Neural Teleportation
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Abstract (arXiv)
In this paper, we explore a process called neural teleportation, a mathematical consequence of applying quiver representation theory to neural networks. Neural teleportation "teleports" a network to a new position in the weight space and preserves its function. This phenomenon comes directly from the definitions of representation theory applied to neural networks and it turns out to be a very simple operation that has remarkable properties. We shed light on surprising and counter-intuitive consequences neural teleportation has on the loss landscape. In particular, we show that teleportation can be used to explore loss level curves, that it changes the local loss landscape, sharpens global minima and boosts back-propagated gradients at any moment during the learning process. Our results can be reproduced with the code available here: https://github.com/vitalab/neuralteleportation
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). First posted on arXiv 2 Dec 2020.
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Citing papers per year: 2021: 1; 2022: 2; 2023: 3; 2024: 4; 2025: 5; 2026: 2.
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- 2023Hidden symmetries of ReLU networkscited by 38
- 2022Symmetries, flat minima, and the conserved quantities of gradient flowcited by 35
- 2025Symmetry in Neural Network Parameter Spacescited by 31
- 2022Symmetry Teleportation for Accelerated Optimizationcited by 25
- 2023Improving Convergence and Generalization Using Parameter Symmetriescited by 23
- 2024Scale Equivariant Graph Metanetworkscited by 23
- 2021Universal approximation and model compression for radial neural networkscited by 7
- 2026Path-conditioned training: a principled way to rescale ReLU neural networkscited by 6
- 2023Singular Value Representation: A New Graph Perspective On Neural Networkscited by 3
- 2025Continual Optimization with Symmetry Teleportation for Multi-Task Learningcited by 3
- 2025Teleportation With Null Space Gradient Projection for Optimization Accelerationcited by 2
- 2025Improving Learning to Optimize Using Parameter Symmetriescited by 2
5 more
- 2024Level Set Teleportation: An Optimization Perspectivecited by 1
- 2025WARP: Weight Teleportation for Attack-Resilient Unlearning Protocolscited by 1
- 2024A Theory of Synaptic Neural Balance: From Local to Global Ordercited by 0
- 2024Advancing Neural Network Performance through Emergence-Promoting Initialization Schemecited by 0
- 2026Discovering Symmetries in Neural Network Parameter Spacescited by 0
- 2026Discovering Symmetries in Neural Network Parameter Spaces27 Sep 2026
- 2026Path-conditioned training: a principled way to rescale ReLU neural networks23 Feb 2026
- 2025WARP: Weight Teleportation for Attack-Resilient Unlearning Protocols29 Nov 2025
- 2025Symmetry in Neural Network Parameter Spaces16 Jun 2025
- 2025Improving Learning to Optimize Using Parameter Symmetries21 Apr 2025
- 2025Continual Optimization with Symmetry Teleportation for Multi-Task Learning6 Mar 2025
- 2025Teleportation With Null Space Gradient Projection for Optimization Acceleration17 Feb 2025
- 2024Advancing Neural Network Performance through Emergence-Promoting Initialization Scheme26 Jul 2024
- 2024Scale Equivariant Graph Metanetworks15 Jun 2024
- 2024A Theory of Synaptic Neural Balance: From Local to Global Order15 May 2024
- 2024Level Set Teleportation: An Optimization Perspective5 Mar 2024
- 2023Hidden symmetries of ReLU networks9 Jun 2023
5 more
- 2023Improving Convergence and Generalization Using Parameter Symmetries22 May 2023
- 2023Singular Value Representation: A New Graph Perspective On Neural Networks16 Feb 2023
- 2022Symmetries, flat minima, and the conserved quantities of gradient flow31 Oct 2022
- 2022Symmetry Teleportation for Accelerated Optimization21 May 2022
- 2021Universal approximation and model compression for radial neural networks6 Jul 2021
- 2023Hidden symmetries of ReLU networkscited by 38
- 2022Symmetries, flat minima, and the conserved quantities of gradient flowcited by 35
- 2025Symmetry in Neural Network Parameter Spacescited by 31
- 2022Symmetry Teleportation for Accelerated Optimizationcited by 25
- 2023Improving Convergence and Generalization Using Parameter Symmetriescited by 23
- 2024Scale Equivariant Graph Metanetworkscited by 23
- 2021Universal approximation and model compression for radial neural networkscited by 7
- 2026Path-conditioned training: a principled way to rescale ReLU neural networkscited by 6
- 2023Singular Value Representation: A New Graph Perspective On Neural Networkscited by 3
- 2025Continual Optimization with Symmetry Teleportation for Multi-Task Learningcited by 3
- 2025Teleportation With Null Space Gradient Projection for Optimization Accelerationcited by 2
- 2025Improving Learning to Optimize Using Parameter Symmetriescited by 2
12 most cited of 16 All 16 (JSON)
- 2026Discovering Symmetries in Neural Network Parameter Spaces27 Sep 2026
- 2026Path-conditioned training: a principled way to rescale ReLU neural networks23 Feb 2026
- 2025Symmetry in Neural Network Parameter Spaces16 Jun 2025
- 2025Improving Learning to Optimize Using Parameter Symmetries21 Apr 2025
- 2025Continual Optimization with Symmetry Teleportation for Multi-Task Learning6 Mar 2025
- 2025Teleportation With Null Space Gradient Projection for Optimization Acceleration17 Feb 2025
- 2024Advancing Neural Network Performance through Emergence-Promoting Initialization Scheme26 Jul 2024
- 2024Scale Equivariant Graph Metanetworks15 Jun 2024
- 2024A Theory of Synaptic Neural Balance: From Local to Global Order15 May 2024
- 2024Level Set Teleportation: An Optimization Perspective5 Mar 2024
- 2023Hidden symmetries of ReLU networks9 Jun 2023
- 2023Improving Convergence and Generalization Using Parameter Symmetries22 May 2023
12 newest of 16 All 16 (JSON)