Differential Geometry

[6] Hessian metric via transport information geometry

Wuchen Li UCLA

Differential Geometry Information Theory Mathematical Physics mathscidoc:2004.22001

arXiv:2003.10526, 2020.3
[ Download ] [ 2020-04-27 01:33:54 uploaded by lwc2017 ] [ 48 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] Ricci curvature for parametric statistics via optimal transport

Wuchen Li UCLA Guido Montufar UCLA

Differential Geometry Information Theory Machine Learning mathscidoc:2004.41001

Information geometry, 2020.1
[ Download ] [ 2020-04-27 01:31:01 uploaded by lwc2017 ] [ 50 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8] Free boundary minimal surfaces in the unit ball : recent advances and open questions

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10006

arXiv preprint arXiv:1907.05053, 2019.7
[ Download ] [ 2020-01-03 16:46:44 uploaded by Martin_Man_chun_Li ] [ 235 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[9] Min-max theory for free boundary minimal hypersurfaces II: general Morse index bounds and applications

Qiang Guang Australian National University Martin Man-chun Li Chinese University of Hong Kong Zhichao Wang Max-Planck Institute for Mathematics Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10005

arXiv preprint arXiv:1907.12064, 2019.7
[ Download ] [ 2020-01-03 16:43:37 uploaded by Martin_Man_chun_Li ] [ 123 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[10] A maximum principle for free boundary minimal varieties of arbitrary codimension

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10004

arXiv preprint arXiv:1708.05001, 2017.5
[ Download ] [ 2020-01-03 16:39:49 uploaded by Martin_Man_chun_Li ] [ 109 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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