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linear algebra

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neural networks

AI Reveals New Possibilities in Matrix Multiplication

By Ben Brubaker
November 23, 2022
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Inspired by the results of a game-playing neural network, mathematicians have been making unexpected advances on an age-old math problem.

A graphic showing improvements in the speed of matrix multiplication
algorithms

Matrix Multiplication Inches Closer to Mythic Goal

By Kevin Hartnett
March 23, 2021
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A recent paper set the fastest record for multiplying two matrices. But it also marks the end of the line for a method researchers have relied on for decades to make improvements.

algorithms

New Algorithm Breaks Speed Limit for Solving Linear Equations

By Kevin Hartnett
March 8, 2021
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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.

Animation showing multiple particles of light flowing together and leaving blue trails
Abstractions blog

Graced With Knowledge, Mathematicians Seek to Understand

By Kevin Hartnett
April 8, 2020
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A landmark proof in computer science has also solved an important problem called the Connes embedding conjecture. Mathematicians are working to understand it.

Icosahedron
geometry

A New Path to Equal-Angle Lines

By Kevin Hartnett
April 11, 2017
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Equiangular lines are an elemental part of geometry. Mathematicians have discovered a tighter limit on the number of such lines that exist in every dimension.

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