Foundations

Mathematical Foundations

Linear algebra, calculus, probability, statistics and optimisation — the maths behind ML

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lessons
Skills in this topic
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Maths for ML
beginner
Multiply matrices and compute dot products
Probability & Statistics
beginner
Calculate conditional probability and Bayes' theorem
Optimisation
intermediate
Implement gradient descent from scratch
Information Theory
intermediate
Calculate Shannon entropy and cross-entropy loss
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ArXiv cs.AI 🔢 Mathematical Foundations 📄 Paper ⚡ AI Lesson 1w ago
Tangent classes of matroids and wonderful compactifications
arXiv:2607.05835v1 Announce Type: cross Abstract: For every loopless matroid $M$ and every Feichtner--Yuzvinsky building set $\mathcal{G}$ containing the top fl
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Super Mario is mathier than you think
MIT Technology Review 🔢 Mathematical Foundations ⚡ AI Lesson 3w ago
Super Mario is mathier than you think
Here’s a problem you probably didn’t solve in school: You’re an ambitious young plumber from Brooklyn in a world inhabited by violent human-size mushrooms calle
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ArXiv cs.AI 🔢 Mathematical Foundations 📄 Paper ⚡ AI Lesson 2mo ago
Every finite group admits a just finite presentation
arXiv:2605.10402v1 Announce Type: cross Abstract: A finite presentation of a finite group is called `just finite' if removing any relation from R results in a p
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ArXiv cs.AI 🔢 Mathematical Foundations 📄 Paper ⚡ AI Lesson 2mo ago
A Milestone in Formalization: The Sphere Packing Problem in Dimension 8
arXiv:2604.23468v2 Announce Type: cross Abstract: In 2016, Viazovska famously solved the sphere packing problem in dimension $8$, using modular forms to constru
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