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B-Learner: Quasi-Oracle Bounds on Heterogeneous Causal Effects Under Hidden Confounding

Metalearner for estimating lower and upper bounds of conditional average treatment effects (CATEs) in the presence of unobserved confounding. These bounds are sharp, valid and have quasi-oracle efficiency.

Replication code for B-Learner: Quasi-Oracle Bounds on Heterogeneous Causal Effects Under Hidden Confounding.

Requirements

Example Usage

We train the BLearner on an observational dataset $Z=(X, A, Y)$ and predict the bounds on a test set $X_{test}$.

from sklearn.ensemble import RandomForestRegressor, RandomForestClassifier
from sklearn_quantile import RandomForestQuantileRegressor
from models.blearner.nuisance import RFKernel, KernelSuperquantileRegressor
from models.blearner import BLearner

gamma = np.e # corresponds to Lambda in the paper 
tau = gamma / (1+gamma)

# Propensity model
propensity_model = RandomForestClassifier()
# Outcome model
mu_model = RandomForestRegressor()
# Quantiles
quantile_model_upper = RandomForestQuantileRegressor(q=tau)
quantile_model_lower = RandomForestQuantileRegressor(q=1-tau)
# CVaR model
cvar_model_upper = KernelSuperquantileRegressor(
        kernel=RFKernel(clone(mu_model, safe=False)),
        tau=tau,
        tail="right")
cvar_model_lower = KernelSuperquantileRegressor(
        kernel=RFKernel(clone(mu_model, safe=False)),
        tau=1-tau,
        tail="left")
# Bounds model
cate_bounds_model = RandomForestRegressor()
# BLearner estimator
BLearner_est = BLearner(
    propensity_model = propensity_model, 
    quantile_plus_model = quantile_model_upper, 
    quantile_minus_model = quantile_model_lower,
    mu_model = mu_model, 
    cvar_plus_model = cvar_model_upper, 
    cvar_minus_model = cvar_model_lower, 
    cate_bounds_model = cate_bounds_model, 
    use_rho=True,
    gamma=gamma)
BLearner_est.fit(X, A, Y)
lower_bound, upper_bound = BLearner_est.effect(X_test)

Replication Code for Paper

The following commands will replicate the figures from the B-Learner paper.

  • For Figure 1, run python rates.py
  • For Figure 2, run python compute_intervals.py
  • For Figure 3, run python 401k.py