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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.02635 |
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| _version_ | 1866910224047144960 |
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| author | Bodmann, Bernhard G. May, Jennifer J. |
| author_facet | Bodmann, Bernhard G. May, Jennifer J. |
| contents | The main challenge addressed in this paper is to identify individual terms in a superposition of heat kernels on a graph. We establish geometric conditions on the vertices at which these heat kernels are centered and find bounds on the time parameter governing the evolution under the heat semigroup that guarantee a successful recovery. This result can be viewed as a type of deconvolution on a graph. A first main result addresses the setting of a common time parameter for all the heat kernels. We also treat a more general setting when the time parameter depends on the location at which the heat kernel is centered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_02635 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deconvolution on graphs via linear programming Bodmann, Bernhard G. May, Jennifer J. Functional Analysis 47D07, 49N45 The main challenge addressed in this paper is to identify individual terms in a superposition of heat kernels on a graph. We establish geometric conditions on the vertices at which these heat kernels are centered and find bounds on the time parameter governing the evolution under the heat semigroup that guarantee a successful recovery. This result can be viewed as a type of deconvolution on a graph. A first main result addresses the setting of a common time parameter for all the heat kernels. We also treat a more general setting when the time parameter depends on the location at which the heat kernel is centered. |
| title | Deconvolution on graphs via linear programming |
| topic | Functional Analysis 47D07, 49N45 |
| url | https://arxiv.org/abs/2305.02635 |