How will ADA Boost be used for solving regression problems?
Here are link to some famous boost of regressor.

Adaboost.R2: Improving Regressors using Boosting Techniques
Adaboost.RT: Experiments with AdaBoost.RT, an Improved Boosting
Scheme for Regression

Scikit-Learn have many implementations:

AdaBoostRegressor
Decision Tree Regression with AdaBoost