Why student distributions? Why matern’s covariance model? a symmetry-based explanation
- authored by
- 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.
- Organisation(s)
-
Institute of Geodesy
Geodetic Institute
Leibniz Research Centre FZ:GEO
- External Organisation(s)
-
University of Texas at El Paso
- Type
- Contribution to book/anthology
- Pages
- 266-275
- No. of pages
- 10
- Publication date
- 20.12.2017
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Artificial Intelligence
- Electronic version(s)
-
https://doi.org/10.1007/978-3-319-73150-6_21 (Access:
Closed)
-
Details in the research portal "Research@Leibniz University"
