Deep Equilibrium Multimodal Fusion
Not on the map. Why?
Abstract (arXiv)
Multimodal fusion integrates the complementary information present in multiple modalities and has gained much attention recently. Most existing fusion approaches either learn a fixed fusion strategy during training and inference, or are only capable of fusing the information to a certain extent. Such solutions may fail to fully capture the dynamics of interactions across modalities especially when there are complex intra- and inter-modality correlations to be considered for informative multimodal fusion. In this paper, we propose a novel deep equilibrium (DEQ) method towards multimodal fusion via seeking a fixed point of the dynamic multimodal fusion process and modeling the feature correlations in an adaptive and recursive manner. This new way encodes the rich information within and across modalities thoroughly from low level to high level for efficacious downstream multimodal learning and is readily pluggable to various multimodal frameworks. Extensive experiments on BRCA, MM-IMDB, CMU-MOSI, SUN RGB-D, and VQA-v2 demonstrate the superiority of our DEQ fusion. More remarkably, DEQ fusion consistently achieves state-of-the-art performance on multiple multimodal benchmarks. The code will be released.
Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Builds on 52 of its 71 references that are in the map. First posted on arXiv 29 Jun 2023.
Builds on
52 of 71 references.
References · 52
- 2017Attention Is All You Needcited by 59,932
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,204
- 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,082
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
- 2018Neural Ordinary Differential Equationscited by 3,733
- 2016Making the V in VQA Matter: Elevating the Role of Image Understanding in Visual Question Answeringcited by 2,498
- 2020RAFT: Recurrent All-Pairs Field Transforms for Optical Flowcited by 2,385
- 2018Group Normalizationcited by 1,514
- 2014Two-Stream Convolutional Networks for Action Recognition in Videoscited by 1,067
- 2019Deep Hough Voting for 3D Object Detection in Point Cloudscited by 648
- 2019Multimodal Transformer for Unaligned Multimodal Language Sequencescited by 637
38 more
- 2019Deep Equilibrium Modelscited by 603
- 2017OptNet: Differentiable Optimization as a Layer in Neural Networkscited by 588
- 2021Attention Bottlenecks for Multimodal Fusioncited by 361
- 2019Deep Modular Co-Attention Networks for Visual Question Answeringcited by 338
- 2015Skip-Thought Vectorscited by 321
- 2018Efficient Low-rank Multimodal Fusion with Modality-Specific Factorscited by 268
- 2023Multimodal Deep Learningcited by 257
- 2017Gated Multimodal Units for Information Fusioncited by 244
- 2021Group-Free 3D Object Detection via Transformerscited by 215
- 2020X-Linear Attention Networks for Image Captioningcited by 198
- 2016MOSI: Multimodal Corpus of Sentiment Intensity and Subjectivity Analysis in Online Opinion Videoscited by 193
- 2018Learning Factorized Multimodal Representationscited by 171
- 2021Training Graph Neural Networks with 1000 Layerscited by 169
- 2018Memory Fusion Network for Multi-view Sequential Learningcited by 167
- 2018Found in Translation: Learning Robust Joint Representations by Cyclic Translations Between Modalitiescited by 149
- 2020Multiscale Deep Equilibrium Modelscited by 149
- 2021MultiBench: Multiscale Benchmarks for Multimodal Representation Learningcited by 143
- 2017MUTAN: Multimodal Tucker Fusion for Visual Question Answeringcited by 137
- 2020More Diverse Means Better: Multimodal Deep Learning Meets Remote Sensing Imagery Classificationcited by 126
- 2020ImVoteNet: Boosting 3D Object Detection in Point Clouds with Image Votescited by 119
- 2020Deep Multimodal Fusion by Channel Exchangingcited by 117
- 2021Trusted Multi-View Classificationcited by 94
- 2018Multi-attention Recurrent Network for Human Communication Comprehensioncited by 89
- 2018CentralNet: a Multilayer Approach for Multimodal Fusioncited by 86
- 2019MFAS: Multimodal Fusion Architecture Searchcited by 84
- 2019Learning Relationships between Text, Audio, and Video via Deep Canonical Correlation for Multimodal Language Analysiscited by 82
- 2017Attention-Based Multimodal Fusion for Video Descriptioncited by 75
- 2021Stabilizing Equilibrium Models by Jacobian Regularizationcited by 71
- 2022Multi-modal Alignment using Representation Codebookcited by 63
- 2022Deep Equilibrium Optical Flow Estimationcited by 63
- 2020Removing Bias in Multi-modal Classifiers: Regularization by Maximizing Functional Entropiescited by 56
- 2022Dynamic Multimodal Fusioncited by 54
- 2018Multimodal Language Analysis with Recurrent Multistage Fusioncited by 43
- 2021Contrastive Multimodal Fusion with TupleInfoNCEcited by 43
- 2022Deep Equilibrium Approaches to Diffusion Modelscited by 42
- 2015Deep Multimodal Learning for Audio-Visual Speech Recognitioncited by 37
- 2021Implicit Normalizing Flowscited by 28
- 2014Better prediction by use of co-data: Adaptive group-regularized ridge regressioncited by 18
50 most cited of 52 All 52 (JSON)
Built on by
Citing papers per year: 2024: 1; 2025: 1; 2026: 2.
4 papers.
- 2024PEAR: Phrase-Based Hand-Object Interaction Anticipationcited by 10
- 2025Multimodal Representation Learning and Fusioncited by 3
- 2026Lipschitz Multiscale Deep Equilibrium Models: A Theoretically Guaranteed and Accelerated Approachcited by 1
- 2026Mutual Equilibrium: Multimodal Representation Learning through Reciprocal Feedbackcited by 0
- 2026Mutual Equilibrium: Multimodal Representation Learning through Reciprocal Feedback30 Sep 2026
- 2026Lipschitz Multiscale Deep Equilibrium Models: A Theoretically Guaranteed and Accelerated Approach3 Feb 2026
- 2025Multimodal Representation Learning and Fusion25 Jun 2025
- 2024PEAR: Phrase-Based Hand-Object Interaction Anticipation31 Jul 2024