Computing with High-Dimensional Vectors
"Computing power'' usually implies numbers, speed, high-precision arithmetic, large memory, operating with uncompromising reliability and reasonable demands on energy. Contradiction in these requirements is leading to leveling off of the amount of computing per dollar, referred to popularly as "Moore's Law running out of steam.'' Here we consider the possibility of increasing computing power by computing with high-dimensional (10,000-D) vectors that need not be ultra-reliable nor precise. The theory can guide the development of nanotechnology, and applications abound in areas now the domain of AI, neural nets, and deep learning.