title:
A family of functional inequalities: Lojasiewicz inequalities and
  displacement convex functions

abstract:
  For displacement convex functionals in the probability space equip\-ped with
the Monge-Kantorovich metric we prove the equivalence between the gradient and
functional type \L oja\-sie\-wicz inequalities. \chg{We also discuss the more
general case of $\lambda$-convex functions and we provide a general convergence
theorem for the corresponding gradient dynamics. Specialising our results to
the Boltzmann entropy, we recover Otto-Villani's theorem asserting the
equivalence between logarithmic Sobolev and Talagrand's inequalities. The
choice of power-type entropies shows a new equivalence between
Gagliardo-Nirenberg inequality and a nonlinear Talagrand inequality. Some
nonconvex results and other types of equivalences are discussed.


title:
Stability of the uniqueness regime for ferromagnetic Glauber dynamics
  under non-equilibrium perturbations

abstract:
  In this paper, we prove a general result concerning finite-range, attractive
interacting particle systems on $\{-1, 1\}^{\mathbb{Z}^d}$. If the particle
system has a unique stationary measure and, in a precise sense, relaxes to this
stationary measure at an exponential rate then any small perturbation of the
dynamics also has a unique stationary measure to which it relaxes at an
exponential rate. To augment this result, we study the particular case of
Glauber dynamics for the Ising model. We show that for any non-zero external
field the dynamics converges to its unique invariant measure at an exponential
rate. Previously, this was only known for $\beta<\beta_c$ and $\beta$
sufficiently large. As a consequence, Glauber dynamics is stable to small,
non-equilibrium perturbations in the entire uniqueness phase.


title:
Influence of confining gluon configurations on the $P\to\gamma^*\gamma $
  transition form factors

abstract:
  Transition form factors $F_{P\gamma^*\gamma^{(*)}}$ of pseudoscalar mesons
are studied within the framework of the domain model of confinement, chiral
symmetry breaking and hadronization. In this model, the QCD vacuum is described
by the statistical ensemble of domain wall networks which represents the almost
everywhere homogeneous Abelian (anti-)self-dual gluon field configurations.
Calculations of the form factors are performed consistently with mass spectra
of light, heavy-light and double-heavy mesons, their weak and strong decay
constants. Influence of the nonperturbative intermediate range gluon fields on
asymptotic behaviour of pion transition form factor is of particular interest,
as it can potentially lead to the growth of $Q^2F_{\pi\gamma^*\gamma}(Q^2)$. It
is found that $Q^2F_{\pi\gamma^*\gamma}(Q^2)$ approaches a constant value at
asymptotically large $Q^2$. However, this limit differs from the standard
factorization bound, though for pion form factor complies with Belle data more
likely than with BaBar ones. At the same time the generally accepted
factorization bound is shown to be satisfied for the case of the symmetric
kinematics, $Q^2F_{P\gamma^*\gamma^*}(Q^2)$. Peculiarities of description of
$\eta$, $\eta'$ and $\eta_c$ form factors within the model are discussed in
detail.


title:
Diophantine approximation on lines in $\mathbb{C}^2$ with Gaussian prime
  constraints

abstract:
  We study the problem of Diophantine approximation on lines in $\mathbb{C}^2$
with numerators and denominators restricted to Gaussian primes.


title:
Test beam studies of the TRD prototype filled with different gas
  mixtures based on Xe, Kr, and Ar

abstract:
  Towards the end of LHC Run1, gas leaks were observed in some parts of the
Transition Radiation Tracker (TRT) of ATLAS. Due to these leaks, primary Xenon
based gas mixture was replaced with Argon based mixture in various parts.
Test-beam studies with a dedicated Transition Radiation Detector (TRD)
prototype were carried out in 2015 in order to understand transition radiation
performance with mixtures based on Argon and Krypton. We present and discuss
the results of these test-beam studies with different active gas compositions.


title: Breathing bands due to molecular order in CH3NH3PbI3

abstract:
  CH3NH3PbI3 perovskite is nowadays amongst the most promising photovoltaic
materials for energy conversion. We have studied by ab-initio calculations,
using several levels of approximation - namely density functional theory
including spin-orbit coupling and quasi-particle corrections by means of the GW
method, as well as pseudopotential self-interaction corrections -, the role of
the methylammonium orientation on the electronic structure of this perovskite.
We have considered many molecular arrangements within 2x2x2 supercells, showing
that the relative orientation of the organic molecules is responsible for a
huge band gap variation up to 2 eV. The band gap sizes are related to
distortions of the PbI3 cage, which are in turn due to electrostatic
interactions between this inorganic frame and the molecules. The strong
dependence of the band gap on the mutual molecular orientation is confirmed at
all levels of approximations. Our results suggest then that the coupling
between the molecular motion and the interactions of the molecules with the
inorganic cage could help to explain the widening of the absorption spectrum of
CH3NH3PbI3 perovskite, consistent with the observed white spectrum.


title: Multi-travelling waves for the nonlinear klein-gordon equation

abstract:
  For the nonlinear Klein-Gordon equation in R 1+d , we prove the existence of
multi-solitary waves made of any number N of decoupled bound states. This
extends the work of C{\^o}te and Mu{\~n}oz (Forum Math. Sigma 2 (2014)) which
was restricted to ground states, as were most previous similar results for
other nonlinear dispersive and wave models.


title: Physical properties of centaur (54598) Bienor from photometry

abstract:
  We present time series photometry of Bienor in four observation campaigns
from 2013 to 2016 and compare them with previous observations in the literature
dating back to 2000. The results show a remarkable decline in the amplitude of
the rotational light curve and in the absolute magnitude. This suggests that
the angle between the rotation axis and the line of sight has changed
noticeably during the last 16 years as Bienor orbits the Sun. From the light
curve amplitude data we are able to determine the orientation of the rotation
axis of Bienor ($\beta_p=50\pm3^{\circ}$, $\lambda_p=35\pm8^{\circ}$). We are
also able to constrain the $b/a$ axial ratio of a triaxial Jacobi ellipsoidal
body (with semi-axis $a>b>c$). The best fit is for $b/a=0.45\pm0.05$, which
corresponds to a density value of $594^{+47}_{-35}$ kg$\,$m$^{-3}$ under the
usual assumption of hydrostatic equilibrium and given that Bienor's rotational
period is 9.17 h. However, the absolute magnitude of Bienor at several epochs
is not well reproduced. We tested several explanations such as relaxing the
hydrostatic equilibrium constraint, a large North-South asymmetry in the
surface albedo of Bienor or even a ring system. When a ring system of similar
characteristics to those of Chariklo and Chiron is included, we can fit both
the light curve amplitude and absolute magnitude. In this case the derived
axial ratio is modified to $b/a=0.37\pm0.10$. The implied density is
$678^{+209}_{-100}$ kg$\,$m$^{-3}$. Also the existence of a ring is consistent
with the spectroscopic detection of water ice on Bienor. Nevertheless the other
explanations cannot be discarded.


title:
Study of ZrO2 Thin Films Deposited at Glancing Angle by Magnetron
  Sputtering under Varying Substrate Rotation

abstract:
  In the present work, a set of ZrO2 thin films have been deposited at 82
degree angle of deposition at several substrate rotation speeds and at 0
degree. The effect of substrate rotation on optical, structural, morphological
properties and residual stress has been studies thoroughly. Refractive index
estimated from ellipsometric measurement and suitable modeling depicts an
interesting decreasing behavior with substrate rotation and has been explained
in the light of varying columnar structure with substrate rotation. Refractive
index of GLAD ZrO2 films varies between and 1.901 to 2.011. Normally deposited
film exhibits refractive index value of 2.178 which is substantially greater
than that of GLAD films. Lowering in refractive index of glancing angle
deposited films is the attribute of dominant atomic shadowing at glancing
angles. Further, correlation length which is the representative of surface
grain size was obtained from suitable modeling of atomic force microscopy data
and it exhibits a decreasing trend with substrate rotation. The trend has also
been attributed to the varying columnar microstructure with substrate rotation.
All the glancing angle deposited ZrO2 films possess root mean square roughness
between 4.6 and 5.1 nm whereas normally deposited film depicts 1.0 nm rms
roughness. Dominant atomic shadowing is responsible for high roughness of GLAD
films. Both glancing angle and normally deposited films exhibit preferential
growth of monoclinic phase oriented in different directions. GLAD films also
depict a tetragonal peak which has been attributed to the fine nano-crystallite
size (~13 nm). Residual stress depicts a great switching from large compressive
to small tensile as the deposition angle switches from normal to glancing angle


title:
Enabling quantum non-Markovian dynamics by injection of classical
  colored noise

abstract:
  The non-Markovian nature of quantum systems recently turned to be a key
subject for investigations on open quantum system dynamics. Many studies, from
its theoretical grounding to its usefulness as a resource for quantum
information processing and experimental demonstrations, have been reported in
the literature. Typically, in these studies, a structured reservoir is required
to make non-Markovian dynamics to emerge. Here, we investigate the dynamics of
a qubit interacting with a bosonic bath and under the injection of a classical
stochastic colored noise. A canonical Lindblad-like master equation for the
system is derived, using the stochastic wavefunction formalism. Then, the
non-Markovianity of the evolution is witnessed using the Andersson, Cresser,
Hall and Li measure. We evaluate the measure for three different noises and
study the interplay between environment and noise pump necessary to generate
quantum non-Markovianity, as well as the energy balance of the system. Finally,
we discuss the possibility to experimentally implement the proposed model.


title:
The yielding transition in amorphous solids under oscillatory shear
  deformation

abstract:
  Amorphous solids are ubiquitous among natural and man-made materials. Often
used as structural materials for their attractive mechanical properties, their
utility depends critically on their response to applied stresses. Processes
underlying such mechanical response, and in particular the yielding behaviour
of amorphous solids, are not satisfactorily understood. Although studied
extensively[1-14], observed yielding behaviour can be gradual and depend
significantly on conditions of study, making it difficult to convincingly
validate existing theoretical descriptions of a sharp yielding transition[4, 6,
8, 13, 15]. Here, we employ oscillatory deformation as a reliable probe of the
yielding transition. Through extensive computer simulations for a wide range of
system sizes, we demonstrate that cyclically deformed model glasses exhibit a
sharply defined yielding transition with characteristics that are independent
of preparation history. In contrast to prevailing expectations[4, 8, 12], the
statistics of avalanches reveals no signature of the impending transition, but
exhibit dramatic, qualitative, changes in character across the transition.


title: Quons: A 3D Language for Quantum Information

abstract:
  We present a 3D, topological picture-language for quantum information. Our
approach combines charged excitations carried by strings, with topological
properties that arise from embedding the strings in the interior of a
three-dimensional manifold with boundary. A quon is a composite that acts as a
particle. Specifically a quon is a hemisphere containing a neutral pair of open
strings with opposite charge. We interpret multi-quons and their
transformations in a natural way. We obtain a new type of relation, a
string-genus "joint relation," involving both a string and the 3D manifold. We
use the joint relation to obtain a topological interpretation of the $C^{*}$
Hopf algebra relations, that are widely used in tensor networks. We obtain a 3D
representation of the Controlled NOT or CNOT gate (that is considerably simpler
than earlier work) and a 3D topological protocol for teleportation.

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


title:
Progressive Tree-like Curvilinear Structure Reconstruction with
  Structured Ranking Learning and Graph Algorithm

abstract:
  We propose a novel tree-like curvilinear structure reconstruction algorithm
based on supervised learning and graph theory. In this work we analyze image
patches to obtain the local major orientations and the rankings that correspond
to the curvilinear structure. To extract local curvilinear features, we compute
oriented gradient information using steerable filters. We then employ
Structured Support Vector Machine for ordinal regression of the input image
patches, where the ordering is determined by shape similarity to latent
curvilinear structure. Finally, we progressively reconstruct the curvilinear
structure by looking for geodesic paths connecting remote vertices in the graph
built on the structured output rankings. Experimental results show that the
proposed algorithm faithfully provides topological features of the curvilinear
structures using minimal pixels for various datasets.


title:
Millimeter Spectral Line Mapping Observations Toward Four Massive Star
  Forming HII Regions

abstract:
  We present spectral line mapping observations toward four massive
star-forming regions (Cepheus A, DR21S, S76E and G34.26+0.15), with the IRAM 30
meter telescope at 2 mm and 3 mm bands. Totally 396 spectral lines from 51
molecules, one helium recombination line, ten hydrogen recombination lines, and
16 unidentified lines were detected in these four sources. An emission line of
nitrosyl cyanide (ONCN, 14$_{0,14}$-13$_{0,13}$) was detected in G34.26+0.15,
as first detection in massive star-forming regions. We found that the
$c$-C$_{3}$H$_{2}$ and NH$_{2}$D show enhancement in shocked regions as
suggested by evidences of SiO and/or SO emission. Column density and rotational
temperature of CH$_{3}$CN were estimated with the rotational diagram method for
all four sources. Isotope abundance ratios of $^{12}$C/$^{13}$C were derived
using HC$_{3}$N and its $^{13}$C isotopologue, which were around 40 in all four
massive star-forming regions and slightly lower than the local interstellar
value ($\sim$65). $^{14}$N/$^{15}$N and $^{16}$O/$^{18}$O abundance ratios in
these sources were also derived using double isotopic method, which were
slightly lower than that in local interstellar medium. Except for Cep A,
$^{33}$S/$^{34}$S ratio in the other three targets were derived, which were
similar to that in the local interstellar medium. The column density ratios of
N(DCN)/N(HCN) and N(DCO$^{+}$)/N(HCO$^{+}$) in these sources were more than two
orders of magnitude higher than the elemental [D]/[H] ratio, which is
1.5$\times$10$ ^{-5}$. Our results show the later stage sources, G34.26+0.15 in
particular, present more molecular species than earlier stage ones. Evidence of
shock activity is seen in all stages studied.


title:
First-principles study on the magnetic properties of ordered
  Nd$_{6}$(Fe,Ga)$_{14}$ alloys

abstract:
  We studied the stable magnetic structure of ordered Nd$_{6}$Fe$_{14-x}$Ga$_x$
($x = 0, 1)$ alloys, which appears in the grain-boundary (GB) phase of Nd-Fe-B
permanent magnets, using first-principles techniques. Slight Ga doping ($x =
1$) was shown to contribute to the stabilization of an anti-ferromagnetic (AF)
state, whereas the non-doped case ($x = 0$) was revealed to favor ferromagnetic
state rather than AF state with a slight energy difference.


title:
Late time cosmology with LISA: probing the cosmic expansion with massive
  black hole binary mergers as standard sirens

abstract:
  This paper summarises the potential of the LISA mission to constrain the
expansion history of the universe using massive black hole binary mergers as
gravitational wave standard sirens. After briefly reviewing the concept of
standard siren, the analysis and methodologies of Ref. [1] are briefly outlined
to show how LISA can be used as a cosmological probe, while a selection of
results taken from Refs. [1,2] is presented in order to estimate the power of
LISA in constraining cosmological parameters.


title: Representations of unipotent reduction for SO(2n+1), II: endoscopy

abstract:
  For the groups SO(2n+1,F), where F is a p-adic field, we consider the
tempered irr{\'e}ducible representations of unipotent reduction. Lusztig has
contructed and parametrized these representations. We prove that they satisfy
the expected endoscopic identities which determine the parametrization.


title: Efficient Distinct Heavy Hitters for DNS DDoS Attack Detection

abstract:
  Motivated by a recent new type of randomized Distributed Denial of Service
(DDoS) attacks on the Domain Name Service (DNS), we develop novel and efficient
distinct heavy hitters algorithms and build an attack identification system
that uses our algorithms. Heavy hitter detection in streams is a fundamental
problem with many applications, including detecting certain DDoS attacks and
anomalies. A (classic) heavy hitter (HH) in a stream of elements is a key
(e.g., the domain of a query) which appears in many elements (e.g., requests).
When stream elements consist of a <key; subkey> pairs, (<domain; subdomain>) a
distinct heavy hitter (dhh) is a key that is paired with a large number of
different subkeys. Our dHH algorithms are considerably more practical than
previous algorithms. Specifically the new fixed-size algorithms are simple to
code and with asymptotically optimal space accuracy tradeoffs. In addition we
introduce a new measure, a combined heavy hitter (cHH), which is a key with a
large combination of distinct and classic weights. Efficient algorithms are
also presented for cHH detection. Finally, we perform extensive experimental
evaluation on real DNS attack traces, demonstrating the effectiveness of both
our algorithms and our DNS malicious queries identification system.


title:
Optimization of remote one- and two-qubit state creation via multi-qubit
  unitary transformations at sender and receiver sides

abstract:
  We study the optimization problem for remote one- and two-qubit state
creation via a homogeneous spin-1/2 communication line using the local unitary
transformations of the multi-qubit sender and extended receiver. We show that
the maximal length of a communication line used for the needed state creation
(the critical length) increases with an increase in the dimensionality of the
sender and extended receiver. The model with the sender and extended receiver
consisting of up to 10 nodes is used for the one-qubit state creation and we
consider two particular states: the almost pure state and the maximally mixed
one. Regarding the two-qubit state creation, we numerically study the
dependence of the critical length on a particular triad of independent
eigenvalues to be created, the model with four-qubit sender without an extended
receiver is used for this purpose.


title: Regularly Decomposable Tensors and Classical Spin States

abstract:
  A spin-$j$ state can be represented by a symmetric tensor of order $N=2j$ and
dimension $4$. Here, $j$ can be a positive integer, which corresponds to a
boson; $j$ can also be a positive half-integer, which corresponds to a fermion.
In this paper, we introduce regularly decomposable tensors and show that a
spin-$j$ state is classical if and only if its representing tensor is a
regularly decomposable tensor. In the even-order case, a regularly decomposable
tensor is a completely decomposable tensor but not vice versa; a completely
decomposable tensors is a sum-of-squares (SOS) tensor but not vice versa; an
SOS tensor is a positive semi-definite (PSD) tensor but not vice versa. In the
odd-order case, the first row tensor of a regularly decomposable tensor is
regularly decomposable and its other row tensors are induced by the regular
decomposition of its first row tensor. We also show that complete
decomposability and regular decomposability are invariant under orthogonal
transformations, and that the completely decomposable tensor cone and the
regularly decomposable tensor cone are closed convex cones. Furthermore, in the
even-order case, the completely decomposable tensor cone and the PSD tensor
cone are dual to each other. The Hadamard product of two completely
decomposable tensors is still a completely decomposable tensor. Since one may
apply the positive semi-definite programming algorithm to detect whether a
symmetric tensor is an SOS tensor or not, this gives a checkable necessary
condition for classicality of a spin-$j$ state. Further research issues on
regularly decomposable tensors are also raised.


title: Glider representations of group algebra filtrations of nilpotent groups

abstract:
  We continue the study of glider representations of finite groups $G$ with
given structure chain of subgroups $e \subset G_1 \subset \ldots \subset G_d =
G$. We give a characterization of irreducible gliders of essential length $e
\leq d$ which in the case of $p$-groups allows to prove some results about
classical representation theory. The paper also contains an introduction to
generalized character theory for glider representations and an extension of the
decomposition groups in the Clifford theory. Furthermore, we study irreducible
glider representations for finite nilpotent groups.


title: Realtime Predictive Maintenance with Lambda Architecture

abstract:
  Recently, IoT technologies have been progressed and applications of
maintenance area are expected. However, IoT maintenance applications are not
spread in Japan yet because of insufficient analysis of real time situation,
high cost to collect sensing data and to configure failure detection rules. In
this paper, using lambda architecture concept, we propose a maintenance
platform in which edge nodes analyze sensing data, detect anomaly, extract a
new detection rule in real time and a cloud orders maintenance automatically,
also analyzes whole data collected by batch process in detail, updates learning
model of edge nodes to improve analysis accuracy.


title: Formal Derivation and Stability Analysis of Boundary Layer Models in MHD

abstract:
  We provide a systematic derivation of boundary layer models in
magnetohydrodynamics (MHD), through an asymptotic analysis of the
incompressible MHD system. We recover classical linear models, related to the
famous Hartmann and Shercliff layers, as well as nonlinear ones, that we call
magnetic Prandtl models. We perform their linear stability analysis,
emphasizing the stabilizing effect of the magnetic field.


title: Center, centroid and subtree core of trees

abstract:
  For $n\geq 5$ and $2\leq g\leq n-3,$ consider the tree $P_{n-g,g}$ on $n$
vertices which is obtained by adding $g$ pendant vertices to one degree $1$
vertex of the path $P_{n-g}$. We call the trees $P_{n-g,g}$ as path-star trees.
We prove that over all trees on $n\geq 5$ vertices, the distance between center
and subtree core and the distance between centroid and subtree core are
maximized by some path-star trees. We also prove that the tree $P_{n-g_0,g_0}$
maximizes both the distances among all path-star trees on $n$ vertices, where
$g_0$ is the smallest positive integer such that $2^{g_0}+g_0>n-1.$


title: The $p$-spectral radius of the Laplacian

abstract:
  The $p$-spectral radius of a graph $G=(V,E)$ with adjacency matrix $A$ is
defined as $\lambda^{(p)}(G)=\max \{x^TAx : \|x\|_p=1 \}$. This parameter shows
remarkable connections with graph invariants, and has been used to generalize
some extremal problems. In this work, we extend this approach to the Laplacian
matrix $L$, and define the $p$-spectral radius of the Laplacian as
$\mu^{(p)}(G)=\max \{x^TLx : \|x\|_p=1 \}$. We show that $\mu^{(p)}(G)$ relates
to invariants such as maximum degree and size of a maximum cut. We also show
properties of $\mu^{(p)}(G)$ as a function of $p$, and a upper bound on
$\max_{G \colon |V(G)|=n} \mu^{(p)}(G)$ in terms of $n=|V|$ for $p\ge 2$, which
is attained if $n$ is even.


title:
Scattering state and bound state of scalar field in Schwarzschild
  spacetime: Exact solution

abstract:
  The main aim of this paper is twofold. (1) Exact solutions of a scalar field
in the Schwarzschild spacetime are presented. The exact wave functions of
scattering states and bound-states are presented. Besides the exact solution,
we also provide explicit approximate expressions for bound-state eigenvalues
and scattering phase shifts. (2) By virtue of the exact solutions, we give a
direct calculation for the discontinuous jump on the horizon for massive scalar
fields, while in literature such a jump is obtained from an asymptotic solution
by an analytic extension treatment.


title:
Polypolar spherical harmonic decomposition of galaxy correlators in
  redshift space: Toward testing cosmic rotational symmetry

abstract:
  We propose an efficient way to test rotational invariance in the cosmological
perturbations by use of galaxy correlation functions. In symmetry-breaking
cases, the galaxy power spectrum can have extra angular dependence in addition
to the usual one due to the redshift-space distortion, $ \hat{k} \cdot
\hat{n}$. We confirm that, via the decomposition into not the usual Legendre
basis ${\cal L}_\ell(\hat{k} \cdot \hat{n})$ but the bipolar spherical harmonic
one $\{Y_{\ell}(\hat{k}) \otimes Y_{\ell'}(\hat{n})\}_{LM}$, the
symmetry-breaking signal can be completely distinguished from the usual
isotropic one since the former yields nonvanishing $L \geq 1$ modes but the
latter is confined to the $L = 0$ one. As a demonstration, we analyze the
signatures due to primordial-origin symmetry breakings such as the well-known
quadrupolar-type and dipolar-type power asymmetries and find nonzero $L = 2$
and $1$ modes, respectively. Fisher matrix forecasts of their constraints
indicate that the $Planck$-level sensitivity could be achieved by the SDSS or
BOSS-CMASS data, and an order-of-magnitude improvement is expected in a near
future survey as PFS or Euclid by virtue of an increase in accessible Fourier
mode. Our methodology is model-independent and hence applicable to the searches
for various types of statistically anisotropic fluctuations.


title: Learning Video Object Segmentation from Static Images

abstract:
  Inspired by recent advances of deep learning in instance segmentation and
object tracking, we introduce video object segmentation problem as a concept of
guided instance segmentation. Our model proceeds on a per-frame basis, guided
by the output of the previous frame towards the object of interest in the next
frame. We demonstrate that highly accurate object segmentation in videos can be
enabled by using a convnet trained with static images only. The key ingredient
of our approach is a combination of offline and online learning strategies,
where the former serves to produce a refined mask from the previous frame
estimate and the latter allows to capture the appearance of the specific object
instance. Our method can handle different types of input annotations: bounding
boxes and segments, as well as incorporate multiple annotated frames, making
the system suitable for diverse applications. We obtain competitive results on
three different datasets, independently from the type of input annotation.


title:
Comparison of max-plus automata and joint spectral radius of tropical
  matrices

abstract:
  Weighted automata over the max-plus semiring S are closely related to
finitely generated semigroups of matrices over S. In this paper, we use results
in automata theory to study two quantities associated with sets of matrices:
the joint spectral radius and the ultimate rank. We prove that these two
quantities are not computable over the tropical semiring, i.e. there is no
algorithm that takes as input a finite set of matrices M and provides as output
the joint spectral radius (resp. the ultimate rank) of M. On the other hand, we
prove that the joint spectral radius is nevertheless approximable and we
exhibit restricted cases in which the joint spectral radius and the ultimate
rank are computable. To reach this aim, we study the problem of comparing
functions computed by weighted automata over the tropical semiring. This
problem is known to be undecidable and we prove that it remains undecidable in
some specific subclasses of automata.


title: Constraints and prospects on GW and neutrino emissions using GW150914

abstract:
  Recently, the LIGO observatory reported the first direct observation of
gravitational waves, with a signal consistent with a binary black hole merger.
This detection triggered several follow-up searches for coincident emission in
electromagnetic waves as well as neutrinos, but no such emission was found. In
this article, the implications of the non-detection of counterpart neutrinos
are investigated using general arguments. The results are interpreted with a
parameter denoting the energy emitted in neutrinos relative to the energy
emitted in gravitational waves. The bound on this parameter from the diffuse
astrophysical neutrino flux detected by the IceCube Neutrino Observatory is
discussed. It is found that, currently, the non-detection of counterpart
neutrinos puts a bound comparable to the one from the diffuse astrophysical
neutrino flux. This bound is then used to constrain the amount of matter in the
black hole binary environment. Finally, the sensitivity to this parameter in
future gravitational wave observation runs is investigated. It is shown how the
detection of one or more neutrinos from a single merger would strongly
constrain the source population and evolution.


title:
FCNs in the Wild: Pixel-level Adversarial and Constraint-based
  Adaptation

abstract:
  Fully convolutional models for dense prediction have proven successful for a
wide range of visual tasks. Such models perform well in a supervised setting,
but performance can be surprisingly poor under domain shifts that appear mild
to a human observer. For example, training on one city and testing on another
in a different geographic region and/or weather condition may result in
significantly degraded performance due to pixel-level distribution shift. In
this paper, we introduce the first domain adaptive semantic segmentation
method, proposing an unsupervised adversarial approach to pixel prediction
problems. Our method consists of both global and category specific adaptation
techniques. Global domain alignment is performed using a novel semantic
segmentation network with fully convolutional domain adversarial learning. This
initially adapted space then enables category specific adaptation through a
generalization of constrained weak learning, with explicit transfer of the
spatial layout from the source to the target domains. Our approach outperforms
baselines across different settings on multiple large-scale datasets, including
adapting across various real city environments, different synthetic
sub-domains, from simulated to real environments, and on a novel large-scale
dash-cam dataset.


title:
Uniform rectifiability, elliptic measure, square functions, and
  $\varepsilon$-approximability via an ACF monotonicity formula

abstract:
  Let $\Omega\subset\mathbb{R}^{n+1}$, $n\geq2$, be an open set with
Ahlfors-David regular boundary that satisfies the corkscrew condition. We
consider a uniformly elliptic operator $L$ in divergence form associated with a
matrix $A$ with real, merely bounded and possibly non-symmetric coefficients,
which are also locally Lipschitz and satisfy suitable Carleson type estimates.
In this paper we show that if $L^*$ is the operator in divergence form
associated with the transpose matrix of $A$, then $\partial\Omega$ is uniformly
$n$-rectifiable if and only if every bounded solution of $Lu=0$ and every
bounded solution of $L^*v=0$ in $\Omega$ is $\varepsilon$-approximmable if and
only if every bounded solution of $Lu=0$ and every bounded solution of $L^*v=0$
in $\Omega$ satisfies a suitable square-function Carleson measure estimate.
Moreover, we obtain two additional criteria for uniform rectifiability. One is
given in terms of the so-called $S<N$ estimates, and another in terms of a
suitable corona decomposition involving $L$-harmonic and $L^*$-harmonic
measures. We also prove that if $L$-harmonic measure and $L^*$-harmonic measure
satisfy a weak $A_\infty$-type condition, then $\partial \Omega$ is
$n$-uniformly rectifiable. In the process we obtain a version of
Alt-Caffarelli-Friedman monotonicity formula for a fairly wide class of
elliptic operators which is of independent interest and plays a fundamental
role in our arguments.


title:
Random nilpotent groups, polycyclic presentations, and Diophantine
  problems

abstract:
  We introduce a model of random f.g., torsion-free, $2$-step nilpotent groups
(in short, $\tau_2$-groups). To do so, we show that these are precisely the
groups that admit a presentation of the form $ \label{tau2pres_0}\langle A, C
\mid [a_i, a_j]= \prod_t {\scriptstyle c_t^{\scriptscriptstyle
\lambda_{t,i,j}}} \ (i< j), \ [A,C]=[C,C]=1\rangle,$ where $A=\{a_1, \dots,
a_n\}$, and $C=\{c_1, \dots, c_m\}$. Hence, one may select a random
$\tau_2$-group $G$ by fixing $A$ and $C$, and then randomly choosing exponents
$\lambda_{t,i,j}$ with $|\lambda_{t,i,j}|\leq \ell$, for some $\ell$.
  We prove that, if $m\geq n-1\geq 1$, then the following holds asymptotically
almost surely, as $\ell\to \infty$: The ring of integers $\mathbb{Z}$ is
e-definable in $G$, systems of equations over $\mathbb{Z}$ are reducible to
systems over $G$ (and hence they are undecidable), the maximal ring of scalars
of $G$ is $\mathbb{Z}$, $G$ is indecomposable as a direct product of
non-abelian factors, and $Z(G)=\langle C \rangle$. If, additionally, $m \leq
n(n-1)/2$, then $G$ is regular (i.e. $Z(G)\leq {\it Is}(G')$). This is not the
case if $m > n(n-1)/2$.
  In the last section of the paper we introduce similar models of random
polycyclic groups and random f.g. nilpotent groups of any nilpotency step,
possibly with torsion. We quickly see, however, that the latter yields finite
groups a.a.s.


title: Operations in the era of large distributed telescopes

abstract:
  The previous generation of astronomical instruments tended to consist of
single receivers in the focal point of one or more physical reflectors. Because
of this, most astronomical data sets were small enough that the raw data could
easily be downloaded and processed on a single machine.
  In the last decade, several large, complex Radio Astronomy instruments have
been built and the SKA is currently being designed. Many of these instruments
have been designed by international teams, and, in the case of LOFAR span an
area larger than a single country. Such systems are ICT telescopes and consist
mainly of complex software. This causes the main operational issues to be
related to the ICT systems and not the telescope hardware. However, it is
important that the operations of the ICT systems are coordinated with the
traditional operational work. Managing the operations of such telescopes
therefore requires an approach that significantly differs from classical
telescope operations.
  The goal of this session is to bring together members of operational teams
responsible for such large-scale ICT telescopes. This gathering will be used to
exchange experiences and knowledge between those teams. Also, we consider such
a meeting as very valuable input for future instrumentation, especially the SKA
and its regional centres.


title:
Are Chinese transport policies effective? A new perspective from direct
  pollution rebound effect, and empirical evidence from road transport sector

abstract:
  The air pollution has become a serious challenge in China. Emissions from
motor vehicles have been found as one main source of air pollution. Although
the Chinese government has taken numerous policies to mitigate the harmful
emissions from road transport sector, it is still uncertain for both policy
makers and researchers to know to what extent the policies are effective in the
short and long terms. Inspired by the concept and empirical results from
current literature on energy rebound effect (ERE), we first propose a new
concept of pollution rebound effect (PRE). Then, we estimate direct air PRE as
a measure for the effectiveness of the policies of reducing air pollution from
transport sector based on time-series data from the period 1986-2014. We find
that the short-term direct air PRE is -1.4105, and the corresponding long-run
PRE is -1.246. The negative results indicate that the direct air PRE does not
exist in road passenger transport sector in China, either in the short term or
in the long term during the period 1986-2014. This implies that the Chinese
transport policies are effective in terms of harmful emissions reduction in the
transport sector. This research, to the best of our knowledge, is the first
attempt to quantify the effectiveness of the transport policies in the
transitional China.


title:
China building energy consumption: definitions and measures from an
  operational perspective

abstract:
  There is an increasing awareness of the significance of Chinese building
energy consumption(BEC). However, something worth discussing is that estimate
the building energy consumption adopting the definition of life cycle or
operation. In the existing studies with various evaluation methods, the issue
about the amount of energy consumed by China buildings has not been understood.
In order to settle the disputes over the calculation of BEC, this paper
establish an appropriate accounting method of building energy to present BEC
situation in China and lay the foundation for building energy efficiency.
Adopting the conception of building operational energy consumption, we find
that the energy consumption of buildings just accounts for 15% - 16% of the
final total energy consumption in China; by contrast, the previous calculations
usually have double accounting through top-down approach if central heat-supply
of buildings was given into additional consideration.


title: What sparks the radio-loud phase of nearby quasars?

abstract:
  To better constrain the hypotheses proposed to explain why only a few quasars
are radio loud (RL), we compare the characteristics of 1958 nearby $(z\le 0.3)$
SDSS quasars, covered by the FIRST and NVSS radio surveys. Only 22\% are RL
with $\log(L_{1.4{\rm GHz}}) \ge 22.5$ W Hz$^{-1}$, the majority being compact
(C), weak radio sources (WRS), with $\log(L_{1.4{\rm GHz}}) < 24.5$ W
Hz$^{-1}$. 15\% of the RL quasars have extended radio morphologies: 3\% have a
core and a jet (J), 2\% have a core with one lobe (L), and 10\% have a core
with two lobes (T), the majority being powerful radio sources (PRS), with
$\log(L_{1.4{\rm GHz}}) \ge 24.5$ W Hz$^{-1}$. In general, RL quasars have
higher bolometric luminosities and ionisation powers than radio quiet (RQ)
quasars. The WRS have comparable black hole (BH) masses as the RQ quasars, but
higher accretion rates or radiative efficiencies. The PRS have higher BH masses
than the WRS, but comparable accretion rates or radiative efficiencies. The WRS
also have higher $FWHM_{\rm [OIII]}$ than the PRS, consistent with a coupling
of the spectral characteristics of the quasars with their radio morphologies.
Inspecting the SDSS images and applying a neighbour search algorithm reveal no
difference between the RQ and RL quasars of their host galaxies, environments,
and interaction. Our results prompt the conjecture that the phenomenon that
sparks the radio-loud phase in quasars is transient, intrinsic to the AGN, and
stochastic, due to the chaotic nature of the accretion process of matter onto
the BHs.


title:
The demand for road transport in China: imposing theoretical regularity
  and flexible functional forms selection

abstract:
  Road transport sector is found to be one of the major emitters, and
responsible for serious air pollution and huge pubic health losses. One
important parameter for determining the consequences of transport demand shocks
for the macroeconomy, air pollution and public health is the elasticity of the
demand for transport. Most published studies that use flexible functional forms
have ignored the theoretical regularity conditions implied by microeconomic
theories. Moreover, even a few studies have checked and/or imposed regularity
conditions, most of them equate curvature alone with regularity, thus ignoring
or minimizing the importance of other regularities. And then, the results
appear biased and may in fact be biased. Therefore, we select three of the most
widely used flexible functional forms, the Rotterdam model, the Almost Ideal
Demand System (AIDS), and the quadratic AIDS (QUAIDS) to investigate the demand
for road transport in China using recent annual expenditure data, over a 13
year period from 2002 to 2014, on three expenditure categories in the
transportation sector: private transportation, local transportation and
intercity transportation. Estimation shows that the AIDS model is the only
model that is able to provide theoretically consistent estimates of the
residents demand for road transport in China. Our estimates show that the
private transportation is a luxury among the transportation goods, and is
elastic in price changes relatively. The empirical results imply that the
private and the local transportation, the local and intercity transportation
are gross complements. And, the private transportation is a substitute for the
inter-city transportation, while the intercity transportation is a complement
of the private transportation.


title: How do Chinese cities grow? A distribution dynamics approach

abstract:
  This paper examines the dynamic behavior of city size using a distribution
dynamics approach with Chinese city data for the period 1984-2010. Instead of
convergence, divergence or paralleled growth, multimodality and persistence are
the dominant characteristics in the distribution dynamics of Chinese
prefectural cities. Moreover, initial city size matters, initially small and
medium-sized cities exhibit strong tendency of convergence, while large cities
show significant persistence and multimodality in the sample period.
Examination on the regional city groups shows that locational fundamentals have
important impact on the distribution dynamics of city size.


title:
The distribution dynamics of Carbon Dioxide Emission intensity across
  Chinese provinces: A weighted Approach

abstract:
  This paper examines the distribution dynamics of carbon dioxide (CO2)
emission intensity across 30 Chinese provinces using a weighted distribution
dynamics approach. The results show that CO2 emission intensity tends to
diverge during the sample period of 1995-2014. However, convergence clubs are
found in the ergodic distributions of the full sample and two sub-sample
periods. Divergence, polarization and stratification are the dominant
characteristics in the distribution dynamics. Weightings with economic and
population sizes have important impacts on current distributions and hence long
run steady distributions. Neglecting economic size may under-estimate the
deterioration in the long run steady state. The result also shows that
conditioning on space and income cannot eliminate the multimodality in the long
run distribution. However, capital intensity has important impact on the
formation of convergence clubs. Our findings have contributions in the
understanding of the spatial dynamic behaviours of CO2 emissions across Chinese
provinces, and have important policy implications for CO2 emissions reduction
in China.


title: SU(3) flavor symmetry breaking in large $N_c$ excited hyperons

abstract:
  The $1/N_c$ expansion method for studying the mass spectrum of excited
baryons is shortly reviewed together with applications to mixed symmetric
states. The $[{\bf 70, \ell^+}]$ multiplet, belonging to the $N$ = 2 band, is
reanalyzed, with emphasis on hyperons and the SU(3) symmetry breaking operators
entering the mass formula to first order. An important result is that the
hierarchy of masses as a function of strangeness is correctly reproduced for
all multiplets. Predictions for unknown excited hyperons to SU(6) $\times$ O(3)
multiplets are made.


title: Decision Theory in an Algebraic Setting

abstract:
  In decision theory an act is a function from a set of conditions to the set
of real numbers. The set of conditions is a partition in some algebra of
events. The expected value of an act can be calculated when a probability
measure is given. We adopt an algebraic point of view by substituting the
algebra of events with a finite distributive lattice and the probability
measure with a lattice valuation. We introduce a partial order on acts that
generalizes the dominance relation and show that the set of acts is a lattice
with respect to this order. Finally we analyze some different kinds of
comparison between acts, without supposing a common set of conditions for the
acts to be compared.


title:
Dark Matter, Leptogenesis, and Neutrino Mass in the Minimal Extension of
  the SM with $U(1)_{B-L}\otimes Z_{2}$

abstract:
  I suggest a minimal extension of the SM with $U(1)_{B-L}\otimes Z_{2}$. It
can simultaneously accommodate the tiny neutrino mass, cold dark mater and
baryon asymmetry besides the SM. All of the new physics arise from the
$U(1)_{B-L}$ violation at the energy scale about 1000 TeV. The model can
naturally explain the "WIMP Miracle" and elegantly achieve the leptogenesis, in
addition, some predictions of the model are possible and promising to be tested
in near future experiments.


title:
Relativistic Approximate Solutions for a Two-Term Potential:
  Riemann-Type Equation

abstract:
  Approximate analytical solutions of a two-term potential are studied for the
relativistic wave equations, namely, for the Klein-Gordon and Dirac equations.
The results are obtained by solving of a Riemann-type equation whose solution
can be written in terms of hypergeometric function $\,_{2}F_{1}(a,b;c;z)$. The
energy eigenvalue equations and the corresponding normalized wave functions are
given both for two wave equations. The results for some special cases including
the Manning-Rosen potential, the Hulth\'{e}n potential and the Coulomb
potential are also discussed by setting the parameters as required.


title: A constructive algorithm for the LLL on permutations

abstract:
  While there has been significant progress on algorithmic aspects of the
Lov\'{a}sz Local Lemma (LLL) in recent years, a noteworthy exception is when
the LLL is used in the context of random permutations. The breakthrough
algorithm of Moser & Tardos only works in the setting of independent variables,
and does not apply in this context. We resolve this by developing a randomized
polynomial-time algorithm for such applications. A noteworthy application is
for Latin transversals: the best-known general result here (Bissacot et al.,
improving on Erd\H{o}s and Spencer), states that any $n \times n$ matrix in
which each entry appears at most $(27/256)n$ times, has a Latin transversal. We
present the first polynomial-time algorithm to construct such a transversal. We
also develop RNC algorithms for Latin transversals, rainbow Hamiltonian cycles,
strong chromatic number, and hypergraph packing.
  In addition to efficiently finding a configuration which avoids bad-events,
the algorithm of Moser & Tardos has many powerful extensions and properties.
These include a well-characterized distribution on the output distribution,
parallel algorithms, and a partial resampling variant. We show that our
algorithm has nearly all of the same useful properties as the Moser-Tardos
algorithm, and present a comparison of this aspect with recent works on the LLL
in general probability spaces.


title:
A Proof of the Riemann Hypothesis and Determination of the Relationship
  Between Non- Trivial Zeros of Zeta Functions and Prime Numbers

abstract:
  This analysis which uses new mathematical methods aims at proving the Riemann
hypothesis and figuring out an approximate base for imaginary non-trivial zeros
of zeta function at very large numbers, in order to determine the path that
those numbers would take. This analysis will prove that there is a relation
links the non-trivial zeros of zeta with the prime numbers, as well as
approximately pointing out the shape of this relationship, which is going to be
a totally valid one at numbers approaching infinity.


title:
Laser beam shaping for enhanced Zero-Group Velocity Lamb modes
  generation

abstract:
  Optimization of Lamb modes induced by laser can be achieved by adjusting the
spatial source distribution to the mode wavelength ($\lambda$). The
excitability of Zero-Group Velocity (ZGV) resonances in isotropic plates is
investigated both theoretically and experimentally for axially symmetric
sources. Optimal parameters and amplitude gains are derived analytically for
spot and annular sources of either Gaussian or rectangular energy profiles. For
a Gaussian spot source, the optimal radius is found to be $\lambda_{ZGV}/\pi$.
Annular sources increase the amplitude by at least a factor of 3 compared to
the optimal Gaussian source. Rectangular energy profiles provide higher gain
than Gaussian ones. These predictions are confirmed by semi-analytical
simulation of the thermoelastic generation of Lamb waves, including the effect
of material attenuation. Experimentally, Gaussian ring sources of controlled
width and radius are produced with an axicon-lens system. Measured optimal
geometric parameters obtained for Gaussian and annular beams are in good
agreement with theoretical predictions. A ZGV resonance amplification factor of
2.1 is obtained with the Gaussian ring. Such source should facilitate the
inspection of highly attenuating plates made of low ablation threshold
materials like composites.


title:
Evaluating the Performance of ANN Prediction System at Shanghai Stock
  Market in the Period 21-Sep-2016 to 11-Oct-2016

abstract:
  This research evaluates the performance of an Artificial Neural Network based
prediction system that was employed on the Shanghai Stock Exchange for the
period 21-Sep-2016 to 11-Oct-2016. It is a follow-up to a previous paper in
which the prices were predicted and published before September 21. Stock market
price prediction remains an important quest for investors and researchers. This
research used an Artificial Intelligence system, being an Artificial Neural
Network that is feedforward multi-layer perceptron with error backpropagation
for prediction, unlike other methods such as technical, fundamental or time
series analysis. While these alternative methods tend to guide on trends and
not the exact likely prices, neural networks on the other hand have the ability
to predict the real value prices, as was done on this research. Nonetheless,
determination of suitable network parameters remains a challenge in neural
network design, with this research settling on a configuration of 5:21:21:1
with 80% training data or 4-year of training data as a good enough model for
stock prediction, as already determined in a previous research by the author.
The comparative results indicate that neural network can predict typical stock
market prices with mean absolute percentage errors that are as low as 1.95%
over the ten prediction instances that was studied in this research.


title:
Cohomological Laplace transform on non-convex cones and Hardy spaces of
  $\bar{\partial}$-cohomology on non-convex tube domains

abstract:
  We consider a class of non-convex cones $V$ in $\mathbb{R}^n$ which can be
presented as (not unique) union of convex cones of some codimension $q$ which
we call the index of non-convexity. This class contains non-convex symmetric
homogeneous cones studied by the first author and his collaborators. For these
cones we consider a construction of dual non-convex cones $V^*$ and
corresponding non-convex tubes $T$ and define a cohomological Laplace transform
from functions at $V$ to $q$-dimensional cohomology of $T$ using the language
of smoothly parameterized \u{C}ech cohomology. We give a construction of Hardy
space of $q$-dimensional cohomolgy at $T$.


title: Mesoscopic scales in hierarchical configuration models

abstract:
  To understand mesoscopic scaling in networks, we study the hierarchical
configuration model (HCM), a random graph model with community structure. The
connections between the communities are formed as in a configuration model. We
study the component sizes of the hierarchical configuration model at
criticality when the inter-community degrees have a finite third moment. We
find the conditions on the community sizes such that the critical component
sizes of the HCM behave similarly as in the configuration model. Furthermore,
we study critical bond percolation on the HCM. We show that the ordered
components of a critical HCM on $N$ vertices are of sizes $O(N^{2/3})$. More
specifically, the rescaled component sizes converge to the excursions of a
Brownian motion with parabolic drift, as for the scaling limit for the
configuration model under a finite third moment condition.


title:
Magnetic field structure in single late-type giants: The weak G-band
  giant 37 Comae from 2008 to 2011

abstract:
  This work studies the magnetic activity of the late-type giant 37 Com. This
star belongs to the group of weak G-band stars that present very strong carbon
deficiency in their photospheres. The paper is a part of a global investigation
into the properties and origin of magnetic fields in cool giants.
  We use spectropolarimetric data, which allows the simultaneous measurement of
the longitudinal magnetic field $B_{l}$, line activity indicators (H$\alpha$,
Ca\,{\sc ii} IRT, S-index) and radial velocity of the star, and consequently
perform a direct comparison of their time variability. Mean Stokes V profiles
are extracted using the least squares deconvolution (LSD) method. One map of
the surface magnetic field of the star is reconstructed via the Zeeman Doppler
imaging (ZDI) inversion technique.
  A periodogram analysis is performed on our dataset and it reveals a rotation
period of 111 days. We interpret this period to be the rotation period of 37
Com. The reconstructed magnetic map reveals that the structure of the surface
magnetic field is complex and features a significant toroidal component. The
time variability of the line activity indicators, radial velocity and magnetic
field $B_{l}$ indicates a possible evolution of the surface magnetic structures
in the period from 2008 to 2011. For completeness of our study, we use
customized stellar evolutionary models suited to a weak G-band star. Synthetic
spectra are also calculated to confirm the peculiar abundance of 37 Com.
  We deduce that 37 Com is a 6.5~$M_{\odot}$ weak G-band star located in the
Hertzsprung gap, whose magnetic activity is probably due to dynamo action.


title: Lov\'asz-Schrijver PSD-operator on Claw-Free Graphs

abstract:
  The subject of this work is the study of $\LS_+$-perfect graphs defined as
those graphs $G$ for which the stable set polytope $\stab(G)$ is achieved in
one iteration of Lov\'asz-Schrijver PSD-operator $\LS_+$, applied to its edge
relaxation $\estab(G)$. In particular, we look for a polyhedral relaxation of
$\stab(G)$ that coincides with $\LS_+(\estab(G))$ and $\stab(G)$ if and only if
$G$ is $\LS_+$-perfect. An according conjecture has been recently formulated
($\LS_+$-Perfect Graph Conjecture); here we verify it for the well-studied
class of claw-free graphs.


title: Epsilon-noncrossing partitions and cumulants in free probability

abstract:
  Motivated by recent work on mixtures of classical and free probabilities, we
introduce and study the notion of $\epsilon$-noncrossing partitions. It is
shown that the set of such partitions forms a lattice, which interpolates as a
poset between the poset of partitions and the one of noncrossing partitions.
Moreover, $\epsilon$-cumulants are introduced and shown to characterize the
notion of $\epsilon$-independence.


title:
Convergence rate of the data-independent $P$-greedy algorithm in
  kernel-based approximation

abstract:
  Kernel-based methods provide flexible and accurate algorithms for the
reconstruction of functions from meshless samples. A major question in the use
of such methods is the influence of the samples locations on the behavior of
the approximation, and feasible optimal strategies are not known for general
problems.
  Nevertheless, efficient and greedy point-selection strategies are known. This
paper gives a proof of the convergence rate of the data-independent
\textit{$P$-greedy} algorithm, based on the application of the convergence
theory for greedy algorithms in reduced basis methods. The resulting rate of
convergence is shown to be near-optimal in the case of kernels generating
Sobolev spaces.
  As a consequence, this convergence rate proves that, for kernels of Sobolev
spaces, the points selected by the algorithm are asymptotically uniformly
distributed, as conjectured in the paper where the algorithm has been
introduced.


title: Deformation quantization and the action of Poisson vector fields

abstract:
  As one knows, for every Poisson manifold $M$ there exists a formal
noncommutative deformation of the algebra of functions on it; it is determined
in a unique way (up to an equivalence relation) by the given Poisson bivector.
Let a Lie algebra $\mathfrak g$ act by derivations on the functions on $M$. The
main question, which we shall address in this paper is whether it is possible
to lift this action to the derivations on the deformed algebra. It is easy to
see, that when dimension of $\mathfrak g$ is $1$, the only necessary and
sufficient condition for this is that the given action is by Poisson vector
fields. However, when dimension of $\mathfrak g$ is greater than $1$, the
previous methods do not work. In this paper we show how one can obtain a series
of homological obstructions for this problem, which vanish if there exists the
necessary extension.


title:
Simulation of Dynamical Systems with Interval Analysis: A case study of
  RLC Circuit

abstract:
  Differences between computer simulation of dynamical systems and laboratory
experiments are common in teaching and research in engineering. Normally,
numerical inaccuracy and the non-ideal behaviour of the devices involved in the
experiment are the most common explanations. With the application of interval
analysis, it is possible to incorporate the numerical and parametric
uncertainties in the simulation, allowing a better understanding of the play
between simulation and experiment. This article presents a case study in which
an step input is applied to an RLC circuit. Using the toolbox Intlab for
Matlab, it was possible to present a computer simulation with the range that
encompasses the experimental results . Comparison of simulation with
experimental data show the success of the technique and indicates a potential
content to be delivered to undergraduate engineering courses.


title: Domain knowledge assisted cyst segmentation in OCT retinal images

abstract:
  3D imaging modalities are becoming increasingly popular and relevant in
retinal imaging owing to their effectiveness in highlighting structures in
sub-retinal layers. OCT is one such modality which has great importance in the
context of analysis of cystoid structures in subretinal layers. Signal to noise
ratio(SNR) of the images obtained from OCT is less and hence automated and
accurate determination of cystoid structures from OCT is a challenging task. We
propose an automated method for detecting/segmenting cysts in 3D OCT volumes.
The proposed method is biologically inspired and fast aided by the domain
knowledge about the cystoid structures. An ensemble learning methodRandom
forests is learnt for classification of detected region into cyst region. The
method achieves detection and segmentation in a unified setting. We believe the
proposed approach with further improvements can be a promising starting point
for more robust approach. This method is validated against the training set
achieves a mean dice coefficient of 0.3893 with a standard deviation of 0.2987


title:
Formation of Hubbard-like bands as a fingerprint of strong
  electron-electron interactions in FeSe

abstract:
  We use angle-resolved photo-emission spectroscopy (ARPES) to explore the
electronic structure of single crystals of FeSe over a wide range of binding
energies and study the effects of strong electron-electron correlations. We
provide evidence for the existence of "Hubbard-like bands" at high binding
energies consisting of incoherent many-body excitations originating from Fe
$3d$ states in addition to the renormalized quasiparticle bands near the Fermi
level. Many high energy features of the observed ARPES data can be accounted
for when incorporating effects of strong local Coulomb interactions in
calculations of the spectral function via dynamical mean-field theory,
including the formation of a Hubbard-like band. This shows that over the energy
scale of several eV, local correlations arising from the on-site Coulomb
repulsion and Hund's coupling are essential for a proper understanding of the
electronic structure of FeSe and other related iron based superconductors.


title:
Quasi-periodic pulsations with periods that change depending on whether
  the pulsations have thermal or nonthermal components

abstract:
  Context. Quasi-periodic pulsations (QPPs) typically display periodic and
regular peaks in the light curves during the flare emissions. Sometimes, QPPs
show multiple periods at the same wavelength. However, changing periods in
various channels are rare. Aims. We report QPPs in a solar flare on 2014
October 27. They showed a period change that depended on whether thermal or
nonthermal components were included. The flare was simultaneously observed by
many instruments. Methods. Using the fast Fourier transform (FFT), we
decomposed the light curves at multiple wavelengths into slowly varying and
rapidly varying signals. Then we identified the QPPs as the regular and
periodic peaks from the rapidly varying signals. The periods are derived with
the wavelet method and confirmed based on the FFT spectra of the rapidly
varying signals. Results. We find a period of 50 s from the thermal emissions
during the impulsive phase of the flare, that is, in the soft X-ray bands. At
the same time, a period of about 100 s is detected from the nonthermal
emissions, such as hard X-ray and microwave channels. The period ratio is
exactly 2.0, which might be due to the modulations of the magnetic reconnection
rate by the fundamental and harmonic modes of magnetohydrodynamic waves. Our
results further show that the 100 s period is present over a broad wavelength,
such as hard X-rays, extreme-UV/UV, and microwave emissions, indicating the
periodic magnetic reconnection in this flare. Conclusions. To our knowledge,
this is the first report about period changes from thermal to nonthermal
components in a single flare that occur at almost the same time. This new
observational finding could be a challenge to the theory of flare QPPs.


title: QCD Vacuum as Domain Wall Network

abstract:
  Domain model of confinement, chiral symmetry breaking and hadronization is
based on description of QCD vacuum gluon configurations as an ensemble of
almost everywhere homogeneous Abelian (anti-)self-dual fields. The ensemble can
be explicitly constructed as domain wall network. We shortly overview this
approach and within this framework discuss the effects of QCD vacuum
polarization by strong electromagnetic fields. It is stressed that such
polarization effects can play the role of trigger for deconfinement.


title:
Global attractor of the three dimensional primitive equations of
  large-scale ocean and atmosphere dynamics in an unbounded domain

abstract:
  This paper is concerned with the long-time behavior of solutions for the
three dimensional primitive equations of large-scale ocean and atmosphere
dynamics in an unbounded domain. Since the Sobolev embedding is no longer
compact in an unbounded domain, we cannot obtain the asymptotical compactness
of the semigroup generated by problem (2.4)-(2.6) by the Sobolev compactness
embedding theorem even if we obtain the existence of an absorbing set in more
regular phase space. To overcome this difficulty, we first prove the
asymptotical compactness in a weak phase space of the semigroup generated by
problem (2.4)-(2.6) by combining the tail-estimates and the energy methods.
Thanks to the existence of an absorbing set in more regular phase space, we
establish the existence of a global attractor of problem (2.4)-(2.6) by virtue
of Sobolev interpolation inequality.


title: The unspeakable why

abstract:
  For years, the biggest unspeakable in quantum theory has been why quantum
theory and what is quantum theory telling us about the world. Recent efforts
are unveiling a surprisingly simple answer. Here we show that two
characteristic limits of quantum theory, the maximum violations of
Clauser-Horne-Shimony-Holt and Klyachko-Can-Binicio\u{g}lu-Shumovsky
inequalities, are enforced by a simple principle. The effectiveness of this
principle suggests that non-realism is the key that explains why quantum
theory.


title: Power Spectrum Identification for Quantum Linear Systems

abstract:
  In this paper we investigate system identification for general quantum linear
systems. We consider the situation where the input field is prepared as
stationary (squeezed) quantum noise. In this regime the output field is
characterised by the power spectrum, which encodes covariance of the output
state. We address the following two questions: (1) Which parameters can be
identified from the power spectrum? (2) How to construct a system realisation
from the power spectrum? The power spectrum depends on the system parameters
via the transfer function. We show that the transfer function can be uniquely
recovered from the power spectrum, so that equivalent systems are related by a
symplectic transformation.


title: Isometries of virtual quadratic spaces

abstract:
  In this article, we introduce a new object, a virtual quadratic space, and
its group of isometries. They are presented as natural generalizations of
quadratic spaces and orthogonal groups. It is then shown that by replacing
quadratic spaces with virtual quadratic spaces, we can unify certain
enumerative properties of finite fields, without distinguishing between even
and odd characteristics, such as the number of non-isomorphic non-degenerate
quadratic forms, and the order of groups of isometries.


title: Clustered Cell Decomposition in P-Minimal Structures

abstract:
  We prove that in a $P$-minimal structure, every definable set can be
partitioned as a finite union of classical cells and regular clustered cells.
This is a generalization of previously known cell decomposition results by
Denef and Mourgues, which were dependent on the existence of definable Skolem
functions. Clustered cells have the same geometric structure as classical,
Denef-type cells, but do not have a definable function as center. Instead, the
center is given by a definable set whose fibers are finite unions of balls.


title:
Fixpoint Approximation of Strategic Abilities under Imperfect
  Information

abstract:
  Model checking of strategic ability under imperfect information is known to
be hard. The complexity results range from NP-completeness to undecidability,
depending on the precise setup of the problem. No less importantly, fixpoint
equivalences do not generally hold for imperfect information strategies, which
seriously hampers incremental synthesis of winning strategies. In this paper,
we propose translations of ATLir formulae that provide lower and upper bounds
for their truth values, and are cheaper to verify than the original
specifications. That is, if the expression is verified as true then the
corresponding formula of ATLir should also hold in the given model. We begin by
showing where the straightforward approach does not work. Then, we propose how
it can be modified to obtain guaranteed lower bounds. To this end, we alter the
next-step operator in such a way that traversing one's indistinguishability
relation is seen as atomic activity. Most interestingly, the lower
approximation is provided by a fixpoint expression that uses a nonstandard
variant of the next-step ability operator. We show the correctness of the
translations, establish their computational complexity, and validate the
approach by experiments with a scalable scenario of Bridge play.


title:
Nonlinear 1-Bit Precoding for Massive MU-MIMO with Higher-Order
  Modulation

abstract:
  Massive multi-user (MU) multiple-input multiple- output (MIMO) is widely
believed to be a core technology for the upcoming fifth-generation (5G)
wireless communication standards. The use of low-precision digital-to-analog
converters (DACs) in MU-MIMO base stations is of interest because it reduces
the power consumption, system costs, and raw baseband data rates. In this
paper, we develop novel algorithms for downlink precoding in massive MU-MIMO
systems with 1-bit DACs that support higher-order modulation schemes such as
8-PSK or 16-QAM. Specifically, we present low-complexity nonlinear precoding
algorithms that achieve low error rates when combined with blind or
training-based channel-estimation algorithms at the user equipment. These
results are in stark contrast to linear-quantized precoding algorithms, which
suffer from a high error floor if used with high-order modulation schemes and
1-bit DACs.


title:
Effects of online group exercises for older adults on physical,
  psychological and social wellbeing: a pilot trial

abstract:
  Background. There are many factors that can make of group exercises a
challenging setting for older adults. A major one in the elderly population is
the difference in the level of skills. In this paper we report on the physical,
psychological and social wellbeing outcomes of a novel virtual gym that enables
online group-exercises in older adults with different levels of skills.
  Methods. A total of 37 older adults (65-87 years old) followed a personalized
exercise program based on the OTAGO program for fall prevention, for a period
of eight weeks. Participants could join online group exercises using a
tablet-based application. Participants were assigned either to a Control group
(individual training) or Social group (online group-exercising). Pre- and post-
measurements were taken to analyze the physical, psychological and social
wellbeing outcomes. The study received ethical approval from the CREATE-NET
Ethics Committee on ICT Research Involving Human Beings (Application N.
2014-001).
  Results. There were improvements in both the Social and Control groups in
terms of physical outcomes. Interestingly though, while in the Control group
fitter individuals tended to adhere more to the training, this was not the case
for the Social group, where the initial level had no effect on adherence. For
psychological and social wellbeing outcomes there were improvements on both
groups, regardless of the application used.
  Conclusion. Group exercising in a virtual gym can be effective in motivating
and enabling individuals who are less fit to train as much as fitter
individuals. This not only indicates the feasibility of training together
despite differences in physical skills but also suggests that online exercise
can reduce the effect of skills on adherence in a social context. Longer term
interventions with more participants are instead recommended to assess impacts
on wellbeing.


title: Pion transition form factor in the Domain model of QCD vacuum

abstract:
  Domain model of QCD allows for description of wide range of meson
observables, dynamical chiral symmetry breaking, and resolution of $U_A(1)$ and
strong $CP$ problems. The purpose of the present study is transition
form-factor of neutral pseudoscalar mesons, and how they are influenced by the
typical vacuum configurations of the model -- almost everywhere homogeneous
Abelian (anti-)self-dual fields. Asymptotic behavior of the calculated pion
form-factor supports Belle trend, but the asymptotic value of
$Q^2F_{\pi\gamma^*\gamma}$ differs from the prediction of factorization
theorems.


title: Search for Interstellar monohydric Thiols

abstract:
  It has been pointed out by various astronomers that very interesting
relationship exists between interstellar alcohols and the corresponding thiols
(sulfur analogue of alcohols) as far as the spectroscopic properties and
chemical abundances are concerned. Monohydric alcohols such as methanol and
ethanol are widely observed and 1-propanol is recently claimed to have been
seen in Orion KL. Among the monohydric thiols, methanethiol (chemical analogue
of methanol), has been firmly detected in Orion KL and Sgr B2(N2) and
ethanethiol (chemical analogue of ethanol) has been claimed to be observed in
Sgr B2(N2) though the confirmation of this detection is yet to come. It is very
likely that higher order thiols could be observed in these regions. In this
paper, we study the formation of monohydric alcohols and their thiol analogues.
Based on our quantum chemical calculation and chemical modeling, we find that
`Tg' conformer of 1-propanethiol is a good candidate of astronomical interest.
We present various spectroscopically relevant parameters of this molecule to
assist its future detection in the Interstellar medium (ISM).


title: Shorter gate sequences for quantum computing by mixing unitaries

abstract:
  Fault-tolerant quantum computers compose elements of a discrete gate set in
order to approximate a target unitary. The problem of minimising the number of
gates is known as gate-synthesis. The approximation error is a form of coherent
noise, which can be significantly more damaging than comparable incoherent
noise. We show how mixing over different gate sequences can convert this
coherent noise into an incoherent form. As measured by diamond distance, the
post-mixing noise is quadratically smaller than before mixing, with no
additional resource cost. Equivalently, we can use a shorter gate sequence to
achieve the same precision as unitary gate-synthesis, with a factor 1/2
reduction for a broad class of problems.


title:
Joint remote state preparation (JRSP) of two-qubit equatorial state in
  quantum noisy channels

abstract:
  This letter reports the influence of noisy channels on JRSP of two-qubit
equatorial state. We present a scheme for JRSP of two-qubit equatorial state.
We employ two tripartite Greenberger-Horne-Zeilinger (GHZ) entangled states as
the quantum channel linking the parties. We find the success probability to be
$1/4$. However, this probability can be ameliorated to $3/4$ if the state
preparers assist by transmitting individual partial information through
classical channel to the receiver non-contemporaneously. Afterward, we
investigate the effects of five quantum noises: the bit-flip noise, bit-phase
flip noise, amplitude-damping noise, phase-damping noise and depolarizing noise
on the JRSP process. We obtain the analytical derivation of the fidelities
corresponding to each quantum noisy channel, which is a measure of information
loss as the qubits are being distributed in these quantum channels. We find
that the system loses some of its properties as a consequence of unwanted
interactions with environment. For instance, within the domain
$0<\lambda<0.65$, the information lost via transmission of qubits in amplitude
channel is most minimal, while for $0.65<\lambda\leq1$, the information lost in
phase flip channel becomes the most minimal. Also, for any given $\lambda$, the
information transmitted through depolarizing channel has the least chance of
success.


title: Exotic Dual of Type II Double Field Theory

abstract:
  We perform an exotic dualization of the Ramond-Ramond fields in type II
double field theory, in which they are encoded in a Majorana-Weyl spinor of
O(D,D). Starting from a first-order master action, the dual theory in terms of
a tensor-spinor of O(D,D) is determined. This tensor-spinor is subject to an
exotic version of the (self-)duality constraint needed for a democratic
formulation. We show that in components, reducing O(D,D) to GL(D), one obtains
the expected exotically dual theory in terms of mixed Young tableaux fields. To
this end, we generalize exotic dualizations to self-dual fields, such as the
4-form in type IIB string theory.


title:
Synthesis and pressure and field dependent magnetic properties of the
  Kagome-bilayer spin liquid Ca$_{10}$Cr$_7$O$_{28}$

abstract:
  We report synthesis of polycrystalline samples of the recently discovered
spin liquid material Ca$_{10}$Cr$_7$O$_{28}$ and present measurements of the
ambient and high pressure magnetic susceptibility $\chi$ versus temperature
$T$, magnetization $M$ versus magnetic field $H$ at various $T$, and heat
capacity $C$ versus $T$ at various $H$. The ambient pressure magnetic
measurements indicate the presence of both ferromagnetic and antiferromagnetic
exchange interactions with dominant ferromagnetic interactions and with the
largest magnetic energy scale $\sim 10$~K\@. The $\chi(T)$ measurements under
externally applied pressure of up to $P \approx 1$~GPa indicate the robust
nature of the spin-liquid state despite relative increase in the ferromagnetic
exchanges. $C(T)$ shows a broad anomaly at $T\approx 2.5$~K which moves to
higher temperatures in a magnetic field. The evolution of the low temperature
$C(T,H)$ and the magnetic entropy is consistent with frustrated magnetism in
Ca$_{10}$Cr$_7$O$_{28}$.


title:
Highly inclined and eccentric massive planets. II. Planet-planet
  interactions during the disc phase

abstract:
  We aim to investigate the influence of the eccentricity and inclination
damping due to planet-disc interactions on the final configurations of the
systems, generalizing previous studies on the combined action of the gas disc
and planet-planet scattering during the disc phase. Instead of the simplistic
$K$-prescription, our n-body simulations adopt the damping formulae for
eccentricity and inclination provided by the hydrodynamical simulations of our
companion paper. We follow the evolution of $11000$ numerical experiments of
three giant planets in the late stage of the gas disc, exploring different
initial configurations, planetary mass ratios and disc masses. The dynamical
evolutions of the planetary systems are studied along the simulations, with
emphasis on the resonance captures and inclination-growth mechanisms. Most of
the systems are found with small inclinations ($\le10^{\circ}$) at the
dispersal of the disc. Even though many systems enter an inclination-type
resonance during the migration, the disc usually damps the inclinations on a
short timescale. Although the majority of the multiple systems in our results
are quasi-coplanar, $\sim5\%$ of them end up with high mutual inclinations
($\ge10^{\circ}$). Half of these highly mutually inclined systems result from
two- or three-body MMR captures, the other half being produced by orbital
instability and/or planet-planet scattering. When considering the long-term
evolution over $100$ Myr, destabilization of the resonant systems is common,
and the percentage of highly mutually inclined systems still evolving in
resonance drops to $30\%$. Finally, the parameters of the final system
configurations are in very good agreement with the semi-major axis and
eccentricity distributions in the observations, showing that planet-planet
interactions during the disc phase could have played an important role in
sculpting planetary systems.


title: The $v_n$-periodic Goodwillie tower on Wedges and Cofibres

abstract:
  We introduce general methods to analyse the Goodwillie tower of the identity
functor on a wedge $X \vee Y$ of spaces (using the Hilton-Milnor theorem) and
on the cofibre $\mathrm{cof}(f)$ of a map $f: X \rightarrow Y$. We deduce some
consequences for $v_n$-periodic homotopy groups: whereas the Goodwillie tower
is finite and converges in periodic homotopy when evaluated on spheres
(Arone-Mahowald), we show that neither of these statements remains true for
wedges and Moore spaces.


title:
Towards better decoding and language model integration in sequence to
  sequence models

abstract:
  The recently proposed Sequence-to-Sequence (seq2seq) framework advocates
replacing complex data processing pipelines, such as an entire automatic speech
recognition system, with a single neural network trained in an end-to-end
fashion. In this contribution, we analyse an attention-based seq2seq speech
recognition system that directly transcribes recordings into characters. We
observe two shortcomings: overconfidence in its predictions and a tendency to
produce incomplete transcriptions when language models are used. We propose
practical solutions to both problems achieving competitive speaker independent
word error rates on the Wall Street Journal dataset: without separate language
models we reach 10.6% WER, while together with a trigram language model, we
reach 6.7% WER.


title: A note on the triangle inequality for the Jaccard distance

abstract:
  Two simple proofs of the triangle inequality for the Jaccard distance in
terms of nonnegative, monotone, submodular functions are given and discussed.


title:
Difference between two species of emu hides a test for lepton flavour
  violation

abstract:
  We argue that an LHC measurement of some simple quantities related to the
ratio of rates of e+mu- to e-mu+ events is surprisingly sensitive to as-yet
unexcluded R-parity violating supersymmetric models with non-zero lambda-prime
231 couplings. The search relies upon the approximate lepton universality in
the Standard Model, the sign of the charge of the proton, and a collection of
favourable detector biases. The proposed search is unusual because: it does not
require any of the displaced vertices, hadronic neutralino decay products, or
squark/gluino production relied upon by existing LHC RPV searches; it could
work in cases in which the only light sparticles were smuons and neutralinos;
and it could make a discovery (though not necessarily with optimal
significance) without requiring the computation of a leading-order Monte Carlo
estimate of any background rate. The LHC has shown no strong hints of
post-Higgs physics and so precision Standard Model measurements are becoming
ever more important. We argue that in this environment growing profits are to
be made from searches that place detector biases and symmetries of the Standard
Model at their core - searches based around `controls' rather than around
signals.


title: Solvability of multidimensional quadratic BSDEs

abstract:
  We consider multidimensional quadratic BSDEs with bounded and unbounded
terminal conditions. We provide sufficient conditions which guarantee existence
and uniqueness of solutions. In particular, these conditions are satisfied if
the terminal condition or the dependence in the system are small enough.


title:
Deep Supervision with Shape Concepts for Occlusion-Aware 3D Object
  Parsing

abstract:
  Monocular 3D object parsing is highly desirable in various scenarios
including occlusion reasoning and holistic scene interpretation. We present a
deep convolutional neural network (CNN) architecture to localize semantic parts
in 2D image and 3D space while inferring their visibility states, given a
single RGB image. Our key insight is to exploit domain knowledge to regularize
the network by deeply supervising its hidden layers, in order to sequentially
infer intermediate concepts associated with the final task. To acquire training
data in desired quantities with ground truth 3D shape and relevant concepts, we
render 3D object CAD models to generate large-scale synthetic data and simulate
challenging occlusion configurations between objects. We train the network only
on synthetic data and demonstrate state-of-the-art performances on real image
benchmarks including an extended version of KITTI, PASCAL VOC, PASCAL3D+ and
IKEA for 2D and 3D keypoint localization and instance segmentation. The
empirical results substantiate the utility of our deep supervision scheme by
demonstrating effective transfer of knowledge from synthetic data to real
images, resulting in less overfitting compared to standard end-to-end training.


title:
Domain wall network as QCD vacuum: confinement, chiral symmetry,
  hadronization

abstract:
  An approach to QCD vacuum as a medium describable in terms of statistical
ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon fields
is reviewed. These fields play the role of the confining medium for color
charged fields as well as underline the mechanism of realization of chiral
$SU_{\mathrm L}(N_f)\times SU_{\mathrm R}(N_f)$ and $U_{\mathrm A}(1)$
symmetries. Hadronization formalism based on this ensemble leads to manifestly
defined quantum effective meson action. Strong, electromagnetic and weak
interactions of mesons are represented in the action in terms of nonlocal
$n$-point interaction vertices given by the quark-gluon loops averaged over the
background ensemble. Systematic results for the mass spectrum and decay
constants of radially excited light, heavy-light mesons and heavy quarkonia are
presented. Relationship of this approach to the results of functional
renormalization group and Dyson-Schwinger equations, and the picture of
harmonic confinement is briefly outlined.


title: Stream Clustering using Probabilistic Data Structures

abstract:
  Most density based stream clustering algorithms separate the clustering
process into an online and offline component. Exact summarized statistics are
being employed for defining micro-clusters or grid cells during the online
stage followed by macro-clustering during the offline stage. This paper
proposes a novel alternative to the traditional two phase stream clustering
scheme, introducing sketch-based data structures for assessing both stream
density and cluster membership with probabilistic accuracy guarantees. A
count-min sketch using a damped window model estimates stream density. Bloom
filters employing a variation of active-active buffering estimate cluster
membership. Instances of both types of sketches share the same set of hash
functions. The resulting stream clustering algorithm is capable of detecting
arbitrarily shaped clusters while correctly handling outliers and making no
assumption on the total number of clusters. Experimental results over a number
of real and synthetic datasets illustrate the proposed algorithm quality and
efficiency.


title: Discretization of quaternionic continuous wavelet transforms

abstract:
  A scheme to form a basis and a frame for a Hilbert space of quaternion valued
square integrable function from a basis and a frame, respectively, of a Hilbert
space of complex valued square integrable functions is introduced. Using the
discretization techniques for 2D-continuous wavelet transform of the $SIM(2)$
group, the quaternionic continuous wavelet transform, living in a complex
valued Hilbert space of square integrable functions, of the quaternion wavelet
group is discretized, and thereby, a discrete frame for quaternion valued
Hilbert space of square integrable functions is obtained.


title:
Embedding Words and Senses Together via Joint Knowledge-Enhanced
  Training

abstract:
  Word embeddings are widely used in Natural Language Processing, mainly due to
their success in capturing semantic information from massive corpora. However,
their creation process does not allow the different meanings of a word to be
automatically separated, as it conflates them into a single vector. We address
this issue by proposing a new model which learns word and sense embeddings
jointly. Our model exploits large corpora and knowledge from semantic networks
in order to produce a unified vector space of word and sense embeddings. We
evaluate the main features of our approach both qualitatively and
quantitatively in a variety of tasks, highlighting the advantages of the
proposed method in comparison to state-of-the-art word- and sense-based models.


title: Renormalized Energy for Dislocations in Quasi-Crystals

abstract:
  Anti-plane shear deformations of a hexagonal quasi-crystal with multiple
screw dislocations are considered. Using a variational formulation, the elastic
equilibrium is characterized via limit of minimizers of a core-regularized
energy functional. A sharp estimate of the asymptotic energy when the core
radius tends to zero is obtained using higher-order $\Gamma$-convergence. Also,
the interaction between dislocations and the Peach-K\"{o}hler force at each
dislocation are analyzed.


title: A Nonparametric Bayesian Basket Trial Design

abstract:
  Targeted therapies on the basis of genomic aberrations analysis of the tumor
have shown promising results in cancer prognosis and treatment. Regardless of
tumor type, trials that match patients to targeted therapies for their
particular genomic aberrations have become a mainstream direction of
therapeutic management of patients with cancer. Therefore, finding the
subpopulation of patients who can most benefit from an aberration-specific
targeted therapy across multiple cancer types is important. We propose an
adaptive Bayesian clinical trial design for patient allocation and
subpopulation identification. We start with a decision theoretic approach,
including a utility function and a probability model across all possible
subpopulation models. The main features of the proposed design and population
finding methods are that we allow for variable sets of covariates to be
recorded by different patients, adjust for missing data, allow high order
interactions of covariates, and the adaptive allocation of each patient to
treatment arms using the posterior predictive probability of which arm is best
for each patient. The new method is demonstrated via extensive simulation
studies.


title: Entity Identification as Multitasking

abstract:
  Standard approaches in entity identification hard-code boundary detection and
type prediction into labels (e.g., John/B-PER Smith/I-PER) and then perform
Viterbi. This has two disadvantages: 1. the runtime complexity grows
quadratically in the number of types, and 2. there is no natural segment-level
representation. In this paper, we propose a novel neural architecture that
addresses these disadvantages. We frame the problem as multitasking, separating
boundary detection and type prediction but optimizing them jointly. Despite its
simplicity, this architecture performs competitively with fully structured
models such as BiLSTM-CRFs while scaling linearly in the number of types.
Furthermore, by construction, the model induces type-disambiguating embeddings
of predicted mentions.


title: CrowdMI: Multiple Imputation via Crowdsourcing

abstract:
  Can humans impute missing data with similar proficiency as machines? This is
the question we aim to answer in this paper. We present a novel idea of
converting observations with missing data in to a survey questionnaire, which
is presented to crowdworkers for completion. We replicate a multiple imputation
framework by having multiple unique crowdworkers complete our questionnaire.
Experimental results demonstrate that using our method, it is possible to
generate valid imputations for qualitative and quantitative missing data, with
results comparable to imputations generated by complex statistical models.


title: Landau Singularities from the Amplituhedron

abstract:
  We propose a simple geometric algorithm for determining the complete set of
branch points of amplitudes in planar N=4 super-Yang-Mills theory directly from
the amplituhedron, without resorting to any particular representation in terms
of local Feynman integrals. This represents a step towards translating
integrands directly into integrals. In particular, the algorithm provides
information about the symbol alphabets of general amplitudes. We illustrate the
algorithm applied to the one- and two-loop MHV amplitudes.


title: Predicting Ground-Level Scene Layout from Aerial Imagery

abstract:
  We introduce a novel strategy for learning to extract semantically meaningful
features from aerial imagery. Instead of manually labeling the aerial imagery,
we propose to predict (noisy) semantic features automatically extracted from
co-located ground imagery. Our network architecture takes an aerial image as
input, extracts features using a convolutional neural network, and then applies
an adaptive transformation to map these features into the ground-level
perspective. We use an end-to-end learning approach to minimize the difference
between the semantic segmentation extracted directly from the ground image and
the semantic segmentation predicted solely based on the aerial image. We show
that a model learned using this strategy, with no additional training, is
already capable of rough semantic labeling of aerial imagery. Furthermore, we
demonstrate that by finetuning this model we can achieve more accurate semantic
segmentation than two baseline initialization strategies. We use our network to
address the task of estimating the geolocation and geoorientation of a ground
image. Finally, we show how features extracted from an aerial image can be used
to hallucinate a plausible ground-level panorama.


title: Monte Carlo profile confidence intervals

abstract:
  Monte Carlo methods to evaluate and maximize the likelihood function enable
the construction of confidence intervals and hypothesis tests, facilitating
scientific investigation using models for which the likelihood function is
intractable. When Monte Carlo error can be made small, by sufficiently
exhaustive computation, then the standard theory and practice of
likelihood-based inference applies. As data become larger, and models more
complex, situations arise where no reasonable amount of computation can render
Monte Carlo error negligible. We develop profile likelihood methodology to
provide frequentist inferences that take into account Monte Carlo uncertainty.
We investigate the role of this methodology in facilitating inference for
computationally challenging dynamic latent variable models. We present three
examples arising in the study of infectious disease transmission. These three
examples demonstrate our methodology for inference on nonlinear dynamic models
using genetic sequence data, panel time series data, and spatiotemporal data.
We also discuss applicability to nonlinear time series analysis.


title:
Current-induced switching of magnetic molecules on topological insulator
  surfaces

abstract:
  Electrical currents at the surface or edge of a topological insulator are
intrinsically spin-polarized. We show that such surface/edge currents can be
used to switch the orientation of a molecular magnet weakly coupled to the
surface or edge of a topological insulator. For the edge of a two-dimensional
topological insulator as well as for the surface of a three-dimensional
topological insulator the application of a well-chosen surface/edge current can
lead to a complete polarization of the molecule if the molecule's magnetic
anisotropy axis is appropriately aligned with the current direction. For a
generic orientation of the molecule a nonzero but incomplete polarization is
obtained. We calculate the probability distribution of the magnetic states and
the switching rates as a function of the applied current.


title:
Scalable Influence Maximization for Multiple Products in Continuous-Time
  Diffusion Networks

abstract:
  A typical viral marketing model identifies influential users in a social
network to maximize a single product adoption assuming unlimited user
attention, campaign budgets, and time. In reality, multiple products need
campaigns, users have limited attention, convincing users incurs costs, and
advertisers have limited budgets and expect the adoptions to be maximized soon.
Facing these user, monetary, and timing constraints, we formulate the problem
as a submodular maximization task in a continuous-time diffusion model under
the intersection of a matroid and multiple knapsack constraints. We propose a
randomized algorithm estimating the user influence in a network
($|\mathcal{V}|$ nodes, $|\mathcal{E}|$ edges) to an accuracy of $\epsilon$
with $n=\mathcal{O}(1/\epsilon^2)$ randomizations and
$\tilde{\mathcal{O}}(n|\mathcal{E}|+n|\mathcal{V}|)$ computations. By
exploiting the influence estimation algorithm as a subroutine, we develop an
adaptive threshold greedy algorithm achieving an approximation factor $k_a/(2+2
k)$ of the optimal when $k_a$ out of the $k$ knapsack constraints are active.
Extensive experiments on networks of millions of nodes demonstrate that the
proposed algorithms achieve the state-of-the-art in terms of effectiveness and
scalability.


title: NbN/AlN/NbN Josephson junctions on sapphire for receiver applications

abstract:
  The most developed integrated receivers for THz radiation nowadays are based
on Josephson junction SIS devices. In this kind of devices, the highest
receivable frequency is determined by the energy gap of the superconducting
electrodes and limited to approximately 700 GHz in case of Nb/AlOx/Nb
multilayers. We have developed a technology for NbN/AlN/NbN Josephson junctions
on sapphire substrates which allow operation at frequencies above 1 THz. The
trilayers are deposited in-situ in a 3-chamber DC-magnetron sputtering system
at temperatures as high as 775 {\deg}C. Each layer is reactively sputtered in
an argon and nitrogen atmosphere. By variation of the partial gas pressures and
discharge current of the plasma, optimum deposition conditions for the
tri-layers were found. So far, gap voltages as high as 5.1 mV at 4.2 K have
been achieved which allows the operation frequency of the JJ devices to exceed
1 THz.