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Table 9: 

Results on Flickr30k for different combinations of the embedding and cross-encoder scores using the functions addλ and norm_addλ and different values for λ. - indicates the results for reranking using only the cross-encoder.

ModelSumλImage RetrievalText Retrieval
R@1R@5R@10R@1R@5R@10
Sep+Coop –  76.0 93.0 95.0 88.7 98.3 99.2 
add 0.1 76.0 92.7 94.8 86.4 98.7 99.2 
0.5 75.7 92.6 94.7 85.9 98.5 99.2 
0.9 74.5 92.5 94.7 85.1 98.3 99.2 
norm_add 0.1 70.8 90.2 93.8 86.2 98.5 99.2 
0.5 70.7 90.3 93.7 85.4 98.4 99.2 
0.9 70.3 90.1 93.7 83.8 97.6 98.8 
 
Joint+Coop –  76.4 93.6 96.2 89.4 97.7 99.0 
add 0.1 76.7 93.3 95.8 88.5 98.0 99.1 
0.5 75.6 93.1 95.5 87.2 97.8 99.1 
0.9 74.6 92.8 95.5 87.3 97.8 99.1 
norm_add 0.1 72.8 92.0 95.2 87.6 97.9 99.2 
0.5 72.5 92.0 95.2 87.3 97.9 99.0 
0.9 72.3 91.8 95.2 86.4 97.0 99.0 
ModelSumλImage RetrievalText Retrieval
R@1R@5R@10R@1R@5R@10
Sep+Coop –  76.0 93.0 95.0 88.7 98.3 99.2 
add 0.1 76.0 92.7 94.8 86.4 98.7 99.2 
0.5 75.7 92.6 94.7 85.9 98.5 99.2 
0.9 74.5 92.5 94.7 85.1 98.3 99.2 
norm_add 0.1 70.8 90.2 93.8 86.2 98.5 99.2 
0.5 70.7 90.3 93.7 85.4 98.4 99.2 
0.9 70.3 90.1 93.7 83.8 97.6 98.8 
 
Joint+Coop –  76.4 93.6 96.2 89.4 97.7 99.0 
add 0.1 76.7 93.3 95.8 88.5 98.0 99.1 
0.5 75.6 93.1 95.5 87.2 97.8 99.1 
0.9 74.6 92.8 95.5 87.3 97.8 99.1 
norm_add 0.1 72.8 92.0 95.2 87.6 97.9 99.2 
0.5 72.5 92.0 95.2 87.3 97.9 99.0 
0.9 72.3 91.8 95.2 86.4 97.0 99.0 
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