The paper explains a geometry puzzle from Plato's Meno.
arXiv research
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The Epicurean Philosophy is commonly thought as simplistic and hedonistic. Here I discuss how this is a misconception and explore its link to Reinforcement Learning. Based on the letters of Epicurus, I construct an objective function for hedonism which turns out to be equivalent of the Reinforcement Learning objective …
In the 1970s and again in the 1990s, Gromov gave a number of theorems and conjectures motivated by the notion that the real homotopy theory of compact manifolds and simplicial complexes influences the geometry of maps between them. The main technical result of this paper supports this intuition: we show that maps of di…
Paper warns of metric deformation in manifold learning, leading to incorrect answers.
ResNets and their GP generalization align ideas via function space warping, revealing robust properties and connections to image registration.