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pro vyhledávání: '"Le, Huiling"'
We prove a central limit theorem (CLT) for the Frechet mean of independent and identically distributed observations in a compact Riemannian manifold assuming that the population Frechet mean is unique. Previous general CLT results in this setting hav
Externí odkaz:
http://arxiv.org/abs/2210.17191
We detail an approach to develop Stein's method for bounding integral metrics on probability measures defined on a Riemannian manifold $\mathbf M$. Our approach exploits the relationship between the generator of a diffusion on $\mathbf M$ with target
Externí odkaz:
http://arxiv.org/abs/2003.11497
Molecular dynamics simulations produce huge datasets of temporal sequences of molecules. It is of interest to summarize the shape evolution of the molecules in a succinct, low-dimensional representation. However, Euclidean techniques such as principa
Externí odkaz:
http://arxiv.org/abs/1903.09445
Akademický článek
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There has been increasing interest in statistical analysis of data lying in manifolds. This paper generalizes a smoothing spline fitting method to Riemannian manifold data based on the technique of unrolling and unwrapping originally proposed in Jupp
Externí odkaz:
http://arxiv.org/abs/1801.04978
Autor:
Barden, Dennis, Le, Huiling
The first part of the paper studies the expression for, and the properties of, the logarithm map on an orthant space, which is a simple stratified space, with the aim of analysing Frechet means of probability measures on such a space. In the second p
Externí odkaz:
http://arxiv.org/abs/1703.07081
Akademický článek
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Autor:
Le, Huiling
Publikováno v:
Annals of Applied Probability 2015, Vol. 25, No. 6, 3033-3046
This paper studies rescaled images, under $\exp^{-1}_{\mu}$, of the sample Fr\'{e}chet means of i.i.d. random variables $\{X_k\vert k\geq 1\}$ with Fr\'{e}chet mean $\mu$ on a Riemannian manifold. We show that, with appropriate scaling, these images
Externí odkaz:
http://arxiv.org/abs/1510.06869
Statistical classification of actions in videos is mostly performed by extracting relevant features, particularly covariance features, from image frames and studying time series associated with temporal evolutions of these features. A natural mathema
Externí odkaz:
http://arxiv.org/abs/1503.06699
As demonstrated in our previous work on ${\boldsymbol T}_{4}$, the space of phylogenetic trees with four leaves, the global, as well as the local, topological structure of the space plays an important role in the non-classical limiting behaviour of t
Externí odkaz:
http://arxiv.org/abs/1409.7602