Invariance properties for the error function used for multilinear regression.
The connections between the error function used in multilinear regression and the expected, or assumed, properties of the data are investigated. It is shown that two of the most basic properties often required in data analysis, scale and rotational invariance, are incompatible. With this, it is esta...
Main Authors: | Mark H Holmes, Michael Caiola |
---|---|
Format: | Article |
Language: | English |
Published: |
Public Library of Science (PLoS)
2018-01-01
|
Series: | PLoS ONE |
Online Access: | https://doi.org/10.1371/journal.pone.0208793 |
Similar Items
-
Invariants of multilinear forms
by: Chawla, Lal Mohammad
Published: (1954) -
Banach-Valued Multilinear Singular Integrals with Modulation Invariance
by: Di Plinio, F., et al.
Published: (2022) -
An invariant subspace problem for multilinear operators on Banach spaces and algebras
by: John Emenyu
Published: (2016-07-01) -
Contributing factors to apartment pricing in Stockholm Vasastan: : An analysis using multilinear regression
by: Gierlowski Carling, Sebastian, et al.
Published: (2020) -
Multilinear Operator and Its Basic Properties
by: Nakasho Kazuhisa
Published: (2019-04-01)