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.
Hasnain says:
“The difficulty is that high-dimensional shapes often behave in ways that defy our human, low-dimensional intuition. For example, in dimensions 10 and up, it is possible to build a cube and a ball such that the cube has larger volume than the ball, but every slice through the center of the cube has smaller area than the corresponding slice through the center of the ball.
“The beauty of high-dimensional geometry is exactly that it doesn’t look anything like dimension two,” said Sébastien Bubeck of Microsoft Research in Redmond, Washington.”
Posted on 2022-02-20T06:10:39+0000