Zobrazeno 1 - 10
of 6 461
pro vyhledávání: '"Tyrrell, P."'
Current methods for performing 3D reconstruction and novel view synthesis (NVS) in ultrasound imaging data often face severe artifacts when training NeRF-based approaches. The artifacts produced by current approaches differ from NeRF floaters in gene
Externí odkaz:
http://arxiv.org/abs/2408.10258
We prove rigidity and gap theorems for self-dual and even Poincar\'e-Einstein metrics in dimension four. As a corollary, we give an obstruction to the existence of self-dual Poincar\'e-Einstein metrics in terms of conformal invariants of the boundary
Externí odkaz:
http://arxiv.org/abs/2407.08851
We describe a general procedure for computing renormalized curvature integrals on Poincar\'e-Einstein manifolds. In particular, we explain the connection between the Gauss-Bonnet-type formulas of Albin and Chang-Qing-Yang for the renormalized volume,
Externí odkaz:
http://arxiv.org/abs/2404.11319
Autor:
Pérez-Ayala, Samuel, Tyrrell, Aaron J.
We derive a sharp upper bound for the first eigenvalue $\lambda_{1,p}$ of the $p$-Laplacian on asymptotically hyperbolic manifolds for $1
Externí odkaz:
http://arxiv.org/abs/2404.07365
Assuming the extrinsic $Q$-curvature admits a decomposition into the Pfaffian, a scalar conformal submanifold invariant, and a tangential divergence, we prove that the renormalized area of an even-dimensional minimal submanifold of a Poincar\'e-Einst
Externí odkaz:
http://arxiv.org/abs/2403.16710
Autor:
Walter, Andrew, Wu, Shimeng, Tyrrell, Andy M., McDaid, Liam, McElholm, Malachy, Sumithran, Nidhin Thandassery, Harkin, Jim, Trefzer, Martin A.
Artificial Neural Networks (ANNs) are one of the most widely employed forms of bio-inspired computation. However the current trend is for ANNs to be structurally homogeneous. Furthermore, this structural homogeneity requires the application of comple
Externí odkaz:
http://arxiv.org/abs/2403.16327
Autor:
Bayer, Margaret M., Borgwardt, Steffen, Chambers, Teressa, Daugherty, Spencer, Dawkins, Aleyah, Deligeorgaki, Danai, Liao, Hsin-Chieh, McAllister, Tyrrell, Morrison, Angela, Nelson, Garrett, Vindas-Meléndez, Andrés R.
For $\mathbf{b}=(b_1,\dots,b_n)\in \mathbb{Z}_{>0}^n$, a $\mathbf{b}$-parking function is defined to be a sequence $(\beta_1,\dots,\beta_n)$ of positive integers whose nondecreasing rearrangement $\beta'_1\leq \beta'_2\leq \cdots \leq \beta'_n$ satis
Externí odkaz:
http://arxiv.org/abs/2403.07387
A magic labeling of a graph is a labeling of the edges by nonnegative integers such that the label sum over the edges incident to every vertex is the same. This common label sum is known as the index. We count magic labelings by maximum edge label, r
Externí odkaz:
http://arxiv.org/abs/2403.04129
Autor:
Benko, Matus, Rockafellar, R. Tyrrell
Much is known about when a locally optimal solution depends in a single-valued Lipschitz continuous way on the problem's parameters, including tilt perturbations. Much less is known, however, about when that solution and a uniquely determined multipl
Externí odkaz:
http://arxiv.org/abs/2401.00601
Medical image analysis has become a prominent area where machine learning has been applied. However, high quality, publicly available data is limited either due to patient privacy laws or the time and cost required for experts to annotate images. In
Externí odkaz:
http://arxiv.org/abs/2310.16794