Before revision:   To control in a data-driven way for  potentially high dimensional pre-treatment covariatesthat motivate the selection-on-observables assumptions , we adapt the double machine learning framework  to sample selection problems.
After revision:  To control in a data-driven way for potentially high dimensional pre-treatment covariatesthat motivate the selection-on-observables assumptions , we adapt the double machine learning framework for treatment evaluation to sample selection problems.