplotlib.pyplot as plt
can_plot = True
except ModuleNotFoundError:
can_plot = False
import biogeme.biogeme_logging as blog
from biogeme.assisted import ParetoPostProcessing
from everything_spec import model_catalog, database
logger = blog.get_screen_logger(level=blog.INFO)
logger.info('Example b08selected_specification')
PARETO_FILE_NAME = 'saved_results/b07everything_assisted.pareto'
Example b08selected_specification
Create the biogeme object from the catalog.
the_biogeme = BIOGEME(database, model_catalog)
the_biogeme.model_name = 'b09post_processing'
Biogeme parameters read from biogeme.toml.
Create the post-processing object.
post_processing = ParetoPostProcessing(
biogeme_object=the_biogeme, pareto_file_name=PARETO_FILE_NAME
)
Pareto set initialized from file with 171 elements [13 Pareto] and 0 invalid elements.
Re-estimate the models.
all_results = post_processing.reestimate(recycle=True)
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000000.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000000.iter
Cannot read file __b09post_processing_000000.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is rather complex, we cancel the calculation of second derivatives. If you want to control the parameters, change the algorithm from "automatic" to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: BFGS with trust region for simple bounds
Iter. Function Relgrad Radius Rho
0 1.1e+04 0.4 0.5 -0.32 -
1 1e+04 15 0.5 0.14 +
2 1e+04 15 0.25 0.14 -
3 1e+04 15 0.12 0.14 -
4 1e+04 15 0.062 0.14 -
5 1e+04 15 0.031 0.14 -
6 1e+04 15 0.016 0.14 -
7 1e+04 15 0.0078 0.14 -
8 1e+04 15 0.0039 -2 -
9 1e+04 15 0.002 -1.6 -
10 1e+04 15 0.00098 -0.98 -
11 1e+04 15 0.00049 -0.38 -
12 1e+04 12 0.00049 0.27 +
13 1e+04 1 0.0049 1.4 ++
14 1e+04 3.5 0.049 0.98 ++
15 9.8e+03 14 0.049 0.83 +
16 9.7e+03 29 0.049 0.23 +
17 9.4e+03 9.7 0.049 0.87 +
18 9.3e+03 8.4 0.049 0.58 +
19 9.3e+03 1.9 0.49 0.95 ++
20 9.3e+03 1.9 0.24 -0.18 -
21 9.1e+03 23 0.24 0.39 +
22 8.9e+03 10 0.24 0.52 +
23 8.5e+03 4.9 0.24 0.89 +
24 8.5e+03 4.9 0.12 -1.5 -
25 8.5e+03 4.9 0.061 -0.44 -
26 8.5e+03 11 0.061 0.37 +
27 8.4e+03 3.2 0.61 1 ++
28 8.4e+03 3.2 0.31 0.029 -
29 8.3e+03 13 0.31 0.44 +
30 8.3e+03 13 0.15 -0.67 -
31 8.3e+03 13 0.076 -0.35 -
32 8.3e+03 13 0.038 -0.2 -
33 8.3e+03 11 0.038 0.25 +
34 8.3e+03 6.3 0.38 1.1 ++
35 8.3e+03 6.3 0.19 -3.6 -
36 8.3e+03 6.3 0.095 -4.7 -
37 8.3e+03 6.3 0.048 -2.6 -
38 8.3e+03 6.3 0.024 -1.8 -
39 8.3e+03 6.3 0.012 -1.8 -
40 8.3e+03 6.3 0.006 -2.2 -
41 8.3e+03 6.3 0.003 -2.6 -
42 8.3e+03 6.3 0.0015 -3 -
43 8.3e+03 6.3 0.00075 -3.2 -
44 8.3e+03 6.3 0.00037 -3.4 -
45 8.3e+03 6.3 0.00019 -3.4 -
46 8.3e+03 6.3 9.3e-05 -2 -
47 8.3e+03 6.3 4.7e-05 -0.91 -
48 8.3e+03 6.1 4.7e-05 0.16 +
49 8.3e+03 1.1 4.7e-05 0.76 +
50 8.3e+03 0.16 0.00047 1.1 ++
51 8.3e+03 0.019 0.0047 0.99 ++
52 8.3e+03 1.3 0.047 0.97 ++
53 8.2e+03 0.4 0.47 1 ++
54 8.2e+03 0.4 0.23 -7.7 -
55 8.2e+03 0.4 0.12 -3.6 -
56 8.2e+03 0.4 0.058 -0.78 -
57 8.2e+03 8.7 0.058 0.18 +
58 8.2e+03 2 0.058 0.79 +
59 8.2e+03 1.7 0.058 0.86 +
60 8.2e+03 3.8 0.058 0.76 +
61 8.2e+03 3.8 0.029 0.053 -
62 8.2e+03 1.2 0.029 0.71 +
63 8.2e+03 1.5 0.029 0.89 +
64 8.1e+03 1.4 0.029 0.81 +
65 8.1e+03 1.6 0.029 0.84 +
66 8.1e+03 0.08 0.29 1 ++
67 8.1e+03 7.3 0.29 0.47 +
68 8.1e+03 7.3 0.15 -2.1 -
69 8.1e+03 7.3 0.073 -0.75 -
70 8.1e+03 1.6 0.073 0.45 +
71 8.1e+03 10 0.073 0.19 +
72 8.1e+03 1 0.73 0.94 ++
73 8.1e+03 1 0.36 -6.4 -
74 8.1e+03 1 0.18 -0.58 -
75 8.1e+03 4.1 0.18 0.41 +
76 8.1e+03 4.1 0.091 -0.58 -
77 8.1e+03 4.1 0.045 -0.11 -
78 8.1e+03 8.4 0.045 0.8 +
79 8.1e+03 4.2 0.045 0.26 +
80 8.1e+03 4.2 0.023 -0.041 -
81 8e+03 9.4 0.023 0.14 +
82 8e+03 2.7 0.23 0.93 ++
83 8e+03 13 0.23 0.64 +
84 8e+03 7.2 0.23 0.29 +
85 8e+03 7.2 0.11 -1.1 -
86 8e+03 7.2 0.057 0.019 -
87 8e+03 9.1 0.057 0.57 +
88 8e+03 0.38 0.057 0.47 +
89 8e+03 12 0.057 0.35 +
90 8e+03 12 0.028 -1.6 -
91 8e+03 12 0.014 -0.4 -
92 8e+03 12 0.0071 0.057 -
93 8e+03 9.1 0.0071 0.24 +
94 8e+03 0.62 0.071 1 ++
95 8e+03 0.62 0.036 -1.7 -
96 8e+03 0.62 0.018 -0.13 -
97 8e+03 2.5 0.018 0.27 +
98 8e+03 2 0.018 0.55 +
99 8e+03 2 0.0089 -2 -
100 8e+03 2 0.0044 -0.48 -
101 8e+03 2 0.0022 -0.16 -
102 8e+03 2.5 0.0022 0.24 +
103 8e+03 0.029 0.022 1 ++
104 8e+03 0.029 0.011 -0.26 -
105 8e+03 0.78 0.011 0.42 +
106 8e+03 0.12 0.11 0.93 ++
107 8e+03 0.26 0.11 0.54 +
108 8e+03 0.26 0.056 -4.4 -
109 8e+03 0.26 0.028 -0.75 -
110 8e+03 0.094 0.028 0.38 +
111 8e+03 0.094 0.014 -1.2 -
112 8e+03 0.44 0.014 0.64 +
113 8e+03 0.44 0.0069 -0.39 -
114 8e+03 0.44 0.0035 -0.85 -
115 8e+03 0.33 0.0035 0.22 +
116 8e+03 0.082 0.0035 0.83 +
117 8e+03 0.13 0.0035 0.89 +
118 8e+03 0.06 0.035 0.92 ++
119 8e+03 0.57 0.035 0.6 +
120 8e+03 0.57 0.017 -2.7 -
121 8e+03 0.57 0.0087 -1 -
122 8e+03 0.063 0.0087 0.23 +
123 8e+03 0.11 0.0087 0.81 +
124 8e+03 0.066 0.0087 0.67 +
125 8e+03 0.066 0.0043 -1.1 -
126 8e+03 0.31 0.0043 0.1 +
127 8e+03 0.066 0.0043 0.12 +
128 8e+03 0.021 0.0043 0.78 +
129 8e+03 0.00095 0.0043 0.75 +
130 8e+03 0.11 0.0043 0.84 +
131 8e+03 0.097 0.0043 0.46 +
132 8e+03 0.11 0.0043 0.85 +
133 8e+03 0.11 0.0022 -0.15 -
134 8e+03 0.051 0.0022 0.31 +
135 8e+03 0.016 0.022 0.92 ++
136 8e+03 0.15 0.022 0.29 +
137 8e+03 0.49 0.022 0.48 +
138 8e+03 0.49 0.011 -5.9 -
139 8e+03 0.49 0.0054 -2.6 -
140 8e+03 0.089 0.0054 0.35 +
141 8e+03 0.18 0.0054 0.45 +
142 8e+03 0.18 0.0027 -0.2 -
143 8e+03 0.15 0.0027 0.45 +
144 8e+03 0.033 0.0027 0.83 +
145 8e+03 0.033 0.0014 -0.87 -
146 8e+03 0.06 0.0014 0.24 +
147 8e+03 0.026 0.0014 0.74 +
148 8e+03 0.026 0.00068 -0.44 -
149 8e+03 0.029 0.00068 0.43 +
150 8e+03 0.0099 0.00068 0.88 +
151 8e+03 0.0032 0.00068 0.67 +
152 8e+03 0.0016 0.00068 0.84 +
153 8e+03 0.011 0.00068 0.88 +
154 8e+03 0.014 0.0068 0.95 ++
155 8e+03 0.059 0.0068 0.86 +
156 8e+03 0.059 0.0034 -4.2 -
157 8e+03 0.059 0.0017 -4.3 -
158 8e+03 0.059 0.00085 -2.2 -
159 8e+03 0.021 0.00085 0.12 +
160 8e+03 0.018 0.00085 0.76 +
161 8e+03 0.00025 0.00085 0.23 +
162 8e+03 0.069 0.00085 0.75 +
163 8e+03 0.051 0.00085 0.51 +
164 8e+03 0.065 0.00085 0.64 +
165 8e+03 0.065 0.00042 -0.084 -
166 8e+03 0.033 0.00042 0.53 +
167 8e+03 0.0081 0.00042 0.82 +
168 8e+03 0.0016 0.0042 0.95 ++
169 8e+03 0.0016 0.0021 -1.1 -
170 8e+03 0.0087 0.0021 0.22 +
171 8e+03 0.0087 0.0011 -0.55 -
172 8e+03 0.06 0.0011 0.15 +
173 8e+03 0.038 0.0011 0.47 +
174 8e+03 0.038 0.00053 -0.057 -
175 8e+03 0.0015 0.00053 0.73 +
176 8e+03 0.019 0.00053 0.11 +
177 8e+03 0.011 0.00053 0.64 +
178 8e+03 0.011 0.00026 -0.15 -
179 8e+03 0.0015 0.00026 0.57 +
180 8e+03 0.003 0.00026 0.49 +
181 8e+03 0.0015 0.00026 0.24 +
182 8e+03 0.0015 0.00013 0.00015 -
183 8e+03 0.00086 0.00013 0.61 +
184 8e+03 0.0003 0.00013 0.79 +
185 8e+03 0.00027 0.00013 0.78 +
186 8e+03 0.00092 0.0013 0.92 ++
187 8e+03 0.0029 0.0013 0.5 +
188 8e+03 0.0029 0.00066 -2 -
189 8e+03 0.0029 0.00033 -0.77 -
190 8e+03 0.0029 0.00017 -0.3 -
191 8e+03 1.6e-05 0.00017 0.82 +
192 8e+03 1.6e-05 8.3e-05 -0.17 -
193 8e+03 0.0023 8.3e-05 0.46 +
194 8e+03 0.0018 8.3e-05 0.35 +
195 8e+03 0.0008 0.00083 0.98 ++
196 8e+03 0.0018 0.00083 0.22 +
197 8e+03 0.0018 0.00041 -32 -
198 8e+03 0.0018 0.00021 -13 -
199 8e+03 0.0018 0.0001 -2.3 -
200 8e+03 0.00043 0.0001 0.23 +
201 8e+03 0.00043 5.2e-05 -0.74 -
202 8e+03 0.0014 5.2e-05 0.51 +
203 8e+03 0.0014 2.6e-05 -0.15 -
204 8e+03 0.00034 2.6e-05 0.71 +
205 8e+03 0.0012 2.6e-05 0.12 +
206 8e+03 0.00062 2.6e-05 0.68 +
207 8e+03 0.00011 2.6e-05 0.11 +
208 8e+03 0.00012 2.6e-05 0.64 +
209 8e+03 0.00012 1.3e-05 -0.68 -
210 8e+03 3.6e-05 1.3e-05 0.6 +
211 8e+03 6.8e-05 1.3e-05 0.47 +
212 8e+03 0.00023 1.3e-05 0.37 +
213 8e+03 0.00017 1.3e-05 0.53 +
214 8e+03 2.3e-05 1.3e-05 0.78 +
215 8e+03 7.4e-05 1.3e-05 0.57 +
216 8e+03 0.00013 1.3e-05 0.67 +
217 8e+03 0.0001 1.3e-05 0.58 +
218 8e+03 0.0001 6.5e-06 -0.77 -
219 8e+03 6.5e-05 6.5e-06 0.46 +
220 8e+03 2.7e-05 6.5e-06 0.52 +
221 8e+03 6.6e-06 6.5e-06 0.51 +
222 8e+03 3.1e-05 6.5e-05 0.93 ++
223 8e+03 3.1e-05 3.2e-05 -2.6 -
224 8e+03 3.1e-05 1.6e-05 -0.86 -
225 8e+03 9.4e-06 1.6e-05 0.41 +
226 8e+03 0.00014 1.6e-05 0.11 +
227 8e+03 4.8e-07 1.6e-05 0.7 +
Optimization algorithm has converged.
Relative gradient: 4.791828402604415e-07
Cause of termination: Relative gradient = 4.8e-07 <= 6.1e-06
Number of function evaluations: 507
Number of gradient evaluations: 279
Number of hessian evaluations: 0
Algorithm: BFGS with trust region for simple bound constraints
Number of iterations: 228
Proportion of Hessian calculation: 0/139 = 0.0%
Optimization time: 0:00:00.617287
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000001.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000001.iter
Cannot read file __b09post_processing_000001.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is not too complex, we activate the calculation of second derivatives. To change this behavior, modify the algorithm to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. asc_train_ref asc_train_diff_ b_time b_cost asc_car_ref asc_car_diff_GA Function Relgrad Radius Rho
0 -0.96 1 -0.72 -0.64 -0.31 -0.48 8.5e+03 0.043 10 1.1 ++
1 -1.1 1.4 -1.1 -0.69 -0.0034 -1.1 8.3e+03 0.0087 1e+02 1.1 ++
2 -1.1 1.5 -1.2 -0.7 0.014 -1.3 8.3e+03 0.0003 1e+03 1 ++
3 -1.1 1.5 -1.2 -0.7 0.014 -1.3 8.3e+03 5.2e-07 1e+03 1 ++
Optimization algorithm has converged.
Relative gradient: 5.196762190712167e-07
Cause of termination: Relative gradient = 5.2e-07 <= 6.1e-06
Number of function evaluations: 13
Number of gradient evaluations: 9
Number of hessian evaluations: 4
Algorithm: Newton with trust region for simple bound constraints
Number of iterations: 4
Proportion of Hessian calculation: 4/4 = 100.0%
Optimization time: 0:00:00.438901
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000002.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000002.iter
Cannot read file __b09post_processing_000002.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is rather complex, we cancel the calculation of second derivatives. If you want to control the parameters, change the algorithm from "automatic" to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: BFGS with trust region for simple bounds
Iter. asc_train_ref asc_train_diff_ b_time_train lambda_travel_t b_cost b_time_swissmet asc_car_ref asc_car_diff_GA b_time_car mu_existing Function Relgrad Radius Rho
0 0 0 0 1 0 0 0 0 0 1.8 1.1e+04 0.29 0.5 -0.56 -
1 0 0 0 1 0 0 0 0 0 1.8 1.1e+04 0.29 0.25 -0.044 -
2 -0.25 0.25 -0.25 1 -0.25 -0.25 0.25 -0.25 0.25 2 9.6e+03 0.16 0.25 0.41 +
3 -0.5 0.5 -0.5 0.75 -0.5 -0.5 0 -0.5 0 2.3 8.7e+03 0.093 0.25 0.7 +
4 -0.56 0.56 -0.75 0.57 -0.25 -0.75 -0.25 -0.5 -0.25 2.4 8.4e+03 0.039 0.25 0.58 +
5 -0.56 0.56 -0.75 0.57 -0.25 -0.75 -0.25 -0.5 -0.25 2.4 8.4e+03 0.039 0.12 -0.18 -
6 -0.68 0.68 -0.88 0.7 -0.38 -0.88 -0.12 -0.38 -0.38 2.5 8.4e+03 0.064 0.12 0.12 +
7 -0.56 0.78 -0.75 0.63 -0.5 -0.86 -0.25 -0.4 -0.5 2.4 8.3e+03 0.041 0.12 0.45 +
8 -0.62 0.79 -0.88 0.64 -0.52 -0.88 -0.16 -0.38 -0.56 2.4 8.2e+03 0.017 0.12 0.75 +
9 -0.53 0.8 -1 0.64 -0.49 -0.94 -0.18 -0.34 -0.67 2.3 8.2e+03 0.019 0.12 0.72 +
10 -0.45 0.81 -1.1 0.6 -0.53 -1 -0.061 -0.3 -0.72 2.3 8.2e+03 0.013 0.12 0.7 +
11 -0.38 0.82 -1.2 0.52 -0.54 -1.2 -0.077 -0.27 -0.82 2.3 8.2e+03 0.014 0.12 0.71 +
12 -0.39 0.83 -1.3 0.43 -0.51 -1.3 -0.033 -0.25 -0.9 2.2 8.2e+03 0.012 0.12 0.74 +
13 -0.39 0.83 -1.3 0.43 -0.51 -1.3 -0.033 -0.25 -0.9 2.2 8.2e+03 0.012 0.062 0.098 -
14 -0.33 0.86 -1.4 0.42 -0.55 -1.3 -0.019 -0.25 -0.91 2.2 8.1e+03 0.0086 0.062 0.78 +
15 -0.35 0.87 -1.4 0.4 -0.54 -1.3 0.014 -0.24 -0.93 2.2 8.1e+03 0.012 0.062 0.35 +
16 -0.31 0.89 -1.5 0.35 -0.54 -1.3 0.0024 -0.24 -0.98 2.2 8.1e+03 0.0045 0.62 0.95 ++
17 -0.31 0.89 -1.5 0.35 -0.54 -1.3 0.0024 -0.24 -0.98 2.2 8.1e+03 0.0045 0.31 -2.1 -
18 -0.31 0.89 -1.5 0.35 -0.54 -1.3 0.0024 -0.24 -0.98 2.2 8.1e+03 0.0045 0.16 -0.16 -
19 -0.27 0.92 -1.6 0.2 -0.62 -1.4 0.082 -0.23 -1.1 2.1 8.1e+03 0.011 0.16 0.46 +
20 -0.27 0.92 -1.6 0.2 -0.62 -1.4 0.082 -0.23 -1.1 2.1 8.1e+03 0.011 0.078 -0.045 -
21 -0.25 0.95 -1.7 0.23 -0.56 -1.4 0.065 -0.23 -1.1 2.1 8.1e+03 0.0039 0.078 0.77 +
22 -0.25 0.95 -1.7 0.23 -0.56 -1.4 0.065 -0.23 -1.1 2.1 8.1e+03 0.0039 0.039 -1.1 -
23 -0.25 0.95 -1.7 0.23 -0.56 -1.4 0.065 -0.23 -1.1 2.1 8.1e+03 0.0039 0.02 -2.1 -
24 -0.25 0.95 -1.7 0.23 -0.56 -1.4 0.065 -0.23 -1.1 2.1 8.1e+03 0.0039 0.0098 -0.22 -
25 -0.24 0.96 -1.7 0.22 -0.57 -1.4 0.056 -0.24 -1.1 2.1 8.1e+03 0.0042 0.0098 0.4 +
26 -0.25 0.95 -1.7 0.21 -0.58 -1.4 0.065 -0.23 -1.1 2 8.1e+03 0.0027 0.098 0.93 ++
27 -0.25 0.95 -1.7 0.21 -0.58 -1.4 0.065 -0.23 -1.1 2 8.1e+03 0.0027 0.049 -0.31 -
28 -0.25 0.95 -1.7 0.21 -0.58 -1.4 0.065 -0.23 -1.1 2 8.1e+03 0.0027 0.024 0.057 -
29 -0.24 0.96 -1.8 0.21 -0.58 -1.4 0.048 -0.24 -1.1 2 8.1e+03 0.0058 0.024 0.48 +
30 -0.25 0.96 -1.8 0.21 -0.6 -1.4 0.072 -0.24 -1.2 2 8.1e+03 0.0024 0.024 0.7 +
31 -0.24 0.97 -1.8 0.2 -0.59 -1.5 0.073 -0.25 -1.2 2 8.1e+03 0.0028 0.024 0.83 +
32 -0.25 0.98 -1.8 0.19 -0.59 -1.5 0.084 -0.25 -1.2 2 8.1e+03 0.0027 0.024 0.69 +
33 -0.23 0.99 -1.8 0.19 -0.6 -1.5 0.08 -0.26 -1.2 2 8.1e+03 0.0018 0.024 0.87 +
34 -0.24 1 -1.9 0.18 -0.61 -1.5 0.096 -0.27 -1.2 1.9 8.1e+03 0.0023 0.024 0.74 +
35 -0.23 1 -1.9 0.18 -0.59 -1.5 0.089 -0.28 -1.2 1.9 8.1e+03 0.0015 0.024 0.79 +
36 -0.23 1 -1.9 0.17 -0.62 -1.5 0.097 -0.29 -1.2 1.9 8.1e+03 0.002 0.024 0.49 +
37 -0.24 1 -1.9 0.17 -0.61 -1.5 0.094 -0.3 -1.3 1.9 8.1e+03 0.0012 0.024 0.74 +
38 -0.24 1 -1.9 0.17 -0.61 -1.5 0.094 -0.3 -1.3 1.9 8.1e+03 0.0012 0.012 -0.029 -
39 -0.23 1 -1.9 0.17 -0.61 -1.5 0.1 -0.3 -1.3 1.9 8.1e+03 0.0011 0.012 0.66 +
40 -0.24 1 -1.9 0.16 -0.61 -1.5 0.1 -0.31 -1.3 1.8 8.1e+03 0.001 0.012 0.76 +
41 -0.23 1 -2 0.16 -0.62 -1.5 0.11 -0.32 -1.3 1.8 8.1e+03 0.00066 0.012 0.88 +
42 -0.23 1 -2 0.16 -0.61 -1.5 0.11 -0.32 -1.3 1.8 8.1e+03 0.0007 0.012 0.7 +
43 -0.23 1 -2 0.16 -0.62 -1.5 0.11 -0.33 -1.3 1.8 8.1e+03 0.00053 0.12 0.93 ++
44 -0.23 1 -2 0.16 -0.62 -1.5 0.11 -0.33 -1.3 1.8 8.1e+03 0.00053 0.061 -25 -
45 -0.23 1 -2 0.16 -0.62 -1.5 0.11 -0.33 -1.3 1.8 8.1e+03 0.00053 0.031 -4 -
46 -0.23 1 -2 0.16 -0.62 -1.5 0.11 -0.33 -1.3 1.8 8.1e+03 0.00053 0.015 -2.5 -
47 -0.23 1 -2 0.16 -0.62 -1.5 0.11 -0.33 -1.3 1.8 8.1e+03 0.00053 0.0076 -0.51 -
48 -0.23 1 -2 0.16 -0.62 -1.5 0.11 -0.34 -1.3 1.8 8.1e+03 0.00056 0.0076 0.26 +
49 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.34 -1.3 1.8 8.1e+03 0.00037 0.0076 0.58 +
50 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.34 -1.3 1.8 8.1e+03 0.00037 0.0038 -0.56 -
51 -0.23 1 -2 0.16 -0.62 -1.5 0.11 -0.34 -1.3 1.8 8.1e+03 0.00034 0.0038 0.44 +
52 -0.24 1 -2 0.16 -0.62 -1.6 0.11 -0.34 -1.3 1.8 8.1e+03 0.00028 0.0038 0.35 +
53 -0.24 1 -2 0.16 -0.62 -1.6 0.11 -0.34 -1.3 1.8 8.1e+03 0.00028 0.0019 -0.37 -
54 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.34 -1.3 1.8 8.1e+03 0.00023 0.0019 0.78 +
55 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.34 -1.3 1.8 8.1e+03 0.00015 0.0019 0.45 +
56 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.35 -1.3 1.8 8.1e+03 0.00012 0.0019 0.71 +
57 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.35 -1.3 1.8 8.1e+03 5.4e-05 0.019 0.92 ++
58 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.35 -1.3 1.8 8.1e+03 5.4e-05 0.0095 -27 -
59 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.35 -1.3 1.8 8.1e+03 5.4e-05 0.0048 -3.3 -
60 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.35 -1.3 1.8 8.1e+03 5.4e-05 0.0024 -1.3 -
61 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.35 -1.3 1.8 8.1e+03 0.00011 0.0024 0.21 +
62 -0.23 1 -2 0.16 -0.62 -1.6 0.11 -0.35 -1.3 1.8 8.1e+03 0.00011 0.0012 -1.9 -
63 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 0.0001 0.0012 0.48 +
64 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 0.0001 0.0006 -0.74 -
65 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 3.1e-05 0.0006 0.77 +
66 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 4.1e-05 0.0006 0.18 +
67 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 1.3e-05 0.0006 0.72 +
68 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 2e-05 0.0006 0.57 +
69 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 2e-05 0.0003 -4.2 -
70 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 2e-05 0.00015 -0.88 -
71 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 1.1e-05 0.00015 0.5 +
72 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 1.1e-05 7.5e-05 -0.065 -
73 -0.23 1 -2 0.16 -0.62 -1.6 0.12 -0.35 -1.3 1.8 8.1e+03 3.1e-06 7.5e-05 0.81 -
Optimization algorithm has converged.
Relative gradient: 3.136739130383056e-06
Cause of termination: Relative gradient = 3.1e-06 <= 6.1e-06
Number of function evaluations: 169
Number of gradient evaluations: 95
Number of hessian evaluations: 0
Algorithm: BFGS with trust region for simple bound constraints
Number of iterations: 74
Proportion of Hessian calculation: 0/47 = 0.0%
Optimization time: 0:00:00.384599
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000003.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000003.iter
Cannot read file __b09post_processing_000003.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is rather complex, we cancel the calculation of second derivatives. If you want to control the parameters, change the algorithm from "automatic" to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: BFGS with trust region for simple bounds
Iter. asc_train b_time b_cost asc_car mu_existing Function Relgrad Radius Rho
0 0 0 0 0 1.8 1.1e+04 0.29 0.5 -0.2 -
1 -0.5 -0.5 -0.5 0.5 2.3 9.4e+03 0.23 0.5 0.27 +
2 0 -1 -0.49 0 1.8 8.8e+03 0.11 0.5 0.42 +
3 -0.5 -1.4 -0.58 0.12 1.9 8.7e+03 0.071 0.5 0.15 +
4 -0.5 -1.4 -0.58 0.12 1.9 8.7e+03 0.071 0.25 -0.44 -
5 -0.34 -1.1 -0.75 0.12 1.7 8.5e+03 0.018 0.25 0.82 +
6 -0.34 -1.1 -0.75 0.12 1.7 8.5e+03 0.018 0.12 -2.9 -
7 -0.34 -1.1 -0.75 0.12 1.7 8.5e+03 0.018 0.062 -0.5 -
8 -0.28 -1.1 -0.69 0.061 1.8 8.5e+03 0.015 0.062 0.32 +
9 -0.34 -1.1 -0.68 0.09 1.8 8.5e+03 0.011 0.062 0.46 +
10 -0.36 -1.1 -0.65 0.028 1.8 8.5e+03 0.0037 0.062 0.73 +
11 -0.38 -1 -0.67 0.045 1.9 8.5e+03 0.0085 0.062 0.18 +
12 -0.41 -1 -0.65 -0.0068 1.9 8.5e+03 0.0057 0.062 0.39 +
13 -0.41 -1 -0.65 -0.0068 1.9 8.5e+03 0.0057 0.031 -0.69 -
14 -0.41 -1 -0.65 -0.0068 1.9 8.5e+03 0.0057 0.016 -0.083 -
15 -0.39 -0.99 -0.66 0.0021 1.9 8.5e+03 0.0015 0.016 0.81 +
16 -0.38 -0.99 -0.65 0.0018 1.9 8.5e+03 0.0024 0.016 0.49 +
17 -0.38 -0.99 -0.65 0.0018 1.9 8.5e+03 0.0024 0.0078 -0.00095 -
18 -0.39 -0.99 -0.64 0.0096 2 8.5e+03 0.0019 0.0078 0.39 +
19 -0.38 -0.98 -0.64 0.0065 2 8.5e+03 0.0015 0.078 0.96 ++
20 -0.38 -0.97 -0.63 -0.0019 2 8.5e+03 0.0023 0.078 0.4 +
21 -0.38 -0.97 -0.63 -0.0019 2 8.5e+03 0.0023 0.039 -1.5 -
22 -0.38 -0.97 -0.63 -0.0019 2 8.5e+03 0.0023 0.02 -0.69 -
23 -0.38 -0.97 -0.63 -0.0019 2 8.5e+03 0.0023 0.0098 -0.21 -
24 -0.38 -0.97 -0.63 -0.0019 2 8.5e+03 0.0023 0.0049 -0.12 -
25 -0.38 -0.97 -0.63 -0.0046 2 8.5e+03 0.0014 0.0049 0.62 +
26 -0.38 -0.96 -0.63 0.00029 2 8.5e+03 0.00049 0.0049 0.69 +
27 -0.37 -0.96 -0.63 -0.00028 2 8.5e+03 0.00055 0.0049 0.27 +
28 -0.37 -0.96 -0.63 -0.00026 2 8.5e+03 0.00032 0.0049 0.5 +
29 -0.37 -0.96 -0.63 -0.00026 2 8.5e+03 0.00032 0.0024 -1.9 -
30 -0.37 -0.96 -0.63 0.00035 2 8.5e+03 0.00029 0.0024 0.67 +
31 -0.37 -0.96 -0.63 0.00035 2 8.5e+03 0.00029 0.0012 -0.6 -
32 -0.37 -0.96 -0.63 -0.00087 2 8.5e+03 0.00026 0.0012 0.27 +
33 -0.37 -0.96 -0.63 -0.00056 2 8.5e+03 0.00013 0.012 0.95 ++
34 -0.37 -0.96 -0.63 -0.0024 2.1 8.5e+03 0.00011 0.012 0.22 +
35 -0.37 -0.96 -0.63 -0.0024 2.1 8.5e+03 0.00011 0.0061 -12 -
36 -0.37 -0.96 -0.63 -0.0024 2.1 8.5e+03 0.00011 0.0031 -2.3 -
37 -0.37 -0.96 -0.63 -0.0024 2.1 8.5e+03 0.00011 0.0015 -0.39 -
38 -0.37 -0.96 -0.63 -0.0019 2.1 8.5e+03 0.00013 0.0015 0.48 +
39 -0.37 -0.96 -0.63 -0.0019 2.1 8.5e+03 0.00013 0.00076 -1.3 -
40 -0.37 -0.96 -0.63 -0.0019 2.1 8.5e+03 0.00013 0.00038 -0.043 -
41 -0.37 -0.96 -0.63 -0.0016 2.1 8.5e+03 5.6e-05 0.00038 0.49 +
42 -0.37 -0.96 -0.63 -0.0017 2.1 8.5e+03 5.9e-05 0.0038 0.98 ++
43 -0.37 -0.96 -0.63 -0.0017 2.1 8.5e+03 5.9e-05 0.0019 -0.18 -
44 -0.37 -0.96 -0.63 -0.0012 2.1 8.5e+03 0.00011 0.0019 0.34 +
45 -0.37 -0.96 -0.63 -0.0017 2.1 8.5e+03 5.5e-05 0.0019 0.12 +
46 -0.37 -0.96 -0.63 -0.0017 2.1 8.5e+03 5.5e-05 0.00095 -1.1 -
47 -0.37 -0.96 -0.63 -0.0013 2.1 8.5e+03 5.1e-05 0.00095 0.41 +
48 -0.37 -0.96 -0.63 -0.0013 2.1 8.5e+03 5.1e-05 0.00048 -2.8 -
49 -0.37 -0.96 -0.63 -0.0014 2.1 8.5e+03 3.7e-05 0.00048 0.51 +
50 -0.37 -0.96 -0.63 -0.0014 2.1 8.5e+03 3.7e-05 0.00024 -2.4 -
51 -0.37 -0.96 -0.63 -0.0014 2.1 8.5e+03 3.7e-05 0.00012 -0.2 -
52 -0.37 -0.96 -0.63 -0.0014 2.1 8.5e+03 1.7e-05 0.00012 0.77 +
53 -0.37 -0.96 -0.63 -0.0014 2.1 8.5e+03 1.7e-05 6e-05 -0.0077 -
54 -0.37 -0.96 -0.63 -0.0013 2.1 8.5e+03 1.4e-05 6e-05 0.4 +
55 -0.37 -0.96 -0.63 -0.0013 2.1 8.5e+03 5.5e-06 6e-05 0.69 +
Optimization algorithm has converged.
Relative gradient: 5.483087719371396e-06
Cause of termination: Relative gradient = 5.5e-06 <= 6.1e-06
Number of function evaluations: 121
Number of gradient evaluations: 65
Number of hessian evaluations: 0
Algorithm: BFGS with trust region for simple bound constraints
Number of iterations: 56
Proportion of Hessian calculation: 0/32 = 0.0%
Optimization time: 0:00:00.384000
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000004.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000004.iter
Cannot read file __b09post_processing_000004.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is not too complex, we activate the calculation of second derivatives. To change this behavior, modify the algorithm to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. asc_train b_time b_cost asc_car Function Relgrad Radius Rho
0 -0.76 -0.77 -0.7 -0.29 8.8e+03 0.04 10 1.1 ++
1 -0.66 -1.2 -0.77 -0.0015 8.7e+03 0.0064 1e+02 1.1 ++
2 -0.65 -1.3 -0.79 0.016 8.7e+03 0.00012 1e+03 1 ++
3 -0.65 -1.3 -0.79 0.016 8.7e+03 4e-08 1e+03 1 ++
Optimization algorithm has converged.
Relative gradient: 3.954408090874478e-08
Cause of termination: Relative gradient = 4e-08 <= 6.1e-06
Number of function evaluations: 13
Number of gradient evaluations: 9
Number of hessian evaluations: 4
Algorithm: Newton with trust region for simple bound constraints
Number of iterations: 4
Proportion of Hessian calculation: 4/4 = 100.0%
Optimization time: 0:00:00.386587
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000005.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000005.iter
Cannot read file __b09post_processing_000005.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is not too complex, we activate the calculation of second derivatives. To change this behavior, modify the algorithm to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. asc_train_ref asc_train_diff_ b_time_ref b_time_diff_1st b_cost asc_car_ref asc_car_diff_GA Function Relgrad Radius Rho
0 -0.93 1 -0.56 -0.4 -0.66 -0.29 -0.4 8.5e+03 0.041 10 1.1 ++
1 -1.1 1.4 -0.84 -0.56 -0.75 -0.01 -1.1 8.3e+03 0.0076 1e+02 1.1 ++
2 -1.2 1.5 -0.87 -0.62 -0.78 0.0051 -1.2 8.3e+03 0.00034 1e+03 1 ++
3 -1.2 1.5 -0.87 -0.62 -0.78 0.0051 -1.2 8.3e+03 6.4e-07 1e+03 1 ++
Optimization algorithm has converged.
Relative gradient: 6.381936273854108e-07
Cause of termination: Relative gradient = 6.4e-07 <= 6.1e-06
Number of function evaluations: 13
Number of gradient evaluations: 9
Number of hessian evaluations: 4
Algorithm: Newton with trust region for simple bound constraints
Number of iterations: 4
Proportion of Hessian calculation: 4/4 = 100.0%
Optimization time: 0:00:00.503758
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000006.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000006.iter
Cannot read file __b09post_processing_000006.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is rather complex, we cancel the calculation of second derivatives. If you want to control the parameters, change the algorithm from "automatic" to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: BFGS with trust region for simple bounds
Iter. asc_train_ref asc_train_diff_ b_time_train square_tt_coef cube_tt_coef b_cost b_time_swissmet asc_car_ref asc_car_diff_GA b_time_car mu_existing Function Relgrad Radius Rho
0 0 0 0 0 0 0 0 0 0 0 2.1 1e+04 0.61 0.5 -0.68 -
1 0 0 0 0 0 0 0 0 0 0 2.1 1e+04 0.61 0.25 -0.3 -
2 -0.25 0.25 -0.25 0 0 -0.25 0.25 0.25 -0.25 0.25 2.3 1e+04 11 0.25 0.12 +
3 -0.25 0.25 -0.25 0 0 -0.25 0.25 0.25 -0.25 0.25 2.3 1e+04 11 0.12 0.12 -
4 -0.25 0.25 -0.25 0 0 -0.25 0.25 0.25 -0.25 0.25 2.3 1e+04 11 0.062 -2.6 -
5 -0.25 0.25 -0.25 0 0 -0.25 0.25 0.25 -0.25 0.25 2.3 1e+04 11 0.031 -2.2 -
6 -0.25 0.25 -0.25 0 0 -0.25 0.25 0.25 -0.25 0.25 2.3 1e+04 11 0.016 -1.1 -
7 -0.25 0.25 -0.25 0 0 -0.25 0.25 0.25 -0.25 0.25 2.3 1e+04 11 0.0078 -0.68 -
8 -0.25 0.25 -0.25 0 0 -0.25 0.25 0.25 -0.25 0.25 2.3 1e+04 11 0.0039 -0.47 -
9 -0.25 0.25 -0.25 0 0 -0.25 0.25 0.25 -0.25 0.25 2.3 1e+04 11 0.002 -0.25 -
10 -0.25 0.25 -0.25 0 0 -0.25 0.25 0.25 -0.25 0.25 2.3 1e+04 11 0.00098 0.036 -
11 -0.25 0.25 -0.25 -0.00098 -0.00098 -0.25 0.25 0.25 -0.25 0.25 2.3 9.9e+03 2.7 0.00098 0.32 +
12 -0.25 0.25 -0.25 -0.0015 -0.00077 -0.25 0.25 0.25 -0.25 0.25 2.3 9.9e+03 1.6 0.0098 1.2 ++
13 -0.25 0.25 -0.25 -0.0073 -0.0004 -0.25 0.25 0.24 -0.25 0.24 2.3 9.8e+03 0.39 0.098 0.98 ++
14 -0.22 0.26 -0.21 -0.064 -0.0022 -0.26 0.28 0.18 -0.26 0.14 2.3 9.3e+03 6.3 0.098 0.64 +
15 -0.22 0.26 -0.21 -0.064 -0.0022 -0.26 0.28 0.18 -0.26 0.14 2.3 9.3e+03 6.3 0.049 0.088 -
16 -0.22 0.26 -0.21 -0.064 -0.0022 -0.26 0.28 0.18 -0.26 0.14 2.3 9.3e+03 6.3 0.024 -0.13 -
17 -0.22 0.26 -0.21 -0.064 -0.0022 -0.26 0.28 0.18 -0.26 0.14 2.3 9.3e+03 6.3 0.012 -0.37 -
18 -0.22 0.26 -0.21 -0.064 -0.0022 -0.26 0.28 0.18 -0.26 0.14 2.3 9.3e+03 6.3 0.0061 -0.59 -
19 -0.22 0.26 -0.21 -0.064 -0.0022 -0.26 0.28 0.18 -0.26 0.14 2.3 9.3e+03 6.3 0.0031 -0.37 -
20 -0.22 0.26 -0.21 -0.067 0.00085 -0.26 0.28 0.18 -0.26 0.14 2.3 9.3e+03 5.8 0.0031 0.33 +
21 -0.22 0.26 -0.21 -0.067 -0.0006 -0.26 0.28 0.18 -0.26 0.13 2.3 9.2e+03 2.6 0.031 0.91 ++
22 -0.21 0.27 -0.21 -0.076 5e-05 -0.26 0.29 0.16 -0.27 0.1 2.3 9.1e+03 2.1 0.031 0.86 +
23 -0.21 0.27 -0.21 -0.083 -0.00079 -0.27 0.3 0.14 -0.27 0.073 2.3 9.1e+03 3.3 0.031 0.64 +
24 -0.21 0.28 -0.21 -0.084 -0.00012 -0.27 0.31 0.12 -0.28 0.043 2.3 9e+03 0.091 0.31 0.94 ++
25 -0.21 0.28 -0.21 -0.084 -0.00012 -0.27 0.31 0.12 -0.28 0.043 2.3 9e+03 0.091 0.15 -0.4 -
26 -0.23 0.31 -0.29 -0.063 -0.0006 -0.31 0.35 0.016 -0.31 -0.11 2.3 8.9e+03 5.5 0.15 0.76 +
27 -0.23 0.31 -0.29 -0.063 -0.0006 -0.31 0.35 0.016 -0.31 -0.11 2.3 8.9e+03 5.5 0.076 -0.064 -
28 -0.26 0.32 -0.36 -0.059 4.9e-05 -0.33 0.33 0.031 -0.32 -0.074 2.3 8.8e+03 0.37 0.076 0.59 +
29 -0.23 0.37 -0.37 -0.1 0.0013 -0.38 0.25 -0.012 -0.34 -0.15 2.3 8.8e+03 2.8 0.076 0.27 +
30 -0.27 0.39 -0.45 -0.051 -7.8e-05 -0.41 0.21 -0.0086 -0.36 -0.15 2.4 8.7e+03 2.7 0.76 0.98 ++
31 -0.27 0.39 -0.45 -0.051 -7.8e-05 -0.41 0.21 -0.0086 -0.36 -0.15 2.4 8.7e+03 2.7 0.38 0.037 -
32 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.38 0.79 +
33 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.19 -4.7 -
34 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.095 -1.9 -
35 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.048 -1 -
36 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.024 -0.83 -
37 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.012 -0.88 -
38 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.006 -0.99 -
39 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.003 -1.1 -
40 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.0015 -1.2 -
41 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.00075 -1.2 -
42 -0.23 0.56 -0.62 0.086 -0.00091 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 8.1 0.00037 -0.22 -
43 -0.23 0.56 -0.62 0.086 -0.00053 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 6.5 0.00037 0.75 +
44 -0.23 0.56 -0.62 0.086 -0.00053 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 6.5 0.00019 -0.6 -
45 -0.23 0.56 -0.62 0.086 -0.00053 -0.52 -0.17 -0.14 -0.44 -0.39 2.4 8.4e+03 6.5 9.3e-05 -0.66 -
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170 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 0.00016 0.00017 0.93 ++
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176 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 2.2e-05 2.1e-05 0.2 +
177 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 2.2e-05 1e-05 -0.055 -
178 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 0.00012 1e-05 0.79 +
179 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 0.00012 5.2e-06 -0.68 -
180 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 0.00018 5.2e-06 0.2 +
181 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 0.00018 2.6e-06 -0.11 -
182 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 4.3e-05 2.6e-06 0.79 +
183 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 1.7e-05 2.6e-06 0.22 +
184 -0.31 1 -2.1 -0.11 0.00021 -0.62 -2.2 -0.47 -0.37 -1.5 1.8 8.1e+03 5.9e-06 2.6e-06 0.37 +
Optimization algorithm has converged.
Relative gradient: 5.868608100781634e-06
Cause of termination: Relative gradient = 5.9e-06 <= 6.1e-06
Number of function evaluations: 386
Number of gradient evaluations: 201
Number of hessian evaluations: 0
Algorithm: BFGS with trust region for simple bound constraints
Number of iterations: 185
Proportion of Hessian calculation: 0/100 = 0.0%
Optimization time: 0:00:00.470707
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000007.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000007.iter
Cannot read file __b09post_processing_000007.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is not too complex, we activate the calculation of second derivatives. To change this behavior, modify the algorithm to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. asc_train_ref asc_train_diff_ b_time square_tt_coef cube_tt_coef b_cost asc_car_ref asc_car_diff_GA Function Relgrad Radius Rho
0 0 0 0 0 0 0 0 0 1.1e+04 0.26 0.5 0.044 -
1 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 5 1 ++
2 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 2.5 -10 -
3 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 1.2 -8.5 -
4 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.62 -6.7 -
5 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.31 -2.5 -
6 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.16 -1.3 -
7 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.078 -1.2 -
8 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.039 -1.6 -
9 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.02 -2.3 -
10 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.0098 -3.2 -
11 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.0049 -4 -
12 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.0024 -4.6 -
13 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.0012 -2.5 -
14 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.00061 -1.3 -
15 -0.5 -0.056 -0.5 0 0 -0.33 -0.054 -0.5 9.1e+03 4 0.00031 -0.27 -
16 -0.5 -0.056 -0.5 0.00031 -0.00031 -0.33 -0.054 -0.5 9.1e+03 2.9 0.00031 0.65 +
17 -0.5 -0.056 -0.5 0.00061 -0.00024 -0.33 -0.054 -0.5 9.1e+03 1.1 0.00031 0.83 +
18 -0.5 -0.056 -0.5 0.00092 -0.00026 -0.33 -0.054 -0.5 9.1e+03 0.15 0.0031 0.99 ++
19 -0.5 -0.055 -0.5 0.004 -0.00026 -0.33 -0.054 -0.5 9.1e+03 0.33 0.031 1 ++
20 -0.52 -0.051 -0.53 0.034 -0.0004 -0.34 -0.055 -0.5 9e+03 0.29 0.31 1 ++
21 -0.67 0.063 -0.83 0.26 -0.0014 -0.45 -0.0092 -0.54 8.7e+03 2.4 0.31 0.64 +
22 -0.77 0.37 -0.93 0.036 -0.00036 -0.66 0.079 -0.64 8.5e+03 7.5 0.31 0.8 +
23 -0.82 0.67 -1.1 0.0066 -0.00033 -0.68 -0.038 -0.73 8.4e+03 5.5 3.1 1 ++
24 -0.82 0.67 -1.1 0.0066 -0.00033 -0.68 -0.038 -0.73 8.4e+03 5.5 1.5 -67 -
25 -0.82 0.67 -1.1 0.0066 -0.00033 -0.68 -0.038 -0.73 8.4e+03 5.5 0.76 -16 -
26 -0.82 0.67 -1.1 0.0066 -0.00033 -0.68 -0.038 -0.73 8.4e+03 5.5 0.38 -0.37 -
27 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.38 0.23 +
28 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.19 -4.3 -
29 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.095 -4.1 -
30 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.048 -3.7 -
31 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.024 -3.9 -
32 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.012 -4.2 -
33 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.006 -4.4 -
34 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.003 -3.7 -
35 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.0015 -2.4 -
36 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.00075 -1.6 -
37 -1 1.1 -1.4 -0.091 0.00048 -0.73 0.13 -0.82 8.4e+03 15 0.00037 -0.51 -
38 -1 1.1 -1.4 -0.091 0.00011 -0.73 0.13 -0.82 8.3e+03 11 0.00037 0.84 +
39 -1 1.1 -1.4 -0.09 0.00014 -0.73 0.13 -0.82 8.3e+03 3.1 0.00037 0.81 +
40 -1 1.1 -1.4 -0.09 0.00013 -0.73 0.13 -0.82 8.3e+03 0.32 0.0037 0.99 ++
41 -1 1.1 -1.4 -0.086 0.00011 -0.73 0.13 -0.82 8.3e+03 0.088 0.037 1 ++
42 -1 1.1 -1.5 -0.065 1.2e-05 -0.72 0.092 -0.83 8.3e+03 1.8 0.37 1 ++
43 -0.97 1.5 -1.7 -0.1 0.00017 -0.71 0.042 -0.93 8.2e+03 7.8 3.7 0.92 ++
44 -0.92 1.6 -2 -0.1 0.00019 -0.7 0.16 -1.1 8.2e+03 2 37 1 ++
45 -0.92 1.6 -2.1 -0.11 0.0002 -0.72 0.16 -1.2 8.2e+03 0.15 3.7e+02 1 ++
46 -0.92 1.6 -2.1 -0.1 0.0002 -0.72 0.16 -1.2 8.2e+03 0.017 3.7e+03 1 ++
47 -0.92 1.6 -2.1 -0.1 0.0002 -0.72 0.16 -1.3 8.2e+03 0.0012 3.7e+04 1 ++
48 -0.92 1.6 -2.1 -0.1 0.0002 -0.72 0.16 -1.3 8.2e+03 0.00022 3.7e+05 1 ++
49 -0.92 1.6 -2.1 -0.1 0.0002 -0.72 0.16 -1.3 8.2e+03 2.4e-05 3.7e+06 1 ++
50 -0.92 1.6 -2.1 -0.1 0.0002 -0.72 0.16 -1.3 8.2e+03 4.7e-06 3.7e+06 1 ++
Optimization algorithm has converged.
Relative gradient: 4.652015619896618e-06
Cause of termination: Relative gradient = 4.7e-06 <= 6.1e-06
Number of function evaluations: 98
Number of gradient evaluations: 47
Number of hessian evaluations: 23
Algorithm: Newton with trust region for simple bound constraints
Number of iterations: 51
Proportion of Hessian calculation: 23/23 = 100.0%
Optimization time: 0:00:00.563246
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000008.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000008.iter
Cannot read file __b09post_processing_000008.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is rather complex, we cancel the calculation of second derivatives. If you want to control the parameters, change the algorithm from "automatic" to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: BFGS with trust region for simple bounds
Iter. asc_train_ref asc_train_diff_ b_time_train_re b_time_train_di b_cost_train b_time_swissmet b_time_swissmet b_cost_swissmet asc_car_ref asc_car_diff_GA b_time_car_ref b_time_car_diff b_cost_car mu_existing Function Relgrad Radius Rho
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.8 1.1e+04 0.56 0.5 -0.64 -
1 0 0 0 0 0 0 0 0 0 0 0 0 0 1.8 1.1e+04 0.56 0.25 -0.32 -
2 0 0 0 0 0 0 0 0 0 0 0 0 0 1.8 1.1e+04 0.56 0.12 0.043 -
3 -0.12 0.12 -0.12 -0.12 -0.12 0.12 0.12 0.12 0.12 -0.12 0.12 -0.12 0.12 1.9 9.4e+03 0.21 0.12 0.41 +
4 -0.13 0.25 -0.25 -0.25 -0.25 0.25 0.25 0.25 0 -0.25 0 -0.25 0 2.1 9.1e+03 0.12 0.12 0.31 +
5 -0.1 0.28 -0.24 -0.25 -0.25 0.12 0.24 0.12 0.041 -0.28 0.033 -0.24 0.026 2.1 9e+03 0.095 1.2 0.96 ++
6 -0.1 0.28 -0.24 -0.25 -0.25 0.12 0.24 0.12 0.041 -0.28 0.033 -0.24 0.026 2.1 9e+03 0.095 0.62 -8.1 -
7 -0.1 0.28 -0.24 -0.25 -0.25 0.12 0.24 0.12 0.041 -0.28 0.033 -0.24 0.026 2.1 9e+03 0.095 0.31 -3.6 -
8 -0.1 0.28 -0.24 -0.25 -0.25 0.12 0.24 0.12 0.041 -0.28 0.033 -0.24 0.026 2.1 9e+03 0.095 0.16 -1.1 -
9 -0.1 0.28 -0.24 -0.25 -0.25 0.12 0.24 0.12 0.041 -0.28 0.033 -0.24 0.026 2.1 9e+03 0.095 0.078 -1.5 -
10 -0.1 0.28 -0.24 -0.25 -0.25 0.12 0.24 0.12 0.041 -0.28 0.033 -0.24 0.026 2.1 9e+03 0.095 0.039 0.011 -
11 -0.064 0.32 -0.2 -0.29 -0.29 0.086 0.28 0.086 0.0014 -0.32 -0.0065 -0.28 -0.013 2.1 8.9e+03 0.076 0.039 0.58 +
12 -0.1 0.36 -0.24 -0.33 -0.33 0.047 0.28 0.047 0.041 -0.35 -0.046 -0.24 -0.053 2.1 8.8e+03 0.057 0.39 0.9 ++
13 -0.1 0.36 -0.24 -0.33 -0.33 0.047 0.28 0.047 0.041 -0.35 -0.046 -0.24 -0.053 2.1 8.8e+03 0.057 0.2 -0.13 -
14 -0.16 0.49 -0.43 -0.28 -0.39 -0.15 0.28 -0.15 -0.15 -0.55 -0.24 -0.31 -0.25 2.3 8.6e+03 0.095 0.2 0.56 +
15 -0.21 0.5 -0.55 -0.28 -0.42 -0.32 0.27 -0.34 -0.1 -0.57 -0.25 -0.3 -0.23 2.3 8.5e+03 0.13 0.2 0.29 +
16 -0.29 0.5 -0.71 -0.3 -0.47 -0.37 0.27 -0.32 -0.14 -0.56 -0.44 -0.27 -0.34 2.3 8.4e+03 0.056 0.2 0.71 +
17 -0.24 0.53 -0.67 -0.31 -0.44 -0.57 0.26 -0.45 -0.15 -0.57 -0.52 -0.23 -0.37 2.3 8.3e+03 0.093 0.2 0.32 +
18 -0.3 0.58 -0.85 -0.29 -0.52 -0.76 0.29 -0.39 -0.19 -0.55 -0.62 -0.19 -0.43 2.3 8.2e+03 0.022 0.2 0.74 +
19 -0.3 0.62 -0.93 -0.25 -0.5 -0.96 0.38 -0.45 -0.26 -0.52 -0.7 -0.17 -0.48 2.3 8.2e+03 0.045 0.2 0.62 +
20 -0.37 0.66 -1.1 -0.19 -0.52 -1.2 0.54 -0.47 -0.34 -0.47 -0.76 -0.12 -0.52 2.2 8.2e+03 0.024 0.2 0.59 +
21 -0.39 0.83 -1.1 -0.1 -0.62 -1.3 0.74 -0.49 -0.39 -0.43 -0.79 0.067 -0.54 2 8.1e+03 0.0064 0.2 0.74 +
22 -0.39 0.83 -1.1 -0.1 -0.62 -1.3 0.74 -0.49 -0.39 -0.43 -0.79 0.067 -0.54 2 8.1e+03 0.0064 0.098 -0.052 -
23 -0.45 0.81 -1.2 -0.072 -0.59 -1.3 0.82 -0.59 -0.4 -0.41 -0.85 0.099 -0.57 1.9 8.1e+03 0.012 0.098 0.51 +
24 -0.45 0.81 -1.2 -0.072 -0.59 -1.3 0.82 -0.59 -0.4 -0.41 -0.85 0.099 -0.57 1.9 8.1e+03 0.012 0.049 -2.2 -
25 -0.45 0.81 -1.2 -0.072 -0.59 -1.3 0.82 -0.59 -0.4 -0.41 -0.85 0.099 -0.57 1.9 8.1e+03 0.012 0.024 -0.98 -
26 -0.45 0.81 -1.2 -0.072 -0.59 -1.3 0.82 -0.59 -0.4 -0.41 -0.85 0.099 -0.57 1.9 8.1e+03 0.012 0.012 -0.042 -
27 -0.44 0.82 -1.2 -0.06 -0.6 -1.3 0.83 -0.6 -0.39 -0.41 -0.84 0.11 -0.56 1.9 8.1e+03 0.012 0.012 0.38 +
28 -0.44 0.82 -1.2 -0.057 -0.6 -1.3 0.84 -0.58 -0.4 -0.41 -0.85 0.11 -0.57 1.9 8.1e+03 0.005 0.12 0.9 ++
29 -0.44 0.82 -1.2 -0.057 -0.6 -1.3 0.84 -0.58 -0.4 -0.41 -0.85 0.11 -0.57 1.9 8.1e+03 0.005 0.061 -1.6 -
30 -0.44 0.82 -1.2 -0.057 -0.6 -1.3 0.84 -0.58 -0.4 -0.41 -0.85 0.11 -0.57 1.9 8.1e+03 0.005 0.031 -0.35 -
31 -0.45 0.85 -1.2 -0.039 -0.63 -1.3 0.86 -0.55 -0.39 -0.41 -0.84 0.13 -0.56 1.9 8.1e+03 0.018 0.031 0.19 +
32 -0.44 0.87 -1.2 -0.017 -0.63 -1.3 0.88 -0.55 -0.4 -0.41 -0.84 0.14 -0.56 1.9 8.1e+03 0.011 0.031 0.7 +
33 -0.46 0.87 -1.2 -0.0045 -0.64 -1.3 0.91 -0.55 -0.4 -0.41 -0.86 0.16 -0.57 1.9 8.1e+03 0.0062 0.31 0.93 ++
34 -0.46 0.87 -1.2 -0.0045 -0.64 -1.3 0.91 -0.55 -0.4 -0.41 -0.86 0.16 -0.57 1.9 8.1e+03 0.0062 0.15 -0.5 -
35 -0.52 0.89 -1.2 0.065 -0.61 -1.4 1.1 -0.66 -0.42 -0.4 -0.9 0.26 -0.59 1.8 8.1e+03 0.02 0.15 0.18 +
36 -0.52 1 -1.2 0.18 -0.71 -1.5 1.2 -0.55 -0.44 -0.4 -0.91 0.38 -0.58 1.7 8.1e+03 0.011 0.15 0.62 +
37 -0.6 0.99 -1.3 0.25 -0.7 -1.5 1.4 -0.64 -0.49 -0.4 -0.98 0.5 -0.61 1.7 8.1e+03 0.02 0.15 0.39 +
38 -0.62 1 -1.3 0.38 -0.69 -1.6 1.5 -0.61 -0.49 -0.4 -1 0.61 -0.61 1.6 8.1e+03 0.0057 0.15 0.64 +
39 -0.62 1 -1.3 0.38 -0.69 -1.6 1.5 -0.61 -0.49 -0.4 -1 0.61 -0.61 1.6 8.1e+03 0.0057 0.076 -2.3 -
40 -0.62 1 -1.3 0.38 -0.69 -1.6 1.5 -0.61 -0.49 -0.4 -1 0.61 -0.61 1.6 8.1e+03 0.0057 0.038 -0.33 -
41 -0.61 1 -1.3 0.37 -0.7 -1.6 1.5 -0.64 -0.5 -0.41 -1 0.62 -0.61 1.7 8.1e+03 0.0018 0.038 0.66 +
42 -0.61 1 -1.3 0.37 -0.7 -1.6 1.5 -0.64 -0.5 -0.41 -1 0.62 -0.61 1.7 8.1e+03 0.0018 0.019 -0.29 -
43 -0.61 1 -1.3 0.37 -0.7 -1.6 1.6 -0.62 -0.5 -0.41 -1 0.63 -0.62 1.7 8.1e+03 0.0017 0.019 0.37 +
44 -0.61 1 -1.3 0.38 -0.71 -1.6 1.6 -0.64 -0.51 -0.41 -1 0.64 -0.62 1.7 8.1e+03 0.00089 0.019 0.68 +
45 -0.61 1 -1.3 0.38 -0.71 -1.6 1.6 -0.64 -0.51 -0.41 -1 0.64 -0.62 1.7 8.1e+03 0.00089 0.0095 -1.2 -
46 -0.61 1 -1.3 0.38 -0.71 -1.6 1.6 -0.64 -0.51 -0.41 -1 0.64 -0.62 1.7 8.1e+03 0.00089 0.0048 0.1 -
47 -0.61 1 -1.3 0.38 -0.7 -1.6 1.6 -0.63 -0.51 -0.41 -1 0.64 -0.62 1.7 8.1e+03 0.0014 0.0048 0.48 +
48 -0.61 1 -1.3 0.39 -0.7 -1.6 1.6 -0.63 -0.51 -0.4 -1 0.64 -0.62 1.7 8.1e+03 0.00034 0.048 0.96 ++
49 -0.61 1 -1.3 0.39 -0.7 -1.6 1.6 -0.63 -0.51 -0.4 -1 0.64 -0.62 1.7 8.1e+03 0.00034 0.024 -1.9 -
50 -0.61 1 -1.3 0.39 -0.7 -1.6 1.6 -0.63 -0.51 -0.4 -1 0.64 -0.62 1.7 8.1e+03 0.00034 0.012 -0.32 -
51 -0.61 1 -1.3 0.4 -0.7 -1.6 1.6 -0.63 -0.51 -0.4 -1 0.65 -0.62 1.7 8.1e+03 0.0013 0.012 0.23 +
52 -0.61 1 -1.3 0.4 -0.7 -1.6 1.6 -0.64 -0.51 -0.4 -1 0.66 -0.62 1.7 8.1e+03 0.00075 0.012 0.46 +
53 -0.61 1 -1.3 0.41 -0.7 -1.6 1.6 -0.63 -0.51 -0.4 -1 0.67 -0.62 1.7 8.1e+03 0.0012 0.012 0.12 +
54 -0.62 1 -1.3 0.42 -0.71 -1.6 1.6 -0.63 -0.51 -0.4 -1 0.67 -0.62 1.7 8.1e+03 0.00071 0.012 0.13 +
55 -0.61 1 -1.3 0.41 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00055 0.012 0.45 +
56 -0.61 1 -1.3 0.41 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00055 0.006 -0.63 -
57 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00098 0.006 0.15 +
58 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.51 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00025 0.006 0.31 +
59 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00019 0.006 0.37 +
60 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00019 0.003 -7.7 -
61 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00019 0.0015 -2.8 -
62 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00019 0.00075 -0.18 -
63 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00019 0.00037 -0.18 -
64 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.0002 0.00037 0.52 +
65 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00011 0.00037 0.86 +
66 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.63 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 0.00012 0.00037 0.73 +
67 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 9.9e-05 0.00037 0.75 +
68 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 7e-05 0.0037 0.98 ++
69 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 7e-05 0.0019 -13 -
70 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 7e-05 0.00093 -4.3 -
71 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 7e-05 0.00047 -0.2 -
72 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 1.2e-05 0.00047 0.89 +
73 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 1.2e-05 0.00023 -2 -
74 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 1.2e-05 0.00012 -0.22 -
75 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 2.3e-05 0.00012 0.45 +
76 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 2.9e-05 0.00012 0.42 +
77 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 1e-05 0.00012 0.77 +
78 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 8e-06 0.00012 0.73 +
79 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 1e-05 0.00012 0.78 +
80 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 7.1e-06 0.00012 0.83 +
81 -0.62 1 -1.3 0.42 -0.7 -1.6 1.6 -0.64 -0.52 -0.39 -1 0.68 -0.62 1.7 8.1e+03 3.4e-06 0.00012 0.86 +
Optimization algorithm has converged.
Relative gradient: 3.3683516394023955e-06
Cause of termination: Relative gradient = 3.4e-06 <= 6.1e-06
Number of function evaluations: 181
Number of gradient evaluations: 99
Number of hessian evaluations: 0
Algorithm: BFGS with trust region for simple bound constraints
Number of iterations: 82
Proportion of Hessian calculation: 0/49 = 0.0%
Optimization time: 0:00:00.299422
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000009.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000009.iter
Cannot read file __b09post_processing_000009.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is rather complex, we cancel the calculation of second derivatives. If you want to control the parameters, change the algorithm from "automatic" to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: BFGS with trust region for simple bounds
Iter. asc_train_ref asc_train_diff_ asc_train_diff_ asc_train_diff_ b_time_train square_tt_coef cube_tt_coef b_cost b_time_swissmet asc_car_ref asc_car_diff_GA asc_car_diff_on asc_car_diff_se b_time_car mu_existing Function Relgrad Radius Rho
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.7 1.1e+04 0.53 0.5 -0.97 -
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.7 1.1e+04 0.53 0.25 -0.48 -
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.7 1.1e+04 0.53 0.12 0.021 -
3 -0.12 0.12 -0.12 -0.12 -0.12 0 0 -0.12 0.12 0.12 -0.12 0.12 -0.12 0.12 1.8 9.7e+03 3.4 0.12 0.45 +
4 -0.12 0.12 -0.12 -0.12 -0.12 0 0 -0.12 0.12 0.12 -0.12 0.12 -0.12 0.12 1.8 9.7e+03 3.4 0.062 -3.4 -
5 -0.12 0.12 -0.12 -0.12 -0.12 0 0 -0.12 0.12 0.12 -0.12 0.12 -0.12 0.12 1.8 9.7e+03 3.4 0.031 -2.7 -
6 -0.12 0.12 -0.12 -0.12 -0.12 0 0 -0.12 0.12 0.12 -0.12 0.12 -0.12 0.12 1.8 9.7e+03 3.4 0.016 -1.2 -
7 -0.12 0.12 -0.12 -0.12 -0.12 0 0 -0.12 0.12 0.12 -0.12 0.12 -0.12 0.12 1.8 9.7e+03 3.4 0.0078 -0.81 -
8 -0.12 0.12 -0.12 -0.12 -0.12 0 0 -0.12 0.12 0.12 -0.12 0.12 -0.12 0.12 1.8 9.7e+03 3.4 0.0039 -0.57 -
9 -0.12 0.12 -0.12 -0.12 -0.12 0 0 -0.12 0.12 0.12 -0.12 0.12 -0.12 0.12 1.8 9.7e+03 3.4 0.002 -0.29 -
10 -0.12 0.12 -0.12 -0.12 -0.12 0 0 -0.12 0.12 0.12 -0.12 0.12 -0.12 0.12 1.8 9.7e+03 3.4 0.00098 0.0092 -
11 -0.13 0.13 -0.12 -0.13 -0.13 -0.00098 -0.00098 -0.13 0.13 0.12 -0.13 0.12 -0.13 0.12 1.8 9.7e+03 1.4 0.00098 0.3 +
12 -0.13 0.13 -0.12 -0.13 -0.13 -0.0011 -0.00068 -0.13 0.13 0.12 -0.13 0.12 -0.13 0.12 1.8 9.6e+03 0.87 0.0098 1.2 ++
13 -0.13 0.13 -0.12 -0.13 -0.13 -0.0022 -0.00017 -0.13 0.13 0.12 -0.13 0.12 -0.13 0.11 1.8 9.6e+03 2.3 0.0098 0.9 +
14 -0.13 0.13 -0.12 -0.13 -0.14 -0.003 -0.00063 -0.13 0.14 0.11 -0.13 0.11 -0.13 0.1 1.8 9.6e+03 0.69 0.098 0.9 ++
15 -0.15 0.14 -0.12 -0.13 -0.19 -0.0067 0.00021 -0.15 0.18 0.06 -0.15 0.068 -0.13 0.0059 1.8 9.2e+03 0.11 0.098 0.77 +
16 -0.15 0.14 -0.12 -0.13 -0.19 -0.0067 0.00021 -0.15 0.18 0.06 -0.15 0.068 -0.13 0.0059 1.8 9.2e+03 0.11 0.049 0.049 -
17 -0.17 0.15 -0.11 -0.13 -0.23 0.01 -0.0036 -0.17 0.2 0.045 -0.16 0.047 -0.13 -0.03 1.8 9.2e+03 5.1 0.049 0.23 +
18 -0.19 0.17 -0.11 -0.13 -0.28 0.034 0.0018 -0.19 0.21 0.039 -0.17 0.033 -0.13 -0.049 1.9 9e+03 1.2 0.049 0.68 +
19 -0.21 0.2 -0.089 -0.13 -0.33 0.06 0.0007 -0.24 0.19 0.01 -0.19 -0.0071 -0.13 -0.074 1.9 8.9e+03 1.5 0.49 1 ++
20 -0.21 0.2 -0.089 -0.13 -0.33 0.06 0.0007 -0.24 0.19 0.01 -0.19 -0.0071 -0.13 -0.074 1.9 8.9e+03 1.5 0.24 1 -
21 -0.21 0.2 -0.089 -0.13 -0.33 0.06 0.0007 -0.24 0.19 0.01 -0.19 -0.0071 -0.13 -0.074 1.9 8.9e+03 1.5 0.12 -5 -
22 -0.21 0.2 -0.089 -0.13 -0.33 0.06 0.0007 -0.24 0.19 0.01 -0.19 -0.0071 -0.13 -0.074 1.9 8.9e+03 1.5 0.061 -2.6 -
23 -0.21 0.2 -0.089 -0.13 -0.33 0.06 0.0007 -0.24 0.19 0.01 -0.19 -0.0071 -0.13 -0.074 1.9 8.9e+03 1.5 0.031 -1.5 -
24 -0.21 0.2 -0.089 -0.13 -0.33 0.06 0.0007 -0.24 0.19 0.01 -0.19 -0.0071 -0.13 -0.074 1.9 8.9e+03 1.5 0.015 -0.97 -
25 -0.21 0.2 -0.089 -0.13 -0.33 0.06 0.0007 -0.24 0.19 0.01 -0.19 -0.0071 -0.13 -0.074 1.9 8.9e+03 1.5 0.0076 -0.78 -
26 -0.21 0.2 -0.089 -0.13 -0.33 0.06 0.0007 -0.24 0.19 0.01 -0.19 -0.0071 -0.13 -0.074 1.9 8.9e+03 1.5 0.0038 -0.77 -
27 -0.21 0.2 -0.089 -0.13 -0.33 0.06 0.0007 -0.24 0.19 0.01 -0.19 -0.0071 -0.13 -0.074 1.9 8.9e+03 1.5 0.0019 -0.84 -
28 -0.21 0.2 -0.088 -0.12 -0.33 0.059 -0.0012 -0.25 0.19 0.0081 -0.19 -0.009 -0.13 -0.076 1.9 8.9e+03 1.7 0.0019 0.41 +
29 -0.21 0.2 -0.086 -0.12 -0.33 0.059 -0.00019 -0.25 0.19 0.0073 -0.2 -0.01 -0.13 -0.078 1.9 8.9e+03 0.92 0.0019 0.9 +
30 -0.21 0.2 -0.085 -0.12 -0.33 0.06 -0.00054 -0.25 0.18 0.0066 -0.2 -0.011 -0.13 -0.08 1.9 8.9e+03 0.48 0.0019 0.87 +
31 -0.21 0.2 -0.085 -0.12 -0.33 0.06 -0.00042 -0.25 0.18 0.006 -0.2 -0.012 -0.13 -0.082 1.9 8.9e+03 0.051 0.019 1 ++
32 -0.21 0.21 -0.076 -0.12 -0.34 0.064 -0.0006 -0.27 0.17 9.6e-05 -0.2 -0.022 -0.13 -0.1 1.9 8.9e+03 0.89 0.19 0.95 ++
33 -0.24 0.34 0.023 -0.12 -0.49 0.12 0.00022 -0.44 -0.012 -0.041 -0.29 -0.12 -0.14 -0.29 2 8.6e+03 4.8 0.19 0.71 +
34 -0.24 0.34 0.023 -0.12 -0.49 0.12 0.00022 -0.44 -0.012 -0.041 -0.29 -0.12 -0.14 -0.29 2 8.6e+03 4.8 0.095 -0.42 -
35 -0.27 0.35 0.021 -0.12 -0.55 0.14 -0.0013 -0.46 -0.083 0.0025 -0.3 -0.096 -0.14 -0.2 2 8.6e+03 4 0.095 0.22 +
36 -0.24 0.39 0.066 -0.11 -0.5 0.12 -0.00042 -0.49 -0.18 -0.03 -0.32 -0.12 -0.15 -0.27 2 8.5e+03 4.7 0.095 0.69 +
37 -0.28 0.41 0.06 -0.11 -0.58 0.22 -0.001 -0.49 -0.2 -0.039 -0.33 -0.13 -0.15 -0.29 2 8.4e+03 4.1 0.095 0.57 +
38 -0.28 0.45 0.096 -0.1 -0.54 0.25 -0.0019 -0.51 -0.3 -0.065 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.9 0.095 0.4 +
39 -0.28 0.45 0.096 -0.1 -0.54 0.25 -0.0019 -0.51 -0.3 -0.065 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.9 0.048 0.096 -
40 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.48 0.98 ++
41 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.24 -9 -
42 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.12 -4.9 -
43 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.06 -3.2 -
44 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.03 -2.4 -
45 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.015 -2.1 -
46 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.0075 -2.3 -
47 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.0037 -2.4 -
48 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.0019 -2.6 -
49 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.00093 -2.6 -
50 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.00047 -1.5 -
51 -0.3 0.46 0.093 -0.1 -0.57 0.26 -0.0015 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.4e+03 4.1 0.00023 -0.68 -
52 -0.3 0.47 0.094 -0.1 -0.57 0.26 -0.0012 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.3e+03 4.9 0.00023 0.39 +
53 -0.3 0.47 0.094 -0.1 -0.57 0.26 -0.0014 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.3e+03 2.7 0.00023 0.24 +
54 -0.3 0.47 0.094 -0.1 -0.57 0.26 -0.0013 -0.52 -0.35 -0.057 -0.35 -0.14 -0.16 -0.33 2 8.3e+03 0.99 0.0023 1.3 ++
55 -0.3 0.47 0.094 -0.1 -0.57 0.26 -0.0013 -0.52 -0.35 -0.058 -0.35 -0.14 -0.16 -0.33 2 8.3e+03 0.71 0.023 0.95 ++
56 -0.3 0.47 0.098 -0.1 -0.56 0.26 -0.0013 -0.52 -0.36 -0.067 -0.36 -0.14 -0.16 -0.35 2 8.3e+03 0.96 0.023 0.84 +
57 -0.31 0.48 0.096 -0.098 -0.57 0.26 -0.0013 -0.52 -0.38 -0.064 -0.36 -0.13 -0.17 -0.35 2.1 8.3e+03 0.28 0.23 0.9 ++
58 -0.44 0.59 0.11 -0.075 -0.61 0.25 -0.0013 -0.54 -0.61 -0.11 -0.41 -0.13 -0.19 -0.49 2.1 8.3e+03 4.1 0.23 0.45 +
59 -0.62 0.69 0.11 -0.049 -0.76 0.019 -0.00034 -0.52 -0.72 -0.21 -0.46 -0.14 -0.23 -0.53 2.2 8.2e+03 3.4 0.23 0.54 +
60 -0.62 0.69 0.11 -0.049 -0.76 0.019 -0.00034 -0.52 -0.72 -0.21 -0.46 -0.14 -0.23 -0.53 2.2 8.2e+03 3.4 0.12 -4.8 -
61 -0.62 0.69 0.11 -0.049 -0.76 0.019 -0.00034 -0.52 -0.72 -0.21 -0.46 -0.14 -0.23 -0.53 2.2 8.2e+03 3.4 0.058 -1.9 -
62 -0.62 0.69 0.11 -0.049 -0.76 0.019 -0.00034 -0.52 -0.72 -0.21 -0.46 -0.14 -0.23 -0.53 2.2 8.2e+03 3.4 0.029 0.091 -
63 -0.61 0.69 0.11 -0.048 -0.76 0.048 -0.00041 -0.52 -0.72 -0.23 -0.45 -0.14 -0.23 -0.56 2.2 8.2e+03 6.2 0.029 0.65 +
64 -0.61 0.7 0.12 -0.045 -0.79 0.073 -0.0006 -0.51 -0.74 -0.23 -0.45 -0.13 -0.23 -0.57 2.2 8.2e+03 6.5 0.029 0.15 +
65 -0.61 0.7 0.13 -0.043 -0.78 0.052 -0.00047 -0.52 -0.77 -0.23 -0.45 -0.13 -0.23 -0.56 2.2 8.2e+03 2.9 0.029 0.83 +
66 -0.62 0.7 0.13 -0.04 -0.81 0.062 -0.00045 -0.51 -0.79 -0.24 -0.44 -0.12 -0.24 -0.58 2.2 8.2e+03 10 0.029 0.37 +
67 -0.62 0.7 0.13 -0.04 -0.81 0.062 -0.00045 -0.51 -0.79 -0.24 -0.44 -0.12 -0.24 -0.58 2.2 8.2e+03 10 0.015 -0.02 -
68 -0.61 0.7 0.14 -0.039 -0.8 0.055 -0.00048 -0.51 -0.8 -0.25 -0.44 -0.12 -0.24 -0.6 2.2 8.2e+03 3.7 0.015 0.52 +
69 -0.61 0.7 0.14 -0.038 -0.82 0.051 -0.00046 -0.51 -0.81 -0.25 -0.44 -0.12 -0.24 -0.59 2.2 8.2e+03 2.5 0.015 0.76 +
70 -0.61 0.71 0.15 -0.037 -0.82 0.043 -0.00041 -0.51 -0.82 -0.26 -0.44 -0.12 -0.24 -0.6 2.2 8.2e+03 0.62 0.15 0.94 ++
71 -0.64 0.72 0.18 -0.017 -0.97 0.013 -0.00027 -0.51 -0.96 -0.31 -0.41 -0.08 -0.26 -0.7 2.1 8.2e+03 10 0.15 0.82 +
72 -0.64 0.72 0.18 -0.017 -0.97 0.013 -0.00027 -0.51 -0.96 -0.31 -0.41 -0.08 -0.26 -0.7 2.1 8.2e+03 10 0.073 -0.6 -
73 -0.65 0.72 0.2 -0.0087 -1 -0.04 -7.8e-05 -0.51 -1 -0.32 -0.4 -0.059 -0.27 -0.71 2.1 8.2e+03 1.5 0.073 0.41 +
74 -0.65 0.72 0.2 -0.0087 -1 -0.04 -7.8e-05 -0.51 -1 -0.32 -0.4 -0.059 -0.27 -0.71 2.1 8.2e+03 1.5 0.036 -0.19 -
75 -0.64 0.73 0.21 -0.0072 -1 -0.018 -0.00017 -0.51 -1 -0.34 -0.4 -0.07 -0.27 -0.75 2.1 8.2e+03 1.9 0.036 0.76 +
76 -0.65 0.73 0.21 -0.0032 -1.1 -0.015 -0.00018 -0.52 -1.1 -0.34 -0.39 -0.063 -0.28 -0.76 2.1 8.2e+03 2.8 0.036 0.75 +
77 -0.65 0.73 0.22 0.001 -1.1 -0.044 -4.4e-05 -0.52 -1.1 -0.34 -0.38 -0.06 -0.28 -0.77 2.1 8.2e+03 7.8 0.036 0.6 +
78 -0.65 0.74 0.23 0.0051 -1.1 -0.035 -0.0001 -0.52 -1.1 -0.36 -0.38 -0.065 -0.28 -0.81 2.1 8.2e+03 3.4 0.36 0.93 ++
79 -0.65 0.74 0.23 0.0051 -1.1 -0.035 -0.0001 -0.52 -1.1 -0.36 -0.38 -0.065 -0.28 -0.81 2.1 8.2e+03 3.4 0.18 -1.2 -
80 -0.67 0.75 0.24 0.027 -1.3 -0.096 0.00015 -0.52 -1.3 -0.39 -0.35 -0.042 -0.3 -0.91 2.1 8.1e+03 16 0.18 0.41 +
81 -0.63 0.77 0.3 0.045 -1.3 -0.048 -4.2e-05 -0.55 -1.5 -0.39 -0.33 -0.026 -0.31 -0.96 2.1 8.1e+03 0.13 0.18 0.27 +
82 -0.63 0.77 0.3 0.045 -1.3 -0.048 -4.2e-05 -0.55 -1.5 -0.39 -0.33 -0.026 -0.31 -0.96 2.1 8.1e+03 0.13 0.091 -2.8 -
83 -0.63 0.77 0.3 0.045 -1.3 -0.048 -4.2e-05 -0.55 -1.5 -0.39 -0.33 -0.026 -0.31 -0.96 2.1 8.1e+03 0.13 0.045 -0.4 -
84 -0.64 0.77 0.28 0.046 -1.4 -0.072 7.7e-05 -0.54 -1.4 -0.42 -0.32 -0.042 -0.32 -1 2.1 8.1e+03 16 0.045 0.61 +
85 -0.66 0.76 0.27 0.048 -1.4 -0.092 0.00013 -0.53 -1.4 -0.42 -0.32 -0.035 -0.32 -1 2.1 8.1e+03 11 0.045 0.4 +
86 -0.66 0.76 0.27 0.048 -1.4 -0.092 0.00013 -0.53 -1.4 -0.42 -0.32 -0.035 -0.32 -1 2.1 8.1e+03 11 0.023 -0.85 -
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192 -0.51 0.91 0.32 0.16 -2.2 -0.11 0.00021 -0.61 -2.2 -0.44 -0.31 -0.069 -0.36 -1.5 1.8 8.1e+03 1.1e-05 8.3e-06 -0.62 -
193 -0.51 0.91 0.32 0.16 -2.2 -0.11 0.00021 -0.61 -2.2 -0.44 -0.31 -0.069 -0.36 -1.5 1.8 8.1e+03 0.00013 8.3e-06 0.86 +
194 -0.51 0.91 0.32 0.16 -2.2 -0.11 0.00021 -0.61 -2.2 -0.44 -0.31 -0.069 -0.36 -1.5 1.8 8.1e+03 0.00013 8.3e-06 0.49 +
195 -0.51 0.91 0.32 0.16 -2.2 -0.11 0.00021 -0.61 -2.2 -0.44 -0.31 -0.069 -0.36 -1.5 1.8 8.1e+03 7.4e-05 8.3e-06 0.74 +
196 -0.51 0.91 0.32 0.16 -2.2 -0.11 0.00021 -0.61 -2.2 -0.44 -0.31 -0.069 -0.36 -1.5 1.8 8.1e+03 7.4e-05 4.1e-06 -0.21 -
197 -0.51 0.91 0.32 0.16 -2.2 -0.11 0.00021 -0.61 -2.2 -0.44 -0.31 -0.069 -0.36 -1.5 1.8 8.1e+03 0.00015 4.1e-06 0.54 +
198 -0.51 0.91 0.32 0.16 -2.2 -0.11 0.00021 -0.61 -2.2 -0.44 -0.31 -0.069 -0.36 -1.5 1.8 8.1e+03 3.8e-06 4.1e-06 0.56 +
Optimization algorithm has converged.
Relative gradient: 3.846848964968624e-06
Cause of termination: Relative gradient = 3.8e-06 <= 6.1e-06
Number of function evaluations: 436
Number of gradient evaluations: 237
Number of hessian evaluations: 0
Algorithm: BFGS with trust region for simple bound constraints
Number of iterations: 199
Proportion of Hessian calculation: 0/118 = 0.0%
Optimization time: 0:00:00.516016
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000010.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000010.iter
Cannot read file __b09post_processing_000010.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is rather complex, we cancel the calculation of second derivatives. If you want to control the parameters, change the algorithm from "automatic" to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: BFGS with trust region for simple bounds
Iter. Function Relgrad Radius Rho
0 1.1e+04 0.56 0.5 -0.64 -
1 1.1e+04 0.56 0.25 -0.32 -
2 1.1e+04 0.56 0.12 0.04 -
3 9.4e+03 0.44 0.12 0.41 +
4 9.4e+03 0.44 0.062 0.41 -
5 9.4e+03 0.44 0.031 0.41 -
6 9.4e+03 0.44 0.016 -4.5 -
7 9.4e+03 0.44 0.0078 -2.8 -
8 9.4e+03 0.44 0.0039 -1.6 -
9 9.4e+03 0.44 0.002 -0.43 -
10 9.4e+03 1.3 0.002 0.52 +
11 9.4e+03 0.31 0.002 0.67 +
12 9.4e+03 0.19 0.02 1.1 ++
13 9.4e+03 2.5 0.02 0.79 +
14 9.3e+03 1.2 0.02 0.68 +
15 9.2e+03 0.1 0.2 0.99 ++
16 9.2e+03 0.1 0.098 -0.72 -
17 9.2e+03 0.1 0.049 -0.17 -
18 9.2e+03 0.1 0.024 -0.02 -
19 9.2e+03 0.1 0.012 -0.34 -
20 9.2e+03 1.8 0.012 0.3 +
21 9.2e+03 3.5 0.012 0.59 +
22 9.1e+03 2.1 0.012 0.56 +
23 9.1e+03 1.4 0.12 1.2 ++
24 9.1e+03 1.4 0.061 -1.8 -
25 9.1e+03 1.4 0.031 -1.4 -
26 9.1e+03 1.4 0.015 -1.5 -
27 9.1e+03 1.4 0.0076 -2 -
28 9.1e+03 1.4 0.0038 -2.7 -
29 9.1e+03 1.4 0.0019 -3.4 -
30 9.1e+03 1.4 0.00095 -2.7 -
31 9.1e+03 1.4 0.00048 -1.1 -
32 9.1e+03 1.4 0.00024 -0.24 -
33 9.1e+03 0.95 0.00024 0.38 +
34 9.1e+03 0.057 0.0024 1 ++
35 9.1e+03 0.23 0.024 0.99 ++
36 9e+03 2.4 0.024 0.87 +
37 9e+03 4.2 0.024 0.69 +
38 8.9e+03 1.7 0.24 1 ++
39 8.6e+03 1.2 0.24 0.88 +
40 8.6e+03 1.2 0.12 -0.79 -
41 8.5e+03 9.5 0.12 0.17 +
42 8.4e+03 3.4 0.12 0.77 +
43 8.4e+03 3.4 0.06 0.079 -
44 8.4e+03 3.4 0.03 0.035 -
45 8.3e+03 3.8 0.03 0.89 +
46 8.3e+03 3.8 0.015 -2.4 -
47 8.3e+03 3.8 0.0075 -3.3 -
48 8.3e+03 3.8 0.0037 -4.1 -
49 8.3e+03 3.8 0.0019 -4.6 -
50 8.3e+03 3.8 0.00093 -4.9 -
51 8.3e+03 3.8 0.00047 -5.1 -
52 8.3e+03 3.8 0.00023 -3.6 -
53 8.3e+03 3.8 0.00012 -2.6 -
54 8.3e+03 3.8 5.8e-05 -1.7 -
55 8.3e+03 3.8 2.9e-05 -0.56 -
56 8.3e+03 2.1 2.9e-05 0.33 +
57 8.3e+03 0.42 2.9e-05 0.8 +
58 8.3e+03 0.027 0.00029 1 ++
59 8.3e+03 0.056 0.0029 1 ++
60 8.3e+03 0.37 0.029 0.99 ++
61 8.3e+03 0.12 0.29 1 ++
62 8.3e+03 0.12 0.15 -3.6 -
63 8.3e+03 0.12 0.073 -0.65 -
64 8.3e+03 6.2 0.073 0.33 +
65 8.3e+03 3.5 0.073 0.44 +
66 8.3e+03 3.5 0.036 -0.34 -
67 8.2e+03 0.39 0.036 0.88 +
68 8.2e+03 0.39 0.018 -1.3 -
69 8.2e+03 0.39 0.0091 0.03 -
70 8.2e+03 1.5 0.0091 0.54 +
71 8.2e+03 0.042 0.091 0.94 ++
72 8.2e+03 0.34 0.091 0.87 +
73 8.2e+03 0.58 0.091 0.32 +
74 8.2e+03 4.5 0.091 0.84 +
75 8.2e+03 4.5 0.045 -0.3 -
76 8.2e+03 3.2 0.045 0.22 +
77 8.2e+03 2.1 0.45 1 ++
78 8.2e+03 2.1 0.23 -1.7 -
79 8.2e+03 2.1 0.11 -0.68 -
80 8.2e+03 2.1 0.057 -0.23 -
81 8.2e+03 2.1 0.028 0.086 -
82 8.2e+03 1.8 0.028 0.14 +
83 8.1e+03 1.5 0.28 1 ++
84 8.1e+03 2.2 2.8 1 ++
85 8.1e+03 2.2 0.98 -79 -
86 8.1e+03 2.2 0.49 -29 -
87 8.1e+03 2.2 0.24 -8.7 -
88 8.1e+03 2.2 0.12 -2.1 -
89 8.1e+03 2.2 0.061 -0.61 -
90 8.1e+03 0.93 0.061 0.34 +
91 8.1e+03 3.7 0.061 0.81 +
92 8.1e+03 2.5 0.61 0.94 ++
93 8.1e+03 2.5 0.31 -3.8 -
94 8.1e+03 2.5 0.15 -0.66 -
95 8.1e+03 2.5 0.076 0.067 -
96 8.1e+03 1.8 0.076 0.3 +
97 8.1e+03 2 0.076 0.72 +
98 8.1e+03 2 0.038 0.017 -
99 8.1e+03 2.1 0.038 0.54 +
100 8.1e+03 2.2 0.038 0.8 +
101 8.1e+03 1.3 0.038 0.67 +
102 8.1e+03 1 0.38 0.92 ++
103 8.1e+03 1 0.19 -6.4 -
104 8.1e+03 1 0.095 -1.3 -
105 8.1e+03 1 0.048 0.0059 -
106 8.1e+03 2.1 0.048 0.51 +
107 8.1e+03 3.1 0.48 1 ++
108 8.1e+03 3.1 0.24 -4.1 -
109 8.1e+03 3.1 0.12 -0.5 -
110 8.1e+03 1.8 0.12 0.45 +
111 8.1e+03 1.8 0.06 -1.5 -
112 8.1e+03 10 0.06 0.34 +
113 8.1e+03 10 0.03 -1.2 -
114 8.1e+03 10 0.015 -0.13 -
115 8.1e+03 5.3 0.015 0.27 +
116 8.1e+03 2.9 0.15 0.97 ++
117 8.1e+03 2.9 0.075 -3.1 -
118 8.1e+03 2.9 0.037 -0.94 -
119 8.1e+03 2.9 0.019 0.091 -
120 8.1e+03 3 0.019 0.43 +
121 8.1e+03 2.2 0.19 0.91 ++
122 8.1e+03 2.2 0.093 -2.9 -
123 8.1e+03 2.2 0.047 -1 -
124 8.1e+03 2.2 0.023 -0.44 -
125 8.1e+03 4.6 0.023 0.35 +
126 8.1e+03 0.1 0.23 0.97 ++
127 8.1e+03 5.5 0.23 0.8 +
128 8.1e+03 5.5 0.12 -1.6 -
129 8.1e+03 5.5 0.058 -0.97 -
130 8.1e+03 5.5 0.029 -0.81 -
131 8.1e+03 5.5 0.015 -0.82 -
132 8.1e+03 5 0.015 0.21 +
133 8e+03 1.3 0.15 0.98 ++
134 8e+03 1.3 0.073 -1.8 -
135 8e+03 1.3 0.036 -0.6 -
136 8e+03 1.3 0.018 -0.15 -
137 8e+03 0.11 0.018 0.63 +
138 8e+03 3.7 0.018 0.86 +
139 8e+03 2.1 0.018 0.84 +
140 8e+03 4.5 0.018 0.79 +
141 8e+03 2.6 0.018 0.14 +
142 8e+03 2.3 0.018 0.89 +
143 8e+03 2.9 0.18 1 ++
144 8e+03 11 0.18 0.35 +
145 8e+03 11 0.091 -0.99 -
146 8e+03 6.6 0.091 0.3 +
147 8e+03 6.6 0.046 -1.7 -
148 8e+03 6.6 0.023 -0.71 -
149 8e+03 6.6 0.011 -0.073 -
150 8e+03 1.2 0.011 0.67 +
151 8e+03 2.5 0.011 0.81 +
152 8e+03 2 0.011 0.45 +
153 8e+03 0.64 0.011 0.58 +
154 8e+03 0.087 0.11 1.1 ++
155 8e+03 0.087 0.057 -0.73 -
156 8e+03 0.29 0.57 1.1 ++
157 8e+03 0.29 0.28 -28 -
158 8e+03 0.29 0.14 -15 -
159 8e+03 0.29 0.071 -7.3 -
160 8e+03 0.29 0.036 -2.6 -
161 8e+03 0.29 0.018 -0.64 -
162 8e+03 0.0025 0.018 0.39 +
163 8e+03 0.004 0.018 0.57 +
164 8e+03 0.41 0.018 0.53 +
165 8e+03 0.12 0.018 0.41 +
166 8e+03 0.33 0.018 0.64 +
167 8e+03 0.33 0.0089 -0.36 -
168 8e+03 0.33 0.0044 -0.15 -
169 8e+03 0.27 0.0044 0.49 +
170 8e+03 0.092 0.0044 0.78 +
171 8e+03 0.027 0.044 0.92 ++
172 8e+03 0.13 0.44 0.93 ++
173 8e+03 0.13 0.22 -2.7 -
174 8e+03 0.13 0.11 -1 -
175 8e+03 0.13 0.056 -0.63 -
176 8e+03 0.13 0.028 -0.63 -
177 8e+03 0.13 0.014 -0.53 -
178 8e+03 0.13 0.0069 -0.075 -
179 8e+03 0.13 0.0069 0.53 +
180 8e+03 0.39 0.0069 0.88 +
181 8e+03 0.31 0.069 0.91 ++
182 8e+03 1.7 0.069 0.72 +
183 8e+03 1.7 0.035 -0.44 -
184 8e+03 0.27 0.035 0.48 +
185 8e+03 0.27 0.017 -1.6 -
186 8e+03 1.4 0.017 0.45 +
187 8e+03 0.33 0.017 0.9 +
188 8e+03 0.33 0.0087 -1 -
189 8e+03 0.33 0.0043 -0.065 -
190 8e+03 0.33 0.0022 0.068 -
191 8e+03 0.33 0.0011 -0.021 -
192 8e+03 0.13 0.0011 0.56 +
193 8e+03 0.0024 0.011 0.99 ++
194 8e+03 0.1 0.011 0.42 +
195 8e+03 0.13 0.011 0.44 +
196 8e+03 0.27 0.011 0.24 +
197 8e+03 0.089 0.011 0.58 +
198 8e+03 0.0025 0.011 0.34 +
199 8e+03 0.87 0.011 0.58 +
200 8e+03 0.87 0.0054 0.066 -
201 8e+03 0.055 0.0054 0.78 +
202 8e+03 0.22 0.0054 0.56 +
203 8e+03 0.37 0.0054 0.23 +
204 8e+03 0.51 0.0054 0.46 +
205 8e+03 0.51 0.0027 -0.033 -
206 8e+03 0.014 0.0027 0.73 +
207 8e+03 0.15 0.027 0.98 ++
208 8e+03 0.15 0.014 -1.3 -
209 8e+03 0.15 0.0068 -0.44 -
210 8e+03 0.22 0.0068 0.39 +
211 8e+03 0.22 0.0034 -0.18 -
212 8e+03 0.062 0.0034 0.52 +
213 8e+03 0.054 0.0034 0.51 +
214 8e+03 0.051 0.0034 0.42 +
215 8e+03 0.0012 0.0034 0.88 +
216 8e+03 0.0012 0.0017 -1.1 -
217 8e+03 0.024 0.0017 0.13 +
218 8e+03 0.00077 0.0017 0.83 +
219 8e+03 0.00077 0.00085 -0.064 -
220 8e+03 0.03 0.00085 0.42 +
221 8e+03 0.0069 0.00085 0.83 +
222 8e+03 0.011 0.00085 0.85 +
223 8e+03 0.0025 0.0085 0.95 ++
224 8e+03 0.0025 0.0042 -0.35 -
225 8e+03 0.032 0.0042 0.25 +
226 8e+03 0.032 0.0021 -1.8 -
227 8e+03 0.032 0.0011 -0.057 -
228 8e+03 0.0041 0.0011 0.72 +
229 8e+03 0.0041 0.00053 0.047 -
230 8e+03 0.0011 0.00053 0.54 +
231 8e+03 0.0031 0.0053 0.95 ++
232 8e+03 0.0031 0.0026 -2.5 -
233 8e+03 0.0045 0.0026 0.33 +
234 8e+03 0.0045 0.0013 -8.1 -
235 8e+03 0.0045 0.00066 -1.9 -
236 8e+03 0.0045 0.00033 -0.3 -
237 8e+03 0.0052 0.00033 0.5 +
238 8e+03 0.0052 0.00017 -0.31 -
239 8e+03 0.0054 0.00017 0.46 +
240 8e+03 0.0054 8.3e-05 0.092 -
241 8e+03 9.6e-05 8.3e-05 0.87 +
242 8e+03 9.6e-05 4.1e-05 -1 -
243 8e+03 0.0013 4.1e-05 0.28 +
244 8e+03 0.00051 4.1e-05 0.6 +
245 8e+03 0.00051 2.1e-05 -0.34 -
246 8e+03 0.00019 2.1e-05 0.84 +
247 8e+03 0.00017 2.1e-05 0.38 +
248 8e+03 0.00017 1e-05 0.077 -
249 8e+03 0.00022 1e-05 0.78 +
250 8e+03 0.00023 1e-05 0.46 +
251 8e+03 6.7e-05 1e-05 0.45 +
252 8e+03 8.6e-05 1e-05 0.55 +
253 8e+03 4e-05 1e-05 0.44 +
254 8e+03 9.3e-06 0.0001 0.91 ++
255 8e+03 9.3e-06 5.2e-05 -2.8 -
256 8e+03 9.3e-06 2.6e-05 -1.3 -
257 8e+03 9.3e-06 1.3e-05 -0.26 -
258 8e+03 4.2e-05 1.3e-05 0.27 +
259 8e+03 0.0001 1.3e-05 0.58 +
260 8e+03 0.0001 6.5e-06 -0.72 -
261 8e+03 6.3e-05 6.5e-06 0.64 +
262 8e+03 6.3e-05 3.2e-06 -1.4 -
263 8e+03 8.9e-05 3.2e-06 0.32 +
264 8e+03 7.5e-05 3.2e-06 0.3 +
265 8e+03 7.5e-05 1.6e-06 -0.11 -
266 8e+03 2.4e-06 1.6e-06 0.83 -
Optimization algorithm has converged.
Relative gradient: 2.3678914811685093e-06
Cause of termination: Relative gradient = 2.4e-06 <= 6.1e-06
Number of function evaluations: 552
Number of gradient evaluations: 285
Number of hessian evaluations: 0
Algorithm: BFGS with trust region for simple bound constraints
Number of iterations: 267
Proportion of Hessian calculation: 0/142 = 0.0%
Optimization time: 0:00:00.582089
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000011.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000011.iter
Cannot read file __b09post_processing_000011.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is not too complex, we activate the calculation of second derivatives. To change this behavior, modify the algorithm to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: Newton with trust region for simple bounds
Iter. asc_train_ref asc_train_diff_ b_time_ref b_time_diff_com square_tt_coef cube_tt_coef b_cost asc_car_ref asc_car_diff_GA Function Relgrad Radius Rho
0 0 0 0 0 0 0 0 0 0 1.1e+04 0.26 0.5 -0.12 -
1 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 5 1.1 ++
2 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 2.5 -4.7 -
3 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 1.2 -4.3 -
4 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.62 -3.9 -
5 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.31 -3.6 -
6 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.16 -3.5 -
7 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.078 -3.7 -
8 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.039 -4.1 -
9 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.02 -4.3 -
10 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.0098 -3.1 -
11 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.0049 -2.4 -
12 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.0024 -2 -
13 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.0012 -1.5 -
14 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.00061 -0.87 -
15 -0.5 -0.0018 -0.5 -0.5 0 0 -0.41 0.082 -0.24 9.1e+03 9.7 0.00031 -0.074 -
16 -0.5 -0.0015 -0.5 -0.5 0.00031 -0.00031 -0.41 0.081 -0.24 9.1e+03 6.1 0.00031 0.69 +
17 -0.5 -0.0015 -0.5 -0.5 0.00031 -0.00031 -0.41 0.081 -0.24 9.1e+03 6.1 0.00015 -1.3 -
18 -0.5 -0.0015 -0.5 -0.5 0.00031 -0.00031 -0.41 0.081 -0.24 9.1e+03 6.1 7.6e-05 -0.74 -
19 -0.5 -0.0014 -0.5 -0.5 0.00038 -0.00023 -0.41 0.081 -0.24 9.1e+03 5.6 7.6e-05 0.4 +
20 -0.5 -0.0014 -0.5 -0.5 0.00046 -0.00026 -0.41 0.081 -0.24 9.1e+03 1.3 7.6e-05 0.84 +
21 -0.5 -0.0014 -0.5 -0.5 0.00053 -0.00025 -0.41 0.081 -0.24 9.1e+03 0.14 0.00076 0.99 ++
22 -0.5 -0.0013 -0.5 -0.5 0.0013 -0.00026 -0.41 0.081 -0.24 9.1e+03 0.35 0.0076 1 ++
23 -0.5 -0.00013 -0.51 -0.5 0.0089 -0.00029 -0.41 0.079 -0.24 9.1e+03 0.14 0.076 1 ++
24 -0.54 0.012 -0.57 -0.51 0.085 -0.0006 -0.42 0.064 -0.24 8.9e+03 0.53 0.76 0.98 ++
25 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 7.6 1 ++
26 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 3.8 -46 -
27 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 1.9 -35 -
28 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.95 -20 -
29 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.48 -7.4 -
30 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.24 -2.3 -
31 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.12 -1.7 -
32 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.06 -2.4 -
33 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.03 -3 -
34 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.015 -3.4 -
35 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.0075 -3.9 -
36 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.0037 -4.2 -
37 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.0019 -4.4 -
38 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.00093 -4.1 -
39 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.00047 -2.7 -
40 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.00023 -2 -
41 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 0.00012 -1.2 -
42 -0.72 0.77 -0.95 -0.3 0.13 -0.00087 -0.82 0.03 -0.55 8.5e+03 5.8 5.8e-05 0.05 -
43 -0.72 0.77 -0.95 -0.3 0.13 -0.00082 -0.82 0.03 -0.55 8.4e+03 3.4 0.00058 0.92 ++
44 -0.72 0.78 -0.95 -0.3 0.13 -0.00079 -0.82 0.03 -0.55 8.4e+03 2.3 0.00058 0.78 +
45 -0.72 0.78 -0.95 -0.3 0.13 -0.0008 -0.82 0.03 -0.55 8.4e+03 0.13 0.0058 1 ++
46 -0.72 0.78 -0.95 -0.3 0.13 -0.00077 -0.82 0.031 -0.55 8.4e+03 0.051 0.058 1 ++
47 -0.73 0.79 -0.95 -0.3 0.069 -0.00053 -0.81 0.034 -0.55 8.4e+03 0.03 0.58 0.96 ++
48 -0.73 0.79 -0.95 -0.3 0.069 -0.00053 -0.81 0.034 -0.55 8.4e+03 0.03 0.29 -1.7 -
49 -1 1 -1.2 -0.29 -0.075 5.4e-05 -0.67 -0.021 -0.64 8.3e+03 3 2.9 0.98 ++
50 -0.96 1.6 -1.8 -0.91 -0.11 0.00023 -0.7 0.12 -1.1 8.2e+03 3.7 29 1.1 ++
51 -0.88 1.6 -2 -1.1 -0.1 0.00019 -0.71 0.18 -1.2 8.2e+03 1.1 2.9e+02 0.93 ++
52 -0.91 1.6 -2 -1.1 -0.11 0.0002 -0.71 0.17 -1.2 8.2e+03 0.42 2.9e+03 1 ++
53 -0.9 1.6 -2 -1.2 -0.11 0.0002 -0.71 0.17 -1.3 8.2e+03 0.0082 2.9e+04 1 ++
54 -0.9 1.6 -2 -1.2 -0.11 0.0002 -0.71 0.17 -1.3 8.2e+03 0.0034 2.9e+05 1 ++
55 -0.9 1.6 -2 -1.2 -0.11 0.0002 -0.71 0.17 -1.3 8.2e+03 0.00073 2.9e+06 1 ++
56 -0.9 1.6 -2 -1.2 -0.11 0.0002 -0.71 0.17 -1.3 8.2e+03 0.00034 2.9e+07 1 ++
57 -0.9 1.6 -2 -1.2 -0.11 0.0002 -0.71 0.17 -1.3 8.2e+03 5.4e-05 2.9e+08 1 ++
58 -0.9 1.6 -2 -1.2 -0.11 0.0002 -0.71 0.17 -1.3 8.2e+03 1.7e-05 2.9e+09 1 ++
59 -0.9 1.6 -2 -1.2 -0.11 0.0002 -0.71 0.17 -1.3 8.2e+03 1.7e-06 2.9e+09 1.1 ++
Optimization algorithm has converged.
Relative gradient: 1.6725525477151258e-06
Cause of termination: Relative gradient = 1.7e-06 <= 6.1e-06
Number of function evaluations: 111
Number of gradient evaluations: 51
Number of hessian evaluations: 25
Algorithm: Newton with trust region for simple bound constraints
Number of iterations: 60
Proportion of Hessian calculation: 25/25 = 100.0%
Optimization time: 0:00:00.690658
Calculate final gradient and BHHH
Calculate second derivatives
Biogeme parameters provided by the user.
No YAML file found at b09post_processing_000012.yaml. Estimation is performed.
*** Initial values of the parameters are obtained from the file __b09post_processing_000012.iter
Cannot read file __b09post_processing_000012.iter. Statement is ignored.
Starting values for the algorithm: {}
Analytical Hessian method: full
As the model is rather complex, we cancel the calculation of second derivatives. If you want to control the parameters, change the algorithm from "automatic" to "simple_bounds" in the TOML file.
Optimization algorithm: hybrid Newton/BFGS with simple bounds [simple_bounds]
** Optimization: BFGS with trust region for simple bounds
Iter. asc_train_ref asc_train_diff_ b_time_train square_tt_coef cube_tt_coef b_cost_train b_time_swissmet b_cost_swissmet asc_car_ref asc_car_diff_GA b_time_car b_cost_car mu_existing Function Relgrad Radius Rho
0 0 0 0 0 0 0 0 0 0 0 0 0 1.7 1.1e+04 0.54 0.5 -0.71 -
1 0 0 0 0 0 0 0 0 0 0 0 0 1.7 1.1e+04 0.54 0.25 -0.36 -
2 0 0 0 0 0 0 0 0 0 0 0 0 1.7 1.1e+04 0.54 0.12 0.031 -
3 -0.12 0.12 -0.12 0 0 -0.12 0.12 0.12 0.12 -0.12 0.12 0.12 1.9 9.6e+03 3.6 0.12 0.42 +
4 -0.12 0.12 -0.12 0 0 -0.12 0.12 0.12 0.12 -0.12 0.12 0.12 1.9 9.6e+03 3.6 0.062 -3.4 -
5 -0.12 0.12 -0.12 0 0 -0.12 0.12 0.12 0.12 -0.12 0.12 0.12 1.9 9.6e+03 3.6 0.031 -1.6 -
6 -0.12 0.12 -0.12 0 0 -0.12 0.12 0.12 0.12 -0.12 0.12 0.12 1.9 9.6e+03 3.6 0.016 -0.99 -
7 -0.12 0.12 -0.12 0 0 -0.12 0.12 0.12 0.12 -0.12 0.12 0.12 1.9 9.6e+03 3.6 0.0078 -0.72 -
8 -0.12 0.12 -0.12 0 0 -0.12 0.12 0.12 0.12 -0.12 0.12 0.12 1.9 9.6e+03 3.6 0.0039 -0.5 -
9 -0.12 0.12 -0.12 0 0 -0.12 0.12 0.12 0.12 -0.12 0.12 0.12 1.9 9.6e+03 3.6 0.002 -0.24 -
10 -0.12 0.12 -0.12 0 0 -0.12 0.12 0.12 0.12 -0.12 0.12 0.12 1.9 9.6e+03 3.6 0.00098 0.032 -
11 -0.13 0.13 -0.13 -0.00098 -0.00098 -0.13 0.13 0.13 0.12 -0.13 0.12 0.12 1.9 9.5e+03 1.3 0.00098 0.29 +
12 -0.13 0.13 -0.13 -0.0012 -0.0007 -0.13 0.13 0.13 0.12 -0.13 0.12 0.12 1.9 9.5e+03 0.85 0.0098 1.2 ++
13 -0.13 0.13 -0.13 -0.0031 -0.00017 -0.13 0.13 0.13 0.12 -0.13 0.11 0.12 1.9 9.5e+03 2.3 0.0098 0.89 +
14 -0.13 0.13 -0.13 -0.0049 -0.00071 -0.13 0.13 0.13 0.11 -0.13 0.1 0.11 1.9 9.5e+03 0.79 0.0098 0.84 +
15 -0.13 0.13 -0.13 -0.0063 -0.00042 -0.13 0.14 0.14 0.11 -0.13 0.094 0.11 1.9 9.4e+03 0.16 0.098 0.95 ++
16 -0.14 0.14 -0.17 -0.017 -0.0043 -0.16 0.17 0.17 0.058 -0.15 -0.0039 0.046 1.9 9.3e+03 3.2 0.098 0.4 +
17 -0.14 0.14 -0.17 -0.017 -0.0043 -0.16 0.17 0.17 0.058 -0.15 -0.0039 0.046 1.9 9.3e+03 3.2 0.049 -0.51 -
18 -0.14 0.14 -0.17 -0.017 -0.0043 -0.16 0.17 0.17 0.058 -0.15 -0.0039 0.046 1.9 9.3e+03 3.2 0.024 0.0075 -
19 -0.15 0.15 -0.18 -0.014 0.0076 -0.17 0.18 0.18 0.043 -0.16 -0.028 0.026 1.9 9.2e+03 0.9 0.024 0.2 +
20 -0.16 0.16 -0.2 -0.0096 0.0051 -0.18 0.17 0.17 0.047 -0.17 -0.0039 0.027 1.9 9.2e+03 0.49 0.24 0.92 ++
21 -0.24 0.29 -0.39 0.055 -0.0041 -0.37 -0.062 -0.075 0.0052 -0.31 -0.21 -0.073 2 9e+03 12 0.24 0.3 +
22 -0.24 0.29 -0.39 0.055 -0.0041 -0.37 -0.062 -0.075 0.0052 -0.31 -0.21 -0.073 2 9e+03 12 0.12 -0.57 -
23 -0.24 0.29 -0.39 0.055 -0.0041 -0.37 -0.062 -0.075 0.0052 -0.31 -0.21 -0.073 2 9e+03 12 0.061 -0.15 -
24 -0.24 0.29 -0.39 0.055 -0.0041 -0.37 -0.062 -0.075 0.0052 -0.31 -0.21 -0.073 2 9e+03 12 0.031 0.023 -
25 -0.24 0.29 -0.39 0.055 -0.0041 -0.37 -0.062 -0.075 0.0052 -0.31 -0.21 -0.073 2 9e+03 12 0.015 0.086 -
26 -0.24 0.29 -0.41 0.054 0.0069 -0.38 -0.07 -0.081 0.0033 -0.31 -0.19 -0.078 2 9e+03 3.3 0.015 0.11 +
27 -0.23 0.3 -0.39 0.059 0.0045 -0.38 -0.071 -0.084 -0.011 -0.32 -0.19 -0.093 2 8.8e+03 3.2 0.15 1.5 ++
28 -0.23 0.3 -0.39 0.059 0.0045 -0.38 -0.071 -0.084 -0.011 -0.32 -0.19 -0.093 2 8.8e+03 3.2 0.076 1.5 -
29 -0.23 0.3 -0.39 0.059 0.0045 -0.38 -0.071 -0.084 -0.011 -0.32 -0.19 -0.093 2 8.8e+03 3.2 0.038 1.5 -
30 -0.23 0.3 -0.39 0.059 0.0045 -0.38 -0.071 -0.084 -0.011 -0.32 -0.19 -0.093 2 8.8e+03 3.2 0.019 1.5 -
31 -0.23 0.3 -0.39 0.059 0.0045 -0.38 -0.071 -0.084 -0.011 -0.32 -0.19 -0.093 2 8.8e+03 3.2 0.0095 -2.9 -
32 -0.23 0.3 -0.39 0.059 0.0045 -0.38 -0.071 -0.084 -0.011 -0.32 -0.19 -0.093 2 8.8e+03 3.2 0.0048 -0.85 -
33 -0.23 0.3 -0.39 0.06 -0.00024 -0.37 -0.075 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 3 0.048 1 ++
34 -0.23 0.3 -0.39 0.06 -0.00024 -0.37 -0.075 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 3 0.024 1 -
35 -0.23 0.3 -0.39 0.06 -0.00024 -0.37 -0.075 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 3 0.012 -4.4 -
36 -0.23 0.3 -0.39 0.06 -0.00024 -0.37 -0.075 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 3 0.006 -3.6 -
37 -0.23 0.3 -0.39 0.06 -0.00024 -0.37 -0.075 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 3 0.003 -2.9 -
38 -0.23 0.3 -0.39 0.06 -0.00024 -0.37 -0.075 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 3 0.0015 -2 -
39 -0.23 0.3 -0.39 0.06 -0.00024 -0.37 -0.075 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 3 0.00075 -1.2 -
40 -0.23 0.3 -0.39 0.06 -0.00024 -0.37 -0.075 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 3 0.00037 -0.49 -
41 -0.23 0.3 -0.38 0.06 -0.00061 -0.37 -0.076 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 3 0.00037 0.22 +
42 -0.23 0.3 -0.38 0.061 -0.00043 -0.37 -0.076 -0.089 -0.016 -0.32 -0.19 -0.098 2 8.7e+03 0.78 0.0037 0.97 ++
43 -0.23 0.3 -0.38 0.062 -0.00047 -0.37 -0.077 -0.09 -0.018 -0.32 -0.2 -0.1 2 8.7e+03 0.31 0.037 0.98 ++
44 -0.22 0.31 -0.38 0.077 -0.00044 -0.37 -0.086 -0.096 -0.034 -0.33 -0.23 -0.12 2 8.6e+03 3.1 0.037 0.82 +
45 -0.23 0.33 -0.4 0.11 -0.00078 -0.38 -0.12 -0.13 -0.036 -0.34 -0.26 -0.13 2 8.6e+03 3 0.37 0.91 ++
46 -0.23 0.33 -0.4 0.11 -0.00078 -0.38 -0.12 -0.13 -0.036 -0.34 -0.26 -0.13 2 8.6e+03 3 0.19 -1.7 -
47 -0.23 0.33 -0.4 0.11 -0.00078 -0.38 -0.12 -0.13 -0.036 -0.34 -0.26 -0.13 2 8.6e+03 3 0.093 0.045 -
48 -0.22 0.37 -0.42 0.19 -0.00092 -0.4 -0.21 -0.2 -0.071 -0.38 -0.35 -0.17 2 8.5e+03 5.8 0.093 0.61 +
49 -0.24 0.39 -0.48 0.24 -0.0014 -0.43 -0.3 -0.28 -0.06 -0.4 -0.34 -0.17 2.1 8.4e+03 4.9 0.093 0.52 +
50 -0.24 0.44 -0.49 0.27 -0.0015 -0.47 -0.4 -0.34 -0.11 -0.44 -0.43 -0.23 2.1 8.4e+03 5.9 0.093 0.66 +
51 -0.29 0.49 -0.59 0.25 -0.0011 -0.53 -0.44 -0.35 -0.18 -0.48 -0.41 -0.31 2.1 8.4e+03 9.1 0.093 0.18 +
52 -0.29 0.49 -0.59 0.25 -0.0011 -0.53 -0.44 -0.35 -0.18 -0.48 -0.41 -0.31 2.1 8.4e+03 9.1 0.047 -0.51 -
53 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 0.047 0.7 +
54 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 0.023 -0.38 -
55 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 0.012 -0.26 -
56 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 0.0058 -0.32 -
57 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 0.0029 -0.49 -
58 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 0.0015 -0.65 -
59 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 0.00073 -0.75 -
60 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 0.00036 -0.81 -
61 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 0.00018 -0.85 -
62 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.39 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 7.3 9.1e-05 -0.26 -
63 -0.27 0.5 -0.54 0.22 -0.0012 -0.52 -0.48 -0.38 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 3.1 9.1e-05 0.3 +
64 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.38 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 0.84 0.00091 1.3 ++
65 -0.27 0.5 -0.54 0.22 -0.0011 -0.52 -0.48 -0.38 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 0.36 0.0091 0.96 ++
66 -0.28 0.5 -0.55 0.22 -0.0012 -0.52 -0.48 -0.38 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 0.55 0.091 0.93 ++
67 -0.28 0.5 -0.55 0.22 -0.0012 -0.52 -0.48 -0.38 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 0.55 0.045 -1.2 -
68 -0.28 0.5 -0.55 0.22 -0.0012 -0.52 -0.48 -0.38 -0.18 -0.49 -0.42 -0.31 2.1 8.3e+03 0.55 0.023 -0.098 -
69 -0.3 0.51 -0.57 0.23 -0.0012 -0.53 -0.48 -0.38 -0.19 -0.49 -0.43 -0.32 2.1 8.3e+03 0.72 0.023 0.77 +
70 -0.3 0.52 -0.56 0.2 -0.0011 -0.53 -0.51 -0.4 -0.2 -0.49 -0.45 -0.33 2.1 8.3e+03 0.35 0.023 0.77 +
71 -0.32 0.52 -0.59 0.19 -0.001 -0.55 -0.53 -0.42 -0.2 -0.5 -0.44 -0.33 2.1 8.3e+03 1.2 0.023 0.31 +
72 -0.33 0.53 -0.59 0.19 -0.001 -0.55 -0.53 -0.41 -0.21 -0.5 -0.46 -0.34 2.1 8.3e+03 0.16 0.023 0.87 +
73 -0.34 0.54 -0.6 0.17 -0.00095 -0.55 -0.55 -0.43 -0.21 -0.5 -0.46 -0.34 2.1 8.3e+03 0.025 0.23 0.96 ++
74 -0.34 0.54 -0.6 0.17 -0.00095 -0.55 -0.55 -0.43 -0.21 -0.5 -0.46 -0.34 2.1 8.3e+03 0.025 0.11 -0.023 -
75 -0.42 0.59 -0.66 0.078 -0.00056 -0.58 -0.66 -0.49 -0.27 -0.52 -0.55 -0.41 2.1 8.3e+03 0.047 0.11 0.56 +
76 -0.42 0.59 -0.66 0.078 -0.00056 -0.58 -0.66 -0.49 -0.27 -0.52 -0.55 -0.41 2.1 8.3e+03 0.047 0.057 -3 -
77 -0.45 0.59 -0.72 0.11 -0.00068 -0.6 -0.66 -0.46 -0.28 -0.52 -0.57 -0.42 2.1 8.3e+03 0.52 0.057 0.13 +
78 -0.45 0.59 -0.72 0.11 -0.00068 -0.6 -0.66 -0.46 -0.28 -0.52 -0.57 -0.42 2.1 8.3e+03 0.52 0.028 -0.44 -
79 -0.44 0.59 -0.71 0.08 -0.00056 -0.59 -0.69 -0.49 -0.27 -0.52 -0.55 -0.41 2.1 8.3e+03 0.22 0.028 0.81 +
80 -0.44 0.6 -0.72 0.083 -0.00058 -0.59 -0.7 -0.48 -0.29 -0.52 -0.58 -0.42 2.1 8.3e+03 0.04 0.028 0.32 +
81 -0.45 0.61 -0.74 0.076 -0.00055 -0.59 -0.73 -0.49 -0.29 -0.51 -0.58 -0.42 2.1 8.3e+03 0.15 0.28 0.98 ++
82 -0.45 0.61 -0.74 0.076 -0.00055 -0.59 -0.73 -0.49 -0.29 -0.51 -0.58 -0.42 2.1 8.3e+03 0.15 0.14 -1.4 -
83 -0.47 0.65 -0.82 -0.0054 -0.00022 -0.58 -0.87 -0.52 -0.33 -0.5 -0.66 -0.45 2.1 8.2e+03 0.2 0.14 0.2 +
84 -0.52 0.7 -0.97 -0.0073 -0.00021 -0.59 -1 -0.5 -0.38 -0.49 -0.74 -0.48 2.1 8.2e+03 0.63 0.14 0.88 +
85 -0.51 0.73 -1.1 -0.024 -0.00013 -0.57 -1.1 -0.55 -0.38 -0.46 -0.8 -0.47 2.1 8.2e+03 2.3 0.14 0.7 +
86 -0.51 0.77 -1.2 -0.075 3.5e-05 -0.56 -1.3 -0.52 -0.43 -0.43 -0.91 -0.49 2.1 8.2e+03 16 0.14 0.71 +
87 -0.51 0.77 -1.2 -0.075 3.5e-05 -0.56 -1.3 -0.52 -0.43 -0.43 -0.91 -0.49 2.1 8.2e+03 16 0.071 -4.1 -
88 -0.51 0.77 -1.2 -0.075 3.5e-05 -0.56 -1.3 -0.52 -0.43 -0.43 -0.91 -0.49 2.1 8.2e+03 16 0.036 -1.2 -
89 -0.51 0.77 -1.2 -0.075 3.5e-05 -0.56 -1.3 -0.52 -0.43 -0.43 -0.91 -0.49 2.1 8.2e+03 16 0.018 0.014 -
90 -0.51 0.78 -1.2 -0.057 3.4e-05 -0.56 -1.3 -0.52 -0.43 -0.43 -0.91 -0.49 2.1 8.2e+03 18 0.018 0.24 +
91 -0.51 0.78 -1.2 -0.057 3.4e-05 -0.56 -1.3 -0.52 -0.43 -0.43 -0.91 -0.49 2.1 8.2e+03 18 0.0089 -0.08 -
92 -0.51 0.78 -1.2 -0.048 -6.4e-05 -0.56 -1.3 -0.52 -0.43 -0.43 -0.91 -0.49 2.1 8.2e+03 8.5 0.0089 0.39 +
93 -0.51 0.78 -1.2 -0.057 -9.3e-06 -0.56 -1.3 -0.53 -0.43 -0.43 -0.91 -0.49 2.1 8.2e+03 2.9 0.089 1 ++
94 -0.51 0.78 -1.2 -0.057 -9.3e-06 -0.56 -1.3 -0.53 -0.43 -0.43 -0.91 -0.49 2.1 8.2e+03 2.9 0.044 0.083 -
95 -0.5 0.79 -1.2 -0.073 6e-05 -0.57 -1.3 -0.54 -0.42 -0.43 -0.93 -0.49 2.1 8.2e+03 3 0.044 0.41 +
96 -0.5 0.8 -1.3 -0.07 6.5e-05 -0.57 -1.3 -0.52 -0.44 -0.42 -0.98 -0.5 2.1 8.2e+03 13 0.044 0.33 +
97 -0.5 0.8 -1.3 -0.07 6.5e-05 -0.57 -1.3 -0.52 -0.44 -0.42 -0.98 -0.5 2.1 8.2e+03 13 0.022 -0.2 -
98 -0.5 0.8 -1.3 -0.07 6.5e-05 -0.57 -1.3 -0.52 -0.44 -0.42 -0.98 -0.5 2.1 8.2e+03 13 0.011 0.032 -
99 -0.5 0.8 -1.3 -0.059 -1.6e-05 -0.57 -1.3 -0.53 -0.44 -0.42 -0.97 -0.49 2.1 8.2e+03 8.7 0.011 0.44 +
100 -0.5 0.8 -1.3 -0.069 4.4e-05 -0.57 -1.4 -0.53 -0.43 -0.42 -0.97 -0.49 2.1 8.1e+03 0.91 0.011 0.85 +
101 -0.5 0.8 -1.3 -0.066 3.5e-05 -0.57 -1.4 -0.53 -0.44 -0.41 -0.98 -0.49 2.1 8.1e+03 0.36 0.11 1 ++
102 -0.49 0.82 -1.4 -0.077 6.7e-05 -0.57 -1.5 -0.54 -0.44 -0.39 -1 -0.48 2.1 8.1e+03 8.3 1.1 1 ++
103 -0.49 0.82 -1.4 -0.077 6.7e-05 -0.57 -1.5 -0.54 -0.44 -0.39 -1 -0.48 2.1 8.1e+03 8.3 0.56 -3.3 -
104 -0.49 0.82 -1.4 -0.077 6.7e-05 -0.57 -1.5 -0.54 -0.44 -0.39 -1 -0.48 2.1 8.1e+03 8.3 0.28 -0.026 -
105 -0.42 0.88 -1.7 -0.1 0.00019 -0.56 -1.7 -0.56 -0.48 -0.32 -1.2 -0.5 2.1 8.1e+03 3.8 0.28 0.72 +
106 -0.42 0.88 -1.7 -0.1 0.00019 -0.56 -1.7 -0.56 -0.48 -0.32 -1.2 -0.5 2.1 8.1e+03 3.8 0.14 -16 -
107 -0.42 0.88 -1.7 -0.1 0.00019 -0.56 -1.7 -0.56 -0.48 -0.32 -1.2 -0.5 2.1 8.1e+03 3.8 0.069 -6.6 -
108 -0.42 0.88 -1.7 -0.1 0.00019 -0.56 -1.7 -0.56 -0.48 -0.32 -1.2 -0.5 2.1 8.1e+03 3.8 0.035 -3.3 -
109 -0.42 0.88 -1.7 -0.1 0.00019 -0.56 -1.7 -0.56 -0.48 -0.32 -1.2 -0.5 2.1 8.1e+03 3.8 0.017 -1.4 -
110 -0.43 0.88 -1.7 -0.086 0.00013 -0.56 -1.7 -0.55 -0.48 -0.32 -1.2 -0.5 2.1 8.1e+03 17 0.017 0.24 +
111 -0.43 0.88 -1.7 -0.092 0.00013 -0.57 -1.7 -0.56 -0.48 -0.32 -1.2 -0.49 2.1 8.1e+03 13 0.017 0.55 +
112 -0.43 0.88 -1.7 -0.099 0.00018 -0.57 -1.8 -0.55 -0.49 -0.32 -1.3 -0.5 2.1 8.1e+03 5.9 0.017 0.48 +
113 -0.42 0.88 -1.7 -0.094 0.00015 -0.57 -1.8 -0.57 -0.49 -0.32 -1.3 -0.5 2.1 8.1e+03 1.6 0.017 0.53 +
114 -0.43 0.89 -1.7 -0.095 0.00015 -0.58 -1.8 -0.56 -0.49 -0.32 -1.3 -0.5 2.1 8.1e+03 4.6 0.017 0.43 +
115 -0.43 0.89 -1.7 -0.095 0.00015 -0.58 -1.8 -0.56 -0.49 -0.32 -1.3 -0.5 2.1 8.1e+03 4.6 0.0087 -0.045 -
116 -0.42 0.89 -1.7 -0.097 0.00017 -0.57 -1.8 -0.56 -0.49 -0.31 -1.3 -0.5 2.1 8.1e+03 1.4 0.0087 0.44 +
117 -0.42 0.89 -1.7 -0.097 0.00017 -0.57 -1.8 -0.57 -0.48 -0.31 -1.3 -0.5 2.1 8.1e+03 1.6 0.0087 0.51 +
118 -0.42 0.89 -1.7 -0.096 0.00016 -0.57 -1.8 -0.56 -0.49 -0.31 -1.3 -0.5 2.1 8.1e+03 0.57 0.087 0.95 ++
119 -0.4 0.91 -1.8 -0.1 0.00018 -0.59 -1.9 -0.58 -0.49 -0.3 -1.4 -0.5 2 8.1e+03 1.2 0.87 0.95 ++
120 -0.4 0.91 -1.8 -0.1 0.00018 -0.59 -1.9 -0.58 -0.49 -0.3 -1.4 -0.5 2 8.1e+03 1.2 0.43 -6.4 -
121 -0.4 0.91 -1.8 -0.1 0.00018 -0.59 -1.9 -0.58 -0.49 -0.3 -1.4 -0.5 2 8.1e+03 1.2 0.22 -1.9 -
122 -0.4 0.91 -1.8 -0.1 0.00018 -0.59 -1.9 -0.58 -0.49 -0.3 -1.4 -0.5 2 8.1e+03 1.2 0.11 -3.6 -
123 -0.4 0.91 -1.8 -0.1 0.00018 -0.59 -1.9 -0.58 -0.49 -0.3 -1.4 -0.5 2 8.1e+03 1.2 0.054 -0.64 -
124 -0.39 0.92 -1.8 -0.1 0.0002 -0.61 -1.9 -0.57 -0.49 -0.29 -1.4 -0.5 2 8.1e+03 2.9 0.054 0.28 +
125 -0.36 0.93 -1.9 -0.1 0.00019 -0.61 -2 -0.58 -0.49 -0.29 -1.4 -0.5 2 8.1e+03 4.3 0.054 0.8 +
126 -0.37 0.93 -1.9 -0.1 0.00019 -0.61 -2 -0.6 -0.49 -0.29 -1.5 -0.51 2 8.1e+03 0.82 0.054 0.83 +
127 -0.34 0.97 -2 -0.1 0.00019 -0.65 -2 -0.59 -0.48 -0.31 -1.5 -0.51 1.9 8.1e+03 4 0.054 0.28 +
128 -0.34 0.97 -2 -0.1 0.00019 -0.65 -2 -0.59 -0.48 -0.31 -1.5 -0.51 1.9 8.1e+03 4 0.027 -1.2 -
129 -0.35 0.95 -2 -0.1 0.0002 -0.63 -2 -0.62 -0.49 -0.3 -1.5 -0.52 1.9 8.1e+03 0.74 0.027 0.68 +
130 -0.35 0.95 -2 -0.1 0.0002 -0.63 -2 -0.62 -0.49 -0.3 -1.5 -0.52 1.9 8.1e+03 0.74 0.014 -2.2 -
131 -0.35 0.95 -2 -0.1 0.0002 -0.63 -2 -0.62 -0.49 -0.3 -1.5 -0.52 1.9 8.1e+03 0.74 0.0068 -0.27 -
132 -0.35 0.95 -2 -0.1 0.00019 -0.63 -2 -0.61 -0.49 -0.3 -1.5 -0.52 1.9 8.1e+03 1.5 0.0068 0.3 +
133 -0.35 0.95 -2 -0.1 0.0002 -0.63 -2 -0.61 -0.49 -0.31 -1.5 -0.51 1.9 8.1e+03 0.6 0.0068 0.87 +
134 -0.34 0.95 -2 -0.11 0.0002 -0.64 -2 -0.6 -0.49 -0.31 -1.5 -0.52 1.9 8.1e+03 0.36 0.0068 0.73 +
135 -0.34 0.95 -2 -0.11 0.0002 -0.64 -2 -0.6 -0.49 -0.31 -1.5 -0.52 1.9 8.1e+03 0.36 0.0034 -0.13 -
136 -0.34 0.96 -2 -0.1 0.00019 -0.64 -2 -0.61 -0.49 -0.31 -1.5 -0.51 1.9 8.1e+03 0.72 0.0034 0.52 +
137 -0.34 0.96 -2 -0.1 0.0002 -0.64 -2.1 -0.61 -0.49 -0.31 -1.5 -0.52 1.9 8.1e+03 0.063 0.034 1 ++
138 -0.33 0.96 -2 -0.1 0.00019 -0.64 -2.1 -0.62 -0.48 -0.32 -1.5 -0.52 1.9 8.1e+03 0.14 0.034 0.65 +
139 -0.32 0.97 -2.1 -0.11 0.0002 -0.67 -2.1 -0.6 -0.47 -0.33 -1.6 -0.52 1.8 8.1e+03 0.58 0.034 0.51 +
140 -0.32 0.97 -2.1 -0.11 0.0002 -0.67 -2.1 -0.6 -0.47 -0.33 -1.6 -0.52 1.8 8.1e+03 0.58 0.017 -0.5 -
141 -0.32 0.97 -2.1 -0.11 0.0002 -0.66 -2.1 -0.62 -0.47 -0.33 -1.6 -0.52 1.8 8.1e+03 0.43 0.017 0.21 +
142 -0.31 0.98 -2.1 -0.1 0.0002 -0.67 -2.1 -0.63 -0.47 -0.35 -1.6 -0.52 1.8 8.1e+03 0.38 0.017 0.38 +
143 -0.32 0.97 -2.1 -0.11 0.00021 -0.67 -2.1 -0.62 -0.47 -0.35 -1.6 -0.53 1.8 8.1e+03 0.3 0.017 0.34 +
144 -0.31 0.97 -2.1 -0.11 0.0002 -0.67 -2.1 -0.62 -0.47 -0.36 -1.6 -0.52 1.8 8.1e+03 3.1 0.017 0.76 +
145 -0.31 0.97 -2.1 -0.11 0.00021 -0.67 -2.1 -0.62 -0.47 -0.36 -1.6 -0.53 1.8 8.1e+03 0.71 0.017 0.85 +
146 -0.31 0.97 -2.1 -0.11 0.00021 -0.67 -2.1 -0.62 -0.47 -0.36 -1.6 -0.53 1.8 8.1e+03 0.71 0.0085 -0.62 -
147 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.17 0.0085 0.28 +
148 -0.3 0.97 -2.1 -0.11 0.00021 -0.68 -2.2 -0.62 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.44 0.0085 0.41 +
149 -0.3 0.97 -2.1 -0.11 0.00021 -0.68 -2.2 -0.62 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.44 0.0042 -0.76 -
150 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.11 0.0042 0.69 +
151 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.11 0.0021 -0.87 -
152 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.086 0.0021 0.38 +
153 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.052 0.021 0.91 ++
154 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.052 0.011 -2.8 -
155 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.052 0.0053 -0.83 -
156 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.052 0.0026 -0.0095 -
157 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.015 0.0026 0.35 +
158 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.37 -1.6 -0.53 1.8 8.1e+03 0.28 0.0026 0.69 +
159 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.018 0.0026 0.81 +
160 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.018 0.0013 -0.35 -
161 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.018 0.00066 -0.074 -
162 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.062 0.00066 0.36 +
163 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.0028 0.00066 0.56 +
164 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.032 0.00066 0.8 +
165 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.032 0.00033 -0.26 -
166 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.0053 0.00033 0.37 +
167 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.0036 0.00033 0.87 +
168 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.019 0.00033 0.38 +
169 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.019 0.00017 -3.1 -
170 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.019 8.3e-05 -0.53 -
171 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00088 8.3e-05 0.77 +
172 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00088 4.1e-05 -0.63 -
173 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.0027 4.1e-05 0.26 +
174 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.0007 4.1e-05 0.39 +
175 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.0007 2.1e-05 -0.83 -
176 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.0025 2.1e-05 0.3 +
177 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00022 2.1e-05 0.79 +
178 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00022 1e-05 0.099 -
179 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00084 1e-05 0.49 +
180 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 2.3e-05 1e-05 0.77 +
181 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 2.3e-05 5.2e-06 -0.36 -
182 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 2.3e-05 2.6e-06 0.054 -
183 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00021 2.6e-06 0.53 +
184 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00017 2.6e-06 0.57 +
185 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 8.8e-06 2.6e-06 0.84 +
186 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00022 2.6e-06 0.12 +
187 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00017 2.6e-06 0.76 +
188 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 0.00017 1.3e-06 -0.8 -
189 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 7.3e-05 1.3e-06 0.35 +
190 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 4.3e-05 1.3e-06 0.54 +
191 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 5.3e-05 1.3e-06 0.21 +
192 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 3e-05 1.3e-06 0.11 +
193 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 3e-05 6.5e-07 -1.1 -
194 -0.3 0.98 -2.1 -0.11 0.00021 -0.68 -2.2 -0.63 -0.46 -0.38 -1.6 -0.53 1.8 8.1e+03 4.7e-06 6.5e-07 0.79 -
Optimization algorithm has converged.
Relative gradient: 4.728308869274477e-06
Cause of termination: Relative gradient = 4.7e-06 <= 6.1e-06
Number of function evaluations: 412
Number of gradient evaluations: 217
Number of hessian evaluations: 0
Algorithm: BFGS with trust region for simple bound constraints
Number of iterations: 195
Proportion of Hessian calculation: 0/108 = 0.0%
Optimization time: 0:00:00.517627
Calculate final gradient and BHHH
Calculate second derivatives
We retrieve the first estimation results for illustration.
spec, results = next(iter(all_results.items()))
print(spec)
asc:GA-LUGGAGE;b_cost_gen_altspec:generic;b_time:COMMUTERS;b_time_gen_altspec:altspec;model_catalog:nested existing;train_tt_catalog:power
print(results.short_summary())
Results for model b09post_processing_000000
Nbr of parameters: 18
Sample size: 10719
Excluded data: 9
Final log likelihood: -8011.344
Akaike Information Criterion: 16058.69
Bayesian Information Criterion: 16189.72
estimated_parameters = get_pandas_estimated_parameters(estimation_results=results)
display(estimated_parameters)
{'Estimated parameters': Name Value ... Robust t-stat. Robust p-value
0 asc_train_ref -0.475078 ... -4.625522 3.736565e-06
1 asc_train_diff_GA 0.949747 ... 12.331183 0.000000e+00
2 asc_train_diff_one_lugg 0.312049 ... 4.800245 1.584715e-06
3 asc_train_diff_several_lugg 0.158582 ... 1.029399 3.032924e-01
4 b_time_train_ref -2.130545 ... -21.695021 0.000000e+00
5 b_time_train_diff_commuters -0.131137 ... -0.825306 4.091981e-01
6 square_tt_coef -0.101898 ... -25.226651 0.000000e+00
7 cube_tt_coef 0.000184 ... 8.290855 2.220446e-16
8 b_cost -0.620239 ... -13.644598 0.000000e+00
9 b_time_swissmetro_ref -2.205023 ... -24.416661 0.000000e+00
10 b_time_swissmetro_diff_commuters 0.655880 ... 2.736797 6.204055e-03
11 asc_car_ref -0.357592 ... -4.702144 2.574436e-06
12 asc_car_diff_GA -0.286874 ... -2.422136 1.542958e-02
13 asc_car_diff_one_lugg -0.085559 ... -1.808760 7.048835e-02
14 asc_car_diff_several_lugg -0.387915 ... -2.212088 2.696059e-02
15 b_time_car_ref -1.547701 ... -20.504057 0.000000e+00
16 b_time_car_diff_commuters -0.161267 ... -0.884726 3.763045e-01
17 mu_existing 1.791484 ... 17.519197 0.000000e+00
[18 rows x 5 columns]}
The following plot illustrates all models that have been estimated. Each dot corresponds to a model. The x-coordinate corresponds to the Akaike Information Criterion (AIC). The y-coordinate corresponds to the Bayesian Information Criterion (BIC). Note that there is a third objective that does not appear on this picture: the number of parameters. If the shape of the dot is a circle, it means that it corresponds to a Pareto optimal model. If the shape is a cross, it means that the model has been Pareto optimal at some point during the algorithm and later removed as a new model dominating it has been found. If the shape is a start, it means that the model has been deemed invalid.
if can_plot:
_ = post_processing.plot(
label_x='Nbr of parameters',
label_y='Negative log likelihood',
objective_x=1,
objective_y=0,
)
Total running time of the script: (0 minutes 15.287 seconds)