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<caption>Figure 1: Mapping from MAE$_{Huge}$ (images) to OPT$_{30B}$ (text). Gold labels are in green.</caption>
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<caption>Figure 2: Experiments stages: During our experiments, words, sentences, and images are selected from the aliases list (wordlist and ImageNet-21K aliases), Wikipedia and ImageNet-21K, respectively. The source and target spaces are constructed utilizing image and word embeddings which are extracted by specialized vision and language models.</caption>
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10f78bd7-6479-4523-8123-6e5bf55eedd8 | 2302.06555v2.pdf | table | <table>
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<caption>Table 1: Statistics of the bimodal dictionaries.</caption>
<row_0><col_0><location><page_4><loc_53><loc_91><loc_54><loc_92></location><col_header>Set</col_0><col_1><location><page_4><loc_61><loc_91><loc_69><loc_92></location><col_header>Num. of classes</col_1><col_2><location><page_4><loc_71><loc_91><loc_79><loc_92></location><col_header>Num. of aliases</col_2><col_3><location><page_4><loc_80><loc_91><loc_88><loc_92></location><col_header>Num. of pairs</col_3></row_0>
<row_1><col_0><location><page_4><loc_53><loc_90><loc_57><loc_90></location><row_header>Only-1K</col_0><col_1><location><page_4><loc_67><loc_90><loc_69><loc_90></location><body>491</col_1><col_2><location><page_4><loc_77><loc_90><loc_79><loc_90></location><body>655</col_2><col_3><location><page_4><loc_86><loc_90><loc_88><loc_90></location><body>655</col_3></row_1>
<row_2><col_0><location><page_4><loc_53><loc_88><loc_59><loc_89></location><row_header>Exclude-1K</col_0><col_1><location><page_4><loc_66><loc_88><loc_69><loc_89></location><body>5,942</col_1><col_2><location><page_4><loc_76><loc_88><loc_79><loc_89></location><body>7,194</col_2><col_3><location><page_4><loc_85><loc_88><loc_88><loc_89></location><body>7,194</col_3></row_2>
<row_3><col_0><location><page_4><loc_53><loc_87><loc_58><loc_88></location><row_header>EN-CLDI</col_0><col_1><location><page_4><loc_66><loc_87><loc_69><loc_88></location><body>1,690</col_1><col_2><location><page_4><loc_76><loc_87><loc_79><loc_88></location><body>1,690</col_2><col_3><location><page_4><loc_85><loc_87><loc_88><loc_88></location><body>1,690</col_3></row_3>
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a1fbbeb1-feae-4429-aba4-487d27624f58 | 2302.06555v2.pdf | table | <table>
<location><page_5><loc_12><loc_86><loc_49><loc_93></location>
<caption>Table 2: Alignment results for our baselines. All the Precision@ k scores are reported in percentage.</caption>
<row_0><col_0><location><page_5><loc_13><loc_91><loc_18><loc_92></location><col_header>Baseline</col_0><col_1><location><page_5><loc_33><loc_91><loc_36><loc_92></location><col_header>P@1</col_1><col_2><location><page_5><loc_38><loc_91><loc_42><loc_92></location><col_header>P@10</col_2><col_3><location><page_5><loc_43><loc_91><loc_48><loc_92></location><col_header>P@100</col_3></row_0>
<row_1><col_0><location><page_5><loc_13><loc_89><loc_24><loc_90></location><row_header>Random retrieval</col_0><col_1><location><page_5><loc_32><loc_89><loc_36><loc_90></location><body>0.0015</col_1><col_2><location><page_5><loc_38><loc_89><loc_42><loc_90></location><body>0.0153</col_2><col_3><location><page_5><loc_44><loc_89><loc_48><loc_90></location><body>0.1531</col_3></row_1>
<row_2><col_0><location><page_5><loc_13><loc_88><loc_30><loc_89></location><row_header>Length-frequency alignment</col_0><col_1><location><page_5><loc_32><loc_88><loc_36><loc_89></location><body>0.0032</col_1><col_2><location><page_5><loc_38><loc_88><loc_42><loc_89></location><body>0.0127</col_2><col_3><location><page_5><loc_44><loc_88><loc_48><loc_89></location><body>0.6053</col_3></row_2>
<row_3><col_0><location><page_5><loc_13><loc_87><loc_29><loc_87></location><row_header>Non-isomorphic alignment</col_0><col_1><location><page_5><loc_32><loc_87><loc_36><loc_87></location><body>0.0000</col_1><col_2><location><page_5><loc_38><loc_87><loc_42><loc_87></location><body>0.0121</col_2><col_3><location><page_5><loc_44><loc_87><loc_48><loc_87></location><body>0.1105</col_3></row_3>
</table>
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ce60a456-accb-4547-9155-50d103988b31 | 2302.06555v2.pdf | picture | <figure>
<location><page_5><loc_52><loc_77><loc_88><loc_93></location>
<caption>Figure 3: t-SNE plot of 5 words mapped from MAE$_{Huge}$ (blue) to OPT$_{30B}$ (orange) using Procrustes analysis. The green represent the mapped MAE$_{Huge}$ embeddings.</caption>
</figure>
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3d78256b-e0fe-4a8d-9e8c-ec58a94d1c83 | 2302.06555v2.pdf | picture | <figure>
<location><page_6><loc_13><loc_48><loc_85><loc_89></location>
<caption>Figure 4: LMs converge toward the geometry of visual models as they grow larger on Exclude-1K set.</caption>
</figure>
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5f4fb9f1-9287-4ee6-97c3-e48f02c341c9 | 2302.06555v2.pdf | picture | <figure>
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<caption>Figure 5: Examples featuring the 100 nearest neighbors in the mapping of image classes into the language representation space (from MAE$_{Huge}$ to OPT$_{30B}$). The golden labels are highlighted in green.</caption>
</figure>
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583453b3-f997-478d-9220-520e18d5fa54 | 2302.06555v2.pdf | table | <table>
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<caption>Table 3: Evaluation of POS impact on OPT$_{30B}$ and largest VMs across various families, by showing the influence of different POS on EN-CLDI set. "Mix" denotes a combination of all POS categories.</caption>
<row_0><col_0><location><page_7><loc_53><loc_55><loc_58><loc_56></location><col_header>Models</col_0><col_1><location><page_7><loc_62><loc_55><loc_65><loc_56></location><col_header>Train</col_1><col_2><location><page_7><loc_67><loc_55><loc_70><loc_56></location><col_header>Test</col_2><col_3><location><page_7><loc_72><loc_55><loc_75><loc_56></location><col_header>P@1</col_3><col_4><location><page_7><loc_77><loc_55><loc_81><loc_56></location><col_header>P@10</col_4><col_5><location><page_7><loc_83><loc_55><loc_87><loc_56></location><col_header>P@100</col_5></row_0>
<row_1><col_0><location><page_7><loc_53><loc_53><loc_59><loc_54></location><body>MAE$_{Huge}$</col_0><col_1><location><page_7><loc_62><loc_51><loc_65><loc_53></location><body>Noun 1337</col_1><col_2><location><page_7><loc_67><loc_51><loc_70><loc_53></location><body>Adj. 157</col_2><col_3><location><page_7><loc_73><loc_53><loc_75><loc_54></location><body>2.5</col_3><col_4><location><page_7><loc_78><loc_53><loc_81><loc_54></location><body>15.9</col_4><col_5><location><page_7><loc_85><loc_53><loc_87><loc_54></location><body>50.9</col_5></row_1>
<row_2><col_0><location><page_7><loc_53><loc_51><loc_57><loc_52></location><body>SF-B5</col_0><col_1><location><page_7><loc_62><loc_51><loc_65><loc_53></location><body>Noun 1337</col_1><col_2><location><page_7><loc_67><loc_51><loc_70><loc_53></location><body>Adj. 157</col_2><col_3><location><page_7><loc_73><loc_51><loc_75><loc_52></location><body>3.2</col_3><col_4><location><page_7><loc_78><loc_51><loc_81><loc_52></location><body>19.1</col_4><col_5><location><page_7><loc_85><loc_51><loc_87><loc_52></location><body>53.5</col_5></row_2>
<row_3><col_0><location><page_7><loc_53><loc_50><loc_60><loc_51></location><body>ResNet152</col_0><col_1><location><page_7><loc_62><loc_51><loc_65><loc_53></location><body>Noun 1337</col_1><col_2><location><page_7><loc_67><loc_51><loc_70><loc_53></location><body>Adj. 157</col_2><col_3><location><page_7><loc_73><loc_50><loc_75><loc_51></location><body>0.6</col_3><col_4><location><page_7><loc_78><loc_50><loc_81><loc_51></location><body>22.9</col_4><col_5><location><page_7><loc_85><loc_50><loc_87><loc_51></location><body>57.3</col_5></row_3>
<row_4><col_0><location><page_7><loc_53><loc_47><loc_59><loc_49></location><body>MAE$_{Huge}$ SF-B5</col_0><col_1><location><page_7><loc_62><loc_46><loc_65><loc_48></location><body>Noun 1337</col_1><col_2><location><page_7><loc_67><loc_46><loc_70><loc_48></location><body>Verb 196</col_2><col_3><location><page_7><loc_73><loc_48><loc_75><loc_49></location><body>0.5</col_3><col_4><location><page_7><loc_79><loc_48><loc_81><loc_49></location><body>8.7</col_4><col_5><location><page_7><loc_85><loc_48><loc_87><loc_49></location><body>49.5</col_5></row_4>
<row_5><col_0><body></col_0><col_1><location><page_7><loc_62><loc_46><loc_65><loc_48></location><body>Noun 1337</col_1><col_2><location><page_7><loc_67><loc_46><loc_70><loc_48></location><body>Verb 196</col_2><col_3><location><page_7><loc_73><loc_47><loc_75><loc_48></location><body>1.0</col_3><col_4><location><page_7><loc_78><loc_47><loc_81><loc_48></location><body>10.7</col_4><col_5><location><page_7><loc_85><loc_47><loc_87><loc_48></location><body>56.1</col_5></row_5>
<row_6><col_0><location><page_7><loc_53><loc_45><loc_60><loc_46></location><body>ResNet152</col_0><col_1><location><page_7><loc_62><loc_46><loc_65><loc_48></location><body>Noun 1337</col_1><col_2><location><page_7><loc_67><loc_46><loc_70><loc_48></location><body>Verb 196</col_2><col_3><location><page_7><loc_73><loc_45><loc_75><loc_46></location><body>0.0</col_3><col_4><location><page_7><loc_78><loc_45><loc_81><loc_46></location><body>13.8</col_4><col_5><location><page_7><loc_85><loc_45><loc_87><loc_46></location><body>61.2</col_5></row_6>
<row_7><col_0><location><page_7><loc_53><loc_43><loc_59><loc_44></location><body>MAE$_{Huge}$</col_0><col_1><location><page_7><loc_62><loc_43><loc_64><loc_44></location><body>Mix</col_1><col_2><location><page_7><loc_67><loc_43><loc_70><loc_44></location><body>Mix</col_2><col_3><location><page_7><loc_73><loc_43><loc_75><loc_44></location><body>6.7</col_3><col_4><location><page_7><loc_78><loc_43><loc_81><loc_44></location><body>45.6</col_4><col_5><location><page_7><loc_85><loc_43><loc_87><loc_44></location><body>77.8</col_5></row_7>
<row_8><col_0><location><page_7><loc_53><loc_42><loc_57><loc_43></location><body>SF-B5</col_0><col_1><location><page_7><loc_62><loc_41><loc_65><loc_42></location><body>1337</col_1><col_2><location><page_7><loc_67><loc_41><loc_69><loc_42></location><body>353</col_2><col_3><location><page_7><loc_73><loc_42><loc_75><loc_43></location><body>6.9</col_3><col_4><location><page_7><loc_78><loc_42><loc_81><loc_43></location><body>48.8</col_4><col_5><location><page_7><loc_85><loc_42><loc_87><loc_43></location><body>80.1</col_5></row_8>
<row_9><col_0><location><page_7><loc_53><loc_40><loc_60><loc_41></location><body>ResNet152</col_0><col_1><location><page_7><loc_62><loc_43><loc_64><loc_44></location><body>Mix</col_1><col_2><location><page_7><loc_67><loc_43><loc_70><loc_44></location><body>Mix</col_2><col_3><location><page_7><loc_73><loc_40><loc_75><loc_41></location><body>4.8</col_3><col_4><location><page_7><loc_78><loc_40><loc_81><loc_41></location><body>51.7</col_4><col_5><location><page_7><loc_85><loc_40><loc_87><loc_41></location><body>81.9</col_5></row_9>
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<caption>Figure 6: Illustrating the impact of scaling VMs up on Exclude-1K set. The incremental growth in P@100 for scaled-up VMs is marginal, contrasting with the more substantial increase observed when scaling up LMs in the same family.</caption>
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f3412045-5604-4835-aff2-7ecdbf56a73d | 2302.06555v2.pdf | table | <table>
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<caption>Table 4: Effect of image dispersion on mapping performance of various LMs and VMs across different levels of image dispersion in terms of P@100 scores on the Exclude-1K set. SF=SegFormer.</caption>
<row_0><col_0><location><page_8><loc_13><loc_61><loc_16><loc_62></location><col_header>Models</col_0><col_1><location><page_8><loc_19><loc_61><loc_21><loc_62></location><col_header>Disp.</col_1><col_2><location><page_8><loc_23><loc_61><loc_25><loc_62></location><col_header>Pairs</col_2><col_3><location><page_8><loc_26><loc_61><loc_31><loc_62></location><col_header>BERT$_{Large}$</col_3><col_4><location><page_8><loc_32><loc_61><loc_36><loc_62></location><col_header>GPT-2$_{XL}$</col_4><col_5><location><page_8><loc_38><loc_61><loc_43><loc_62></location><col_header>LLaMA-2$_{13B}$</col_5><col_6><location><page_8><loc_45><loc_61><loc_48><loc_62></location><col_header>OPT$_{30B}$</col_6></row_0>
<row_1><col_0><location><page_8><loc_13><loc_59><loc_16><loc_59></location><body>SF-B5</col_0><col_1><location><page_8><loc_19><loc_60><loc_21><loc_60></location><body>low</col_1><col_2><location><page_8><loc_23><loc_60><loc_25><loc_60></location><body>703.8</col_2><col_3><location><page_8><loc_29><loc_60><loc_31><loc_60></location><body>43.2</col_3><col_4><location><page_8><loc_34><loc_60><loc_36><loc_60></location><body>47.8</col_4><col_5><location><page_8><loc_42><loc_60><loc_43><loc_60></location><body>58.7</col_5><col_6><location><page_8><loc_46><loc_60><loc_48><loc_60></location><body>60.6</col_6></row_1>
<row_2><col_0><location><page_8><loc_13><loc_59><loc_16><loc_59></location><body>SF-B5</col_0><col_1><location><page_8><loc_19><loc_59><loc_21><loc_59></location><body>med.</col_1><col_2><location><page_8><loc_23><loc_59><loc_25><loc_59></location><body>744.4</col_2><col_3><location><page_8><loc_29><loc_59><loc_31><loc_59></location><body>42.2</col_3><col_4><location><page_8><loc_34><loc_59><loc_36><loc_59></location><body>48.7</col_4><col_5><location><page_8><loc_42><loc_59><loc_43><loc_59></location><body>56.9</col_5><col_6><location><page_8><loc_46><loc_59><loc_48><loc_59></location><body>60.4</col_6></row_2>
<row_3><col_0><location><page_8><loc_13><loc_59><loc_16><loc_59></location><body>SF-B5</col_0><col_1><location><page_8><loc_19><loc_58><loc_21><loc_58></location><body>high</col_1><col_2><location><page_8><loc_23><loc_58><loc_25><loc_58></location><body>714.8</col_2><col_3><location><page_8><loc_29><loc_58><loc_31><loc_58></location><body>43.3</col_3><col_4><location><page_8><loc_34><loc_58><loc_36><loc_58></location><body>47.1</col_4><col_5><location><page_8><loc_42><loc_58><loc_43><loc_58></location><body>53.3</col_5><col_6><location><page_8><loc_46><loc_58><loc_48><loc_58></location><body>57.6</col_6></row_3>
<row_4><col_0><location><page_8><loc_13><loc_55><loc_17><loc_56></location><body>MAE$_{Huge}$</col_0><col_1><location><page_8><loc_19><loc_56><loc_21><loc_57></location><body>low</col_1><col_2><location><page_8><loc_23><loc_56><loc_25><loc_57></location><body>847.6</col_2><col_3><location><page_8><loc_29><loc_56><loc_31><loc_57></location><body>40.9</col_3><col_4><location><page_8><loc_34><loc_56><loc_36><loc_57></location><body>44.7</col_4><col_5><location><page_8><loc_42><loc_56><loc_43><loc_57></location><body>54.9</col_5><col_6><location><page_8><loc_46><loc_56><loc_48><loc_57></location><body>56.7</col_6></row_4>
<row_5><col_0><location><page_8><loc_13><loc_55><loc_17><loc_56></location><body>MAE$_{Huge}$</col_0><col_1><location><page_8><loc_19><loc_55><loc_21><loc_56></location><body>med.</col_1><col_2><location><page_8><loc_23><loc_55><loc_25><loc_56></location><body>683.8</col_2><col_3><location><page_8><loc_29><loc_55><loc_31><loc_56></location><body>37.7</col_3><col_4><location><page_8><loc_34><loc_55><loc_36><loc_56></location><body>43.6</col_4><col_5><location><page_8><loc_42><loc_55><loc_43><loc_56></location><body>53.8</col_5><col_6><location><page_8><loc_46><loc_55><loc_48><loc_56></location><body>55.3</col_6></row_5>
<row_6><col_0><location><page_8><loc_13><loc_55><loc_17><loc_56></location><body>MAE$_{Huge}$</col_0><col_1><location><page_8><loc_19><loc_54><loc_21><loc_55></location><body>high</col_1><col_2><location><page_8><loc_23><loc_54><loc_25><loc_55></location><body>631.6</col_2><col_3><location><page_8><loc_29><loc_54><loc_31><loc_55></location><body>32.7</col_3><col_4><location><page_8><loc_34><loc_54><loc_36><loc_55></location><body>40.1</col_4><col_5><location><page_8><loc_42><loc_54><loc_43><loc_55></location><body>46.7</col_5><col_6><location><page_8><loc_46><loc_54><loc_48><loc_55></location><body>54.3</col_6></row_6>
<row_7><col_0><location><page_8><loc_13><loc_52><loc_18><loc_53></location><body>ResNet152</col_0><col_1><location><page_8><loc_19><loc_53><loc_21><loc_54></location><body>low</col_1><col_2><location><page_8><loc_23><loc_53><loc_25><loc_54></location><body>683.0</col_2><col_3><location><page_8><loc_29><loc_53><loc_31><loc_54></location><body>50.6</col_3><col_4><location><page_8><loc_34><loc_53><loc_36><loc_54></location><body>57.6</col_4><col_5><location><page_8><loc_42><loc_53><loc_43><loc_54></location><body>71.3</col_5><col_6><location><page_8><loc_46><loc_53><loc_48><loc_54></location><body>70.5</col_6></row_7>
<row_8><col_0><location><page_8><loc_13><loc_52><loc_18><loc_53></location><body>ResNet152</col_0><col_1><location><page_8><loc_19><loc_52><loc_21><loc_53></location><body>med.</col_1><col_2><location><page_8><loc_23><loc_52><loc_25><loc_53></location><body>739.8</col_2><col_3><location><page_8><loc_29><loc_52><loc_31><loc_53></location><body>45.8</col_3><col_4><location><page_8><loc_34><loc_52><loc_36><loc_53></location><body>51.8</col_4><col_5><location><page_8><loc_42><loc_52><loc_43><loc_53></location><body>60.8</col_5><col_6><location><page_8><loc_46><loc_52><loc_48><loc_53></location><body>63.4</col_6></row_8>
<row_9><col_0><location><page_8><loc_13><loc_52><loc_18><loc_53></location><body>ResNet152</col_0><col_1><location><page_8><loc_19><loc_51><loc_21><loc_52></location><body>high</col_1><col_2><location><page_8><loc_23><loc_51><loc_25><loc_52></location><body>740.2</col_2><col_3><location><page_8><loc_29><loc_51><loc_31><loc_52></location><body>43.1</col_3><col_4><location><page_8><loc_34><loc_51><loc_36><loc_52></location><body>46.8</col_4><col_5><location><page_8><loc_42><loc_51><loc_43><loc_52></location><body>56.7</col_5><col_6><location><page_8><loc_46><loc_51><loc_48><loc_52></location><body>58.4</col_6></row_9>
</table>
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