Table of Links Abstract and 1 Introduction Abstract and 1 Introduction Related Work
2.1. Multimodal Learning
2.2. Multiple Instance Learning


Methodology
3.1. Preliminaries and Notations
3.2. Relations between Attention-based VPG and MIL
3.3. MIVPG for Multiple Visual Inputs
3.4. Unveiling Instance Correlation in MIVPG for Enhanced Multi-instance Scenarios


Experiments and 4.1. General Setup
4.2. Scenario 1: Samples with Single Image
4.3. Scenario 2: Samples with Multiple Images, with Each Image as a General Embedding
4.4. Scenario 3: Samples with Multiple Images, with Each Image Having Multiple Patches to be Considered and 4.5. Case Study


Conclusion and References Related Work
2.1. Multimodal Learning
2.2. Multiple Instance Learning Related Work 2.1. Multimodal Learning 2.1. Multimodal Learning 2.2. Multiple Instance Learning 2.2. Multiple Instance Learning Methodology
3.1. Preliminaries and Notations
3.2. Relations between Attention-based VPG and MIL
3.3. MIVPG for Multiple Visual Inputs
3.4. Unveiling Instance Correlation in MIVPG for Enhanced Multi-instance Scenarios Methodology 3.1. Preliminaries and Notations 3.1. Preliminaries and Notations 3.2. Relations between Attention-based VPG and MIL 3.2. Relations between Attention-based VPG and MIL 3.3. MIVPG for Multiple Visual Inputs 3.3. MIVPG for Multiple Visual Inputs 3.4. Unveiling Instance Correlation in MIVPG for Enhanced Multi-instance Scenarios 3.4. Unveiling Instance Correlation in MIVPG for Enhanced Multi-instance Scenarios Experiments and 4.1. General Setup
4.2. Scenario 1: Samples with Single Image
4.3. Scenario 2: Samples with Multiple Images, with Each Image as a General Embedding
4.4. Scenario 3: Samples with Multiple Images, with Each Image Having Multiple Patches to be Considered and 4.5. Case Study Experiments and 4.1. General Setup Experiments and 4.1. General Setup 4.2. Scenario 1: Samples with Single Image 4.2. Scenario 1: Samples with Single Image 4.3. Scenario 2: Samples with Multiple Images, with Each Image as a General Embedding 4.3. Scenario 2: Samples with Multiple Images, with Each Image as a General Embedding 4.4. Scenario 3: Samples with Multiple Images, with Each Image Having Multiple Patches to be Considered and 4.5. Case Study 4.4. Scenario 3: Samples with Multiple Images, with Each Image Having Multiple Patches to be Considered and 4.5. Case Study Conclusion and References Conclusion and References Conclusion and References Supplementary Material Supplementary Material A. Detailed Architecture of QFormer A. Detailed Architecture of QFormer B. Proof of Proposition B. Proof of Proposition C. More Experiments C. More Experiments B. Proof of Proposition In Proposition 2, we illustrate that MIVPG, when augmented with the CSA (Correlated Self-Attention) module, maintains the crucial permutation invariance property of MIL. In this section, we provide a theoretical demonstration of this property. Proof. Recall that both the original cross-attention and self-attention mechanisms have already demonstrated permutation equivalence for the visual inputs (Property 1 in [19] and Proposition 1 in the main paper). Our objective is to establish that the CSA module also maintains this permutation equivalence, ensuring that the final query embeddings exhibit permutation invariance. Proof Authors:
(1) Wenliang Zhong, The University of Texas at Arlington (wxz9204@mavs.uta.edu);
(2) Wenyi Wu, Amazon (wenyiwu@amazon.com);
(3) Qi Li, Amazon (qlimz@amazon.com);
(4) Rob Barton, Amazon (rab@amazon.com);
(5) Boxin Du, Amazon (boxin@amazon.com);
(6) Shioulin Sam, Amazon (shioulin@amazon.com);
(7) Karim Bouyarmane, Amazon (bouykari@amazon.com);
(8) Ismail Tutar, Amazon (ismailt@amazon.com);
(9) Junzhou Huang, The University of Texas at Arlington (jzhuang@uta.edu). Authors: Authors: (1) Wenliang Zhong, The University of Texas at Arlington (wxz9204@mavs.uta.edu); (2) Wenyi Wu, Amazon (wenyiwu@amazon.com); (3) Qi Li, Amazon (qlimz@amazon.com); (4) Rob Barton, Amazon (rab@amazon.com); (5) Boxin Du, Amazon (boxin@amazon.com); (6) Shioulin Sam, Amazon (shioulin@amazon.com); (7) Karim Bouyarmane, Amazon (bouykari@amazon.com); (8) Ismail Tutar, Amazon (ismailt@amazon.com); (9) Junzhou Huang, The University of Texas at Arlington (jzhuang@uta.edu). This paper is available on arxiv under CC by 4.0 Deed (Attribution 4.0 International) license. This paper is available on arxiv under CC by 4.0 Deed (Attribution 4.0 International) license. available on arxiv available on arxiv

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Theoretical Proof: CSA Module Maintains MIL Properties

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