class BaseSLearner(object):
"""A parent class for S-learner classes.
An S-learner estimates treatment effects with one machine learning model.
Details of S-learner are available at Kunzel et al. (2018) (https://arxiv.org/abs/1706.03461).
"""
def __init__(self, learner=None, ate_alpha=0.05, control_name=0):
"""Initialize an S-learner.
Args:
learner (optional): a model to estimate the treatment effect
control_name (str or int, optional): name of control group
"""
if learner:
self.model = learner
else:
self.model = DummyRegressor()
self.ate_alpha = ate_alpha
self.control_name = control_name
def __repr__(self):
return '{}(model={})'.format(self.__class__.__name__,
self.model.__repr__())
def fit(self, X, treatment, y):
"""Fit the inference model
Args:
X (np.matrix): a feature matrix
treatment (np.array): a treatment vector
y (np.array): an outcome vector
"""
self.t_groups = np.unique(treatment[treatment != self.control_name])
self.t_groups.sort()
self._classes = {group: i for i, group in enumerate(self.t_groups)}
self.models = {group: deepcopy(self.model) for group in self.t_groups}
for group in self.t_groups:
w = (treatment == group).astype(int)
X_new = np.hstack((w.reshape((-1, 1)), X))
self.models[group].fit(X_new, y)
def predict(self, X, treatment, y=None, verbose=True):
"""Predict treatment effects.
Args:
X (np.matrix): a feature matrix
treatment (np.array): a treatment vector
y (np.array, optional): an outcome vector
Returns:
(numpy.ndarray): Predictions of treatment effects.
"""
yhat_cs = {}
yhat_ts = {}
for group in self.t_groups:
w = (treatment != group).astype(int)
model = self.models[group]
X_new = np.hstack((w.reshape((-1, 1)), X))
X_new[:,
0] = 0 # set the treatment column to zero (the control group)
yhat_cs[group] = model.predict(X_new)
X_new[:,
0] = 1 # set the treatment column to one (the treatment group)
yhat_ts[group] = model.predict(X_new)
if y is not None and verbose:
for group in self.t_groups:
logger.info('Error metrics for {}'.format(group))
logger.info('RMSE (Control): {:.6f}'.format(
np.sqrt(
mse(y[treatment != group],
yhat_cs[group][treatment != group]))))
logger.info(' MAE (Control): {:.6f}'.format(
mae(y[treatment != group],
yhat_cs[group][treatment != group])))
logger.info('RMSE (Treatment): {:.6f}'.format(
np.sqrt(
mse(y[treatment == group],
yhat_ts[group][treatment == group]))))
logger.info(' MAE (Treatment): {:.6f}'.format(
mae(y[treatment == group],
yhat_ts[group][treatment == group])))
te = np.zeros((X.shape[0], self.t_groups.shape[0]))
for i, group in enumerate(self.t_groups):
te[:, i] = yhat_ts[group] - yhat_cs[group]
return te
def fit_predict(self,
X,
treatment,
y,
return_ci=False,
n_bootstraps=1000,
bootstrap_size=10000,
verbose=True):
"""Fit the inference model of the S learner and predict treatment effects.
Args:
X (np.matrix): a feature matrix
treatment (np.array): a treatment vector
y (np.array): an outcome vector
return_ci (bool, optional): whether to return confidence intervals
n_bootstraps (int, optional): number of bootstrap iterations
bootstrap_size (int, optional): number of samples per bootstrap
verbose (str, optional): whether to output progress logs
Returns:
(numpy.ndarray): Predictions of treatment effects. Output dim: [n_samples, n_treatment].
If return_ci, returns CATE [n_samples, n_treatment], LB [n_samples, n_treatment],
UB [n_samples, n_treatment]
"""
self.fit(X, treatment, y)
te = self.predict(X, treatment, y)
if not return_ci:
return te
else:
start = pd.datetime.today()
self.t_groups_global = self.t_groups
self._classes_global = self._classes
self.models_global = deepcopy(self.models)
te_bootstraps = np.zeros(shape=(X.shape[0], self.t_groups.shape[0],
n_bootstraps))
for i in range(n_bootstraps):
te_b = self.bootstrap(X, treatment, y, size=bootstrap_size)
te_bootstraps[:, :, i] = te_b
if verbose and i % 10 == 0 and i > 0:
now = pd.datetime.today()
lapsed = (now - start).seconds
logger.info(
'{}/{} bootstraps completed. ({}s lapsed)'.format(
i + 1, n_bootstraps, lapsed))
te_lower = np.percentile(te_bootstraps, (self.ate_alpha / 2) * 100,
axis=2)
te_upper = np.percentile(te_bootstraps,
(1 - self.ate_alpha / 2) * 100,
axis=2)
# set member variables back to global (currently last bootstrapped outcome)
self.t_groups = self.t_groups_global
self._classes = self._classes_global
self.models = self.models_global
return (te, te_lower, te_upper)
def estimate_ate(self,
X,
treatment,
y,
return_ci=False,
n_bootstraps=1000,
bootstrap_size=10000,
verbose=True):
if return_ci:
te, te_lb, te_ub = self.fit_predict(X,
treatment,
y,
return_ci=True,
n_bootstraps=n_bootstraps,
bootstrap_size=bootstrap_size,
verbose=verbose)
ate = te.mean(axis=0)
ate_lb = te_lb.mean(axis=0)
ate_ub = te_ub.mean(axis=0)
return ate, ate_lb, ate_ub
else:
te = self.fit_predict(X,
treatment,
y,
return_ci=False,
n_bootstraps=n_bootstraps,
bootstrap_size=bootstrap_size,
verbose=verbose)
ate = te.mean(axis=0)
return ate
def bootstrap(self, X, treatment, y, size=10000):
"""Runs a single bootstrap. Fits on bootstrapped sample, then predicts on whole population.
"""
idxs = np.random.choice(np.arange(0, X.shape[0]), size=size)
X_b = X[idxs]
treatment_b = treatment[idxs]
y_b = y[idxs]
self.fit(X=X_b, treatment=treatment_b, y=y_b)
te_b = self.predict(X=X, treatment=treatment, verbose=False)
return te_b
class BaseSLearner(BaseLearner):
"""A parent class for S-learner classes.
An S-learner estimates treatment effects with one machine learning model.
Details of S-learner are available at Kunzel et al. (2018) (https://arxiv.org/abs/1706.03461).
"""
def __init__(self, learner=None, ate_alpha=0.05, control_name=0):
"""Initialize an S-learner.
Args:
learner (optional): a model to estimate the treatment effect
control_name (str or int, optional): name of control group
"""
if learner is not None:
self.model = learner
else:
self.model = DummyRegressor()
self.ate_alpha = ate_alpha
self.control_name = control_name
def __repr__(self):
return "{}(model={})".format(self.__class__.__name__,
self.model.__repr__())
def fit(self, X, treatment, y, p=None):
"""Fit the inference model
Args:
X (np.matrix, np.array, or pd.Dataframe): a feature matrix
treatment (np.array or pd.Series): a treatment vector
y (np.array or pd.Series): an outcome vector
"""
X, treatment, y = convert_pd_to_np(X, treatment, y)
check_treatment_vector(treatment, self.control_name)
self.t_groups = np.unique(treatment[treatment != self.control_name])
self.t_groups.sort()
self._classes = {group: i for i, group in enumerate(self.t_groups)}
self.models = {group: deepcopy(self.model) for group in self.t_groups}
for group in self.t_groups:
mask = (treatment == group) | (treatment == self.control_name)
treatment_filt = treatment[mask]
X_filt = X[mask]
y_filt = y[mask]
w = (treatment_filt == group).astype(int)
X_new = np.hstack((w.reshape((-1, 1)), X_filt))
self.models[group].fit(X_new, y_filt)
def predict(self,
X,
treatment=None,
y=None,
p=None,
return_components=False,
verbose=True):
"""Predict treatment effects.
Args:
X (np.matrix or np.array or pd.Dataframe): a feature matrix
treatment (np.array or pd.Series, optional): a treatment vector
y (np.array or pd.Series, optional): an outcome vector
return_components (bool, optional): whether to return outcome for treatment and control seperately
verbose (bool, optional): whether to output progress logs
Returns:
(numpy.ndarray): Predictions of treatment effects.
"""
X, treatment, y = convert_pd_to_np(X, treatment, y)
yhat_cs = {}
yhat_ts = {}
for group in self.t_groups:
model = self.models[group]
# set the treatment column to zero (the control group)
X_new = np.hstack((np.zeros((X.shape[0], 1)), X))
yhat_cs[group] = model.predict(X_new)
# set the treatment column to one (the treatment group)
X_new[:, 0] = 1
yhat_ts[group] = model.predict(X_new)
if (y is not None) and (treatment is not None) and verbose:
mask = (treatment == group) | (treatment == self.control_name)
treatment_filt = treatment[mask]
w = (treatment_filt == group).astype(int)
y_filt = y[mask]
yhat = np.zeros_like(y_filt, dtype=float)
yhat[w == 0] = yhat_cs[group][mask][w == 0]
yhat[w == 1] = yhat_ts[group][mask][w == 1]
logger.info("Error metrics for group {}".format(group))
regression_metrics(y_filt, yhat, w)
te = np.zeros((X.shape[0], self.t_groups.shape[0]))
for i, group in enumerate(self.t_groups):
te[:, i] = yhat_ts[group] - yhat_cs[group]
if not return_components:
return te
else:
return te, yhat_cs, yhat_ts
def fit_predict(
self,
X,
treatment,
y,
p=None,
return_ci=False,
n_bootstraps=1000,
bootstrap_size=10000,
return_components=False,
verbose=True,
):
"""Fit the inference model of the S learner and predict treatment effects.
Args:
X (np.matrix, np.array, or pd.Dataframe): a feature matrix
treatment (np.array or pd.Series): a treatment vector
y (np.array or pd.Series): an outcome vector
return_ci (bool, optional): whether to return confidence intervals
n_bootstraps (int, optional): number of bootstrap iterations
bootstrap_size (int, optional): number of samples per bootstrap
return_components (bool, optional): whether to return outcome for treatment and control seperately
verbose (bool, optional): whether to output progress logs
Returns:
(numpy.ndarray): Predictions of treatment effects. Output dim: [n_samples, n_treatment].
If return_ci, returns CATE [n_samples, n_treatment], LB [n_samples, n_treatment],
UB [n_samples, n_treatment]
"""
self.fit(X, treatment, y)
te = self.predict(X, treatment, y, return_components=return_components)
if not return_ci:
return te
else:
t_groups_global = self.t_groups
_classes_global = self._classes
models_global = deepcopy(self.models)
te_bootstraps = np.zeros(shape=(X.shape[0], self.t_groups.shape[0],
n_bootstraps))
logger.info("Bootstrap Confidence Intervals")
for i in tqdm(range(n_bootstraps)):
te_b = self.bootstrap(X, treatment, y, size=bootstrap_size)
te_bootstraps[:, :, i] = te_b
te_lower = np.percentile(te_bootstraps, (self.ate_alpha / 2) * 100,
axis=2)
te_upper = np.percentile(te_bootstraps,
(1 - self.ate_alpha / 2) * 100,
axis=2)
# set member variables back to global (currently last bootstrapped outcome)
self.t_groups = t_groups_global
self._classes = _classes_global
self.models = deepcopy(models_global)
return (te, te_lower, te_upper)
def estimate_ate(
self,
X,
treatment,
y,
p=None,
return_ci=False,
bootstrap_ci=False,
n_bootstraps=1000,
bootstrap_size=10000,
pretrain=False,
):
"""Estimate the Average Treatment Effect (ATE).
Args:
X (np.matrix, np.array, or pd.Dataframe): a feature matrix
treatment (np.array or pd.Series): a treatment vector
y (np.array or pd.Series): an outcome vector
return_ci (bool, optional): whether to return confidence intervals
bootstrap_ci (bool): whether to return confidence intervals
n_bootstraps (int): number of bootstrap iterations
bootstrap_size (int): number of samples per bootstrap
pretrain (bool): whether a model has been fit, default False.
Returns:
The mean and confidence interval (LB, UB) of the ATE estimate.
"""
X, treatment, y = convert_pd_to_np(X, treatment, y)
if pretrain:
te, yhat_cs, yhat_ts = self.predict(X,
treatment,
y,
return_components=True)
else:
te, yhat_cs, yhat_ts = self.fit_predict(X,
treatment,
y,
return_components=True)
ate = np.zeros(self.t_groups.shape[0])
ate_lb = np.zeros(self.t_groups.shape[0])
ate_ub = np.zeros(self.t_groups.shape[0])
for i, group in enumerate(self.t_groups):
_ate = te[:, i].mean()
mask = (treatment == group) | (treatment == self.control_name)
treatment_filt = treatment[mask]
y_filt = y[mask]
w = (treatment_filt == group).astype(int)
prob_treatment = float(sum(w)) / w.shape[0]
yhat_c = yhat_cs[group][mask]
yhat_t = yhat_ts[group][mask]
se = np.sqrt(
((y_filt[w == 0] - yhat_c[w == 0]).var() /
(1 - prob_treatment) +
(y_filt[w == 1] - yhat_t[w == 1]).var() / prob_treatment +
(yhat_t - yhat_c).var()) / y_filt.shape[0])
_ate_lb = _ate - se * norm.ppf(1 - self.ate_alpha / 2)
_ate_ub = _ate + se * norm.ppf(1 - self.ate_alpha / 2)
ate[i] = _ate
ate_lb[i] = _ate_lb
ate_ub[i] = _ate_ub
if not return_ci:
return ate
elif return_ci and not bootstrap_ci:
return ate, ate_lb, ate_ub
else:
t_groups_global = self.t_groups
_classes_global = self._classes
models_global = deepcopy(self.models)
logger.info("Bootstrap Confidence Intervals for ATE")
ate_bootstraps = np.zeros(shape=(self.t_groups.shape[0],
n_bootstraps))
for n in tqdm(range(n_bootstraps)):
ate_b = self.bootstrap(X, treatment, y, size=bootstrap_size)
ate_bootstraps[:, n] = ate_b.mean()
ate_lower = np.percentile(ate_bootstraps,
(self.ate_alpha / 2) * 100,
axis=1)
ate_upper = np.percentile(ate_bootstraps,
(1 - self.ate_alpha / 2) * 100,
axis=1)
# set member variables back to global (currently last bootstrapped outcome)
self.t_groups = t_groups_global
self._classes = _classes_global
self.models = deepcopy(models_global)
return ate, ate_lower, ate_upper
class BaseSLearner(object):
"""A parent class for S-learner classes.
An S-learner estimates treatment effects with one machine learning model.
Details of S-learner are available at Kunzel et al. (2018) (https://arxiv.org/abs/1706.03461).
"""
def __init__(self, learner=None, ate_alpha=0.05, control_name=0):
"""Initialize an S-learner.
Args:
learner (optional): a model to estimate the treatment effect
control_name (str or int, optional): name of control group
"""
if learner is not None:
self.model = learner
else:
self.model = DummyRegressor()
self.ate_alpha = ate_alpha
self.control_name = control_name
def __repr__(self):
return '{}(model={})'.format(self.__class__.__name__,
self.model.__repr__())
def fit(self, X, treatment, y):
"""Fit the inference model
Args:
X (np.matrix, np.array, or pd.Dataframe): a feature matrix
treatment (np.array or pd.Series): a treatment vector
y (np.array or pd.Series): an outcome vector
"""
X, treatment, y = convert_pd_to_np(X, treatment, y)
check_treatment_vector(treatment, self.control_name)
self.t_groups = np.unique(treatment[treatment != self.control_name])
self.t_groups.sort()
self._classes = {group: i for i, group in enumerate(self.t_groups)}
self.models = {group: deepcopy(self.model) for group in self.t_groups}
for group in self.t_groups:
mask = (treatment == group) | (treatment == self.control_name)
treatment_filt = treatment[mask]
X_filt = X[mask]
y_filt = y[mask]
w = (treatment_filt == group).astype(int)
X_new = np.hstack((w.reshape((-1, 1)), X_filt))
self.models[group].fit(X_new, y_filt)
def predict(self,
X,
treatment=None,
y=None,
return_components=False,
verbose=True):
"""Predict treatment effects.
Args:
X (np.matrix or np.array or pd.Dataframe): a feature matrix
treatment (np.array or pd.Series, optional): a treatment vector
y (np.array or pd.Series, optional): an outcome vector
return_components (bool, optional): whether to return outcome for treatment and control seperately
verbose (bool, optional): whether to output progress logs
Returns:
(numpy.ndarray): Predictions of treatment effects.
"""
X, treatment, y = convert_pd_to_np(X, treatment, y)
yhat_cs = {}
yhat_ts = {}
for group in self.t_groups:
model = self.models[group]
# set the treatment column to zero (the control group)
X_new = np.hstack((np.zeros((X.shape[0], 1)), X))
yhat_cs[group] = model.predict(X_new)
# set the treatment column to one (the treatment group)
X_new[:, 0] = 1
yhat_ts[group] = model.predict(X_new)
if (y is not None) and (treatment is not None) and verbose:
mask = (treatment == group) | (treatment == self.control_name)
treatment_filt = treatment[mask]
w = (treatment_filt == group).astype(int)
y_filt = y[mask]
yhat = np.zeros_like(y_filt, dtype=float)
yhat[w == 0] = yhat_cs[group][mask][w == 0]
yhat[w == 1] = yhat_ts[group][mask][w == 1]
logger.info('Error metrics for group {}'.format(group))
regression_metrics(y_filt, yhat, w)
te = np.zeros((X.shape[0], self.t_groups.shape[0]))
for i, group in enumerate(self.t_groups):
te[:, i] = yhat_ts[group] - yhat_cs[group]
if not return_components:
return te
else:
return te, yhat_cs, yhat_ts
return te
def fit_predict(self,
X,
treatment,
y,
return_ci=False,
n_bootstraps=1000,
bootstrap_size=10000,
return_components=False,
verbose=True):
"""Fit the inference model of the S learner and predict treatment effects.
Args:
X (np.matrix, np.array, or pd.Dataframe): a feature matrix
treatment (np.array or pd.Series): a treatment vector
y (np.array or pd.Series): an outcome vector
return_ci (bool, optional): whether to return confidence intervals
n_bootstraps (int, optional): number of bootstrap iterations
bootstrap_size (int, optional): number of samples per bootstrap
return_components (bool, optional): whether to return outcome for treatment and control seperately
verbose (bool, optional): whether to output progress logs
Returns:
(numpy.ndarray): Predictions of treatment effects. Output dim: [n_samples, n_treatment].
If return_ci, returns CATE [n_samples, n_treatment], LB [n_samples, n_treatment],
UB [n_samples, n_treatment]
"""
self.fit(X, treatment, y)
te = self.predict(X, treatment, y, return_components=return_components)
if not return_ci:
return te
else:
t_groups_global = self.t_groups
_classes_global = self._classes
models_global = deepcopy(self.models)
te_bootstraps = np.zeros(shape=(X.shape[0], self.t_groups.shape[0],
n_bootstraps))
logger.info('Bootstrap Confidence Intervals')
for i in tqdm(range(n_bootstraps)):
te_b = self.bootstrap(X, treatment, y, size=bootstrap_size)
te_bootstraps[:, :, i] = te_b
te_lower = np.percentile(te_bootstraps, (self.ate_alpha / 2) * 100,
axis=2)
te_upper = np.percentile(te_bootstraps,
(1 - self.ate_alpha / 2) * 100,
axis=2)
# set member variables back to global (currently last bootstrapped outcome)
self.t_groups = t_groups_global
self._classes = _classes_global
self.models = deepcopy(models_global)
return (te, te_lower, te_upper)
def estimate_ate(self,
X,
treatment,
y,
return_ci=False,
bootstrap_ci=False,
n_bootstraps=1000,
bootstrap_size=10000):
"""Estimate the Average Treatment Effect (ATE).
Args:
X (np.matrix, np.array, or pd.Dataframe): a feature matrix
treatment (np.array or pd.Series): a treatment vector
y (np.array or pd.Series): an outcome vector
return_ci (bool, optional): whether to return confidence intervals
bootstrap_ci (bool): whether to return confidence intervals
n_bootstraps (int): number of bootstrap iterations
bootstrap_size (int): number of samples per bootstrap
Returns:
The mean and confidence interval (LB, UB) of the ATE estimate.
"""
te, yhat_cs, yhat_ts = self.fit_predict(X,
treatment,
y,
return_components=True)
ate = np.zeros(self.t_groups.shape[0])
ate_lb = np.zeros(self.t_groups.shape[0])
ate_ub = np.zeros(self.t_groups.shape[0])
for i, group in enumerate(self.t_groups):
_ate = te[:, i].mean()
mask = (treatment == group) | (treatment == self.control_name)
treatment_filt = treatment[mask]
y_filt = y[mask]
w = (treatment_filt == group).astype(int)
prob_treatment = float(sum(w)) / w.shape[0]
yhat_c = yhat_cs[group][mask]
yhat_t = yhat_ts[group][mask]
se = np.sqrt(
((y_filt[w == 0] - yhat_c[w == 0]).var() /
(1 - prob_treatment) +
(y_filt[w == 1] - yhat_t[w == 1]).var() / prob_treatment +
(yhat_t - yhat_c).var()) / y_filt.shape[0])
_ate_lb = _ate - se * norm.ppf(1 - self.ate_alpha / 2)
_ate_ub = _ate + se * norm.ppf(1 - self.ate_alpha / 2)
ate[i] = _ate
ate_lb[i] = _ate_lb
ate_ub[i] = _ate_ub
if not return_ci:
return ate
elif return_ci and not bootstrap_ci:
return ate, ate_lb, ate_ub
else:
t_groups_global = self.t_groups
_classes_global = self._classes
models_global = deepcopy(self.models)
logger.info('Bootstrap Confidence Intervals for ATE')
ate_bootstraps = np.zeros(shape=(self.t_groups.shape[0],
n_bootstraps))
for n in tqdm(range(n_bootstraps)):
ate_b = self.bootstrap(X, treatment, y, size=bootstrap_size)
ate_bootstraps[:, n] = ate_b.mean()
ate_lower = np.percentile(ate_bootstraps,
(self.ate_alpha / 2) * 100,
axis=1)
ate_upper = np.percentile(ate_bootstraps,
(1 - self.ate_alpha / 2) * 100,
axis=1)
# set member variables back to global (currently last bootstrapped outcome)
self.t_groups = t_groups_global
self._classes = _classes_global
self.models = deepcopy(models_global)
return ate, ate_lower, ate_upper
def bootstrap(self, X, treatment, y, size=10000):
"""Runs a single bootstrap. Fits on bootstrapped sample, then predicts on whole population.
"""
idxs = np.random.choice(np.arange(0, X.shape[0]), size=size)
X_b = X[idxs]
treatment_b = treatment[idxs]
y_b = y[idxs]
self.fit(X=X_b, treatment=treatment_b, y=y_b)
te_b = self.predict(X=X, treatment=treatment, verbose=False)
return te_b
def get_importance(self,
X=None,
tau=None,
model_tau_feature=None,
features=None,
method='auto',
normalize=True,
test_size=0.3,
random_state=None):
"""
Builds a model (using X to predict estimated/actual tau), and then calculates feature importances
based on a specified method.
Currently supported methods are:
- auto (calculates importance based on estimator's default implementation of feature importance;
estimator must be tree-based)
Note: if none provided, it uses lightgbm's LGBMRegressor as estimator, and "gain" as
importance type
- permutation (calculates importance based on mean decrease in accuracy when a feature column is permuted; estimator can be any form)
Hint: for permutation, downsample data for better performance especially if X.shape[1] is large
Args:
X (np.matrix or np.array or pd.Dataframe): a feature matrix
tau (np.array): a treatment effect vector (estimated/actual)
model_tau_feature (sklearn/lightgbm/xgboost model object): an unfitted model object
features (np.array): list/array of feature names. If None, an enumerated list will be used
method (str): auto, permutation
normalize (bool): normalize by sum of importances if method=auto (defaults to True)
test_size (float/int): if float, represents the proportion of the dataset to include in the test split. If int, represents the absolute number of test samples (used for estimating permutation importance)
random_state (int/RandomState instance/None): random state used in permutation importance estimation
"""
explainer = Explainer(method=method,
control_name=self.control_name,
X=X,
tau=tau,
model_tau=model_tau_feature,
features=features,
classes=self._classes,
normalize=normalize,
test_size=test_size,
random_state=random_state)
return explainer.get_importance()
def get_shap_values(self,
X=None,
model_tau_feature=None,
tau=None,
features=None):
"""
Builds a model (using X to predict estimated/actual tau), and then calculates shapley values.
Args:
X (np.matrix or np.array or pd.Dataframe): a feature matrix
tau (np.array): a treatment effect vector (estimated/actual)
model_tau_feature (sklearn/lightgbm/xgboost model object): an unfitted model object
features (optional, np.array): list/array of feature names. If None, an enumerated list will be used.
"""
explainer = Explainer(method='shapley',
control_name=self.control_name,
X=X,
tau=tau,
model_tau=model_tau_feature,
features=features,
classes=self._classes)
return explainer.get_shap_values()
def plot_importance(self,
X=None,
tau=None,
model_tau_feature=None,
features=None,
method='auto',
normalize=True,
test_size=0.3,
random_state=None):
"""
Builds a model (using X to predict estimated/actual tau), and then plots feature importances
based on a specified method.
Currently supported methods are:
- auto (calculates importance based on estimator's default implementation of feature importance;
estimator must be tree-based)
Note: if none provided, it uses lightgbm's LGBMRegressor as estimator, and "gain" as
importance type
- permutation (calculates importance based on mean decrease in accuracy when a feature column is permuted; estimator can be any form)
Hint: for permutation, downsample data for better performance especially if X.shape[1] is large
Args:
X (np.matrix or np.array or pd.Dataframe): a feature matrix
tau (np.array): a treatment effect vector (estimated/actual)
model_tau_feature (sklearn/lightgbm/xgboost model object): an unfitted model object
features (optional, np.array): list/array of feature names. If None, an enumerated list will be used
method (str): auto, permutation
normalize (bool): normalize by sum of importances if method=auto (defaults to True)
test_size (float/int): if float, represents the proportion of the dataset to include in the test split. If int, represents the absolute number of test samples (used for estimating permutation importance)
random_state (int/RandomState instance/None): random state used in permutation importance estimation
"""
explainer = Explainer(method=method,
control_name=self.control_name,
X=X,
tau=tau,
model_tau=model_tau_feature,
features=features,
classes=self._classes,
normalize=normalize,
test_size=test_size,
random_state=random_state)
explainer.plot_importance()
def plot_shap_values(self,
X=None,
tau=None,
model_tau_feature=None,
features=None,
shap_dict=None,
**kwargs):
"""
Plots distribution of shapley values.
If shapley values have been pre-computed, pass it through the shap_dict parameter.
If shap_dict is not provided, this builds a new model (using X to predict estimated/actual tau),
and then calculates shapley values.
Args:
X (np.matrix, np.array, or pd.Dataframe): a feature matrix. Required if shap_dict is None.
tau (np.array): a treatment effect vector (estimated/actual)
model_tau_feature (sklearn/lightgbm/xgboost model object): an unfitted model object
features (optional, np.array): list/array of feature names. If None, an enumerated list will be used.
shap_dict (optional, dict): a dict of shapley value matrices. If None, shap_dict will be computed.
"""
override_checks = False if shap_dict is None else True
explainer = Explainer(method='shapley',
control_name=self.control_name,
X=X,
tau=tau,
model_tau=model_tau_feature,
features=features,
override_checks=override_checks,
classes=self._classes)
explainer.plot_shap_values(shap_dict=shap_dict)
def plot_shap_dependence(self,
treatment_group,
feature_idx,
X,
tau,
model_tau_feature=None,
features=None,
shap_dict=None,
interaction_idx='auto',
**kwargs):
"""
Plots dependency of shapley values for a specified feature, colored by an interaction feature.
If shapley values have been pre-computed, pass it through the shap_dict parameter.
If shap_dict is not provided, this builds a new model (using X to predict estimated/actual tau),
and then calculates shapley values.
This plots the value of the feature on the x-axis and the SHAP value of the same feature
on the y-axis. This shows how the model depends on the given feature, and is like a
richer extension of the classical partial dependence plots. Vertical dispersion of the
data points represents interaction effects.
Args:
treatment_group (str or int): name of treatment group to create dependency plot on
feature_idx (str or int): feature index / name to create dependency plot on
X (np.matrix or np.array or pd.Dataframe): a feature matrix
tau (np.array): a treatment effect vector (estimated/actual)
model_tau_feature (sklearn/lightgbm/xgboost model object): an unfitted model object
features (optional, np.array): list/array of feature names. If None, an enumerated list will be used.
shap_dict (optional, dict): a dict of shapley value matrices. If None, shap_dict will be computed.
interaction_idx (optional, str or int): feature index / name used in coloring scheme as interaction feature.
If "auto" then shap.common.approximate_interactions is used to pick what seems to be the
strongest interaction (note that to find to true strongest interaction you need to compute
the SHAP interaction values).
"""
override_checks = False if shap_dict is None else True
explainer = Explainer(method='shapley',
control_name=self.control_name,
X=X,
tau=tau,
model_tau=model_tau_feature,
features=features,
override_checks=override_checks,
classes=self._classes)
explainer.plot_shap_dependence(treatment_group=treatment_group,
feature_idx=feature_idx,
shap_dict=shap_dict,
interaction_idx=interaction_idx,
**kwargs)
class BaseSLearner(object):
"""A parent class for S-learner classes.
An S-learner estimates treatment effects with one machine learning model.
Details of S-learner are available at Kunzel et al. (2018) (https://arxiv.org/abs/1706.03461).
"""
def __init__(self, learner=None, ate_alpha=0.05, control_name=0):
"""Initialize an S-learner.
Args:
learner (optional): a model to estimate the treatment effect
control_name (str or int, optional): name of control group
"""
if learner:
self.model = learner
else:
self.model = DummyRegressor()
self.ate_alpha = ate_alpha
self.control_name = control_name
def __repr__(self):
return '{}(model={})'.format(self.__class__.__name__,
self.model.__repr__())
def fit(self, X, treatment, y):
"""Fit the inference model
Args:
X (np.matrix): a feature matrix
treatment (np.array): a treatment vector
y (np.array): an outcome vector
"""
is_treatment = treatment != self.control_name
w = is_treatment.astype(int)
t_groups = np.unique(treatment[is_treatment])
self._classes = {}
# this should be updated for multi-treatment case
self._classes[t_groups[0]] = 0
X = np.hstack((w.reshape((-1, 1)), X))
self.model.fit(X, y)
def predict(self, X, treatment, y=None):
"""Predict treatment effects.
Args:
X (np.matrix): a feature matrix
treatment (np.array): a treatment vector
y (np.array, optional): an outcome vector
Returns:
(numpy.ndarray): Predictions of treatment effects.
"""
is_treatment = treatment != self.control_name
w = is_treatment.astype(int)
X = np.hstack((w.reshape((-1, 1)), X))
X[:, 0] = 0 # set the treatment column to zero (the control group)
yhat_c = self.model.predict(X)
X[:, 0] = 1 # set the treatment column to one (the treatment group)
yhat_t = self.model.predict(X)
if y is not None:
logger.info('RMSE (Control): {:.6f}'.format(
np.sqrt(mse(y[~is_treatment], yhat_c[~is_treatment]))))
logger.info(' MAE (Control): {:.6f}'.format(
mae(y[~is_treatment], yhat_c[~is_treatment])))
logger.info('RMSE (Treatment): {:.6f}'.format(
np.sqrt(mse(y[is_treatment], yhat_t[is_treatment]))))
logger.info(' MAE (Treatment): {:.6f}'.format(
mae(y[is_treatment], yhat_t[is_treatment])))
return (yhat_t - yhat_c).reshape(-1, 1)
def fit_predict(self,
X,
treatment,
y,
return_ci=False,
n_bootstraps=1000,
bootstrap_size=10000,
verbose=False):
"""Fit the inference model of the S learner and predict treatment effects.
Args:
X (np.matrix): a feature matrix
treatment (np.array): a treatment vector
y (np.array): an outcome vector
return_ci (bool, optional): whether to return confidence intervals
n_bootstraps (int, optional): number of bootstrap iterations
bootstrap_size (int, optional): number of samples per bootstrap
verbose (str, optional): whether to output progress logs
Returns:
(numpy.ndarray): Predictions of treatment effects. Output dim: [n_samples, n_treatment].
If return_ci, returns CATE [n_samples, n_treatment], LB [n_samples, n_treatment],
UB [n_samples, n_treatment]
"""
self.fit(X, treatment, y)
te = self.predict(X, treatment, y)
if not return_ci:
return te
else:
start = pd.datetime.today()
te_bootstraps = np.zeros(shape=(X.shape[0], n_bootstraps))
for i in range(n_bootstraps):
te_b = self.bootstrap(X, treatment, y, size=bootstrap_size)
te_bootstraps[:, i] = np.ravel(te_b)
if verbose:
now = pd.datetime.today()
lapsed = (now - start).seconds / 60
logger.info(
'{}/{} bootstraps completed. ({:.01f} min lapsed)'.
format(i + 1, n_bootstraps, lapsed))
te_lower = np.percentile(te_bootstraps, (self.ate_alpha / 2) * 100,
axis=1)
te_upper = np.percentile(te_bootstraps,
(1 - self.ate_alpha / 2) * 100,
axis=1)
return (te, te_lower, te_upper)
def estimate_ate(self, X, treatment, y):
te, te_lb, te_ub = self.fit_predict(X, treatment, y, return_ci=True)
return te.mean(), te_lb.mean(), te_ub.mean()
def bootstrap(self, X, treatment, y, size=10000):
"""Runs a single bootstrap. Fits on bootstrapped sample, then predicts on whole population."""
idxs = np.random.choice(np.arange(0, X.shape[0]), size=size)
X_b = X[idxs]
treatment_b = treatment[idxs]
y_b = y[idxs]
self.fit(X=X_b, treatment=treatment_b, y=y_b)
te_b = self.predict(X=X, treatment=treatment, y=y)
return te_b
