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231 papers · 1 filter
Concrete Sentence Spaces for Compositional Distributional Models of Meaning
Edward Grefenstette, Mehrnoosh Sadrzadeh, Stephen Clark +2
Coecke, Sadrzadeh, and Clark (arXiv:1003.4394v1 [cs.CL]) developed a compositional model of meaning for distributional semantics, in which each word in a sentence has a meaning vec…
Generalised Wishart Processes
Andrew Gordon Wilson, Zoubin Ghahramani
We introduce a stochastic process with Wishart marginals: the generalised Wishart process (GWP). It is a collection of positive semi-definite random matrices indexed by any arbitra…
Modified Virial Formulae and the Theory of Mass Estimators
J. An, N. W. Evans
We show how to estimate the enclosed mass from the observed motions of an ensemble of test particles. Traditionally, this problem has been attacked through virial or projected mass…
A frequency function and singular set bounds for branched minimal immersions
Leon Simon, Neshan Wickramasekera
We show that any 2-valued C^{1, α} (α\in (0, 1)) function u = {u_{1}, u_{2}} on an open ball B in {\mathbb R}^{n} with values u_{1}, u_{2} \in {\mathbb R}^{k} whose graph, viewed a…
The collective motion of nematodes in a thin liquid layer
Sean Gart, Dominic Vella, Sunghwan Jung
Many organisms live in confined fluidic environments such as the thin liquid layers on the skin of host organisms or in partially- saturated soil. We investigate the collective beh…
Skyrmions, Rational Maps & Scaling Identities
E. G. Charalampidis, T. A. Ioannidou, N. S. Manton
Starting from approximate Skyrmion solutions obtained using the rational map ansatz, improved approximate Skyrmions are constructed using scaling arguments. Although the energy imp…