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#bayesian

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@Posit

It's important to emphasize that "realistic-looking" data does *not* mean "realistic" data – especially high-dimensional data (unfortunately that post doesn't warn against this).

If one had an algorithm that generated realistic data for a given inference problem, it would mean that that inference problem had been solved. So: for educational purposes, why not. But for validation-like purposes, use with uttermost caution and at your own peril.

Байесовская собака: анализ пёсьего компаса

Ориентируются ли собаки по компасу, когда делают свои грязные дела? Оказывается — да! Если вам интересно, как можно это подтвердить в домашних условиях, используя компас, Байесовскую статистику и собаку (собака не включена), то добро пожаловать под кат.

habr.com/ru/articles/895332/

ХабрБайесовская собака: анализ пёсьего компасаtl;dr Ориентируются ли собаки по компасу, когда делают свои грязные дела? Оказывается — да! Если вам интересно, как можно это подтвердить в домашних условиях, используя компас, Байесовскую статистику...

Happy Birthday, Laplace! 🎂 🪐 🎓 One of the first to use Bayesian probability theory in the modern way!

"One sees in this essay that the theory of probabilities is basically only common sense reduced to a calculus. It makes one estimate accurately what right-minded people feel by a sort of instinct, often without being able to give a reason for it. It leaves nothing arbitrary in the choice of opinions and of making up one's mind, every time one is able, by this means, to determine the most advantageous choice. Thereby, it becomes the most happy supplement to ignorance and to the weakness of the human mind. If one considers the analytical methods to which this theory has given rise, the truth of the principles that serve as the groundwork, the subtle and delicate logic needed to use them in the solution of the problems, the public-benefit businesses that depend on it, and the extension that it has received and may still receive from its application to the most important questions of natural philosophy and the moral sciences; if one observes also that even in matters which cannot be handled by the calculus, it gives the best rough estimates to guide us in our judgements, and that it teaches us to guard ourselves from the illusions which often mislead us, one will see that there is no science at all more worthy of our consideration, and that it would be a most useful part of the system of public education."

*Philosophical Essay on Probabilities*, 1814 <doi.org/10.1007/978-1-4612-418>

funniest accidental death poll, 2024, boosts welcome

what's your funniest accidental death of 2024 #2024Poll #poll

Shipping tycoon #AngelaChao drink driving her #Tesla into a pond and drowning? 🌊 🚗

Tech entrepreneur #MikeLynch being accidentally assassinated by #HP when his 56m yacht the #Bayesian sank off the coast of Sicily?🌊⛵

#BrianThompson the late healthcare CEO who accidentally intercepted a mysterious bullet fired probably from a #Welrod or #StationSIX9 ⚰️🤔

Billionaire founder of high street fashion chain #Mango #IsakAndic who fell into a ravine🏔️🥴

New book on Bayesian inference and human cognition. I have always enjoyed material from Tom Griffiths and also from Josh Tenenbaum, and I expect this new collected chapters would also be excellent. If you want to explore more literature, the contributing authors of individual chapters are also wonderful.

mitpress.ublish.com/ebook/baye

mitpress.ublish.comeReadereReader

@AeonCypher @paninid

"A p-value is an #estimate of p(Data | Null Hypothesis). " – not correct. A p-value is an estimate of

p(Data or other imagined data | Null Hypothesis)

so not even just of the actual data you have. Which is why p-values depend on your stopping rule (and do not satisfy the "likelihood principle"). In this regard, see Jeffreys's quote below.

Imagine you design an experiment this way: "I'll test 10 subjects, and in the meantime I apply for a grant. At the time the 10th subject is tested, I'll know my application's outcome. If the outcome is positive, I'll test 10 more subjects; if it isn't, I'll stop". Not an unrealistic situation.

With this stopping rule, your p-value will depend on the probability that you get the grant. This is not a joke.

"*What the use of P implies, therefore, is that a hypothesis that may be true may be rejected because it has not predicted observable results that have not occurred.* This seems a remarkable procedure. On the face of it the fact that such results have not occurred might more reasonably be taken as evidence for the law, not against it." – H. Jeffreys, "Theory of Probability" § VII.7.2 (emphasis in the original) <doi.org/10.1093/oso/9780198503>.

@paninid p-values, to a large extent, exist because calculating the posterior is computationally expensive. Not all fields use the .05 cutoff.

A p-value is an #estimate of p(Data | Null Hypothesis). If the two #hypotheses are equally likely and they are mutually exclusive and they are closed over the #hypothesis space, then this is the same as p(Hypothesis | Data).

Meaning, under certain assumption, the p-value does represent the actually probability of being wrong.

However, given modern computers, there is no reason that #Bayesian odds-ratios can't completely replace their usage and avoid the many many problems with p-values.

Small advertisement for my Ph.D. thesis and code, focused on #computervision for #robotics.
Using #julialang to implement #Bayesian inference algorithms for the 6D pose estimation of known objects in depth images.
TLDR: it works even with occlusions; needs <1sec on a GPU; does not need training; future research could focus on including color images / semantic information since SOA performs much better if color images are available.
doc: publications.rwth-aachen.de/re
code: github.com/rwth-irt/BayesianPo

Nach Yachtunglück: Hewlett Packard fordert Milliarden von Lynchs Witwe

Der britische Tech-Tycoon Mike Lynch starb beim Untergang der Luxusjacht "Bayesian". Hewlett Packard Enterprise fordert dennoch weiter Schadenersatz in Milliardenhöhe. Haftet nun Lynchs Witwe? Von Angela Göpfert.

➡️ tagesschau.de/wirtschaft/unter

tagesschau.de · Nach Yachtunglück: Hewlett Packard fordert Milliarden von Lynchs WitweBy Angela Göpfert

(1/3) 𝐁𝐨𝐨𝐤 𝐨𝐟 𝐭𝐡𝐞 𝐖𝐞𝐞𝐤 - 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐚𝐥 𝐑𝐞𝐭𝐡𝐢𝐧𝐤𝐢𝐧𝐠 ❤️❤️❤️

I consider Statistical Rethinking by 𝐏𝐫𝐨𝐟. 𝐑𝐢𝐜𝐡𝐚𝐫𝐝 𝐌𝐜𝐄𝐥𝐫𝐞𝐚𝐭𝐡 to be one of the best resources for getting started with Bayesian Statistics 🚀. The author does a great job of explaining and simplifying statistical concepts such as probability, sampling, linear regression parameters estimation, and, of course, making inferences from data using Bayesian methods.