Regarding the derivation in the paper

[yogeshverma1998]

Hi,

Thanks for providing the code and an interesting paper.

I have a question regarding deriving the score-matching objective via minimizing the KL divergence (Theorem 2). Can you let me know how using the IBP, the terminal terms got canceled or modified to get this objective (in (i) in the image attached) and what $h_{p}^{\top}(x)$ denotes in the following equation in the equation below, as it's not mentioned in theorem anywhere?

Regards,
Yogesh