Mathematics
The mathematics behind machine learning and beyond linear algebra, probability, statistics, eigenvalues, and the elegant structures that power modern AI.
9 posts
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Data ScienceFalse positive paradox
The false positive paradox: why a test with low false positive rate can still produce more false positives than true positives for rare conditions.
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Data ScienceThe Bayesian Thinking - III
Probabilistic programming with PyMC3, applying Bayesian linear regression using the Bayesian view of statistics.
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Data ScienceThe Bayesian Thinking - II
Comparing classical, frequentist, and Bayesian probability frameworks, and how Bayesian thinking updates beliefs with new evidence.
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Data ScienceThe Bayesian Thinking - I
An introduction to Bayes' theorem and conditional probability through a disease-testing example that challenges intuitive reasoning.
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MathematicsA visual introduction to eigenvectors and eigenvalues
A geometric, visual explanation of eigenvectors and eigenvalues through linear transformations such as scaling, rotation, and shearing.
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Data ScienceLinear algebra: The essence behind deep learning
How linear algebra underpins deep learning from score functions and weight matrices to image classification with neural networks.
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MathematicsSome Prime Thoughts
Exploring prime numbers, primality testing in Python, the Fundamental Theorem of Arithmetic, and their role in cryptography.
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MathematicsThe Rule of 72: Mathematics in everyday life
Deriving the Rule of 72, a quick mental math trick to estimate how long it takes an investment or debt to double at a given interest rate.
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MathematicsMathematics and Beauty
A reflection on the aesthetic beauty found in mathematics from elegant proofs to surprising results like the parity of zero.