Latent space models (LSM) for network data were introduced by Holf et al. (2002) under the basic assumption that each node of the network has an unknown position in a D-dimensional Euclidean latent space: generally the ...
In Ireland and in the UK, bovine tuberculosis(bTB) infects cattle and wildlife badgers (Meles meleslinnaeus) and badgers contribute to the spread of the disease in cattle. Isotropic and anisotropic spatio-temporalmodels ...
The main result of the paper states the following: Let ψ be a polynomial
in n variables of degree t: Suppose that there exists a constant C > 0 such
that any polynomial f has a polynomial decomposition f = ψ qf + hf ...
A filtering integration scheme is developed, using a modification of the contour
used to invert the Laplace transform (LT). It is shown to eliminate components
with frequencies higher than a specified cut-off value. Thus ...
In this paper we combine the Laplace transform (LT) scheme with a semi-
Lagrangian advection scheme, and implement it in a shallow water model. It
is compared to a reference model using the semi-implicit (SI) scheme, ...
Network modeling can be approached using either discriminative or probabilistic
models. In the task of link prediction a probabilistic model will give a probability
for the existence of a link; while in some scenarios ...
Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given. In addition, ...
In [O'S], the level and sublevel of composition algebras are studied, wherein these quantities are determined for those algebras defined over local fields. In this paper, the level and sublevel of composition algebras, of ...
R. V. Kadison (J. Algebra 130 (1990) 494–509) defined the notion of local derivation on an algebra and proved that every continuous local derivation on a von Neumann algebra is a derivation. We provide the analogous result ...
An observational study was carried out, using data collected from four areas in the Irish midlands, between 1989 and 2004, to critically evaluate the long-term effects of proactive badger culling and to provide insights ...
Background: Determining sample sizes for metabolomic experiments is important but due to the complexity of these experiments, there are currently no standard methods for sample size estimation in metabolomics. Since pilot ...
A new family of mixture models for the model-based clustering of longitudinal data is introduced.
The covariance structures of eight members of this new family of models are given and the associated maximum likelihood ...
In recent years, work has been carried out on clustering gene expression microarray data. Some approaches are developed from an algorithmic viewpoint whereas others are developed via the application of mixture models. In ...
Monte Carlo algorithms often aim to draw from a distribution π by simulating a Markov chain with transition kernel P such that π is invariant under P. However, there are many situations for which it is impractical or ...
Let D be a masa in B(H) where H is a separable Hilbert space. We find real numbers η0 < η1 < η2 < · · · < η6 so that for every bounded, normal D-bimodule map Φ on B(H), either kΦk > η6 or kΦk = ηk for some k ∈ {0, 1, 2, ...
We give a simple presentation of the additive Milnor-Witt K-theory groups KMWn(F) of the field F, for n≥2, in terms of the natural small set of generators. When n = 2, this specialises to a theorem of Suslin which essentially ...
Let LN+1 be a linear differential operator of order N + 1 with constant coefficients
and real eigenvalues λ 1, ..., λ N+1, let E( N+1) be the space of all C∞-solutions of
LN+1 on the real line.We show that for N 2 and ...
The dynamics of non-divergent flow on a rotating sphere are described by the conservation of absolute vorticity. The
analytical study of the non-linear barotropic vorticity equation is greatly facilitated by the expansion ...