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- import time
- from copy import deepcopy
- from typing import List
- import numpy as np
- from sklearn import datasets
- from sklearn.base import BaseEstimator, RegressorMixin, ClassifierMixin
- from sklearn.metrics import r2_score, mean_squared_error, log_loss
- from sklearn.model_selection import cross_val_score, KFold
- from sklearn.model_selection import train_test_split
- from sklearn.tree import DecisionTreeRegressor, DecisionTreeClassifier, export_text
- from sklearn.ensemble import (
- GradientBoostingClassifier,
- GradientBoostingRegressor,
- RandomForestRegressor,
- )
- from imodels.util import checks
- from imodels.util.arguments import check_fit_arguments
- from imodels.util.tree import compute_tree_complexity
- class HSTree(BaseEstimator):
- def __init__(
- self,
- estimator_: BaseEstimator = DecisionTreeClassifier(max_leaf_nodes=20),
- reg_param: float = 1,
- shrinkage_scheme_: str = "node_based",
- max_leaf_nodes: int = None,
- random_state: int = None,
- ):
- """HSTree (Tree with hierarchical shrinkage applied).
- Hierarchical shinkage is an extremely fast post-hoc regularization method which works on any decision tree (or tree-based ensemble, such as Random Forest).
- It does not modify the tree structure, and instead regularizes the tree by shrinking the prediction over each node towards the sample means of its ancestors (using a single regularization parameter).
- Experiments over a wide variety of datasets show that hierarchical shrinkage substantially increases the predictive performance of individual decision trees and decision-tree ensembles.
- https://arxiv.org/abs/2202.00858
- Params
- ------
- estimator_: sklearn tree or tree ensemble model (e.g. RandomForest or GradientBoosting)
- Defaults to CART Classification Tree with 20 max leaf nodes
- Note: this estimator will be directly modified
- reg_param: float
- Higher is more regularization (can be arbitrarily large, should not be < 0)
- shrinkage_scheme: str
- Experimental: Used to experiment with different forms of shrinkage. options are:
- (i) node_based shrinks based on number of samples in parent node
- (ii) leaf_based only shrinks leaf nodes based on number of leaf samples
- (iii) constant shrinks every node by a constant lambda
- max_leaf_nodes: int
- If estimator is None, then max_leaf_nodes is passed to the default decision tree
- """
- super().__init__()
- self.reg_param = reg_param
- self.estimator_ = estimator_
- self.shrinkage_scheme_ = shrinkage_scheme_
- self.random_state = random_state
- if checks.check_is_fitted(self.estimator_):
- self._shrink()
- if max_leaf_nodes is not None:
- self.estimator_.max_leaf_nodes = max_leaf_nodes
- self.estimator_.random_state = random_state
- def get_params(self, deep=True):
- d = {
- "reg_param": self.reg_param,
- "estimator_": self.estimator_,
- "shrinkage_scheme_": self.shrinkage_scheme_,
- "max_leaf_nodes": self.estimator_.max_leaf_nodes,
- }
- if deep:
- return deepcopy(d)
- return d
- def fit(self, X, y, sample_weight=None, *args, **kwargs):
- # remove feature_names if it exists (note: only works as keyword-arg)
- # None returned if not passed
- feature_names = kwargs.pop("feature_names", None)
- X, y, feature_names = check_fit_arguments(self, X, y, feature_names)
- if feature_names is not None:
- self.feature_names = feature_names
- self.estimator_ = self.estimator_.fit(
- X, y, *args, sample_weight=sample_weight, **kwargs
- )
- self._shrink()
- # compute complexity
- if hasattr(self.estimator_, "tree_"):
- self.complexity_ = compute_tree_complexity(self.estimator_.tree_)
- elif hasattr(self.estimator_, "estimators_"):
- self.complexity_ = 0
- for i in range(len(self.estimator_.estimators_)):
- t = deepcopy(self.estimator_.estimators_[i])
- if isinstance(t, np.ndarray):
- assert t.size == 1, "multiple trees stored under tree_?"
- t = t[0]
- self.complexity_ += compute_tree_complexity(t.tree_)
- return self
- def _shrink_tree(
- self, tree, reg_param, i=0, parent_val=None, parent_num=None, cum_sum=0
- ):
- """Shrink the tree"""
- if reg_param is None:
- reg_param = 1.0
- left = tree.children_left[i]
- right = tree.children_right[i]
- is_leaf = left == right
- n_samples = tree.weighted_n_node_samples[i]
- if isinstance(self, RegressorMixin) or isinstance(
- self.estimator_, GradientBoostingClassifier
- ):
- val = deepcopy(tree.value[i, :, :])
- else: # If classification, normalize to probability vector
- val = tree.value[i, :, :] / n_samples
- # Step 1: Update cum_sum
- # if root
- if parent_val is None and parent_num is None:
- cum_sum = val
- # if has parent
- else:
- if self.shrinkage_scheme_ == "node_based":
- val_new = (val - parent_val) / (1 + reg_param / parent_num)
- elif self.shrinkage_scheme_ == "constant":
- val_new = (val - parent_val) / (1 + reg_param)
- else: # leaf_based
- val_new = 0
- cum_sum += val_new
- # Step 2: Update node values
- if (
- self.shrinkage_scheme_ == "node_based"
- or self.shrinkage_scheme_ == "constant"
- ):
- tree.value[i, :, :] = cum_sum
- else: # leaf_based
- if is_leaf: # update node values if leaf_based
- root_val = tree.value[0, :, :]
- tree.value[i, :, :] = root_val + (val - root_val) / (
- 1 + reg_param / n_samples
- )
- else:
- tree.value[i, :, :] = val
- # Step 3: Recurse if not leaf
- if not is_leaf:
- self._shrink_tree(
- tree,
- reg_param,
- left,
- parent_val=val,
- parent_num=n_samples,
- cum_sum=deepcopy(cum_sum),
- )
- self._shrink_tree(
- tree,
- reg_param,
- right,
- parent_val=val,
- parent_num=n_samples,
- cum_sum=deepcopy(cum_sum),
- )
- # edit the non-leaf nodes for later visualization (doesn't effect predictions)
- return tree
- def _shrink(self):
- if hasattr(self.estimator_, "tree_"):
- self._shrink_tree(self.estimator_.tree_, self.reg_param)
- elif hasattr(self.estimator_, "estimators_"):
- for t in self.estimator_.estimators_:
- if isinstance(t, np.ndarray):
- assert t.size == 1, "multiple trees stored under tree_?"
- t = t[0]
- self._shrink_tree(t.tree_, self.reg_param)
- def predict(self, X, *args, **kwargs):
- return self.estimator_.predict(X, *args, **kwargs)
- def predict_proba(self, X, *args, **kwargs):
- if hasattr(self.estimator_, "predict_proba"):
- return self.estimator_.predict_proba(X, *args, **kwargs)
- else:
- return NotImplemented
- def score(self, X, y, *args, **kwargs):
- if hasattr(self.estimator_, "score"):
- return self.estimator_.score(X, y, *args, **kwargs)
- else:
- return NotImplemented
- def __str__(self):
- # check if fitted
- if not checks.check_is_fitted(self.estimator_):
- s = self.__class__.__name__
- s += "("
- s += "est="
- s += repr(self.estimator_)
- s += ", "
- s += "reg_param="
- s += str(self.reg_param)
- s += ")"
- return s
- else:
- s = "> ------------------------------\n"
- s += "> Decision Tree with Hierarchical Shrinkage\n"
- s += "> \tPrediction is made by looking at the value in the appropriate leaf of the tree\n"
- s += "> ------------------------------" + "\n"
- if hasattr(self, "feature_names") and self.feature_names is not None:
- return s + export_text(
- self.estimator_, feature_names=self.feature_names, show_weights=True
- )
- else:
- return s + export_text(self.estimator_, show_weights=True)
- def __repr__(self):
- # s = self.__class__.__name__
- # s += "("
- # s += "estimator_="
- # s += repr(self.estimator_)
- # s += ", "
- # s += "reg_param="
- # s += str(self.reg_param)
- # s += ", "
- # s += "shrinkage_scheme_="
- # s += self.shrinkage_scheme_
- # s += ")"
- # return s
- attr_list = ["estimator_", "reg_param", "shrinkage_scheme_"]
- s = self.__class__.__name__
- s += "("
- for attr in attr_list:
- s += attr + "=" + repr(getattr(self, attr)) + ", "
- s = s[:-2] + ")"
- return s
- class HSTreeRegressor(HSTree, RegressorMixin):
- def __init__(
- self,
- estimator_: BaseEstimator = DecisionTreeRegressor(max_leaf_nodes=20),
- reg_param: float = 1,
- shrinkage_scheme_: str = "node_based",
- max_leaf_nodes: int = None,
- random_state: int = None,
- ):
- super().__init__(
- estimator_=estimator_,
- reg_param=reg_param,
- shrinkage_scheme_=shrinkage_scheme_,
- max_leaf_nodes=max_leaf_nodes,
- random_state=random_state,
- )
- class HSTreeClassifier(HSTree, ClassifierMixin):
- def __init__(
- self,
- estimator_: BaseEstimator = DecisionTreeClassifier(max_leaf_nodes=20),
- reg_param: float = 1,
- shrinkage_scheme_: str = "node_based",
- max_leaf_nodes: int = None,
- random_state: int = None,
- ):
- super().__init__(
- estimator_=estimator_,
- reg_param=reg_param,
- shrinkage_scheme_=shrinkage_scheme_,
- max_leaf_nodes=max_leaf_nodes,
- random_state=random_state,
- )
- def _get_cv_criterion(scorer):
- y_true = np.random.binomial(n=1, p=0.5, size=100)
- y_pred_good = y_true
- y_pred_bad = np.random.uniform(0, 1, 100)
- score_good = scorer(y_true, y_pred_good)
- score_bad = scorer(y_true, y_pred_bad)
- if score_good > score_bad:
- return np.argmax
- elif score_good < score_bad:
- return np.argmin
- class HSTreeClassifierCV(HSTreeClassifier):
- def __init__(
- self,
- estimator_: BaseEstimator = None,
- reg_param_list: List[float] = [0, 0.1, 1, 10, 50, 100, 500],
- shrinkage_scheme_: str = "node_based",
- max_leaf_nodes: int = 20,
- cv: int = 3,
- scoring=None,
- *args,
- **kwargs
- ):
- """Cross-validation is used to select the best regularization parameter for hierarchical shrinkage.
- Params
- ------
- estimator_
- Sklearn estimator (already initialized).
- If no estimator_ is passed, sklearn decision tree is used
- max_rules
- If estimator is None, then max_leaf_nodes is passed to the default decision tree
- args, kwargs
- Note: args, kwargs are not used but left so that imodels-experiments can still pass redundant args.
- """
- if estimator_ is None:
- estimator_ = DecisionTreeClassifier(max_leaf_nodes=max_leaf_nodes)
- super().__init__(estimator_, reg_param=None)
- self.reg_param_list = np.array(reg_param_list)
- self.cv = cv
- self.scoring = scoring
- self.shrinkage_scheme_ = shrinkage_scheme_
- # print('estimator', self.estimator_,
- # 'checks.check_is_fitted(estimator)', checks.check_is_fitted(self.estimator_))
- # if checks.check_is_fitted(self.estimator_):
- # raise Warning('Passed an already fitted estimator,'
- # 'but shrinking not applied until fit method is called.')
- def fit(self, X, y, *args, **kwargs):
- self.scores_ = [[] for _ in self.reg_param_list]
- scorer = kwargs.get("scoring", log_loss)
- kf = KFold(n_splits=self.cv)
- for train_index, test_index in kf.split(X):
- X_out, y_out = X[test_index, :], y[test_index]
- X_in, y_in = X[train_index, :], y[train_index]
- base_est = deepcopy(self.estimator_)
- base_est.fit(X_in, y_in)
- for i, reg_param in enumerate(self.reg_param_list):
- est_hs = HSTreeClassifier(base_est, reg_param)
- est_hs.fit(X_in, y_in, *args, **kwargs)
- self.scores_[i].append(
- scorer(y_out, est_hs.predict_proba(X_out)))
- self.scores_ = [np.mean(s) for s in self.scores_]
- cv_criterion = _get_cv_criterion(scorer)
- self.reg_param = self.reg_param_list[cv_criterion(self.scores_)]
- super().fit(X=X, y=y, *args, **kwargs)
- def __repr__(self):
- attr_list = [
- "estimator_",
- "reg_param_list",
- "shrinkage_scheme_",
- "cv",
- "scoring",
- ]
- s = self.__class__.__name__
- s += "("
- for attr in attr_list:
- s += attr + "=" + repr(getattr(self, attr)) + ", "
- s = s[:-2] + ")"
- return s
- class HSTreeRegressorCV(HSTreeRegressor):
- def __init__(
- self,
- estimator_: BaseEstimator = None,
- reg_param_list: List[float] = [0, 0.1, 1, 10, 50, 100, 500],
- shrinkage_scheme_: str = "node_based",
- max_leaf_nodes: int = 20,
- cv: int = 3,
- scoring=None,
- *args,
- **kwargs
- ):
- """Cross-validation is used to select the best regularization parameter for hierarchical shrinkage.
- Params
- ------
- estimator_
- Sklearn estimator (already initialized).
- If no estimator_ is passed, sklearn decision tree is used
- max_rules
- If estimator is None, then max_leaf_nodes is passed to the default decision tree
- args, kwargs
- Note: args, kwargs are not used but left so that imodels-experiments can still pass redundant args.
- """
- if estimator_ is None:
- estimator_ = DecisionTreeRegressor(max_leaf_nodes=max_leaf_nodes)
- super().__init__(estimator_, reg_param=None)
- self.reg_param_list = np.array(reg_param_list)
- self.cv = cv
- self.scoring = scoring
- self.shrinkage_scheme_ = shrinkage_scheme_
- # print('estimator', self.estimator_,
- # 'checks.check_is_fitted(estimator)', checks.check_is_fitted(self.estimator_))
- # if checks.check_is_fitted(self.estimator_):
- # raise Warning('Passed an already fitted estimator,'
- # 'but shrinking not applied until fit method is called.')
- def fit(self, X, y, *args, **kwargs):
- self.scores_ = [[] for _ in self.reg_param_list]
- kf = KFold(n_splits=self.cv)
- scorer = kwargs.get("scoring", mean_squared_error)
- for train_index, test_index in kf.split(X):
- X_out, y_out = X[test_index, :], y[test_index]
- X_in, y_in = X[train_index, :], y[train_index]
- base_est = deepcopy(self.estimator_)
- base_est.fit(X_in, y_in)
- for i, reg_param in enumerate(self.reg_param_list):
- est_hs = HSTreeRegressor(base_est, reg_param)
- est_hs.fit(X_in, y_in)
- self.scores_[i].append(scorer(est_hs.predict(X_out), y_out))
- self.scores_ = [np.mean(s) for s in self.scores_]
- cv_criterion = _get_cv_criterion(scorer)
- self.reg_param = self.reg_param_list[cv_criterion(self.scores_)]
- super().fit(X=X, y=y, *args, **kwargs)
- def __repr__(self):
- attr_list = [
- "estimator_",
- "reg_param_list",
- "shrinkage_scheme_",
- "cv",
- "scoring",
- ]
- s = self.__class__.__name__
- s += "("
- for attr in attr_list:
- s += attr + "=" + repr(getattr(self, attr)) + ", "
- s = s[:-2] + ")"
- return s
- if __name__ == "__main__":
- np.random.seed(15)
- # X, y = datasets.fetch_california_housing(return_X_y=True) # regression
- # X, y = datasets.load_breast_cancer(return_X_y=True) # binary classification
- X, y = datasets.load_diabetes(return_X_y=True) # regression
- # X = np.random.randn(500, 10)
- # y = (X[:, 0] > 0).astype(float) + (X[:, 1] > 1).astype(float)
- X_train, X_test, y_train, y_test = train_test_split(
- X, y, test_size=0.33, random_state=10
- )
- print("X.shape", X.shape)
- print("ys", np.unique(y_train))
- # m = HSTree(estimator_=DecisionTreeClassifier(), reg_param=0.1)
- # m = DecisionTreeClassifier(max_leaf_nodes = 20,random_state=1, max_features=None)
- # m = DecisionTreeClassifier(random_state=42)
- m = GradientBoostingRegressor(random_state=10, n_estimators=5)
- # print('best alpha', m.reg_param)
- m.fit(X_train, y_train)
- # m.predict_proba(X_train) # just run this
- print("score", r2_score(y_test, m.predict(X_test)))
- print("running again....")
- # x = DecisionTreeRegressor(random_state = 42, ccp_alpha = 0.3)
- # x.fit(X_train,y_train)
- # m = HSTree(estimator_=DecisionTreeRegressor(random_state=42, max_features=None), reg_param=10)
- # m = HSTree(estimator_=DecisionTreeClassifier(random_state=42, max_features=None), reg_param=0)
- # m = HSTreeRegressorCV(
- # estimator_=DecisionTreeClassifier(random_state=42),
- # shrinkage_scheme_="node_based",
- # reg_param_list=[0.1, 1, 2, 5, 10, 25, 50, 100, 500],
- # )
- # m = ShrunkTreeCV(estimator_=DecisionTreeClassifier())
- m = HSTreeRegressor(m)
- print("score", r2_score(y_test, m.predict(X_test)))
- m = HSTreeRegressor(
- estimator_=GradientBoostingRegressor(
- random_state=10,
- n_estimators=5,
- ),
- reg_param=1,
- )
- m.fit(X_train, y_train)
- print("best alpha", m.reg_param)
- # m.predict_proba(X_train) # just run this
- # print('score', m.score(X_test, y_test))
- print("score", r2_score(y_test, m.predict(X_test)))
|