We use the equation all the time. But where did it actually come from?

The post The Sigmoid Function: From 'e' to Neural Networks appeared first on Towards Data Science.

A hands-on guide to fine-tuning LLMs for the real world

The post How to Fine-Tune an LLM: An End-to-End Guide appeared first on Towards Data Science.

In a new essay, Terence Tao warns that AI could push mathematics into a crisis on par with the foundational upheaval around 1900. What's being tested this time isn't mathematical truth but the values of the field: what counts as a contribution, what gets rewarded, and who did the work. His rule of thumb: a proof that no human can explain should be considered incomplete.

The article Terence Tao says AI could trigger math's biggest crisis since Gödel appeared first on The Decoder.

Two open problems, exact-arithmetic checking and a proof assistant, over a single weekend.

The post Mathematical Experiments Are Becoming Abundant Through Human-Machine Teaming appeared first on Towards Data Science.

A primer about Semi-Supervised Learning, the approaches taken with different algorithms and the limitations of using unlabelled data.

The post Introduction to Semi-Supervised Learning appeared first on Towards Data Science.

Research-backed cues to detect LLM-generated text along with the mathematical intuition as to 'why'

The post Is This Slop? Detecting AI-Generated Content Without a Model appeared first on Towards Data Science.

The full conjecture is stated over abstract fields, but the counterexample is a concrete 3D function that we can explain and visualize using familiar geometric ideas and a little algebra.

The post A Simplified View of the Jacobian Conjecture appeared first on Towards Data Science.

Using mathematical optimization to solve a pickup-and-delivery problem with time windows.

The post “Los Movimientos”: The Routing Problem That Nearly Broke My Spirit appeared first on Towards Data Science.

The mean keeps making its usefulness felt in all sorts of situations, often in truly non-obvious ways

The post The Most Beautiful Statistic: The History and the Science of the Humble Mean appeared first on Towards Data Science.