3,236 research outputs found
Network inference in matrix-variate Gaussian models with non-independent noise
Inferring a graphical model or network from observational data from a large
number of variables is a well studied problem in machine learning and
computational statistics. In this paper we consider a version of this problem
that is relevant to the analysis of multiple phenotypes collected in genetic
studies. In such datasets we expect correlations between phenotypes and between
individuals. We model observations as a sum of two matrix normal variates such
that the joint covariance function is a sum of Kronecker products. This model,
which generalizes the Graphical Lasso, assumes observations are correlated due
to known genetic relationships and corrupted with non-independent noise. We
have developed a computationally efficient EM algorithm to fit this model. On
simulated datasets we illustrate substantially improved performance in network
reconstruction by allowing for a general noise distribution
Entanglement and Sources of Magnetic Anisotropy in Radical Pair-Based Avian Magnetoreceptors
One of the principal models of magnetic sensing in migratory birds rests on
the quantum spin-dynamics of transient radical pairs created photochemically in
ocular cryptochrome proteins. We consider here the role of electron spin
entanglement and coherence in determining the sensitivity of a radical
pair-based geomagnetic compass and the origins of the directional response. It
emerges that the anisotropy of radical pairs formed from spin-polarized
molecular triplets could form the basis of a more sensitive compass sensor than
one founded on the conventional hyperfine-anisotropy model. This property
offers new and more flexible opportunities for the design of biologically
inspired magnetic compass sensors
Asymmetric recombination and electron spin relaxation in the semiclassical theory of radical pair reactions
We describe how the semiclassical theory of radical pair recombination
reactions recently introduced by two of us [D. E. Manolopoulos and P. J. Hore,
J. Chem. Phys. 139, 124106 (2013)] can be generalised to allow for different
singlet and triplet recombination rates. This is a non-trivial generalisation
because when the recombination rates are different the recombination process is
dynamically coupled to the coherent electron spin dynamics of the radical pair.
Furthermore, because the recombination operator is a two-electron operator, it
is no longer sufficient simply to consider the two electrons as classical
vectors: one has to consider the complete set of 16 two-electron spin operators
as independent classical variables. The resulting semiclassical theory is first
validated by comparison with exact quantum mechanical results for a model
radical pair containing 12 nuclear spins. It is then used to shed light on the
spin dynamics of a carotenoid-porphyrin-fullerene (CPF) triad containing
considerably more nuclear spins which has recently been used to establish a
'proof of principle' for the operation of a chemical compass [K. Maeda et al.,
Nature 453, 387 (2008)]. We find in particular that the intriguing biphasic
behaviour that has been observed in the effect of an Earth-strength magnetic
field on the time-dependent survival probability of the photo-excited C+PF-
radical pair arises from a delicate balance between its asymmetric
recombination and the relaxation of the electron spin in the carotenoid
radical
Roman Bodies as Bodies of Romans: Corporeal Symbolism in Lucan's Pharsalia
HUMA 3107, Roman Republican LiteratureLA&PS 2016 Writing Prize Finalists, 3rd Year Honourable Mentio
Use of Building Information Modelling in Responding to Low Carbon Construction Innovations: an Irish Perspective
At present the Irish construction industry is facing one of its most uncertain and challenging periods and will see major cuts in all areas of the economy in 2012. Despite this, Ireland pushes forward in sustainability initiatives with the Government ruling that environmentally-friendly policies are to get priority in competing for State contracts worth up to âŹ16 billion a year. This and further initiatives are in place, so as to reduce greenhouse gas emissions by up to 20% by the year 2020. By the end of 2018 the public sector must own or rent only buildings with high energy-saving standards and promote the conversion of existing buildings to nearly zero standards. Furthermore, the retro-fitting of Ireland\u27s existing building stock will challenge Ireland to meet carbon targets. This paper outlines how Building Information Modelling (BIM) can be utilised on future and present public works projects in Ireland to significantly assist the Irish Government in managing a low carbon energy future. The paper will focus on the application of a sophisticated BIM model in helping to predict the performance of buildings or assess retrofit/upgrade options in managing low carbon construction. The authorsâ data collation methodology involved the testing and analysis of a BIM model for a public works project, used during a four day workshop in late 2011. The workshop proved a success and provided the platform for the Irish Government to see first-hand, how a collaborative BIM model used on a public works projects could provide a low carbon future for both future and existing building stock
Low temperature thermodynamics of charged bosons in a random potential and the specific heat of La_{2-x}Sr_{x}CuO_{4} below Tc
We propose a simple analytical form of the partition function for charged
bosons localised in a random potential and derive the consequent thermodynamics
below the superfluid transition temperature. In the low temperature limit, the
specific heat, C, depends on the localisation length exponent nu: C is linear
for nu1 we find C proportional to T^{1/nu}. This unusual
sub-linear temperature dependence of the specific heat has recently been
observed in La_{2-x}Sr_{x}CuO_{4} below Tc.Comment: Revtex, 6 pages, 4 postscript figure
âTosspotsâ and âQuaffersâ: Characterizations of Drinking and Drunkenness in Hamilton City, 1945-1989
This thesis investigates how drinking and drunkenness behaviours were characterized and viewed in Hamilton city and how they were influenced by a number of factors between the release of the 1945-46 Royal Commission on Licensingâs findings and the passing of the 1989 Sale of Liquor Act. In doing so this study seeks to examine drinking and drunkenness in an historical context that acknowledges these things as existing in more than simply a pathological light.
Through the themes of legislative change, cultural difference and characterizations of youth drinking and drunkenness this study answers a call to examine peopleâs understandings of drinking and drunkenness and the meanings they give to drinking and drunkenness in order to create a broader understanding of Hamiltonâs and New Zealandâs history
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