Oct 30, 2022 11:15
1 yr ago
29 viewers *
French term

Gaussienne multidimensionnelle.

French to English Tech/Engineering Electronics / Elect Eng AI networks
Context: Ainsi, le dispositif électronique de traitement selon l’invention offre un apprentissage continu à base de réseaux génératifs de neurones, les réseaux du module de calcul étant en outre des réseaux de neurones inversibles (de l’anglais normalizing flow) qui apprennent alors chacun une fonction bijective entre l’espace d’entrée X et l’espace latent H. L’espace latent H est alors distribué selon une fonction de distribution probabiliste de la même dimension que celle de l’espace d’entrée X, chaque fonction de distribution probabiliste étant par exemple une Gaussienne multidimensionnelle.

This is an editing task and not certain if this is correct or should it be "multivariate Gaussian"?

Suggestions most welcome.
TIA Chris.
Proposed translations (English)
1 +1 Multivariate Gaussian Distribution

Discussion

Francois Boye Nov 4, 2022:
'Multvariate' means that the gaussian density is multidimensional because it is based on more than ONE random variable.
Bashiqa (asker) Oct 31, 2022:
@ Samuel Thank you, I can tick this one off.
chris collister Oct 31, 2022:
So far as I was aware when I studied this stuff, the terms are effectively interchangeable. A univariate Gaussian gives you the familiar bell-shaped curve (represented in 2 dimensions: y-axis and abscissa). A bivariate Gaussian looks like an actual bell, or mabe a sugarloaf mountain. We mere mortals can visualise only in 3 dimensions, but mathematically there is no reason why tri- or quadri- or n-dimensional distributions cannot exist.
Samuël Buysschaert Oct 31, 2022:
HTH/Fwiw In addition to what has already been stated and to answer your question, multidimensional is correct;

"La loi gaussienne de moyenne nulle et d’écart-type égal à 1 est appelée loi gaussienne centrée réduite ou loi gaussienne standard.
La loi gaussienne existe également dans une version multidimensionnelle, appelée loi gaussienne multivariée."
https://dataanalyticspost.com/Lexique/loi-gaussienne/ (ENS Paris-Saclay)

For example:
https://ieeexplore.ieee.org/document/9912423
A Fast Method for Fitting a Multidimensional Gaussian Function

Neural Networks
https://www.alignmentforum.org/posts/KrQvZM8uFjSTJ7hq3/recen...
Bashiqa (asker) Oct 30, 2022:
@ Phil Sorry if unclear but yes "is multidimensional correct"?
philgoddard Oct 30, 2022:
Your question isn't clear Since this is French to English, I assume you mean "is multidimensional correct".
Emmanuella Oct 30, 2022:
Il faut lire fonction Gaussienne
https://fr.wikipedia.org/wiki/Fonction_gaussienne
Bashiqa (asker) Oct 30, 2022:
@ Emmanuella OK, so the two are interchangeable. Thank you, Chris.

Proposed translations

+1
8 hrs
Selected

Multivariate Gaussian Distribution

The Multivariate Gaussian Distribution - CS229
https://cs229.stanford.edu › section › gaussians
PDF
CB Do · 2008 · — is said to have a multivariate normal (or Gaussian) distribution with mean µ ∈ Rn and covariance matrix Σ ∈ Sn.
10 pages

Multivariate Gaussian Distribution
https://www.cs.cmu.edu › Class › recitation › gaus...
PDF
L Gu · — The multiplication of two gaussian functions is another gaussian function. (although no longer normalized). N(a, A)N(b, B) ∝ N(c, C), where C = (A− ...
5 pages

Chapter 13 The Multivariate Gaussian
https://people.eecs.berkeley.edu › other-readings
PDF
discuss maximum likelihood estimation for the multivariate Gaussian. 13.1 Parameterizations. The multivariate Gaussian distribution is commonly expressed in ...
11 pages

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Note added at 23 hrs (2022-10-31 10:46:15 GMT)
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Glad to have been of help. No hits in English for "Gaussian multidimensional" or "multidimensional Gaussian".

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Note added at 7 days (2022-11-06 11:29:01 GMT) Post-grading
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Happy hunting.
Note from asker:
Thank you. Could you tell me if multidimensional is correct?
Peer comment(s):

agree Francois Boye
22 hrs
Thanks! Much appreciated.
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2 KudoZ points awarded for this answer. Comment: "Thank you."
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