title: Colored noise induces synchronization of limit cycle oscillators

abstract:
  Driven by various kinds of noise, ensembles of limit cycle oscillators can
synchronize. In this letter, we propose a general formulation of
synchronization of the oscillator ensembles driven by common colored noise with
an arbitrary power spectrum. To explore statistical properties of such colored
noise-induced synchronization, we derive the stationary distribution of the
phase difference between two oscillators in the ensemble. This analytical
result theoretically predicts various synchronized and clustered states induced
by colored noise and also clarifies that these phenomena have a different
synchronization mechanism from the case of white noise.


title:
Valley- and spin-switch effects in molybdenum disulfide superconducting
  spin valve

abstract:
  We propose a hole-doped molybdenum disulfide (MoS$_2$) superconducting spin
valve (F/S/F) hybrid structure in which the Andreev reflection process is
suppressed for all incoming waves with a determined range of the chemical
potential in ferromagnetic (F) region and the cross-conductance in the right F
region depends crucially on the configuration of magnetizations in the two F
regions. Using the scattering formalism, we find that the transport is mediated
purely by elastic electron cotunneling (CT) process in a parallel configuration
and changes to the pure crossed Andreev reflection (CAR) process in the
low-energy regime, without fixing of a unique parameter, by reversing the
direction of magnetization in the right F region. This suggests both valley-
and spin-switch effects between the perfect elastic CT and perfect CAR
processes and makes the nonlocal charge current to be fully valley- and
spin-polarized inside the right F region where the type of the polarizations
can be changed by reversing the magnetization direction in the right F region.
We further demonstrate that the presence of the strong spin-orbit interaction
$\lambda$ and an additional topological term ($\beta$) in the Hamiltonian of
MoS$_2$ result in an enhancement of the charge conductance of the CT and CAR
processes and make them to be present for long lengths of the superconducting
region. Besides, we find that the thermal conductance of the structure with a
small length of the highly doped superconducting region exhibits linear
dependence on the temperature at low temperatures whereas it enhances
exponentially at higher temperatures. In particular, we demonstrate that the
thermal conductance versus the strength of the exchange field ($h$) in F region
displays a maximum value at $h<\lambda$, which moves towards larger exchange
fields by increasing the temperature.


title: Study of Cloud Computing in HealthCare Industry

abstract:
  In Todays real world technology has become a domiant crucial component in
every industry including healthcare industry. The benefits of storing
electronically the records of patients have increased the productivity of
patient care and easy accessibility and usage. The recent technological
innovations in the health care is the invention of cloud based Technology. But
many fears and security measures regarding patient records storing remotely is
a concern for many in health care industry. One needs to understand the
benefits and fears of implementation of cloud computing its advantages and
disadvantages of this new technology.


title:
A Study Of Cyber Security Challenges And Its Emerging Trends On Latest
  Technologies

abstract:
  Cyber Security plays an important role in the field of information technology
.Securing the information have become one of the biggest challenges in the
present day. When ever we think about the cyber security the first thing that
comes to our mind is cyber crimes which are increasing immensely day by day.
Various Governments and companies are taking many measures in order to prevent
these cyber crimes. Besides various measures cyber security is still a very big
concern to many. This paper mainly focuses on challenges faced by cyber
security on the latest technologies .It also focuses on latest about the cyber
security techniques, ethics and the trends changing the face of cyber security.


title: Forces on wheels and fuel consumption in cars

abstract:
  Motivated by real classroom discussions, we analyse the forces acting on
moving vehicles, specifically friction forces on the wheels. In usual cars,
with front-wheel drive, when the car accelerates these forces are in the
forward direction in the front wheels, but they are in the opposite direction
in the rear wheels. The situation may be intriguing for students, but it may
also be helpful and stimulating to clarify the role of friction forces on
rolling objects. In this article we also study thermodynamical aspects of an
accelerating car, relating the distance traveled with the amount of fuel
consumed. The fuel consumption is explicitly shown to be Galilean invariant and
we identify the Gibbs free energy as the relevant quantity that enters in the
thermodynamical description of the accelerating car. The more realistic case of
the car's motion taking into account the dragging forces is also discussed.


title: An empirical model for $pp$ scattering and geometrical scaling

abstract:
  We present the result of an empirical model for elastic $pp$ scattering at
LHC which indicates that the asymptotic black disk limit ${\cal
R}=\sigel/\sigtot\rightarrow1/2$ is not yet reached and discuss the
implications on classical geometrical scaling behavior. We propose a
geometrical scaling law for the position of the dip in elastic $pp$ scattering
which allows to make predictions valid both for intermediate and asymptotic
energies.


title:
The regulatory switch of F1-ATPase studied by single-molecule FRET in
  the ABEL Trap

abstract:
  F1-ATPase is the soluble portion of the membrane-embedded enzyme FoF1-ATP
synthase that catalyzes the production of adenosine triphosphate in eukaryotic
and eubacterial cells. In reverse, the F1 part can also hydrolyze ATP quickly
at three catalytic binding sites. Therefore, catalysis of 'non-productive' ATP
hydrolysis by F1 (or FoF1) must be minimized in the cell. In bacteria, the
epsilon subunit is thought to control and block ATP hydrolysis by mechanically
inserting its C-terminus into the rotary motor region of F1. We investigate
this proposed mechanism by labeling F1 specifically with two fluorophores to
monitor the C-terminus of the epsilon subunit by F\"orster resonance energy
transfer. Single F1 molecules are trapped in solution by an Anti-Brownian
electrokinetic trap which keeps the FRET-labeled F1 in place for extended
observation times of several hundreds of milliseconds, limited by
photobleaching. FRET changes in single F1 and FRET histograms for different
biochemical conditions are compared to evaluate the proposed regulatory
mechanism.


title: Extended Gauss-Bonnet gravities in Weyl geometry

abstract:
  In this paper we consider an extended Gauss-Bonnet gravity theory in
arbitrary dimensions and in a space provided with a Weyl connection, which is
torsionless but not metric-compatible, the non-metricity tensor being
determined by a vector field. The considered action consists of the usual
Einstein-Hilbert action plus all the terms quadratic in the curvature that
reduce to the usual Gauss-Bonnet term for vanishing Weyl connection, i.e., when
only the Levi-Civita part of the connection is present. We expand the action in
terms of Riemannian quantities and obtain vector-tensor theories. We find that
all the free parameters only appear in the kinetic term of the vector field so
that two branches are possible: one with a propagating vector field and another
one where the vector field does not propagate. We focus on the propagating
case. We find that in 4 dimensions, the theory is equivalent to Einstein's
gravity plus a Proca field. This field is naturally decoupled from matter so
that it represents a natural candidate for dark matter. Also in d=4, we discuss
a non-trivial cubic term in the curvature that can be constructed without
spoiling the second order nature of the field equations because it leads to the
vector-tensor Horndeski interaction. In arbitrary dimensions, the theory
becomes more involved. We show that, even though the vector field presents
kinetic interactions which do not have U(1) symmetry, there are no additional
propagating degrees of freedom with respect to the usual massive case.
Interestingly, we show that this relies on the fact that the corresponding
Stueckelberg field belongs to a specific class within the general Horndeski
theories. Finally, since Weyl geometries are the natural ground to build scale
invariant theories, we apply the usual Weyl-gauging in order to make the
Horndeski action locally scale invariant and discuss on new terms that can be
added.


title:
GEANT4 and PHITS simulations of the shielding of neutrons from
  $^{252}$Cf source

abstract:
  Neutron shielding simulations by using GEANT4 and PHITS code are performed.
As a neutron source, $^{252}$Cf is considered and the energy distribution of
the neutrons emitted from $^{252}$Cf is assumed the Watt fission spectrum. The
neutron dose equivalent rates with and without the shield are estimated for
shielding materials such as graphite, iron, polyethylene, NS-4-FR and
KRAFTON-HB. For the neutron shielding simulations by using GEANT4, high
precision (G4HP) model with G4NDL 4.2 based on ENDF-VII data are used. And for
PHITS simulations, JENDL-4.0 library are used for the same purpose. It is found
that differences between the shielding calculations by using GEANT4 with G4NDL
4.2 and PHITS with JENDL-4.0 library are not significant for all cases
considered in this work. We investigate the accuracy of the neutron dose
equivalent rates obtained from GEANT4 and PHITS by comparing our simulation
results with experimental data and other values calculated earlier. Calculated
neutron dose equivalent rates agree well with the experimental dose equivalent
rates within 20% errors except for polyethylene. For polyethylene material,
discrepancy between the calculations and the experiments are up to 40% but all
simulations show consistent features.


title: Protecting sing-photon multi-mode W state from photon loss

abstract:
  Single-photon entanglement is of major importance in current quantum
communications. However, it is sensitive to photon loss. In this paper, we
discuss the protection of single-photon multi-mode W state with noiseless
linear amplification. It is shown that the amplification factor is only decided
with the transmission coefficient of the variable fiber beam splitters, and it
does not change with the number of the spatial mode. This protocol may be
useful in current quantum information processing.


title:
Line-driven Disk Winds in Active Galactic Nuclei: The Critical
  Importance of Ionization and Radiative Transfer

abstract:
  Accretion disk winds are thought to produce many of the characteristic
features seen in the spectra of active galactic nuclei (AGN) and quasi-stellar
objects (QSOs). These outflows also represent a natural form of feedback
between the central supermassive black hole and its host galaxy. The mechanism
for driving this mass loss remains unknown, although radiation pressure
mediated by spectral lines is a leading candidate. Here, we calculate the
ionization state of, and emergent spectra for, the hydrodynamic simulation of a
line-driven disk wind previously presented by Proga & Kallman (2004). To
achieve this, we carry out a comprehensive Monte Carlo simulation of the
radiative transfer through, and energy exchange within, the predicted outflow.
We find that the wind is much more ionized than originally estimated. This is
in part because it is much more difficult to shield any wind regions
effectively when the outflow itself is allowed to reprocess and redirect
ionizing photons. As a result, the calculated spectrum that would be observed
from this particular outflow solution would not contain the ultraviolet
spectral lines that are observed in many AGN/QSOs. Furthermore, the wind is so
highly ionized that line-driving would not actually be efficient. This does not
necessarily mean that line-driven winds are not viable. However, our work does
illustrate that in order to arrive at a self-consistent model of line-driven
disk winds in AGN/QSO, it will be critical to include a more detailed treatment
of radiative transfer and ionization in the next generation of hydrodynamic
simulations.


title:
Device and semi-device independent random numbers based on
  non-inequality paradox

abstract:
  In this work, we propose device independent true random numbers generation
protocols based on non-inequality paradoxes such as Hardy's and Cabello's
non-locality argument. The efficiency of generating randomness in our protocols
are far better than any other proposed protocols certified by CHSH inequality
or other non-locality test involving inequalities. Thus, highlighting
non-inequality paradox as an important resource for device independent quantum
information processing in particular generating true randomness. As a
byproduct, we find that the non-local bound of the Cabello's argument with
arbitrary dimension is the same as the one achieved in the qubits system. More
interestingly, we propose a new dimension witness paradox based on the
Cabello's argument, which can be used for constructing semi-device-independent
true random numbers generation protocol.


title: Asymptotic safety on the lattice: The Nonlinear O(N) Sigma Model

abstract:
  We study the non-perturbative renormalization group flow of the nonlinear
O(N) sigma model in two and three spacetime dimensions using a scheme that
combines an effective local Hybrid Monte Carlo update routine, blockspin
transformations and a Monte Carlo demon method. In two dimensions our results
verify perturbative renormalizability. In three dimensions, we determine the
flow diagram of the theory for various $N$ and different truncations and find a
non-trivial fixed point, which indicates non-perturbative renormalizability. It
is related to the well-studied phase transition of the O(N) universality class
and characterizes the continuum physics of the model. We compare the obtained
renormalization group flows with recent investigations by means of the
Functional Renormalization Group.


title:
OI Fluorescent Line Contamination in Soft X-Ray Diffuse Background
  Obtained with Suzaku/XIS

abstract:
  The quantitative measurement of OVII line intensity is a powerful method for
understanding the soft X-ray diffuse background. By systematically analyzing
the OVII line intensity in 145 high-latitude Suzaku/XIS observations, the flux
of OI fluorescent line in the XIS spectrum, contaminating the OVII line, is
found to have an increasing trend with time especially after 2011. For these
observations, the OVII line intensity would be overestimated unless taking into
consideration the OI fluorescent line contamination. Since the OI line emission
originates from solar X-rays, this increase suggests that incident solar X-rays
at the OI fluorescence energy tend to be larger than the early phase of Suzaku
observations (2005 - 2010).


title: How do autodiffeomorphisms act on embeddings

abstract:
  We work in the smooth category. The following problem was suggested by E.
Rees in 2002: describe the precomposition action of self-diffeomorphisms of S^p
x S^q on the set of isotopy classes of embeddings S^p x S^q -> R^m. Let g : S^p
x S^q -> R^m be an embedding such that g |_{a x S^q} : a x S^q -> R^m - g (b x
S^q) is null-homotopic for some pair of different points a,b in S^p.
  Theorem. If h is an autodiffeomorphism of S^p x S^q identical on a
neighborhood of a x S^q for some a\in S^p and p<q and 2m<3p+3q+5, then g h is
isotopic to g.
  Let N be an oriented (p+q)-manifold and f : N -> R^m, g : S^p x S^q -> R^m
isotopy classes of embeddings. As a corollary we obtain that under certain
conditions for orientation-preserving embeddings s : S^p x D^q -> N the
S^p-parametric embedded connected sum f#_sg depends only on f,g and the
homology class of s|_{S^p x 0}.


title: Periods of modular forms and identities between Eisenstein series

abstract:
  Borisov and Gunnells observed in 2001 that certain linear relations between
products of two holomorphic weight 1 Eisenstein series had the same structure
as the relations between periods of modular forms; a similar phenomenon exists
in higher weights. We give a conceptual reason for this observation in
arbitrary weight. This involves an unconventional way of expanding the
Rankin-Selberg convolution of a cusp form with an Eisenstein series. We also
prove a partial result towards understanding the action of a Hecke operator on
a product of two Eisenstein series.


title:
Vector and fermion fields on a bouncing brane with a decreasing warp
  factor in a string-like defect

abstract:
  In a recent work, a model has been proposed where a brane is made of a scalar
field with bounce-type configurations and embedded in a bulk with a string-like
metric. This model produces an AdS scenario where the components of the energy
momentum tensor are finite and have its positivity ensured by a suitable choice
of the bounce configurations. In the present work, we study the issue of gauge
and fermion field localization in this scenario. In contrast with the five
dimensional case here the gauge field is localized without the dilaton
contribution. Nevertheless, it is remarkable that the localization of the
fermion field depends on the introduction of a minimal coupling with the
angular component of the gauge field, which differs clearly from five
dimensional scenarios. Furthermore, we perform a qualitative analysis of the
fermionic massive modes and conclude that only left handed fermions could be
localized in the brane.


title: Suppressed Non-Gaussianity in the Curvaton Model

abstract:
  We show that the local type non-Gaussianity in a class of curvaton models is
suppressed, i.e. the non-linearity parameters f_{NL} and those related with
higher order statistics can be at most O(1), even if the curvaton energy
density is subdominant at the decay. This situation is naturally realized in a
very simple curvaton potential with quadratic term plus quartic term.


title: A 4-vector formalism for classical mechanics

abstract:
  We present a matrix formalism, inspired by the Minkowski four-vectors of
special relativity, useful to solve classical physics problems related to both
mechanics and thermodynamics. The formalism turns out to be convenient to deal
with exercises involving non-conservative forces and production or destruction
of mechanical energy. On the other hand, it provides a framework to treat
straightforwardly changes of inertial reference frames, since it embodies the
Principle of Relativity. We apply the formalism to a few cases to better show
how it works.


title:
Disappearance of Mott oscillations in sub-barrier elastic scattering of
  identical heavy ions and the nuclear interaction

abstract:
  We investigate the possible disappearance of Mott oscillations in the
scattering of bosonic nuclei at sub-barrier energies. This effect is universal
and happens at a critical value of the Sommerfeld parameter. It is also found
that the inclusion of the short-range nuclear interaction has a profound
influence on this phenomenon. Thus we suggest that the study of this lack of
Mott oscillation, which we call, ``transverse isotropy" is a potentially useful
mean to study the nuclear interaction.


title: Efimov trimers under strong confinement

abstract:
  The dimensionality of a system can fundamentally impact the behaviour of
interacting quantum particles. Classic examples range from the fractional
quantum Hall effect to high temperature superconductivity. As a general rule,
one expects confinement to favour the binding of particles. However,
attractively interacting bosons apparently defy this expectation: while three
identical bosons in three dimensions can support an infinite tower of Efimov
trimers, only two universal trimers exist in the two dimensional case. We
reveal how these two limits are connected by investigating the problem of three
identical bosons confined by a harmonic potential along one direction. We show
that the confinement breaks the discrete Efimov scaling symmetry and destroys
the weakest bound trimers. However, the deepest bound Efimov trimer persists
under strong confinement and hybridizes with the quasi-two-dimensional trimers,
yielding a superposition of trimer configurations that effectively involves
tunnelling through a short-range repulsive barrier. Our results suggest a way
to use strong confinement to engineer more stable Efimov-like trimers, which
have so far proved elusive.


title:
Contrast Measures based on the Complex Correlation Coefficient for
  PolSAR Imagery

abstract:
  We derive contrast measures which involve the number of looks and the complex
correlation coefficient between polarization channels in PolSAR imagery. Using
asymptotic results which characterize the behavior of these measures, we derive
statistical regions of confidence which lead to test of hypothesis. An
application to real data is performed, confirming the importance of the
proposals.


title: The $R_{\infty} property for abelian groups

abstract:
  It is well known there is no finitely generated abelian group which has the
$R_\infty$ property. We will show that also many non-finitely generated abelian
groups do not have the $R_\infty$ property, but this does not hold for all of
them. In fact we construct an uncountable number of infinite countable abelian
groups which do have the $R_{\infty}$ property. We also construct an abelian
group such that the cardinality of the Reidemeister classes is uncountable for
any automorphism of that group. 8 pages, no figures


title: Periodic Behaviors in Constrained Multi-agent Systems

abstract:
  In this paper, we provide two discrete-time multi-agent models which generate
periodic behaviors. The first one is a multi-agent system of identical double
integrators with input saturation constraints, while the other one is a
multi-agent system of identical neutrally stable system with input saturation
constraints. In each case, we show that if the feedback gain parameters of the
local controller satisfy a certain condition, the multi-agent system exhibits a
periodic solution.


title: Gaussian-Perturbative Calculations with a Homogeneous External Source

abstract:
  We derive the equation of the critical curve and calculate the renormalized
masses of the $SO(N)$-symmetric $\lambda\phi^{4}$ model in the presence of a
homogeneous external source. We do this using the Gaussian-Perturbative
approximation on finite lattices and explicitly taking the continuum limit. No
disabling divergences are found in the final results, and no renormalization is
necessary. We show that the results give a complete description of the critical
behavior of the model and of the phenomenon of spontaneous symmetry breaking,
at the quantum-field-theoretical level.
  We show that the renormalized masses depend on the external source, and point
out the consequences of that fact for the design of computer simulations of the
model. We point out a simple but interesting consequence of the results,
regarding the role of the $\lambda\phi^{4}$ model in the Standard Model of
high-energy particle physics. Using the experimentally known values of the mass
and of the expectation value of the Higgs field, we determine uniquely the
values of the bare dimensionless parameters $\alpha$ and $\lambda$ of the
model, which turn out to be small numbers, significantly less that one.


title:
An Inequality with Applications to Structured Sparsity and Multitask
  Dictionary Learning

abstract:
  From concentration inequalities for the suprema of Gaussian or Rademacher
processes an inequality is derived. It is applied to sharpen existing and to
derive novel bounds on the empirical Rademacher complexities of unit balls in
various norms appearing in the context of structured sparsity and multitask
dictionary learning or matrix factorization. A key role is played by the
largest eigenvalue of the data covariance matrix.


title:
Some properties of ${\tau}$-adic expansions on hyperelliptic Koblitz
  curves

abstract:
  This paper explores two techniques on a family of hyperelliptic curves that
have been proposed to accelerate computation of scalar multiplication for
hyperelliptic curve cryptosystems. In elliptic curve cryptosystems, it is known
that Koblitz curves admit fast scalar multiplication, namely, the ${\tau}$-adic
non-adjacent form ($\tau$-NAF). It is shown that the $\tau$-NAF has the three
properties: (1) existence, (2) uniqueness, and (3) minimality of the Hamming
weight. These properties are not only of intrinsic mathematical interest, but
also desirable in some cryptographic applications. On the other hand,
G{\"u}nther, Lange, and Stein have proposed two generalizations of $\tau$-NAF
for a family of hyperelliptic curves, called \emph{hyperelliptic Koblitz
curves}. However, to our knowledge, it is not known whether the three
properties are true or not. We provide an answer to the question. Our
investigation shows that the first one has only the existence and the second
one has the existence and uniqueness. Furthermore, we shall prove that there
exist 16 digit sets so that one can achieve the second one.


title: Axial asymmetry in the IVBM

abstract:
  The dynamical symmetry limit of the two-fluid Interacting Vector Boson Model
(IVBM), defined through the chain $Sp(12,R) \supset U(3,3) \supset U_{p}(3)
\otimes \overline{U_{n}(3)} \supset SU^{\ast}(3) \supset SO(3)$, is considered
and applied for the description of nuclear collective spectra exhibiting
axially asymmetric features. The effect of the introduction of a Majorana
interaction to the $SU^{\ast}(3)$ model Hamiltonian on the $\gamma$-band
energies is studied. The theoretical predictions are compared with the
experimental data for $^{192}Os$, $^{190}Os$, and $^{112}Ru$ isotopes. It is
shown that by taking into account the full symplectic structures in the
considered dynamical symmetry of the IVBM, the proper description of the energy
spectra and the $\gamma$-band energy staggering of the nuclei under
considerations can be achieved. The obtained results show that the potential
energy surfaces for the following two nuclei $^{192}Os$ and $^{112}Ru$, possess
almost $\gamma$-flat potentials with very shallow triaxial minima, suggesting a
more complex and intermediate situation between $\gamma$-rigid and
$\gamma$-unstable structures. Additionally, the absolute $B(E2)$ intraband
transition probabilities between the states of the ground state band and
$\gamma$ band, as well as the $B(M1)$ interband transition probabilities
between the states of the ground and $\gamma$ bands for the two nuclei
$^{192}Os$ and $^{190}Os$ are calculated and compared with experiment and for
the $B(E2)$ values with the predictions of some other collective models
incorporating the $\gamma$-rigid or $\gamma$-unstable structures. The obtained
results agree well with the experimental data and reveal the relevance of the
used dynamical symmetry of IVBM in the description of nuclei exhibiting axially
asymmetric features in their spectra.


title: Real-time single-molecule imaging of quantum interference

abstract:
  The observation of interference patterns in double-slit experiments with
massive particles is generally regarded as the ultimate demonstration of the
quantum nature of these objects. Such matter-wave interference has been
observed for electrons, neutrons, atoms and molecules and it differs from
classical wave-physics in that it can even be observed when single particles
arrive at the detector one by one. The build-up of such patterns in experiments
with electrons has been described as the "most beautiful experiment in
physics". Here we show how a combination of nanofabrication and nanoimaging
methods allows us to record the full two-dimensional build-up of quantum
diffraction patterns in real-time for phthalocyanine molecules PcH2 and their
tailored derivatives F24PcH2 with a mass of 1298 amu. A laser-controlled
micro-evaporation source was used to produce a beam of molecules with the
required intensity and coherence and the gratings were machined in 10 nm thick
silicon nitride membranes to reduce the effect of van der Waals forces.
Wide-field fluorescence microscopy was used to detect the position of each
molecule with an accuracy of 10 nm and to reveal the build-up of a
deterministic ensemble interference pattern from stochastically arriving and
internally hot single molecules.


title:
Observation of measurement-induced entanglement and quantum trajectories
  of remote superconducting qubits

abstract:
  The creation of a quantum network requires the distribution of coherent
information across macroscopic distances. We demonstrate the entanglement of
two superconducting qubits, separated by more than a meter of coaxial cable, by
designing a joint measurement that probabilistically projects onto an entangled
state. By using a continuous measurement scheme, we are further able to observe
single quantum trajectories of the joint two-qubit state, confirming the
validity of the quantum Bayesian formalism for a cascaded system. Our results
allow us to resolve the dynamics of continuous projection onto the entangled
manifold, in quantitative agreement with theory.


title: On the Number of Linear Regions of Deep Neural Networks

abstract:
  We study the complexity of functions computable by deep feedforward neural
networks with piecewise linear activations in terms of the symmetries and the
number of linear regions that they have. Deep networks are able to sequentially
map portions of each layer's input-space to the same output. In this way, deep
models compute functions that react equally to complicated patterns of
different inputs. The compositional structure of these functions enables them
to re-use pieces of computation exponentially often in terms of the network's
depth. This paper investigates the complexity of such compositional maps and
contributes new theoretical results regarding the advantage of depth for neural
networks with piecewise linear activation functions. In particular, our
analysis is not specific to a single family of models, and as an example, we
employ it for rectifier and maxout networks. We improve complexity bounds from
pre-existing work and investigate the behavior of units in higher layers.


title: Bounds for the modified eccentric connectivity index

abstract:
  The modified eccentric connectivity index of a graph is defined as the sum of
the products of eccentricity with the total degree of neighboring vertices,
over all vertices of the graph. This is a generalization of eccentric
connectivity index. In this paper, we derive some upper and lower bounds for
the modified eccentric connectivity index in terms of some graph parameters
such as number of vertices, number of edges, radius, minimum degree, maximum
degree, total eccentricity, the first and second Zagreb indices, Weiner index
etc.


title: K-theory of derivators revisited

abstract:
  We define a $K$-theory for pointed right derivators and show that it agrees
with Waldhausen $K$-theory in the case where the derivator arises from a good
Waldhausen category. This $K$-theory is not invariant under general
equivalences of derivators, but only under a stronger notion of equivalence
that is defined by considering a simplicial enrichment of the category of
derivators. We show that derivator $K$-theory, as originally defined, is the
best approximation to Waldhausen $K$-theory by a functor that is invariant
under equivalences of derivators.


title: Spatial prediction variance estimation based on covariance penalty

abstract:
  In practice rarely (if ever) is the spatial covariance known in spatial
prediction problems. Often, prediction is performed after estimated spatial
covariance parameters are plugged into the prediction equation. The estimated
spatial association parameters arealso plugged into the prediction variance of
the spatial predictor. However, simply plugging in spatial covariance parameter
estimates into the prediction variance of the spatial predictor does not take
into account the uncertainty in the true values of the spatial covariance
parameters. Therefore the plug-in prediction variance estimate will
underestimate the true prediction variance of the estimated spatial predictor,
especially for small datasets. We propose a new way to estimate the prediction
variance of the estimated spatial predictor based on a covariance penalty using
parametric bootstrapping. Our new estimator is compared to three other
prediction variance estimators proposed in literature. The new prediction
variance estimator generally performs better than the plug in method for small
datasets with weak spatial association, although sometimes it is second best
among the four prediction variance estimators compared. Furthermore, the new
prediction variance estimator could potentially be used in the case of
non-normal prediction.


title: Exact fluctuation theorem without ensemble quantities

abstract:
  Evaluating the entropy production (EP) along a stochastic trajectory requires
the knowledge of the system probability distribution, an ensemble quantity
notoriously difficult to measure. In this paper, we show that the EP of
nonautonomous systems in contact with multiple reservoirs can be expressed
solely in terms of physical quantities measurable at the single trajectory
level with a suitable preparation of the initial condition. As a result, we
identify universal energy and particle fluctuation relations valid for any
measurement time. We apply our findings to an electronic junction model which
may be used to verify our prediction experimentally.


title:
A dynamo model of magnetic activity in solar-like stars with different
  rotational velocities

abstract:
  We attempt to provide a quantitative theoretical explanation for the
observations that Ca II H/K emission and X-ray emission from solar-like stars
increase with decreasing Rossby number (i.e., with faster rotation). Assuming
that these emissions are caused by magnetic cycles similar to the sunspot
cycle, we construct flux transport dynamo models of $1M_{\odot}$ stars rotating
with different rotation periods. We first compute the differential rotation and
the meridional circulation inside these stars from a mean-field hydrodynamics
model. Then these are substituted in our dynamo code to produce periodic
solutions. We find that the dimensionless amplitude $f_m$ of the toroidal flux
through the star increases with decreasing rotation period. The observational
data can be matched if we assume the emissions to go as the power 3-4 of $f_m$.
Assuming that the Babcock-Leighton mechanism saturates with increasing
rotation, we can provide an explanation for the observed saturation of emission
at low Rossby numbers. The main failure of our model is that it predicts an
increase of magnetic cycle period with increasing rotation rate, which is the
opposite of what is found observationally. Much of our calculations are based
on the assumption that the magnetic buoyancy makes the magnetic flux tubes to
rise radially from the bottom of the convection zone. On taking account of the
fact that the Coriolis force diverts the magnetic flux tubes to rise parallel
to the rotation axis in rapidly rotating stars, the results do not change
qualitatively.


title: The Lusternik-Schnirelmann category of metric spaces

abstract:
  We extend the theory of the Lusternik-Schnirelmann category to general metric
spaces by means of covers by arbitrary subsets. We also generalize the
definition of the strict category weight. We show that if the Bockstein
homomorphism on a metric space is non-zero, then its LS-category is at least
two, and use this to compute the category of Pontryagin surfaces. Additionally,
we prove that a Polish space with LS-category $n$ can be presented as the
inverse limit of ANR spaces of category at most $n$.


title:
Information Theory and Image Understanding: An Application to
  Polarimetric SAR Imagery

abstract:
  This work presents a comprehensive examination of the use of information
theory for understanding Polarimetric Synthetic Aperture Radar (PolSAR) images
by means of contrast measures that can be used as test statistics. Due to the
phenomenon called `speckle', common to all images obtained with coherent
illumination such as PolSAR imagery, accurate modelling is required in their
processing and analysis. The scaled multilook complex Wishart distribution has
proven to be a successful approach for modelling radar backscatter from forest
and pasture areas. Classification, segmentation, and image analysis techniques
which depend on this model have been devised, and many of them employ some kind
of dissimilarity measure. Specifically, we introduce statistical tests for
analyzing contrast in such images. These tests are based on the chi-square,
Kullback-Leibler, R\'enyi, Bhattacharyya, and Hellinger distances. Results
obtained by Monte Carlo experiments reveal the Kullback-Leibler distance as the
best one with respect to the empirical test sizes under several situations
which include pure and contaminated data. The proposed methodology was applied
to actual data, obtained by an E-SAR sensor over surroundings of
We$\beta$ssling, Bavaria, Germany.


title:
High-field spectroscopy of singlet-triplet transitions in the spin-dimer
  systems Sr3Cr2O8 and Ba3Cr2O8

abstract:
  Magnetic excitations in the isostructural spin-dimer systems Sr3Cr2O8 and
Ba3Cr2O8 are probed by means of high-field electron spin resonance at
sub-terahertz frequencies. Three types of magnetic modes were observed. One
mode is gapless and corresponds to transitions within excited states, while two
other sets of modes are gapped and correspond to transitions from the ground to
the first excited states. The selection rules of the gapped modes are analyzed
in terms of a dynamical Dzyaloshinskii-Moriya interaction, suggesting the
presence of phonon-assisted effects in the low-temperature spin dynamics of
Sr3Cr2O8 and Ba3Cr2O8


title: Applications of the Thick Distributional Calculus

abstract:
  We give several applications of the thick distributional calculus. We
consider homogeneous distributions, point source fields, and higher order
derivatives of order $0.$


title:
Sparse Illumination Learning and Transfer for Single-Sample Face
  Recognition with Image Corruption and Misalignment

abstract:
  Single-sample face recognition is one of the most challenging problems in
face recognition. We propose a novel algorithm to address this problem based on
a sparse representation based classification (SRC) framework. The new algorithm
is robust to image misalignment and pixel corruption, and is able to reduce
required gallery images to one sample per class. To compensate for the missing
illumination information traditionally provided by multiple gallery images, a
sparse illumination learning and transfer (SILT) technique is introduced. The
illumination in SILT is learned by fitting illumination examples of auxiliary
face images from one or more additional subjects with a sparsely-used
illumination dictionary. By enforcing a sparse representation of the query
image in the illumination dictionary, the SILT can effectively recover and
transfer the illumination and pose information from the alignment stage to the
recognition stage. Our extensive experiments have demonstrated that the new
algorithms significantly outperform the state of the art in the single-sample
regime and with less restrictions. In particular, the single-sample face
alignment accuracy is comparable to that of the well-known Deformable SRC
algorithm using multiple gallery images per class. Furthermore, the face
recognition accuracy exceeds those of the SRC and Extended SRC algorithms using
hand labeled alignment initialization.


title:
Design of Locally E-management System for Technical Education
  Foundation- Erbil

abstract:
  Until now, there is no e-management and automation necessary for the
operations or procedures of the departments in the Technical Education
Foundation Erbil, and the foundation like any other organization in Kurdistan
region is not connected to the network, because there is not infrastructure for
that purpose. To solve this problem, comes the proposal DLMS4TEF, which
requirements are divided into hardware and software, as hardware will need
Fast-Ethernet (LAN) technology to connect the departments of the Foundation via
Client-Server network later, when an infrastructure is established for
e-governments or e-management, it may be extended to the campus network. The
software is represented by installing windows server to implement the proposal
design of DLMS4TEF, PHP script is used as web programming that supports the
server, where as the HTML and JavaScript are used to support the client side.
The dynamic DLMS4TEF will be based on relational database, which is created by
using MySQL, to support processing hundreds of queries per second, and the
Kurdish Unicode to support Kurdish fonts of GUI's, Moreover, for security
DLMS4TEF allows each department in the Foundation to enter its own section and
prevent accessing other sections by using HTAccessible program which allows the
user to access by using his IP address and his computer only. The important
conclusions and advantages of applying DLMS4TEF are making backup to DLMS4TEF's
databases using the option (zipped) which allows them to reach the size of (3%)
of the original database size, sufficient security techniques, through
achieving levels of security, hidden access to the administrator section, and
finally DLMS4TEF, when compared with the traditional methods and project of
Oman, shows the same efficiency of some, if not better, features of Oman.
Keywords- E-management, Client-Server network, Fast-Ethernet, PHP, MySQL


title: Tactical Fixed Job Scheduling with Spread-Time Constraints

abstract:
  We address the tactical fixed job scheduling problem with spread-time
constraints. In such a problem, there are a fixed number of classes of machines
and a fixed number of groups of jobs. Jobs of the same group can only be
processed by machines of a given set of classes. All jobs have their fixed
start and end times. Each machine is associated with a cost according to its
machine class. Machines have spread-time constraints, with which each machine
is only available for $L$ consecutive time units from the start time of the
earliest job assigned to it. The objective is to minimize the total cost of the
machines used to process all the jobs. For this strongly NP-hard problem, we
develop a branch-and-price algorithm, which solves instances with up to $300$
jobs, as compared with CPLEX, which cannot solve instances of $100$ jobs. We
further investigate the influence of machine flexibility by computational
experiments. Our results show that limited machine flexibility is sufficient in
most situations.


title:
Network Multiple-Input and Multiple-Output for Wireless Local Area
  Networks

abstract:
  This paper presents a tutorial for network multiple-input and multiple-output
(netMIMO) in wireless local area networks (WLAN). Wireless traffic demand is
growing exponentially. NetMIMO allows access points (APs) in a WLAN to
cooperate in their transmissions as if the APs form a single virtual MIMO node.
NetMIMO can significantly increase network capacity by reducing interferences
and contentions through the cooperation of the APs. This paper covers a few
representative netMIMO methods, ranging from interference alignment and
cancelation, channel access protocol to allow MIMO nodes to join ongoing
transmissions, distributed synchronization, to interference and contention
mitigation in multiple contention domains. We believe the netMIMO methods
described here are just the beginning of the new technologies to address the
challenge of ever-increasing wireless traffic demand, and the future will see
even more new developments in this field.


title: Thermal Diffusion Doping of Single Crystal Diamond

abstract:
  With the best overall electronic and thermal properties, single-crystal
diamond (SCD) is the extreme wide bandgap material that is expected to
revolutionize power electronics and radio-frequency electronics in the future.
However, turning SCD into useful semiconductors faces doping challenges, as
conventional substitutional doping techniques, such as thermal diffusion and
ion-implantation, are not easily applicable to SCD. Here we report a simple and
easily accessible doping strategy demonstrating that electrically activated,
substitutional boron doping in natural SCD without any phase transitions or
lattice damage which can be readily realized with thermal diffusion at
relatively low temperature. For the boron doping, we employ a unique dopant
carrying medium: heavily doped Si nanomembranes. We further demonstrate
selectively doped high-voltage diodes and half-wave rectifier circuits using
such doped SCD. Our new doping strategy has established a reachable path toward
using SCDs for future high-voltage power conversion systems and for other novel
diamond-based electronics.


title: Universal mock theta functions and two-variable Hecke-Rogers identities

abstract:
  We obtain two-variable Hecke-Rogers identities for three universal mock theta
functions. This implies that many of Ramanujan's mock theta functions,
including all the third order functions, have a Hecke-Rogers-type double sum
representation. We find new generating function identities for the Dyson rank
function, the overpartition rank function, the M2-rank function and related
spt-crank functions. Results are proved using the theory of basic
hypergeometric functions.


title:
Hamiltonian closures for two-moment fluid models derived from
  drift-kinetic equations

abstract:
  We derive the conditions under which the fluid models obtained from the first
two moments of Hamiltonian drift-kinetic systems of interest to plasma physics,
preserve a Hamiltonian structure. The adopted procedure consists of determining
closure relations that allow to truncate the Poisson bracket of the
drift-kinetic system, expressed in terms of the moments, in such a way that the
resulting operation is a Poisson bracket for functionals of the first two fluid
moments. The analysis is carried out for a class of full drift-kinetic
equations and also for drift-kinetic systems in which a splitting between an
equilibrium distribution function and a perturbation is performed. In the
former case we obtain that the only closure, not involving integral or
differential operators, that leads to a Poisson bracket, corresponds to that of
an ideal adiabatic gas made of molecules possessing one degree of freedom. In
the latter case, Hamiltonian closures turn out to be those in which the second
moment is a linear combination of the first two moments, which can be seen as a
linearization of the Hamiltonian closure of the full drift-kinetic case. A
number of weakly-3D Hamiltonian reduced fluid models of interest, for instance
for tokamak plasmas, can be derived in this way and, viceversa given a fluid
model with a Hamiltonian structure of a certain type, a parent Hamiltonian
drift-kinetic model can then be identified. We make use of this correspondence
to identify the drift-kinetic models from which Hamiltonian fluid models for
magnetic reconnection and compressible plasma dynamics in the presence of a
static but inhomogeneous magnetic field can be derived. The Casimir invariants
of the Poisson brackets of the derived fluid models are also discussed.


title:
The free splitting complex of a free group II: Loxodromic outer
  automorphisms

abstract:
  We study the loxodromic elements for the action of $Out(F_n)$ on the free
splitting complex of the rank $n$ free group $F_n$. We prove that each outer
automorphism is either loxodromic, or has bounded orbits without any periodic
point, or has a periodic point; and we prove that all three possibilities can
occur. We also prove that two loxodromic elements are either co-axial or
independent, meaning that their attracting/repelling fixed point pairs on the
Gromov boundary of the free splitting complex are either equal or disjoint as
sets. Each of the alternatives in these results is also characterized in terms
of the attracting/repelling lamination pairs of an outer automorphism. As an
application, each attracting lamination determines its corresponding repelling
lamination independent of the outer automorphism. As part of this study we
describe the structure of the subgroup of $Out(F_n)$ that stabilizes the fixed
point pair of a given loxodromic outer automorphism, and we give examples which
show that this subgroup need not be virtually cyclic. As an application, the
action of $Out(F_n)$ on the free splitting complex is not acylindrical, and its
loxodromic elements do not all satisfy the WPD property of Bestvina and
Fujiwara.


title:
Symmetries of mesons after unbreaking of chiral symmetry and their
  string interpretation

abstract:
  Using the chirally invariant overlap Dirac operator we remove its
lowest-lying quasizero modes from the valence quark propagators and study
evolution of isovector mesons with J=1. At the truncation level about 50 MeV
SU(2)_L \times SU(2)_R and U(1)_A symmetries get restored. However, we observe
a degeneracy not only within the chiral and U(1)_A multiplets, but also a
degeneracy of all possible chiral multiplets, i.e., the observed quantum levels
have a symmetry larger than U(2)_L \times U(2)_R and their energy does not
depend on the spin orientation of quarks and their parities. We offer a
possible interpretation of these energy levels as the quantum levels of the
dynamical QCD string. The structure of the radial J=1 spectrum is compatible
with E =(n_r +1)\hbar\omega with \hbar\omega = 900 \pm 70 MeV.


title: A Consistent Histogram Estimator for Exchangeable Graph Models

abstract:
  Exchangeable graph models (ExGM) subsume a number of popular network models.
The mathematical object that characterizes an ExGM is termed a graphon. Finding
scalable estimators of graphons, provably consistent, remains an open issue. In
this paper, we propose a histogram estimator of a graphon that is provably
consistent and numerically efficient. The proposed estimator is based on a
sorting-and-smoothing (SAS) algorithm, which first sorts the empirical degree
of a graph, then smooths the sorted graph using total variation minimization.
The consistency of the SAS algorithm is proved by leveraging sparsity concepts
from compressed sensing.


title:
Development of COTS ADC SEE Test System for the ATLAS LAr Calorimeter
  Upgrade

abstract:
  Radiation-tolerant, high speed, high density and low power commercial
off-the-shelf (COTS) analog-to-digital converters (ADCs) are planned to be used
in the upgrade to the Liquid Argon (LAr) calorimeter front end (FE) trigger
readout electronics. Total ionization dose (TID) and single event effect (SEE)
are two important radiation effects which need to be characterized on COTS
ADCs. In our initial TID test, Texas Instruments (TI) ADS5272 was identified to
be the top performer after screening a total 17 COTS ADCs from different
manufacturers with dynamic range and sampling rate meeting the requirements of
the FE electronics. Another interesting feature of ADS5272 is its 6.5 clock
cycles latency, which is the shortest among the 17 candidates. Based on the TID
performance, we have designed a SEE evaluation system for ADS5272, which allows
us to further assess its radiation tolerance. In this paper, we present a
detailed design of ADS5272 SEE evaluation system and show the effectiveness of
this system while evaluating ADS5272 SEE characteristics in multiple
irradiation tests. According to TID and SEE test results, ADS5272 was chosen to
be implemented in the full-size LAr Trigger Digitizer Board (LTDB)
demonstrator, which will be installed on ATLAS calorimeter during the 2014 Long
Shutdown 1 (LS1).


title: Free integro-differential algebras and Gr\"obner-Shirshov bases

abstract:
  The notion of commutative integro-differential algebra was introduced for the
algebraic study of boundary problems for linear ordinary differential
equations. Its noncommutative analog achieves a similar purpose for linear
systems of such equations. In both cases, free objects are crucial for
analyzing the underlying algebraic structures, e.g. of the (matrix) functions.
In this paper we apply the method of Gr\"obner-Shirshov bases to construct the
free (noncommutative) integro-differential algebra on a set. The construction
is from the free Rota-Baxter algebra on the free differential algebra on the
set modulo the differential Rota-Baxter ideal generated by the noncommutative
integration by parts formula. In order to obtain a canonical basis for this
quotient, we first reduce to the case when the set is finite. Then in order to
obtain the monomial order needed for the Composition-Diamond Lemma, we consider
the free Rota-Baxter algebra on the truncated free differential algebra. A
Composition-Diamond Lemma is proved in this context, and a Gr\"obner-Shirshov
basis is found for the corresponding differential Rota-Baxter ideal.


title: On Representation Theory of Total (Co)Integrals

abstract:
  In this paper, we show that total integrals and cointegrals are new sources
of stable anti Yetter-Drinfeld modules. We explicitly show that how special
types of total (co)integrals can be used to provide both (stable) anti
Yetter-Drinfeld and Yetter- Drinfeld modules. We use these modules to classify
total (co)integrals and (cleft) Hopf Galois (co)extensions for some examples of
the Connes-Moscovici Hopf algebra, universal enveloping algebras and polynomial
algebras.


title: Thresholding Classifiers to Maximize F1 Score

abstract:
  This paper provides new insight into maximizing F1 scores in the context of
binary classification and also in the context of multilabel classification. The
harmonic mean of precision and recall, F1 score is widely used to measure the
success of a binary classifier when one class is rare. Micro average, macro
average, and per instance average F1 scores are used in multilabel
classification. For any classifier that produces a real-valued output, we
derive the relationship between the best achievable F1 score and the
decision-making threshold that achieves this optimum. As a special case, if the
classifier outputs are well-calibrated conditional probabilities, then the
optimal threshold is half the optimal F1 score. As another special case, if the
classifier is completely uninformative, then the optimal behavior is to
classify all examples as positive. Since the actual prevalence of positive
examples typically is low, this behavior can be considered undesirable. As a
case study, we discuss the results, which can be surprising, of applying this
procedure when predicting 26,853 labels for Medline documents.


title:
Twisting operators, twisted tensor products and smash products for
  Hom-associative algebras

abstract:
  The purpose of this paper is to provide new constructions of Hom-associative
algebras using Hom-analogues of certain operators called twistors and
pseudotwistors, by deforming a given Hom-associative multiplication into a new
Hom-associative multiplication. As examples, we introduce Hom-analogues of the
twisted tensor product and smash product. Furthermore we show that the
construction by the ''twisting principle'' introduced by Yau and the twisting
of associative algebras using pseudotwistors admit a common generalization


title:
R Markdown: Integrating A Reproducible Analysis Tool into Introductory
  Statistics

abstract:
  Nolan and Temple Lang argue that "the ability to express statistical
computations is an essential skill." A key related capacity is the ability to
conduct and present data analysis in a way that another person can understand
and replicate. The copy-and-paste workflow that is an artifact of antiquated
user-interface design makes reproducibility of statistical analysis more
difficult, especially as data become increasingly complex and statistical
methods become increasingly sophisticated. R Markdown is a new technology that
makes creating fully-reproducible statistical analysis simple and painless. It
provides a solution suitable not only for cutting edge research, but also for
use in an introductory statistics course. We present evidence that R Markdown
can be used effectively in introductory statistics courses, and discuss its
role in the rapidly-changing world of statistical computation.


title:
Dark-bright Solitons and their Lattices in Atomic Bose-Einstein
  Condensates

abstract:
  In the present contribution, we explore a host of different stationary
states, namely dark-bright solitons and their lattices, that arise in the
context of multi-component atomic Bose-Einstein condensates. The latter, are
modeled by systems of coupled Gross-Pitaevskii equations with general
interaction (nonlinearity) coefficients $g_{ij}$. It is found that in some
particular parameter ranges such solutions can be obtained in analytical form,
however, numerically they are computed as existing in a far wider parametric
range. Many features of the solutions under study, such as their analytical
form without the trap or the stability/dynamical properties of one dark-bright
soliton even in the presence of the trap are obtained analytically and
corroborated numerically. Additional features, such as the stability of soliton
lattice homogeneous states or their existence/stability in the presence of the
trap, are examined numerically.


title:
Correlated Orienteering Problem and it Application to Persistent
  Monitoring Tasks

abstract:
  We propose a novel non-linear extension to the Orienteering Problem (OP),
called the Correlated Orienteering Problem (COP). We use COP to model the
planning of informative tours for the persistent monitoring of a spatiotemporal
field with time-invariant spatial correlations, in which the tours are
constrained to have limited length. Our focus in this paper is QCOP a quadratic
COP formulation that only looks at correlations between neighboring nodes in a
node network. The main feature of QCOP is a quadratic utility function
capturing the said spatial correlation. QCOP may be solved using mixed integer
quadratic programming (MIQP), with the resulting anytime algorithm capable of
planning multiple disjoint tours that maximize the quadratic utility. In
particular, our algorithm can quickly plan a near-optimal tour over a network
with up to $150$ nodes. Besides performing extensive simulation studies to
verify the algorithm's correctness and characterize its performance, we also
successfully applied it to two realistic persistent monitoring tasks: (i)
estimation over a synthetic spatiotemporal field, and (ii) estimating the
temperature distribution in the state of Massachusetts.


title: Norm inflation for generalized magneto-hydrodynamic system

abstract:
  We consider the three-dimensional incompressible magneto-hydrodynamic system
with fractional powers of the Laplacian. We discover a wide range of spaces
where the norm inflation occurs and hence small initial data results are out of
reach. The norm inflation occurs not only in scaling invariant (critical)
spaces, but also in supercritical, and, surprisingly, subcritical ones.


title:
Harmonics Generation in Ultra-Thin Nanofilms Irradiated by Intense
  Nonrelativistic Short Laser Pulse

abstract:
  The problem of harmonics generation in nanotargets is considered at the range
of parameters (a nanotarget diameter and a pump laser intensity) when the
oscillation amplitude of an electron in a target is much larger than the target
width. Electron motion in charged nanotargets in the presence of a laser field
of different (non-relativistic) strength is considered. It is demonstarted that
for lasers of infrared frequencies clusters do not posess strong enough
potential to bound electrons with large oscillation amplitudes. Opposite to
clusters, nanofilms were found to be very perspective targets in the problem
considered. A simple analytic model and molecular dynamic simulations showed
increased harmonics generation when the oscillation amplitude of electrons in a
film becomes much larger, than the film width. Different regimes of generation
are briefly discussed.


title: Analysis of A Nonsmooth Optimization Approach to Robust Estimation

abstract:
  In this paper, we consider the problem of identifying a linear map from
measurements which are subject to intermittent and arbitarily large errors.
This is a fundamental problem in many estimation-related applications such as
fault detection, state estimation in lossy networks, hybrid system
identification, robust estimation, etc. The problem is hard because it exhibits
some intrinsic combinatorial features. Therefore, obtaining an effective
solution necessitates relaxations that are both solvable at a reasonable cost
and effective in the sense that they can return the true parameter vector. The
current paper discusses a nonsmooth convex optimization approach and provides a
new analysis of its behavior. In particular, it is shown that under appropriate
conditions on the data, an exact estimate can be recovered from data corrupted
by a large (even infinite) number of gross errors.


title:
On Shimura subvarieties generated by families of abelian covers of
  $\mathbb{P}^{1}$

abstract:
  We study the locus of abelian Galois covers of $\mathbb{P}^{1}$ in $A_{g}$
and the problem of occurrence of Shimura (special) subvarieties generated by
these covers in the Torelli locus $T_{g}$ inside $A_{g}$. We first investigate
the existence of Shimura subvarieties in the mentioned locus by some
computational methods based on Moonen-Oort works and then exclude many cases
using both characteristic $p$ methods and monodromy computations.


title: Helioseismic Constraints and Paradigm Shift in Solar Dynamo

abstract:
  Helioseismology provides important constraints for the solar dynamo problem.
However, the basic properties and even the depth of the dynamo process, which
operates also in other stars, are unknown. Most of the dynamo models suggest
that the toroidal magnetic field that emerges on the surface and forms sunspots
is generated near the bottom of the convection zone, in the tachocline.
However, there is a number of theoretical and observational problems with
justifying the deep-seated dynamo models. This leads to the idea that the
subsurface angular velocity shear may play an important role in the solar
dynamo. Using helioseismology measurements of the internal rotation and
meridional circulation, we investigate a mean-field MHD model of dynamo
distributed in the bulk of the convection zone but shaped in a near-surface
layer. We show that if the boundary conditions at the top of the dynamo region
allow the large-scale toroidal magnetic fields to penetrate into the surface,
then the dynamo wave propagates along the isosurface of angular velocity in the
subsurface shear layer, forming the butterfly diagram in agreement with the
Parker-Yoshimura rule and solar-cycle observations. Unlike the flux-transport
dynamo models, this model does not depend on the transport of magnetic field by
meridional circulation at the bottom of the convection zone, and works well
when the meridional circulation forms two cells in radius, as recently
indicated by deep-focus time-distance helioseismology analysis of the SDO/HMI
and SOHO/MDI data. We compare the new dynamo model with various characteristics
if the solar magnetic cycles, including the cycle asymmetry (Waldmeier's
relations) and magnetic `butterfly' diagrams.


title:
Infinitely many positive solutions for nonlinear fractional
  Schr\"{o}dinger equations

abstract:
  We consider the following nonlinear fractional Schr\"{o}dinger equation $$
(-\Delta)^su+u=K(|x|)u^p,\ \ u>0 \ \ \hbox{in}\ \ R^N, $$ where $K(|x|)$ is a
positive radial function, $N\ge 2$, $0<s<1$, $1<p<\frac{N+2s}{N-2s}$. Under
some asymptotic assumptions on $K(x)$ at infinity, we show that this problem
has infinitely many non-radial positive solutions, whose energy can be made
arbitrarily large.


title: Theory of Disk Accretion onto Magnetic Stars

abstract:
  Disk accretion onto magnetic stars occurs in a variety of systems, including
accreting neutron stars (with both high and low magnetic fields), white dwarfs,
and protostars. We review some of the key physical processes in
magnetosphere-disk interaction, highlighting the theoretical uncertainties. We
also discuss some applications to the observations of accreting neutron stars
and protostellar systems, as well as possible connections to protoplanetary
disks and exoplanets.


title:
Comparison of Electron Cloud Mitigating Coatings Using Retarding Field
  Analyzers

abstract:
  In 2008, the Cornell Electron Storage Ring (CESR) was reconfigured to serve
as a test accelerator (CESR-TA) for next generation lepton colliders, in
particular for the ILC damping ring. A significant part of this program has
been the installation of diagnostic devices to measure and quantify the
electron cloud effect, a potential limiting factor in these machines. One such
device is the Retarding Field Analyzer (RFA), which provides information on the
local electron cloud density and energy distribution. Several different styles
of RFAs have been designed, tested, and deployed throughout the CESR ring. They
have been used to study the growth of the cloud in different beam conditions,
and to evaluate the efficacy of different mitigation techniques. This paper
will provide an overview of RFA results obtained in a magnetic field free
environment.


title: A characterization of a Cauchy family on the complex space

abstract:
  It is shown that a family of distributions on the complex space is
characterized as the only family such that the orbit of one distribution under
a certain group of transformations on the complex space is the same as that
under the group of affine transformations. The resulting family is compared
with some existing families.


title: Complexity Degrees of Algebraic Structures

abstract:
  We aim at studying collections of algebraic structures defined over a
commutative ring and investigating the complexity of significant constructions
carried out on these objects. The assignment of measures of size, via a
multiplicity theory, to the algebras and to the construction itself is a novel
aspect to the subject.


title:
Star-Disc-Binary Interactions in Protoplanetary Disc Systems and
  Primordial Spin-Orbit Misalignments

abstract:
  We study the interactions between a protostar and its circumstellar disc
under the influence of an external binary companion to determine the evolution
of the mutual stellar spin - disc misalignment angle. The gravitational torque
on the disc from an inclined binary makes the disc precess around the binary
axis, while the star-disc interaction torque due to the rotation-induced
quadrupole makes the stellar spin and the disc angular momentum axes precess
around each other. A significant star-disc misalignment angle can be generated
from a small initial value as the star-disc system evolves in time such that
the two precession frequencies cross each other. This ``secular resonance''
behavior can be understood in a geometric way from the precession dynamics of
spin and disc angular momenta. We derive the conditions for such resonance to
occur, and find that they can be satisfied for reasonable protostar-disc-binary
parameters. The evolution of star-disc inclination is also affected by mass
accretion and by magnetic star-disc interaction torques, which can either
promote or reduce star-disc misalignment. In general, as long as the initial
binary-disc inclination is greater than a few degrees, a variety of star-disc
misalignment angles can be generated within the disc lifetimes. We discuss the
implications of our results for the stellar spin orientations in binaries, for
the alignments/misalignments of protostellar discs and debris discs, and for
the stellar obliquities in exoplanetary systems. In particular, if hot Jupiters
are produced by the Kozai effect induced by an external stellar companion, then
it is likely that ``primordial'' star-disc misalignments are already generated
by the star-disc-binary interactions. Even for systems where the Kozai effect
is suppressed, misaligned planets may still be produced during the
protoplanetary disc phase.


title: Conditioned limit laws for inverted max-stable processes

abstract:
  Max-stable processes are widely used to model spatial extremes. These
processes exhibit asymptotic dependence meaning that the large values of the
process can occur simultaneously over space. Recently, inverted max-stable
processes have been proposed as an important new class for spatial extremes
which are in the domain of attraction of a spatially independent max-stable
process but instead they cover the broad class of asymptotic independence. To
study the extreme values of such processes we use the conditioned approach to
multivariate extremes that characterises the limiting distribution of
appropriately normalised random vectors given that at least one of their
components is large. The current statistical methods for the conditioned
approach are based on a canonical parametric family of location and scale
norming functions. We study broad classes of inverted max-stable processes
containing processes linked to the widely studied max-stable models of
Brown-Resnick, Schlather and Smith, and identify conditions for the
normalisations to either belong to the canonical family or not. Despite such
differences at an asymptotic level, we show that at practical levels, the
canonical model can approximate well the true conditional distributions.


title:
A Bayesian Nonparametric Hypothesis Testing Approach for Regression
  Discontinuity Designs

abstract:
  The regression discontinuity (RD) design is a popular approach to causal
inference in non-randomized studies. This is because it can be used to identify
and estimate causal effects under mild conditions. Specifically, for each
subject, the RD design assigns a treatment or non-treatment, depending on
whether or not an observed value of an assignment variable exceeds a fixed and
known cutoff value.
  In this paper, we propose a Bayesian nonparametric regression modeling
approach to RD designs, which exploits a local randomization feature. In this
approach, the assignment variable is treated as a covariate, and a
scalar-valued confounding variable is treated as a dependent variable (which
may be a multivariate confounder score). Then, over the model's posterior
distribution of locally-randomized subjects that cluster around the cutoff of
the assignment variable, inference for causal effects are made within this
random cluster, via two-group statistical comparisons of treatment outcomes and
non-treatment outcomes.
  We illustrate the Bayesian nonparametric approach through the analysis of a
real educational data set, to investigate the causal link between basic skills
and teaching ability.


title: Scalable Automated Detection of Spiral Galaxy Arm Segments

abstract:
  Given an approximately centered image of a spiral galaxy, we describe an
entirely automated method that finds, centers, and sizes the galaxy and then
automatically extracts structural information about the spiral arms. For each
arm segment found, we list the pixels in that segment and perform a
least-squares fit of a logarithmic spiral arc to the pixels in the segment. The
algorithm takes about 1 minute per galaxy, and can easily be scaled using
parallelism. We have run it on all ~644,000 Sloan objects classified as
"galaxy" and large enough to observe some structure. Our algorithm is stable in
the sense that the statistics across a large sample of galaxies vary smoothly
based on algorithmic parameters, although results for individual galaxies can
sometimes vary in a non-smooth but easily understood manner. We find a very
good correlation between our quantitative description of spiral structure and
the qualitative description provided by humans via Galaxy Zoo. In addition, we
find that pitch angle often varies significantly segment-to-segment in a single
spiral galaxy, making it difficult to define "the" pitch angle for a single
galaxy. Finally, we point out how complex arm structure (even of long arms) can
lead to ambiguity in defining what an "arm" is, leading us to prefer the term
"arm segments".


title:
Work function measurements of vanadium doped diamond-like carbon films
  by ultraviolet photoelectron spectroscopy

abstract:
  Vanadium doped diamond-like carbon films prepared by unbalanced magnetron
sputtering have been investigated by X-ray and ultraviolet photoelectron
spectroscopy measurements for the purpose of revealing electronic structures
including values of work function on the surfaces. In addition to these
photoelectron measurements, X-ray diffraction measurements have been performed
to characterize the crystal structures.


title: Possibility of a superfluid in high multiplicity p-p and p-Pb collisions

abstract:
  We consider the case where the saturated and unequilibriated initial stage of
a high multiplicity p-p and p-Pb collision, may, due to high occupation number,
display superfluid properties. The special case of an unequilibrated plasma of
SU(2) gluons formed in the collision of two nuclei with deeply saturated gluon
wave functions is considered. Color gauge symmetry is broken by the presence of
a net non-vanishing, space-time dependent color expectation value. A two
component scenario is envisioned, containing momentum states that are densely
occupied below the saturation scale and a dilute normal fluid of excitations
within this state. The spectrum of these excitations is shown to have an energy
gap and thus it is hard to excite quanta out of the condensed state.
Consequences for the stress energy tensor are outlined, in particular the
possibility of a near invisid flow is discussed.


title: Polynomial quotients: Interpolation, value sets and Waring's problem

abstract:
  For an odd prime $p$ and an integer $w\ge 1$, polynomial quotients
$q_{p,w}(u)$ are defined by $$ q_{p,w}(u)\equiv \frac{u^w-u^{wp}}{p} \bmod p ~~
\mathrm{with}~~ 0 \le q_{p,w}(u) \le p-1, ~~u\ge 0, $$ which are
generalizations of Fermat quotients $q_{p,p-1}(u)$.
  First, we estimate the number of elements $1\le u<N\le p$ for which
$f(u)\equiv q_{p,w}(u) \bmod p$ for a given polynomial $f(x)$ over the finite
field $\mathbb{F}_p$. In particular, for the case $f(x)=x$ we get bounds on the
number of fixed points of polynomial quotients.
  Second, before we study the problem of estimating the smallest number (called
the Waring number) of summands needed to express each element of $\mathbb{F}_p$
as sum of values of polynomial quotients, we prove some lower bounds on the
size of their value sets, and then we apply these lower bounds to prove some
bounds on the Waring number using results from bounds on additive character
sums and additive number theory.


title:
Manipulation of tripartite-to-bipartite entanglement localization under
  quantum noises and its application to entanglement distribution

abstract:
  This paper is to investigate the effects of quantum noises on entanglement
localization by taking an example of reducing a three-qubit
Greenberger-Horne-Zeilinger (GHZ) state to a two-qubit entangled state. We
consider, respectively, two types of quantum decoherence, i.e.,
amplitude-damping and depolarizing decoherence, and explore the best von
Neumann measurements on one of three qubits of the triple GHZ state for making
the amount of entanglement of the collapsed bipartite state be as large as
possible. The results indicate that different noises have different impacts on
entanglement localization, and that the optimal strategy for reducing a
three-qubit GHZ state to a two-qubit one via local measurements and classical
communications in the amplitude-damping case is different from that in the
noise-free case. We also show that the idea of entanglement localization could
be utilized to improve the quality of bipartite entanglement distributing
through amplitude-damping channels. These findings might shed a new light on
entanglement manipulations and transformations.


title:
Enhanced spin-orbit interaction and Kondo scattering in $\delta$-doped
  LaTiO$_3$/SrTiO$_3$ interfaces

abstract:
  We present a study of delta ($\delta$) doping at LaTiO$_3$/SrTiO$_3$
(LTO/STO) interface with iso-structural antiferromagnetic perovskite LaCrO$_3$
(LCO) that dramatically alters the properties of the two dimensional electron
gas (2-DEG) at the interface. The effects include a reduction in sheet-carrier
density, prominence of the low temperature resistivity minimum, enhancement of
weak antilocalization below 10 K and observation of a strong anisotropic
magnetoresistance (MR). The positive and negative MR for out-of-plane and
in-plane field respectively and the field and temperature dependencies of MR
suggest Kondo scattering by localized Ti$^{3+}$ moments renormalized by
spin-orbit interaction at T $<$ 10 K, with the increased $\delta$-layer
thickness. Electron energy loss spectroscopy and density functional
calculations provide convincing evidence for blocking of electron transfer from
LTO to STO by the $\delta$-layer.


title:
Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev
  spaces and applications

abstract:
  We develop a constructive piecewise polynomial approximation theory in
weighted Sobolev spaces with Muckenhoupt weights for any polynomial degree. The
main ingredients to derive optimal error estimates for an averaged Taylor
polynomial are a suitable weighted Poincare inequality, a cancellation property
and a simple induction argument. We also construct a quasi-interpolation
operator, built on local averages over stars, which is well defined for
functions in $L^1$. We derive optimal error estimates for any polynomial degree
on simplicial shape regular meshes. On rectangular meshes, these estimates are
valid under the condition that neighboring elements have comparable size, which
yields optimal anisotropic error estimates over $n$-rectangular domains. The
interpolation theory extends to cases when the error and function regularity
require different weights. We conclude with three applications: nonuniform
elliptic boundary value problems, elliptic problems with singular sources, and
fractional powers of elliptic operators.


title: Matrix-Free Solvers for Exact Penalty Subproblems

abstract:
  We present two matrix-free methods for approximately solving exact penalty
subproblems that arise when solving large-scale optimization problems. The
first approach is a novel iterative re-weighting algorithm (IRWA), which
iteratively minimizes quadratic models of relaxed subproblems while
automatically updating a relaxation vector. The second approach is based on
alternating direction augmented Lagrangian (ADAL) technology applied to our
setting. The main computational costs of each algorithm are the repeated
minimizations of convex quadratic functions which can be performed matrix-free.
We prove that both algorithms are globally convergent under loose assumptions,
and that each requires at most $O(1/\varepsilon^2)$ iterations to reach
$\varepsilon$-optimality of the objective function.
  Numerical experiments exhibit the ability of both algorithms to efficiently
find inexact solutions. Moreover, in certain cases, IRWA is shown to be more
reliable than ADAL.


title:
Lower bounds on the performance of polynomial-time algorithms for sparse
  linear regression

abstract:
  Under a standard assumption in complexity theory (NP not in P/poly), we
demonstrate a gap between the minimax prediction risk for sparse linear
regression that can be achieved by polynomial-time algorithms, and that
achieved by optimal algorithms. In particular, when the design matrix is
ill-conditioned, the minimax prediction loss achievable by polynomial-time
algorithms can be substantially greater than that of an optimal algorithm. This
result is the first known gap between polynomial and optimal algorithms for
sparse linear regression, and does not depend on conjectures in average-case
complexity.


title:
Appraisal of Social Learning Potentials in Some Trending Mobile
  Computing Applications

abstract:
  New Mobile technologies have created a new social dimension where individuals
can develop increased levels of their social awareness by keeping in touch with
old friends, making new friends, dispense new data or product, and getting
information in many more aspects of everyday lives, making one to become more
knowledgeable which is very beneficial especially for students. Social
networks, in particular enable users to share and discuss common interests and
provide infrastructures for integrating various user experiences: synchronous
and asynchronous communication, game-playing, sharing links and files. The
trend of using social networks and social media to deliver and exchange
knowledge could bring a new era of social learning in which learners make use
all four language skills of reading, writing, listening and speaking. Unlike a
traditional e-leaning paradigm with pre-defined curriculum and standard
textbooks, social knowledge could be aggregated on demand, just in time, and in
context of engaging challenges from social networks, making learning more
exciting, social and, game-like experience. Social learning environment engages
the learners in discussion, collaboration, exploration, production, discovery
and creation. Schools should harness this to develop group collaboration skills
and even project based learning activities that span subjects and grade levels.
This paper focuses on technologies and avenues of using mobile phones in
supporting open social learning among undergraduate students in Nigeria.


title: Degrees of Freedom and Model Search

abstract:
  Degrees of freedom is a fundamental concept in statistical modeling, as it
provides a quantitative description of the amount of fitting performed by a
given procedure. But, despite this fundamental role in statistics, its behavior
not completely well-understood, even in some fairly basic settings. For
example, it may seem intuitively obvious that the best subset selection fit
with subset size k has degrees of freedom larger than k, but this has not been
formally verified, nor has is been precisely studied. In large part, the
current paper is motivated by this particular problem, and we derive an exact
expression for the degrees of freedom of best subset selection in a restricted
setting (orthogonal predictor variables). Along the way, we develop a concept
that we name "search degrees of freedom"; intuitively, for adaptive regression
procedures that perform variable selection, this is a part of the (total)
degrees of freedom that we attribute entirely to the model selection mechanism.
Finally, we establish a modest extension of Stein's formula to cover
discontinuous functions, and discuss its potential role in degrees of freedom
and search degrees of freedom calculations.


title: A Hybrid Loss for Multiclass and Structured Prediction

abstract:
  We propose a novel hybrid loss for multiclass and structured prediction
problems that is a convex combination of a log loss for Conditional Random
Fields (CRFs) and a multiclass hinge loss for Support Vector Machines (SVMs).
We provide a sufficient condition for when the hybrid loss is Fisher consistent
for classification. This condition depends on a measure of dominance between
labels--specifically, the gap between the probabilities of the best label and
the second best label. We also prove Fisher consistency is necessary for
parametric consistency when learning models such as CRFs. We demonstrate
empirically that the hybrid loss typically performs least as well as--and often
better than--both of its constituent losses on a variety of tasks, such as
human action recognition. In doing so we also provide an empirical comparison
of the efficacy of probabilistic and margin based approaches to multiclass and
structured prediction.


title:
Amortised Resource Analysis and Typed Polynomial Interpretations
  (extended version)

abstract:
  We introduce a novel resource analysis for typed term rewrite systems based
on a potential-based type system. This type system gives rise to polynomial
bounds on the innermost runtime complexity. We relate the thus obtained
amortised resource analysis to polynomial interpretations and obtain the
perhaps surprising result that whenever a rewrite system R can be well-typed,
then there exists a polynomial interpretation that orients R. For this we
adequately adapt the standard notion of polynomial interpretations to the typed
setting.


title:
Theoretical Limits of Photovoltaics Efficiency and Possible Improvements
  by Intuitive Approaches Learned from Photosynthesis and Quantum Coherence

abstract:
  In this review, we present and discussed the main trends in photovoltaics
with emphasize on the conversion efficiency limits. The theoretical limits of
various photovoltaics device concepts are presented and analyzed using a
flexible detailed balance model where more discussion emphasize is toward the
losses. Also, few lessons from nature and other fields to improve the
conversion efficiency in photovoltaics are presented and discussed as well.
From photosynthesis, the perfect exciton transport in photosynthetic complexes
can be utilized for PVs. Also, we present some lessons learned from other
fields like recombination suppression by quantum coherence. For example, the
coupling in photosynthetic reaction centers is used to suppress recombination
in photocells.


title: Correlation structure of the corrector in stochastic homogenization

abstract:
  Recently, the quantification of errors in the stochastic homogenization of
divergence-form operators has witnessed important progress. Our aim now is to
go beyond error bounds, and give precise descriptions of the effect of the
randomness, in the large-scale limit. This paper is a first step in this
direction. Our main result is to identify the correlation structure of the
corrector, in dimension $3$ and higher. This correlation structure is similar
to, but different from that of a Gaussian free field.


title: Survey on software testing techniques in cloud computing

abstract:
  Cloud computing is the next stage of the internet evolution. It relies on
sharing of resources to achieve coherence on a network. It is emerged as new
computing standard that impacts several different research fields, including
software testing. There are various software techniques used for testing
application. It not only changes the way of obtaining computing resources but
also changes the way of managing and delivering computing services,
technologies and solutions, meanwhile it causes new issues, challenges and
needs in software testing. Software testing in cloud can reduce the need for
hardware and software resources and offer a flexible and efficient alternative
to the traditional software testing process. This paper provides an overview
regarding trends, oppurtunities, challenges, issues, and needs in cloud testing
and cloud based application.


title:
Inverse Spectral Problems for Schr\"odinger-Type Operators with
  Distributional Matrix-Valued Potentials

abstract:
  The principal purpose of this note is to provide a reconstruction procedure
for distributional matrix-valued potential coefficients of Schr\"odinger-type
operators on a half-line from the underlying Weyl-Titchmarsh function.


title:
Modeling the nanoscale linear response of superconducting thin films
  measured by a scanning probe microwave microscope

abstract:
  A localized and strong RF magnetic field, created by a magnetic write head,
is used to examine the linear electrodynamic properties of a Nb superconducting
film. The complex reflection coefficient of the write head held in close
proximity to the films is measured as a function of sample temperature. A model
combining a magnetic circuit (magnetic write head inductively coupled to the
sample) and transmission line (microwave circuit) is given to interpret the
linear response measurement. Additionally, this reflection linear response
measurement can be used to determine the temperature dependence of the magnetic
penetration depth on a variety of superconductors.


title: Designing stimulus-sensitive colloidal walkers

abstract:
  Colloidal particles with DNA `legs' that can bind reversibly to receptors on
a surface can be made to `walk' if there is a gradient in receptor
concentration. We use a combination of theory and Monte Carlo simulations to
explore how controllable parameters, e.g. coating density and binding strength,
affect the dynamics of such colloids. We find that competition between
thermodynamic and kinetic trends imply that there is an optimal value for both,
the binding strength and the number of `legs' for which transport is fastest.
Using available thermodynamic data on DNA binding, we indicate how
directionally reversible, temperature-controlled transport of colloidal walkers
can be achieved. In particular, the present results should make it possible to
design a chromatographic technique that can be used to separate colloids with
different DNA functionalization.


title: Vector valued hermitian and quaternionic modular forms

abstract:
  Extending the method of the paper [FS3] we prove three structure theorems for
vector valued modular forms, where two correspond to 4-dimensional cases (two
hermitian modular groups, one belonging to the field of Eisenstein numbers, the
other to the field of Gaussian numbers.) and one to a 6-dimensional case (a
quaternionic modular group).


title: Quantum theory of the spaser-based nanolaser

abstract:
  We present a quantum theory of a spaser-based nanolaser, under the bad-cavity
approximation. We find first- and second-order correlation functions $g^{(1)}
(\tau)$ and $g^{(2)}(\tau)$ below and above the generation threshold, and
obtain the average number of plasmons in the cavity. The latter is shown to be
of the order of unity near the generation threshold, where the spectral line
narrows considerably. In this case the coherence is preserved in a state of
active atoms in contradiction to the good-cavity lasers, where the coherence is
preserved in a state of photons. The damped oscillations in $g^{(2)}(\tau)$
above the generation threshold indicate the unusual character of amplitude
fluctuations of polarization and population, which become interconnected in
this case. Obtained results allow to understand the fundamental principles of
operation of nanolasers.


title: MCA Learning Algorithm for Incident Signals Estimation: A Review

abstract:
  Recently there has been many works on adaptive subspace filtering in the
signal processing literature. Most of them are concerned with tracking the
signal subspace spanned by the eigenvectors corresponding to the eigenvalues of
the covariance matrix of the signal plus noise data. Minor Component Analysis
(MCA) is important tool and has a wide application in telecommunications,
antenna array processing, statistical parametric estimation, etc. As an
important feature extraction technique, MCA is a statistical method of
extracting the eigenvector associated with the smallest eigenvalue of the
covariance matrix. In this paper, we will present a MCA learning algorithm to
extract minor component from input signals, and the learning rate parameter is
also presented, which ensures fast convergence of the algorithm, because it has
direct effect on the convergence of the weight vector and the error level is
affected by this value. MCA is performed to determine the estimated DOA.
Simulation results will be furnished to illustrate the theoretical results
achieved.


title: An EMUSIM Technique and its Components in Cloud Computing- A Review

abstract:
  Recent efforts to design and develop Cloud technologies focus on defining
novel methods, policies and mechanisms for efficiently managing Cloud
infrastructures. One key challenge potential Cloud customers have before
renting resources is to know how their services will behave in a set of
resources and the costs involved when growing and shrinking their resource
pool. Most of the studies in this area rely on simulation-based experiments,
which consider simplified modeling of applications and computing environment.
In order to better predict service's behavior on Cloud platforms, an integrated
architecture that is based on both simulation and emulation. The proposed
architecture, named EMUSIM, automatically extracts information from application
behavior via emulation and then uses this information to generate the
corresponding simulation model. This paper presents brief overview of the
EMUSIM technique and its components. The work in this paper focuses on
architecture and operation details of Automated Emulation Framework (AEF),
QAppDeployer and proposes Cloud Sim Application for Simulation techniques.


title:
Nonlinear relativistic corrections to cosmological distances, redshift
  and gravitational lensing magnification. II - Derivation

abstract:
  We present a derivation of the cosmological distance-redshift relation up to
second order in perturbation theory. In addition, we find the observed redshift
and the lensing magnification to second order. We do not require that the
density contrast is small, we only that the metric potentials and peculiar
velocities are small. Thus our results apply into the nonlinear regime, and can
be used for most dark energy models. We present the results in a form which can
be readily computed in an N-body simulation. This paper accompanies
arXiv:1207.2109, where the key results are summarised in a physically
transparent form and applications are discussed.


title:
One-loop quantum correction to the mass of the supersymmetric Kink in (1
  + 1) dimensions using the exact spectra and the phase shifts

abstract:
  We compute the quantum correction to the mass of the kink at the one-loop
level in (1+1) dimensions with minimal supersymmetry. In this paper we discuss
this issue from the Casimir energy perspective using phase shifts along with
the mode number cut-off regularization method. Exact solutions and in
particular an exact expression for the phase shifts are already available for
the bosonic sector. In this paper we derive analogous exact results for the
fermionic sector. Most importantly, we derive a unique and exact expression for
the fermionic phase shift, using the exact solutions for the continuum parts of
the spectrum and a prescription we had introduced earlier. We use the strong
and weak forms of the Levinson theorem merely for checking the consistency of
our phase shifts and results, and not as an integral part of our procedure.
Moreover, we find that the properties of the fermionic spectrum, including
bound and continuum states, are independent of the magnitude of the Yukawa
coupling constant $\lambda$, and that the dynamical mass generation occurs at
the tree level. These are all due to SUSY and are in sharp contrast to
analogous models without SUSY, such as the Jackiw-Rebbi model, where $\lambda$
is a free parameter. We use the renormalized perturbation theory and find the
counterterm which is consistent with supersymmetry. We show that this procedure
is sufficient to obtain the accepted value for the one-loop quantum correction
to the mass of the SUSY kink which is $-\frac{m}{2\pi}$.


title: Current states of a doubly connected superconductor with film bridges

abstract:
  Transport current distribution in the branches of a doubly connected
superconductor in the form of a thin-film high-inductance circuit with two
bridges of different width in the branches was measured. For the transport
current lower than the sum of critical currents of the bridges, its
distribution was found to exhibit an anomalous behavior upon reaching the
critical current of one of the bridges. For a fixed value of the transport
current through the circuit higher than the sum of critical currents of the
bridges, low-frequency continuous harmonic voltage self-oscillations together
with synchronous current self-oscillations appeared in the circuit branches.
The mechanism responsible for the onset of the self-oscillations is discussed.


title: Integer Set Compression and Statistical Modeling

abstract:
  Compression of integer sets and sequences has been extensively studied for
settings where elements follow a uniform probability distribution. In addition,
methods exist that exploit clustering of elements in order to achieve higher
compression performance. In this work, we address the case where enumeration of
elements may be arbitrary or random, but where statistics is kept in order to
estimate probabilities of elements. We present a recursive subset-size encoding
method that is able to benefit from statistics, explore the effects of
permuting the enumeration order based on element probabilities, and discuss
general properties and possibilities for this class of compression problem.


title:
The Cross-Quantilogram: Measuring Quantile Dependence and Testing
  Directional Predictability between Time Series

abstract:
  This paper proposes the cross-quantilogram to measure the quantile dependence
between two time series. We apply it to test the hypothesis that one time
series has no directional predictability to another time series. We establish
the asymptotic distribution of the cross quantilogram and the corresponding
test statistic. The limiting distributions depend on nuisance parameters. To
construct consistent confidence intervals we employ the stationary bootstrap
procedure; we show the consistency of this bootstrap. Also, we consider the
self-normalized approach, which is shown to be asymptotically pivotal under the
null hypothesis of no predictability. We provide simulation studies and two
empirical applications. First, we use the cross-quantilogram to detect
predictability from stock variance to excess stock return. Compared to existing
tools used in the literature of stock return predictability, our method
provides a more complete relationship between a predictor and stock return.
Second, we investigate the systemic risk of individual financial institutions,
such as JP Morgan Chase, Goldman Sachs and AIG. This article has supplementary
materials online.


title:
A sufficient condition for nonsingularity of two-dimensional finite-gap
  Schr\"{o}dinger operator discretization of a quad graph

abstract:
  We construct a two-dimensional Schr\"{o}dinger operator on a quad-graph using
finite-gap approach. A guad-graph is a planar graph with only 4-sided faces. We
define the non-singularity of the operator as the positivity of all of his
coefficients. At last, we prove some sufficient conditions of such positivity
on the spectral curve and the graph.