Asymmetric heavy tails and implicit bias in gaussian noise injections

A Camuto, X Wang, L Zhu, C Holmes… - International …, 2021 - proceedings.mlr.press
Gaussian noise injections (GNIs) are a family of simple and widely-used regularisation
methods for training neural networks, where one injects additive or multiplicative Gaussian …

The product distribution of more-than-two correlated normal variables: A didactic review with some new findings

H Ogasawara - Communications in Statistics-Theory and Methods, 2024 - Taylor & Francis
Some reviews of the distribution of the product of two correlated normal random variables
and the corresponding more-than-two uncorrelated cases are given with a historical …

[PDF][PDF] The 'Portuguese School of Extremes and Applications'(PORTSEA)

MI Gomes - Notas e Comunicaçoes CEAUL, 2021 - ceaul.org
The 'School of Extremes' in Portugal is nowadays well recognized by the international
scientific community. This recognition is mainly due to the scientific work of Tiago de Oliveira …

The skewness and kurtosis of the product of two normally distributed random variables

A Seijas-Macias, A Oliveira… - … in Statistics-Theory and …, 2023 - Taylor & Francis
The analysis of the product of two normally distributed variables does not seem to follow any
known distribution. Fortunately, the moment-generating function is available and we can …

Performance comparisons of distribution-free Shewhart-type Lepage and Cucconi schemes in monitoring complex process distributions

ZL Chong, S Huang, A Mukherjee… - Transactions of the …, 2020 - journals.sagepub.com
In recent years, researchers introduced several distribution-free schemes for simultaneously
monitoring the location and scale parameters of distribution in the literature related to …

Approximating the distribution of the product of two normally distributed random variables

A Seijas-Macías, A Oliveira, TA Oliveira, V Leiva - Symmetry, 2020 - mdpi.com
The distribution of the product of two normally distributed random variables has been an
open problem from the early years in the XXth century. First approaches tried to determinate …

[PDF][PDF] Alguns Detalhes sobre a PORTSEA–Escola de Extremos e Aplicações em Portugal

MI Gomes - Boletim da Sociedade Portuguesa de Estatıstica …, 2023 - researchgate.net
Após algumas notas soltas sobre o início da minha carreira na Faculdade de Ciências da
Universidade de Lisboa, como aluna de Matemática Pura e como docente da Secção de …

[HTML][HTML] Two Contemporary and efficient two-stage sampling methods for estimating the volume of forest stands: a brief overview and unified mathematical description

A Georgakis, G Stamatellos - Open Journal of Forestry, 2019 - scirp.org
Big Basal Area Factor (Big BAF) and Point-3P are two-stage sampling methods. In the first
stage the sampling units, in both methods, are Bitterlich points where the selection of the …

Understanding gaussian noise injections in neural networks

A Camuto - 2021 - ora.ox.ac.uk
Deep Learning (read neural networks) has emerged as one of the most exciting and
powerful tools in the statistical machine learning toolbox. Neural networks over the past …

A Comparison of Alternative Bias-Corrections in the Bias-Corrected Bootstrap Test of Mediation

D Chen - 2018 - digitalcommons.unl.edu
Although the bias-corrected (BC) bootstrap is an oft recommended method for obtaining
more powerful confidence intervals in mediation analysis, it has also been found to have …