Max Planck Institute for Mathematics in the Sciences

output

19972026

most citedOn the Number of Linear Regions of Deep Neural Networks

832 citations

Showing 2022 · math.DGShow all

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math.DG2022

Dirac-harmonic maps with trivial index

Jürgen Jost, Linlin Sun, Jingyong Zhu

For a homotopy class $[u]$ of maps between a closed Riemannian manifold $M$ and a general manifold $N$ , we want to find a Dirac-harmonic map with the map component in the given hom…

math.DG2022★ 6 cited

Monoidally graded manifolds

Shuhan Jiang

We give a generalization of the theory of $Z_{2}$ -graded manifolds to a theory of $I$ -graded manifolds, where $I$ is a commutative semi-ring with some ad…