our responses to individual questions and comments. Reviewer # 1 We thank for your positive feedback

We really appreciate the time and expertise you have invested in these reviews. We thank for your positive feedback. It is still possible that there is another method to prove the result for regression. Presentation of Algorithm 2: We will make Algorithm 2 more formal and make the proof of Theorem 8 more readable. A multi-class classification algorithm based on ordinal regression machine.) Thanks for raising this issue, and we will update Section 2.3 to clarify that the Realizable or agnostic settinig: For the sake of clear presentation, we only discussed the realizable setting in the paper.