From the abstract: > "Diffusion geometry is a new theory that reformulates classical calculus and geometry in terms of a diffusion process, allowing these theo

From the abstract: > "Diffusion geometry is a new theory that reformulates classical calculus and geometry in terms of a diffusion process, allowing these theories to generalise beyond manifolds and be computed from data. This work introduces a new computational framework for diffusion geometry that substantially broadens its practical scope and improves its precision, robustness to noise, and computational complexity. "