gemseo / problems / dataset

rosenbrock module

Rosenbrock dataset

This Dataset contains 100 evaluations of the well-known Rosenbrock function:

\[f(x,y)=(1-x)^2+100(y-x^2)^2\]

This function is known for its global minimum at point (1,1), its banana valley and the difficulty to reach its minimum.

This Dataset is based on a full-factorial design of experiments.

More information about the Rosenbrock function

class gemseo.problems.dataset.rosenbrock.RosenbrockDataset(name='Rosenbrock', by_group=True, n_samples=100, categorize=True, opt_naming=True)[source]

Bases: gemseo.core.dataset.Dataset

Rosenbrock dataset parametrization.

Parameters
  • name (str) –

    The name of the dataset.

    By default it is set to Rosenbrock.

  • by_group (bool) –

    Whether to store the data by group. Otherwise, store them by variables.

    By default it is set to True.

  • n_samples (int) –

    The number of samples.

    By default it is set to 100.

  • categorize (bool) –

    Whether to distinguish between the different groups of variables.

    By default it is set to True.

  • opt_naming (bool) –

    Whether to use an optimization naming.

    By default it is set to True.

Return type

None

add_group(group, data, variables=None, sizes=None, pattern=None, cache_as_input=True)

Add data related to a group.

Parameters
  • group (str) – The name of the group of data to be added.

  • data (ndarray) – The data to be added.

  • variables (list[str] | None) –

    The names of the variables. If None, use default names based on a pattern.

    By default it is set to None.

  • sizes (dict[str, int] | None) –

    The sizes of the variables. If None, assume that all the variables have a size equal to 1.

    By default it is set to None.

  • pattern (str | None) –

    The name of the variable to be used as a pattern when variables is None. If None, use the Dataset.DEFAULT_NAMES for this group if it exists. Otherwise, use the group name.

    By default it is set to None.

  • cache_as_input (bool) –

    If True, cache these data as inputs when the cache is exported to a cache.

    By default it is set to True.

Return type

None

add_variable(name, data, group='parameters', cache_as_input=True)

Add data related to a variable.

Parameters
  • name (str) – The name of the variable to be stored.

  • data (numpy.ndarray) – The data to be stored.

  • group (str) –

    The name of the group related to this variable.

    By default it is set to parameters.

  • cache_as_input (bool) –

    If True, cache these data as inputs when the cache is exported to a cache.

    By default it is set to True.

Return type

None

compare(value_1, logical_operator, value_2, component_1=0, component_2=0)

Compare either a variable and a value or a variable and another variable.

Parameters
  • value_1 (str | float) – The first value, either a variable name or a numeric value.

  • logical_operator (str) – The logical operator, either “==”, “<”, “<=”, “>” or “>=”.

  • value_2 (str | float) – The second value, either a variable name or a numeric value.

  • component_1 (int) –

    If value_1 is a variable name, component_1 corresponds to its component used in the comparison.

    By default it is set to 0.

  • component_2 (int) –

    If value_2 is a variable name, component_2 corresponds to its component used in the comparison.

    By default it is set to 0.

Returns

Whether the comparison is valid for the different entries.

Return type

ndarray

export_to_cache(inputs=None, outputs=None, cache_type='MemoryFullCache', cache_hdf_file=None, cache_hdf_node_name=None, **options)

Export the dataset to a cache.

Parameters
  • inputs (Iterable[str] | None) –

    The names of the inputs to cache. If None, use all inputs.

    By default it is set to None.

  • outputs (Iterable[str] | None) –

    The names of the outputs to cache. If None, use all outputs.

    By default it is set to None.

  • cache_type (str) –

    The type of cache to use.

    By default it is set to MemoryFullCache.

  • cache_hdf_file (str | None) –

    The name of the HDF file to store the data. Required if the type of the cache is ‘HDF5Cache’.

    By default it is set to None.

  • cache_hdf_node_name (str | None) –

    The name of the HDF node to store the discipline. If None, use the name of the dataset.

    By default it is set to None.

Returns

A cache containing the dataset.

Return type

AbstractFullCache

export_to_dataframe(copy=True, variable_names=None)

Export the dataset to a pandas Dataframe.

Parameters
  • copy (bool) –

    If True, copy data. Otherwise, use reference.

    By default it is set to True.

  • variable_names (Sequence[str] | None) –

    By default it is set to None.

Returns

A pandas DataFrame containing the dataset.

Return type

DataFrame

static find(comparison)

Find the entries for which a comparison is satisfied.

This search uses a boolean 1D array whose length is equal to the length of the dataset.

Parameters

comparison (numpy.ndarray) – A boolean vector whose length is equal to the number of samples.

Returns

The indices of the entries for which the comparison is satisfied.

Return type

list[int]

get_all_data(by_group=True, as_dict=False)

Get all the data stored in the dataset.

The data can be returned either as a dictionary indexed by the names of the variables, or as an array concatenating them, accompanied by the names and sizes of the variables.

The data can also be classified by groups of variables.

Parameters
  • by_group

    If True, sort the data by group.

    By default it is set to True.

  • as_dict

    If True, return the data as a dictionary.

    By default it is set to False.

Returns

All the data stored in the dataset.

Return type

Union[Dict[str, Union[Dict[str, numpy.ndarray], numpy.ndarray]], Tuple[Union[numpy.ndarray, Dict[str, numpy.ndarray]], List[str], Dict[str, int]]]

get_available_plots()

Return the available plot methods.

Return type

list[str]

get_column_names(variables=None, as_tuple=False, start=0)

Return the names of the columns of the dataset.

If dim(x)=1, its column name is ‘x’ while if dim(y)=2, its column names are either ‘x_0’ and ‘x_1’ or ColumnName(group_name, ‘x’, ‘0’) and ColumnName(group_name, ‘x’, ‘1’).

Parameters
  • variables (Sequence[str]) –

    The names of the variables. If None, use all the variables.

    By default it is set to None.

  • as_tuple (bool) –

    If True, return the names as named tuples. otherwise, return the names as strings.

    By default it is set to False.

  • start (int) –

    The first index for the components of a variable. E.g. with ‘0’: ‘x_0’, ‘x_1’, …

    By default it is set to 0.

Returns

The names of the columns of the dataset.

Return type

list[str | ColumnName]

get_data_by_group(group, as_dict=False)

Get the data for a specific group name.

Parameters
  • group (str) – The name of the group.

  • as_dict (bool) –

    If True, return values as dictionary.

    By default it is set to False.

Returns

The data related to the group.

Return type

ndarray | dict[str, ndarray]

get_data_by_names(names, as_dict=True)

Get the data for specific names of variables.

Parameters
  • names (str | Iterable[str]) – The names of the variables.

  • as_dict (bool) –

    If True, return values as dictionary.

    By default it is set to True.

Returns

The data related to the variables.

Return type

ndarray | dict[str, ndarray]

get_group(variable_name)

Get the name of the group that contains a variable.

Parameters

variable_name (str) – The name of the variable.

Returns

The group to which the variable belongs.

Return type

str

get_names(group_name)

Get the names of the variables of a group.

Parameters

group_name (str) – The name of the group.

Returns

The names of the variables of the group.

Return type

list[str]

get_normalized_dataset(excluded_variables=None, excluded_groups=None)

Get a normalized copy of the dataset.

Parameters
  • excluded_variables (Sequence[str] | None) –

    The names of the variables not to be normalized. If None, normalize all the variables.

    By default it is set to None.

  • excluded_groups (Sequence[str] | None) –

    The names of the groups not to be normalized. If None, normalize all the groups.

    By default it is set to None.

Returns

A normalized dataset.

Return type

Dataset

is_empty()

Check if the dataset is empty.

Returns

Whether the dataset is empty.

Return type

bool

is_group(name)

Check if a name is a group name.

Parameters

name (str) – A name of a group.

Returns

Whether the name is a group name.

Return type

bool

is_nan()

Check if an entry contains NaN.

Returns

Whether any entries are NaN or not.

Return type

numpy.ndarray

is_variable(name)

Check if a name is a variable name.

Parameters

name (str) – A name of a variable.

Returns

Whether the name is a variable name.

Return type

bool

n_variables_by_group(group)

The number of variables for a group.

Parameters

group (str) – The name of a group.

Returns

The group dimension.

Return type

int

plot(name, show=True, save=False, file_path=None, directory_path=None, file_name=None, file_format=None, properties=None, **options)

Plot the dataset from a DatasetPlot.

See Dataset.get_available_plots()

Parameters
  • name (str) – The name of the post-processing, which is the name of a class inheriting from DatasetPlot.

  • show (bool) –

    If True, display the figure.

    By default it is set to True.

  • save (bool) –

    If True, save the figure.

    By default it is set to False.

  • file_path (str | Path | None) –

    The path of the file to save the figures. If None, create a file path from directory_path, file_name and file_format.

    By default it is set to None.

  • directory_path (str | Path | None) –

    The path of the directory to save the figures. If None, use the current working directory.

    By default it is set to None.

  • file_name (str | None) –

    The name of the file to save the figures. If None, use a default one generated by the post-processing.

    By default it is set to None.

  • file_format (str | None) –

    A file format, e.g. ‘png’, ‘pdf’, ‘svg’, … If None, use a default file extension.

    By default it is set to None.

  • properties (Mapping[str, DatasetPlotPropertyType] | None) –

    The general properties of a DatasetPlot.

    By default it is set to None.

  • **options – The options for the post-processing.

Return type

DatasetPlot

remove(entries)

Remove entries.

Parameters

entries (list[int] | ndarray) – The entries to be removed, either indices or a boolean 1D array whose length is equal to the length of the dataset and elements to delete are coded True.

Return type

None

rename_variable(name, new_name)

Rename a variable.

Parameters
  • name (str) – The name of the variable.

  • new_name (str) – The new name of the variable.

Return type

None

set_from_array(data, variables=None, sizes=None, groups=None, default_name=None)

Set the dataset from an array.

Parameters
  • data (ndarray) – The data to be stored.

  • variables (list[str] | None) –

    The names of the variables. If None, use one default name per column of the array based on the pattern ‘default_name’.

    By default it is set to None.

  • sizes (dict[str, int] | None) –

    The sizes of the variables. If None, assume that all the variables have a size equal to 1.

    By default it is set to None.

  • groups (dict[str, str] | None) –

    The groups of the variables. If None, use Dataset.DEFAULT_GROUP for all the variables.

    By default it is set to None.

  • default_name (str | None) –

    The name of the variable to be used as a pattern when variables is None. If None, use the Dataset.DEFAULT_NAMES for this group if it exists. Otherwise, use the group name.

    By default it is set to None.

Return type

None

set_from_file(filename, variables=None, sizes=None, groups=None, delimiter=',', header=True)

Set the dataset from a file.

Parameters
  • filename (Path | str) – The name of the file containing the data.

  • variables (list[str] | None) –

    The names of the variables. If None and header is True, read the names from the first line of the file. If None and header is False, use default names based on the patterns the Dataset.DEFAULT_NAMES associated with the different groups.

    By default it is set to None.

  • sizes (dict[str, int] | None) –

    The sizes of the variables. If None, assume that all the variables have a size equal to 1.

    By default it is set to None.

  • groups (dict[str, str] | None) –

    The groups of the variables. If None, use Dataset.DEFAULT_GROUP for all the variables.

    By default it is set to None.

  • delimiter (str) –

    The field delimiter.

    By default it is set to ,.

  • header (bool) –

    If True, read the names of the variables on the first line of the file.

    By default it is set to True.

Return type

None

set_metadata(name, value)

Set a metadata attribute.

Parameters
  • name (str) – The name of the metadata attribute.

  • value (Any) – The value of the metadata attribute.

Return type

None

transform_variable(name, transformation)

Transform a variable.

Parameters
  • name (str) – The name of the variable, e.g. "foo".

  • transformation (Callable[[numpy.ndarray], numpy.ndarray]) – The function transforming the variable, e.g. "lambda x: np.exp(x)".

Return type

None

DEFAULT_GROUP: ClassVar[str] = 'parameters'

The default name to group the variables.

DEFAULT_NAMES: ClassVar[dict[str, str]] = {'design_parameters': 'dp', 'functions': 'func', 'inputs': 'in', 'outputs': 'out', 'parameters': 'x'}

The default variable names for the different groups.

DESIGN_GROUP: ClassVar[str] = 'design_parameters'

The group name for the design variables of an OptimizationProblem.

FUNCTION_GROUP: ClassVar[str] = 'functions'

The group name for the functions of an OptimizationProblem.

GRADIENT_GROUP: ClassVar[str] = 'gradients'

The group name for the gradients.

HDF5_CACHE: ClassVar[str] = 'HDF5Cache'

The name of the HDF5Cache.

INPUT_GROUP: ClassVar[str] = 'inputs'

The group name for the input variables.

MEMORY_FULL_CACHE: ClassVar[str] = 'MemoryFullCache'

The name of the MemoryFullCache.

OUTPUT_GROUP: ClassVar[str] = 'outputs'

The group name for the output variables.

PARAMETER_GROUP: ClassVar[str] = 'parameters'

The group name for the parameters.

property columns_names: list[str | ColumnName]

The names of the columns of the dataset.

data: dict[str, ndarray]

The data stored by variable names or group names.

The values are NumPy arrays whose columns are features and rows are observations.

dimension: dict[str, int]

The dimensions of the groups of variables.

property groups: list[str]

The sorted names of the groups of variables.

length: int

The length of the dataset.

metadata: dict[str, Any]

The metadata used to store any kind of information that are not variables,

E.g. the mesh associated with a multi-dimensional variable.

property n_samples: int

The number of samples.

property n_variables: int

The number of variables.

name: str

The name of the dataset.

property row_names: list[str]

The names of the rows.

sizes: dict[str, int]

The sizes of the variables.

strings_encoding: dict[str, dict[int, int]]

The encoding structure mapping the values of the string variables with integers.

The keys are the names of the variables and the values are dictionaries whose keys are the components of the variables and the values are the integer values.

property variables: list[str]

The sorted names of the variables.