Probabilistic Dual Frames and Minimization of Dual Frame Potentials
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866908692139474944 |
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| author | Chen, Dongwei |
| author_facet | Chen, Dongwei |
| contents | This paper studies probabilistic dual frames and the associated dual frame potentials from the perspective of optimal mass transport. The main contribution of this work shows that given a probabilistic frame, its associated dual frame potential is minimized if and only if the probabilistic frame is tight and the probabilistic dual frame is the canonical dual. In particular, the tightness condition can be dropped if the probabilistic dual frame potential is minimized only among probabilistic dual frames of pushforward type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17760 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probabilistic Dual Frames and Minimization of Dual Frame Potentials Chen, Dongwei Functional Analysis 42C15 This paper studies probabilistic dual frames and the associated dual frame potentials from the perspective of optimal mass transport. The main contribution of this work shows that given a probabilistic frame, its associated dual frame potential is minimized if and only if the probabilistic frame is tight and the probabilistic dual frame is the canonical dual. In particular, the tightness condition can be dropped if the probabilistic dual frame potential is minimized only among probabilistic dual frames of pushforward type. |
| title | Probabilistic Dual Frames and Minimization of Dual Frame Potentials |
| topic | Functional Analysis 42C15 |
| url | https://arxiv.org/abs/2502.17760 |