Determining the least expensive path for a new subway line underneath a metropolis like New York City is a colossal planning challenge—involving thousands of potential routes through hundreds of city ...

The algorithm relies on the Kac-Ward formalism, a mathematical method that allows exact computation of partition functions for planar spin glass systems in polynomial time, making it possible to ...

Algorithms that zero in on solutions to optimization problems are the beating heart of machine reasoning. New results reveal surprising limits. Our lives are a succession of optimization problems.