%% Papers Published
@article{fds337143,
Author = {Wang, J and Sun, H and Li, D},
Title = {A GeodesicBased Riemannian Gradient Approach to Averaging
on the Lorentz Group},
Journal = {Entropy},
Volume = {19},
Number = {12},
Pages = {698698},
Publisher = {MDPI AG},
Year = {2017},
Month = {December},
url = {https://www.mdpi.com/10994300/19/12/698/},
Doi = {10.3390/e19120698},
Key = {fds337143}
}
@article{fds346337,
Author = {Cao, L and Li, D and Zhang, E and Zhang, Z and Sun, H},
Title = {A Statistical Cohomogeneity One Metric on the Upper Plane
with Constant Negative Curvature},
Journal = {Advances in Mathematical Physics},
Volume = {2014},
Pages = {16},
Publisher = {Hindawi Limited},
Year = {2014},
url = {https://www.hindawi.com/journals/amp/2014/832683/abs/},
Abstract = {<jats:p>we analyze the geometrical structures of statistical
manifold<jats:italic>S</jats:italic>consisting of all the
wrapped Cauchy distributions. We prove that<jats:italic>S</jats:italic>is
a simply connected manifold with constant negative
curvature??<mml:mi>K</mml:mi><mml:mo>=</mml:mo><mml:mo></mml:mo><mml:mn>2</mml:mn></mml:math>.
However, it is not isometric to the hyperbolic space
because<jats:italic>S</jats:italic>is noncomplete. In
fact,<jats:italic>S</jats:italic>is approved to be a
cohomogeneity one manifold. Finally, we use several tricks
to get the geodesics and explore the divergence performance
of them by investigating the Jacobi vector
field.</jats:p>},
Doi = {10.1155/2014/832683},
Key = {fds346337}
}
@article{fds341320,
Author = {Dongxiao Yang and Didong Li and Huafei Sun},
Title = {2D Dubins Path in Environments with Obstacle},
Journal = {Mathematical Problems in Engineering},
Volume = {2013},
Year = {2013},
url = {https://www.hindawi.com/journals/mpe/2013/291372/},
Doi = {10.1155/2013/291372},
Key = {fds341320}
}
%% Papers Submitted
@article{fds341808,
Author = {Didong Li and David B Dunson},
Title = {Classification via local manifold approximation},
Year = {2019},
url = {http://arxiv.org/abs/1903.00985},
Key = {fds341808}
}
@article{fds341807,
Author = {D. Li and Minerva Mukhopadhyay and David Dunson},
Title = {Efficient Manifold and Subspace Approximations with
Spherelets},
Year = {2018},
url = {http://arxiv.org/abs/1706.08263},
Key = {fds341807}
}
