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# algorithms

## Latest Articles

### New Algorithm Breaks Speed Limit for Solving Linear Equations

By harnessing randomness, a new algorithm achieves a fundamentally novel — and faster — way of performing one of the most basic computations in math and computer science.

### Statistics Postdoc Tames Decades-Old Geometry Problem

To the surprise of experts in the field, a postdoctoral statistician has solved one of the most important problems in high-dimensional convex geometry.

### Artificial Neural Nets Finally Yield Clues to How Brains Learn

The learning algorithm that enables the runaway success of deep neural networks doesn’t work in biological brains, but researchers are finding alternatives that could.

### New Quantum Algorithms Finally Crack Nonlinear Equations

Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.

### The Computer Scientist Who Shrinks Big Data

Jelani Nelson designs clever algorithms that only have to remember slivers of massive data sets. He also teaches kids in Ethiopia how to code.

### Computer Scientists Break Traveling Salesperson Record

After 44 years, there’s finally a better way to find approximate solutions to the notoriously difficult traveling salesperson problem.

### A New Algorithm for Graph Crossings, Hiding in Plain Sight

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory.

### Computer Scientists Attempt to Corner the Collatz Conjecture

A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot.

### Computer Search Settles 90-Year-Old Math Problem

By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with tiles.