Before revision:  The proofs use tools from differential geometry and geometric measure theory, which may be of independent interest. The practical performance of our method is first demonstrated in a high-dimensional simulation resembling decision-making by machine learning algorithms. Our estimator has smaller mean squared errors compared to alternative estimators. We finally apply our estimator to evaluate the effect of  Coronavirus Aid, Relief, and Economic Security (CARES) Act, where more than  \175 billion worth of relief funding is allocated to hospitals via an algorithmic rule.
After revision:  We apply our estimator to evaluate the effect of Coronavirus Aid, Relief, and Economic Security (CARES) Act, where more than  \175 billion worth of relief funding is allocated to hospitals via an algorithmic rule.