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Abstract Building on previous Bayesian approaches, we introduce a novel formulation of probabilistic cross-identification, where detections are directly associated to (hypothesized) astronomical objects in a globally optimal way. We show that this new method scales better for processing multiple catalogs than enumerating all possible candidates, especially in the limit of crowded fields, which is the most challenging observational regime for new-generation astronomy experiments such as the Rubin Observatory Legacy Survey of Space and Time. Here we study simulated catalogs where the ground truth is known and report on the statistical and computational performance of the method. The paper is accompanied by a public software tool to perform globally optimal catalog matching based on directional data.
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A note on limiting Calderon–Zygmund theory for transformed n$n$‐Laplace systems in divergence form
Abstract We consider rotated ‐Laplace systems on the unit ball of the formwhere , , and for some . We prove that with estimates. As a corollary, we obtain that solutions to , where is the Hardy space, have a higher integrability, namely, .
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- Award ID(s):
- 2044898
- PAR ID:
- 10591158
- Publisher / Repository:
- Wiley
- Date Published:
- Journal Name:
- Bulletin of the London Mathematical Society
- Volume:
- 56
- Issue:
- 11
- ISSN:
- 0024-6093
- Page Range / eLocation ID:
- 3502 to 3517
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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