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20192025
most citedGeometry-Aware Generative Autoencoders for Warped Riemannian Metric Learning and Generative Modeling on Data Manifolds

4 citations · 10 across the 7 of their papers we have counts for

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math.DG2019

Closed geodesics on doubled polygons

Ian Adelstein, Adam Fong

In this paper we study 1/k-geodesics, those closed geodesics that minimize on any subinterval of length , where is the length of the geodesic. We investigate the existence…

math.DG2019

Minimizing closed geodesics on polygons and disks

Ian Adelstein, Arthur Azvolinsky, Joshua Hinman +1

In this paper we study 1/k geodesics, those closed geodesics that minimize on all subintervals of length , where is the length of the geodesic. We develop new techniques t…

math.DG2019

Minimizing geodesic nets and critical points of distance

Ian M Adelstein

In this paper we establish a relationship between geodesic nets and critical points of the distance function. We bound the number of balanced points for certain minimizing geodesic…