#statstab #331 A geometric interpretation of the covariance matrix

Thoughts: Does this help interpretation? What do people think?

#covariance #dataviz

https://www.visiondummy.com/2014/04/geometric-interpretation-covariance-matrix/

#statstab #167 How would you explain covariance?

Thoughts: Cov explained simply (link1) and complexly (link2).

#covariance #correlation #teaching #education

https://stats.stackexchange.com/questions/18058/how-would-you-explain-covariance-to-someone-who-understands-only-the-mean

https://stats.stackexchange.com/questions/221962/understanding-that-operatornamecovx-x-operatornamevarx-intuitively/222091#222091

'Generalized Independent Noise Condition for Estimating Causal Structure with Latent Variables', by Feng Xie, Biwei Huang, Zhengming Chen, Ruichu Cai, Clark Glymour, Zhi Geng, Kun Zhang.

http://jmlr.org/papers/v25/23-1052.html

#causal #causally #covariance

Где мне это пригодится в жизни или применение Nothing в Kotlin на примере

В данной статье я хочу показать, почему развитая система типов в языке программирования это здорово. Я попробую провести небольшой ликбез о таких на первый взгляд сложных вещах, как sealed-иерархии, ковариантность и тип Nothing на понятном практическом примере создания своей реализации типа из функционального программирования Either.

https://habr.com/ru/articles/809711/

#kotlin #системы_типов #функциональное_программирование #either #ковариантность #covariance #nothing

🤔 Invariance, Covariance, and Contravariance in .NET C# 🤷‍♂️

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Invariance, Covariance, and Contravariance in .NET C#

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#dotnet #variance #covariance #contravariance #invaraince

🤔 Invariance, Covariance, and Contravariance in .NET C# 🤷‍♂️

➡️ If it is so hard on you to really understand this topic, don’t feel ashamed of it, you are not alone.

➡️ However, this is the past. In this article, you are going to understand it once and for all.

Invariance, Covariance, and Contravariance in .NET C#

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#dotnet #variance #covariance #contravariance #invaraince

update - we have covariances and a centriod for this unique porthale behavior going on in salem, oregon

https://porthales-of-salem.glitch.me/

- still thinking about if I should be done or make a wrapper website. The goal is to spark creativity in my community - write, think, discuss what would happen if you so choose to go into the porthale (portal +porthole)

#covariance #mathart #RPG #salemOregon

Towards fully covariant machine learning

https://openreview.net/forum?id=gllUnpYuXg

#symmetries #symmetry #covariance

That #spatial #covariance will get you every time

https://www.nature.com/articles/s41467-023-38906-7

#climate #risk #climate

New in IOB issue!
#Morphological #Covariance and Onset of Foot Prehensility as Indicators of Integrated #Evolutionary Dynamics in the #Herons (Ardeidae)

by M.F. Riegner & R.D. Bassar

https://doi.org/10.1093/iob/obad010

#avian #organisms #biology #science #birds

An Introduction to Covariance and Correlation | by Rob Taylor | Mar, 2023 https://triangleagency.co.uk/an-introduction-to-covariance-and-correlation-by-rob-taylor-mar-2023/?utm_source=dlvr.it&utm_medium=mastodon #TheTriangleAgencyNews #Correlation #Covariance #Introduction

'Online Change-Point Detection in High-Dimensional Covariance Structure with Application to Dynamic Networks', by Lingjun Li, Jun Li.

http://jmlr.org/papers/v24/20-1101.html

#covariance #fmri #brain

3/10) Driven by recent 🧠 findings in the #visual #cortex, we propose using the slope of the #eigenspectrum decay of the representation #covariance, termed α, as a measure of representation quality for #SSL model representations.

#AI #ML #deeplearning

- V̇O2 max does not vary linearly with body mass, either among individuals within a species or among species, so comparisons of performance capacities of individuals or species that differ in body size must be done with statistical procedures, such as analysis of #covariance

WSS random processes only require that 1st moment (i.e. the mean) and #autocovariance do not vary with respect to time and that the 2nd moment is finite for all times. Any strictly stationary process which has a defined mean and a #covariance is also WSS

WSS random processes only require that 1st moment (i.e. the mean) and #autocovariance do not vary with respect to time and that the 2nd moment is finite for all times. Any strictly stationary process which has a defined mean and a #covariance is also WSS

For some reason I always forget this rule and end up re-deriving it:

Cov(Ax, By) = A Cov(x, y) B'

Here's a way to remember it. If x = y and A = B, it reduces to:

Var(Ax) = A Var(x) A'

which is a rule that I never seem to have trouble remembering.

#covariance