Multimodal Generative Models for Scalable Weakly-Supervised Learning
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Abstract (arXiv)
Multiple modalities often co-occur when describing natural phenomena. Learning a joint representation of these modalities should yield deeper and more useful representations. Previous generative approaches to multi-modal input either do not learn a joint distribution or require additional computation to handle missing data. Here, we introduce a multimodal variational autoencoder (MVAE) that uses a product-of-experts inference network and a sub-sampled training paradigm to solve the multi-modal inference problem. Notably, our model shares parameters to efficiently learn under any combination of missing modalities. We apply the MVAE on four datasets and match state-of-the-art performance using many fewer parameters. In addition, we show that the MVAE is directly applicable to weakly-supervised learning, and is robust to incomplete supervision. We then consider two case studies, one of learning image transformations---edge detection, colorization, segmentation---as a set of modalities, followed by one of machine translation between two languages. We find appealing results across this range of tasks.
Key facts. Cited by 200 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 Feb 2018.
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Citing papers per year: 2019: 1; 2020: 1; 2021: 26; 2022: 35; 2023: 33; 2024: 36; 2025: 34; 2026: 34.
200 papers.
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- 2022MultiMAE: Multi-modal Multi-task Masked Autoencoderscited by 287
- 2021SMIL: Multimodal Learning with Severely Missing Modalitycited by 243
- 2019Variational Mixture-of-Experts Autoencoders for Multi-Modal Deep Generative Modelscited by 177
- 2021MultiBench: Multiscale Benchmarks for Multimodal Representation Learningcited by 143
- 2022CyCLIP: Cyclic Contrastive Language-Image Pretrainingcited by 127
- 2022Foundations and Trends in Multimodal Machine Learning: Principles, Challenges, and Open Questionscited by 116
- 2021Generalized Multimodal ELBOcited by 86
- 2023Quantifying & Modeling Multimodal Interactions: An Information Decomposition Frameworkcited by 81
- 2024Visual Decoding and Reconstruction via EEG Embeddings with Guided Diffusioncited by 79
- 2021Multimodal Conditional Image Synthesis with Product-of-Experts GANscited by 75
- 2023Factorized Contrastive Learning: Going Beyond Multi-view Redundancycited by 73
- 2024Retrieval-Augmented Generation for Natural Language Processing: A Surveycited by 70
38 more
- 2022Training and Inference on Any-Order Autoregressive Models the Right Waycited by 64
- 2022Decoding Visual Neural Representations by Multimodal Learning of Brain-Visual-Linguistic Featurescited by 63
- 2023Identifiability Results for Multimodal Contrastive Learningcited by 58
- 2021Multi-VAE: Learning Disentangled View-common and View-peculiar Visual Representations for Multi-view Clusteringcited by 51
- 2022Multimodal Information Bottleneck: Learning Minimal Sufficient Unimodal and Multimodal Representationscited by 48
- 2022A survey of multimodal deep generative modelscited by 47
- 2021A Variational Information Bottleneck Approach to Multi-Omics Data Integrationcited by 40
- 2022Geometric Multimodal Contrastive Representation Learningcited by 40
- 2021On the Limitations of Multimodal VAEscited by 37
- 2023Multimodal Variational Auto-encoder based Audio-Visual Segmentationcited by 37
- 2023BrainCLIP: Bridging Brain and Visual-Linguistic Representation Via CLIP for Generic Natural Visual Stimulus Decodingcited by 36
- 2022Mitigating Modality Collapse in Multimodal VAEs via Impartial Optimizationcited by 32
- 2024Recent Advances in Generative AI and Large Language Models: Current Status, Challenges, and Perspectivescited by 30
- 2022Cross-Modal 3D Shape Generation and Manipulationcited by 27
- 2022Representation Uncertainty in Self-Supervised Learning as Variational Inferencecited by 22
- 2024Efficient LLM Comparative Assessment: a Product of Experts Framework for Pairwise Comparisonscited by 22
- 2021Learning Multimodal VAEs through Mutual Supervisioncited by 18
- 2022Medical Image Segmentation on MRI Images with Missing Modalities: A Reviewcited by 18
- 2023Calibrating Multimodal Learningcited by 17
- 2023MoCaE: Mixture of Calibrated Experts Significantly Improves Object Detectioncited by 17
- 2021Reconstructing Nonlinear Dynamical Systems from Multi-Modal Time Seriescited by 16
- 2023Towards Anytime Classification in Early-Exit Architectures by Enforcing Conditional Monotonicitycited by 16
- 2025A Survey on Active Feature Acquisition Strategiescited by 16
- 2021Gaussian Mixture Variational Autoencoder with Contrastive Learning for Multi-Label Classificationcited by 15
- 2024Leveraging Foundation Models for Multi-modal Federated Learning with Incomplete Modalitycited by 14
- 2021Multi-Modal Mutual Information (MuMMI) Training for Robust Self-Supervised Deep Reinforcement Learningcited by 13
- 2022Deep Multi-Modal Structural Equations For Causal Effect Estimation With Unstructured Proxiescited by 13
- 2022Integrating Multimodal Data for Joint Generative Modeling of Complex Dynamicscited by 13
- 2023Exploring and Exploiting Uncertainty for Incomplete Multi-View Classificationcited by 13
- 2023Unified Brain MR-Ultrasound Synthesis using Multi-Modal Hierarchical Representationscited by 13
- 2024Unity by Diversity: Improved Representation Learning in Multimodal VAEscited by 13
- 2025Robust Multimodal Survival Prediction with the Latent Differentiation Conditional Variational AutoEncodercited by 13
- 2021Variational Selective Autoencoder: Learning from Partially-Observed Heterogeneous Datacited by 10
- 2021Lifelong Mixture of Variational Autoencoderscited by 10
- 2023Multi-modal Variational Autoencoders for normative modelling across multiple imaging modalitiescited by 10
- 2021Multimodal Variational Autoencoders for Semi-Supervised Learning: In Defense of Product-of-Expertscited by 9
- 2021FairyTailor: A Multimodal Generative Framework for Storytellingcited by 9
- 2022Multimodal sensor fusion in the latent representation spacecited by 9
50 most cited of 200 All 200 (JSON)
- 2026Structured Latent Modeling for Supervised Multimodal Information Decomposition28 Sep 2026
- 2026PoE-Fuse: Precision-Weighted Expert Fusion for Bi-Temporal Change Understanding27 Sep 2026
- 2026Beyond Multimodal Alignment: Certifying Physical Language through Response Substitution and Ordered Execution19 Aug 2026
- 2026FiGuRO: Intrinsic Dimension Estimation for Multi-Modal Data11 Aug 2026
- 2026Conformal Calibration for Multi-Modal Regression with Missing Modalities7 Aug 2026
- 2026Unified Visuomotor Targets: Supervising VLAs Beyond Physical Actions4 Aug 2026
- 2026DAIF: A Data-Driven Intermediate Fusion Framework for Multimodal Supervised Learning via Approximate Message Passing3 Aug 2026
- 2026ShapKO: Shapley-Adaptive Modality Knockout for Robust Multimodal Learning10 Jul 2026
- 2026FUSE: FK-Steered Multi-Modal Flow Matching for Efficient Simulation-Based Posterior Estimation6 Jul 2026
- 2026Variational Autoencoder Layer24 Jun 2026
- 2026MUNI: Multimodal Unified Latent Diffusion for Coherent Any-to-Any Generation15 Jun 2026
- 2026An Attention-based Model for Robust Forecasting with Missing Modality11 Jun 2026
38 more
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- 2026Latent World Recovery for Multimodal Learning with Missing Modalities10 Jun 2026
- 2026AnyMod-LLVE: Low-Light Video Enhancement with Modality-Agnostic Inference9 Jun 2026
- 2026Context-driven Missing-Modality Learning for Robust Medical Diagnosis with Image-Tabular Data25 May 2026
- 2026Multimodal LLMs under Pairwise Modalities20 May 2026
- 2026Constrained latent state modeling: A unifying perspective on representation learning under competing constraints15 May 2026
- 2026Multimodal Deep Generative Model for Semi-Supervised Learning under Class Imbalance7 May 2026
- 2026GraphPL: Leveraging GNN for Efficient and Robust Modalities Imputation in Patchwork Learning28 Apr 2026
- 2026Conditional Evidence Reconstruction and Decomposition for Interpretable Multimodal Diagnosis18 Apr 2026
- 2026MO-RiskVAE: A Multi-Omics Variational Autoencoder for Survival Risk Modeling in Multiple MyelomaMO-RiskVAE7 Apr 2026
- 2026CoVAE: correlated multimodal generative modeling2 Mar 2026
- 2026Characterizing the Predictive Impact of Modalities with Supervised Latent-Variable Modeling19 Feb 2026
- 2026The Manifold of the Absolute: Religious Perennialism as Generative Inference11 Feb 2026
- 2026Multimodal normative modeling in Alzheimers Disease with introspective variational autoencoders8 Feb 2026
- 2026CyIN: Cyclic Informative Latent Space for Bridging Complete and Incomplete Multimodal Learning4 Feb 2026
- 2026MissMAC-Bench: Building Solid Benchmark for Missing Modality Issue in Robust Multimodal Affective Computing31 Jan 2026
- 2026Uncertainty-Aware Multimodal Learning via Conformal Shapley Intervals30 Jan 2026
- 2026Diverse via bounded Agreement: Geometric Regularization for Multimodal Fusion29 Jan 2026
- 2026Contrast-X: A Multi-Modal Contrast Image Synthesis Benchmark and Universal Modality Flow Matching22 Jan 2026
- 2026Imaging-anchored Multiomics in Cardiovascular Disease: Integrating Cardiac Imaging, Bulk, Single-cell, and Spatial Transcriptomics10 Jan 2026
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- 2025Dynamical modeling of nonlinear latent factors in multiscale neural activity with real-time inference13 Dec 2025
- 2025MCMoE: Completing Missing Modalities with Mixture of Experts for Incomplete Multimodal Action Quality Assessment21 Nov 2025
- 2025Reconstruction-Driven Multimodal Representation Learning for Automated Media Understanding17 Nov 2025
- 2025DIVIDE: A Framework for Learning from Independent Multi-Mechanism Data Using Deep Encoders and Gaussian Processes16 Nov 2025
- 2025Calibrated Multimodal Representation Learning with Missing Modalities15 Nov 2025
- 2025DiA-gnostic VLVAE: Disentangled Alignment-Constrained Vision Language Variational AutoEncoder for Robust Radiology Reporting with Missing Modalities8 Nov 2025
- 2025Coupled Flow Matching27 Oct 2025
- 2025Fisher meets Feynman: score-based variational inference with a product of experts24 Oct 2025
- 2025A Flow Model with Low-Rank Transformers for Incomplete Multimodal Survival Analysis22 Oct 2025
- 2025Coupled Transformer Autoencoder for Disentangling Multi-Region Neural Latent Dynamics22 Oct 2025
- 2025Partial Information Decomposition via Normalizing Flows in Latent Gaussian Distributions6 Oct 2025
- 2025Disentanglement of Variations with Multimodal Generative Modeling28 Sep 2025
- 2025Universal Multi-Domain Translation via Diffusion Routers26 Sep 2025
- 2025Robult: Leveraging Redundancy and Modality Specific Features for Robust Multimodal Learning3 Sep 2025
- 2025ShaLa: Multimodal Shared Latent Space Modelling24 Aug 2025
- 2025No Data Wasted: A Semi-supervised Generative Model for Incomplete Multi-view Data Integration with Missing Labels15 Aug 2025
50 newest of 200 All 200 (JSON)
- 2024Visual Decoding and Reconstruction via EEG Embeddings with Guided Diffusioncited by 79
- 2023Multi-modal Latent Diffusioncited by 9
- 2022Image Generation with Multimodal Priors using Denoising Diffusion Probabilistic Modelscited by 5
- 2023PARASOL: Parametric Style Control for Diffusion Image Synthesiscited by 5
- 2022Unite and Conquer: Plug & Play Multi-Modal Synthesis using Diffusion Modelscited by 4
- 2024Multimodal ELBO with Diffusion Decoderscited by 2
- 2026Contrast-X: A Multi-Modal Contrast Image Synthesis Benchmark and Universal Modality Flow Matchingcited by 2
- 2025Coupled Flow Matchingcited by 1
- 2026MUNI: Multimodal Unified Latent Diffusion for Coherent Any-to-Any Generationcited by 1
- 2025Deep Generative Methods and Tire Architecture Designcited by 0
- 2026FUSE: FK-Steered Multi-Modal Flow Matching for Efficient Simulation-Based Posterior Estimationcited by 0
- 2026FUSE: FK-Steered Multi-Modal Flow Matching for Efficient Simulation-Based Posterior Estimation6 Jul 2026
- 2026MUNI: Multimodal Unified Latent Diffusion for Coherent Any-to-Any Generation15 Jun 2026
- 2026Contrast-X: A Multi-Modal Contrast Image Synthesis Benchmark and Universal Modality Flow Matching22 Jan 2026
- 2025Coupled Flow Matching27 Oct 2025
- 2025Deep Generative Methods and Tire Architecture Design15 Jul 2025
- 2024Multimodal ELBO with Diffusion Decoders29 Aug 2024
- 2024Visual Decoding and Reconstruction via EEG Embeddings with Guided Diffusion12 Mar 2024
- 2023Multi-modal Latent Diffusion7 Jun 2023
- 2023PARASOL: Parametric Style Control for Diffusion Image Synthesis11 Mar 2023
- 2022Unite and Conquer: Plug & Play Multi-Modal Synthesis using Diffusion Models1 Dec 2022
- 2022Image Generation with Multimodal Priors using Denoising Diffusion Probabilistic Models10 Jun 2022
- 2019Variational Mixture-of-Experts Autoencoders for Multi-Modal Deep Generative Modelscited by 177
- 2023MoCaE: Mixture of Calibrated Experts Significantly Improves Object Detectioncited by 17
- 2021Lifelong Mixture of Variational Autoencoderscited by 10
- 2021Multimodal Variational Autoencoders for Semi-Supervised Learning: In Defense of Product-of-Expertscited by 9
- 2025MCMoE: Completing Missing Modalities with Mixture of Experts for Incomplete Multimodal Action Quality Assessmentcited by 7
- 2023Learning multi-modal generative models with permutation-invariant encoders and tighter variational objectivescited by 4
- 2026Hellinger Multimodal Variational Autoencoderscited by 2
- 2022Mixture-of-experts VAEs can disregard variation in surjective multimodal datacited by 1
- 2025DiA-gnostic VLVAE: Disentangled Alignment-Constrained Vision Language Variational AutoEncoder for Robust Radiology Reporting with Missing Modalitiescited by 1
- 2022Generalizing Multimodal Variational Methods to Setscited by 0
- 2026Hellinger Multimodal Variational Autoencoders10 Jan 2026
- 2025MCMoE: Completing Missing Modalities with Mixture of Experts for Incomplete Multimodal Action Quality Assessment21 Nov 2025
- 2025DiA-gnostic VLVAE: Disentangled Alignment-Constrained Vision Language Variational AutoEncoder for Robust Radiology Reporting with Missing Modalities8 Nov 2025
- 2023MoCaE: Mixture of Calibrated Experts Significantly Improves Object Detection26 Sep 2023
- 2023Learning multi-modal generative models with permutation-invariant encoders and tighter variational objectives1 Sep 2023
- 2022Generalizing Multimodal Variational Methods to Sets19 Dec 2022
- 2022Mixture-of-experts VAEs can disregard variation in surjective multimodal data11 Apr 2022
- 2021Lifelong Mixture of Variational Autoencoders9 Jul 2021
- 2021Multimodal Variational Autoencoders for Semi-Supervised Learning: In Defense of Product-of-Experts18 Jan 2021
- 2019Variational Mixture-of-Experts Autoencoders for Multi-Modal Deep Generative Models8 Nov 2019
- 2021Multi-Modal Mutual Information (MuMMI) Training for Robust Self-Supervised Deep Reinforcement Learningcited by 13
- 2023Sense, Imagine, Act: Multimodal Perception Improves Model-Based Reinforcement Learning for Head-to-Head Autonomous Racingcited by 1
- 2026Beyond Multimodal Alignment: Certifying Physical Language through Response Substitution and Ordered Executioncited by 0
- 2026Beyond Multimodal Alignment: Certifying Physical Language through Response Substitution and Ordered Execution19 Aug 2026
- 2023Sense, Imagine, Act: Multimodal Perception Improves Model-Based Reinforcement Learning for Head-to-Head Autonomous Racing8 May 2023
- 2021Multi-Modal Mutual Information (MuMMI) Training for Robust Self-Supervised Deep Reinforcement Learning6 Jul 2021
- 2022MultiMAE: Multi-modal Multi-task Masked Autoencoderscited by 287
- 2021SMIL: Multimodal Learning with Severely Missing Modalitycited by 243
- 2021MultiBench: Multiscale Benchmarks for Multimodal Representation Learningcited by 143
- 2022CyCLIP: Cyclic Contrastive Language-Image Pretrainingcited by 127
- 2022Foundations and Trends in Multimodal Machine Learning: Principles, Challenges, and Open Questionscited by 116
- 2021Generalized Multimodal ELBOcited by 86
- 2023Quantifying & Modeling Multimodal Interactions: An Information Decomposition Frameworkcited by 81
- 2021Multimodal Conditional Image Synthesis with Product-of-Experts GANscited by 75
- 2023Factorized Contrastive Learning: Going Beyond Multi-view Redundancycited by 73
- 2022Training and Inference on Any-Order Autoregressive Models the Right Waycited by 64
- 2022Decoding Visual Neural Representations by Multimodal Learning of Brain-Visual-Linguistic Featurescited by 63
- 2023Identifiability Results for Multimodal Contrastive Learningcited by 58
12 most cited of 168 All 168 (JSON)
- 2026Structured Latent Modeling for Supervised Multimodal Information Decomposition28 Sep 2026
- 2026PoE-Fuse: Precision-Weighted Expert Fusion for Bi-Temporal Change Understanding27 Sep 2026
- 2026FiGuRO: Intrinsic Dimension Estimation for Multi-Modal Data11 Aug 2026
- 2026Conformal Calibration for Multi-Modal Regression with Missing Modalities7 Aug 2026
- 2026DAIF: A Data-Driven Intermediate Fusion Framework for Multimodal Supervised Learning via Approximate Message Passing3 Aug 2026
- 2026ShapKO: Shapley-Adaptive Modality Knockout for Robust Multimodal Learning10 Jul 2026
- 2026Variational Autoencoder Layer24 Jun 2026
- 2026An Attention-based Model for Robust Forecasting with Missing Modality11 Jun 2026
- 2026H"older++: Improving the Quality-Coherence Trade-off in Multimodal VAEs11 Jun 2026
- 2026Latent World Recovery for Multimodal Learning with Missing Modalities10 Jun 2026
- 2026AnyMod-LLVE: Low-Light Video Enhancement with Modality-Agnostic Inference9 Jun 2026
- 2026Context-driven Missing-Modality Learning for Robust Medical Diagnosis with Image-Tabular Data25 May 2026
12 newest of 168 All 168 (JSON)