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⚡ AI Lessons

Medium · Machine Learning
🔢 Mathematical Foundations
4d ago
What A Matrix Actually Does To Space
If you read the Linear Algebra for AI series, you already know what a vector and a matrix are. This one is about what a matrix actually… Continue reading on Art

Medium · Machine Learning
🔢 Mathematical Foundations
4d ago
Gradients 1: Backprop Is the Chain Rule, and the Chain Rule Has Hypotheses
Disclosure: this post was written with the assistance of an AI system (Claude), which wrote the analysis code, ran the experiments and… Continue reading on Medi

Medium · Machine Learning
🔢 Mathematical Foundations
3w ago
Statistics for Data Scientists (Part 3): Probability, Conditional Probability & Bayes’ Theorem
From a simple percentage to a framework for reasoning under uncertainty. Continue reading on Medium »

Medium · Machine Learning
🔢 Mathematical Foundations
3w ago
Statistics for Data Science: How Robo the Robot Taught Me Mean, Median, Mode, Variance, and…
A beginner-friendly journey into the numbers that power AI — told through a fun little adventure with a robot named Robo. Continue reading on Medium »

Medium · Machine Learning
🔢 Mathematical Foundations
3w ago
The Marie Kondo of Linear Algebra: Compress Images with SVD
Imagine opening your overpacked bedroom closet. Clothes are piled high, rogue socks are floating, and you can barely shut the door. Continue reading on Medium »

Medium · Machine Learning
🔢 Mathematical Foundations
4w ago
Why NOT Categorical Cross Entropy?
This article explains why CCE is used for multi-class classification and how it is derived intuitively… Continue reading on Towards AI »

Medium · Machine Learning
🔢 Mathematical Foundations
4w ago
The Dhahran Probability Density Function: Rethinking Parameter Estimation Beyond Gaussian…
What if the probability distribution underlying your parameter estimation algorithm is the reason you’re getting the wrong answer? Continue reading on Medium »

Medium · Machine Learning
🔢 Mathematical Foundations
1mo ago
The Hessian: The Matrix That Sees a Function’s Shape
How a nineteenth-century idea reveals valleys, saddles, optimization problems, and the hidden geometry of modern AI Continue reading on Medium »
Medium · Machine Learning
🔢 Mathematical Foundations
1mo ago
Distance Metrics and Similarity Search: Cosine, Euclidean, and Dot Product
Cosine, dot product, and Euclidean distance collapse into one ranking once vectors are normalized, and diverge dangerously when they aren’t. Continue reading on

Medium · Machine Learning
🔢 Mathematical Foundations
1mo ago
P-Value in Machine Learning: Understanding Statistical Significance
The p-value is an important statistical concept used in hypothesis testing and is widely applied in machine learning and data science. It… Continue reading on M

Medium · Machine Learning
🔢 Mathematical Foundations
1mo ago
Probability & Distributions: The Complete Math-to-Code Guide for Machine Learning
How to reason about uncertainty — the math every model needs before it can guess. Continue reading on Medium »

Medium · Machine Learning
🔢 Mathematical Foundations
2mo ago
The Day Jacobian and Hessian Matrices Changed How I Think About Knowledge
How a machine learning study session taught me that no scientific knowledge is ever truly useless. Continue reading on Medium »

Medium · Machine Learning
🔢 Mathematical Foundations
2mo ago
Bayes’ Theorem to Bayesian Optimization: 250 Years in 10 Minutes
Bayes is hard — let’s be honest, it really is. At the very least, you need to be conscious of which angle you’re using the term ‘Bayes’… Continue reading on Med

Medium · Machine Learning
🔢 Mathematical Foundations
2mo ago
SC19: Probability Using calculus
Find the whole single variable calculus series here Continue reading on Medium »

Medium · Machine Learning
🔢 Mathematical Foundations
3mo ago
Linear Algebra You’ll Actually Use: Part 2
Topics: Vector Operations Continue reading on Medium »
Medium · Machine Learning
🔢 Mathematical Foundations
⚡ AI Lesson
3mo ago
i^(1/i) Is a Real Number. Nobody Taught You Why.
The imaginary unit raised to an imaginary power escapes the complex plane entirely. This is not a coincidence. It is a structural… Continue reading on Python in
Medium · Machine Learning
🔢 Mathematical Foundations
4mo ago
Singular Value Decomposition (SVD): The Secret Weapon Every ML Engineer Needs
Introduction Continue reading on Medium »

Medium · Machine Learning
🔢 Mathematical Foundations
⚡ AI Lesson
5mo ago
When Cosine and Dot Product Are Not Enough: Real Stories of Vector Search with Euclidean…
Choosing the right distance is not a mathematical detail. Sometimes, it is the whole product. Continue reading on Data Science Collective »
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