Bayes’ theorem, clearly explained:

Oct 12, 2024 · 2:02 PM UTC

Replying to @akshay_pachaar
This is a brilliant visualisation 👏👏
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Glad you liked it! :)
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Replying to @akshay_pachaar
Or, P(A|B)P(B) = P(B|A)P(A) by definition
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Replying to @akshay_pachaar
Great!👍 🙏 Background (I needed a reminder myself 😅): Bayes’ Theorem provides a way to update the probability of a hypothesis based on new evidence. It combines prior knowledge (initial belief about the hypothesis) with new data to give a more accurate probability. Example:
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Replying to @akshay_pachaar
9 word Bayes future is past multiplied by present divided by ‘everything’
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Replying to @akshay_pachaar
Very intuitive explanation Akshay. If i may add Bayes theorem is very important segment of Statistics (for audience, it important to differentiate Bayes theorem and Bayesian Statistics)
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Replying to @akshay_pachaar
That is not a visual proof, that’s just a proof using really bad notation
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Replying to @akshay_pachaar
Mathematics is the language of physics
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Replying to @akshay_pachaar
great viz; this comes to mind: "correlation != causation" ok, what does then? Pearl's do-calculus is a solid attempt, I'd love to see a similar graphic for it
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Bayes was an amateur mathematic who made the single most significant contribution to machine-learning
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Replying to @akshay_pachaar
Fun to prove final bit from right to left 😊
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Replying to @akshay_pachaar
Wow! This is a great visual explanation.
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Replying to @akshay_pachaar
A very deep and simple explanation, big up @akshay_pachaar
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Replying to @akshay_pachaar
Great. Although I like it more in the form P(A | B) P(B) = P(B | A) P(A), because you can see the symmetry and also avoids denominators. In your drawing, both sides equal the purple piece 😊
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Replying to @akshay_pachaar
Bayesian Optimization 👍🏼
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Replying to @akshay_pachaar
outstanding
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Replying to @akshay_pachaar
Proof without words!
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Replying to @akshay_pachaar
Beautiful
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Replying to @akshay_pachaar
Brilliant illustration
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Replying to @akshay_pachaar
Nice proof, I love it!
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Replying to @akshay_pachaar
If all odd squares are 4k+1. k∈N And any other considerations you deem appropriate Which primes will be more abundant, 4k + 1 or 4k + 3?🤔
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Replying to @akshay_pachaar
After randomly drawing 9 black balls from a dark bag, what is the probability that the remaining ball to be drawn is white? Note: the probability that there are balls of two colors in the bag is 1/3, 1/3 all white 1/3 all black.
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Replying to @akshay_pachaar
Nice illustration. I like this form: P(AnB) = P(A).P(B|A) = P(B).P(A|B)
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Replying to @akshay_pachaar
Amazing
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Replying to @akshay_pachaar
Thank you. After studying probability for data science. This is what i needed a proper visualization for developing mathematical intuition.
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Replying to @akshay_pachaar
Great visualization. I haven't seen to use different shapes for set A and B.
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Replying to @akshay_pachaar
wow, I love your explanation. Thanks
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Replying to @akshay_pachaar
That's a rather "in amongst" view. Not bad
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