title: Surgery in colored tensor models

abstract:
  Rooted in group field theory and matrix models, random tensor models are a
recent background-invariant approach to quantum gravity in arbitrary
dimensions. Colored tensor models (CTM) generate random triangulated orientable
(pseudo)-manifolds. We analyze, in low dimensions, which known spaces are
triangulated by specific CTM interactions. As a tool, we develop the
graph-encoded surgery that is compatible with the structure of quantum field
theory and use it to prove that a single model, the complex
$\varphi^4$-interaction in rank-$2$, generates all orientable $2$-bordisms,
thus, in particular, also all orientable, closed surfaces. We show that certain
quartic rank-$3$ CTM, the $\varphi_3^4$-theory, has as boundary sector all
closed, possibly disconnected, orientable surfaces. Hence all closed orientable
surfaces are cobordant via manifolds generated by the $\varphi_3^4$-theory.


title: Similarity Registration Problems for 2D/3D Ultrasound Calibration

abstract:
  We propose a minimal solution for the similarity registration (rigid pose and
scale) between two sets of 3D lines, and also between a set of co-planar points
and a set of 3D lines. The first problem is solved up to 8 discrete solutions
with a minimum of 2 line-line correspondences, while the second is solved up to
4 discrete solutions using 4 point-line correspondences. We use these
algorithms to perform the extrinsic calibration between a pose tracking sensor
and a 2D/3D ultrasound (US) curvilinear probe using a tracked needle as
calibration target. The needle is tracked as a 3D line, and is scanned by the
ultrasound as either a 3D line (3D US) or as a 2D point (2D US). Since the
scale factor that converts US scan units to metric coordinates is unknown, the
calibration is formulated as a similarity registration problem. We present
results with both synthetic and real data and show that the minimum solutions
outperform the correspondent non-minimal linear formulations.


title: Vector-Like Pairs and Brill--Noether Theory

abstract:
  How likely is it that there are particles in a vector-like pair of
representations in low-energy spectrum, when neither symmetry nor anomaly
consideration motivates their presence? We address this question in the context
of supersymmetric and geometric phase compactification of F-theory and
Heterotic dual. Quantisation of the number of generations (or net chiralities
in more general term) is also discussed along the way. Self-dual nature of the
fourth cohomology of Calabi--Yau fourfolds is essential for the latter issue,
while we employ Brill--Noether theory to set upper bounds on the number $\ell$
of vector-like pairs of chiral multiplets in the SU(5) 5+5bar representations.
For typical topological choices of geometry for F-theory compactification for
SU(5) unification, the range of $0 \leq \ell \lesssim 4$ for perturbative
unification is not in immediate conflict with what is already understood about
F-theory compactification at this moment.


title:
Comments on the parallelization efficiency of the Sunway TaihuLight
  supercomputer

abstract:
  In the world of supercomputers, the large number of processors requires to
minimize the inefficiencies of parallelization, which appear as a sequential
part of the program from the point of view of Amdahl's law. The recently
suggested new figure of merit is applied to the recently presented
supercomputer, and the timeline of "Top 500" supercomputers is scrutinized
using the metric. It is demonstrated, that in addition to the computing
performance and power consumption, the new supercomputer is also excellent in
the efficiency of parallelization. Based on the suggested merit, a "Moore-law"
like observation is derived for the timeline of parallelization efficacy of
supercomputers.


title: On Regularization Parameter Estimation under Covariate Shift

abstract:
  This paper identifies a problem with the usual procedure for
L2-regularization parameter estimation in a domain adaptation setting. In such
a setting, there are differences between the distributions generating the
training data (source domain) and the test data (target domain). The usual
cross-validation procedure requires validation data, which can not be obtained
from the unlabeled target data. The problem is that if one decides to use
source validation data, the regularization parameter is underestimated. One
possible solution is to scale the source validation data through importance
weighting, but we show that this correction is not sufficient. We conclude the
paper with an empirical analysis of the effect of several importance weight
estimators on the estimation of the regularization parameter.


title:
Simulating Quantum Spin Models using Rydberg-Excited Atomic Ensembles in
  Magnetic Microtrap Arrays

abstract:
  We propose a scheme to simulate lattice spin models based on strong and
long-range interacting Rydberg atoms stored in a large-spacing array of
magnetic microtraps. Each spin is encoded in a collective spin state involving
a single $nP$ Rydberg atom excited from an ensemble of ground-state alkali
atoms prepared via Rydberg blockade. After the excitation laser is switched off
the Rydberg spin states on neighbouring lattice sites interact via general
isotropic or anisotropic spin-spin interactions. To read out the collective
spin states we propose a single Rydberg atom triggered avalanche scheme in
which the presence of a single Rydberg atom conditionally transfers a large
number of ground-state atoms in the trap to an untrapped state which can be
readily detected by site-resolved absorption imaging. Such a quantum simulator
should allow the study of quantum spin systems in almost arbitrary
two-dimensional configurations. This paves the way towards engineering exotic
spin models, such as spin models based on triangular-symmetry lattices which
can give rise to frustrated-spin magnetism.


title:
Temperature and thickness dependence of tunneling anisotropic
  magnetoresistance in exchange-biased Py/IrMn/MgO/Ta stacks

abstract:
  We investigate the thickness and temperature dependence of a series of
Ni0:8Fe0:2/Ir0:2Mn0:8 bilayer samples with varying thickness ratio of the
ferromagnet/antiferromagnet (tFM/tAFM) in order to explore the exchange
coupling strengths in tunneling anisotropic magnetoresistance (TAMR) devices.
Specific values of tFM/tAFM lead to four distinct scenarios with specific
electric responses to moderate magnetic fields. The characteristic dependence
of the measured TAMR signal on applied voltage allows us to confirm its
persistence up to room temperature despite an overlapped contribution by a
thermal magnetic noise.


title: Generalized Orbifold Construction for Conformal Nets

abstract:
  Let $\mathcal{B}$ be a conformal net. We give the notion of a proper action
of a finite hypergroup acting by vacuum preserving unital completely positive
(so-called stochastic) maps, which generalizes the proper actions of finite
groups. Taking fixed points under such an action gives a finite index subnet
$\mathcal{B}^K$ of $\mathcal{B}$, which generalizes the $G$-orbifold.
Conversely, we show that if $\mathcal{A}\subset \mathcal{B}$ is a finite
inclusion of conformal nets, then $\mathcal{A}$ is a generalized orbifold
$\mathcal{A}=\mathcal{B}^K$ of the conformal net $\mathcal{B}$ by a unique
finite hypergroup $K$. There is a Galois correspondence between intermediate
nets $\mathcal{B}^K\subset \mathcal{A} \subset \mathcal{B}$ and subhypergroups
$L\subset K$ given by $\mathcal{A}=\mathcal{B}^L$. In this case, the fixed
point of $\mathcal{B}^K\subset \mathcal{A}$ is the generalized orbifold by the
hypergroup of double cosets $L\backslash K/ L$.
  If $\mathcal{A}\subset \mathcal{B}$ is an finite index inclusion of
completely rational nets, we show that the inclusion $\mathcal{A}(I)\subset
\mathcal{B}(I)$ is conjugate to a Longo--Rehren inclusion. This implies that if
$\mathcal{B}$ is a holomorphic net, and $K$ acts properly on $\mathcal{B}$,
then there is a unitary fusion category $\mathcal{F}$ which is a
categorification of $K$ and $\mathrm{Rep}(\mathcal{B}^K)$ is braided equivalent
to the Drinfel'd center $Z(\mathcal{F})$. More generally, if $\mathcal{B}$ is
completely rational conformal net and $K$ acts properly on $\mathcal{B}$, then
there is a unitary fusion category $\mathcal{F}$ extending
$\mathrm{Rep}(\mathcal{B})$, such that $K$ is given by the double cosets of the
fusion ring of $\mathcal{F}$ by the Verlinde fusion ring of $\mathcal{B}$ and
$\mathrm{Rep}(\mathcal{B}^K)$ is braided equivalent to the M\"uger centralizer
of $\mathrm{Rep}(\mathcal{B})$ in $Z(\mathcal{F})$.

categories: math-ph hep-th math.MP math.OA math.QA math.RT


title:
Topological spin liquids in the ruby lattice with anisotropic Kitaev
  interactions

abstract:
  The ruby lattice is a four-valent lattice interpolating between honeycomb and
triangular lattices. In this work we investigate the topological spin-liquid
phases of a spin Hamiltonian with Kitaev interactions on the ruby lattice using
exact diagonalization and perturbative methods. The latter interactions
combined with the structure of the lattice yield a model with $\mathbb{Z}_2
\times \mathbb{Z}_2$ gauge symmetry. We mapped out the phase digram of the
model and found gapped and gapless spin-liquid phases. While the low energy
sector of the gapped phase corresponds to the well-known topological color code
model on a honeycomb lattice, the low-energy sector of the gapless phases is
described by an effective spin model with three-body interactions on a
triangular lattice. A gap is opened in the spectrum in a small magnetic field.
We argue that the latter phases could be possibly described by exotic
excitations, whose their spectrum is richer than the Ising phase of the Kitaev
model.


title:
Continuation semantics for multi-quantifier sentences: operation-based
  approaches

abstract:
  Classical scope-assignment strategies for multi-quantifier sentences involve
quantifier phrase (QP)-movement. More recent continuation-based approaches
provide a compelling alternative, for they interpret QP's in situ - without
resorting to Logical Forms or any structures beyond the overt syntax. The
continuation-based strategies can be divided into two groups: those that locate
the source of scope-ambiguity in the rules of semantic composition and those
that attribute it to the lexical entries for the quantifier words. In this
paper, we focus on the former operation-based approaches and the nature of the
semantic operations involved. More specifically, we discuss three such possible
operation-based strategies for multi-quantifier sentences, together with their
relative merits and costs.


title:
Welcome to the Twilight Zone: The Mid-Infrared Properties of
  Poststarburst Galaxies

abstract:
  We investigate the optical and Wide-field Survey Explorer (WISE) colors of
"E+A" identified post-starburst galaxies, including a deep analysis on 190
post-starbursts detected in the 2{\mu}m All Sky Survey Extended Source Catalog.
The post-starburst galaxies appear in both the optical green valley and the
WISE Infrared Transition Zone (IRTZ). Furthermore, we find that post-starbursts
occupy a distinct region [3.4]-[4.6] vs. [4.6]-[12] WISE colors, enabling the
identification of this class of transitioning galaxies through the use of
broad-band photometric criteria alone. We have investigated possible causes for
the WISE colors of post-starbursts by constructing a composite spectral energy
distribution (SED), finding that mid-infrared (4-12{\mu}m) properties of
post-starbursts are consistent with either 11.3{\mu}m polycyclic aromatic
hydrocarbon emission, or Thermally Pulsating Asymptotic Giant Branch (TP-AGB)
and post-AGB stars. The composite SED of extended post- starburst galaxies with
22{\mu}m emission detected with signal to noise >3 requires a hot dust
component to produce their observed rising mid-infrared SED between 12 and
22{\mu}m. The composite SED of WISE 22{\mu}m non-detections (S/N<3), created by
stacking 22{\mu}m images, is also flat, requiring a hot dust component. The
most likely source of this mid-infrared emission of these E+A galaxies is a
buried active galactic nucleus. The inferred upper limit to the Eddington
ratios of post-starbursts are 1e-2 to 1e-4, with an average of 1e-3. This
suggests that AGNs are not radiatively dominant in these systems. This could
mean that including selections able to identify active galactic nuclei as part
of a search for transitioning and post-starburst galaxies would create a more
complete census of the transition pathways taken as a galaxy quenches its star
formation.


title: Arithmetic properties of signed Selmer groups at non-ordinary primes

abstract:
  We extend many results on Selmer groups for elliptic curves and modular forms
to the non-ordinary setting. More precisely, we study the signed Selmer groups
defined using the machinery of Wach modules over $\mathbf{Z}_p$-cyclotomic
extensions. First, we provide a definition of residual and non-primitive Selmer
groups at non-ordinary primes. This allows us to extend techniques developed by
Greenberg (for $p$-ordinary elliptic curves) and Kim ($p$-supersingular
elliptic curves) to show that if two $p$-non-ordinary modular forms are
congruent to each other, then the Iwasawa invariants of their signed Selmer
groups are related in an explicit manner. Our results have several
applications. First of all, this allows us to relate the parity of the analytic
ranks of such modular forms generalizing a recent result of the first-named
author for $p$-supersingular elliptic curves. Second, we can prove a Kida-type
formula for the signed Selmer groups generalizing results of Pollack and
Weston.


title: Detection of 183 GHz water megamaser emission towards NGC 4945

abstract:
  Aim: The aim of this work is to search Seyfert 2 galaxy NGC 4945, a
well-known 22 GHz water megamaser galaxy, for water (mega)maser emission at 183
GHz. Method: We used APEX SEPIA Band 5 to perform the observations. Results: We
detected 183 GHz water maser emission towards NGC 4945 with a peak flux density
of ~3 Jy near the galactic systemic velocity. The emission spans a velocity
range of several hundred km/s. We estimate an isotropic luminosity of > 1000
Lsun, classifying the emission as a megamaser. A comparison of the 183 GHz
spectrum with that observed at 22 GHz suggests that 183 GHz emission also
arises from the active galactic nucleus (AGN) central engine. If the 183 GHz
emission originates from the circumnuclear disk, then we estimate that a
redshifted feature at 1084 km/s in the spectrum should arise from a distance of
0.022 pc from the supermassive black hole (1.6 x 10(5) Schwarzschild radii),
i.e. closer than the water maser emission previously detected at 22 GHz. This
is only the second time 183 GHz maser emission has been detected towards an AGN
central engine (the other galaxy being NGC 3079). It is also the strongest
extragalactic millimetre/submillimetre water maser detected to date.
Conclusions: Strong millimetre 183 GHz water maser emission has now been shown
to occur in an external galaxy. For NGC 4945, we believe that the maser
emission arises, or is dominated by, emission from the AGN central engine.
Emission at higher velocity, i.e. for a Keplerian disk closer to the black
hole, has been detected at 183 GHz compared with that for the 22 GHz megamaser.
This indicates that millimetre/submillimetre water masers can indeed be useful
probes for tracing out more of AGN central engine structures and dynamics than
previously probed. Future observations using ALMA Band 5 should unequivocally
determine the origin of the emission in this and other galaxies.


title: Impartial achievement games for generating generalized dihedral groups

abstract:
  We study an impartial game introduced by Anderson and Harary. This game is
played by two players who alternately choose previously-unselected elements of
a finite group. The first player who builds a generating set from the
jointly-selected elements wins. We determine the nim-numbers of this game for
generalized dihedral groups, which are of the form $\operatorname{Dih}(A)=
\mathbb{Z}_2 \ltimes A$ for a finite abelian group $A$.


title: Probing a dissipative phase transition via dynamical optical hysteresis

abstract:
  We experimentally explore the dynamic optical hysteresis of a semiconductor
microcavity as a function of the sweep time. The hysteresis area exhibits a
double power law decay due to the shot noise of the driving laser, which
triggers switching between metastable states. Upon increasing the average
photon number and approaching the thermodynamic limit, the double power law
evolves into a single power law. This algebraic behavior characterizes a
dissipative phase transition. Our findings are in good agreement with
theoretical predictions, and the present experimental approach is promising for
the exploration of critical phenomena in photonic lattices.


title: Efficient sampling-based bottleneck pathfinding over cost maps

abstract:
  We introduce a simple yet effective sampling-based planner that is tailored
for bottleneck pathfinding: Given an implicitly-defined cost map
$\mathcal{M}:\mathbb{R}^d\rightarrow \mathbb{R}$, which assigns to every point
in space a real value, we wish to find a path connecting two given points, that
minimizes the maximal value with respect to~$\mathcal{M}$. We demonstrate the
capabilities of our algorithm, which we call bottleneck tree (BTT), on several
challenging instances of the problem involving multiple agents, where it
outperforms the state-of-the-art cost-map planning technique T-RRT*. On the
theoretical side, we study the asymptotic properties of our method and consider
the special setting where the computed trajectories must be monotone in all
coordinates. This constraint arises in cases where the problem involves the
coordination of multiple agents that are restricted to forward motions along
predefined paths.


title:
The universal coefficient of the exact correlator of a large-$N$ matrix
  field theory

abstract:
  Exact expressions have been proposed for correlation functions of the
large-$N$ (planar) limit of the $(1+1)$-dimensional ${\rm SU}(N)\times {\rm
SU}(N)$ principal chiral sigma model. These were obtained with the form-factor
bootstrap. The short-distance form of the two-point function of the scaling
field $\Phi(x)$, was found to be $N^{-1}\langle {\rm Tr}\,\Phi(0)^{\dagger}
\Phi(x)\rangle=C_{2}\ln^{2}mx$, where $m$ is the mass gap, in agreement with
the perturbative renormalization group. Here we point out that the universal
coefficient $C_{2}$, is proportional to the mean first-passage time of a
L\'{e}vy flight in one dimension. This observation enables us to calculate
$C_{2}=1/16\pi$.

categories: hep-th cond-mat.dis-nn cond-mat.stat-mech hep-lat math-ph math.MP


title: Characterizing Quantum Supremacy in Near-Term Devices

abstract:
  A critical question for the field of quantum computing in the near future is
whether quantum devices without error correction can perform a well-defined
computational task beyond the capabilities of state-of-the-art classical
computers, achieving so-called quantum supremacy. We study the task of sampling
from the output distributions of (pseudo-)random quantum circuits, a natural
task for benchmarking quantum computers. Crucially, sampling this distribution
classically requires a direct numerical simulation of the circuit, with
computational cost exponential in the number of qubits. This requirement is
typical of chaotic systems. We extend previous results in computational
complexity to argue more formally that this sampling task must take exponential
time in a classical computer. We study the convergence to the chaotic regime
using extensive supercomputer simulations, modeling circuits with up to 42
qubits - the largest quantum circuits simulated to date for a computational
task that approaches quantum supremacy. We argue that while chaotic states are
extremely sensitive to errors, quantum supremacy can be achieved in the
near-term with approximately fifty superconducting qubits. We introduce cross
entropy as a useful benchmark of quantum circuits which approximates the
circuit fidelity. We show that the cross entropy can be efficiently measured
when circuit simulations are available. Beyond the classically tractable
regime, the cross entropy can be extrapolated and compared with theoretical
estimates of circuit fidelity to define a practical quantum supremacy test.


title:
Frequency of Frequencies Distributions and Size Dependent Exchangeable
  Random Partitions

abstract:
  Motivated by the fundamental problem of modeling the frequency of frequencies
(FoF) distribution, this paper introduces the concept of a cluster structure to
define a probability function that governs the joint distribution of a random
count and its exchangeable random partitions. A cluster structure, naturally
arising from a completely random measure mixed Poisson process, allows the
probability distribution of the random partitions of a subset of a population
to be dependent on the population size, a distinct and motivated feature that
makes it more flexible than a partition structure. This allows it to model an
entire FoF distribution whose structural properties change as the population
size varies. A FoF vector can be simulated by drawing an infinite number of
Poisson random variables, or by a stick-breaking construction with a finite
random number of steps. A generalized negative binomial process model is
proposed to generate a cluster structure, where in the prior the number of
clusters is finite and Poisson distributed, and the cluster sizes follow a
truncated negative binomial distribution. We propose a simple Gibbs sampling
algorithm to extrapolate the FoF vector of a population given the FoF vector of
a sample taken without replacement from the population. We illustrate our
results and demonstrate the advantages of the proposed models through the
analysis of real text, genomic, and survey data.


title:
Denoising and compression in wavelet domain via projection onto
  approximation coefficients

abstract:
  We describe a new filtering approach in the wavelet domain for image
denoising and compression, based on the projections of details subbands
coefficients (resultants of the splitting procedure, typical in wavelet domain)
onto the approximation subband coefficients (much less noisy). The new
algorithm is called Projection Onto Approximation Coefficients (POAC). As a
result of this approach, only the approximation subband coefficients and three
scalars are stored and/or transmitted to the channel. Besides, with the
elimination of the details subbands coefficients, we obtain a bigger
compression rate. Experimental results demonstrate that our approach compares
favorably to more typical methods of denoising and compression in wavelet
domain.


title:
Approach to tune near- and far-field properties of hybrid dimer
  nanoantennas via laser melting at the nanoscale

abstract:
  Asymmetric metal-dielectric nanostructures are demonstrated superior optical
properties arise from the combination of strong enhancement of their near
fields and controllable scattering characteristics which originate from
plasmonic and high-index dielectric components. Here, being inspired by the
recent experimental work [Dmitry~Zuev, \textit{et al.}, Adv. Mater.
\textbf{28}, 3087 (2016)] on a new technique for fabrication of asymmetric
hybrid nanoparticles via femtosecond laser melting at the nanoscale, we suggest
and study numerically a novel type of hybrid dimer nanoantennas. The
nanoantennas consist of asymmetric metal-dielectric (Au/Si) nanoparticles and
can allow tuning of the near- and far-field properties via laser melting of the
metal part. We demonstrate a modification of scattering properties, near
electric field distribution, normalized local density of states, and power
patters of radiation of the nanoantennas upon laser reshaping. The parameters
used to investigate these effects correspond to experimentally demonstrated
values in the recent work.


title: Anisotropic cubic curvature couplings

abstract:
  To complement recent work on tests of spacetime symmetry in gravity, cubic
curvature couplings are studied using an effective field theory description of
spacetime-symmetry breaking. The associated mass dimension 8 coefficients for
Lorentz violation studied do not result in any linearized gravity modifications
and instead are revealed in the first nonlinear terms in an expansion of
spacetime around a flat background. We consider effects on gravitational
radiation through the energy loss of a binary system and we study two-body
orbital perturbations using the post-Newtonian metric. Some effects depend on
the internal structure of the source and test bodies, thereby breaking the Weak
Equivalence Principle for self-gravitating bodies. These coefficients can be
measured in solar-system tests, while binary-pulsar systems and short-range
gravity tests are particularly sensitive.


title: Union is strength in lossy image compression

abstract:
  In this work, we present a comparison between different techniques of image
compression. First, the image is divided in blocks which are organized
according to a certain scan. Later, several compression techniques are applied,
combined or alone. Such techniques are: wavelets (Haar's basis), Karhunen-Loeve
Transform, etc. Simulations show that the combined versions are the best, with
minor Mean Squared Error (MSE), and higher Peak Signal to Noise Ratio (PSNR)
and better image quality, even in the presence of noise.


title: Enhanced Cellular Coverage and Throughput using Rateless Codes

abstract:
  Rateless codes have been shown to provide robust error correction over a wide
range of binary and noisy channels. Using a stochastic geometry model, this
paper studies the performance of rateless codes in the cellular downlink and
compares it with the performance of fixed-rate codes. For the case of Rayleigh
fading, an accurate approximation is proposed for the distribution of the
packet transmission time of $K$-bit information packets using rateless codes.
The two types of channel coding schemes are compared by evaluating the typical
user and per-user success probability and the rate. Based on both the
analytical results and simulations, the paper shows that rateless coding
provides a significant throughput gain relative to fixed-rate coding. Moreover
the benefit is not restricted to the typical user but applies to all users in
the cellular network.


title:
New wavelet-based superresolution algorithm for speckle reduction in SAR
  images

abstract:
  This paper describes a novel projection algorithm, the Projection Onto Span
Algorithm (POSA) for wavelet-based superresolution and removing speckle (in
wavelet domain) of unknown variance from Synthetic Aperture Radar (SAR) images.
Although the POSA is good as a new superresolution algorithm for image
enhancement, image metrology and biometric identification, here one will use it
like a tool of despeckling, being the first time that an algorithm of
super-resolution is used for despeckling of SAR images. Specifically, the
speckled SAR image is decomposed into wavelet subbands, POSA is applied to the
high subbands, and reconstruct a SAR image from the modified detail
coefficients. Experimental results demonstrate that the new method compares
favorably to several other despeckling methods on test SAR images.


title: On Approximating Maximum Independent Set of Rectangles

abstract:
  We study the Maximum Independent Set of Rectangles (MISR) problem: given a
set of $n$ axis-parallel rectangles, find a largest-cardinality subset of the
rectangles, such that no two of them overlap. MISR is a basic geometric
optimization problem with many applications, that has been studied extensively.
Until recently, the best approximation algorithm for it achieved an $O(\log
\log n)$-approximation factor. In a recent breakthrough, Adamaszek and Wiese
provided a quasi-polynomial time approximation scheme: a
$(1-\epsilon)$-approximation algorithm with running time
$n^{O(\operatorname{poly}(\log n)/\epsilon)}$. Despite this result, obtaining a
PTAS or even a polynomial-time constant-factor approximation remains a
challenging open problem. In this paper we make progress towards this goal by
providing an algorithm for MISR that achieves a $(1 - \epsilon)$-approximation
in time $n^{O(\operatorname{poly}(\log\log{n} / \epsilon))}$. We introduce
several new technical ideas, that we hope will lead to further progress on this
and related problems.


title: Modeling Context in Referring Expressions

abstract:
  Humans refer to objects in their environments all the time, especially in
dialogue with other people. We explore generating and comprehending natural
language referring expressions for objects in images. In particular, we focus
on incorporating better measures of visual context into referring expression
models and find that visual comparison to other objects within an image helps
improve performance significantly. We also develop methods to tie the language
generation process together, so that we generate expressions for all objects of
a particular category jointly. Evaluation on three recent datasets - RefCOCO,
RefCOCO+, and RefCOCOg, shows the advantages of our methods for both referring
expression generation and comprehension.


title: Kalman's shrinkage for wavelet-based despeckling of SAR images

abstract:
  In this paper, a new probability density function (pdf) is proposed to model
the statistics of wavelet coefficients, and a simple Kalman's filter is derived
from the new pdf using Bayesian estimation theory. Specifically, we decompose
the speckled image into wavelet subbands, we apply the Kalman's filter to the
high subbands, and reconstruct a despeckled image from the modified detail
coefficients. Experimental results demonstrate that our method compares
favorably to several other despeckling methods on test synthetic aperture radar
(SAR) images.


title:
Denoising based on wavelets and deblurring via self-organizing map for
  Synthetic Aperture Radar images

abstract:
  This work deals with unsupervised image deblurring. We present a new
deblurring procedure on images provided by low-resolution synthetic aperture
radar (SAR) or simply by multimedia in presence of multiplicative (speckle) or
additive noise, respectively. The method we propose is defined as a two-step
process. First, we use an original technique for noise reduction in wavelet
domain. Then, the learning of a Kohonen self-organizing map (SOM) is performed
directly on the denoised image to take out it the blur. This technique has been
successfully applied to real SAR images, and the simulation results are
presented to demonstrate the effectiveness of the proposed algorithms.


title:
Metastable Features of Economic Networks and Responses to Exogenous
  Shocks

abstract:
  It has been proved that network structure plays an important role in
addressing a collective behaviour. In this paper we consider a network of firms
and corporations and study its metastable features in an Ising based model. In
our model, we observe that if in a recession the government imposes a demand
shock to stimulate the network, metastable features shape its response.
Actually we find that there is a minimum bound where demand shocks with a size
below it are unable to trigger the market out from recession. We then
investigate the impact of network characteristics on this minimum bound. We
surprisingly observe that in a Watts-Strogatz network though the minimum bound
depends on the average of the degrees, when translated into the economics
language, such a bound is independent of the average degrees. This bound is
about $0.44 \Delta$GDP, where $\Delta$GDP is the gap of GDP between recession
and expansion. We examine our suggestions for the cases of the United States
and the European Union in the recent recession, and compare them with the
imposed stimulations. While stimulation in the US has been above our threshold,
in the EU it has been far below our threshold. Beside providing a minimum bound
for a successful stimulation, our study on the metastable features suggests
that in the time of crisis there is a "golden time passage" in which the
minimum bound for successful stimulation can be much lower. So, our study
strongly suggests stimulations to be started within this time passage.


title: Exploring Deep Space: Learning Personalized Ranking in a Semantic Space

abstract:
  Recommender systems leverage both content and user interactions to generate
recommendations that fit users' preferences. The recent surge of interest in
deep learning presents new opportunities for exploiting these two sources of
information. To recommend items we propose to first learn a user-independent
high-dimensional semantic space in which items are positioned according to
their substitutability, and then learn a user-specific transformation function
to transform this space into a ranking according to the user's past
preferences. An advantage of the proposed architecture is that it can be used
to effectively recommend items using either content that describes the items or
user-item ratings. We show that this approach significantly outperforms
state-of-the-art recommender systems on the MovieLens 1M dataset.


title:
Fuzzy thresholding in wavelet domain for speckle reduction in Synthetic
  Aperture Radar images

abstract:
  The application of wavelet transforms to Synthetic Aperture Radar (SAR)
imagery has improved despeckling performance. To deduce the problem of
filtering the multiplicative noise to the case of an additive noise, the
wavelet decomposition is performed on the logarithm of the image gray levels.
The detail coefficients produced by the bidimensional discrete wavelet
transform (DWT-2D) needs to be thresholded to extract out the speckle in
highest subbands. An initial threshold value is estimated according to the
noise variance. In this paper, an additional fuzzy thresholding approach for
automatic determination of the rate threshold level around the traditional
wavelet noise thresholding (initial threshold) is applied, and used for the
soft or hard-threshold performed on all the high frequency subimages. The
filtered logarithmic image is then obtained by reconstruction from the
thresholded coefficients. This process is applied a single time, and
exclusively to the first level of decomposition. The exponential function of
this reconstructed image gives the final filtered image. Experimental results
on test images have demonstrated the effectiveness of this method compared to
the most of methods in use at the moment.


title: Inclusive breakup of Borromean nuclei

abstract:
  We derive the inclusive breakup cross section of a three-fragment projectile
nuclei, $a = b +x_1 + x_2$, in the spectator model. The resulting four-body
cross section for observing $b$, is composed of the elastic breakup cross
section which contains information about the correlation between the two
participant fragments, and the inclusive non-elastic breakup cross section.
This latter cross section is found to be a non-trivial four-body generalization
of the Austern formula \cite{Austern1987}, which is proportional to a matrix
element of the form, $\langle\hat{\rho}_{{x_1},{x_2}}\left|\left[W_{{x_1}} +
W_{{x_2}} + W_{3B}\right]\right|\hat{\rho}_{{x_1}, {x_2}}\rangle$. The new
feature here is the three-body absorption, represented by the imaginary
potential, $W_{3B}$. We analyze this type of absorption and supply ideas of how
to calculate its contribution.


title: Neural shrinkage for wavelet-based SAR despeckling

abstract:
  The wavelet shrinkage denoising approach is able to maintain local regularity
of a signal while suppressing noise. However, the conventional wavelet
shrinkage based methods are not time-scale adaptive to track the local
time-scale variation. In this paper, a new type of Neural Shrinkage (NS) is
presented with a new class of shrinkage architecture for speckle reduction in
Synthetic Aperture Radar (SAR) images. The numerical results indicate that the
new method outperforms the standard filters, the standard wavelet shrinkage
despeckling method, and previous NS.


title: Pricing Weakly Model Dependent Barrier Products

abstract:
  We discuss the pricing methodology for Bonus Certificates and Barrier
Reverse-Convertible Structured Products. Pricing for a European barrier
condition is straightforward for products of both types and depends on an
efficient interpolation of observed market option pricing. Pricing products We
discuss the pricing methodology for Bonus Certificates and Barrier
Reverse-Convertible Structured Products. Pricing for a European barrier
condition is straightforward for products of both types and depends on an
efficient interpolation of observed market option pricing. Pricing products
with an American barrier condition requires stochastic modelling. We show that
for typical market parameters, this stochastic pricing problem can be
systematically reduced to evaluating only one fairly simple stochastic
parameter being the asymmetry of hitting the barrier. Eventually, pricing Bonus
Certificates and Barrier Reverse Convertibles with an American barrier
condition, shows to be dependent on stochastic modelling only within a range of
$\pm\frac{2}{3}$ of accuracy - e.g. within this accuracy limitation we can
price these products without stochastic modelling. We show that the remaining
price component is weakly dependent on the stochastic models. Combining these
together, we prove to have established an almost model independent pricing
procedure for Bonus Certificates and Barrier Reverse-Convertible Structured
Products with American barrier conditions.


title: Hamiltonian Simulation with Optimal Sample Complexity

abstract:
  We investigate the sample complexity of Hamiltonian simulation: how many
copies of an unknown quantum state are required to simulate a Hamiltonian
encoded by the density matrix of that state? We show that the procedure
proposed by Lloyd, Mohseni, and Rebentrost [Nat. Phys., 10(9):631--633, 2014]
is optimal for this task. We further extend their method to the case of
multiple input states, showing how to simulate any Hermitian polynomial of the
states provided. As applications, we derive optimal algorithms for commutator
simulation and orthogonality testing, and we give a protocol for creating a
coherent superposition of pure states, when given sample access to those
states. We also show that this sample-based Hamiltonian simulation can be used
as the basis of a universal model of quantum computation that requires only
partial swap operations and simple single-qubit states.


title:
The BRITE Constellation nanosatellite mission: Testing, commissioning
  and operations

abstract:
  BRITE (BRIght Target Explorer) Constellation, the first nanosatellite mission
applied to astrophysical research, is a collaboration among Austria, Canada and
Poland. The fleet of satellites (6 launched, 5 functioning) performs precise
optical photometry of the brightest stars in the night sky. A pioneering
mission like BRITE - with optics and instruments restricted to small volume,
mass and power in several nanosatellites, whose measurements must be
coordinated in orbit - poses many unique challenges. We discuss the technical
issues, including problems encountered during on-orbit commissioning
(especially higher-than expected sensitivity of the CCDs to particle
radiation). We describe in detail how the BRITE team has mitigated these
problems, and provide a complete overview of mission operations. This paper
serves as a template for how to effectively plan, build and operate future
low-cost niche-driven space astronomy missions.


title:
Heavy Bino Dark Matter and Collider Signals in the MSSM with Vector-like
  4th-Generation Particles

abstract:
  MSSM4G models, in which the minimal supersymmetric standard model is extended
to include vector-like copies of standard model particles, are promising
possibilities for weak-scale supersymmetry. In particular, two models, called
QUE and QDEE, realize the major virtues of supersymmetry (naturalness
consistent with the 125 GeV Higgs boson, gauge coupling unification, and
thermal relic neutralino dark matter) without the need for fine-tuned relations
between particle masses. We determine the implications of these models for dark
matter and collider searches. The QUE and QDEE models revive the possibility of
heavy Bino dark matter with mass in the range 300-700 GeV, which is not usually
considered. Dark matter direct detection cross sections are typically below
current limits, but are naturally expected above the neutrino floor and may be
seen at next-generation experiments. Indirect detection prospects are bright at
the Cherenkov Telescope Array, provided the 4th-generation leptons have mass
above 350 GeV or decay to taus. In a completely complementary way, discovery
prospects at the LHC are dim if the 4th-generation leptons are heavy or decay
to taus, but are bright for 4th-generation leptons with masses below 350 GeV
that decay either to electrons or to muons. We conclude that the combined set
of direct detection, CTA, and LHC experiments will discover or exclude these
MSSM4G models in the coming few years, assuming the Milky Way has an Einasto
dark matter profile.


title: Parameters and duality for the metaplectic geometric Langlands theory

abstract:
  We introduce the space of parameters for the metaplectic Langlands theory as
*factorization gerbes* on the affine Grassmannian, and develop metaplectic
Langlands duality in the incarnation of the metaplectic geometric Satake
functor. We formulate a conjecture in the context of the global metaplectic
Langlands theory, which is a metaplectic version of the "vanishing theorem" of
ref. Ga5 (Theorem 4.5.2 in loc. cit.)


title: Reissner-Nordstrom Solution from Weyl Transverse Gravity

abstract:
  We study classical solutions in the Weyl-transverse (WTDiff) gravity coupled
to an electro-magnetic field in four space-time dimensions. The WTDiff gravity
is invariant under both the local Weyl (conformal) transformation and the
volume preserving diffeormorphisms (transverse diffeomorphisms) and is known to
be equivalent to general relativity at least at the classical level (perhaps
even in the quantum regime). In particular, we find that only in four
space-time dimensions, the charged Reissner-Nordstrom black hole metric is a
classical solution when it is expressed in the Cartesian coordinate system.


title: Observation of optomechanical coupling in a microbottle resonator

abstract:
  In this work, we report optomechanical coupling, resolved sidebands and
phonon lasing in a solid-core microbottle resonator fabricated on a single mode
optical fiber. Mechanical modes with quality factors (Q_m) as high as 1.57*10^4
and 1.45*10^4 were observed, respectively, at the mechanical frequencies
f_m=33.7 MHz and f_m=58.9 MHz. The maximum f_m*Q_m~0.85*10^12 Hz is close to
the theoretical lower bound of 6*10^12 Hz needed to overcome thermal
decoherence for resolved-sideband cooling of mechanical motion at room
temperature, suggesting microbottle resonators as a possible platform for this
endeavor. In addition to optomechanical effects, scatter-induced mode splitting
and ringing phenomena, which are typical for high-quality optical resonances,
were also observed in a microbottle resonator.


title:
Charmonium spectrum and their electromagnetic transitions with higher
  multipole contributions

abstract:
  The charmonium spectrum is calculated with two nonrelativistic quark models,
the linear potential model and the screened potential model. Using the obtained
wavefunctions, we evaluate the electromagnetic transitions of charmonium states
up to $4S$ multiplet. The higher multipole contributions are included by a
multipole expansion of the electromagnetic interactions. Our results are in
reasonable agreement with the measurements. As conventional charmonium states,
the radiative decay properties of the newly observed charmonium-like states,
such as $X(3823)$, $X(3872)$, $X(4140/4274)$, are discussed. The $X(3823)$ as
$\psi_2(1D)$, its radiative decay properties well agree with the observations.
From the radiative decay properties of $X(3872)$, one can not exclude it as a
$\chi_{c1}(2P)$ dominant state. We also give discussions of possibly observing
the missing charmonium states in radiative transitions, which might provide
some useful references to look for them in forthcoming experiments. The higher
multipole contributions to the electromagnetic transitions are analyzed as
well. It is found that the higher contribution from the magnetic part could
give notable corrections to some E1 dominant processes by interfering with the
E1 amplitudes. Our predictions for the normalized magnetic quadrupole
amplitudes $M_2$ of the $\chi_{c1,2}(1P)\to J/\psi \gamma$ processes are in
good agreement with the recent CLEO measurements.


title: Modelling the $\gamma$-ray variability of 3C 273

abstract:
  We investigate MeV-GeV $\gamma$-ray outbursts in 3C 273 in the frame of a
time-dependent one-zone synchrotron self-Compton (SSC) model. In this model,
electrons are accelerated to extra-relativistic energy through the stochastic
particle acceleration and evolve with the time, nonthermal photons are produced
by both synchrotron and inverse Compton scattering of synchrotron photons.
Moreover, nonthermal photons during a quiescent are produced by the
relativistic electrons in the steady state and those during a outburst are
produced by the electrons whose injection rate is changed at some time
interval. We apply the model to two exceptionally luminous $\gamma$-ray
outbursts observed by the Fermi-LAT from 3C 273 in September, 2009 and obtain
the multi-wavelength spectra during the quiescent and during the outburst
states, respectively. Our results show that the time-dependent properties of
outbursts can be reproduced by adopting the appropriate injection rate function
of the electron population.


title: X-ray and gamma-ray variability of Mrk 421

abstract:
  We present an ordinary case in the momentum diffusion equation for the
electron spectrum evolution and investigate the energy spectra and time
dependent properties of flare in Mrk 421 in the frame of a time-dependent
one-zone synchrotron self-Compton model. In this model, electrons are
accelerated to extra-relativistic energy through the strong magnetic turbulence
and evolve with time, and non-thermal photons are produced by both synchrotron
and inverse Comtpon scattering off synchrotron photons. Moreover, non-thermal
photons during a pre-flare are produced by the relativistic electrons in the
steady state and those during a flare are produced by the electrons whose
injection rate is changed during some time interval. We apply the model to the
energy spectra and time-dependent properties of flares in Mrk 421 by
reproducing the pre-burst spectrum of the source and varying the injection rate
in the Bohm diffusion (q=1) and the hard sphere approximation (q=2) case,
respectively. Our results show that Bohm diffusion case leads to hard photon
spectra, and hard sphere case approximation seems to reproduce the energy
spectra and the time dependent properties of flare still better.


title: Three-dimensional charged Einstein-aether black holes and Smarr formula

abstract:
  We investigate the three-dimensional behavior of gravity coupled to a
dynamical unit timelike vector: the aether, and present two new classes of
exact charged solutions. When c_{13}=0,\Lambda'=0$, we find the solutions is
the usual BTZ black hole but now with an universal horizon. In the frame of
black hole chemistry, we then calculate the temperature of the universal
horizons and, construct the Smarr formulas and first law in the three cases:
quasi-asymptotically flat, aether asymptotically flat and quasi-BTZ black hole
spacetime. We found these universal horizons obey an exact (or slightly
modified) first law of black hole mechanics and may have an entropy and, black
hole mass can be interpreted as enthalpy of spacetime. Then the holography may
be extended to these horizons under violating Lorentz symmetry.


title:
The SAMI Galaxy Survey: the link between angular momentum and optical
  morphology

abstract:
  We investigate the relationship between stellar and gas specific angular
momentum $j$, stellar mass $M_{*}$ and optical morphology for a sample of 488
galaxies extracted from the SAMI Galaxy Survey. We find that $j$, measured
within one effective radius, monotonically increases with $M_{*}$ and that, for
$M_{*}>$10$^{9.5}$ M$_{\odot}$, the scatter in this relation strongly
correlates with optical morphology (i.e., visual classification and S\'ersic
index). These findings confirm that massive galaxies of all types lie on a
plane relating mass, angular momentum and stellar light distribution, and
suggest that the large-scale morphology of a galaxy is regulated by its mass
and dynamical state. We show that the significant scatter in the $M_{*}-j$
relation is accounted for by the fact that, at fixed stellar mass, the
contribution of ordered motions to the dynamical support of galaxies varies by
at least a factor of three. Indeed, the stellar spin parameter (quantified via
$\lambda_R$) correlates strongly with S\'ersic and concentration indices. This
correlation is particularly strong once slow-rotators are removed from the
sample, showing that late-type galaxies and early-type fast rotators form a
continuous class of objects in terms of their kinematic properties.


title: Widely-connected sets in the bucket-handle continuum

abstract:
  A connected topological space is said to be widely-connected if each of its
non-degenerate connected subsets is dense in the entire space. The object of
this paper is the construction of widely-connected subsets of the plane. We
give a completely metrizable example that answers a question of Paul Erd\H{o}s
and Howard Cook, while a similar example answers a question of Jerzy
Mioduszewski.


title:
Left-corner Methods for Syntactic Modeling with Universal Structural
  Constraints

abstract:
  The primary goal in this thesis is to identify better syntactic constraint or
bias, that is language independent but also efficiently exploitable during
sentence processing. We focus on a particular syntactic construction called
center-embedding, which is well studied in psycholinguistics and noted to cause
particular difficulty for comprehension. Since people use language as a tool
for communication, one expects such complex constructions to be avoided for
communication efficiency. From a computational perspective, center-embedding is
closely relevant to a left-corner parsing algorithm, which can capture the
degree of center-embedding of a parse tree being constructed. This connection
suggests left-corner methods can be a tool to exploit the universal syntactic
constraint that people avoid generating center-embedded structures. We explore
such utilities of center-embedding as well as left-corner methods extensively
through several theoretical and empirical examinations.
  Our primary task is unsupervised grammar induction. In this task, the input
to the algorithm is a collection of sentences, from which the model tries to
extract the salient patterns on them as a grammar. This is a particularly hard
problem although we expect the universal constraint may help in improving the
performance since it can effectively restrict the possible search space for the
model. We build the model by extending the left-corner parsing algorithm for
efficiently tabulating the search space except those involving center-embedding
up to a specific degree. We examine the effectiveness of our approach on many
treebanks, and demonstrate that often our constraint leads to better parsing
performance. We thus conclude that left-corner methods are particularly useful
for syntax-oriented systems, as it can exploit efficiently the inherent
universal constraints in languages.


title:
Eigenvalues behaviours for self-adjoint Pauli operators with unsigned
  perturbations and admissible magnetic fields

abstract:
  We investigate the behaviour of the eigenvalues of two-dimensional Pauli
operators with nonconstant magnetic fields perturbed by a sign-indefinite
decaying electric potential V. We prove new eigenvalues asymptotics.


title: Generalized Bernstein-type approximation of continuous functions

abstract:
  We derive in this short article the non-asymptotical non-uniform sharp error
estimation for the Bernstein's type approximation of continuous function based
on the modern probabilistic apparatus.


title: Continuous point symmetries in Group Field Theories

abstract:
  We discuss the notion of symmetries in non-local field theories characterized
by integro-differential equations of motion, from a geometric perspective. We
then focus on Group Field Theory (GFT) models of quantum gravity and provide a
general analysis of their continuous point symmetry transformations, including
the generalized conservation laws following from them.


title: Triangulated quotient categories revisited

abstract:
  Extriangulated categories were introduced by Nakaoka and Palu by extracting
the similarities between exact categories and triangulated categories. A notion
of mutation of subcategories in an extriangulated category is defined in this
article. Let $\cal A$ be an extension closed subcategory of an extriangulated
category $\cal C$. Then the quotient category $\cal M:=\cal{A}/\cal{X}$ carries
naturally a triangulated structure whenever $(\cal A,\cal A)$ forms an $\cal
X$-mutation pair. This result unifies many previous constructions of
triangulated quotient categories, and using it gives a classification of thick
triangulated subcategories of pretriangulated category $\cal{C}/\cal{X}$, where
$\cal X$ is functorially finite in $\cal C$. When $\cal C$ has Auslander-Reiten
translation $\tau$, we prove that for a functorially finite subcategory $\cal
X$ of $\cal C$ containing projectives and injectives, $\cal{C}/\cal{X}$ is a
triangulated category if and only if $(\cal C,\cal C)$ is $\cal X-$mutation if
and only if $\tau \underline{\cal X}=\bar{\cal X}.$ This generalizes a result
by J{\o}rgensen who proved the equivalence between the first and the third
conditions for triangulated categories. Furthermore, we show that for such a
subcategory $\cal X$ of the extriangulated category $\cal C$, $\cal C$ admits a
new extriangulated structure such that $\cal C$ is a Frobenius extriangulated
category. Applications to exact categories and triangulated categories are
given. From the applications we present examples that extriangulated categories
are neither exact categories nor triangulated categories.


title:
Observation of electromagnetically induced Talbot effect in an atomic
  system

abstract:
  We experimentally demonstrate the Talbot effect resulting from the repeated
self-reconstruction of a spatially intensity-modulated probe field under the
Fresnel near-field regime. By launching the probe beam into an optically
induced atomic lattice (established by interfering two coupling fields) inside
a rubidium vapor cell, we can obtain an diffracted probe beam pattern from an
formed electromagnetically induced grating (EIG) in a three-level
$\Lambda$-type Doppler-free atomic configuration with the assistance of
electromagnetically induced transparency (EIT). The EIG-based diffraction
pattern repeats itself at the planes of integer multiple Talbot lengths, which
agrees well with the theoretical prediction [Appl. Phys. Lett., 98, 081108
(2011)]. In addition, fractional EIT-induced Talbot effect was also
investigated. Such experimentally demonstrated EIT Talbot effect in a
coherently-prepared atomic system may pave a way for lensless and
nondestructive imaging of ultracold atoms and molecules, and further
demonstrating nonlinear/quantum beam dynamical features predicted for
established periodic optical systems.


title:
Optimization Algorithms for Catching Data Manipulators in Power System
  Estimation Loops

abstract:
  In this paper we develop a set of algorithms that can detect the identities
of malicious data-manipulators in distributed optimization loops for estimating
oscillation modes in large power system models. The estimation is posed in
terms of a consensus problem among multiple local estimators that jointly solve
for the characteristic polynomial of the network model. If any of these local
estimates are compromised by a malicious attacker, resulting in an incorrect
value of the consensus variable, then the entire estimation loop can be
destabilized. We present four iterative algorithms by which this instability
can be quickly detected, and the identities of the compromised estimators can
be revealed. The algorithms are solely based on the computed values of the
estimates, and do not need any information about the model of the power system.
Both large and covert attacks are considered. Results are illustrated using
simulations of a IEEE 68-bus power system model.


title: A geometric approach to orthogonal Higgs bundles

abstract:
  We give a geometric characterisation of the topological invariants associated
to SO(m,m+1)-Higgs bundles through KO-theory and the Langlands correspondence
between orthogonal and symplectic Hitchin systems. By defining the split
orthogonal spectral data, we obtain a natural grading of the moduli space of
SO(m,m+1)-Higgs bundles.


title: Anomaly detection in online social networks

abstract:
  Anomalies in online social networks can signify irregular, and often illegal
behaviour. Anomalies in online social networks can signify irregular, and often
illegal behaviour. Detection of such anomalies has been used to identify
malicious individuals, including spammers, sexual predators, and online
fraudsters. In this paper we survey existing computational techniques for
detecting anomalies in online social networks. We characterise anomalies as
being either static or dynamic, and as being labelled or unlabelled, and survey
methods for detecting these different types of anomalies. We suggest that the
detection of anomalies in online social networks is composed of two
sub-processes; the selection and calculation of network features, and the
classification of observations from this feature space. In addition, this paper
provides an overview of the types of problems that anomaly detection can
address and identifies key areas of future research.


title:
Formulating Semantics of Probabilistic Argumentation by Characterizing
  Subgraphs: Theory and Empirical Results

abstract:
  In existing literature, while approximate approaches based on Monte-Carlo
simulation technique have been proposed to compute the semantics of
probabilistic argumentation, how to improve the efficiency of computation
without using simulation technique is still an open problem. In this paper, we
address this problem from the following two perspectives. First, conceptually,
we define specific properties to characterize the subgraphs of a PrAG with
respect to a given extension, such that the probability of a set of arguments E
being an extension can be defined in terms of these properties, without (or
with less) construction of subgraphs. Second, computationally, we take
preferred semantics as an example, and develop algorithms to evaluate the
efficiency of our approach. The results show that our approach not only
dramatically decreases the time for computing p(E^\sigma), but also has an
attractive property, which is contrary to that of existing approaches: the
denser the edges of a PrAG are or the bigger the size of a given extension E
is, the more efficient our approach computes p(E^\sigma). Meanwhile, it is
shown that under complete and preferred semantics, the problems of determining
p(E^\sigma) are fixed-parameter tractable.


title: A Paradigm for Modeling and Computation of Gas Dynamics

abstract:
  In the continuum flow regime, the Navier-Stokes equations are usually used
for the description of gas dynamics. On the other hand, the Boltzmann equation
is applied for the rarefied gas dynamics. Both equations are constructed from
modeling flow physics in different scales. Fortunately, due to the distinct
separation of scales, i.e., the hydrodynamic and kinetic ones, both
Navier-Stokes equations and the Boltzmann equation are valid in their
respectable domains. However, in real physical application, there may not have
such a distinctive scale separation. For example, around a hypersonic flying
vehicle, the flow physics at different regions may correspond to different
regimes, where the local Knudsen number can be changed in several order of
magnitudes. With a variation of modeling scale, theoretically a continuous
governing equation from kinetic Boltzmann equation to the hydrodynamic
Navier-Stokes equations should exist. However, due to the difficulties of a
direct modeling of flow physics in the scale between the kinetic and
hydrodynamic ones, there is basically no reliable theory or valid governing
equation to cover the whole transition regime. In fact, it is an unresolved
problem about the exact scale for the validity of the NS equations as Reynolds
number decreases. The traditional computational fluid dynamics (CFD) is based
on the numerical solution of partial differential equations (PDE), and it
targets on the recovering of the exact solution of the PDEs as mesh size and
time step converging to zero. This methodology can be hardly applied here
because there is no such a complete PDE for flow physics in all scales. It may
be the time to combine the modeling and computation together without going
through the process of constructing PDEs. In other words, the CFD research is
not only to obtain the numerical solution of governing equation, but also to
construct a valid discrete governing equation to identify the flow physics in
the mesh size and time step scales. In this paper, we are going to present the
idea for the modeling and computation. This methodology leads to the unified
gas-kinetic scheme (UGKS) for flow simulation in all flow regimes. Based on
UGKS, the boundary for the validation of the Navier-Stokes equations can be
quantitatively evaluated. The combination of modeling and computation provides
a paradigm for the description of multiscale transport process.


title:
Node Placement and Distributed Magnetic Beamforming Optimization for
  Wireless Power Transfer

abstract:
  In multiple-input single-output (MISO) wireless power transfer (WPT) via
magnetic resonant coupling (MRC), multiple transmitters are deployed to enhance
the efficiency of power transfer to the electric load at a single receiver by
jointly optimizing their source currents/voltages to constructively combine the
induced magnetic fields at the receiver, known as magnetic beamforming. In
practice, since the transmitters (power chargers) are usually at fixed
locations and the receiver (e.g. mobile phone) is desired to be freely located
in a target region for wireless charging, its received power can fluctuate
significantly over locations even with adaptive magnetic beamforming applied.
To achieve uniform coverage, the transmitters need to be optimally placed in
the region, which motivates this paper. First, we derive the optimal magnetic
beamforming solution in closed-form for a distributed MISO WPT system with
given locations of the transmitters and receiver to maximize the deliverable
power to the receiver load subject to a given sum-power constraint at all
transmitters. With the optimal magnetic beamforming solution, we then jointly
optimize the locations of all transmitters to maximize the minimum power
deliverable to the receiver when it is being moved over a given one-dimensional
(1D) region, i.e., a line of finite length. Although the formulated node
placement problem is non-convex, we propose an iterative algorithm for solving
it efficiently. Extensive simulation results are provided which show the
significant performance gains by the proposed design with optimized transmitter
locations and magnetic beamforming as compared to other benchmark schemes with
non-adaptive or heuristic currents allocation and transmitters placement. Last,
we extend the node placement problem to the more general case of
two-dimensional (2D) region, and draw the key insights.


title: Entanglement entropy for free scalar fields in AdS

abstract:
  We compute entanglement entropy for free massive scalar fields in anti-de
Sitter (AdS) space. The entangling surface is a minimal surface whose boundary
is a sphere at the boundary of AdS. The entropy can be evaluated from the
thermal free energy of the fields on a topological black hole by using the
replica method. In odd-dimensional AdS, exact expressions of the Renyi entropy
$S_n$ are obtained for arbitrary $n$. We also evaluate 1-loop corrections
coming from the scalar fields to holographic entanglement entropy. Applying the
results, we compute the leading difference of entanglement entropy between two
holographic CFTs related by a renormalization group flow triggered by a double
trace deformation. The difference is proportional to the shift of a central
charge under the flow.


title: Taiwan EXperiment On NeutrinO -- History, Status and Prospects

abstract:
  We present an overview of the foundation, evolution, contributions and future
prospects of the TEXONO Collaboration and its research programs on neutrino
physics and dark matter searches at the Kuo-Sheng Reactor Neutrino Laboratory
in Taiwan and, as a founding partner of the CDEX program, at the China Jinping
Underground Laboratory in China.


title:
Collaborative Smartphone Sensing using Overlapping Coalition Formation
  Games

abstract:
  With the rapid growth of sensor technology, smartphone sensing has become an
effective approach to improve the quality of smartphone applications. However,
due to time-varying wireless channels and lack of incentives for the users to
participate, the quality and quantity of the data uploaded by the smartphone
users are not always satisfying. In this paper, we consider a smartphone
sensing system in which a platform publicizes multiple tasks, and the
smartphone users choose a set of tasks to participate in. In the traditional
non-cooperative approach with incentives, each smartphone user gets rewards
from the platform as an independent individual and the limit of the wireless
channel resources is often omitted. To tackle this problem, we introduce a
novel cooperative approach with an overlapping coalition formation game
(OCF-game) model, in which the smartphone users can cooperate with each other
to form the overlapping coalitions for different sensing tasks. We also utilize
a centralized case to describe the upper bound of the system sensing
performance. Simulation results show that the cooperative approach achieves a
better performance than the non-cooperative one in various situations.


title:
Experimental evidence that electrical fatigue failure obeys a
  generalized Coffin-Manson law

abstract:
  The empirical Coffin-Manson law has been used to characterize the low-cycle
mechanical fatigue failure of metallic materials for decades. Our experimental
studies reported in this letter have shown that the electrical fatigue failure
in dielectrics can be well described by a fitting function having the same
mathematical expression as that of the Coffin-Manson law. This observation
indicates that the physical mechanism beneath the formation and evolution of
atomic disordered structures, the key factor influencing both mechanical and
electrical fatigue, might be the same.


title: DOOMED: Direct Online Optimization of Modeling Errors in Dynamics

abstract:
  It has long been hoped that model-based control will improve tracking
performance while maintaining or increasing compliance. This hope hinges on
having or being able to estimate an accurate inverse dynamics model. As a
result, substantial effort has gone into modeling and estimating dynamics
(error) models. Most recent research has focused on learning the true inverse
dynamics using data points mapping observed accelerations to the torques used
to generate them. Unfortunately, if the initial tracking error is bad, such
learning processes may train substantially off-distribution to predict well on
actual observed acceleration rather then the desired accelerations. This work
takes a different approach. We define a class of gradient-based online learning
algorithms we term Direct Online Optimization for Modeling Errors in Dynamics
(DOOMED) that directly minimize an objective measuring the divergence between
actual and desired accelerations. Our objective is defined in terms of the true
system's unknown dynamics and is therefore impossible to evaluate. However, we
show that its gradient is measurable online from system data. We develop a
novel adaptive control approach based on running online learning to directly
correct (inverse) dynamics errors in real time using the data stream from the
robot to accurately achieve desired accelerations during execution.


title: Video Summarization in a Multi-View Camera Network

abstract:
  While most existing video summarization approaches aim to extract an
informative summary of a single video, we propose a novel framework for
summarizing multi-view videos by exploiting both intra- and inter-view content
correlations in a joint embedding space. We learn the embedding by minimizing
an objective function that has two terms: one due to intra-view correlations
and another due to inter-view correlations across the multiple views. The
solution can be obtained directly by solving one Eigen-value problem that is
linear in the number of multi-view videos. We then employ a sparse
representative selection approach over the learned embedding space to summarize
the multi-view videos. Experimental results on several benchmark datasets
demonstrate that our proposed approach clearly outperforms the
state-of-the-art.


title:
Localized electronic states at grain boundaries on the surface of
  graphene and graphite

abstract:
  Recent advances in large-scale synthesis of graphene and other 2D materials
have underscored the importance of local defects such as dislocations and grain
boundaries (GBs), and especially their tendency to alter the electronic
properties of the material. Understanding how the polycrystalline morphology
affects the electronic properties is crucial for the development of
applications such as flexible electronics, energy harvesting devices or
sensors. We here report on atomic scale characterization of several GBs and on
the structural-dependence of the localized electronic states in their vicinity.
Using low temperature scanning tunneling microscopy (STM) and spectroscopy
(STS), together with tight binding and ab initio numerical simulations we
explore GBs on the surface of graphite and elucidate the interconnection
between the local density of states (LDOS) and their atomic structure. We show
that the electronic fingerprints of these GBs consist of pronounced resonances
which, depending on the relative orientation of the adjacent crystallites,
appear either on the electron side of the spectrum or as an electron-hole
symmetric doublet close to the charge neutrality point. These two types of
spectral features will impact very differently the transport properties
allowing, in the asymmetric case to introduce transport anisotropy which could
be utilized to design novel growth and fabrication strategies to control device
performance.


title:
Identifying the chemistry of the dust around AGB stars in nearby
  galaxies

abstract:
  Asymptotic giant branch (AGB) stars are significant contributors to the
chemical enrichment of the interstellar medium (ISM) of galaxies. It is
therefore essential to constrain the AGB contribution to the dust budget in
galaxies. Recent estimates of the total dust injection rate to the Large and
Small Magellanic Clouds (LMC and SMC; Riebel et al. 2012, Boyer et al. 2012,
Srinivasan et al. in prep) have used data from the Spitzer Space Telescope SAGE
(Surveying the Agents of Galaxy Evolution; Meixner et al. 2006) and SAGE-SMC
(Gordon et al. 2011) surveys. When sorted by dust chemistry, the data allow for
a comparison of O-rich and carbonaceous dust-production rates. In the LMC, for
instance, the rate of dust production from carbon stars is about two and a half
times that from oxygen-rich AGBs. A reliable determination of the fractional
contributions of the two types of dust would serve as input to models of
chemical evolution. However, the Spitzer IRAC photometric bands do not
sufficiently probe the characteristic mid-infrared spectral features that can
distinguish O-rich AGBs from carbon stars - namely, the 9.7 $\mu$m silicate
feature and the 11.3 $\mu$m silicon carbide feature. With the continuous
spectral coverage in the 4-30 $\mu$m range, SPICA has the potential to
distinguish these two types of chemistries. In this contribution, synthetic
photometry from the model grid of AGB stars, GRAMS (Sargent et al. 2011;
Srinivasan et al. 2011) will be used to discuss the science possibilities that
SPICA might offer this study.


title:
Student self-assessment and reflection in a learner controlled
  environment

abstract:
  Students who successfully engage in self-regulated learning, are able to plan
their own studying, monitoring their progress and make any necessary
adjustments based upon the data and feedback they gather. In order to promote
this type of independent learning, a recent introductory mechanics course was
modified such that the homework and tests emphasized the planning, monitoring
and adjusting of self-regulated learning. Students were able to choose many of
their own out-of-class learning activities. Rather than collecting daily or
weekly problem set solutions, assignments were mostly progress reports where
students reported which activities they had attempted, self-assessment of their
progress and plans for their next study session. Tests included wrappers where
students were asked to reflect on their mistakes and plans for improvement.
While many students only engaged superficially the independent aspects of the
course, some did demonstrate evidence of self-regulation. Despite this lack of
engagement, students performed as well as comparable student populations on
course exam and better on the Force Concept Inventory.


title:
Extended pump-probe Faraday rotation spectroscopy of the submicrosecond
  electron spin dynamics in n-type GaAs

abstract:
  We develop an extended pump-probe Faraday rotation technique to study the
submicrosecond electron spin dynamics with picosecond time resolution in a wide
range of magnetic fields. The electron spin dephasing time $T_2^*$ and the
longitudinal spin relaxation time $T_1$, both approaching $250$ ns in weak
fields, are measured thereby in $n$-type bulk GaAs. By tailoring the pump pulse
train through increasing the contained number of pulses, the buildup of
resonant spin amplification is demonstrated for the electron spin polarization.
The spin precession amplitude in high magnetic fields applied in the Voigt
geometry shows a non-monotonic dynamics deviating strongly from a
mono-exponential decay and revealing slow beatings. The beatings indicate a two
spin component behavior with a $g$-factor difference of $\Delta g \sim
4\times10^{-4}$, much smaller than the $\Delta g$ expected for free and
donor-bound electrons. This $g$-factor variation indicates efficient, but
incomplete spin exchange averaging.


title:
Some identities of symmetry for the degenerate q-Bernoulli polynomials
  under symmetry group of degree n

abstract:
  Recently, Kim-Kim Introduced some interesting identities of symmetry for
q-Bernoulli polynomials under symmetry group of degree n. In this paper, we
study the degenerate q-Euler polynomials and derive some identities of symmetry
for these polynomials arising from the p-adic q-integral on Zp.


title: Density functionals from deep learning

abstract:
  Density-functional theory is a formally exact description of a many-body
quantum system in terms of its density; in practice, however, approximations to
the universal density functional are required. In this work, a model based on
deep learning is developed to approximate this functional. Deep learning allows
computational models that are capable of naturally discovering intricate
structure in large and/or high-dimensional data sets, with multiple levels of
abstraction. As no assumptions are made as to the form of this structure, this
approach is much more powerful and flexible than traditional approaches. As an
example application, the model is shown to perform well on approximating the
kinetic-energy density functional for noninteracting electrons. The model is
analyzed in detail, and its advantages over conventional machine learning are
discussed.


title:
Estimate of the critical exponent of the Anderson transition in the
  three and four dimensional unitary universality classes

abstract:
  Disordered non-interacting systems are classified into ten symmetry classes,
with the unitary class being the most fundamental. The three and four
dimensional unitary universality classes are attracting renewed interest
because of their relation to three dimensional Weyl semi-metals and four
dimensional topological insulators. Determining the critical exponent of the
correlation/localistion length for the Anderson transition in these classes is
important both theoretically and experimentally. Using the transfer matrix
technique, we report numerical estimations of the critical exponent in a U(1)
model in three and four dimensions.


title: A Neural Knowledge Language Model

abstract:
  Current language models have a significant limitation in the ability to
encode and decode factual knowledge. This is mainly because they acquire such
knowledge from statistical co-occurrences although most of the knowledge words
are rarely observed. In this paper, we propose a Neural Knowledge Language
Model (NKLM) which combines symbolic knowledge provided by the knowledge graph
with the RNN language model. By predicting whether the word to generate has an
underlying fact or not, the model can generate such knowledge-related words by
copying from the description of the predicted fact. In experiments, we show
that the NKLM significantly improves the performance while generating a much
smaller number of unknown words.


title: The Tukey Order and Subsets of $\omega_1$

abstract:
  One partially ordered set, $Q$, is a Tukey quotient of another, $P$, if there
is a map $\phi : P \to Q$ carrying cofinal sets of $P$ to cofinal sets of $Q$.
Two partial orders which are mutual Tukey quotients are said to be Tukey
equivalent. Let $X$ be a space and denote by $\mathcal{K}(X)$ the set of
compact subsets of $X$, ordered by inclusion. The principal object of this
paper is to analyze the Tukey equivalence classes of $\mathcal{K}(S)$
corresponding to various subspaces $S$ of $\omega_1$, their Tukey invariants,
and hence the Tukey relations between them. It is shown that $\omega^\omega$ is
a strict Tukey quotient of $\Sigma(\omega^{\omega_1})$ and thus we distinguish
between two Tukey classes out of Isbell's ten partially ordered sets. The
relationships between Tukey equivalence classes of $\mathcal{K}(S)$, where $S$
is a subspace of $\omega_1$, and $\mathcal{K}(M)$, where $M$ is a separable
metrizable space, are revealed. Applications are given to function spaces.


title: E6 inspired composite Higgs model and 750 GeV diphoton excess

abstract:
  In the E6 inspired composite Higgs model (E6CHM) the strongly interacting
sector possesses an SU(6)\times U(1)_B\times U(1)_L global symmetry. Near scale
f\gtrsim 10 TeV the SU(6) symmetry is broken down to its SU(5) subgroup, that
involves the standard model (SM) gauge group. This breakdown of SU(6) leads to
a set of pseudo--Nambu--Goldstone bosons (pNGBs) including a SM--like Higgs and
a SM singlet pseudoscalar A. Because of the interactions between A and exotic
fermions, which ensure the approximate unification of the SM gauge couplings
and anomaly cancellation in this model, the couplings of the pseudoscalar A to
gauge bosons get induced. As a result, the SM singlet pNGB state A with mass
around 750 GeV may give rise to sufficiently large cross section of pp\to
\gamma\gamma that can be identified with the recently observed diphoton excess.


title: From groups to clusters

abstract:
  We construct a new class of symmetric algebras of tame representation type
that are also the endomorphism algebras of cluster tilting objects in
2-Calabi-Yau triangulated categories, hence all their non-projective
indecomposable modules are $\Omega$-periodic of period dividing 4. Our
construction is based on the combinatorial notion of triangulation quivers,
which arise naturally from triangulations of oriented surfaces with marked
points.
  This class of algebras contains the algebras of quaternion type introduced
and studied by Erdmann with relation to certain blocks of group algebras. On
the other hand, it contains also the Jacobian algebras of the quivers with
potentials associated by Fomin-Shapiro-Thurston and Labardini-Fragoso to
triangulations of closed surfaces with punctures, hence our construction may
serve as a bridge between the modular representation theory of finite groups
and the theory of cluster algebras.


title: Modified Lorentz transformations in deformed special relativity

abstract:
  We extend a recent approach to Deformed Special Relativity based on deformed
dispersion laws, entailing modified Lorentz transformations and, at the same
time, noncommutative geometry and intrinsically discrete spacetime. In so doing
we obtain the explicit form of the modified Lorentz transformations for a
special class of modified momentum-energy relations often found in literature
and arising from elementary particle physics. Actually, our theory looks as a
very simple and natural extension of special relativity to include a momentum
cut-off at the Planck scale. In particular, the new Lorentz transformations do
imply that for high boost speed ($V \sim c$) the deformed Lorentz factor does
not diverge as in ordinary relativity, but results to be upperly bounded by a
large finite value of the order of the ratio between the Planck mass and the
particle mass. We also predict that a generic boost leaves unchanged Planck
energy and momentum, which result invariant with respect to any reference
frame.


title:
Weak Localization and Electron-electron Interactions in Few Layer Black
  Phosphorus Devices

abstract:
  Few layer phosphorene(FLP) devices are extensively studied due to its unique
electronic properties and potential applications on nano-electronics . Here we
present magnetotransport studies which reveal electron-electron interactions as
the dominant scattering mechanism in hexagonal boron nitride-encapsulated FLP
devices. From weak localization measurements, we estimate the electron
dephasing length to be 30 to 100 nm at low temperatures, which exhibits a
strong dependence on carrier density n and a power-law dependence on
temperature (~T-0.4). These results establish that the dominant scattering
mechanism in FLP is electron-electron interactions.


title:
Local index theory and the Riemann-Roch-Grothendieck theorem for complex
  flat vector bundles

abstract:
  The purpose of this paper is to give a proof of the real part of the
Riemann-Roch-Grothendieck theorem for complex flat vector bundles at the
differential form level in the even dimensional fiber case. The proof is,
roughly speaking, an application of the local family index theorem for a
perturbed twisted spin Dirac operator, a variational formula of the
Bismut-Cheeger eta form without the kernel bundle assumption in the even
dimensional fiber case, and some properties of the Cheeger-Chern-Simons class
of complex flat vector bundle.


title:
Closed 1-form on topological spaces, and Lusternik-Schnirelman type
  Category

abstract:
  This article deals with a continuous closed 1-form defined on a CW-complex.
In particular, we show Lusternik-Schnirelmann type theory on continuous closed
1-forms which is related to gradient-like flows. M.Farber defined a continuous
closed 1-form and a category with a respect to a cohomology class and
constructed a Lusternik-Schnirelman Theory for smooth closed 1-forms. We denote
about a definition of a zero-point of continuous closed 1-form and generalize
this theory to continuous closed 1-forms. It shows a relation between the
number of a zero-point of continous closed 1-form and the category with a
respect to a cohomology class, through a dynamical system on a original space,
homoclinic cycle.


title:
Defect induced magnetism and super spin glass state in reactive ion beam
  deposited nano structured AlN thin films

abstract:
  Defect induced magnetism is reported in undoped aluminium nitride thin films
deposited using reactive ion beam sputtering of aluminium in nitrogen plasma.
The films have been deposited on silicon substrate at different temperatures.
Existence of the defects in the films have been verified using room temperature
photo-luminescence measurements. Owing to nano crystalline nature of the films,
super-magnetic ground states have been observed. A cross-over from super
paramagnetic to super spin glass state has been observed as the grain density
increases. Detailed magnetisation measurements along with AC susceptibility
measurements have been used to determine the ground states in these AlN thin
films.


title: CR Singularities and Generalizations of Moser's Theorem I

abstract:
  There are proven few analogues of the Theorem of Moser using The
Approximation Theorem of Artin.


title:
Universality in the Shape Dependence of Holographic R\'enyi Entropy for
  General Higher Derivative Gravity

abstract:
  We consider higher derivative gravity and obtain universal relations for the
shape coefficients $(f_a, f_b, f_c)$ of the shape dependent universal part of
the R\'enyi entropy for four dimensional CFTs in terms of the parameters $(c,
t_2, t_4)$ of two-point and three-point functions of stress tensors. As a
consistency check, these shape coefficients $f_a$ and $f_c$ satisfy the
differential relation as derived previously for the R\'enyi entropy.
Interestingly, these holographic relations also apply to weakly coupled
conformal field theories such as theories of free fermions and vectors but are
violated by theories of free scalars. The mismatch of $f_a$ for scalars has
been observed in the literature and is due to certain delicate boundary
contributions to the modular Hamiltonian. Interestingly, we find a combination
of our holographic relations which are satisfied by all free CFTs including
scalars. We conjecture that this combined relation is universal for general
CFTs in four dimensional spacetime. Finally, we find there are similar
universal laws for holographic R\'enyi entropy in general dimensions.


title: Keyphrase Extraction using Sequential Labeling

abstract:
  Keyphrases efficiently summarize a document's content and are used in various
document processing and retrieval tasks. Several unsupervised techniques and
classifiers exist for extracting keyphrases from text documents. Most of these
methods operate at a phrase-level and rely on part-of-speech (POS) filters for
candidate phrase generation. In addition, they do not directly handle
keyphrases of varying lengths. We overcome these modeling shortcomings by
addressing keyphrase extraction as a sequential labeling task in this paper. We
explore a basic set of features commonly used in NLP tasks as well as
predictions from various unsupervised methods to train our taggers. In addition
to a more natural modeling for the keyphrase extraction problem, we show that
tagging models yield significant performance benefits over existing
state-of-the-art extraction methods.


title:
Segmented Tau Approximation for a Non-Autonomous Functional Differential
  Equation of Mixed Type

abstract:
  The segmented formulation of the Tau method is used to numerically solve the
non-autonomous forward-backward functional differential equation x'(t) =
a(t)x(t) + b(t)x(t-1) + c(t)x(t+1), where x is the unknown function, a, b, and
c are known functions. The step by step Tau method is applied to approximate
the solution of this equation by a piecewise polynomial function. A boundary
value problem is posed, numerically solved, and analyzed. Also, a novel way to
generate a set of non-autonomous problems with known analytical solution is
provided. From it, several non-autonomous problems were constructed and
resolved with the proposed method. We conclude that the good numerical results
obtained in our numerical experimentation and the relative simplicity of the
Tau method demonstrate that it is a promising strategy for numerically solving
mixed-type problems, as presented here.


title:
Fractality of wave functions on a Cayley tree: Difference between a tree
  and a locally tree-like graph without boundary

abstract:
  We investigate analytically and numerically eigenfunction statistics in a
disordered system on a finite Bethe lattice (Cayley tree). We show that the
wave function amplitude at the root of a tree is distributed fractally in a
large part of the delocalized phase. The fractal exponents are expressed in
terms of the decay rate and the velocity in a problem of propagation of a front
between unstable and stable phases. We demonstrate a crucial difference between
a loopless Cayley tree and a locally tree-like structure without a boundary
(random regular graph) where extended wavefunctions are ergodic.


title:
Scattering of flexural--gravity waves by a group of elastic plates
  floating on a stratified fluid

abstract:
  A hydroelastic problem of flexural--gravity waves scattering by a demarcation
between two floating elastic plates is investigated within the frame of linear
potential-flow theory, where the method of matched eigenfunction expansions is
employed for analysis. A generalized extension is subsequently derived to
promote the formulae to the case of multiple elastic plates on a stratified
fluid with multiple layers, which is helpful to study the hydrodynamic
behaviors of inhomogeneous floating covers as well as the effects of density
stratification in seawater. The eigenfunction expansions are numerically
calculated by an inner product technique, in which an orthogonal definition
involving an explicit differential term exhibits the effectiveness in dealing
with the multi-layer matching relations between adjacent regions covered by
different elastic plates. By use of Green's theorem, an energy conversation
relation is deduced to assure the convergence of the calculation to the
physical reality, and the high converging rates are exhibited afterwards. The
correctness of numerical results are also verified by comparing with a previous
analytical method. The details of the hydrodynamic responses of the generalized
extension, especially the impact of the fluid stratification on the inner
forces of the elastic plates, are discussed under different situations.


title: Removable sets for weighted Orlicz-Sobolev spaces

abstract:
  The aim in the present paper is to study removable sets for weighted
Orlicz-Sobolev spaces. We generalize the definition of porous sets and show
that the porous sets lying in a hyperplane are removable.


title: Iterative Visual Recognition for Learning Based Randomized Bin-Picking

abstract:
  This paper proposes a iterative visual recognition system for learning based
randomized bin-picking. Since the configuration on randomly stacked objects
while executing the current picking trial is just partially different from the
configuration while executing the previous picking trial, we consider detecting
the poses of objects just by using a part of visual image taken at the current
picking trial where it is different from the visual image taken at the previous
picking trial. By using this method, we do not need to try to detect the poses
of all objects included in the pile at every picking trial. Assuming the 3D
vision sensor attached at the wrist of a manipulator, we first explain a method
to determine the pose of a 3D vision sensor maximizing the visibility of
randomly stacked objects. Then, we explain a method for detecting the poses of
randomly stacked objects. Effectiveness of our proposed approach is confirmed
by experiments using a dual-arm manipulator where a 3D vision sensor and the
two-fingered hand attached at the right and the left wrists, respectively.


title: A forest building process on simple graphs

abstract:
  Consider the following process on a simple graph without isolated vertices:
Order the edges randomly and keep an edge if and only if it contains a vertex
which is not contained in some preceding edge. The resulting set of edges forms
a spanning forest of the graph.
  The probability of obtaining $k$ components in this process for complete
bipartite graphs is determined as well as a formula for the expected number of
components in any graph. A generic recurrence and some additional basic
properties are discussed.


title: Boundary effects and gapped dispersion in rotating fermionic matter

abstract:
  We discuss the importance of boundary effects on fermionic matter in a
rotating frame. By explicit calculations at zero temperature we show that the
scalar condensate of fermion and anti-fermion cannot be modified by the
rotation once the boundary condition is properly implemented. The situation is
qualitatively changed at finite temperature and/or in the presence of a
sufficiently strong magnetic field that supersedes the boundary effects.
Therefore, to establish an interpretation of the rotation as an effective
chemical potential, it is crucial to consider further environmental effects
such as the finite temperature and magnetic field.


title: Higher-Degree Stochastic Integration Filtering

abstract:
  We obtain a class of higher-degree stochastic integration filters (SIF) for
nonlinear filtering applications. SIF are based on stochastic spherical-radial
integration rules that achieve asymptotically exact evaluations of Gaussian
weighted multivariate integrals found in nonlinear Bayesian filtering. The
superiority of the proposed scheme is demonstrated by comparing the performance
of the proposed fifth-degree SIF against a number of existing stochastic,
quasi-stochastic and cubature (Kalman) filters. The proposed filter is
demonstrated to outperform existing filters in all cases.


title:
Leading order relativistic corrections to the dipole polarizability of
  the hydrogen molecular ions

abstract:
  The static dipole polarizability for the hydrogen molecular ions H$_2^+$,
HD$^+$, and D$_2^+$ are calculated. These new data for polarizability takes
into account the leading order relativistic corrections to the wave function of
the three-body system resulted from the Breit-Pauli Hamiltonian of $m\alpha^4$
order. Our study covers a wide range of rotational ($L=0-5$) and vibrational
($v=0-10$) states, which are of practical interest for precision spectroscopy
of the hydrogen molecular ions.


title: Crowd-sourcing NLG Data: Pictures Elicit Better Data

abstract:
  Recent advances in corpus-based Natural Language Generation (NLG) hold the
promise of being easily portable across domains, but require costly training
data, consisting of meaning representations (MRs) paired with Natural Language
(NL) utterances. In this work, we propose a novel framework for crowdsourcing
high quality NLG training data, using automatic quality control measures and
evaluating different MRs with which to elicit data. We show that pictorial MRs
result in better NL data being collected than logic-based MRs: utterances
elicited by pictorial MRs are judged as significantly more natural, more
informative, and better phrased, with a significant increase in average quality
ratings (around 0.5 points on a 6-point scale), compared to using the logical
MRs. As the MR becomes more complex, the benefits of pictorial stimuli
increase. The collected data will be released as part of this submission.


title:
Search for a stochastic gravitational wave background at 1-5 Hz with
  Torsion-bar Antenna

abstract:
  We set the first upper limit on the stochastic gravitational wave (GW)
background in the frequency range of $1-5\,\mathrm{Hz}$ using a Torsion-bar
Antenna (TOBA). A TOBA is a GW detector designed for the detection of low
frequency GWs on the ground, with two orthogonal test masses rotated by the
incident GWs. We performed a 24-hour observation run using the TOBA and set
upper limits, based on frequentist statistics and Bayesian statistics. The most
stringent values are $\Omega_\mathrm{gw}h_0^2 \leq 6.0 \times10^{18}$
(frequentist) and $\Omega_\mathrm{gw}h_0^2 \leq 1.2 \times 10^{20}$ (Bayesian)
both at $2.58\,\mathrm{Hz}$, where $h_0$ is the Hubble constant in units of
$100\,\mathrm{km/s/Mpc}$ and $\Omega_\mathrm{gw}$ is the GW energy density per
logarithmic frequency interval in units of the closure density.


title: Laser-ion acceleration via anomalous electron heating

abstract:
  Using a kilojoule class laser, we demonstrate for the first time that
high-contrast picosecond pulses are advantageous for ion acceleration. We show
that a laser pulse with optimum duration and a large focal spot accelerates
electrons beyond the ponderomotive energy. This anomalous electron heating
enables efficient ion acceleration reaching 52 MeV at an intensity of 1.2X10^19
Wcm^-2. The proton energy observed agrees quantitatively with a one-dimensional
plasma expansion model newly developed by taking the anomalous heating effect
into account. The heating process is confirmed by both measurements with an
electron spectrometer and a one-dimensional particle-in-cell simulation. By
extending the pulse duration to 6 ps, 5% energy conversion efficiency to
protons (50 J out of 1 kJ laser energy) is achieved with an intensity of
10^18-Wcm^-2. The present results are quite encouraging for realizing
ion-driven fast ignition and novel ion beamlines.


title: On rings of supersymmetric polynomials

abstract:
  We consider three types of rings of supersymmetric polynomials: polynomial
ones $\Lambda_{m,n}$, partially polynomial $\Lambda_{m,n}^{+y}$ and Laurent
supersymmetric rings $\Lambda_{m,n}^{\pm}$. For each type of rings we give
their descriptions in terms of generators and relations. As a corollary we get
for $n\ge m$ an isomorphism
$\Lambda_{m,n}^{+y}=\Lambda_{m,m}^{+y}\otimes\Lambda^{+y}_{0,n-m}$. We also
have the same sort of isomorphism for polynomial rings, but in this case the
isomorphism does not preserve the grading. For each type of rings we also
construct some natural basis consisting of Euler characters.