Why student distributions? Why matern’s covariance model? a symmetry-based explanation
- verfasst von
- Stephen Schön, Gael Kermarrec, Boris Kargoll, Ingo Neumann, Olga Kosheleva, Vladik Kreinovich
- Abstract
In this paper, we show that empirical successes of Student distribution and of Matern’s covariance models can be indirectly explained by a natural requirement of scale invariance – that fundamental laws should not depend on the choice of physical units. Namely, while neither the Student distributions nor Matern’s covariance models are themselves scale-invariant, they are the only one which can be obtained by applying a scale-invariant combination function to scale-invariant functions.
- Organisationseinheit(en)
-
Institut für Erdmessung
Geodätisches Institut
Leibniz Forschungszentrum FZ:GEO
- Externe Organisation(en)
-
University of Texas at El Paso
- Typ
- Beitrag in Buch/Sammelwerk
- Seiten
- 266-275
- Anzahl der Seiten
- 10
- Publikationsdatum
- 20.12.2017
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Artificial intelligence
- Elektronische Version(en)
-
https://doi.org/10.1007/978-3-319-73150-6_21 (Zugang:
Unbekannt)
