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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.15375 |
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| _version_ | 1866915239180632064 |
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| author | Barron, Tatyana Kelly, Spencer Poulton, Colin |
| author_facet | Barron, Tatyana Kelly, Spencer Poulton, Colin |
| contents | For the purposes of abstract theory of signal propagation, a signal is a submanifold of a Riemannian manifold. We obtain energy inequalities, or upper bounds, lower bounds on energy in a number of specific cases, including parameter spaces of Gaussians and spaces of configurations of points. We discuss the role of time as well as graph embeddings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15375 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Signals as submanifolds, and configurations of points Barron, Tatyana Kelly, Spencer Poulton, Colin Information Theory Differential Geometry For the purposes of abstract theory of signal propagation, a signal is a submanifold of a Riemannian manifold. We obtain energy inequalities, or upper bounds, lower bounds on energy in a number of specific cases, including parameter spaces of Gaussians and spaces of configurations of points. We discuss the role of time as well as graph embeddings. |
| title | Signals as submanifolds, and configurations of points |
| topic | Information Theory Differential Geometry |
| url | https://arxiv.org/abs/2408.15375 |