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Some original ideas will likely be needed, but in general this should be achievable simply through measuring the dot-product similarities of F1 and F2 (and also softmaxing them) to see what tokens the model is paying attention to, then factor in the querying aspect.
A good entry point would be to reproduce a variation of the pairwise Attention diagram found in the appendix of Attention is All you Need
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enhancementNew feature or requestNew feature or request