title:
The exterior field of slowly and rapidly rotating neutron stars:
  Rehabilitating spacetime metrics involving hyperextreme objects

abstract:
  The 4-parameter exact solution presumably describing the exterior
gravitational field of a generic neutron star is presented in a concise
explicit form defined by only three potentials. In the equatorial plane, the
metric functions of the solution are found to be given by particularly simple
expressions that make them very suitable for the use in concrete applications.
Following Pappas and Apostolatos, we perform a comparison of the multipole
structure of the solution with the multipole moments of the known physically
realistic Berti-Stergioulas numerical models of neutron stars to argue that the
hyperextreme sectors of the solution are not less (but possibly even more)
important for the correct description of rapidly rotating neutron stars than
the subextreme sector involving exclusively the black-hole constituents. We
have also worked out in explicit form an exact analog of the well-known
Hartle-Thorne approximate metric.


title:
An Inequality of Simpson's type Via Quasi-Convex Mappings with
  Applications

abstract:
  In this paper, an inequality of Simpson type for quasi-convex mappings are
proved. The constant in the classical Simpson's inequality is improved.
Furthermore, the obtained bounds can be (much) better than some recently
obtained bounds. Application to Simpson's quadrature rule is also given.


title:
The mutable nature of particle-core excitations with spin in the
  one-valence-proton nucleus 133Sb

abstract:
  The gamma-ray decay of excited states of the one-valence-proton nucleus 133Sb
has been studied using cold-neutron induced fission of 235U and 241Pu targets,
during the EXILL campaign at the ILL reactor in Grenoble. By using a highly
efficient HPGe array, coincidences between gamma-rays prompt with the fission
event and those delayed up to several tens of microseconds were investigated,
allowing to observe, for the first time, high-spin excited states above the
16.6 micros isomer. Lifetimes analysis, performed by fast-timing techniques
with LaBr3(Ce) scintillators, reveals a difference of almost two orders of
magnitude in B(M1) strength for transitions between positive-parity medium-spin
yrast states. The data are interpreted by a newly developed microscopic model
which takes into account couplings between core excitations (both collective
and non-collective) of the doubly magic nucleus 132Sn and the valence proton,
using the Skyrme effective interaction in a consistent way. The results point
to a fast change in the nature of particle-core excitations with increasing
spin.


title:
Fast spatial Gaussian process maximum likelihood estimation via
  skeletonization factorizations

abstract:
  Maximum likelihood estimation for parameter-fitting given observations from a
Gaussian process in space is a computationally-demanding task that restricts
the use of such methods to moderately-sized datasets. We present a framework
for unstructured observations in two spatial dimensions that allows for
evaluation of the log-likelihood and its gradient (i.e., the score equations)
in $\tilde O(n^{3/2})$ time under certain assumptions, where $n$ is the number
of observations. Our method relies on the skeletonization procedure described
by Martinsson & Rokhlin in the form of the recursive skeletonization
factorization of Ho & Ying. Combining this with an adaptation of the matrix
peeling algorithm of Lin et al. for constructing $\mathcal{H}$-matrix
representations of black-box operators, we obtain a framework that can be used
in the context of any first-order optimization routine to quickly and
accurately compute maximum-likelihood estimates.


title:
Covariant variational approach to Yang-Mills Theory: effective potential
  of the Polyakov loop

abstract:
  We compute the effective action of the Polyakov loop in SU(2) and SU(3)
Yang-Mills theory using a previously developed covariant variational approach.
The formalism is extended to background gauge and it is shown how to relate the
low order Green's functions to the ones in Landau gauge studied earlier. The
renormalization procedure is discussed. The self-consistent effective action is
derived and evaluated using the numerical solution of the gap equation. We find
a clear signal for a deconfinement phase transition at finite temperatures,
which is second order for SU(2) and first order for SU(3). The critical
temperatures obtained are in reasonable agreement with high precision lattice
data.


title: CVC Verilog Compiler -- Fast Complex Language Compilers Can be Simple

abstract:
  This paper explains how to develop Verilog hardware description language
(HDL) optimized flow graph compiled simulators. It is claimed that the methods
and algorithms described here can be applied in the development of flow graph
compilers for other complex computer languages. The method uses the von Neumann
computer architecture (MRAM model) as the best abstract model of computation
and uses comparison and selection of alternative machine code sequences to
utilize modern processor low level parallelism. By using the anti formalist
method described here, the fastest available full IEEE 1364 2005 Verilog HDL
standard simulators has been developed. The compiler only required 95,000 lines
of C code and two developers. This paper explains how such a compiled simulator
validates the anti-formalism computer science methodology best expressed by
Peter Naur's datalogy and provides specific guidelines for applying the method.
Development history from a slow interpreter into a fast flow graph based
machine code compiled simulator is described. The failure of initial efforts
that tried to convert a full 1364 compliant interpreter into interpreted
execution of possibly auto generated virtual machines is discussed. The
argument that fast Verilog simulation requires detail removing abstraction is
shown to be incorrect. Reasons parallel GPU Verilog simulation has not
succeeded are given.


title: Dirac Fermions in Antiferromagnetic Semimetal

abstract:
  The analogues of elementary particles have been extensively searched for in
condensed matter systems because of both scientific interests and technological
applications. Recently massless Dirac fermions were found to emerge as low
energy excitations in the materials named Dirac semimetals. All the currently
known Dirac semimetals are nonmagnetic with both time-reversal symmetry
$\mathcal{T}$ and inversion symmetry $\mathcal{P}$. Here we show that Dirac
fermions can exist in one type of antiferromagnetic systems, where
$\mathcal{T}$ and $\mathcal{P}$ are broken but their combination $\mathcal{PT}$
is respected. We propose orthorhombic antiferromagnet CuMnAs as a candidate,
analyze the robustness of the Dirac points with symmetry protections, and
demonstrate its distinctive bulk dispersions as well as the corresponding
surface states by \emph{ab initio} calculations. Our results give a new route
towards the realization of Dirac materials, and provide a possible platform to
study the interplay of Dirac fermion physics and magnetism.


title:
Comparison of the sensitivity to systematic errors between non-adiabatic
  non-Abelian geometric gates and their dynamical counterparts

abstract:
  We investigate the effects of systematic errors of the control parameters on
single-qubit gates based on non-adiabatic non-Abelian geometric holonomies and
those relying on purely dynamical evolution. It is explicitly shown that the
systematic error in the Rabi frequency of the control fields affects these two
kinds of gates in different ways. In the presence of this systematic error, the
transformation produced by the non-adiabatic non-Abelian geometric gate is not
unitary in the computational space, and the resulting gate infidelity is larger
than that with the dynamical method. Our results provide a theoretical basis
for choosing a suitable method for implementing elementary quantum gates in
physical systems, where the systematic noises are the dominant noise source.


title: Optimal Traffic Aggregation in Multi-RAT Heterogeneous Wireless Networks

abstract:
  Traffic load balancing and radio resource management is key to harness the
dense and increasingly heterogeneous deployment of next generation "$5$G"
wireless infrastructure. Strategies for aggregating user traffic from across
multiple radio access technologies (RATs) and/or access points (APs) would be
crucial in such heterogeneous networks (HetNets), but are not well
investigated. In this paper, we develop a low complexity solution for
maximizing an $\alpha$-optimal network utility leveraging the multi-link
aggregation (simultaneous connectivity to multiple RATs/APs) capability of
users in the network. The network utility maximization formulation has
maximization of sum rate ($\alpha=0$), maximization of minimum rate ($\alpha
\to \infty$), and proportional fair ($\alpha=1$) as its special cases. A closed
form is also developed for the special case where a user aggregates traffic
from at most two APs/RATs, and hence can be applied to practical scenarios like
LTE-WLAN aggregation (LWA) and LTE dual-connectivity solutions. It is shown
that the required objective may also be realized through a decentralized
implementation requiring a series of message exchanges between the users and
network. Using comprehensive system level simulations, it is shown that optimal
leveraging of multi-link aggregation leads to substantial throughput gains over
single RAT/AP selection techniques.


title:
An adaptive configuration interaction approach for strongly correlated
  electrons with tunable accuracy

abstract:
  We introduce a new procedure for iterative selection of determinant spaces
capable of describing highly correlated systems. This adaptive configuration
interaction (ACI) determines an optimal basis by an iterative procedure in
which the determinant space is expanded and coarse grained until self
consistency. Two importance criteria control the selection process and tune the
ACI to a user-defined level of accuracy. The ACI is shown to yield potential
energy curves of N$_2$ with nearly constant errors, and it predicts
singlet-triplet splittings of acenes up to decacene that are in good agreement
with the density matrix renormalization group.


title:
On the widths of Stokes lines in Raman scattering from molecules
  adsorbed at metal surfaces and in molecular conduction junctions

abstract:
  Within a generic model we analyze the Stokes linewidth in surface enhanced
Raman scattering (SERS) from molecules embedded as bridges in molecular
junctions. We identify four main contributions to the off-resonant Stokes
signal and show that under zero voltage bias (a situation pertaining also to
standard SERS experiments) and at low bias junctions only one of these
contributions is pronounced. The linewidth of this component is determined by
the molecular vibrational relaxation rate, which is dominated by interactions
with the essentially bosonic thermal environment when the relevant molecular
electronic energy is far from the metal(s) Fermi energy(ies). It increases when
the molecular electronic level is close to the metal Fermi level so that an
additional vibrational relaxation channel due to electron-hole (eh) excition in
the molecule opens. Other contributions to the Raman signal, of considerably
broader linewidths, can become important at larger junction bias.


title: Dissipative Effect in Long Baseline Neutrino Experiments

abstract:
  The propagation of neutrinos in long baselines experiments may be influenced
by dissipation effects. Using Lindblad Master Equation we evolve neutrinos
taking into account these dissipative effects. The MSW and the dissipative
effects may change the probabilities behavior. In this work, we show and
explain how the behavior of the probabilities can change due to the decoherence
and relaxation effects acting individually with the MSW effect. A new exotic
peak appears in this case and we show the difference between the decoherence
and relaxation effects in the appearance of this peak. We also adapt the usual
approximate expression for survival and appearance probabilities with all
possible decoherence effects. We suppose the baseline of DUNE and show how each
decoherence parameters change the probabilities analyzing the possible
modification using numeric and analytic approach.


title:
Charge state dynamics of the nitrogen vacancy center in diamond under
  1064 nm laser excitation

abstract:
  The photophysics and charge state dynamics of the nitrogen vacancy (NV)
center in diamond has been extensively investigated but is still not fully
understood. In contrast to previous work, we find that NV$^{0}$ converts to
NV$^{-}$ under excitation with low power near-infrared (1064 nm) light,
resulting in $increased$ photoluminescence from the NV$^{-}$ state. We used a
combination of spectral and time-resolved photoluminescence experiments and
rate-equation modeling to conclude that NV$^{0}$ converts to NV$^{-}$ via
absorption of 1064 nm photons from the valence band of diamond. We report fast
quenching and recovery of the photoluminescence from $both$ charge states of
the NV center under low power 1064 nm laser excitation, which has not been
previously observed. We also find, using optically detected magnetic resonance
experiments, that the charge transfer process mediated by the 1064 nm laser is
spin-dependent.


title: Recognizing Car Fluents from Video

abstract:
  Physical fluents, a term originally used by Newton [40], refers to
time-varying object states in dynamic scenes. In this paper, we are interested
in inferring the fluents of vehicles from video. For example, a door (hood,
trunk) is open or closed through various actions, light is blinking to turn.
Recognizing these fluents has broad applications, yet have received scant
attention in the computer vision literature. Car fluent recognition entails a
unified framework for car detection, car part localization and part status
recognition, which is made difficult by large structural and appearance
variations, low resolutions and occlusions. This paper learns a
spatial-temporal And-Or hierarchical model to represent car fluents. The
learning of this model is formulated under the latent structural SVM framework.
Since there are no publicly related dataset, we collect and annotate a car
fluent dataset consisting of car videos with diverse fluents. In experiments,
the proposed method outperforms several highly related baseline methods in
terms of car fluent recognition and car part localization.


title: Strong Spin Hall Effect in the Antiferromagnet PtMn

abstract:
  Effectively manipulating magnetism in ferromagnet (FM) thin film
nanostructures with an in-plane current has become feasible since the
determination of a 'giant' spin Hall effect (SHE) in certain heavy metal
(HM)/FM system. Recently, both theoretical and experimental reports indicate
that the non-collinear and collinear metallic antiferromagnet (AF) materials
can have both a large anomalous Hall effect (AHE) and a strong SHE. Here we
report a systematic study of the SHE in PtMn with several PtMn/FM systems. By
using interface engineering to reduce the 'spin memory loss' we obtain a spin
torque efficiency as large as 0.24. This is more than twice the previously
reported spin torque efficiency for PtMn. We also find that the apparent spin
diffusion length in PtMn is surprisingly long (about 2.3nm).


title:
The Diagnostics of the Chemical Reaction Zone at the Detonation of
  Condensed Explosives

abstract:
  The highly-sensitive method is proposed for the real-time diagnostics of the
von Neumann peak at detonation of brisant high explosives. The absence of the
direct link between the pressure and the course of chemical reactions was
shown. For TNT (trinitrotoluene), the influence of the structure of charge on
the kinetics of chemical peak was demonstrated.


title:
A generalized flow for multi-class and binary classification tasks: An
  Azure ML approach

abstract:
  The constant growth in the present day real-world databases pose
computational challenges for a single computer. Cloud-based platforms, on the
other hand, are capable of handling large volumes of information manipulation
tasks, thereby necessitating their use for large real-world data set
computations. This work focuses on creating a novel Generalized Flow within the
cloud-based computing platform: Microsoft Azure Machine Learning Studio (MAMLS)
that accepts multi-class and binary classification data sets alike and
processes them to maximize the overall classification accuracy. First, each
data set is split into training and testing data sets, respectively. Then,
linear and nonlinear classification model parameters are estimated using the
training data set. Data dimensionality reduction is then performed to maximize
classification accuracy. For multi-class data sets, data centric information is
used to further improve overall classification accuracy by reducing the
multi-class classification to a series of hierarchical binary classification
tasks. Finally, the performance of optimized classification model thus achieved
is evaluated and scored on the testing data set. The classification
characteristics of the proposed flow are comparatively evaluated on 3 public
data sets and a local data set with respect to existing state-of-the-art
methods. On the 3 public data sets, the proposed flow achieves 78-97.5%
classification accuracy. Also, the local data set, created using the
information regarding presence of Diabetic Retinopathy lesions in fundus
images, results in 85.3-95.7% average classification accuracy, which is higher
than the existing methods. Thus, the proposed generalized flow can be useful
for a wide range of application-oriented "big data sets".


title:
Classification of Large-Scale Fundus Image Data Sets: A Cloud-Computing
  Framework

abstract:
  Large medical image data sets with high dimensionality require substantial
amount of computation time for data creation and data processing. This paper
presents a novel generalized method that finds optimal image-based feature sets
that reduce computational time complexity while maximizing overall
classification accuracy for detection of diabetic retinopathy (DR). First,
region-based and pixel-based features are extracted from fundus images for
classification of DR lesions and vessel-like structures. Next, feature ranking
strategies are used to distinguish the optimal classification feature sets. DR
lesion and vessel classification accuracies are computed using the boosted
decision tree and decision forest classifiers in the Microsoft Azure Machine
Learning Studio platform, respectively. For images from the DIARETDB1 data set,
40 of its highest-ranked features are used to classify four DR lesion types
with an average classification accuracy of 90.1% in 792 seconds. Also, for
classification of red lesion regions and hemorrhages from microaneurysms,
accuracies of 85% and 72% are observed, respectively. For images from STARE
data set, 40 high-ranked features can classify minor blood vessels with an
accuracy of 83.5% in 326 seconds. Such cloud-based fundus image analysis
systems can significantly enhance the borderline classification performances in
automated screening systems.


title:
Detecting Black-Hole Binary Clustering via the Second-Generation
  Gravitational-Wave Detectors

abstract:
  The first discovery of the gravitational wave (GW) event, GW150914, suggests
a higher merger rate of black-hole (BH) binaries. If this is true, a number of
BH binaries will be observed via the second-generation GW detectors, and the
statistical properties of the observed BH binaries can be scrutinized. A naive
but important question to ask is whether the spatial distribution of BH
binaries faithfully traces the matter inhomogeneities in the Universe or not.
Although the BH binaries are thought to be formed inside the galaxies in most
of the scenarios, there is no observational evidence to confirm such a
hypothesis. Here, we estimate how well the second-generation GW detectors can
statistically confirm the BH binaries to be a tracer of the large-scale
structure by looking at the auto- and cross-correlation of BH binaries with
photometric galaxies and weak lensing measurements, finding that, with a 3 year
observation, the $>3\sigma$ detection of non-zero signal is possible if the BH
merger rate today is $\dot{n}_0\gtrsim100$ Gpc$^{-3}$yr$^{-1}$ and the
clustering bias of BH binaries is $b_{\rm BH,0}\gtrsim1.5$.


title: Shortest (A+B)-path packing via hafnian

abstract:
  Bj\"orklund and Husfeldt developed a randomized polynomial time algorithm to
solve the shortest two disjoint paths problem. Their algorithm is based on
computation of permanents modulo 4 and the isolation lemma. In this paper, we
consider the following generalization of the shortest two disjoint paths
problem, and develop a similar algebraic algorithm. The shortest perfect
$(A+B)$-path packing problem is: given an undirected graph $G$ and two disjoint
node subsets $A,B$ with even cardinalities, find a shortest $|A|/2+|B|/2$
disjoint paths whose ends are both in $A$ or both in $B$. Besides its
NP-hardness, we prove that this problem can be solved in randomized polynomial
time if $|A|+|B|$ is fixed. Our algorithm basically follows the framework of
Bj\"orklund and Husfeldt but uses a new technique: computation of hafnian
modulo $2^k$ combined with Gallai's reduction from $T$-paths to matchings. We
also generalize our technique for solving other path packing problems, and
discuss its limitation.


title: Homological mirror symmetry of elementary birational cobordisms

abstract:
  The derived category of coherent sheaves $\mathcal{T}_B$ associated to a
birational cobordism which is either a weighted projective space, a stacky
Atiyah flip, or a stacky blow-up of a point has a conjectural mirror
Fukaya-Seidel category $\mathcal{T}_A$. The potential $W$ defining
$\mathcal{T}_{A}$ has base $\mathbb{C}^*$ and exhibits a great deal of
symmetry. This paper investigates the structure of the Fukaya-Seidel category
for the mirror potentials. A proof of homological mirror symmetry
$\mathcal{T}_A \cong \mathcal{T}_B$ for these birational cobordisms is then
given.


title: Contact process with temporal disorder

abstract:
  We investigate the influence of time-varying environmental noise, i.e.,
temporal disorder, on the nonequilibrium phase transition of the contact
process. Combining a real-time renormalization group, scaling theory, and large
scale Monte-Carlo simulations in one and two dimensions, we show that the
temporal disorder gives rise to an exotic critical point. At criticality, the
effective noise amplitude diverges with increasing time scale, and the
probability distribution of the density becomes infinitely broad, even on a
logarithmic scale. Moreover, the average density and survival probability decay
only logarithmically with time. This infinite-noise critical behavior can be
understood as the temporal counterpart of infinite-randomness critical behavior
in spatially disordered systems, but with exchanged roles of space and time. We
also analyze the generality of our results, and we discuss potential
experiments.


title:
Polymerization, the Problem of Access to the Saddle Point Approximation,
  and Thermodynamics

abstract:
  The saddle point approximation to the partition functions is an important way
of deriving the thermodynamical properties of black holes. However, there are
certain black hole models and some mathematically analog mechanical models for
which this method can not be applied directly. This is due to the fact that
their action evaluated on a classical solution is not finite and its first
variation does not vanish for all consistent boundary conditions. These
problems can be dealt with by adding a counter-term to the classical action,
which is a solution of the corresponding Hamilton-Jacobi equation. In this work
however, we seek an alternative solution to this problem via the polymer
quantization which is motivated by the loop quantum gravity.


title: The most symmetric surfaces in the 3-torus

abstract:
  Suppose an orientation preserving action of a finite group $G$ on the closed
surface $\Sigma_g$ of genus $g>1$ extends over the 3-torus $T^3$ for some
embedding $\Sigma_g\subset T^3$. Then $|G|\le 12(g-1)$, and this upper bound
$12(g-1)$ can be achieved for $g=n^2+1, 3n^2+1, 2n^3+1, 4n^3+1, 8n^3+1, n\in
\mathbb{Z}_+$. Those surfaces in $T^3$ realizing the maximum symmetries can be
either unknotted or knotted. Similar problems in non-orientable category is
also discussed.
  Connection with minimal surfaces in $T^3$ is addressed and when the maximum
symmetric surfaces above can be realized by minimal surfaces is identified.


title: Performance Analysis of ARQ-based RF-FSO Links

abstract:
  In this letter, we study the performance of hybrid radio-frequency (RF) and
free-space optical (FSO) links using automatic repeat request (ARQ). We derive
closed-form expressions for the message decoding probabilities, throughput, and
outage probability with different relative coherence times of the RF and FSO
links. We also evaluate the effect of adaptive power allocation between the ARQ
retransmissions on the system performance. The results show that joint
implementation of the RF and FSO links leads to substantial performance
improvement, compared to the cases with only the RF or the FSO link.


title: Do You See What I Mean? Visual Resolution of Linguistic Ambiguities

abstract:
  Understanding language goes hand in hand with the ability to integrate
complex contextual information obtained via perception. In this work, we
present a novel task for grounded language understanding: disambiguating a
sentence given a visual scene which depicts one of the possible interpretations
of that sentence. To this end, we introduce a new multimodal corpus containing
ambiguous sentences, representing a wide range of syntactic, semantic and
discourse ambiguities, coupled with videos that visualize the different
interpretations for each sentence. We address this task by extending a vision
model which determines if a sentence is depicted by a video. We demonstrate how
such a model can be adjusted to recognize different interpretations of the same
underlying sentence, allowing to disambiguate sentences in a unified fashion
across the different ambiguity types.


title:
On the Performance of Millimeter Wave-based RF-FSO Links with HARQ
  Feedback

abstract:
  This paper studies the performance of hybrid radio-frequency (RF) and
free-space optical (FSO) links in the cases with and without hybrid automatic
repeat request (HARQ). Considering millimeter wave (mmwave) characteristics in
the RF link and pointing errors in the FSO link, we derive closed-form
expressions for the message decoding probabilities as well as the throughput
and the outage probability of the RF-FSO setups. We also evaluate the effect of
various parameters such as power amplifiers efficiency, different transmission
techniques in the FSO link, pointing errors in the FSO link as well as
different coherence times/symbol rates of the RF and the FSO links on the
throughput and outage probability. The results show the efficiency of the
RF-FSO links in different conditions. Moreover, the HARQ can effectively
improve the outage probability/energy efficiency, and compensate the effect of
hardware impairments in RF-FSO links.


title: On Fast Bilateral Filtering using Fourier Kernels

abstract:
  It was demonstrated in earlier work that, by approximating its range kernel
using shiftable functions, the non-linear bilateral filter can be computed
using a series of fast convolutions. Previous approaches based on shiftable
approximation have, however, been restricted to Gaussian range kernels. In this
work, we propose a novel approximation that can be applied to any range kernel,
provided it has a pointwise-convergent Fourier series. More specifically, we
propose to approximate the Gaussian range kernel of the bilateral filter using
a Fourier basis, where the coefficients of the basis are obtained by solving a
series of least-squares problems. The coefficients can be efficiently computed
using a recursive form of the QR decomposition. By controlling the cardinality
of the Fourier basis, we can obtain a good tradeoff between the run-time and
the filtering accuracy. In particular, we are able to guarantee sub-pixel
accuracy for the overall filtering, which is not provided by most existing
methods for fast bilateral filtering. We present simulation results to
demonstrate the speed and accuracy of the proposed algorithm.


title:
Diametral strong diameter two property of Banach spaces is stable under
  direct sums with 1-norm

abstract:
  We prove that the diametral strong diameter 2 property of a Banach space
(meaning that, in convex combinations of relatively weakly open subsets of its
unit ball, every point has an "almost diametral" point) is stable under 1-sums,
i.e., the direct sum of two spaces with the diametral strong diameter 2
property equipped with the 1-norm has again this property.


title: Revisiting the texture zero neutrino mass matrices

abstract:
  In the light of refined and large reactor mixing angle $\theta_{13}$, we have
revisited the texture three and two zero neutrino mass matrices in the flavor
basis. For Majorana neutrinos, it has been explicitly shown that all the
texture three zero mass matrices remain ruled out. Further, for both normal and
inverted mass ordering, for the texture two zero neutrino mass matrices one
finds interesting constraints on the Dirac-like CP violating phase $\delta$ and
Majorana phases $\rho$ and $\sigma$.


title: Phase structures of 4D stringy charged black holes in canonical ensemble

abstract:
  We study the thermodynamics and phase structures of the asymptotically flat
dilatonic black holes in 4 dimensions, placed in a cavity {\it a la} York, in
string theory for an arbitrary dilaton coupling. We consider these charged
black systems in canonical ensemble for which the temperature at the wall of
and the charge inside the cavity are fixed. We find that the dilaton coupling
plays the key role in the underlying phase structures. The connection of these
black holes to higher dimensional brane systems via diagonal (double) and/or
direct dimensional reductions indicates that the phase structures of the former
may exhaust all possible ones of the latter, which are more difficult to study,
under conditions of similar settings. Our study also shows that a diagonal
(double) dimensional reduction preserves the underlying phase structure while a
direct dimensional reduction has the potential to change it.


title:
The H-T and P-T phase diagram of the superconducting phase in
  Pd:Bi$_2$Te$_3$

abstract:
  We study the magnetic field vs temperature ($H$--$T$) and pressure vs
temperature ($P$--$T$) phase diagram of the $T_c \approx 5.5$~K superconducting
phase in Pd$_x$Bi$_2$Te$_3$ ($x \approx 1$) using electrical resistivity versus
temperature measurements at various applied magnetic fields ($H$) and magnetic
susceptibility versus temperature measurements at various applied magnetic
fields ($H$) and pressure ($P$). The $H$--$T$ phase diagram has an initial
upward curvature as observed in some unconventional superconductors. The
critical field extrapolated to $T = 0$~K is $H_c (0) \approx 6$--$10$~kOe. The
$T_c$ is suppressed approximately linearly with pressure at a rate $dT_c/dP
\approx -0.28$~K/GPa.


title: A quantum Fredkin gate

abstract:
  Key to realising quantum computers is minimising the resources required to
build logic gates into useful processing circuits. While the salient features
of a quantum computer have been shown in proof-of-principle experiments,
difficulties in scaling quantum systems have made more complex operations
intractable. This is exemplified in the classical Fredkin (controlled-SWAP)
gate for which, despite theoretical proposals, no quantum analogue has been
realised. By adding control to the SWAP unitary, we use photonic qubit logic to
demonstrate the first quantum Fredkin gate, which promises many applications in
quantum information and measurement. We implement example algorithms and
generate the highest-fidelity three-photon GHZ states to-date. The technique we
use allows one to add a control operation to a black-box unitary, something
impossible in the standard circuit model. Our experiment represents the first
use of this technique to control a two-qubit operation and paves the way for
larger controlled circuits to be realised efficiently.


title: Will quantum cosmology resurrect chaotic inflation model?

abstract:
  The single field chaotic inflation model with a monomial power greater than
one seems to be ruled out by the recent Planck and WMAP CMB data while
Starobinsky model with a higher curvature term seems to be a viable model.
Higher curvature terms being originated from quantum fluctuations, we revisit
the quantum cosmology of the Wheeler-DeWitt equation for the chaotic inflation
model. The semiclassical cosmology emerges from quantum cosmology with
fluctuations of spacetimes and matter when the wave function is peaked around
the semiclassical trajectory with quantum corrections a la the de Broglie-Bohm
pilot theory.


title: Convergence of Adaptive Biasing Potential methods for diffusions

abstract:
  We prove the consistency of an adaptive importance sampling strategy based on
biasing the potential energy function $V$ of a diffusion process
$dX_t^0=-\nabla V(X_t^0)dt+dW_t$; for the sake of simplicity, periodic boundary
conditions are assumed, so that $X_t^0$ lives on the flat $d$-dimensional
torus. The goal is to sample its invariant distribution
$\mu=Z^{-1}\exp\bigl(-V(x)\bigr)\,dx$. The bias $V_t-V$, where $V_t$ is the new
(random and time-dependent) potential function, acts only on some coordinates
of the system, and is designed to flatten the corresponding empirical
occupation measure of the diffusion $X$ in the large time regime.
  The diffusion process writes $dX_t=-\nabla V_t(X_t)dt+dW_t$, where the bias
$V_t-V$ is function of the key quantity $\overline{\mu}_t$: a probability
occupation measure which depends on the past of the process, {\it i.e.} on
$(X_s)_{s\in [0,t]}$. We are thus dealing with a self-interacting diffusion.
  In this note, we prove that when $t$ goes to infinity, $\overline{\mu}_t$
almost surely converges to $\mu$. Moreover, the approach is justified by the
convergence of the bias to a limit which has an intepretation in terms of a
free energy.
  The main argument is a change of variables, which formally validates the
consistency of the approach. The convergence is then rigorously proven adapting
the ODE method from stochastic approximation.


title:
Online shopping behavior study based on multi-granularity opinion
  mining: China vs. America

abstract:
  With the development of e-commerce, many products are now being sold
worldwide, and manufacturers are eager to obtain a better understanding of
customer behavior in various regions. To achieve this goal, most previous
efforts have focused mainly on questionnaires, which are time-consuming and
costly. The tremendous volume of product reviews on e-commerce websites has
seen a new trend emerge, whereby manufacturers attempt to understand user
preferences by analyzing online reviews. Following this trend, this paper
addresses the problem of studying customer behavior by exploiting recently
developed opinion mining techniques. This work is novel for three reasons.
First, questionnaire-based investigation is automatically enabled by employing
algorithms for template-based question generation and opinion mining-based
answer extraction. Using this system, manufacturers are able to obtain reports
of customer behavior featuring a much larger sample size, more direct
information, a higher degree of automation, and a lower cost. Second,
international customer behavior study is made easier by integrating tools for
multilingual opinion mining. Third, this is the first time an automatic
questionnaire investigation has been conducted to compare customer behavior in
China and America, where product reviews are written and read in Chinese and
English, respectively. Our study on digital cameras, smartphones, and tablet
computers yields three findings. First, Chinese customers follow the Doctrine
of the Mean, and often use euphemistic expressions, while American customers
express their opinions more directly. Second, Chinese customers care more about
general feelings, while American customers pay more attention to product
details. Third, Chinese customers focus on external features, while American
customers care more about the internal features of products.


title:
CVD nanodiamonds with non-blinking, near transform-limited linewidths
  emitters

abstract:
  Near transform-limited single photon sources are required for perfect photon
indistinguishability in quantum networks. Having such sources in nanodiamonds
is particularly important since it can enable engineering hybrid quantum
photonic systems. In this letter, we report the generation of optically stable,
nearly transform-limited single silicon vacancy emitters in nanodiamonds. Lines
as narrow as 325 MHz are reported, which is comparable to the lifetime limited
linewidth. Moreover, the emitters exhibit minimal spectrum diffusion and
absolute photostability, even if pumped well above saturation. Our results
suggest that nanodiamonds can host color centers with supreme properties
suitable for hybrid photonic devices and quantum information.


title:
Measuring Book Impact Based on the Multi-granularity Online Review
  Mining

abstract:
  As with articles and journals, the customary methods for measuring books'
academic impact mainly involve citations, which is easy but limited to
interrogating traditional citation databases and scholarly book reviews,
Researchers have attempted to use other metrics, such as Google Books,
libcitation, and publisher prestige. However, these approaches lack
content-level information and cannot determine the citation intentions of
users. Meanwhile, the abundant online review resources concerning academic
books can be used to mine deeper information and content utilizing altmetric
perspectives. In this study, we measure the impacts of academic books by
multi-granularity mining online reviews, and we identify factors that affect a
book's impact. First, online reviews of a sample of academic books on Amazon.cn
are crawled and processed. Then, multi-granularity review mining is conducted
to identify review sentiment polarities and aspects' sentiment values. Lastly,
the numbers of positive reviews and negative reviews, aspect sentiment values,
star values, and information regarding helpfulness are integrated via the
entropy method, and lead to the calculation of the final book impact scores.
The results of a correlation analysis of book impact scores obtained via our
method versus traditional book citations show that, although there are
substantial differences between subject areas, online book reviews tend to
reflect the academic impact. Thus, we infer that online reviews represent a
promising source for mining book impact within the altmetric perspective and at
the multi-granularity content level. Moreover, our proposed method might also
be a means by which to measure other books besides academic publications.


title:
Learning Hough Regression Models via Bridge Partial Least Squares for
  Object Detection

abstract:
  Popular Hough Transform-based object detection approaches usually construct
an appearance codebook by clustering local image features. However, how to
choose appropriate values for the parameters used in the clustering step
remains an open problem. Moreover, some popular histogram features extracted
from overlapping image blocks may cause a high degree of redundancy and
multicollinearity. In this paper, we propose a novel Hough Transform-based
object detection approach. First, to address the above issues, we exploit a
Bridge Partial Least Squares (BPLS) technique to establish context-encoded
Hough Regression Models (HRMs), which are linear regression models that cast
probabilistic Hough votes to predict object locations. BPLS is an efficient
variant of Partial Least Squares (PLS). PLS-based regression techniques
(including BPLS) can reduce the redundancy and eliminate the multicollinearity
of a feature set. And the appropriate value of the only parameter used in PLS
(i.e., the number of latent components) can be determined by using a
cross-validation procedure. Second, to efficiently handle object scale changes,
we propose a novel multi-scale voting scheme. In this scheme, multiple Hough
images corresponding to multiple object scales can be obtained simultaneously.
Third, an object in a test image may correspond to multiple true and false
positive hypotheses at different scales. Based on the proposed multi-scale
voting scheme, a principled strategy is proposed to fuse hypotheses to reduce
false positives by evaluating normalized pointwise mutual information between
hypotheses. In the experiments, we also compare the proposed HRM approach with
its several variants to evaluate the influences of its components on its
performance. Experimental results show that the proposed HRM approach has
achieved desirable performances on popular benchmark datasets.


title: First Principles Study of SnO Under High Pressure

abstract:
  This article reports the study of SnO by using the first-principles
pseudopotential plane-wave method within the generalized gradient approximation
(GGA). We have calculated the structural, elastic, electronic and optical of
SnO under high pressure. The elastic properties such as the elastic constants
Cij bulk modulus, shear modulus, Young modulus, anisotropic factor, Pugh ratio,
Poisson ratio are calculated and analyzed. Mechanical stability of SnO at all
pressure are confirmed by using Born stability criteria in terms of elastic
constants and are associated with ductile behaviour based on G/B ratios. It is
also found that SnO exhibits very high anisotropy. The energy band structure
and density of states are also calculated and analyzed. The results show the
semiconducting and metallic properties at 0 (zero) and high pressure,
respectively. Furthermore, the optical properties such as dielectric function,
refractive index, photoconductivity, absorption coefficients, loss function and
reflectivity are also calculated. All the results are compared with those of
the SnO where available but most of the results at high pressure are not
compared due to unavailability of the results.


title: A Decentralized Second-Order Method for Dynamic Optimization

abstract:
  This paper considers decentralized dynamic optimization problems where nodes
of a network try to minimize a sequence of time-varying objective functions in
a real-time scheme. At each time slot, nodes have access to different summands
of an instantaneous global objective function and they are allowed to exchange
information only with their neighbors. This paper develops the application of
the Exact Second-Order Method (ESOM) to solve the dynamic optimization problem
in a decentralized manner. The proposed dynamic ESOM algorithm operates by
primal descending and dual ascending on a quadratic approximation of an
augmented Lagrangian of the instantaneous consensus optimization problem. The
convergence analysis of dynamic ESOM indicates that a Lyapunov function of the
sequence of primal and dual errors converges linearly to an error bound when
the local functions are strongly convex and have Lipschitz continuous
gradients. Numerical results demonstrate the claim that the sequence of
iterates generated by the proposed method is able to track the sequence of
optimal arguments.


title: Blind signal separation and identification of mixtures of images

abstract:
  In this paper, a fresh procedure to handle image mixtures by means of blind
signal separation relying on a combination of second order and higher order
statistics techniques are introduced. The problem of blind signal separation is
reassigned to the wavelet domain. The key idea behind this method is that the
image mixture can be decomposed into the sum of uncorrelated and/or independent
sub-bands using wavelet transform. Initially, the observed image is
pre-whitened in the space domain. Afterwards, an initial separation matrix is
estimated from the second order statistics de-correlation model in the wavelet
domain. Later, this matrix will be used as an initial separation matrix for the
higher order statistics stage in order to find the best separation matrix. The
suggested algorithm was tested using natural images.Experiments have confirmed
that the use of the proposed process provides promising outcomes in identifying
an image from noisy mixtures of images.


title:
Supernovae and their host galaxies - IV. The distribution of supernovae
  relative to spiral arms

abstract:
  Using a sample of 215 supernovae (SNe), we analyze their positions relative
to the spiral arms of their host galaxies, distinguishing grand-design (GD)
spirals from non-GD (NGD) galaxies. We find that: (1) in GD galaxies, an offset
exists between the positions of Ia and core-collapse (CC) SNe relative to the
peaks of arms, while in NGD galaxies the positions show no such shifts; (2) in
GD galaxies, the positions of CC SNe relative to the peaks of arms are
correlated with the radial distance from the galaxy nucleus. Inside (outside)
the corotation radius, CC SNe are found closer to the inner (outer) edge. No
such correlation is observed for SNe in NGD galaxies nor for SNe Ia in either
galaxy class; (3) in GD galaxies, SNe Ibc occur closer to the leading edges of
the arms than do SNe II, while in NGD galaxies they are more concentrated
towards the peaks of arms. In both samples of hosts, the distributions of SNe
Ia relative to the arms have broader wings. These observations suggest that
shocks in spiral arms of GD galaxies trigger star formation in the leading
edges of arms affecting the distributions of CC SNe (known to have short-lived
progenitors). The closer locations of SNe Ibc vs. SNe II relative to the
leading edges of the arms supports the belief that SNe Ibc have more massive
progenitors. SNe Ia having less massive and older progenitors, have more time
to drift away from the leading edge of the spiral arms.


title: Infinite arctangent sums involving Fibonacci and Lucas numbers

abstract:
  Using a straightforward elementary approach, we derive numerous infinite
arctangent summation formulas involving Fibonacci and Lucas numbers. While most
of the results obtained are new, a couple of celebrated results appear as
particular cases of the more general formulas derived here.


title:
A bound on the expected number of random elements to generate a finite
  group all of whose Sylow subgroups are d-generated

abstract:
  Assume that all the Sylow subgroups of a finite group $G$ can be generated by
$d$ elements. Then the expected number of elements of $G$ which have to be
drawn at random, with replacement, before a set of generators is found, is at
most $d+\eta$ with $\eta \sim 2.875065.$


title: Partial Convergence of Heterogeneous Hegselmann-Krause Opinion Dynamics

abstract:
  In opinion dynamics, the convergence of the heterogeneous Hegselmann-Krause
(HK) dynamics has always been an open problem for years which looks forward to
any essential progress. In this short note, we prove a partial convergence
conclusion of the general heterogeneous HK dynamis. That is, there must be some
agents who will reach static states in finite time, while the other opinions
have to evolve between them with a minimum distance if all the opinions does
not reach consensus. And this result leads to the convergence of two special
case of heterogeneous HK dynamics: the minimum confidence threshold is large
enough, or the initial opinion difference is small enough.


title:
The rational homology ring of the based loop space of the gauge groups
  and the spaces of connections on a four-manifold

abstract:
  We provide the rational-homotopic proof that the ranks of the homotopy groups
of a simply connected four-manifold depend only on its second Betti number. We
also consider the based loop spaces of the gauge groups and the spaces of
connections of a simply connected four-manifold and, appealing to~\cite{TI} and
using the models from the rational homotopy theory, we obtain the explicit
formulas for their rational Pontrjagin homology rings.


title:
Ring-shaped spectra of parametric down-conversion and entangled photons
  that never meet

abstract:
  We report on the observation of an unusual type of parametric
down-conversion. In the regime where collinear degenerate emission is in the
anomalous range of group-velocity dispersion, its spectrum is restricted in
both angle and wavelength. Detuning from exact collinear-degenerate
phasematching leads to a ring shape of the wavelength-angular spectrum,
suggesting a new type of spatiotemporal coherence and entanglement of photon
pairs. By imposing a phase varying in a specific way in both angle and
wavelength, one can obtain an interesting state of an entangled photon pair,
with the two photons being never at the same point at the same time.


title:
GENMR: Generalized Query Processing through Map Reduce In Cloud Database
  Management System

abstract:
  Big Data, Cloud computing, Cloud Database Management techniques, Data Science
and many more are the fantasizing words which are the future of IT industry.
For all the new techniques one common thing is that they deal with Data, not
just Data but the Big Data. Users store their various kinds of data on cloud
repositories. Cloud Database Management System deals with such large sets of
data. For processing such gigantic amount of data, traditional approaches are
not suitable because these approaches are not able to handle such size of data.
To handle these, various solutions have been developed such as Hadoop, Map
Reduce Programming codes, HIVE, PIG etc. Map Reduce codes provides both
scalability and reliability. But till date, users are habitual of SQL, Oracle
kind of codes for dealing with data and they are not aware of Map Reduce codes.
In this paper, a generalized model GENMR has been implemented, which takes
queries written in various RDBMS forms like SQL, ORACLE, DB2, MYSQL and convert
into Map Reduce codes. A comparison has been done to evaluate the performance
of GENMR with latest techniques like HIVE and PIG and it has been concluded
that GENMR shows much better performance as compare to both the techniques. We
also introduce an optimization technique for mapper placement problems to
enhance the effect of parallelism which improves the performance of such
Amalgam approach.


title:
Towards the Design of Effective Freehand Gestural Interaction for
  Interactive TV

abstract:
  As interactive devices become pervasive, people are beginning to looking for
more advanced interaction with televisions in the living room. Interactive
television has the potential to offer a very engaging experience. But most
common user tasks are still challenging with such systems, such as menu
selection or text input. And little work has been done on understanding and
sup-porting the effective design of freehand interaction with an TV in the
living room. In this paper, we perform two studies investi-gating freehand
gestural interaction with a consumer level sensor, which is suitable for TV
scenarios. In the first study, we inves-tigate a range of design factors for
tiled layout menu selection, including wearable feedback, push gesture depth,
target size and position in motor space. The results show that tactile and
audio feedback have no significant effect on performance and prefer-ence, and
these results inform potential designs for high selection performance. In the
second study, we investigate a common TV user task of text input using freehand
gesture. We design and evaluate two virtual keyboard layouts and three freehand
selec-tion methods. Results show that ease of use and error tolerance can be
both achieved using a text entry method utilizing a dual circle layout and an
expanding target selection technique. Finally, we propose design guidelines for
effective, usable and com-fortable freehand gestural interaction for
interactive TV based on the findings.


title:
Universal Superspace Unitary Operator and Nilpotent (Anti-)dual BRST
  Symmetries: Superfield Formalism

abstract:
  We exploit the key concepts of the augmented version of superfield approach
to Becchi-Rouet-Stora-Tyutin (BRST) formalism to derive the superspace (SUSP)
dual unitary operator (and its Hermitian conjugate) and demonstrate their
utility in the derivation of the nilpotent and absolutely anticommuting
(anti-)dual BRST symmetry transformations for a set of interesting models of
the Abelian 1-form gauge theories. These models are the one (0+1)-dimensional
(1D) rigid rotor, modified versions of the two (1+1)-dimensional (2D) Proca as
well as anomalous gauge theories and 2D model of a self-dual bosonic field
theory. We show the universality of the SUSP dual unitary operator and its
Hermitian conjugate in the cases of all the Abelian models under consideration.
These SUSP dual unitary operators, besides maintaining the explicit group
structure, provide the alternatives to the dual-horizontality condition (DHC)
and dual-gauge invariant restrictions (DGIRs) of the superfield formalism. The
derivation of the dual unitary operators and corresponding (anti-)dual BRST
symmetries are completely novel results in our present investigation.


title:
Unsupervised Domain Adaptation in the Wild: Dealing with Asymmetric
  Label Sets

abstract:
  The goal of domain adaptation is to adapt models learned on a source domain
to a particular target domain. Most methods for unsupervised domain adaptation
proposed in the literature to date, assume that the set of classes present in
the target domain is identical to the set of classes present in the source
domain. This is a restrictive assumption that limits the practical
applicability of unsupervised domain adaptation techniques in real world
settings ("in the wild"). Therefore, we relax this constraint and propose a
technique that allows the set of target classes to be a subset of the source
classes. This way, large publicly available annotated datasets with a wide
variety of classes can be used as source, even if the actual set of classes in
target can be more limited and, maybe most importantly, unknown beforehand.
  To this end, we propose an algorithm that orders a set of source subspaces
that are relevant to the target classification problem. Our method then chooses
a restricted set from this ordered set of source subspaces. As an extension,
even starting from multiple source datasets with varied sets of categories,
this method automatically selects an appropriate subset of source categories
relevant to a target dataset. Empirical analysis on a number of source and
target domain datasets shows that restricting the source subspace to only a
subset of categories does indeed substantially improve the eventual target
classification accuracy over the baseline that considers all source classes.


title:
Mining DNA Sequences Based on Spatially Coded Technique Using Spatial
  Light Modulator

abstract:
  In this paper, we present an optical computing method for string data
alignment applicable to genome information analysis. By applying moire
technique to spatial encoding patterns of deoxyribonucleic acid (DNA)
sequences, association information of the genome and the expressed phenotypes
could more effectively be extracted. Such moire fringes reveal occurrence of
matching, deletion and insertion between DNA sequences providing useful
visualized information for prediction of gene function and classification of
species. Furthermore, by applying a cylindrical lens, a new technique is
proposed to map two-dimensional (2D) association information to a
one-dimensional (1D) column of pixels, where each pixel in the column is
representative of superposition of all bright and dark pixels in the
corresponding row. By such a time-consuming preprocessing, local similarities
between two intended patterns can readily be found by just using a 1D array of
photodetectors and postprocessing could be performed on specified parts in the
initial 2D pattern. We also evaluate our proposed circular encoding adapted for
poor data alignment condition. Our simulation results together with
experimental implementation verify the effectiveness of our dynamic proposed
methods which significantly improve system parameters such as processing gain
and signal to noise ratio (SNR).


title:
Direct coupling between charge current and spin polarization by
  extrinsic mechanisms in graphene

abstract:
  Spintronics---the all-electrical control of the electron spin for quantum or
classical information storage and processing---is one of the most promising
applications of the two-dimensional material graphene. Although pristine
graphene has negligible spin-orbit coupling (SOC), both theory and experiment
suggest that SOC in graphene can be substantially enhanced by extrinsic means,
such as functionalization by adatom impurities. We present a theory of
transport in graphene that accounts for the full spin-coherent dynamics of the
carriers, including hitherto-neglected spin precession processes during
resonant scattering with dilute impurities. We identify a novel "anisotropic
spin precession scattering" process, specific to two dimensions and extrinsic
SOC, which contributes to a large current-induced spin polarization in
graphene. The theory also yields a comprehensive description of the spin
relaxation mechanisms in impurity-decorated graphene: the Elliot-Yafet and
Dyakonov-Perel relaxation rates are both present, and we find that the latter
can dominate for some choices of carrier density and impurity strength. This
provides theoretical foundations for designing future graphene-based integrated
spintronic devices.


title: Support Driven Wavelet Frame-based Image Deblurring

abstract:
  The wavelet frame systems have been playing an active role in image
restoration and many other image processing fields over the past decades, owing
to the good capability of sparsely approximating piece-wise smooth functions
such as images. In this paper, we propose a novel wavelet frame based sparse
recovery model called \textit{Support Driven Sparse Regularization} (SDSR) for
image deblurring, where the partial support information of frame coefficients
is attained via a self-learning strategy and exploited via the proposed
truncated $\ell_0$ regularization. Moreover, the state-of-the-art image
restoration methods can be naturally incorporated into our proposed wavelet
frame based sparse recovery framework. In particular, in order to achieve
reliable support estimation of the frame coefficients, we make use of the
state-of-the-art image restoration result such as that from the IDD-BM3D method
as the initial reference image for support estimation. Our extensive
experimental results have shown convincing improvements over existing
state-of-the-art deblurring methods.


title: Fast and Provably Accurate Bilateral Filtering

abstract:
  The bilateral filter is a non-linear filter that uses a range filter along
with a spatial filter to perform edge-preserving smoothing of images. A direct
computation of the bilateral filter requires $O(S)$ operations per pixel, where
$S$ is the size of the support of the spatial filter. In this paper, we present
a fast and provably accurate algorithm for approximating the bilateral filter
when the range kernel is Gaussian. In particular, for box and Gaussian spatial
filters, the proposed algorithm can cut down the complexity to $O(1)$ per pixel
for any arbitrary $S$. The algorithm has a simple implementation involving
$N+1$ spatial filterings, where $N$ is the approximation order. We give a
detailed analysis of the filtering accuracy that can be achieved by the
proposed approximation in relation to the target bilateral filter. This allows
us to to estimate the order $N$ required to obtain a given accuracy. We also
present comprehensive numerical results to demonstrate that the proposed
algorithm is competitive with state-of-the-art methods in terms of speed and
accuracy.


title: Unique conditional expectations for abelian $C^*$-inclusions

abstract:
  Let $D \subseteq A$ be an inclusion of unital abelian $C^*$-algebras. In this
note we characterize (in topological terms) when there is a unique conditional
expectation $E:A \to D$, at least when $A$ is separable. As an application, we
provide the first example of an inclusion with a unique conditional
expectation, but multiple pseudo-expectations (in the sense of Pitts).


title: Energy-saving Pushing Based on Personal Interest and Context Information

abstract:
  Pushing files to users based on predicting the personal interest of each user
may provide higher throughput gain than broadcasting popular files to users
based on their common interests. However, the energy consumed at base station
for pushing files individually to each user is also higher than broadcast. In
this paper, we propose an energy-saving transmission strategy for
pre-downloading the files to each user by exploiting the excess resources in
the network during off-peak time. Specifically, a power allocation and
scheduling algorithm is designed aimed to minimize the extra energy consumed
for pushing, where network and user level context information are exploited.
Simulation results show that when the energy of both content placement and
content delivery is taken into account, the proposed unicast strategy consumes
less energy and achieves higher throughput than broadcasting when the files
popularity is not uniform and the personal interest prediction is with less
uncertainty.


title:
Observational constraints and differential diagnosis for cosmic
  evolutionary models

abstract:
  In this paper, we have proposed a plotting method based on the " natural
plotting rule " (NPR) which can be used to distinguish different cosmological
scenarios more efficiently and obtain more useful information. By using the
NPR, we have avoided the blindness to use different diagnostics when
discovering that some scenarios can be hardly differentiated from each other,
and develop a logical line to adopt different diagnostics. As a concrete
instance, we take this method based on the NPR to distinguish several
Cardassian scenarios from the base cosmology scenario, and one from the other.
We place constraints on three Cardassian cosmological scenarios and their flat
versions by utilizing the Type Ia supernovae (SNe Ia), baryonic acoustic
oscillations (BAO), cosmic microwave background (CMB) radiation, observational
Hubble parameter (OHD) data-sets as well as the single data point from the
newest event GW150914, and discover that our results are more stringent than
previous results for constraining the cosmological parameters of the Cardassian
scenarios. We find that the flat original Cardassian (FOC) and original
Cardassian (OC) scenarios can only be distinguished in the plane of
$\{\Omega_m,S_3^{(1)}\}$ at the present epoch, however, if applying the NPR to
plot hierarchically for these Cardassian scenarios in the plane of
$\{S_3^{(1)},S_4^{(1)}\}$, we can obtain more detailed information and
distinguish the two scenarios better than before. More importantly, from the
planes of $\{S_4,S_4^{(2)}\}$, $\{S_5^{(1)},S_5^{(2)}\}$,
$\{S_3^{(2)},S_4^{(2)}\}$, $\{\Omega_m,S_3^{(1)}\}$,$\{z,\omega\}$
$\{\epsilon(z),S_3^{(1)}\}$ and $\{z,Om\}$, we dsicover that the flat modified
polytropic Cardassian (FMPC) scenario can be directly removed from the possible
candidates of dark energy phenomenon, since its evolutional behavior deviates
from the base cosmology scenario too much.


title: Reconstructing undirected graphs from eigenspaces

abstract:
  In this paper, we aim at recovering an undirected weighted graph of $N$
vertices from the knowledge of a perturbed version of the eigenspaces of its
adjacency matrix $W$. For instance, this situation arises for stationary
signals on graphs or for Markov chains observed at random times. Our approach
is based on minimizing a cost function given by the Frobenius norm of the
commutator $\mathsf{A} \mathsf{B}-\mathsf{B} \mathsf{A}$ between symmetric
matrices $\mathsf{A}$ and $\mathsf{B}$.
  In the Erd\H{o}s-R\'enyi model with no self-loops, we show that
identifiability (i.e., the ability to reconstruct $W$ from the knowledge of its
eigenspaces) follows a sharp phase transition on the expected number of edges
with threshold function $N\log N/2$.
  Given an estimation of the eigenspaces based on a $n$-sample, we provide
support selection procedures from theoretical and practical point of views. In
particular, when deleting an edge from the active support, our study unveils
that our test statistic is the order of $\mathcal O(1/n)$ when we overestimate
the true support and lower bounded by a positive constant when the estimated
support is smaller than the true support. This feature leads to a powerful
practical support estimation procedure. Simulated and real life numerical
experiments assert our new methodology.

categories: math.ST cs.IT math.IT stat.ME stat.ML stat.TH


title:
GPU Computing in Bayesian Inference of Realized Stochastic Volatility
  Model

abstract:
  The realized stochastic volatility (RSV) model that utilizes the realized
volatility as additional information has been proposed to infer volatility of
financial time series. We consider the Bayesian inference of the RSV model by
the Hybrid Monte Carlo (HMC) algorithm. The HMC algorithm can be parallelized
and thus performed on the GPU for speedup. The GPU code is developed with CUDA
Fortran. We compare the computational time in performing the HMC algorithm on
GPU (GTX 760) and CPU (Intel i7-4770 3.4GHz) and find that the GPU can be up to
17 times faster than the CPU. We also code the program with OpenACC and find
that appropriate coding can achieve the similar speedup with CUDA Fortran.


title: Joint spectrum for quasi-solvable Lie algebras of operators

abstract:
  Given a complex Banach space $X$ and a joint spectrum for complex solvable
finite dimensional Lie algebras of operators defined on $X$, we extend this
joint spectrum to quasi-solvable Lie algebras of operators, and we prove the
main spectral properties of the extended joint spectrum. We also show that this
construction is uniquely determined by the original joint spectrum.


title: The Parameterized Hardness of Art Gallery Problems

abstract:
  Given a simple polygon $\mathcal{P}$ on $n$ vertices, two points $x,y$ in
$\mathcal{P}$ are said to be visible to each other if the line segment between
$x$ and $y$ is contained in $\mathcal{P}$. The Point Guard Art Gallery problem
asks for a minimum set $S$ such that every point in $\mathcal{P}$ is visible
from a point in $S$. The Vertex Guard Art Gallery problem asks for such a set
$S$ subset of the vertices of $\mathcal{P}$. A point in the set $S$ is referred
to as a guard. For both variants, we rule out any $f(k)n^{o(k / \log k)}$
algorithm, where $k := |S|$ is the number of guards, for any computable
function $f$, unless the Exponential Time Hypothesis fails. These lower bounds
almost match the $n^{O(k)}$ algorithms that exist for both problems.


title: The causal order on the ambient boundary

abstract:
  We analyse the causal structure of the ambient boundary, the conformal
infinity of the ambient (Poincar\'e) metric. Using topological tools we show
that the only causal relation compatible with the global topology of the
boundary spacetime is the horismos order. This has important consequences for
the notion of time in the conformal geometry of the ambient boundary.


title: Nearly non-scattering electromagnetic wave set and its application

abstract:
  For any inhomogeneous compactly supported electromagnetic (EM) medium, it is
shown that there exists an infinite set of linearly independent electromagnetic
waves which generate nearly vanishing scattered wave fields. If the
inhomogeneous medium is coated with a layer of properly chosen conducting
medium, then the wave set is generated from the Maxwell-Herglotz approximation
to the interior PEC or PMC eigenfunctions and depends only on the shape of the
inhomogeneous medium. If no such a conducting coating is used, then the wave
set is generated from the Maxwell-Herglotz approximation to the generalised
interior transmission eigenfunctions and depends on both the content and the
shape of the inhomogeneous medium. We characterise the nearly non-scattering
wave sets in both cases with sharp estimates. The results can be used to give a
conceptual design of a novel shadowless lamp. The crucial ingredient is to
properly choose the source of the lamp so that nearly no shadow will be
produced by the surgeons operating under the lamp.


title: Bandwidth-aware Service Placement in Community Network Clouds

abstract:
  Seamless computing and service sharing in community networks have been
gaining momentum due to the emerging technology of community network
micro-clouds (CNMCs). However, running services in CNMCs can face enormous
challenges such as the dynamic nature of micro-clouds, limited capacity of
nodes and links, asymmetric quality of wireless links for services, deployment
mod- els based on geographic singularities rather than network QoS, and etc.
CNMCs have been increasingly used by network-intensive services that exchange
significant amounts of data between the nodes on which they run, therefore the
performance heavily relies on the available bandwidth resource in a network.
This paper proposes a novel bandwidth-aware service placement algorithm which
out- performs the current random placement adopted by Guifi.net. Our
preliminary results show that the proposed algorithm consistently outperforms
the current random placement adopted in Guifi.net by 35% regarding its
bandwidth gain. More importantly, as the number of services increases, the gain
tends to increase accordingly.


title:
Nonrigid Optical Flow Ground Truth for Real-World Scenes with
  Time-Varying Shading Effects

abstract:
  In this paper we present a dense ground truth dataset of nonrigidly deforming
real-world scenes. Our dataset contains both long and short video sequences,
and enables the quantitatively evaluation for RGB based tracking and
registration methods. To construct ground truth for the RGB sequences, we
simultaneously capture Near-Infrared (NIR) image sequences where dense markers
- visible only in NIR - represent ground truth positions. This allows for
comparison with automatically tracked RGB positions and the formation of error
metrics. Most previous datasets containing nonrigidly deforming sequences are
based on synthetic data. Our capture protocol enables us to acquire real-world
deforming objects with realistic photometric effects - such as blur and
illumination change - as well as occlusion and complex deformations. A public
evaluation website is constructed to allow for ranking of RGB image based
optical flow and other dense tracking algorithms, with various statistical
measures. Furthermore, we present an RGB-NIR multispectral optical flow model
allowing for energy optimization by adoptively combining featured information
from both the RGB and the complementary NIR channels. In our experiments we
evaluate eight existing RGB based optical flow methods on our new dataset. We
also evaluate our hybrid optical flow algorithm by comparing to two existing
multispectral approaches, as well as varying our input channels across RGB, NIR
and RGB-NIR.


title: Type $D_n^{(1)}$ rigged configuration bijection

abstract:
  We establish a bijection between the set of rigged configurations and the set
of tensor products of Kirillov--Reshetikhin crystals of type $D^{(1)}_n$ in
full generality. We prove the invariance of rigged configurations under the
action of the combinatorial $R$-matrix on tensor products and show that the
bijection preserves certain statistics (cocharge and energy). As a result, we
establish the fermionic formula for type $D_n^{(1)}$. In addition, we establish
that the bijection is a classical crystal isomorphism.


title:
An efficient ab-initio quasiharmonic approach for the thermodynamics of
  solids

abstract:
  A first-principles approach called the {\it{self-consistent quasiharmonic
approximation}} (SC-QHA) method is formulated to calculate the thermal
expansion, thermomechanics, and thermodynamic functions of solids at finite
temperatures with both high efficiency and accuracy. The SC-QHA method requires
fewer phonon calculations than the conventional QHA method, and also
facilitates the convenient analysis of the microscopic origins of macroscopic
thermal phenomena. The superior performance of the SC-QHA method is
systematically examined by comparing it with the conventional QHA method and
experimental measurements on silicon, diamond, and alumina. It is then used to
study the effects of pressure on the anharmonic lattice properties of diamond
and alumina. The thermal expansion and thermomechanics of Ca$_3$Ti$_2$O$_7$,
which is a recently discovered important ferroelectric ceramic with a complex
crystal structure that is computationally challenging for the conventional QHA
method, are also calculated using the formulated SC-QHA method. The SC-QHA
method can significantly reduce the computational expense for various
quasiharmonic thermal properties especially when there are a large number of
structures to consider or when the solid is structurally complex. It is
anticipated that the algorithm will be useful for a variety of fields,
including oxidation, corrosion, high-pressure physics, ferroelectrics, and
high-throughput structure screening when temperature effects are required to
accurately describe realistic properties.


title:
Capacity Analysis for Spatially Non-wide Sense Stationary Uplink Massive
  MIMO Systems

abstract:
  Channel measurements show that significant spatially
non-wide-sense-stationary characteristics rise in massive MIMO channels.
Notable parameter variations are experienced along the base station array, such
as the average received energy at each antenna, and the directions of arrival
of signals impinging on different parts of the array. In this paper, a new
channel model is proposed to describe this spatial non-stationarity in massive
MIMO channels by incorporating the concepts of partially visible clusters and
wholly visible clusters. Furthermore, a closed-form expression of an upper
bound on the ergodic sum capacity is derived for the new model, and the
influence of the spatial non-stationarity on the sum capacity is analyzed.
Analysis shows that for non-identically-and-independent-distributed (i.i.d.)
Rayleigh fading channels, the non-stationarity benefits the sum capacity by
bringing a more even spread of channel eigenvalues. Specifically, more
partially visible clusters, smaller cluster visibility regions and a larger
antenna array can all help to yield a well-conditioned channel, and benefit the
sum capacity. This shows the advantage of using a large antenna array in a
non-i.i.d. channel: the sum capacity benefits not only from a higher array
gain, but also from a more spatially non-stationary channel. Numerical results
demonstrate our analysis and the tightness of the upper bound.


title: Video Interpolation using Optical Flow and Laplacian Smoothness

abstract:
  Non-rigid video interpolation is a common computer vision task. In this paper
we present an optical flow approach which adopts a Laplacian Cotangent Mesh
constraint to enhance the local smoothness. Similar to Li et al., our approach
adopts a mesh to the image with a resolution up to one vertex per pixel and
uses angle constraints to ensure sensible local deformations between image
pairs. The Laplacian Mesh constraints are expressed wholly inside the optical
flow optimization, and can be applied in a straightforward manner to a wide
range of image tracking and registration problems. We evaluate our approach by
testing on several benchmark datasets, including the Middlebury and Garg et al.
datasets. In addition, we show application of our method for constructing 3D
Morphable Facial Models from dynamic 3D data.


title:
Multivariate normal limit laws for the numbers of fringe subtrees in $ m
  $-ary search trees and preferential attachment trees

abstract:
  We study fringe subtrees of random $ m $-ary search trees and of preferential
attachment trees, by putting them in the context of generalised P\'olya urns.
In particular we show that for the random $ m $-ary search trees with $ m\leq
26 $ and for the linear preferential attachment trees, the number of fringe
subtrees that are isomorphic to an arbitrary fixed tree $ T $ converges to a
normal distribution; more generally, we also prove multivariate normal
distribution results for random vectors of such numbers for different fringe
subtrees. Furthermore, we show that the number of protected nodes in random
$m$-ary search trees for $ m\leq 26 $ has asymptotically a normal distribution.


title:
A remark on the Glimm scheme for inhomogeneous hyperbolic systems of
  balance laws

abstract:
  General hyperbolic systems of balance laws with inhomogeneous flux and source
are studied. Global existence of entropy weak solutions to the Cauchy problem
is established for small $BV$ data under appropriate assumptions on the decay
of the flux and the source with respect to space and time. There is neither a
hypothesis about equilibrium solution nor about the dependence of the source on
the state vector as previous results have assumed.


title: Likelihood-based inference of B-cell clonal families

abstract:
  The human immune system depends on a highly diverse collection of
antibody-making B cells. B cell receptor sequence diversity is generated by a
random recombination process called "rearrangement" forming progenitor B cells,
then a Darwinian process of lineage diversification and selection called
"affinity maturation." The resulting receptors can be sequenced in high
throughput for research and diagnostics. Such a collection of sequences
contains a mixture of various lineages, each of which may be quite numerous, or
may consist of only a single member. As a step to understanding the process and
result of this diversification, one may wish to reconstruct lineage membership,
i.e. to cluster sampled sequences according to which came from the same
rearrangement events. We call this clustering problem "clonal family
inference." In this paper we describe and validate a likelihood-based framework
for clonal family inference based on a multi-hidden Markov Model (multi-HMM)
framework for B cell receptor sequences. We describe an agglomerative algorithm
to find a maximum likelihood clustering, two approximate algorithms with
various trade-offs of speed versus accuracy, and a third, fast algorithm for
finding specific lineages. We show that under simulation these algorithms
greatly improve upon existing clonal family inference methods, and that they
also give significantly different clusters than previous methods when applied
to two real data sets.


title: Ring-theoretic blowing down: I

abstract:
  One of the major open problems in noncommutative algebraic geometry is the
classification of noncommutative projective surfaces (or, slightly more
generally, of noetherian connected graded domains of Gelfand-Kirillov dimension
3). Earlier work of the authors classified the connected graded noetherian
subalgebras of Sklyanin algebras using a noncommutative analogue of blowing up.
In order to understand other algebras birational to a Sklyanin algebra, one
also needs a notion of blowing down.
  This is achieved in this paper, where we give a noncommutative analogue of
Castelnuovo's classic theorem that (-1)-lines on a smooth surface can be
contracted. The resulting noncommutative blown-down algebra has pleasant
properties; in particular it is always noetherian and is smooth if the original
noncommutative surface is smooth.
  In a companion paper we will use this technique to construct explicit
birational transformations between various noncommutative surfaces which
contain an elliptic curve.


title: Robust transport over networks

abstract:
  We consider transport over a strongly connected, directed graph. The
scheduling amounts to selecting transition probabilities for a discrete-time
Markov evolution which is designed to be consistent with certain initial and
final marginals. The random evolution is selected to be closest to a prior
measure on paths in the relative entropy sense, i.e., a Schroedinger bridge
between the two marginals. This is an atypical stochastic control problem where
the control consists in suitably modifying the transition mechanism. The prior
can incorporate cost of traversing edges or allocate equal probability to all
paths of equal length connecting any two given nodes, i.e., a uniform measure
on paths. This latter choice relies on the so-called Ruelle-Bowen random walk
and gives rise to a scheduling that tends to utilize all paths as uniformly as
the topology allows. Thus, when the Ruelle-Bowen law is taken as prior, the
transportation plan tends to lessen congestion and ensure a level of
robustness. We show that the Ruelle-Bowen law is itself a Schroedinger bridge
albeit with a prior that is not a probability measure. The paradigm of
Schroedinger bridges as a mechanism for scheduling transport on networks can be
adapted to graphs that are not strongly connected as well as to weighted
graphs. The latter leads to transportation plans that effect a compromise
between robustness and transportation cost.


title:
Exploring the electron density in plasma induced by EUV radiation: II.
  Numerical studies in argon and hydrogen

abstract:
  We used numerical modeling to study the evolution of EUV-induced plasmas in
argon and hydrogen. The results of simulations were compared to the electron
densities measured by microwave cavity resonance spectroscopy. It was found
that the measured electron densities can be used to derive the integral amount
of plasma in the cavity. However, in some regimes, the impact of the setup
geometry, EUV spectrum, and EUV induced secondary emission should be taken into
account. The influence of these parameters on the generated plasma and the
measured electron density is discussed.


title:
Representation stability for the cohomology of arrangements associated
  to root systems

abstract:
  From a root system, one may consider the arrangement of reflecting
hyperplanes, as well as its toric and elliptic analogues. The corresponding
Weyl group acts on the complement of the arrangement and hence on its
cohomology. We consider a sequence of linear, toric, or elliptic arrangements
which arise from a family of root systems of type A, B, C, or D, and we show
that the rational cohomology stabilizes as a sequence of Weyl group
representations. Our techniques combine a Leray spectral sequence argument
similar to that of Church in the type A case along with FI$_W$-module theory
which Wilson developed and used in the linear case. A key to the proof relies
on a combinatorial description, using labelled partitions, of the poset of
connected components of intersections of subvarieties in the arrangement.


title: Optimal Joint Power and Subcarrier Allocation for MC-NOMA Systems

abstract:
  In this paper, we investigate the resource allocation algorithm design for
multicarrier non-orthogonal multiple access (MC-NOMA) systems. The proposed
algorithm is obtained from the solution of a non-convex optimization problem
for the maximization of the weighted system throughput. We employ monotonic
optimization to develop the optimal joint power and subcarrier allocation
policy. The optimal resource allocation policy serves as a performance
benchmark due to its high complexity. Furthermore, to strike a balance between
computational complexity and optimality, a suboptimal scheme with low
computational complexity is proposed. Our simulation results reveal that the
suboptimal algorithm achieves a close-to-optimal performance and MC-NOMA
employing the proposed resource allocation algorithm provides a substantial
system throughput improvement compared to conventional multicarrier orthogonal
multiple access (MC-OMA).


title:
Koszul duality and the PBW theorem in symmetric tensor categories in
  positive characteristic

abstract:
  We generalize the theory of Koszul complexes and Koszul algebras (in
particular, Koszul duality between symmetric and exterior algebras) to
symmetric tensor categories. In characteristic $p\ge 5$, this theory exhibits
peculiar effects, not observed in the classical theory. In particular, we show
that the symmetric and exterior algebras of a non-invertible simple object in
the Verlinde category ${\rm Ver}_p$ are almost Koszul (although not Koszul),
and show how this gives examples of $(r,s)$-Koszul algebras with any $r,s\ge
2$. We also develop a theory of Lie algebras in symmetric tensor categories. We
show that the PBW theorem may fail in ${\rm Ver}_p$, but it holds if one
assumes a certain identity of degree $p$ which we call the $p$-Jacobi identity.
This identity is a generalization to $p\ge 5$ of the identity $[x,x]=0$
required for Lie algebras in characteristic $2$ and the identity $[[x,x],x]=0$
for odd $x$ required for Lie superalgebras in characteristic $3$.


title: $\aleph_0$-categorical Banach spaces contain $\ell_p$ or $c_0$

abstract:
  This paper has three parts. First, we establish some of the basic model
theoretic facts about $M_{\mathcal{T}}$, the Tsirelson space of Figiel and
Johnson \cite{FJ}. Second, using the results of the first part, we give some
facts about general Banach spaces. Third, we study model-theoretic dividing
lines in some Banach spaces and their theories. In~particular, we show: (1)
$M_{\mathcal{T}}$ has the \emph{non independence property} (NIP); (2) every
Banach space that is $\aleph_0$-categorical up to small perturbations embeds
$c_0$ or $\ell_p$ ($1\leqslant p<\infty$) almost isometrically; consequently
the (continuous) first-order theory of $M_{\mathcal{T}}$ does not characterize
$M_{\mathcal{T}}$, up to almost isometric isomorphism.


title:
Constructing low-dimensional stochastic wind models through hierarchical
  spatial temporal decomposition

abstract:
  Current wind turbine simulations successfully use turbulence generating tools
for modeling behavior. However, they lack the ability to reproduce
variabilities in wind dynamics and inherent stochastic structures (like
temporal and spatial coherences, sporadic bursts, high shear regions). This
necessitates a more realistic parameterization of the wind that encodes
location-, topography-, diurnal-, seasonal and stochastic affects. In this
work, we develop a hierarchical temporal and spatial decomposition (TSD) of
large-scale meteorology data to construct a low-dimensional yet realistic
stochastic wind flow model. Starting from a large data set (Crop Wind-energy
EXperiment), a low dimensional stochastic parameterization is constructed. The
resulting time-resolved stochastic model encodes the statistical behavior
exhibited by the actual wind flow. Moreover, the temporal modes encode the
variation of wind speed in the mean sense and resolve diurnal variations and
temporal correlation while the spatial modes provide deeper insight into
spatial coherence of the wind field - which is a key aspect in current wind
turbine sizing, design and classification. Comparison of several important
turbulent properties between the simulated wind flow and the original dataset
show the utility of the framework. We envision this framework as a useful
complement to existing wind simulation codes.


title: Monopoles and foliations without holonomy-invariant transverse measure

abstract:
  This article proves a uniform exponential decay estimate for Seiberg-Witten
equations on non-compact 4-manifolds with exact symplectic ends of bounded
geometry. This is an extension of the analysis for asymptotically flat almost
K\"ahler (AFAK) structures by Kronheimer and Mrowka. As an application, we
construct an invariant for smooth foliations without holonomy-invariant
transverse measure, which takes value in the boundary-stable version of the
monopole Floer homology group, without invoking the Eliashberg-Thurston
perturbation.


title: Model Predictive Load Scheduling Using Solar Power Forecasting

abstract:
  In this paper a model is developed to solve the on/off scheduling of
(non-linear) dynamic electric loads based on predictions of the power delivery
of a (standalone) solar power source. Knowledge of variations in the solar
power output is used to optimally select the timing and the combinations of a
set of given electric loads, where each load has a desired dynamic power
profile. The optimization exploits the desired power profiles of the electric
loads in terms of dynamic power ramp up/down and minimum time on/off of each
load to track a finite number of load switching combinations over a moving
finite prediction horizon. Subsequently, a user-specified optimization function
with possible power constraints is evaluated over the finite number of
combinations to allow for real-time computation of the optimal timing and
switching of loads. A case study for scheduling electric on/off loads with
switching dynamics and solar forecast data at UC San Diego is carried out.


title:
Preperiodic portraits for unicritical polynomials over a rational
  function field

abstract:
  Let $K$ be an algebraically closed field of characteristic zero, and let
$\mathcal{K} := K(t)$ be the rational function field over $K$. For each $d \ge
2$, we consider the unicritical polynomial $f_d(z) := z^d + t \in
\mathcal{K}[z]$, and we ask the following question: If we fix $\alpha \in
\mathcal{K}$ and integers $M \ge 0$, $N \ge 1$, and $d \ge 2$, does there exist
a place $\mathfrak{p} \in \operatorname{Spec} K[t]$ such that, modulo
$\mathfrak{p}$, the point $\alpha$ enters into an $N$-cycle after precisely $M$
steps under iteration by $f_d$? We answer this question completely, concluding
that the answer is generally affirmative and explicitly giving all
counterexamples. This extends previous work by the author in the case that
$\alpha$ is a constant point.


title: Kepler motion on single-sheet hyperboloid

abstract:
  The classical Kepler-Coulomb problem on the single-sheeted hyperboloid
$H^{3}_1$ is solved in the framework of the Hamilton--Jacobi equation. We have
proven that all the bounded orbits are closed and periodic. The paths are
ellipses or circles for finite motion.


title: Functions in Bloch-type spaces and their moduli

abstract:
  Given a suitably regular nonnegative function $\omega$ on $(0,1]$, let
$\mathcal B_\omega$ denote the space of all holomorphic functions $f$ on the
unit ball $\mathbb B_n$ of $\mathbb C^n$ that satisfy $$|\nabla f(z)|\le
C\frac{\omega(1-|z|)}{1-|z|},\qquad z\in\mathbb B_n,$$ with some fixed
$C=C_f>0$. We obtain a new characterization of $\mathcal B_\omega$ functions in
terms of their moduli.


title: Amplification of dust loading in Martian dust devils by self-shadowing

abstract:
  Insolation of the Martian soil leads to a sub-surface overpressure due to
thermal creep gas flow. This could support particle entrainment into the
atmosphere. Short time shadowing e.g. by the traverse of a larger dust devil
would enhance this effect. We find in microgravity experiments that mass
ejection rates are increased by a factor of 10 for several seconds if a light
source of 12.6 kW/$\rm m^2$ is turned off. Scaled to Mars this implies that
self-shadowing of a partially opaque dust devil might lead to a strongly
amplified flux of lifted material. We therefore suggest that self-shadowing
might be a mechanism on Mars to increase the total dust loading of a dust devil
and keep it self-sustained.


title:
Conjoint axiomatization of the Choquet integral for heterogeneous
  product sets

abstract:
  We propose an axiomatization of the Choquet integral model for the general
case of a heterogeneous product set $X = X_1 \times \ldots \times X_n$. In MCDA
elements of $X$ are interpreted as alternatives, characterized by criteria
taking values from the sets $X_i$. Previous axiomatizations of the Choquet
integral have been given for particular cases $X = Y^n$ and $X = \mathbb{R}^n$.
However, within multicriteria context such identicalness, hence
commensurateness, of criteria cannot be assumed a priori. This constitutes the
major difference of this paper from the earlier axiomatizations. In particular,
the notion of "comonotonicity" cannot be used in a heterogeneous structure, as
there does not exist a "built-in" order between elements of sets $X_i$ and
$X_j$. However, such an order is implied by the representation model. Our
approach does not assume commensurateness of criteria. We construct the
representation and study its uniqueness properties.


title: A Hard-core Stochastic Process with Simultaneous Births and Deaths

abstract:
  We consider a stochastic spatial point process with births and deaths on
$\mathbb{R}^d$, with the hard-core property that at any time the balls of
radius half of any two points do not overlap. We give explicit construction of
the process. Under some more conditions, we show the stochastic stability of
this Markov process by constructing a stationary regime for the dynamics. The
main tool used to construct the stationary regime is the coupling form the past
technique. Further, we study the exponential convergence of the probability
distribution to the stationary distribution.


title:
Input-output relationship in social communications characterized by
  spike train analysis

abstract:
  We study the dynamical properties of human communication through different
channels, i.e., short messages, phone calls, and emails, adopting techniques
from neuronal spike train analysis in order to characterize the temporal
fluctuations of successive inter-event times. We first measure the so-called
local variation (LV) of incoming and outgoing event sequences of users, and
find that these in- and out- LV values are positively correlated for short
messages, and uncorrelated for phone calls and emails. Second, we analyze the
response-time distribution after receiving a message to focus on the
input-output relationship in each of these channels. We find that the time
scales and amplitudes of response are different between the three channels. To
understand the impacts of the response-time distribution on the correlations
between the LV values, we develop a point process model whose activity rate is
modulated by incoming and outgoing events. Numerical simulations of the model
indicate that a quick response to incoming events and a refractory effect after
outgoing events are key factors to reproduce the positive LV correlations.


title: On the Formation of Super-Earths with Implications for the Solar System

abstract:
  We first consider how the level of turbulence in a protoplanetary disk
affects the formation locations for the observed close-in super-Earths in
exosolar systems. We find that a protoplanetary disk that includes a dead zone
(a region of low turbulence) has substantially more material in the inner parts
of the disk, possibly allowing for in situ formation. For the dead zone to last
the entire lifetime of the disk requires the active layer surface density to be
sufficiently small, <100 g/cm^2. Migration through a dead zone may be very slow
and thus super-Earth formation followed by migration towards the star through
the dead zone is less likely. For fully turbulent disks, there is not enough
material for in situ formation. However, in this case, super-Earths can form
farther out in the disk and migrate inwards on a reasonable timescale. We
suggest that both of these formation mechanisms operate in different planetary
systems. This can help to explain the observed large range in densities of
super-Earths because the formation location determines the composition.
Furthermore, we speculate that super-Earths could have formed in the inner
parts of our solar system and cleared the material in the region inside of
Mercury's orbit. The super-Earths could migrate through the gas disk and fall
into the Sun if the disk was sufficiently cool during the final gas disk
accretion process. While it is definitely possible to meet all of these
requirements, we don't expect them to occur in all systems, which may explain
why the solar system is somewhat special in its lack of super-Earths.


title: A Draft Memory Model on Spiking Neural Assemblies

abstract:
  A draft memory model (DM) for neural networks with spike propagation delay
(SNNwD) is described. Novelty in this approach are that the DM learns
immediately, with stimuli presented once, without synaptic weight changes, and
without external learning algorithm. Basal on this model is to trap spikes
within neural loops. In order to construct the DM we developed two functional
blocks, also described herein. The decoder block receives input from a single
spikes source and connect it to one among many outputs. The selector block
operates in the opposite direction, receiving many spikes sources and
connecting one of them to a single output. We realized conceptual proofs by
testing the DM in the prime numbers classifying task. This activation-based
memory can be used as immediate and short-term memory.


title: On a complete topological inverse polycyclic monoid

abstract:
  We give sufficient conditions when a topological inverse $\lambda$-polycyclic
monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological
inverse semigroups. Also, for every infinite cardinal $\lambda$ we construct
the coarsest semigroup inverse topology $\tau_{mi}$ on $P_\lambda$ and give an
example of a topological inverse monoid S which contains the polycyclic monoid
$P_2$ as a dense discrete subsemigroup.


title: Pointing the Unknown Words

abstract:
  The problem of rare and unknown words is an important issue that can
potentially influence the performance of many NLP systems, including both the
traditional count-based and the deep learning models. We propose a novel way to
deal with the rare and unseen words for the neural network models using
attention. Our model uses two softmax layers in order to predict the next word
in conditional language models: one predicts the location of a word in the
source sentence, and the other predicts a word in the shortlist vocabulary. At
each time-step, the decision of which softmax layer to use choose adaptively
made by an MLP which is conditioned on the context.~We motivate our work from a
psychological evidence that humans naturally have a tendency to point towards
objects in the context or the environment when the name of an object is not
known.~We observe improvements on two tasks, neural machine translation on the
Europarl English to French parallel corpora and text summarization on the
Gigaword dataset using our proposed model.