Теорема Байеса. Наглядное объяснение

Support the channel with a donation: On DonationAlerts: https://dalink.to/matter_and_mind On YooMoney: https://yoomoney.ru/to/410011342416371 BTC: bc1qt78lkcywa65yh34zjuwjxmzm2feq7nl4f6n7t3 USDT TRC20: TYCCKoRxnAgcHa2vZ5aWVr72qBP4yAbTKo Hello everyone! Imagine you've been tested for a rare disease. The test is 90% accurate, and the result is positive. Your intuition immediately sounds the alarm, telling you that the probability of you contracting the disease is also 90%, but the cold statistics tell you otherwise – you're probably healthy, and the chance of actually having the disease is only about 8%. How does our intuition fall into this trap? In this new episode, we'll visually explore one of the most fundamental mathematical rules, known as Bayes' Theorem (or Bayes' Formula). Using a simple and straightforward animation, we'll decipher this formula step by step and see how initial beliefs, new facts, and error probabilities come together to form our updated worldview. But Bayes' Theorem isn't just abstract mathematics or medical paradoxes. This elegant principle of constant retraining has become the foundation of modern artificial intelligence, helping, for example, spam filters sort emails and self-driving cars safely assess traffic situations. I hope this mathematical tool will help you make more informed decisions in real life.

Цепи Маркова — математика предсказаний [Veritasium]
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Цепи Маркова — математика предсказаний [Veritasium]

This trick from Euler was ingenious
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This trick from Euler was ingenious

Дети про США // ВЗГЛЯД СНИЗУ на Америку
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Дети про США // ВЗГЛЯД СНИЗУ на Америку

Complex Numbers: How the Imaginary Became Real // Vital Math
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Complex Numbers: How the Imaginary Became Real // Vital Math

The meme hiding surprisingly advanced math
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The meme hiding surprisingly advanced math

The most beautiful formula not enough people understand
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The most beautiful formula not enough people understand

Что убило проект межзвездного полета?
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Что убило проект межзвездного полета?

Bayes theorem, the geometry of changing beliefs
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Bayes theorem, the geometry of changing beliefs

Колмогоров и Арнольд // Владимир Тихомиров
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Колмогоров и Арнольд // Владимир Тихомиров

Ли Седоль против AlphaGo. Ходы № 37 и № 78, которые открыли новую страницу в истории Го
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Ли Седоль против AlphaGo. Ходы № 37 и № 78, которые открыли новую страницу в истории Го

Почему вы не сможете добраться до Андромеды (даже на скорости света) | Леонард Сасскинд
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Почему вы не сможете добраться до Андромеды (даже на скорости света) | Леонард Сасскинд

A Brilliant Data Structure and How Firefox Improved It
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A Brilliant Data Structure and How Firefox Improved It

If Prime Numbers Become Increasingly Rare, Then Why Do They Keep Showing Up In Pairs?
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If Prime Numbers Become Increasingly Rare, Then Why Do They Keep Showing Up In Pairs?

Главная загадка Природы | ALI
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Главная загадка Природы | ALI

Как один программист уничтожил монополию корпораций на видео
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Как один программист уничтожил монополию корпораций на видео

Life is not what it seems
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Life is not what it seems

The Greatest Unsolved Problem In Mathematics
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The Greatest Unsolved Problem In Mathematics

How Trigonometry Turns Triangles Into Waves
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How Trigonometry Turns Triangles Into Waves

COBOL: The Dead Language Running the Global Economy
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COBOL: The Dead Language Running the Global Economy

The hidden logic behind #, @, & and §
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The hidden logic behind #, @, & and §