17,031 research outputs found
Factorial graphical lasso for dynamic networks
Dynamic networks models describe a growing number of important scientific
processes, from cell biology and epidemiology to sociology and finance. There
are many aspects of dynamical networks that require statistical considerations.
In this paper we focus on determining network structure. Estimating dynamic
networks is a difficult task since the number of components involved in the
system is very large. As a result, the number of parameters to be estimated is
bigger than the number of observations. However, a characteristic of many
networks is that they are sparse. For example, the molecular structure of genes
make interactions with other components a highly-structured and therefore
sparse process.
Penalized Gaussian graphical models have been used to estimate sparse
networks. However, the literature has focussed on static networks, which lack
specific temporal constraints. We propose a structured Gaussian dynamical
graphical model, where structures can consist of specific time dynamics, known
presence or absence of links and block equality constraints on the parameters.
Thus, the number of parameters to be estimated is reduced and accuracy of the
estimates, including the identification of the network, can be tuned up. Here,
we show that the constrained optimization problem can be solved by taking
advantage of an efficient solver, logdetPPA, developed in convex optimization.
Moreover, model selection methods for checking the sensitivity of the inferred
networks are described. Finally, synthetic and real data illustrate the
proposed methodologies.Comment: 30 pp, 5 figure
Design of fibre reinforced PV concepts for building integrated applications
Fibre reinforced polymers present an interesting encapsulation medium for PV-modules. Glass fibres can provide increased strength and stiffness to thin polymer layers overcoming the brittleness and limited deformability of glass-panes. Glass fibre reinforced polymers allows for transparency over a broad range of the solar spectrum while the material properties and integral production processes create possibilities for novel product concepts with embedded PV technology. To explore such possibilities, innovative design methods were used to design novel PV product concepts for applications in the build environment.\ud
In our paper three conceptual designs are presented; (1) a thin film module with an adjoining interconnection system functioning as structural element for geodetic roofing structures, (2) a PV lamella with single-axis tracking utilizing a linear concentration effect caused by the geometry of the product and the materials applied, and (3) a prepreg PV-material which allows for easy shaping during the production of PV modules with complex geometries. Each concept employs a specific PV technology and demonstrates a possible application aimed at a specific market. In this way we show the potential of integration of PV technology in fibre reinforced composites. The paper will be illustrated by concept renderings
Pseudo-Duality
Proper symmetries act on fields while pseudo-symmetries act on both fields
and coupling constants. We identify the pseudo-duality groups that act as
symmetries of the equations of motion of general systems of scalar and vector
fields and apply our results to and supergravity theories. We
present evidence that the pseudo-duality group for both the heterotic and type
II strings toroidally compactified to four dimensions is ,
where is a certain subgroup of the diffeomorphism group of the scalar field
target space. This contains the conjectured heterotic or type II
proper duality group as a subgroup.Comment: 13 pages, phyzzx macr
On Some Stability Properties of Compactified D=11 Supermembranes
We desribe the minimal configurations of the bosonic membrane potential, when
the membrane wraps up in an irreducible way over . The
membrane 2-dimensional spatial world volume is taken as a Riemann Surface of
genus with an arbitrary metric over it. All the minimal solutions are
obtained and described in terms of 1-forms over an associated U(1) fiber
bundle, extending previous results. It is shown that there are no infinite
dimensional valleys at the minima.Comment: 12 pages,Latex2e lamuphys, Invited talk at International Seminar
"Supersymetry and Quantum Symmetries", Dubn
On The spectrum of a Noncommutative Formulation of the D=11 Supermembrane with Winding
A regularized model of the double compactified D=11 supermembrane with
nontrivial winding in terms of SU(N) valued maps is obtained. The condition of
nontrivial winding is described in terms of a nontrivial line bundle introduced
in the formulation of the compactified supermembrane. The multivalued
geometrical objects of the model related to the nontrivial wrapping are
described in terms of a SU(N) geometrical object which in the
limit, converges to the symplectic connection related to the area preserving
diffeomorphisms of the recently obtained non-commutative description of the
compactified D=11 supermembrane.(I. Martin, J.Ovalle, A. Restuccia. 2000,2001)
The SU(N) regularized canonical lagrangian is explicitly obtained. In the limit it converges to the lagrangian in (I.Martin, J.Ovalle,
A.Restuccia. 2000,2001) subject to the nontrivial winding condition. The
spectrum of the hamiltonian of the double compactified D=11 supermembrane is
discussed.
Generically, it contains local string like spikes with zero energy.
However the sector of the theory corresponding to a principle bundle
characterized by the winding number , described by the SU(N) model we
propose, is shown to have no local string-like spikes and hence the spectrum of
this sector should be discrete.Comment: 16 pages.Latex2
Intrinsic Moment of Inertia of Membranes as bounds for the mass gap of Yang-Mills Theories
We obtain the precise condition on the potentials of Yang-Mills theories in
0+1 dimensions and D0 brane quantum mechanics ensuring the discretness of the
spectrum. It is given in terms of a moment of inertia of the membrane. From it
we obtain a bound for the mass gap of any D+1 Yang-Mills theory in the
slow-mode regime. In particular we analyze the physical case D=3. The quantum
mechanical behavior of the theories, concerning its spectrum, is determined by
harmonic oscillators with frequencies given by the inertial tensor of the
membrane. We find a class of quantum mechanic potential polynomials of any
degree, with classical instabilities that at quantum level have purely discrete
spectrum.Comment: 12pages, Latex, minor changes, more explanatory comment
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