Measure the quality of a machine learning algorithm¶
Introduction¶
Measuring the quality of a machine learning algorithm.
- class gemseo.mlearning.quality_measures.quality_measure.MLQualityMeasure(algo, fit_transformers=True)[source]
An abstract quality measure to assess a machine learning algorithm.
This measure can be minimized (e.g.
MSEMeasure
) or maximized (e.g.R2Measure
).It can be evaluated from the learning dataset, from a test dataset or using resampling techniques such as boostrap, cross-validation or leave-one-out.
The machine learning algorithm is usually trained. If not but required by the evaluation technique, the quality measure will train it.
Lastly, the transformers of the algorithm fitted from the learning dataset can be used as is by the resampling methods or re-fitted for each algorithm trained on a subset of the learning dataset.
- Parameters:
- class EvaluationFunctionName(value)[source]
The name of the function associated with an evaluation method.
- class EvaluationMethod(value)[source]
The evaluation method.
- BOOTSTRAP = 'BOOTSTRAP'
The name of the method to evaluate the measure by bootstrap.
- KFOLDS = 'KFOLDS'
The name of the method to evaluate the measure by cross-validation.
- LEARN = 'LEARN'
The name of the method to evaluate the measure on the learning dataset.
- LOO = 'LOO'
The name of the method to evaluate the measure by leave-one-out.
- TEST = 'TEST'
The name of the method to evaluate the measure on a test dataset.
- abstract compute_bootstrap_measure(n_replicates=100, samples=None, multioutput=True, seed=None, store_resampling_result=False)[source]
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- abstract compute_cross_validation_measure(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, store_resampling_result=False)[source]
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- abstract compute_learning_measure(samples=None, multioutput=True)[source]
Evaluate the quality measure from the learning dataset.
- Parameters:
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_leave_one_out_measure(samples=None, multioutput=True, store_resampling_result=True)[source]
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- abstract compute_test_measure(test_data, samples=None, multioutput=True)[source]
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (Dataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_loo(samples=None, multioutput=True, store_resampling_result=True)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- classmethod is_better(val1, val2)[source]
Compare the quality between two values.
This method returns
True
if the first one is better than the second one.For most measures, a smaller value is “better” than a larger one (MSE etc.). But for some, like an R2-measure, higher values are better than smaller ones. This comparison method correctly handles this, regardless of the type of measure.
- SMALLER_IS_BETTER: ClassVar[bool] = True
Whether to minimize or maximize the measure.
- algo: MLAlgo
The machine learning algorithm whose quality we want to measure.
- class gemseo.mlearning.quality_measures.quality_measure.MLQualityMeasureFactory[source]
A factory of
MLQualityMeasure
.- Return type:
Any
- create(class_name, *args, **kwargs)
Return an instance of a class.
- Parameters:
- Returns:
The instance of the class.
- Raises:
TypeError – If the class cannot be instantiated.
- Return type:
- get_class(name)
Return a class from its name.
- Parameters:
name (str) – The name of the class.
- Returns:
The class.
- Raises:
ImportError – If the class is not available.
- Return type:
- get_default_option_values(name)
Return the constructor kwargs default values of a class.
- get_default_sub_option_values(name, **options)
Return the default values of the sub options of a class.
- Parameters:
- Returns:
The JSON grammar.
- Return type:
- get_library_name(name)
Return the name of the library related to the name of a class.
- get_options_doc(name)
Return the constructor documentation of a class.
- get_options_grammar(name, write_schema=False, schema_path=None)
Return the options JSON grammar for a class.
Attempt to generate a JSONGrammar from the arguments of the __init__ method of the class.
- Parameters:
- Returns:
The JSON grammar.
- Return type:
- get_sub_options_grammar(name, **options)
Return the JSONGrammar of the sub options of a class.
- Parameters:
- Returns:
The JSON grammar.
- Return type:
- is_available(name)
Return whether a class can be instantiated.
- update()
Search for the classes that can be instantiated.
- The search is done in the following order:
The fully qualified module names
The plugin packages
The packages from the environment variables
- Return type:
None
- PLUGIN_ENTRY_POINT: ClassVar[str] = 'gemseo_plugins'
The name of the setuptools entry point for declaring plugins.
Measures for supervised models¶
Introduction¶
Here is the baseclass to measure the error of machine learning algorithms.
The concept of error measure is implemented with the MLErrorMeasure
class and
proposes different evaluation methods.
- class gemseo.mlearning.quality_measures.error_measure.MLErrorMeasure(algo, fit_transformers=True)[source]
An abstract error measure for machine learning.
- Parameters:
algo (MLSupervisedAlgo) – A machine learning algorithm for supervised learning.
fit_transformers (bool) –
Whether to re-fit the transformers when using resampling techniques. If
False
, use the transformers of the algorithm fitted from the whole learning dataset.By default it is set to True.
- class EvaluationFunctionName(value)
The name of the function associated with an evaluation method.
- class EvaluationMethod(value)
The evaluation method.
- BOOTSTRAP = 'BOOTSTRAP'
The name of the method to evaluate the measure by bootstrap.
- KFOLDS = 'KFOLDS'
The name of the method to evaluate the measure by cross-validation.
- LEARN = 'LEARN'
The name of the method to evaluate the measure on the learning dataset.
- LOO = 'LOO'
The name of the method to evaluate the measure by leave-one-out.
- TEST = 'TEST'
The name of the method to evaluate the measure on a test dataset.
- compute_bootstrap_measure(n_replicates=100, samples=None, multioutput=True, seed=None, as_dict=False, store_resampling_result=False)[source]
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (None | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_cross_validation_measure(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, as_dict=False, store_resampling_result=False)[source]
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_learning_measure(samples=None, multioutput=True, as_dict=False)[source]
Evaluate the quality measure from the learning dataset.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_leave_one_out_measure(samples=None, multioutput=True, as_dict=False, store_resampling_result=False)[source]
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_test_measure(test_data, samples=None, multioutput=True, as_dict=False)[source]
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (IODataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_bootstrap(n_replicates=100, samples=None, multioutput=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (None | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_kfolds(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_learn(samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure from the learning dataset.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_loo(samples=None, multioutput=True, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_test(test_data, samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (IODataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- classmethod is_better(val1, val2)
Compare the quality between two values.
This method returns
True
if the first one is better than the second one.For most measures, a smaller value is “better” than a larger one (MSE etc.). But for some, like an R2-measure, higher values are better than smaller ones. This comparison method correctly handles this, regardless of the type of measure.
- SMALLER_IS_BETTER: ClassVar[bool] = True
Whether to minimize or maximize the measure.
- algo: MLSupervisedAlgo
The machine learning algorithm whose quality we want to measure.
The MSE¶
The mean squared error to measure the quality of a regression algorithm.
The mse_measure
module
implements the concept of mean squared error measures
for machine learning algorithms.
This concept is implemented through the MSEMeasure
class
and overloads the MLErrorMeasure._compute_measure()
method.
The mean squared error (MSE) is defined by
where \(\\hat{y}\) are the predictions and \(y\) are the data points.
- class gemseo.mlearning.quality_measures.mse_measure.MSEMeasure(algo, fit_transformers=True)[source]
The Mean Squared Error measure for machine learning.
- Parameters:
algo (MLRegressionAlgo) – A machine learning algorithm for regression.
fit_transformers (bool) –
Whether to re-fit the transformers when using resampling techniques. If
False
, use the transformers of the algorithm fitted from the whole learning dataset.By default it is set to True.
- class EvaluationFunctionName(value)
The name of the function associated with an evaluation method.
- class EvaluationMethod(value)
The evaluation method.
- BOOTSTRAP = 'BOOTSTRAP'
The name of the method to evaluate the measure by bootstrap.
- KFOLDS = 'KFOLDS'
The name of the method to evaluate the measure by cross-validation.
- LEARN = 'LEARN'
The name of the method to evaluate the measure on the learning dataset.
- LOO = 'LOO'
The name of the method to evaluate the measure by leave-one-out.
- TEST = 'TEST'
The name of the method to evaluate the measure on a test dataset.
- compute_bootstrap_measure(n_replicates=100, samples=None, multioutput=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (None | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_cross_validation_measure(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_learning_measure(samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure from the learning dataset.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_leave_one_out_measure(samples=None, multioutput=True, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_test_measure(test_data, samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (IODataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_bootstrap(n_replicates=100, samples=None, multioutput=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (None | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_kfolds(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_learn(samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure from the learning dataset.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_loo(samples=None, multioutput=True, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_test(test_data, samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (IODataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- classmethod is_better(val1, val2)
Compare the quality between two values.
This method returns
True
if the first one is better than the second one.For most measures, a smaller value is “better” than a larger one (MSE etc.). But for some, like an R2-measure, higher values are better than smaller ones. This comparison method correctly handles this, regardless of the type of measure.
- SMALLER_IS_BETTER: ClassVar[bool] = True
Whether to minimize or maximize the measure.
- algo: MLSupervisedAlgo
The machine learning algorithm whose quality we want to measure.
The R2¶
The R2 to measure the quality of a regression algorithm.
The r2_measure
module
implements the concept of R2 measures for machine learning algorithms.
This concept is implemented through the R2Measure
class
and overloads the MLErrorMeasure._compute_measure()
method.
The R2 is defined by
where \(\\hat{y}\) are the predictions, \(y\) are the data points and \(\\bar{y}\) is the mean of \(y\).
- class gemseo.mlearning.quality_measures.r2_measure.R2Measure(algo, fit_transformers=True)[source]
The R2 measure for machine learning.
- Parameters:
algo (MLRegressionAlgo) – A machine learning algorithm for regression.
fit_transformers (bool) –
Whether to re-fit the transformers when using resampling techniques. If
False
, use the transformers of the algorithm fitted from the whole learning dataset.By default it is set to True.
- class EvaluationFunctionName(value)
The name of the function associated with an evaluation method.
- class EvaluationMethod(value)
The evaluation method.
- BOOTSTRAP = 'BOOTSTRAP'
The name of the method to evaluate the measure by bootstrap.
- KFOLDS = 'KFOLDS'
The name of the method to evaluate the measure by cross-validation.
- LEARN = 'LEARN'
The name of the method to evaluate the measure on the learning dataset.
- LOO = 'LOO'
The name of the method to evaluate the measure by leave-one-out.
- TEST = 'TEST'
The name of the method to evaluate the measure on a test dataset.
- compute_bootstrap_measure(n_replicates=100, samples=None, multioutput=True, seed=None, as_dict=False, store_resampling_result=False)[source]
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (list[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
NoReturn
- compute_cross_validation_measure(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, as_dict=False, store_resampling_result=False)[source]
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (list[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_learning_measure(samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure from the learning dataset.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_leave_one_out_measure(samples=None, multioutput=True, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_test_measure(test_data, samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (IODataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_bootstrap(n_replicates=100, samples=None, multioutput=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (list[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
NoReturn
- evaluate_kfolds(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (list[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_learn(samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure from the learning dataset.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_loo(samples=None, multioutput=True, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_test(test_data, samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (IODataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- classmethod is_better(val1, val2)
Compare the quality between two values.
This method returns
True
if the first one is better than the second one.For most measures, a smaller value is “better” than a larger one (MSE etc.). But for some, like an R2-measure, higher values are better than smaller ones. This comparison method correctly handles this, regardless of the type of measure.
- SMALLER_IS_BETTER: ClassVar[bool] = False
Whether to minimize or maximize the measure.
- algo: MLSupervisedAlgo
The machine learning algorithm whose quality we want to measure.
The F1 (for classification)¶
The F1 to measure the quality of a classification algorithm.
The F1 is defined by
where \(\\mathit{precision}\) is the number of correctly predicted positives divided by the total number of predicted positives and \(\\mathit{recall}\) is the number of correctly predicted positives divided by the total number of true positives.
- class gemseo.mlearning.quality_measures.f1_measure.F1Measure(algo, fit_transformers=True)[source]
The F1 measure for machine learning.
- Parameters:
algo (MLClassificationAlgo) – A machine learning algorithm for classification.
fit_transformers (bool) –
Whether to re-fit the transformers when using resampling techniques. If
False
, use the transformers of the algorithm fitted from the whole learning dataset.By default it is set to True.
- class EvaluationFunctionName(value)
The name of the function associated with an evaluation method.
- class EvaluationMethod(value)
The evaluation method.
- BOOTSTRAP = 'BOOTSTRAP'
The name of the method to evaluate the measure by bootstrap.
- KFOLDS = 'KFOLDS'
The name of the method to evaluate the measure by cross-validation.
- LEARN = 'LEARN'
The name of the method to evaluate the measure on the learning dataset.
- LOO = 'LOO'
The name of the method to evaluate the measure by leave-one-out.
- TEST = 'TEST'
The name of the method to evaluate the measure on a test dataset.
- compute_bootstrap_measure(n_replicates=100, samples=None, multioutput=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (None | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_cross_validation_measure(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_learning_measure(samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure from the learning dataset.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_leave_one_out_measure(samples=None, multioutput=True, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_test_measure(test_data, samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (IODataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_bootstrap(n_replicates=100, samples=None, multioutput=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (None | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_kfolds(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_learn(samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure from the learning dataset.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_loo(samples=None, multioutput=True, as_dict=False, store_resampling_result=False)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_test(test_data, samples=None, multioutput=True, as_dict=False)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (IODataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
as_dict (bool) –
Whether the full quality measure is returned as a mapping from
algo.output names
to quality measures. Otherwise, the full quality measure as an array stacking these quality measures according to the order ofalgo.output_names
.By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- classmethod is_better(val1, val2)
Compare the quality between two values.
This method returns
True
if the first one is better than the second one.For most measures, a smaller value is “better” than a larger one (MSE etc.). But for some, like an R2-measure, higher values are better than smaller ones. This comparison method correctly handles this, regardless of the type of measure.
- SMALLER_IS_BETTER: ClassVar[bool] = False
Whether to minimize or maximize the measure.
- algo: MLClassificationAlgo
The machine learning algorithm whose quality we want to measure.
Measures for clustering models¶
Introduction¶
Here is the baseclass to measure the quality of machine learning algorithms.
The concept of clustering quality measure is implemented with the
MLClusteringMeasure
class and proposes different evaluation methods.
- class gemseo.mlearning.quality_measures.cluster_measure.MLClusteringMeasure(algo, fit_transformers=True)[source]
An abstract clustering measure for clustering algorithms.
- Parameters:
algo (MLClusteringAlgo) – A machine learning algorithm for clustering.
fit_transformers (bool) –
Whether to re-fit the transformers when using resampling techniques. If
False
, use the transformers of the algorithm fitted from the whole learning dataset.By default it is set to True.
- class EvaluationFunctionName(value)
The name of the function associated with an evaluation method.
- class EvaluationMethod(value)
The evaluation method.
- BOOTSTRAP = 'BOOTSTRAP'
The name of the method to evaluate the measure by bootstrap.
- KFOLDS = 'KFOLDS'
The name of the method to evaluate the measure by cross-validation.
- LEARN = 'LEARN'
The name of the method to evaluate the measure on the learning dataset.
- LOO = 'LOO'
The name of the method to evaluate the measure by leave-one-out.
- TEST = 'TEST'
The name of the method to evaluate the measure on a test dataset.
- abstract compute_bootstrap_measure(n_replicates=100, samples=None, multioutput=True, seed=None, store_resampling_result=False)
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- abstract compute_cross_validation_measure(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, store_resampling_result=False)
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_learning_measure(samples=None, multioutput=True)[source]
Evaluate the quality measure from the learning dataset.
- Parameters:
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_leave_one_out_measure(samples=None, multioutput=True, store_resampling_result=True)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- abstract compute_test_measure(test_data, samples=None, multioutput=True)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (Dataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_learn(samples=None, multioutput=True)
Evaluate the quality measure from the learning dataset.
- Parameters:
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_loo(samples=None, multioutput=True, store_resampling_result=True)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- classmethod is_better(val1, val2)
Compare the quality between two values.
This method returns
True
if the first one is better than the second one.For most measures, a smaller value is “better” than a larger one (MSE etc.). But for some, like an R2-measure, higher values are better than smaller ones. This comparison method correctly handles this, regardless of the type of measure.
- SMALLER_IS_BETTER: ClassVar[bool] = True
Whether to minimize or maximize the measure.
- algo: MLClusteringAlgo
The machine learning algorithm whose quality we want to measure.
- class gemseo.mlearning.quality_measures.cluster_measure.MLPredictiveClusteringMeasure(algo, fit_transformers=True)[source]
An abstract clustering measure for predictive clustering algorithms.
- Parameters:
algo (MLPredictiveClusteringAlgo) – A machine learning algorithm for predictive clustering.
fit_transformers (bool) –
Whether to re-fit the transformers when using resampling techniques. If
False
, use the transformers of the algorithm fitted from the whole learning dataset.By default it is set to True.
- class EvaluationFunctionName(value)
The name of the function associated with an evaluation method.
- class EvaluationMethod(value)
The evaluation method.
- BOOTSTRAP = 'BOOTSTRAP'
The name of the method to evaluate the measure by bootstrap.
- KFOLDS = 'KFOLDS'
The name of the method to evaluate the measure by cross-validation.
- LEARN = 'LEARN'
The name of the method to evaluate the measure on the learning dataset.
- LOO = 'LOO'
The name of the method to evaluate the measure by leave-one-out.
- TEST = 'TEST'
The name of the method to evaluate the measure on a test dataset.
- compute_bootstrap_measure(n_replicates=100, samples=None, multioutput=True, seed=None, store_resampling_result=False)[source]
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_cross_validation_measure(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, store_resampling_result=False)[source]
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_learning_measure(samples=None, multioutput=True)
Evaluate the quality measure from the learning dataset.
- Parameters:
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_leave_one_out_measure(samples=None, multioutput=True, store_resampling_result=True)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_test_measure(test_data, samples=None, multioutput=True)[source]
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (Dataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_bootstrap(n_replicates=100, samples=None, multioutput=True, seed=None, store_resampling_result=False)
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_kfolds(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, store_resampling_result=False)
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_learn(samples=None, multioutput=True)
Evaluate the quality measure from the learning dataset.
- Parameters:
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_loo(samples=None, multioutput=True, store_resampling_result=True)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_test(test_data, samples=None, multioutput=True)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (Dataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- classmethod is_better(val1, val2)
Compare the quality between two values.
This method returns
True
if the first one is better than the second one.For most measures, a smaller value is “better” than a larger one (MSE etc.). But for some, like an R2-measure, higher values are better than smaller ones. This comparison method correctly handles this, regardless of the type of measure.
- SMALLER_IS_BETTER: ClassVar[bool] = True
Whether to minimize or maximize the measure.
- algo: MLPredictiveClusteringAlgo
The machine learning algorithm whose quality we want to measure.
The silhouette¶
The silhouette coefficient to assess a clustering.
The silhouette coefficient \(s_i\) is a measure of how similar a point \(x_i\) is to its own cluster \(C_{k_i}\) (cohesion) compared to other clusters (separation):
with \(a_i=\frac{1}{|C_{k_i}|-1} \sum_{j\in C_{k_i}\setminus\{i\} } \|x_i-x_j\|\) and \(b_i = \underset{\ell=1,\cdots,K\atop{\ell\neq k_i}}{\min} \frac{1}{|C_\ell|} \sum_{j\in C_\ell} \|x_i-x_j\|\)
where
\(K\) is the number of clusters,
\(C_k\) are the indices of the points belonging to the cluster \(k\),
\(|C_k|\) is the size of \(C_k\).
- class gemseo.mlearning.quality_measures.silhouette_measure.SilhouetteMeasure(algo, fit_transformers=True)[source]
The silhouette coefficient to assess a clustering.
- Parameters:
algo (MLPredictiveClusteringAlgo) – A clustering algorithm.
fit_transformers (bool) –
Whether to re-fit the transformers when using resampling techniques. If
False
, use the transformers of the algorithm fitted from the whole learning dataset.By default it is set to True.
- class EvaluationFunctionName(value)
The name of the function associated with an evaluation method.
- class EvaluationMethod(value)
The evaluation method.
- BOOTSTRAP = 'BOOTSTRAP'
The name of the method to evaluate the measure by bootstrap.
- KFOLDS = 'KFOLDS'
The name of the method to evaluate the measure by cross-validation.
- LEARN = 'LEARN'
The name of the method to evaluate the measure on the learning dataset.
- LOO = 'LOO'
The name of the method to evaluate the measure by leave-one-out.
- TEST = 'TEST'
The name of the method to evaluate the measure on a test dataset.
- compute_bootstrap_measure(n_replicates=100, samples=None, multioutput=True, seed=None)[source]
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_cross_validation_measure(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None)[source]
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_learning_measure(samples=None, multioutput=True)
Evaluate the quality measure from the learning dataset.
- Parameters:
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_leave_one_out_measure(samples=None, multioutput=True, store_resampling_result=True)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- compute_test_measure(test_data, samples=None, multioutput=True)[source]
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (Dataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_bootstrap(n_replicates=100, samples=None, multioutput=True, seed=None, store_resampling_result=False)
Evaluate the quality measure using the bootstrap technique.
- Parameters:
n_replicates (int) –
The number of bootstrap replicates.
By default it is set to 100.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator will be used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of bootstrap replicates.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_kfolds(n_folds=5, samples=None, multioutput=True, randomize=True, seed=None, store_resampling_result=False)
Evaluate the quality measure using the k-folds technique.
- Parameters:
n_folds (int) –
The number of folds.
By default it is set to 5.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
randomize (bool) –
Whether to shuffle the samples before dividing them in folds.
By default it is set to True.
seed (int | None) – The seed of the pseudo-random number generator. If
None
, an unpredictable generator is used.store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of folds.
By default it is set to False.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_learn(samples=None, multioutput=True)
Evaluate the quality measure from the learning dataset.
- Parameters:
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_loo(samples=None, multioutput=True, store_resampling_result=True)
Evaluate the quality measure using the leave-one-out technique.
- Parameters:
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
store_resampling_result (bool) –
Whether to store the \(n\) machine learning algorithms and associated predictions generated by the resampling stage where \(n\) is the number of learning samples.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- evaluate_test(test_data, samples=None, multioutput=True)
Evaluate the quality measure using a test dataset.
- Parameters:
test_data (Dataset) – The test dataset.
samples (Sequence[int] | None) – The indices of the learning samples. If
None
, use the whole learning dataset.multioutput (bool) –
Whether the quality measure is returned for each component of the outputs. Otherwise, the average quality measure.
By default it is set to True.
- Returns:
The value of the quality measure.
- Return type:
MeasureType
- classmethod is_better(val1, val2)
Compare the quality between two values.
This method returns
True
if the first one is better than the second one.For most measures, a smaller value is “better” than a larger one (MSE etc.). But for some, like an R2-measure, higher values are better than smaller ones. This comparison method correctly handles this, regardless of the type of measure.
- SMALLER_IS_BETTER: ClassVar[bool] = False
Whether to minimize or maximize the measure.
- algo: MLPredictiveClusteringAlgo
The machine learning algorithm whose quality we want to measure.