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Probabilistic Prediction of Oceanographic Velocities with Multivariate Gaussian Natural Gradient Boosting – CORRIGENDUM

Published online by Cambridge University Press:  18 March 2025

Abstract

Type
Corrigendum
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2025. Published by Cambridge University Press

This article was originally published with errors in some of the equations.

In algorithm 1 on page 4 there are two errors, $ {\boldsymbol{\theta}}_{\boldsymbol{i}}^{\left(\boldsymbol{0}\right)}\leftarrow \arg \underset{\boldsymbol{\theta}}{\min }{\sum}_{k=1}^Np\left({\boldsymbol{Y}}_{\boldsymbol{k}}|\boldsymbol{\theta} \right) $ should have read $ {\boldsymbol{\theta}}_{\boldsymbol{i}}^{\left(\boldsymbol{0}\right)}\leftarrow \arg \underset{\boldsymbol{\theta}}{\min }-{\sum}_{k=1}^N\log\;p\left({\boldsymbol{Y}}_{\boldsymbol{k}}|\boldsymbol{\theta} \right) $ and $ {\rho}^{(b)}\leftarrow \arg\;{\min}_{\rho }{\sum}_{i=1}^Np\left({\boldsymbol{Y}}_{\boldsymbol{i}}|{\boldsymbol{\theta}}_{\boldsymbol{i}}^{\left(\boldsymbol{b}-\boldsymbol{1}\right)}-\rho \cdot {f}^{(b)}\left({\boldsymbol{X}}_{\boldsymbol{i}}\right)\right) $ , should have read $ {\rho}^{(b)}\leftarrow \arg\;{\min}_{\rho }-{\sum}_{i=1}^N\log\;p\left({\boldsymbol{Y}}_{\boldsymbol{i}}|{\boldsymbol{\theta}}_{\boldsymbol{i}}^{\left(\boldsymbol{b}-\boldsymbol{1}\right)}-\rho \cdot {f}^{(b)}\left({\boldsymbol{X}}_{\boldsymbol{i}}\right)\right) $ .

In Section 5.2 on page 11, the equation $ \frac{1}{N}{\sum}_i\log\;p\left({Y}_i|{X}_i\right) $ , should have read $ -\frac{1}{N}{\sum}_i\log\;p\left({Y}_i|{X}_i\right) $ .

The authors apologise for these errors.

References

O’Malley, M, Sykulski, AM, Lumpkin, R, Schuler, A (2023) Probabilistic Prediction of Oceanographic Velocities with Multivariate Gaussian Natural Gradient Boosting. Environmental Data Science. 2, e10. https://doi.org/10.1017/eds.2023.4CrossRefGoogle Scholar