Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Schmah, Tanya"'
Autor:
Ohri, Aditya, Schmah, Tanya
We have implemented a machine translation system, the PolyMath Translator, for LaTeX documents containing mathematical text. The current implementation translates English LaTeX to French LaTeX, attaining a BLEU score of 53.5 on a held-out test corpus
Externí odkaz:
http://arxiv.org/abs/2010.05229
Autor:
Schmah, Tanya, Stoica, Cristina
Using geometric mechanics methods, we examine aspects of the dynamics of n mass points in $\mathbb{R}^4$ with a general pairwise potential. We investigate the central force problem, set up the n-body problem and discuss certain properties of relative
Externí odkaz:
http://arxiv.org/abs/1907.08746
Brain lesions, including stroke and tumours, have a high degree of variability in terms of location, size, intensity and form, making automatic segmentation difficult. We propose an improvement to existing segmentation methods by exploiting the bilat
Externí odkaz:
http://arxiv.org/abs/1907.08196
Autor:
Schmah, Tanya, Stoica, Cristina
The two full body problem concerns the dynamics of two spatially extended rigid bodies (e.g. rocky asteroids) subject to mutual gravitational interaction. In this note we deduce the Euler-Poincare and Hamiltonian equations of motion using the geometr
Externí odkaz:
http://arxiv.org/abs/1901.00776
Autor:
Kuang, Dongyang, Schmah, Tanya
We present a new unsupervised learning algorithm, "FAIM", for 3D medical image registration. With a different architecture than the popular "U-net", the network takes a pair of full image volumes and predicts the displacement fields needed to registe
Externí odkaz:
http://arxiv.org/abs/1811.09243
The geometric approach to diffeomorphic image registration known as "large deformation by diffeomorphic metric mapping" (LDDMM) is based on a left action of diffeomorphisms on images, and a right-invariant metric on a diffeomorphism group, usually de
Externí odkaz:
http://arxiv.org/abs/1401.3609
Autor:
Schmah, Tanya, Stoica, Cristina
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2019 Nov . 377(2158), 1-24.
Externí odkaz:
https://www.jstor.org/stable/26838333
Autor:
Schmah, Tanya, Stoica, Cristina
We consider free and proper cotangent-lifted symmetries of Hamiltonian systems. For the special case of G = SO(3), we construct symplectic slice coordinates around an arbitrary point. We thus obtain a parametrisation of the phase space suitable for t
Externí odkaz:
http://arxiv.org/abs/1311.7447
Autor:
Schmah, Tanya, Stoica, Cristina
The simplest non-collision solutions of the N-body problem are the "relative equilibria", in which each body follows a circular orbit around the centre of mass and the shape formed by the N bodies is constant. It is easy to see that the moment of ine
Externí odkaz:
http://arxiv.org/abs/math/0510012
Autor:
Schmah, Tanya
This article concerns cotangent-lifted Lie group actions; our goal is to find local and ``semi-global'' normal forms for these and associated structures. Our main result is a constructive cotangent bundle slice theorem that extends the Hamiltonian sl
Externí odkaz:
http://arxiv.org/abs/math/0409148