skfolio


Nameskfolio JSON
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SummaryPortfolio optimization built on top of scikit-learn
upload_time2024-11-17 21:58:00
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requires_python>=3.10
licenseBSD 3-Clause License Copyright (c) 2007-2023 The skfolio developers. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
keywords portfolio optimization optimisation finance asset allocation quantitative quant investment strategy machine-learning scikit-learn data-mining data-science
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===============
|icon|  skfolio
===============
.. |icon| image:: https://raw.githubusercontent.com/skfolio/skfolio/master/docs/_static/logo_animate.svg
    :width: 100
    :alt: skfolio documentation
    :target: https://skfolio.org/


**skfolio** is a Python library for portfolio optimization built on top of scikit-learn.
It offers a unified interface and tools compatible with scikit-learn to build, fine-tune,
and cross-validate portfolio models.

It is distributed under the open source 3-Clause BSD license.

.. image:: https://raw.githubusercontent.com/skfolio/skfolio/master/docs/_static/expo.jpg
    :target: https://skfolio.org/auto_examples/
    :alt: examples

Important links
~~~~~~~~~~~~~~~

- Documentation: https://skfolio.org/
- Examples: https://skfolio.org/auto_examples/
- User Guide: https://skfolio.org/user_guide/
- GitHub Repo: https://github.com/skfolio/skfolio/

Installation
~~~~~~~~~~~~

`skfolio` is available on PyPI and can be installed with::

    pip install -U skfolio



Dependencies
~~~~~~~~~~~~

`skfolio` requires:

- python (>= |PythonMinVersion|)
- numpy (>= |NumpyMinVersion|)
- scipy (>= |ScipyMinVersion|)
- pandas (>= |PandasMinVersion|)
- cvxpy (>= |CvxpyMinVersion|)
- scikit-learn (>= |SklearnMinVersion|)
- joblib (>= |JoblibMinVersion|)
- plotly (>= |PlotlyMinVersion|)

Key Concepts
~~~~~~~~~~~~
Since the development of modern portfolio theory by Markowitz (1952), mean-variance
optimization (MVO) has received considerable attention.

Unfortunately, it faces a number of shortcomings, including high sensitivity to the
input parameters (expected returns and covariance), weight concentration, high turnover,
and poor out-of-sample performance.

It is well known that naive allocation (1/N, inverse-vol, etc.) tends to outperform
MVO out-of-sample (DeMiguel, 2007).

Numerous approaches have been developed to alleviate these shortcomings (shrinkage,
additional constraints, regularization, uncertainty set, higher moments, Bayesian
approaches, coherent risk measures, left-tail risk optimization, distributionally robust
optimization, factor model, risk-parity, hierarchical clustering, ensemble methods,
pre-selection, etc.).

With this large number of methods, added to the fact that they can be composed together,
there is a need for a unified framework with a machine learning approach to perform
model selection, validation, and parameter tuning while reducing the risk of data
leakage and overfitting.

This framework is built on scikit-learn's API.

Available models
~~~~~~~~~~~~~~~~

* Portfolio Optimization:
    * Naive:
        * Equal-Weighted
        * Inverse-Volatility
        * Random (Dirichlet)
    * Convex:
        * Mean-Risk
        * Risk Budgeting
        * Maximum Diversification
        * Distributionally Robust CVaR
    * Clustering:
        * Hierarchical Risk Parity
        * Hierarchical Equal Risk Contribution
        * Nested Clusters Optimization
    * Ensemble Methods:
        * Stacking Optimization

* Expected Returns Estimator:
    * Empirical
    * Exponentially Weighted
    * Equilibrium
    * Shrinkage

* Covariance Estimator:
    * Empirical
    * Gerber
    * Denoising
    * Detoning
    * Exponentially Weighted
    * Ledoit-Wolf
    * Oracle Approximating Shrinkage
    * Shrunk Covariance
    * Graphical Lasso CV
    * Implied Covariance

* Distance Estimator:
    * Pearson Distance
    * Kendall Distance
    * Spearman Distance
    * Covariance Distance (based on any of the above covariance estimators)
    * Distance Correlation
    * Variation of Information

* Prior Estimator:
    * Empirical
    * Black & Litterman
    * Factor Model

* Uncertainty Set Estimator:
    * On Expected Returns:
        * Empirical
        * Circular Bootstrap
    * On Covariance:
        * Empirical
        * Circular bootstrap

* Pre-Selection Transformer:
    * Non-Dominated Selection
    * Select K Extremes (Best or Worst)
    * Drop Highly Correlated Assets

* Cross-Validation and Model Selection:
    * Compatible with all `sklearn` methods (KFold, etc.)
    * Walk Forward
    * Combinatorial Purged Cross-Validation

* Hyper-Parameter Tuning:
    * Compatible with all `sklearn` methods (GridSearchCV, RandomizedSearchCV)

* Risk Measures:
    * Variance
    * Semi-Variance
    * Mean Absolute Deviation
    * First Lower Partial Moment
    * CVaR (Conditional Value at Risk)
    * EVaR (Entropic Value at Risk)
    * Worst Realization
    * CDaR (Conditional Drawdown at Risk)
    * Maximum Drawdown
    * Average Drawdown
    * EDaR (Entropic Drawdown at Risk)
    * Ulcer Index
    * Gini Mean Difference
    * Value at Risk
    * Drawdown at Risk
    * Entropic Risk Measure
    * Fourth Central Moment
    * Fourth Lower Partial Moment
    * Skew
    * Kurtosis

* Optimization Features:
    * Minimize Risk
    * Maximize Returns
    * Maximize Utility
    * Maximize Ratio
    * Transaction Costs
    * Management Fees
    * L1 and L2 Regularization
    * Weight Constraints
    * Group Constraints
    * Budget Constraints
    * Tracking Error Constraints
    * Turnover Constraints

Quickstart
~~~~~~~~~~
The code snippets below are designed to introduce the functionality of `skfolio` so you
can start using it quickly. It follows the same API as scikit-learn.

Imports
-------
.. code-block:: python

    from sklearn import set_config
    from sklearn.model_selection import (
        GridSearchCV,
        KFold,
        RandomizedSearchCV,
        train_test_split,
    )
    from sklearn.pipeline import Pipeline
    from scipy.stats import loguniform

    from skfolio import RatioMeasure, RiskMeasure
    from skfolio.datasets import load_factors_dataset, load_sp500_dataset
    from skfolio.model_selection import (
        CombinatorialPurgedCV,
        WalkForward,
        cross_val_predict,
    )
    from skfolio.moments import (
        DenoiseCovariance,
        DetoneCovariance,
        EWMu,
        GerberCovariance,
        ShrunkMu,
    )
    from skfolio.optimization import (
        MeanRisk,
        NestedClustersOptimization,
        ObjectiveFunction,
        RiskBudgeting,
    )
    from skfolio.pre_selection import SelectKExtremes
    from skfolio.preprocessing import prices_to_returns
    from skfolio.prior import BlackLitterman, EmpiricalPrior, FactorModel
    from skfolio.uncertainty_set import BootstrapMuUncertaintySet

Load Dataset
------------
.. code-block:: python

    prices = load_sp500_dataset()

Train/Test split
----------------
.. code-block:: python

    X = prices_to_returns(prices)
    X_train, X_test = train_test_split(X, test_size=0.33, shuffle=False)


Minimum Variance
----------------
.. code-block:: python

    model = MeanRisk()

Fit on Training Set
-------------------
.. code-block:: python

    model.fit(X_train)

    print(model.weights_)

Predict on Test Set
-------------------
.. code-block:: python

    portfolio = model.predict(X_test)

    print(portfolio.annualized_sharpe_ratio)
    print(portfolio.summary())



Maximum Sortino Ratio
---------------------
.. code-block:: python

    model = MeanRisk(
        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,
        risk_measure=RiskMeasure.SEMI_VARIANCE,
    )


Denoised Covariance & Shrunk Expected Returns
---------------------------------------------
.. code-block:: python

    model = MeanRisk(
        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,
        prior_estimator=EmpiricalPrior(
            mu_estimator=ShrunkMu(), covariance_estimator=DenoiseCovariance()
        ),
    )

Uncertainty Set on Expected Returns
-----------------------------------
.. code-block:: python

    model = MeanRisk(
        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,
        mu_uncertainty_set_estimator=BootstrapMuUncertaintySet(),
    )


Weight Constraints & Transaction Costs
--------------------------------------
.. code-block:: python

    model = MeanRisk(
        min_weights={"AAPL": 0.10, "JPM": 0.05},
        max_weights=0.8,
        transaction_costs={"AAPL": 0.0001, "RRC": 0.0002},
        groups=[
            ["Equity"] * 3 + ["Fund"] * 5 + ["Bond"] * 12,
            ["US"] * 2 + ["Europe"] * 8 + ["Japan"] * 10,
        ],
        linear_constraints=[
            "Equity <= 0.5 * Bond",
            "US >= 0.1",
            "Europe >= 0.5 * Fund",
            "Japan <= 1",
        ],
    )
    model.fit(X_train)


Risk Parity on CVaR
-------------------
.. code-block:: python

    model = RiskBudgeting(risk_measure=RiskMeasure.CVAR)

Risk Parity & Gerber Covariance
-------------------------------
.. code-block:: python

    model = RiskBudgeting(
        prior_estimator=EmpiricalPrior(covariance_estimator=GerberCovariance())
    )

Nested Cluster Optimization with Cross-Validation and Parallelization
---------------------------------------------------------------------
.. code-block:: python

    model = NestedClustersOptimization(
        inner_estimator=MeanRisk(risk_measure=RiskMeasure.CVAR),
        outer_estimator=RiskBudgeting(risk_measure=RiskMeasure.VARIANCE),
        cv=KFold(),
        n_jobs=-1,
    )

Randomized Search of the L2 Norm
--------------------------------
.. code-block:: python

    randomized_search = RandomizedSearchCV(
        estimator=MeanRisk(),
        cv=WalkForward(train_size=252, test_size=60),
        param_distributions={
            "l2_coef": loguniform(1e-3, 1e-1),
        },
    )
    randomized_search.fit(X_train)

    best_model = randomized_search.best_estimator_

    print(best_model.weights_)


Grid Search on Embedded Parameters
----------------------------------
.. code-block:: python

    model = MeanRisk(
        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,
        risk_measure=RiskMeasure.VARIANCE,
        prior_estimator=EmpiricalPrior(mu_estimator=EWMu(alpha=0.2)),
    )

    print(model.get_params(deep=True))

    gs = GridSearchCV(
        estimator=model,
        cv=KFold(n_splits=5, shuffle=False),
        n_jobs=-1,
        param_grid={
            "risk_measure": [
                RiskMeasure.VARIANCE,
                RiskMeasure.CVAR,
                RiskMeasure.VARIANCE.CDAR,
            ],
            "prior_estimator__mu_estimator__alpha": [0.05, 0.1, 0.2, 0.5],
        },
    )
    gs.fit(X)

    best_model = gs.best_estimator_

    print(best_model.weights_)


Black & Litterman Model
-----------------------
.. code-block:: python

    views = ["AAPL - BBY == 0.03 ", "CVX - KO == 0.04", "MSFT == 0.06 "]
    model = MeanRisk(
        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,
        prior_estimator=BlackLitterman(views=views),
    )

Factor Model
------------
.. code-block:: python

    factor_prices = load_factors_dataset()

    X, y = prices_to_returns(prices, factor_prices)
    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33, shuffle=False)

    model = MeanRisk(prior_estimator=FactorModel())
    model.fit(X_train, y_train)

    print(model.weights_)

    portfolio = model.predict(X_test)

    print(portfolio.calmar_ratio)
    print(portfolio.summary())


Factor Model & Covariance Detoning
----------------------------------
.. code-block:: python

    model = MeanRisk(
        prior_estimator=FactorModel(
            factor_prior_estimator=EmpiricalPrior(covariance_estimator=DetoneCovariance())
        )
    )

Black & Litterman Factor Model
------------------------------
.. code-block:: python

    factor_views = ["MTUM - QUAL == 0.03 ", "VLUE == 0.06"]
    model = MeanRisk(
        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,
        prior_estimator=FactorModel(
            factor_prior_estimator=BlackLitterman(views=factor_views),
        ),
    )

Pre-Selection Pipeline
----------------------
.. code-block:: python

    set_config(transform_output="pandas")
    model = Pipeline(
        [
            ("pre_selection", SelectKExtremes(k=10, highest=True)),
            ("optimization", MeanRisk()),
        ]
    )
    model.fit(X_train)

    portfolio = model.predict(X_test)




K-fold Cross-Validation
-----------------------
.. code-block:: python

    model = MeanRisk()
    mmp = cross_val_predict(model, X_test, cv=KFold(n_splits=5))
    # mmp is the predicted MultiPeriodPortfolio object composed of 5 Portfolios (1 per testing fold)

    mmp.plot_cumulative_returns()
    print(mmp.summary())


Combinatorial Purged Cross-Validation
-------------------------------------
.. code-block:: python

    model = MeanRisk()

    cv = CombinatorialPurgedCV(n_folds=10, n_test_folds=2)

    print(cv.get_summary(X_train))

    population = cross_val_predict(model, X_train, cv=cv)

    population.plot_distribution(
        measure_list=[RatioMeasure.SHARPE_RATIO, RatioMeasure.SORTINO_RATIO]
    )
    population.plot_cumulative_returns()
    print(population.summary())


Recognition
~~~~~~~~~~~

We would like to thank all contributors behind our direct dependencies, such as
scikit-learn and cvxpy, but also the contributors of the following resources that were a
source of inspiration:

    * PyPortfolioOpt
    * Riskfolio-Lib
    * scikit-portfolio
    * microprediction
    * statsmodels
    * rsome
    * gautier.marti.ai


Citation
~~~~~~~~

If you use `skfolio` in a scientific publication, we would appreciate citations:

Bibtex entry::

    @misc{skfolio,
      author = {Delatte, Hugo and Nicolini, Carlo},
      title = {skfolio},
      year  = {2023},
      url   = {https://github.com/skfolio/skfolio}
    }


            

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|SklearnMinVersion| replace:: 1.5.0\n.. |JoblibMinVersion| replace:: 1.3.2\n.. |PlotlyMinVersion| replace:: 5.22.0\n\n\n===============\n|icon|  skfolio\n===============\n.. |icon| image:: https://raw.githubusercontent.com/skfolio/skfolio/master/docs/_static/logo_animate.svg\n    :width: 100\n    :alt: skfolio documentation\n    :target: https://skfolio.org/\n\n\n**skfolio** is a Python library for portfolio optimization built on top of scikit-learn.\nIt offers a unified interface and tools compatible with scikit-learn to build, fine-tune,\nand cross-validate portfolio models.\n\nIt is distributed under the open source 3-Clause BSD license.\n\n.. image:: https://raw.githubusercontent.com/skfolio/skfolio/master/docs/_static/expo.jpg\n    :target: https://skfolio.org/auto_examples/\n    :alt: examples\n\nImportant links\n~~~~~~~~~~~~~~~\n\n- Documentation: https://skfolio.org/\n- Examples: https://skfolio.org/auto_examples/\n- User Guide: https://skfolio.org/user_guide/\n- GitHub Repo: https://github.com/skfolio/skfolio/\n\nInstallation\n~~~~~~~~~~~~\n\n`skfolio` is available on PyPI and can be installed with::\n\n    pip install -U skfolio\n\n\n\nDependencies\n~~~~~~~~~~~~\n\n`skfolio` requires:\n\n- python (>= |PythonMinVersion|)\n- numpy (>= |NumpyMinVersion|)\n- scipy (>= |ScipyMinVersion|)\n- pandas (>= |PandasMinVersion|)\n- cvxpy (>= |CvxpyMinVersion|)\n- scikit-learn (>= |SklearnMinVersion|)\n- joblib (>= |JoblibMinVersion|)\n- plotly (>= |PlotlyMinVersion|)\n\nKey Concepts\n~~~~~~~~~~~~\nSince the development of modern portfolio theory by Markowitz (1952), mean-variance\noptimization (MVO) has received considerable attention.\n\nUnfortunately, it faces a number of shortcomings, including high sensitivity to the\ninput parameters (expected returns and covariance), weight concentration, high turnover,\nand poor out-of-sample performance.\n\nIt is well known that naive allocation (1/N, inverse-vol, etc.) tends to outperform\nMVO out-of-sample (DeMiguel, 2007).\n\nNumerous approaches have been developed to alleviate these shortcomings (shrinkage,\nadditional constraints, regularization, uncertainty set, higher moments, Bayesian\napproaches, coherent risk measures, left-tail risk optimization, distributionally robust\noptimization, factor model, risk-parity, hierarchical clustering, ensemble methods,\npre-selection, etc.).\n\nWith this large number of methods, added to the fact that they can be composed together,\nthere is a need for a unified framework with a machine learning approach to perform\nmodel selection, validation, and parameter tuning while reducing the risk of data\nleakage and overfitting.\n\nThis framework is built on scikit-learn's API.\n\nAvailable models\n~~~~~~~~~~~~~~~~\n\n* Portfolio Optimization:\n    * Naive:\n        * Equal-Weighted\n        * Inverse-Volatility\n        * Random (Dirichlet)\n    * Convex:\n        * Mean-Risk\n        * Risk Budgeting\n        * Maximum Diversification\n        * Distributionally Robust CVaR\n    * Clustering:\n        * Hierarchical Risk Parity\n        * Hierarchical Equal Risk Contribution\n        * Nested Clusters Optimization\n    * Ensemble Methods:\n        * Stacking Optimization\n\n* Expected Returns Estimator:\n    * Empirical\n    * Exponentially Weighted\n    * Equilibrium\n    * Shrinkage\n\n* Covariance Estimator:\n    * Empirical\n    * Gerber\n    * Denoising\n    * Detoning\n    * Exponentially Weighted\n    * Ledoit-Wolf\n    * Oracle Approximating Shrinkage\n    * Shrunk Covariance\n    * Graphical Lasso CV\n    * Implied Covariance\n\n* Distance Estimator:\n    * Pearson Distance\n    * Kendall Distance\n    * Spearman Distance\n    * Covariance Distance (based on any of the above covariance estimators)\n    * Distance Correlation\n    * Variation of Information\n\n* Prior Estimator:\n    * Empirical\n    * Black & Litterman\n    * Factor Model\n\n* Uncertainty Set Estimator:\n    * On Expected Returns:\n        * Empirical\n        * Circular Bootstrap\n    * On Covariance:\n        * Empirical\n        * Circular bootstrap\n\n* Pre-Selection Transformer:\n    * Non-Dominated Selection\n    * Select K Extremes (Best or Worst)\n    * Drop Highly Correlated Assets\n\n* Cross-Validation and Model Selection:\n    * Compatible with all `sklearn` methods (KFold, etc.)\n    * Walk Forward\n    * Combinatorial Purged Cross-Validation\n\n* Hyper-Parameter Tuning:\n    * Compatible with all `sklearn` methods (GridSearchCV, RandomizedSearchCV)\n\n* Risk Measures:\n    * Variance\n    * Semi-Variance\n    * Mean Absolute Deviation\n    * First Lower Partial Moment\n    * CVaR (Conditional Value at Risk)\n    * EVaR (Entropic Value at Risk)\n    * Worst Realization\n    * CDaR (Conditional Drawdown at Risk)\n    * Maximum Drawdown\n    * Average Drawdown\n    * EDaR (Entropic Drawdown at Risk)\n    * Ulcer Index\n    * Gini Mean Difference\n    * Value at Risk\n    * Drawdown at Risk\n    * Entropic Risk Measure\n    * Fourth Central Moment\n    * Fourth Lower Partial Moment\n    * Skew\n    * Kurtosis\n\n* Optimization Features:\n    * Minimize Risk\n    * Maximize Returns\n    * Maximize Utility\n    * Maximize Ratio\n    * Transaction Costs\n    * Management Fees\n    * L1 and L2 Regularization\n    * Weight Constraints\n    * Group Constraints\n    * Budget Constraints\n    * Tracking Error Constraints\n    * Turnover Constraints\n\nQuickstart\n~~~~~~~~~~\nThe code snippets below are designed to introduce the functionality of `skfolio` so you\ncan start using it quickly. It follows the same API as scikit-learn.\n\nImports\n-------\n.. code-block:: python\n\n    from sklearn import set_config\n    from sklearn.model_selection import (\n        GridSearchCV,\n        KFold,\n        RandomizedSearchCV,\n        train_test_split,\n    )\n    from sklearn.pipeline import Pipeline\n    from scipy.stats import loguniform\n\n    from skfolio import RatioMeasure, RiskMeasure\n    from skfolio.datasets import load_factors_dataset, load_sp500_dataset\n    from skfolio.model_selection import (\n        CombinatorialPurgedCV,\n        WalkForward,\n        cross_val_predict,\n    )\n    from skfolio.moments import (\n        DenoiseCovariance,\n        DetoneCovariance,\n        EWMu,\n        GerberCovariance,\n        ShrunkMu,\n    )\n    from skfolio.optimization import (\n        MeanRisk,\n        NestedClustersOptimization,\n        ObjectiveFunction,\n        RiskBudgeting,\n    )\n    from skfolio.pre_selection import SelectKExtremes\n    from skfolio.preprocessing import prices_to_returns\n    from skfolio.prior import BlackLitterman, EmpiricalPrior, FactorModel\n    from skfolio.uncertainty_set import BootstrapMuUncertaintySet\n\nLoad Dataset\n------------\n.. code-block:: python\n\n    prices = load_sp500_dataset()\n\nTrain/Test split\n----------------\n.. code-block:: python\n\n    X = prices_to_returns(prices)\n    X_train, X_test = train_test_split(X, test_size=0.33, shuffle=False)\n\n\nMinimum Variance\n----------------\n.. code-block:: python\n\n    model = MeanRisk()\n\nFit on Training Set\n-------------------\n.. code-block:: python\n\n    model.fit(X_train)\n\n    print(model.weights_)\n\nPredict on Test Set\n-------------------\n.. code-block:: python\n\n    portfolio = model.predict(X_test)\n\n    print(portfolio.annualized_sharpe_ratio)\n    print(portfolio.summary())\n\n\n\nMaximum Sortino Ratio\n---------------------\n.. code-block:: python\n\n    model = MeanRisk(\n        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,\n        risk_measure=RiskMeasure.SEMI_VARIANCE,\n    )\n\n\nDenoised Covariance & Shrunk Expected Returns\n---------------------------------------------\n.. code-block:: python\n\n    model = MeanRisk(\n        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,\n        prior_estimator=EmpiricalPrior(\n            mu_estimator=ShrunkMu(), covariance_estimator=DenoiseCovariance()\n        ),\n    )\n\nUncertainty Set on Expected Returns\n-----------------------------------\n.. code-block:: python\n\n    model = MeanRisk(\n        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,\n        mu_uncertainty_set_estimator=BootstrapMuUncertaintySet(),\n    )\n\n\nWeight Constraints & Transaction Costs\n--------------------------------------\n.. code-block:: python\n\n    model = MeanRisk(\n        min_weights={\"AAPL\": 0.10, \"JPM\": 0.05},\n        max_weights=0.8,\n        transaction_costs={\"AAPL\": 0.0001, \"RRC\": 0.0002},\n        groups=[\n            [\"Equity\"] * 3 + [\"Fund\"] * 5 + [\"Bond\"] * 12,\n            [\"US\"] * 2 + [\"Europe\"] * 8 + [\"Japan\"] * 10,\n        ],\n        linear_constraints=[\n            \"Equity <= 0.5 * Bond\",\n            \"US >= 0.1\",\n            \"Europe >= 0.5 * Fund\",\n            \"Japan <= 1\",\n        ],\n    )\n    model.fit(X_train)\n\n\nRisk Parity on CVaR\n-------------------\n.. code-block:: python\n\n    model = RiskBudgeting(risk_measure=RiskMeasure.CVAR)\n\nRisk Parity & Gerber Covariance\n-------------------------------\n.. code-block:: python\n\n    model = RiskBudgeting(\n        prior_estimator=EmpiricalPrior(covariance_estimator=GerberCovariance())\n    )\n\nNested Cluster Optimization with Cross-Validation and Parallelization\n---------------------------------------------------------------------\n.. code-block:: python\n\n    model = NestedClustersOptimization(\n        inner_estimator=MeanRisk(risk_measure=RiskMeasure.CVAR),\n        outer_estimator=RiskBudgeting(risk_measure=RiskMeasure.VARIANCE),\n        cv=KFold(),\n        n_jobs=-1,\n    )\n\nRandomized Search of the L2 Norm\n--------------------------------\n.. code-block:: python\n\n    randomized_search = RandomizedSearchCV(\n        estimator=MeanRisk(),\n        cv=WalkForward(train_size=252, test_size=60),\n        param_distributions={\n            \"l2_coef\": loguniform(1e-3, 1e-1),\n        },\n    )\n    randomized_search.fit(X_train)\n\n    best_model = randomized_search.best_estimator_\n\n    print(best_model.weights_)\n\n\nGrid Search on Embedded Parameters\n----------------------------------\n.. code-block:: python\n\n    model = MeanRisk(\n        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,\n        risk_measure=RiskMeasure.VARIANCE,\n        prior_estimator=EmpiricalPrior(mu_estimator=EWMu(alpha=0.2)),\n    )\n\n    print(model.get_params(deep=True))\n\n    gs = GridSearchCV(\n        estimator=model,\n        cv=KFold(n_splits=5, shuffle=False),\n        n_jobs=-1,\n        param_grid={\n            \"risk_measure\": [\n                RiskMeasure.VARIANCE,\n                RiskMeasure.CVAR,\n                RiskMeasure.VARIANCE.CDAR,\n            ],\n            \"prior_estimator__mu_estimator__alpha\": [0.05, 0.1, 0.2, 0.5],\n        },\n    )\n    gs.fit(X)\n\n    best_model = gs.best_estimator_\n\n    print(best_model.weights_)\n\n\nBlack & Litterman Model\n-----------------------\n.. code-block:: python\n\n    views = [\"AAPL - BBY == 0.03 \", \"CVX - KO == 0.04\", \"MSFT == 0.06 \"]\n    model = MeanRisk(\n        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,\n        prior_estimator=BlackLitterman(views=views),\n    )\n\nFactor Model\n------------\n.. code-block:: python\n\n    factor_prices = load_factors_dataset()\n\n    X, y = prices_to_returns(prices, factor_prices)\n    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33, shuffle=False)\n\n    model = MeanRisk(prior_estimator=FactorModel())\n    model.fit(X_train, y_train)\n\n    print(model.weights_)\n\n    portfolio = model.predict(X_test)\n\n    print(portfolio.calmar_ratio)\n    print(portfolio.summary())\n\n\nFactor Model & Covariance Detoning\n----------------------------------\n.. code-block:: python\n\n    model = MeanRisk(\n        prior_estimator=FactorModel(\n            factor_prior_estimator=EmpiricalPrior(covariance_estimator=DetoneCovariance())\n        )\n    )\n\nBlack & Litterman Factor Model\n------------------------------\n.. code-block:: python\n\n    factor_views = [\"MTUM - QUAL == 0.03 \", \"VLUE == 0.06\"]\n    model = MeanRisk(\n        objective_function=ObjectiveFunction.MAXIMIZE_RATIO,\n        prior_estimator=FactorModel(\n            factor_prior_estimator=BlackLitterman(views=factor_views),\n        ),\n    )\n\nPre-Selection Pipeline\n----------------------\n.. code-block:: python\n\n    set_config(transform_output=\"pandas\")\n    model = Pipeline(\n        [\n            (\"pre_selection\", SelectKExtremes(k=10, highest=True)),\n            (\"optimization\", MeanRisk()),\n        ]\n    )\n    model.fit(X_train)\n\n    portfolio = model.predict(X_test)\n\n\n\n\nK-fold Cross-Validation\n-----------------------\n.. code-block:: python\n\n    model = MeanRisk()\n    mmp = cross_val_predict(model, X_test, cv=KFold(n_splits=5))\n    # mmp is the predicted MultiPeriodPortfolio object composed of 5 Portfolios (1 per testing fold)\n\n    mmp.plot_cumulative_returns()\n    print(mmp.summary())\n\n\nCombinatorial Purged Cross-Validation\n-------------------------------------\n.. code-block:: python\n\n    model = MeanRisk()\n\n    cv = CombinatorialPurgedCV(n_folds=10, n_test_folds=2)\n\n    print(cv.get_summary(X_train))\n\n    population = cross_val_predict(model, X_train, cv=cv)\n\n    population.plot_distribution(\n        measure_list=[RatioMeasure.SHARPE_RATIO, RatioMeasure.SORTINO_RATIO]\n    )\n    population.plot_cumulative_returns()\n    print(population.summary())\n\n\nRecognition\n~~~~~~~~~~~\n\nWe would like to thank all contributors behind our direct dependencies, such as\nscikit-learn and cvxpy, but also the contributors of the following resources that were a\nsource of inspiration:\n\n    * PyPortfolioOpt\n    * Riskfolio-Lib\n    * scikit-portfolio\n    * microprediction\n    * statsmodels\n    * rsome\n    * gautier.marti.ai\n\n\nCitation\n~~~~~~~~\n\nIf you use `skfolio` in a scientific publication, we would appreciate citations:\n\nBibtex entry::\n\n    @misc{skfolio,\n      author = {Delatte, Hugo and Nicolini, Carlo},\n      title = {skfolio},\n      year  = {2023},\n      url   = {https://github.com/skfolio/skfolio}\n    }\n\n",
    "bugtrack_url": null,
    "license": "BSD 3-Clause License  Copyright (c) 2007-2023 The skfolio developers. All rights reserved.  Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:  * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.  * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.  * Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS \"AS IS\" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.",
    "summary": "Portfolio optimization built on top of scikit-learn",
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        "Documentation": "https://www.skfolio.org",
        "Repository": "https://github.com/skfolio/skfolio",
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