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19972026
most citedOn the Number of Linear Regions of Deep Neural Networks

832 citations

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70 papers · 1 filter

math.DG2025

From the discrete to the continuous, from simplicial complexes to Riemannian manifolds. Approximating flows and cuts on manifolds by discrete versions

Marzieh Eidi, Juergen Jost, Dong Zhang

Many fundamental structures of Riemannian geometry have found discrete counterparts for graphs or combinatorial ones for simplicial complexes. These include those discussed in this…

math.DG2024

Connected components of the space of flags of transverse to a fixed pair and restrictions on Anosov subgroups

Clarence Kineider, Roméo Troubat

We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of . We compute…

math.DG2024

Rigidity of singular de-Sitter tori with respect to their lightlike bi-foliation

Martin Mion-Mouton

In this paper, we introduce a natural notion of constant curvature Lorentzian surfaces with conical singularities, and provide a large class of examples of such structures. We more…

math.DG2024

Geometric surgeries of three-dimensional flag structures and non-uniformizable examples

Elisha Falbel, Martin Mion-Mouton

In this paper, we introduce a notion of geometric surgery for flag structures, which are geometric structures locally modelled on the three-dimensional flag space under the action…

math.DG2023

A coadjoint orbit-like construction for Jordan superalgebras

Florio M. Ciaglia, Shuhan Jiang, Jürgen Jost +1

We investigate the canonical pseudo-Riemannian metrics associated with Jordan-analogues of the coadjoint orbits for pseudo-Euclidean Jordan superalgebras.

math.DG2022

Dirac-harmonic maps with trivial index

Jürgen Jost, Linlin Sun, Jingyong Zhu

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