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Question on eSCN #15
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Please see my responses below.
Yes, your understanding is right. The paper/implementation of EquiformerV2 only consider the case of SE(3). So if you need parity or E(3), you would need to restrict how L_i and L_f interact.
In this implementation (as well as the implementation of eSCN), we do not consider the parity and the irreps would be like 1x0e+1x1e+1x2e... (no "o"). You would have to keep two copies of irreps (one for even and one for odd) so that you can use something like 1x0e+1x0o... Feel free to let me know if you have any other question. |
Thank you for your reply! |
The node features can have both even and odd irreps like (1x0e+1x0o+1x1e+1x1o...) while the relative positions are of 1x0e+1x1o+1x2e... if E(3) is considered. |
I am sorry to reply so late, but I am still confusion about the implementation of so(2) convolution. The type-L irreps_out from so(3)'s tensor product is a mixture of type-(L,e) and type-(L,o) irreps from the perspective of o(3), right? Therefore equilformerV2 considering se(3) only do not need to distinguish parity? |
Yes, I think what you said are correct. |
Hello, I have a question about eSCN.
I have read the section "A.3 ESCN CONVOLUTION" of your paper, and I wonder is there an implicit condition for the summation running the irreps order L_i and L_f? More specifically, assuming tensor product "1ox(0e+1o+2e)", I want to consider "1o" as output irreps. So, how does equiformerv2 distinguish the odd irreps "1o" that comes from "1ox(0e+2e)" and even irreps "1e" that comes from "1ox1o"?
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