.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "examples/mlearning/regression_model/plot_regression_api.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note :ref:`Go to the end ` to download the full example code .. rst-class:: sphx-glr-example-title .. _sphx_glr_examples_mlearning_regression_model_plot_regression_api.py: API === Here are some examples of the machine learning API applied to regression models. .. GENERATED FROM PYTHON SOURCE LINES 28-42 .. code-block:: Python from __future__ import annotations from gemseo import configure_logger from gemseo import create_design_space from gemseo import create_discipline from gemseo import create_scenario from gemseo.mlearning import create_regression_model from gemseo.mlearning import get_regression_models from gemseo.mlearning import get_regression_options configure_logger() .. rst-class:: sphx-glr-script-out .. code-block:: none .. GENERATED FROM PYTHON SOURCE LINES 43-45 Get available regression models ------------------------------- .. GENERATED FROM PYTHON SOURCE LINES 45-47 .. code-block:: Python get_regression_models() .. rst-class:: sphx-glr-script-out .. code-block:: none ['GaussianProcessRegressor', 'LinearRegressor', 'MOERegressor', 'PCERegressor', 'PolynomialRegressor', 'RBFRegressor', 'RandomForestRegressor'] .. GENERATED FROM PYTHON SOURCE LINES 48-50 Get regression model options ---------------------------- .. GENERATED FROM PYTHON SOURCE LINES 50-52 .. code-block:: Python get_regression_options("GaussianProcessRegressor") .. rst-class:: sphx-glr-script-out .. code-block:: none +---------------------------+--------------------------------------------------------------------------------------------+---------------------------+ | Name | Description | Type | +---------------------------+--------------------------------------------------------------------------------------------+---------------------------+ | alpha | The nugget effect to regularize the model. | number | | bounds | The lower and upper bounds of the parameter length scales when ``kernel`` is ``none``. | null | | | either a unique lower-upper pair common to all the inputs or lower-upper pairs for some of | | | | them. when ``bounds`` is ``none`` or when an input has no pair, the lower bound is 0.01 | | | | and the upper bound is 100. | | | input_names | The names of the input variables. if ``none``, consider all the input variables of the | null | | | learning dataset. | | | kernel | The kernel specifying the covariance model. if ``none``, use a matérn(2.5). | null | | n_restarts_optimizer | The number of restarts of the optimizer. | integer | | optimizer | The optimization algorithm to find the parameter length scales. | string | | output_names | The names of the output variables. if ``none``, consider all the output variables of the | null | | | learning dataset. | | | random_state | The random state passed to the random number generator. use an integer for reproducible | integer | | | results. | | | transformer | The strategies to transform the variables. the values are instances of | object | | | :class:`.basetransformer` while the keys are the names of either the variables or the | | | | groups of variables, e.g. ``"inputs"`` or ``"outputs"`` in the case of the regression | | | | algorithms. if a group is specified, the :class:`.basetransformer` will be applied to all | | | | the variables of this group. if :attr:`.identity`, do not transform the variables. | | +---------------------------+--------------------------------------------------------------------------------------------+---------------------------+ INFO - 08:58:10: +---------------------------+--------------------------------------------------------------------------------------------+---------------------------+ INFO - 08:58:10: | Name | Description | Type | INFO - 08:58:10: +---------------------------+--------------------------------------------------------------------------------------------+---------------------------+ INFO - 08:58:10: | alpha | The nugget effect to regularize the model. | number | INFO - 08:58:10: | bounds | The lower and upper bounds of the parameter length scales when ``kernel`` is ``none``. | null | INFO - 08:58:10: | | either a unique lower-upper pair common to all the inputs or lower-upper pairs for some of | | INFO - 08:58:10: | | them. when ``bounds`` is ``none`` or when an input has no pair, the lower bound is 0.01 | | INFO - 08:58:10: | | and the upper bound is 100. | | INFO - 08:58:10: | input_names | The names of the input variables. if ``none``, consider all the input variables of the | null | INFO - 08:58:10: | | learning dataset. | | INFO - 08:58:10: | kernel | The kernel specifying the covariance model. if ``none``, use a matérn(2.5). | null | INFO - 08:58:10: | n_restarts_optimizer | The number of restarts of the optimizer. | integer | INFO - 08:58:10: | optimizer | The optimization algorithm to find the parameter length scales. | string | INFO - 08:58:10: | output_names | The names of the output variables. if ``none``, consider all the output variables of the | null | INFO - 08:58:10: | | learning dataset. | | INFO - 08:58:10: | random_state | The random state passed to the random number generator. use an integer for reproducible | integer | INFO - 08:58:10: | | results. | | INFO - 08:58:10: | transformer | The strategies to transform the variables. the values are instances of | object | INFO - 08:58:10: | | :class:`.basetransformer` while the keys are the names of either the variables or the | | INFO - 08:58:10: | | groups of variables, e.g. ``"inputs"`` or ``"outputs"`` in the case of the regression | | INFO - 08:58:10: | | algorithms. if a group is specified, the :class:`.basetransformer` will be applied to all | | INFO - 08:58:10: | | the variables of this group. if :attr:`.identity`, do not transform the variables. | | INFO - 08:58:10: +---------------------------+--------------------------------------------------------------------------------------------+---------------------------+ {'$schema': 'http://json-schema.org/schema#', 'type': 'object', 'properties': {'transformer': {'description': 'The strategies to transform the variables. The values are instances of :class:`.BaseTransformer` while the keys are the names of either the variables or the groups of variables, e.g. ``"inputs"`` or ``"outputs"`` in the case of the regression algorithms. If a group is specified, the :class:`.BaseTransformer` will be applied to all the variables of this group. If :attr:`.IDENTITY`, do not transform the variables.', 'type': 'object'}, 'input_names': {'description': 'The names of the input variables. If ``None``, consider all the input variables of the learning dataset.', 'type': 'null'}, 'output_names': {'description': 'The names of the output variables. If ``None``, consider all the output variables of the learning dataset.', 'type': 'null'}, 'kernel': {'description': 'The kernel specifying the covariance model. If ``None``, use a Matérn(2.5).', 'type': 'null'}, 'bounds': {'description': 'The lower and upper bounds of the parameter length scales when ``kernel`` is ``None``. Either a unique lower-upper pair common to all the inputs or lower-upper pairs for some of them. When ``bounds`` is ``None`` or when an input has no pair, the lower bound is 0.01 and the upper bound is 100.', 'type': 'null'}, 'alpha': {'description': 'The nugget effect to regularize the model.', 'type': 'number'}, 'optimizer': {'description': 'The optimization algorithm to find the parameter length scales.', 'type': 'string'}, 'n_restarts_optimizer': {'description': 'The number of restarts of the optimizer.', 'type': 'integer'}, 'random_state': {'description': 'The random state passed to the random number generator. Use an integer for reproducible results.', 'type': 'integer'}}} .. GENERATED FROM PYTHON SOURCE LINES 53-55 Create regression model ----------------------- .. GENERATED FROM PYTHON SOURCE LINES 55-73 .. code-block:: Python expressions = {"y_1": "1+2*x_1+3*x_2", "y_2": "-1-2*x_1-3*x_2"} discipline = create_discipline( "AnalyticDiscipline", name="func", expressions=expressions ) design_space = create_design_space() design_space.add_variable("x_1", l_b=0.0, u_b=1.0) design_space.add_variable("x_2", l_b=0.0, u_b=1.0) scenario = create_scenario( [discipline], "DisciplinaryOpt", "y_1", design_space, scenario_type="DOE" ) scenario.execute({"algo": "fullfact", "n_samples": 9}) dataset = scenario.to_dataset(opt_naming=False) model = create_regression_model("LinearRegressor", data=dataset) model.learn() model .. rst-class:: sphx-glr-script-out .. code-block:: none INFO - 08:58:10: INFO - 08:58:10: *** Start DOEScenario execution *** INFO - 08:58:10: DOEScenario INFO - 08:58:10: Disciplines: func INFO - 08:58:10: MDO formulation: DisciplinaryOpt INFO - 08:58:10: Optimization problem: INFO - 08:58:10: minimize y_1(x_1, x_2) INFO - 08:58:10: with respect to x_1, x_2 INFO - 08:58:10: over the design space: INFO - 08:58:10: +------+-------------+-------+-------------+-------+ INFO - 08:58:10: | Name | Lower bound | Value | Upper bound | Type | INFO - 08:58:10: +------+-------------+-------+-------------+-------+ INFO - 08:58:10: | x_1 | 0 | None | 1 | float | INFO - 08:58:10: | x_2 | 0 | None | 1 | float | INFO - 08:58:10: +------+-------------+-------+-------------+-------+ INFO - 08:58:10: Solving optimization problem with algorithm fullfact: INFO - 08:58:10: 11%|█ | 1/9 [00:00<00:00, 368.67 it/sec, obj=1] INFO - 08:58:10: 22%|██▏ | 2/9 [00:00<00:00, 602.15 it/sec, obj=2] INFO - 08:58:10: 33%|███▎ | 3/9 [00:00<00:00, 770.21 it/sec, obj=3] INFO - 08:58:10: 44%|████▍ | 4/9 [00:00<00:00, 895.79 it/sec, obj=2.5] INFO - 08:58:10: 56%|█████▌ | 5/9 [00:00<00:00, 998.69 it/sec, obj=3.5] INFO - 08:58:10: 67%|██████▋ | 6/9 [00:00<00:00, 1081.98 it/sec, obj=4.5] INFO - 08:58:10: 78%|███████▊ | 7/9 [00:00<00:00, 1145.72 it/sec, obj=4] INFO - 08:58:10: 89%|████████▉ | 8/9 [00:00<00:00, 1202.45 it/sec, obj=5] INFO - 08:58:10: 100%|██████████| 9/9 [00:00<00:00, 1241.57 it/sec, obj=6] INFO - 08:58:10: Optimization result: INFO - 08:58:10: Optimizer info: INFO - 08:58:10: Status: None INFO - 08:58:10: Message: None INFO - 08:58:10: Number of calls to the objective function by the optimizer: 9 INFO - 08:58:10: Solution: INFO - 08:58:10: Objective: 1.0 INFO - 08:58:10: Design space: INFO - 08:58:10: +------+-------------+-------+-------------+-------+ INFO - 08:58:10: | Name | Lower bound | Value | Upper bound | Type | INFO - 08:58:10: +------+-------------+-------+-------------+-------+ INFO - 08:58:10: | x_1 | 0 | 0 | 1 | float | INFO - 08:58:10: | x_2 | 0 | 0 | 1 | float | INFO - 08:58:10: +------+-------------+-------+-------------+-------+ INFO - 08:58:10: *** End DOEScenario execution (time: 0:00:00.018071) *** .. raw:: html
LinearRegressor(fit_intercept=True, l2_penalty_ratio=1.0, penalty_level=0.0, random_state=0)
  • based on the scikit-learn library
  • built from 9 learning samples


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