Generative Flows with Invertible Attentions
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Abstract (arXiv)
Flow-based generative models have shown an excellent ability to explicitly learn the probability density function of data via a sequence of invertible transformations. Yet, learning attentions in generative flows remains understudied, while it has made breakthroughs in other domains. To fill the gap, this paper introduces two types of invertible attention mechanisms, i.e., map-based and transformer-based attentions, for both unconditional and conditional generative flows. The key idea is to exploit a masked scheme of these two attentions to learn long-range data dependencies in the context of generative flows. The masked scheme allows for invertible attention modules with tractable Jacobian determinants, enabling its seamless integration at any positions of the flow-based models. The proposed attention mechanisms lead to more efficient generative flows, due to their capability of modeling the long-term data dependencies. Evaluation on multiple image synthesis tasks shows that the proposed attention flows result in efficient models and compare favorably against the state-of-the-art unconditional and conditional generative flows.
Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). Builds on 54 of its 64 references that are in the map. First posted on arXiv 7 Jun 2021.
Builds on
54 of 64 references.
References · 54
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50 most cited of 54 All 54 (JSON)
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Citing papers per year: 2022: 2; 2023: 5; 2024: 2; 2025: 2; 2026: 2.
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- 2022On the Robustness of Normalizing Flows for Inverse Problems in Imagingcited by 8
- 2023Concurrent Misclassification and Out-of-Distribution Detection for Semantic Segmentation via Energy-Based Normalizing Flowcited by 8
- 2024Task-Driven Uncertainty Quantification in Inverse Problems via Conformal Predictioncited by 8
- 2025MANGO: Multimodal Attention-based Normalizing Flow Approach to Fusion Learningcited by 3
- 2023Neural Diffeomorphic Non-uniform B-spline Flowscited by 2
- 2025Conformal Bounds on Full-Reference Image Quality for Imaging Inverse Problemscited by 2
- 2023Hierarchical Disentangled Representation for Invertible Image Denoising and Beyondcited by 1
- 2024Probabilistic Forecasting of Irregular Time Series via Conditional Flowscited by 1
- 2022How Image Generation Helps Visible-to-Infrared Person Re-Identification?cited by 0
- 2023MixerFlow: MLP-Mixer meets Normalising Flowscited by 0
- 2023Dimension Mixer: Group Mixing of Input Dimensions for Efficient Function Approximationcited by 0
- 2026Generalizing Dynamics Modeling More Easily from Representation Perspectivecited by 0
1 more
- 2026α-Graph: Attention-Infused Normalizing Flow Approach to Tractable Graph Modeling7 Sep 2026
- 2026Generalizing Dynamics Modeling More Easily from Representation Perspective24 Mar 2026
- 2025MANGO: Multimodal Attention-based Normalizing Flow Approach to Fusion Learning13 Aug 2025
- 2025Conformal Bounds on Full-Reference Image Quality for Imaging Inverse Problems14 May 2025
- 2024Task-Driven Uncertainty Quantification in Inverse Problems via Conformal Prediction28 May 2024
- 2024Probabilistic Forecasting of Irregular Time Series via Conditional Flows9 Feb 2024
- 2023Dimension Mixer: Group Mixing of Input Dimensions for Efficient Function Approximation30 Nov 2023
- 2023MixerFlow: MLP-Mixer meets Normalising Flows25 Oct 2023
- 2023Concurrent Misclassification and Out-of-Distribution Detection for Semantic Segmentation via Energy-Based Normalizing Flow16 May 2023
- 2023Neural Diffeomorphic Non-uniform B-spline Flows7 Apr 2023
- 2023Hierarchical Disentangled Representation for Invertible Image Denoising and Beyond31 Jan 2023
- 2022On the Robustness of Normalizing Flows for Inverse Problems in Imaging8 Dec 2022
1 more
- 2022On the Robustness of Normalizing Flows for Inverse Problems in Imagingcited by 8
- 2023Concurrent Misclassification and Out-of-Distribution Detection for Semantic Segmentation via Energy-Based Normalizing Flowcited by 8
- 2024Task-Driven Uncertainty Quantification in Inverse Problems via Conformal Predictioncited by 8
- 2025MANGO: Multimodal Attention-based Normalizing Flow Approach to Fusion Learningcited by 3
- 2023Neural Diffeomorphic Non-uniform B-spline Flowscited by 2
- 2025Conformal Bounds on Full-Reference Image Quality for Imaging Inverse Problemscited by 2
- 2023Hierarchical Disentangled Representation for Invertible Image Denoising and Beyondcited by 1
- 2024Probabilistic Forecasting of Irregular Time Series via Conditional Flowscited by 1
- 2022How Image Generation Helps Visible-to-Infrared Person Re-Identification?cited by 0
- 2023MixerFlow: MLP-Mixer meets Normalising Flowscited by 0
- 2023Dimension Mixer: Group Mixing of Input Dimensions for Efficient Function Approximationcited by 0
- 2026Generalizing Dynamics Modeling More Easily from Representation Perspectivecited by 0
12 most cited of 13 All 13 (JSON)
- 2026α-Graph: Attention-Infused Normalizing Flow Approach to Tractable Graph Modeling7 Sep 2026
- 2026Generalizing Dynamics Modeling More Easily from Representation Perspective24 Mar 2026
- 2025MANGO: Multimodal Attention-based Normalizing Flow Approach to Fusion Learning13 Aug 2025
- 2025Conformal Bounds on Full-Reference Image Quality for Imaging Inverse Problems14 May 2025
- 2024Task-Driven Uncertainty Quantification in Inverse Problems via Conformal Prediction28 May 2024
- 2024Probabilistic Forecasting of Irregular Time Series via Conditional Flows9 Feb 2024
- 2023Dimension Mixer: Group Mixing of Input Dimensions for Efficient Function Approximation30 Nov 2023
- 2023MixerFlow: MLP-Mixer meets Normalising Flows25 Oct 2023
- 2023Concurrent Misclassification and Out-of-Distribution Detection for Semantic Segmentation via Energy-Based Normalizing Flow16 May 2023
- 2023Neural Diffeomorphic Non-uniform B-spline Flows7 Apr 2023
- 2023Hierarchical Disentangled Representation for Invertible Image Denoising and Beyond31 Jan 2023
- 2022On the Robustness of Normalizing Flows for Inverse Problems in Imaging8 Dec 2022
12 newest of 13 All 13 (JSON)