math

This startup wants to alter how mathematicians do math

Geordie Williamson, a mathematician on the University of Sydney, who worked on PatternBoost with Charton, has not yet tried Axplorer. But he's curious to see what mathematicians do with it. (Williamson still occasionally collaborates...

A Gentle Introduction to Nonlinear Constrained Optimization with Piecewise Linear Approximations

the goal is to search out the most effective (maximum or minimum) value of an objective function by choosing real variables that satisfy a set of equality and inequality constraints. A general constrained optimization...

The Math That’s Killing Your AI Agent

had spent nine days constructing something with Replit’s Artificial Intelligence (AI) coding agent. Not experimenting — constructing. A business contact database: 1,206 executives, 1,196 firms, sourced and structured over months of labor. He...

Linear Regression Is Actually a Projection Problem, Part 1: The Geometric Intuition

learns machine learning often starts with linear regression, not simply because it’s easy, but since it introduces us to the important thing concepts that we use in neural networks and deep learning. We already...

On the Possibility of Small Networks for Physics-Informed Learning

Introduction within the period of 2017-2019, physics-informed neural networks (PINNs) have been a very talked-about area of research within the scientific machine learning (SciML) community . PINNs are used to unravel atypical and partial...

Implementing Vibe Proving with Reinforcement Learning

“The event of mathematics toward greater precision has led, as is well-known, to the formalization of enormous tracts of it, in order that one can prove any theorem using nothing but a couple of...

Is Your Model Time-Blind? The Case for Cyclical Feature Encoding

: The Midnight Paradox Imagine this. You’re constructing a model to predict electricity demand or taxi pickups. So, you feed it time (corresponding to minutes) starting at midnight. Clean and easy. Right? Now your model sees...

Understanding Vibe Proving

“What I cannot create, I don't understand” — attributed to R. Feynman After Vibe Coding, we appear to have entered the (very area of interest, but much cooler) era of Vibe Proving: DeepMind wins gold...

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