<a id="skfolio-distance-spearmandistance"></a>

# skfolio.distance.SpearmanDistance

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### *class* skfolio.distance.SpearmanDistance(absolute=False, power=1)

Spearman Distance estimator.

The codependence is computed from the Spearman correlation to which is applied a
power and/or absolute transformation.
This codependence is then used to compute the distance matrix.
Some widely used distances are:

> * Standard angular distance = $\sqrt{0.5 \times (1 - corr)}$
> * Absolute angular distance = $\sqrt{1 - |corr|}$
> * Squared angular distance = $\sqrt{1 - corr^2}$
* **Parameters:**
  **absolute** *bool, default=False*
  : If this is set to True, the absolute transformation is applied to the
    correlation matrix.
    The default is `False`.

  **power** *float, default=1*
  : Exponent of the power transformation applied to the correlation matrix.
    The default value is `1`.
* **Attributes:**
  **codependence_** *ndarray of shape (n_assets, n_assets)*
  : Codependence matrix.

  **distance_** *ndarray of shape (n_assets, n_assets)*
  : Distance matrix.

  **n_features_in_** *int*
  : Number of assets seen during `fit`.

  **feature_names_in_** *ndarray of shape (`n_features_in_`,)*
  : Names of assets seen during `fit`. Defined only when `X`
    has assets names that are all strings.

### Methods

| [`fit`](#skfolio.distance.SpearmanDistance.fit)(X[, y])            | Fit the Spearman estimator.           |
|-------------------------------------------------------------------------|---------------------------------------|
| [`get_metadata_routing`](#skfolio.distance.SpearmanDistance.get_metadata_routing)() | Get metadata routing of this object.  |
| [`get_params`](#skfolio.distance.SpearmanDistance.get_params)([deep])     | Get parameters for this estimator.    |
| [`set_params`](#skfolio.distance.SpearmanDistance.set_params)(\*\*params) | Set the parameters of this estimator. |

### References

* <a id='r78e0a82fee0b-1'>**[1]**</a> “Building Diversified Portfolios that Outperform Out-of-Sample”, Lòpez de Prado, Journal of Portfolio Management (2016)

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#### fit(X, y=None)

Fit the Spearman estimator.

* **Parameters:**
  **X** *array-like of shape (n_observations, n_assets)*
  : Price returns of the assets.

  **y** *Ignored*
  : Not used, present for API consistency by convention.
* **Returns:**
  **self** *SpearmanDistance*
  : Fitted estimator.

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#### get_metadata_routing()

Get metadata routing of this object.

Please check [User Guide](https://skfolio.org/user_guide/metadata_routing.html.md#metadata-routing) on how the routing
mechanism works.

* **Returns:**
  **routing** *MetadataRequest*
  : A `MetadataRequest` encapsulating
    routing information.

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#### get_params(deep=True)

Get parameters for this estimator.

* **Parameters:**
  **deep** *bool, default=True*
  : If True, will return the parameters for this estimator and
    contained subobjects that are estimators.
* **Returns:**
  **params** *dict*
  : Parameter names mapped to their values.

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#### set_params(\*\*params)

Set the parameters of this estimator.

The method works on simple estimators as well as on nested objects
(such as `Pipeline`). The latter have
parameters of the form `<component>__<parameter>` so that it’s
possible to update each component of a nested object.

* **Parameters:**
  **\*\*params** *dict*
  : Estimator parameters.
* **Returns:**
  **self** *estimator instance*
  : Estimator instance.

