Mathematical Foundations

Make your Matrix Factorisation faster Continue reading on Medium »

In the previous articles, we changed the way we look at matrices. Continue reading on Medium »

Why the normalizing constant exposes the tension between expressive generative models and tractable probability computation. Continue reading on Medium »

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

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

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

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

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

We’re sharing an AI-generated solution to the Navier–Stokes Millennium Prize Problem, including a writeup and a formal proof in Lean.

The digital footprint of modern graphic optimization acts as the defining line between premium customer conversion and high bounce rates… Continue reading on Me

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From a simple percentage to a framework for reasoning under uncertainty. Continue reading on Medium »

From a simple percentage to a framework for reasoning under uncertainty. Continue reading on Medium »

Transformer Continue reading on JIN System Architect »

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 »

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 »

For this test, we take our MVAR Python code and show how to optimize some hyper parameters to achieve a better backtest. For this, we have… Continue reading on

How a glitchy robot tour guide taught me that AI models are secretly obsessed with finding the “true directions” hidden inside data Continue reading on Medium »

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 »

A stationary time series is one whose statistical properties do not change over time. Its mean, variance, and autocorrelation structure… Continue reading on Med

The 7 advanced frameworks designed to control LLM probability distributions and eliminate AI hallucinations. Continue reading on Medium »

This article explains why CCE is used for multi-class classification and how it is derived intuitively… Continue reading on Towards AI »

This article explains why CCE is used for multi-class classification and how it is derived intuitively… Continue reading on Towards AI »

Photo by Toni Koraza on Unsplash Continue reading on Medium »

Here's a new rank estimation method I've been working on. It's basically an upgraded Principal Component Analysis (PCA) built on information theory instead of l

What if the probability distribution underlying your parameter estimation algorithm is the reason you’re getting the wrong answer? Continue reading on Medium »

In layman terms…complex function…you need stats about it….you think if this was probability distribution…answer would be easy….wrong maths… Continue reading on

Ultra‑fast Fourier transform and optical AI realized with a single lens. Description: It explains the principle that passing light through a convex lens natural

I got this paragraph from Claude, could someone please explain this and verify if it's a real thing or hallucination: Overparameterization isn't just about fina

If you have made your hands dirty in deep learning or perceptron models and similar such things, you would have encountered new loss… Continue reading on Toward

How a nineteenth-century idea reveals valleys, saddles, optimization problems, and the hidden geometry of modern AI Continue reading on Medium »

How a nineteenth-century idea reveals valleys, saddles, optimization problems, and the hidden geometry of modern AI Continue reading on Medium »

There is a point in every sufficiently large data science project where someone produces a correlation matrix. Usually it is enormous… Continue reading on Data

Hello folks, in this code implementation, we walk through not just writing code, but understanding the outputs we obtain, and validating the results in mathemat

Cosine, dot product, and Euclidean distance collapse into one ranking once vectors are normalized, and diverge dangerously when they aren’t. Continue reading on

Cosine, dot product, and Euclidean distance collapse into one ranking once vectors are normalized, and diverge dangerously when they aren’t. Continue reading on

Abstract. Part 1 gave us the atoms — a vector, a weight, a dot product. This part snaps them into the handful of operations every model… Continue reading on Med

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

Generative AI has become one of the most exciting areas of Artificial Intelligence. Tools that generate text, images, music, and code may… Continue reading on M

Generative AI has become one of the most exciting areas of Artificial Intelligence. Tools that generate text, images, music, and code may… Continue reading on M

When I first encountered eigenvectors, they felt disconnected from real work. There were matrices, arrows, and equations, but no obvious… Continue reading on Me

Bir yazılımcının matematik bilmesi gerçekten gerekli mi? Continue reading on Medium »

The Renaissance Italians were the first to discover that allowing √-1 to exist helped solve previously intractable problems Continue reading on Medium »

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by Aditiya Widodo Putra, Expert in Mathematics & Astrophysics. Continue reading on Medium »

Turn division by 19 into repeated division by 2. Continue reading on ThinkArt »

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Taken from Feb. 2010 Past Papers Continue reading on ThinkArt »