Question about DyLinear block

[khchul]

Thanks for the great work!
I've read your paper and got confused in DyLinear blocks and ask here to get some clarifications.

Q, Is DyLinear block applied to each variables independently? In equation (2), I believe that $z_s$ is sized $l_s$ * v * d and W_Interp is sized $w_i * w_o$. How are W_Interp$z_s$ calculated and what is exactly l_out ? Also if it is calculated as independent, why do we need interpolation? Isn't d fixed among different time series?

Thank you

[gasvn]

Yes, DyLinear block applied to each variables independently. Dylinear is used to change to weight shape to make it match various sequence lengths.

[khchul]

Thank you for your clarification!
Though I still can't follow the purpose of DyLinear block.
I first thought it was added to force the variable sized sequences to have fixed length, but realized this cannot be done due to the division of Z_in (since Z²_mid doesn't pass DyLinear operator).

Could you elaborate more of the effect of DyLinear block?
Thank you