Mathelirium(@mathelirium):The High-Dimensional Ball Is Full, but Its Probability Mass Lives Near the Boundary High-dimensional probability is weird. As the dimension grows, a uniform point in the ball does not usually land deep inside. Most of the mass gets pushed into a very thin shell near the boundary.

Mathelirium

@mathelirium

My work sits at the intersection of Applied Mathematics, Computational Physics, Scientific Visualization, and Technical Storytelling.

参加 July 2023

13.4K フォロー中 33.9K ファン

Mathelirium@mathelirium

2026.04.07 11:56

The High-Dimensional Ball Is Full, but Its Probability Mass Lives Near the Boundary High-dimensional probability is weird. As the dimension grows, a uniform point in the ball does not usually land deep inside. Most of the mass gets pushed into a very thin shell near the boundary.