Sparse Flows: Pruning Continuous-depth Models
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Abstract (arXiv)
Continuous deep learning architectures enable learning of flexible probabilistic models for predictive modeling as neural ordinary differential equations (ODEs), and for generative modeling as continuous normalizing flows. In this work, we design a framework to decipher the internal dynamics of these continuous depth models by pruning their network architectures. Our empirical results suggest that pruning improves generalization for neural ODEs in generative modeling. We empirically show that the improvement is because pruning helps avoid mode-collapse and flatten the loss surface. Moreover, pruning finds efficient neural ODE representations with up to 98% less parameters compared to the original network, without loss of accuracy. We hope our results will invigorate further research into the performance-size trade-offs of modern continuous-depth models.
Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). Builds on 53 of its 79 references that are in the map. First posted on arXiv 24 Jun 2021.
Builds on
53 of 79 references.
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38 more
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50 most cited of 53 All 53 (JSON)
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Citing papers per year: 2021: 2; 2022: 7; 2023: 0; 2024: 2; 2025: 2.
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- 2022Liquid Structural State-Space Modelscited by 136
- 2021Closed-form Continuous-time Neural Modelscited by 65
- 2021Compressing Neural Networks: Towards Determining the Optimal Layer-wise Decompositioncited by 33
- 2022On the Forward Invariance of Neural ODEscited by 11
- 2022Sparsity in Continuous-Depth Neural Networkscited by 10
- 2022Entangled Residual Mappingscited by 4
- 2024Layer Collapse Can be Induced by Unstructured Pruningcited by 4
- 2022End-to-End Sensitivity-Based Filter Pruningcited by 1
- 2022Interpreting Neural Policies with Disentangled Tree Representationscited by 1
- 2024Pruning neural network models for gene regulatory dynamics using data and domain knowledgecited by 1
- 2022Pruning by Active Attention Manipulationcited by 0
- 2025Model Recycling Framework for Multi-Source Data-Free Supervised Transfer Learningcited by 0
- 2025Convergence, design and training of continuous-time dropout as a random batch method15 Oct 2025
- 2025Model Recycling Framework for Multi-Source Data-Free Supervised Transfer Learning4 Aug 2025
- 2024Layer Collapse Can be Induced by Unstructured Pruning24 Apr 2024
- 2024Pruning neural network models for gene regulatory dynamics using data and domain knowledge5 Mar 2024
- 2022Sparsity in Continuous-Depth Neural Networks26 Oct 2022
- 2022Pruning by Active Attention Manipulation20 Oct 2022
- 2022Interpreting Neural Policies with Disentangled Tree Representations13 Oct 2022
- 2022On the Forward Invariance of Neural ODEs10 Oct 2022
- 2022Liquid Structural State-Space Models26 Sep 2022
- 2022Entangled Residual Mappings2 Jun 2022
- 2022End-to-End Sensitivity-Based Filter Pruning15 Apr 2022
- 2021Compressing Neural Networks: Towards Determining the Optimal Layer-wise Decomposition23 Jul 2021
1 more
- 2021Closed-form Continuous-time Neural Models25 Jun 2021
- 2022Liquid Structural State-Space Modelscited by 136
- 2021Closed-form Continuous-time Neural Modelscited by 65
- 2021Compressing Neural Networks: Towards Determining the Optimal Layer-wise Decompositioncited by 33
- 2022On the Forward Invariance of Neural ODEscited by 11
- 2022Sparsity in Continuous-Depth Neural Networkscited by 10
- 2022Entangled Residual Mappingscited by 4
- 2024Layer Collapse Can be Induced by Unstructured Pruningcited by 4
- 2022End-to-End Sensitivity-Based Filter Pruningcited by 1
- 2022Interpreting Neural Policies with Disentangled Tree Representationscited by 1
- 2024Pruning neural network models for gene regulatory dynamics using data and domain knowledgecited by 1
- 2022Pruning by Active Attention Manipulationcited by 0
- 2025Model Recycling Framework for Multi-Source Data-Free Supervised Transfer Learningcited by 0
12 most cited of 13 All 13 (JSON)
- 2025Convergence, design and training of continuous-time dropout as a random batch method15 Oct 2025
- 2025Model Recycling Framework for Multi-Source Data-Free Supervised Transfer Learning4 Aug 2025
- 2024Layer Collapse Can be Induced by Unstructured Pruning24 Apr 2024
- 2024Pruning neural network models for gene regulatory dynamics using data and domain knowledge5 Mar 2024
- 2022Sparsity in Continuous-Depth Neural Networks26 Oct 2022
- 2022Pruning by Active Attention Manipulation20 Oct 2022
- 2022Interpreting Neural Policies with Disentangled Tree Representations13 Oct 2022
- 2022On the Forward Invariance of Neural ODEs10 Oct 2022
- 2022Liquid Structural State-Space Models26 Sep 2022
- 2022Entangled Residual Mappings2 Jun 2022
- 2022End-to-End Sensitivity-Based Filter Pruning15 Apr 2022
- 2021Compressing Neural Networks: Towards Determining the Optimal Layer-wise Decomposition23 Jul 2021
12 newest of 13 All 13 (JSON)