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Artificial Intelligence Reduces a 100,000-equation Quantum Physics problem to only Four Equations

A visualization of a mathematical apparatus used to capture the physics and behavior of electrons moving on a lattice. Each pixel represents a single interaction between two electrons. Until now, accurately capturing the system required around 100,000 equations — one for each pixel. Using machine learning, scientists reduced the problem to just four equations. That means a similar visualization for the compressed version would need just four pixels. Domenico Di Sante/Flatiron Institute

Researchers trained a machine learning tool to capture the physics of electrons moving on a lattice using far fewer equations than would typically be required, all without sacrificing accuracy.

Using artificial intelligence, physicists have compressed a daunting quantum problem that until now requir...

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