Zobrazeno 1 - 10
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pro vyhledávání: '"McLeod, Andrew D."'
Autor:
Lyons, Terry, McLeod, Andrew D.
In this paper we introduce the Higher Order Lipschitz Greedy Recombination Interpolation Method (HOLGRIM) for finding sparse approximations of Lip$(\gamma)$ functions, in the sense of Stein, given as a linear combination of a (large) number of simple
Externí odkaz:
http://arxiv.org/abs/2406.03232
Autor:
Lyons, Terry, McLeod, Andrew D.
We investigate the consequence of two Lip$(\gamma)$ functions, in the sense of Stein, being close throughout a subset of their domain. A particular consequence of our results is the following. Given $K_0 > \varepsilon > 0$ and $\gamma > \eta > 0$ the
Externí odkaz:
http://arxiv.org/abs/2404.06849
Publikováno v:
Proceedings of the 41st International Conference on Machine Learning, 2024
The vector field of a controlled differential equation (CDE) describes the relationship between a control path and the evolution of a solution path. Neural CDEs (NCDEs) treat time series data as observations from a control path, parameterise a CDE's
Externí odkaz:
http://arxiv.org/abs/2402.18512
Autor:
Lyons, Terry, McLeod, Andrew D.
Signature-based techniques give mathematical insight into the interactions between complex streams of evolving data. These insights can be quite naturally translated into numerical approaches to understanding streamed data, and perhaps because of the
Externí odkaz:
http://arxiv.org/abs/2206.14674
Autor:
Lyons, Terry, McLeod, Andrew D.
In this paper we develop the Greedy Recombination Interpolation Method (GRIM) for finding sparse approximations of functions initially given as linear combinations of some (large) number of simpler functions. In a similar spirit to the CoSaMP algorit
Externí odkaz:
http://arxiv.org/abs/2205.07495
Autor:
McLeod, Andrew D., Topping, Peter M.
In this paper, we construct a pyramid Ricci flow starting with a complete Riemannian manifold $(M^n,g_0)$ that is PIC1, or more generally satisfies a lower curvature bound $K_{IC_1}\geq -\alpha_0$. That is, instead of constructing a flow on $M\times
Externí odkaz:
http://arxiv.org/abs/1906.07292
Autor:
McLeod, Andrew D.
We obtain an improved pseudolocality result for Ricci flows on two-dimensional surfaces that are initially almost-hyperbolic on large hyperbolic balls. We prove that, at the central point of the hyperbolic ball, the Gauss curvature remains close to t
Externí odkaz:
http://arxiv.org/abs/1807.09005
Autor:
McLeod, Andrew D., Topping, Peter M.
We construct a global homeomorphism from any 3D Ricci limit space to a smooth manifold, that is locally bi-Holder. This extends the recent work of Miles Simon and the second author, and we build upon their techniques. A key step in our proof is the c
Externí odkaz:
http://arxiv.org/abs/1803.00414
Autor:
McLeod, Andrew D.1 (AUTHOR), Topping, Peter M.2 (AUTHOR)
Publikováno v:
Transactions of the American Mathematical Society, Series B. 5/19/2022, Vol. 9, p345-370. 26p.
Autor:
Lyons, Terry, McLeod, Andrew D.
In this paper we develop the Generalised Recombination Interpolation Method (GRIM) for finding sparse approximations of functions initially given as linear combinations of some (large) number of simpler functions. GRIM is a hybrid of dynamic growth-b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f91eb984319cb82fcd2f9f73accdd2f
https://doi.org/10.48550/arxiv.2205.07495
https://doi.org/10.48550/arxiv.2205.07495