Tag: probability

Relearning Mathematics: Three Languages for Reading AIReads the inside of an LLM in three languages: linear algebra (embeddings, low-rank approximation), calculus (gradient descent, learning rate) and probability (cross-entropy, Bayes).Computer ScienceSurvival Strategy in the AI EraUndergraduatelinear algebra calculus probability machine learning abstraction~23 min
The Monty Hall Problem: Why Switching Doors Doubles Your Chance of WinningYou pick one of three doors and the host opens a goat door. Enumeration and Bayes' theorem both push the win probability from 1/3 to 2/3, and we go on to biased hosts and n doors.MathematicsMathematical ColumnsHigh school / generalprobability conditional probability Bayes theorem counterintuitive results~28 min
Probability Spaces and Kolmogorov's Axioms: Probability as a Measure of Total Mass OneFrom Bertrand's paradox to Kolmogorov's three axioms: sample spaces, σ-algebras, probability measures, and the continuity, Bayes and Borel–Cantelli results derived from them.MathematicsProbability TheoryUndergraduateprobability measure theory sigma-algebra Bayes' theorem independence~31 min