SLEP016: parameter spaces on estimators

slep016/proposal.rst

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+.. _slep_016:
+
+=======================================
+SLEP016: Parameter Spaces on Estimators
+=======================================
+
+:Author: Joel Nothman
+:Status: Draft
+:Type: Standards Track
+:Created: 2021-11-30
+
+Abstract
+--------
+
+This proposes to simplify the specification of parameter searches by allowing
+the user to store candidate values for each parameter on the corresponding estimator.
+The ``*SearchCV`` estimators would then have a setting to construct the
+parameter grid or distribution from the supplied estimator.
+
+Detailed description
+--------------------
+
+The ability to set and get parameters from deep within nested estimators using
+``get_params`` and ``set_params`` is powerful, but the specification of
+parameter spaces to search can be very unfriendly for users.
+In particular, the structure of the parameter grid specification needs to
+reflect the structure of the estimator, with every path explicitly specified by
+``__``-separated elements.
+
+For example, `one example <https://github.com/scikit-learn/scikit-learn/blob/d4d5f8c/examples/compose/plot_compare_reduction.py>`__
+proposes searching over alternative preprocessing steps in a Pipeline and their
+parameters, as well as the parameters of the downstream classifier.
+
+::
+
+    from sklearn.pipeline import Pipeline
+    from sklearn.svm import LinearSVC
+    from sklearn.decomposition import PCA, NMF
+    from sklearn.feature_selection import SelectKBest, chi2
+
+    pipe = Pipeline(
+        [
+            # the reduce_dim stage is populated by the param_grid
+            ("reduce_dim", "passthrough"),
+            ("classify", LinearSVC(dual=False, max_iter=10000)),
+        ]
+    )
+
+    N_FEATURES_OPTIONS = [2, 4, 8]
+    C_OPTIONS = [1, 10, 100, 1000]
+    param_grid = [
+        {
+            "reduce_dim": [PCA(iterated_power=7)],
+            "reduce_dim__n_components": N_FEATURES_OPTIONS,
+            "classify__C": C_OPTIONS,
+        },
+        {
+            "reduce_dim": [SelectKBest(chi2)],
+            "reduce_dim__k": N_FEATURES_OPTIONS,
+            "classify__C": C_OPTIONS,
+        },
+    ]
+
+Here we see that in order to specify the search space for the 'k' parameter of
+``SelectKBest``, the user needs to identify its fully qualified path from the
+root estimator (``pipe``) that will be passed to the grid search estimator,
+i.e. ``reduce_dim__k``.  To construct this fully qualified parameter name, the
+user must know that the ``SelectKBest`` estimator resides in a ``Pipeline``
+step named ``reduce_dim`` and that the Pipeline is not further nested in
+another estimator. Changing the step identifier ``reduce_dim`` would entail
+a change to 5 lines in the above code snippet.
+
+We also see that the options for ``classify__C`` need to be specified twice.
+It should be possible to specify it only once. The use of a list of two separate
+dicts of parameter spaces is similarly cumbersome: the only reason the
+parameter space is duplicated is to handle the alternation of one step in the
+pipeline; for all other steps, it makes sense for the candidate parameter
+space to remain constant regardless of whether ``reduce_dim`` is a feature
+selector or a PCA.
+
+This SLEP proposes to add a methods to estimators that allow the user
+to specify candidates or distributions for local parameters on a specific
+estimator estimator instance::
+
+    svc = LinearSVC(dual=False, max_iter=10000).set_grid(C=C_OPTIONS)
+    pipe = Pipeline(
+        [
+            # the reduce_dim stage is populated by the param_grid
+            ("reduce_dim", "passthrough"),
+            ("classify", svc),
+        ]
+    ).set_grid(reduce_dim=[
+        PCA(iterated_power=7).set_grid(n_components=N_FEATURES_OPTIONS),
+        SelectKBest().set_grid(k=N_FEATURES_OPTIONS),
+    ])
+
+With this use of ``set_grid``, ``GridSearchCV(pipe)`` would not need the
+parameter grid to be specified explicitly. Instead, a recursive descent through
+``pipe``'s parameters allows it to reconstruct exactly the grid used in the
+example above.
+
+Such functionality therefore allows users to:
+
+* easily define a parameter space together with the estimator they relate to,
+  improving code cohesion.
+* establish a library of estimator configurations for reuse, reducing repeated
+  code, and reducing setup costs for auto-ML approaches. As such, this change
+  helps to enable :issue:`5004`.
+* avoid work modifying the parameter space specification when a composite
+  estimator's strucutre is changed, or a Pipeline step is renamed.
+* more comfortably specify search spaces that include the alternation of a
+  step in a Pipeline (or ColumnTransformer, etc.), creating a form of
+  conditional dependency in the search space.
+
+History
+-------
+
+:issue:`5082`, :issue:`7608` and :issue:`19045` have all raised associating
+parameter search spaces directly with an estimator instance, while this
+has been supported by third party packages [1]_, [2]_. :issue:`21784` proposed
+a ``GridFactory``, but feedback suggested that methods on each estimator
+was more usable than an external utility.
+
+This proposal pertains to the Scikit-learn Roadmap entry "Better support for
+manual and automatic pipeline building" dating back to 2018.
+
+Implementation
+--------------
+
+Four public methods will be added to ``BaseEstimator``::
+
+    def set_grid(self, **grid: List[object]):
+        """Sets candidate values for parameters in a search
+
+        These candidates are used in grid search when a parameter grid is not
+        explicitly specified. They are also used in randomized search in the
+        case where set_distribution has not been used for the corresponding
+        parameter.
+
+        As with :meth:`set_params`, update semantics apply, such that
+        ``set_grid(param1=['a', 'b'], param2=[1, 2]).set_grid(param=['a'])``
+        will retain the candidates set for ``param2``. To reset the grid,
+        each parameter's candidates should be set to ``[]``.
+
+        Parameters
+        ----------
+        grid : Dict[Str, List[object]]
+            Keyword arguments define the values to be searched for each
+            specified parameter.
+
+            Keywords must be valid parameter names from :meth:`get_params`.
+
+        Returns
+        -------
+        self : Estimator
+        """
+        ...
+
+    def get_grid(self):
+        """Retrieves current settings for parameters where search candidates are set
+
+        Note that this only reflects local parameter candidates, and a grid
+        including nested estimators can be constructed in combination with
+        `get_params`.
+
+        Returns
+        -------
+        dict
+            A mapping from parameter name to a list of values. Each parameter
+            name should be a member of `self.get_params(deep=False).keys()`.
+        """
+        ...
+
+    def set_distribution(self, **distribution):
+        """Sets candidate values for parameters in a search
+
+        These candidates are used in randomized search when a parameter
+        distribution is not explicitly specified. For parameters where
+        no distribution is defined and a grid is defined, those grid values
+        will also be used.
+
+        As with :meth:`set_params`, update semantics apply, such that
+        ``set_distribution(param1=['a', 'b'], param2=[1, 2]).set_grid(param=['a'])``
+        will retain the candidates set for ``param2``. To reset the grid,
+        each parameter's candidates should be set to ``[]``.
+
+        Parameters
+        ----------
+        distribution : mapping from str to RV or list
+            Keyword arguments define the distribution to be searched for each
+            specified parameter.
+            Distributions may be specified either as an object with the method
+            ``rvs`` (see :mod:`scipy.stats`) or a list of discrete values with
+            uniform distribution.
+
+            Keywords must be valid parameter names from :meth:`get_params`.
+
+        Returns
+        -------
+        self : Estimator
+        """
+        ...
+
+    def get_distribution(self):
+        """Retrieves current settings for parameters where a search distribution is set
+
+        Note that this only reflects local parameter candidates, and a joint distribution
+        including nested estimators can be constructed in combination with
+        `get_params`.
+
+        For parameters where ``set_distribution`` has not been used, but ``set_grid``
+        has been, this will return the corresponding list of values specified in
+        ``set_grid``.
+
+        Returns
+        -------
+        dict
+            A mapping from parameter name to a scipy-compatible distribution
+            (i.e. with ``rvs``` method) or list of discrete values. Each parameter
+            name should be a member of `self.get_params(deep=False).keys()`.
+        """
+        ...
+
+The current distribution and grid values will be stored in a private
+attribute on the estimator, and ``get_grid`` may simply return this value,
+or an empty dict if undefined, while ``get_distribution`` will combine the
+stored parameter distributions with ``get_grid`` values.
+The attribute will be undefined by default upon construction of the estimator.
+
+Parameter spaces should be copied in :ojb:`sklearn.base.clone`, so that a user
+can overwrite only one parameter's space without redefining everything.
+To facilitate this (in the absence of a polymorphic implementation of clone),
+we might need to store the candidate grids and distributions in a known instance
+attribute, or use a combination of `get_grid`, `get_distribution`, `get_params`
+and `set_grid`, `set_distribution` etc. to perform `clone`.
+
+Search estimators in `sklearn.model_selection` will be updated such that the
+currently required `param_grid` and `param_distributions` parameters will now default
+to 'extract'. The 'extract' value instructs the search estimator to construct
+a complete search space from the provided estimator's `get_grid` (respectively,
+`get_distribution`) return value together with `get_params`.
+It recursively calls `get_grid` (and `get_distribution`) on any parametrized
+objects (i.e. those with `get_params`) with this method that are descendent
+from the given estimator, including:
+* values in ``estimator.get_params(deep=True)``
+* elements of list values in ``x.get_grid()`` or ``x.get_distribution()``
+  as appropriate (disregarding rvs) for any `x` descendant of the estimator.
+
+See the implementation of ``build_param_grid`` in Searchgrid [1]_, which applies
+to the grid search case. This algorithm enables the specification of searches
+over components in a pipeline as well as their parameters.
+
+Where the search estimator perfoming the 'extract' algorithm extracts an empty
+grid or distribution altogether for the given estimator, it should raise a
+``ValueError``, indicative of likely user error.
+
+Backward compatibility
+----------------------
+
+No concerns
+
+Alternatives
+------------
+
+The fundamental change here is to associate parameter search configuration with each atomic estimator object.
+
+Alternative APIs to do so include:
+
+* Provide a function ``set_grid`` as Searchgrid [1]_ does, which takes an
+  estimator instance and a parameter space, and sets a private
+  attribute on the estimator object. This avoids cluttering the estimator's
+  method namespace.
+* Provide a `GridFactory` (see :issue:`21784`) which allows the user to
+  construct a mapping from atomic estimator instances to their search spaces.
+  Aside from not cluttering the estimator's namespace, this may have
+  theoretical benefit in allowing the user to construct multiple search spaces
+  for the same composite estimator. There are no known use cases for this
+  benefit.
+
+Another questionable design is the separation of ``set_grid`` and ``set_distribution``.
+These could be combined into a single method (``set_search_space``?), such that
+:class:`~sklearn.model_selection.GridSearchCV` rejects a call to `fit` where `rvs`
+appear. This would make it harder to predefine search spaces that could be used
+for either exhaustive or randomised searches, which may be a use case in Auto-ML.
+
+The design of using a keyword argument for each parameter in ``set_grid``
+encourages succinctness but reduces extensibility.
+For example, we could design the API to require a single call per parameter::
+
+  est.set_grid('alpha', [.1, 1, 10]).set_grid('l1_ratio', [.2, .4, .6., .8])
+
+This design would allow further parameters to be added to `set_grid` to enrich
+the use of this data, including whether or not it is intended for randomised search.
+
+Discussion
+----------
+
+There are several areas to extend upon the above changes, such as to allow
+easier construction of pipelines with alternative steps to be searched (see
+``searchgrid.make_pipeline``), and handling alternative steps having
+non-uniform distribution for randomised search.
+
+There are also several other limitatins of the proposed solution:
+
+Limitation: tied parameters
+~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+Our solution does not directly meet the need for conditional
+dependencies within a single estimator raised in :issue:`9610`, e.g::
+
+    param_grid = [
+        {
+            "kernel": ["rbf"],
+            "gamma": [.001, .0001],
+            "C": [1, 10],
+        },
+        {
+            "kernel": ["linear"],
+            "C": [1, 10],
+        }
+    ]
+
+Using the proposed API, the user would need to search over multiple instances
+of the estimator, setting the parameter grids that could be searched with
+conditional independence.
+
+That issue also raises a request to tie parameters across estimators. While
+the current proposal does not support this use case, the algorithm translating
+an estimator to its deep parameter grid/distribution could potentially be adjusted
+to recognise a ``TiedParam`` helper.
+
+Limitation: continued use of ``__`` for search parameters
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+While this proposal reduces the use of dunders (``__``) for specifying parameter
+spaces, they will still be rendered in ``*SearchCV``'s ``cv_results_`` attribute.
+``cv_results_`` is similarly affected by large changes to its keys when small
+changes are made to the composite model structure. Future work could provide
+tools to make ``cv_results_`` more accessible and invariant to model structure.
+
+References and Footnotes
+------------------------
+
+.. [1] Joel Nothman (2017). *SearchGrid*. Software Release.
+   https://searchgrid.readthedocs.io/
+
+.. [2] Guillaume Chevalier, Alexandre Brilliant and Eric Hamel (2019).
+   *Neuraxle - A Python Framework for Neat Machine Learning Pipelines*.
+   DOI:10.13140/RG.2.2.33135.59043. Software at https://www.neuraxle.org/
+
+Copyright
+---------
+
+This document has been placed in the public domain.