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algorithms

geometry

Statistics Postdoc Tames Decades-Old Geometry Problem

March 1, 2021

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

Animation of a neuron that periodically alters its responses to stimuli when it is reset into a new state by another input.
neural networks

Artificial Neural Nets Finally Yield Clues to How Brains Learn

February 18, 2021

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.

An animation showing chaotic swirls of purple coalesce into a single line
Abstractions blog

New Quantum Algorithms Finally Crack Nonlinear Equations

January 5, 2021

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

Q&A

The Computer Scientist Who Shrinks Big Data

December 7, 2020

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

An illustration of computer scientists looking down a new road that breaks open a traveling salesperson route.
algorithms

Computer Scientists Break Traveling Salesperson Record

October 8, 2020

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

Aerial image of a complicated road network.
Abstractions blog

A New Algorithm for Graph Crossings, Hiding in Plain Sight

September 15, 2020

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

Photo of Marijn Heule walking among computer processors
Abstractions blog

Computer Scientists Attempt to Corner the Collatz Conjecture

August 26, 2020

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

Illustration of floating metal cubes joining together, some of their faces yellow
geometry

Computer Search Settles 90-Year-Old Math Problem

August 19, 2020

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.

Photo of various kinds and colors of dice
Abstractions blog

How and Why Computers Roll Loaded Dice

July 8, 2020

Researchers are one step closer to injecting probability into deterministic machines.