title:
Improved residuals for linear regression models under heteroskedasticity
  of unknown form

abstract:
  In this work we introduce a new residual for normal linear models that are
suitable for situations in which we are dealing with heteroskedasticity of
unknown form, they are referred to by principal component analysis (PCA)
residuals. These residuals are obtained through a linear transformation of the
ordinary residuals, by means of a spectral analysis on a
heteroskedasticity-consistent estimator of the covariance matrix. The resulting
residuals are independent and normally distributed. These residuals provide a
simple way to check several assumptions that underlie the normal linear
regression model, as well as model adequacy. Since they are independent and
normally distributed, one may apply several results on independent random
variables directly to these residuals. Finally, we provide an application to
real data to illustrate the usefulness of our residuals.


title:
Cold and Hot Nuclear Matter Effects on Charmonium Production in p+Pb
  Collisions at LHC Energy

abstract:
  We study cold and hot nuclear matter effects on charmonium production in p+Pb
collisions at $\sqrt{s_\text{NN}}=5.02$ TeV in a transport approach. At the
forward rapidity, the cold medium effect on all the $c\bar c$ states and the
hot medium effect on the excited $c\bar c$ states only can explain well the
$J/\psi$ and $\psi'$ yield and transverse momentum distribution measured by the
ALICE collaboration, and we predict a significantly larger $\psi'$ $p_\text{T}$
broadening in comparison with $J/\psi$. However, we can not reproduce the
$J/\psi$ and $\psi'$ data at the backward rapidity with reasonable cold and hot
medium effects.


title: Shape Parameters of 1991 to 2016 Solar Corona

abstract:
  The global structure of solar corona observed in optical window is governed
by the global magnetic field with different characteristics over solar activity
cycle. Ludendorff flattening index becomes a popular measure of the global
structure of solar corona as observed during eclipse. In this study, 15 digital
images of solar corona from 1991 to 2016 were analyzed in order to construct
the coronal flattening profiles as a function of radius. In most of the cases,
the profile can be modeled with 2nd order polynomial function so that the
radius with maximum flattening index ($R_{\text{max}}$) can be determined.
Along with this value, Ludendorff index ($a+b$) was also calculated. Both
Ludendorff index and $R_{\text{max}}$ show anti-correlation with monthly
sunspot number, though the $R_{\text{max}}$ values are more scattered. The
variation of $R_{\text{max}}$ can be regarded as the impact of changing coronal
brightness profile over equator.


title:
The humidity sensing properties and mechanism of strontium-hexaferrite
  ceramics

abstract:
  The humidity sensitivity of n-type strontium-hexaferrite semiconductors,
X-type (Sr2Co2Fe28O46) and Z-type (Sr3Co2Fe24O41), are investigated at room
temperature. The contact and reactions between water and material surface are
demonstrated considering the formation of oxide ion vacancy, singly-ionized /
fully-ionized oxide ion vacancy, and the chemisorbed / physisorbed / condensed
water. An impedance spectra model is proposed considering the
material-electrode interface, interior material, grain boundary, absorbed water
and Warburg response. The mechanism of electronic coupled with protonic
conduction and humidity sensing mechanism are explained.


title: Theory of Orbital Susceptibility on Excitonic Insulator

abstract:
  We study the temperature dependence of the orbital susceptibility of an
excitonic insulator on the basis of a two-band model. It is shown that a
drastic change (an anomalous enhancement) in susceptibility as a function of
temperature occurs owing to the occurrence of additional orbital susceptibility
due to the excitonic gap. We calculate explicitly the temperature dependence of
orbital susceptibility for a model of Ta$_2$NiSe$_5$, and show that the result
is consistent with experimental results.


title: Synthetic Language Generation and Model Validation in BEAST2

abstract:
  Generating synthetic languages aids in the testing and validation of future
computational linguistic models and methods. This thesis extends the BEAST2
phylogenetic framework to add linguistic sequence generation under multiple
models. The new plugin is then used to test the effects of the phenomena of
word borrowing on the inference process under two widely used phylolinguistic
models.


title:
Strongly Enhanced Effects of Lorentz-Symmetry Violation in Yb$^+$ and
  Highly Charged Ions

abstract:
  A Lorentz-symmetry test with Ca$^+$ ions demonstrated the potential of using
quantum information inspired technology for tests of fundamental physics. A
systematic study of atomic-system sensitivities to Lorentz violation identified
the ytterbium ion as an ideal system with high sensitivity as well as excellent
experimental controllability. A test of Lorentz-violating physics in the
electron-photon sector with Yb$^+$ ions has the potential to reach levels of
10$^{-23}$, five orders of magnitude more sensitive than the current best
bounds. Similar sensitivities may be also reached with highly charged ions.


title:
Contact processes with random recovery rates and edge weights on
  complete graphs

abstract:
  In this paper we are concerned with the contact process with random recovery
rates and edge weights on complete graph with $n$ vertices. We show that the
model has a critical value which is inversely proportional to the product of
the mean of the edge weight and the mean of the inverse of the recovery rate.
In the subcritical case, the process dies out before a moment with order
$O(\log n)$ with high probability as $n\rightarrow+\infty$. In the
supercritical case, the process survives at a moment with order $\exp\{O(n)\}$
with high probability as $n\rightarrow+\infty$. Our proof for the subcritical
case is inspired by the graphical method introduced in \cite{Har1978}. Our
proof for the supercritical case is inspired by approach introduced in
\cite{Pet2011}, which deal with the case where the contact process is with
random vertex weights.


title:
Satellite quenching timescales in clusters from projected phase space
  measurements matched to simulated orbits

abstract:
  We measure the star formation quenching efficiency and timescale in cluster
environments. Our method uses N-body simulations to estimate the probability
distribution of possible orbits for a sample of observed SDSS galaxies in and
around clusters based on their position and velocity offsets from their host
cluster. We study the relationship between their star formation rates and their
likely orbital histories via a simple model in which star formation is quenched
once a delay time after infall has elapsed. Our orbit library method is
designed to isolate the environmental effect on the star formation rate due to
a galaxy's present-day host cluster from `pre-processing' in previous group
hosts. We find that quenching of satellite galaxies of all stellar masses in
our sample ($10^{9}-10^{11.5}\,{\rm M}_\odot$) by massive ($> 10^{13}\,{\rm
M}_\odot$) clusters is essentially $100$ per cent efficient. Our fits show that
all galaxies quench on their first infall, approximately at or within a Gyr of
their first pericentric passage. There is little variation in the onset of
quenching from galaxy-to-galaxy: the spread in this time is at most $\sim 2$
Gyr at fixed $M_*$. Higher mass satellites quench earlier, with very little
dependence on host cluster mass in the range probed by our sample.


title:
Singlet States Preparation for Three $\Lambda$-type Atoms with Rydberg
  Blockade Mechanism

abstract:
  A proposal for the generation of singlet states of three $\Lambda$-type
Rydberg atoms is presented. The singlet state is prepared through the
combination of a Rydberg state and an EPR pair, and the scheme relies on the
Rydberg blockade effect which prevents the simultaneous excitation of the two
atoms to a Rydberg state. In addition, some frequency detuning between lasers
and atomic transitions is set to eliminate the degenerate of the two ground
states. And finally, a series of numerical simulations are made to show the
feasibility of the scheme.


title: Adiabatic Generation of N-quNit Singlet States with Cavity QED

abstract:
  A theoretical scheme is presented for the adiabatic generation of N-quNit
singlet states with $N\geqslant3$, which may be more feasible than previous
ones in a cavity. In this proposal, the system may be robust both parameter
fluctuations and dissipation along a dark state. In addition, quantum
information is only stored in atomic ground states and there is no energy
exchanged between atoms and photons in a cavity so as to reduce the influence
of atomic spontaneous emission and cavity decays.


title:
Effective mass sensing using optomechanically induced transparency in
  microresonator system

abstract:
  Detecting and weighing the individual nanoparticles is an important approach
to study the behavior and properties of single particles. Here we illustrate an
effective mass sensing scheme using optomechanical resonator system. Based on
the optomechanically induced transparency phenomenon, a Stokes field reference
approach is used to sense the mass of the particle on the microresonator. The
field intensity of the transmission field will be changed by the effect of the
particle which avoids the limits of decay induced spectral width in the
resonance shift detection. Exploiting the perturbation method, we theoretically
evaluated the dynamical behavior of the system, and achieved the femtogram
level mass sensing without the need for high cavity Q-value, and strong
coupling strength in the optomechanically system.


title:
Development of cross-correlation spectrometry and the coherent
  structures of maser sources

abstract:
  We have developed a new method of data processing for radio telescope
observation data to measure time-dependent temporal coherence, and we named it
cross-correlation spectrometry (XCS). XCS is an autocorrelation procedure that
expands time lags over the integration time and is applied to data obtained
from a single-dish observation. The temporal coherence property of received
signals is enhanced by XCS. We tested the XCS technique using the data of
strong H2O masers in W3 (H2O), W49N and W75N. We obtained the temporal coherent
lengths of the maser emission to be 17.95 $\pm$ 0.33 {\mu}s, 26.89 $\pm$ 0.49
{\mu}s and 15.95 $\pm$ 0.46 {\mu}s for W3 (H2O), W49N and W75N, respectively.
These results may indicate the existence of a coherent astrophysical maser.


title:
A Sensorimotor Reinforcement Learning Framework for Physical Human-Robot
  Interaction

abstract:
  Modeling of physical human-robot collaborations is generally a challenging
problem due to the unpredictive nature of human behavior. To address this
issue, we present a data-efficient reinforcement learning framework which
enables a robot to learn how to collaborate with a human partner. The robot
learns the task from its own sensorimotor experiences in an unsupervised
manner. The uncertainty of the human actions is modeled using Gaussian
processes (GP) to implement action-value functions. Optimal action selection
given the uncertain GP model is ensured by Bayesian optimization. We apply the
framework to a scenario in which a human and a PR2 robot jointly control the
ball position on a plank based on vision and force/torque data. Our
experimental results show the suitability of the proposed method in terms of
fast and data-efficient model learning, optimal action selection under
uncertainties and equal role sharing between the partners.


title: Intermittency measurement in two dimensional bacterial turbulence

abstract:
  In this paper, an experimental velocity database of a bacterial collective
motion , e.g., \textit{B. subtilis}, in turbulent phase with volume filling
fraction $84\%$ provided by Professor Goldstein at the Cambridge University UK,
was analyzed to emphasize the scaling behavior of this active turbulence
system. This was accomplished by performing a Hilbert-based methodology
analysis to retrieve the scaling property without the $\beta-$limitation. A
dual-power-law behavior separated by the viscosity scale $\ell_{\nu}$ was
observed for the $q$th-order Hilbert moment $\mathcal{L}_q(k)$. This
dual-power-law belongs to an inverse-cascade since the scaling range is above
the injection scale $R$, e.g., the bacterial body length. The measured scaling
exponents $\zeta(q)$ of both the small-scale \red{(resp. $k>k_{\nu}$) and
large-scale (resp. $k<k_{\nu}$)} motions are convex, showing the
multifractality. A lognormal formula was put forward to characterize the
multifractal intensity. The measured intermittency parameters are $\mu_S=0.26$
and $\mu_L=0.17$ respectively for the small- and large-scale motions. It
implies that the former cascade is more intermittent than the latter one, which
is also confirmed by the corresponding singularity spectrum $f(\alpha)$ vs
$\alpha$. Comparison with the conventional two-dimensional Ekman-Navier-Stokes
equation, a continuum model indicates that the origin of the multifractality
could be a result of some additional nonlinear interaction terms, which
deservers a more careful investigation.


title:
Cavity-assisted measurement and coherent control of collective atomic
  spin oscillators

abstract:
  We demonstrate continuous measurement and coherent control of the collective
spin of an atomic ensemble undergoing Larmor precession in a high-finesse
optical cavity. The coupling of the precessing spin to the cavity field yields
phenomena similar to those observed in cavity optomechanics, including cavity
amplification, damping, and optical spring shifts. These effects arise from
autonomous optical feedback onto the atomic spin dynamics, conditioned by the
cavity spectrum. We use this feedback to stabilize the spin in either its high-
or low-energy state, where, in equilibrium with measurement back-action
heating, it achieves a steady-state temperature, indicated by an asymmetry
between the Stokes and anti-Stokes scattering rates. For sufficiently large
Larmor frequency, such feedback stabilizes the spin ensemble in a nearly pure
quantum state, in spite of continuous measurement by the cavity field.


title: Multiple scan data association by convex variational inference

abstract:
  Data association, the reasoning over correspondence between targets and
measurements, is a problem of fundamental importance in target tracking.
Recently, belief propagation (BP) has emerged as a promising method for
estimating the marginal probabilities of measurement to target association,
providing fast, accurate estimates. The excellent performance of BP in the
particular formulation used may be attributed to the convexity of the
underlying free energy which it implicitly optimises. This paper studies
multiple scan data association problems, i.e., problems that reason over
correspondence between targets and several sets of measurements, which may
correspond to different sensors or different time steps. We find that the
multiple scan extension of the single scan BP formulation is non-convex and
demonstrate the undesirable behaviour that can result. A convex free energy is
constructed using the recently proposed fractional free energy (FFE). A
convergent, BP-like algorithm is provided for the single scan FFE, and employed
in optimising the multiple scan free energy using primal-dual coordinate
ascent. Finally, based on a variational interpretation of joint probabilistic
data association (JPDA), we develop a sequential variant of the algorithm that
is similar to JPDA, but retains consistency constraints from prior scans. The
performance of the proposed methods is demonstrated on a bearings only target
localisation problem.


title: Nonequilibrium phonon effects in midinfrared quantum cascade lasers

abstract:
  We investigate the effects of nonequilibrium phonon dynamics on the operation
of a GaAs-based midinfrared quantum cascade laser over a range of temperatures
(77--300 K) via a coupled ensemble Monte Carlo simulation of electron and
optical-phonon systems. Nonequilibrium phonon effects are shown to be important
below 200 K. At low temperatures, nonequilibrium phonons enhance injection
selectivity and efficiency by drastically increasing the rate of interstage
electron scattering from the lowest injector state to the next-stage upper
lasing level via optical-phonon absorption. As a result, the current density
and modal gain at a given field are higher and the threshold current density
lower and considerably closer to experiment than results obtained with thermal
phonons. By amplifying phonon absorption, nonequilibrium phonons also hinder
electron energy relaxation and lead to elevated electronic temperatures.


title: Team games, hypergraph spaces, and projective Boolean algebras

abstract:
  We modify the game Fuchino, Koppelberg, and Shelah used to characterize the
$\kappa$-Freese-Nation property for a given Boolean algebra $A$, replacing
players I and II each with a team of $n$ players with limited information. We
show that $A$ is tightly $\kappa$-filtered exactly when team II has a winning
strategy for every finite team size.
  Case $\kappa=\aleph_0$ characterizes projective Boolean algebras and, hence,
Dugundji spaces. In terms of the open-open game of Daniels, Kunen, and Zhou,
this characterization is a team version of very I-favorable. We similarly
characterize Cohen algebras in terms of a team version of I-favorability.
  If $A$ is the clopen algebra of the space of $n$-uniform hypergraphs on
$\kappa^{+n}$ that avoid copies of $[n+1]^n$, then team II has a winning
strategy for our modified FKS game for team size $n-1$ but not $n$. For $n\geq
3$, this algebra also answers a question of Geschke when combined with a
locally ${<}\kappa$-sized characterization of tightly $\kappa$-filtered Boolean
algebras that we prove. Case $\kappa=\aleph_0$ includes a locally finite
characterization of projective Boolean algebras.


title:
Magneto-transport properties of CeRu$_2$Al$_{10}$: Similarities to
  URu$_2$Si$_2$

abstract:
  We report on magneto-transport properties of the Kondo semiconducting
compound CeRu$_2$Al$_{10}$, focusing on its exotic phase below $T_0$ = 27 K. In
this phase, an excess thermal conductivity $\kappa$ emerges and is gradually
suppressed by magnetic field, strikingly resembling those observed in the
hidden-order phase of URu$_2$Si$_2$. Our analysis indicates that low-energy
magnetic excitation is the most likely origin, as was also proposed for
URu$_2$Si$_2$ recently, despite the largely reduced magnetic moments. Likewise,
other transport properties such as resistivity, thermopower and Nernst effect
exhibit distinct features characterizing the very different charge dynamics
above and below $T_0$, sharing similarities to URu$_2$Si$_2$, too. Given the
exotic nature of the ordered phases in both compounds, whether a unified
interpretation to all these observations exists appears to be extremely
interesting.


title:
Combined impact of entropy and carrier delocalization on charge transfer
  exciton dissociation at the donor-acceptor interface

abstract:
  Several models of the charge transfer exciton (CTE) have been proposed to
explain its dissociation at the donor-acceptor (DA) interface. However, the
underlying physics is still under debate. Here, we derive temperature
($T$)-dependent tight-binding model for an electron-hole pair at the DA
interface. The main finding is the existence of the localization-delocalization
transition at a critical $T$, which can explain the CTE dissociation. The
present study highlights the combined effect of entropy (finite-$T$) and
carrier delocalization in the CTE dissociation.


title: A New Approach to SMS Steganography using Mathematical Equations

abstract:
  In the era of Information Technology, cyber-crime has always been a worrying
issue for online users. Phishing, social engineering, and third party attacks
have made people reluctant to share their personal information, even with
trusted entities. Messages that are sent via Short Message Service (SMS) are
easily copied and hacked by using special software. To enforce the security of
sending messages through mobile phones, one solution is SMS steganography. SMS
Steganography is a technique that hides a secret message in the SMS. We propose
a new approach for SMS steganography that uses a mathematical equation as the
stego media in order to transmit the data. With this approach, we can hide up
to 35 characters (25%) of a secret message on a single SMS with maximum of 140
characters.


title:
Kondo effect of $\bar{D}_{s}$ and $\bar{D}_{s}^{\ast}$ mesons in nuclear
  matter

abstract:
  We study the Kondo effect for $\bar{D}_{s}$ and $\bar{D}_{s}^{\ast}$ mesons
as impurity particles in nuclear matter. The spin-exchange interaction between
the $\bar{D}_{s}$ or $\bar{D}_{s}^{\ast}$ meson and the nucleon induces the
enhancement of the effective coupling in the low-energy scattering in the
infrared region, whose scale of singularity is given by the Kondo scale. We
investigate the Kondo scale in the renormalization group equation at nucleon
one-loop level. We furthermore study the ground state with the Kondo effect in
the mean-field approach, and present that the Kondo scale is related to the
mixing strength between the $\bar{D}_{s}$ or $\bar{D}_{s}^{\ast}$ meson and the
nucleon in nuclear matter. We show the spectral function of the impurity when
the Kondo effect occurs.


title: Nonminimal De Rham-Hodge Operators and Non-commutative Residue

abstract:
  In this paper, we get a Kastler-Kalau-Walze type theorem associated to
nonminimal de Rham-Hodge operators on compact manifolds with boundary. We give
two kinds of operator-theoretic explanations of the gravitational action in the
case of four dimensional compact manifolds with flat boundary.


title:
A note on "Approximation schemes for a subclass of subset selection
  problems", and a faster FPTAS for the Minimum Knapsack Problem

abstract:
  Pruhs and Woeginger prove the existence of FPTAS's for a general class of
minimization and maximization subset selection problems. Without losing
generality from the original framework, we prove how better asymptotic
worst-case running times can be achieved if a $\rho$-approximation algorithm is
available, and in particular we obtain matching running times between
maximization and minimization subset selection problems. We directly apply this
result to the Minimum Knapsack Problem, for which the original framework yields
an FPTAS with running time $O(n^5/\epsilon)$, where $\epsilon$ is the required
accuracy and $n$ is the number of items, and obtain an FPTAS with running time
$O(n^3/\epsilon)$, thus improving the running time by a quadratic factor in the
worst case.


title: $p$-adic quotient sets

abstract:
  For $A \subseteq \mathbb{N}$, the question of when $R(A) = \{a/a' : a, a' \in
A\}$ is dense in the positive real numbers $\mathbb{R}_+$ has been examined by
many authors over the years. In contrast, the $p$-adic setting is largely
unexplored. We investigate conditions under which $R(A)$ is dense in the
$p$-adic numbers. Techniques from elementary, algebraic, and analytic number
theory are employed in this endeavor. We also pose many open questions that
should be of general interest.


title:
The role of current loop in harmonic generation from magnetic
  metamaterials in two polarizations

abstract:
  In this paper, we investigate the role of the current loop in the generation
of second and third harmonic signals from magnetic metamaterials. We will show
that the fact that the current loop in the magnetic resonance acts as a source
for nonlinear effects and it consists of two orthogonal parts, leads to the
generation of two harmonic signals in two orthogonal polarizations.


title:
Pairing Symmetry Studied from Impurity Effects in the Undoped
  Superconductor T'-La$_{1.8}$Eu$_{0.2}$CuO$_4$

abstract:
  We have investigated the effects of magnetic Ni and nonmagnetic Zn impurities
on the superconductivity in undoped T'-La$_{1.8}$Eu$_{0.2}$CuO$_4$ (T'-LECO)
with the Nd$_2$CuO$_4$-type structure, using the polycrystalline bulk samples,
to clarify the pairing symmetry. It has been found that both suppression rates
of the superconducting transition temperature $T_\mathrm{c}$ by Ni and Zn
impurities are nearly the same and are very similar to those in the optimally
doped and overdoped regimes of hole-doped T-La$_{2-x}$Sr$_{x}$CuO$_4$ with the
K$_2$NiF$_4$-type structure. These results strongly suggest that the
superconductivity in undoped T'-LECO is of the $d$-wave symmetry and is
mediated by the spin fluctuation.


title:
A highly efficient method for second and third harmonic generation from
  magnetic metamaterials

abstract:
  Second and third harmonic signals have been usually generated by using
nonlinear crystals, but that method suffers from the low efficiency in small
thicknesses. Metamaterials can be used to generate harmonic signals in small
thicknesses. Here, we introduce a new method for amplifying second and third
harmonic generation from magnetic metamaterials. We show that by using a
grating structure under the metamaterial, the grating and the metamaterial form
a resonator, and amplify the resonant behavior of the metamaterial. Therefore,
we can generate second and third harmonic signals with high efficiency from
this metamaterial-based nonlinear media.


title: Finiteness of Nichols Algebras and Nichols (Braided) Lie Algebras

abstract:
  It is shown that if $\mathfrak B(V) $ is connected Nichols algebra of
diagonal type with $\dim V>1$, then $\dim (\mathfrak L^-(V)) = \infty$ $($resp.
$ \dim (\mathfrak L(V)) = \infty $$)$ $($ resp. $ \dim (\mathfrak B(V)) =
\infty $$)$ if and only if $\Delta(\mathfrak B(V)) $ is an arithmetic root
system and the quantum numbers (i.e. the fixed parameters) of generalized
Dynkin diagrams of $V$ are of finite order. Sufficient and necessary conditions
for $m$-fold adjoint action in $\mathfrak B(V)$ equal to zero, viz.
$\overline{l}_{x_{i}}^{m}[x_{j}]^ -=0$ for $x_i,~x_j\in \mathfrak B(V)$, are
given.


title:
Joint Embedding of Hierarchical Categories and Entities for Concept
  Categorization and Dataless Classification

abstract:
  Due to the lack of structured knowledge applied in learning distributed
representation of cate- gories, existing work cannot incorporate category
hierarchies into entity information. We propose a framework that embeds
entities and categories into a semantic space by integrating structured
knowledge and taxonomy hierarchy from large knowledge bases. The framework
allows to com- pute meaningful semantic relatedness between entities and
categories. Our framework can han- dle both single-word concepts and
multiple-word concepts with superior performance on concept categorization and
yield state of the art results on dataless hierarchical classification.


title:
On maximizing a monotone k-submodular function subject to a matroid
  constraint

abstract:
  A $k$-submodular function is an extension of a submodular function in that
its input is given by $k$ disjoint subsets instead of a single subset. For
unconstrained nonnegative $k$-submodular maximization, Ward and \v{Z}ivn\'y
proposed a constant-factor approximation algorithm, which was improved by the
recent work of Iwata, Tanigawa and Yoshida presenting a $1/2$-approximation
algorithm. Iwata et al. also provided a $k/(2k-1)$-approximation algorithm for
monotone $k$-submodular maximization and proved that its approximation ratio is
asymptotically tight. More recently, Ohsaka and Yoshida proposed
constant-factor algorithms for monotone $k$-submodular maximization with
several size constraints. However, while submodular maximization with various
constraints has been extensively studied, no approximation algorithm has been
developed for constrained $k$-submodular maximization, except for the case of
size constraints. In this paper, we prove that a greedy algorithm outputs a
$1/2$-approximate solution for monotone $k$-submodular maximization with a
matroid constraint. The algorithm runs in $O(M|E|(\text{MO} + k\text{EO}))$
time, where $M$ is the size of a maximal optimal solution, $|E|$ is the size of
the ground set, and $\text{MO}, \text{EO}$ represent the time for the
membership oracle of the matroid and the evaluation oracle of the
$k$-submodular function, respectively.


title:
On the scattering problem for infinitely many fermions in dimensions
  $d\geq3$ at positive temperature

abstract:
  In this paper, we study the dynamics of a system of infinitely many fermions
in dimensions $d\geq3$ near thermal equilibrium and prove scattering in the
case of small perturbation around equilibrium in a certain generalized Sobolev
space of density operators. This work is a continuation of our previous paper,
and extends the important recent result of M. Lewin and J. Sabin of a similar
type for dimension d=2. In the work at hand, we establish new, improved
Strichartz estimates that allow us to control the case $d\geq3$.


title: Using Kernel Methods and Model Selection for Prediction of Preterm Birth

abstract:
  We describe an application of machine learning to the problem of predicting
preterm birth. We conduct a secondary analysis on a clinical trial dataset
collected by the National In- stitute of Child Health and Human Development
(NICHD) while focusing our attention on predicting different classes of preterm
birth. We compare three approaches for deriving predictive models: a support
vector machine (SVM) approach with linear and non-linear kernels, logistic
regression with different model selection along with a model based on decision
rules prescribed by physician experts for prediction of preterm birth. Our
approach highlights the pre-processing methods applied to handle the inherent
dynamics, noise and gaps in the data and describe techniques used to handle
skewed class distributions. Empirical experiments demonstrate significant
improvement in predicting preterm birth compared to past work.


title: Entanglement Swapping Between Dissipative Systems

abstract:
  In this paper, we investigate the possibility of entanglement swapping
between two distinct qubits coupled to their own (in general) non-Markovian
environments. This is done via Bell state measurement performing on the photons
leaving the dissipative cavities. In the continuation, we introduce the concept
of entangling power to measure the average of swapped entanglement over all
possible pure initial states. Then, we present our results in two strong and
weak coupling regimes and discuss the role of detuning parameter in each regime
on the amount of swapped entanglement. We also determine the conditions in
which the maximum amount of entanglement can be swapped between two qubits. It
is revealed that despite of the presence of dissipation, it is possible to
create long-living stationary entanglement between two qubits.


title:
Semi-quantum private comparison protocol under an almost-dishonest third
  party

abstract:
  This study presents the first semi-quantum private comparison protocol under
an almost-dishonest third party. The proposed protocol allows two classical
participants to compare their secret information without compromising it's
privacy. The security analyses indicate that the protocol is free from several
well-known attacks.


title: Initial data for black hole-neutron star binaries, with rotating stars

abstract:
  The coalescence of a neutron star with a black hole is a primary science
target of ground-based gravitational wave detectors. Constraining or measuring
the neutron star spin directly from gravitational wave observations requires
knowledge of the dependence of the emission properties of these systems on the
neutron star spin. This paper lays foundations for this task, by developing a
numerical method to construct initial data for black hole--neutron star
binaries with arbitrary spin on the neutron star. We demonstrate the robustness
of the code by constructing initial-data sets in large regions of the parameter
space. In addition to varying the neutron star spin-magnitude and
spin-direction, we also explore neutron star compactness, mass-ratio, black
hole spin, and black hole spin-direction. Specifically, we are able to
construct initial data sets with neutron stars spinning near centrifugal
break-up, and with black hole spins as large as $S_{\rm BH}/M_{\rm BH}^2=0.99$.


title: Degrees of freedom in discrete geometry

abstract:
  Following recent developments in discrete gravity, we study geometrical
variables (angles and forms) of simplices in the discrete geometry point of
view. Some of our relatively new results include: new ways of writing a set of
simplices using vectorial (differential form) and coordinate-free pictures, and
a consistent procedure to couple particles of space, together with a method to
calculate the degrees of freedom of the system of 'quanta' of space in the
classical framework.


title:
Effective transitive actions of the unitary group on quotients of Hopf
  manifolds

abstract:
  In our article of 2002 joint with N. Kruzhilin we showed that every connected
complex manifold of dimension $n\ge 2$ that admits an effective transitive
action by holomorphic transformations of the unitary group ${\rm U}_n$ is
biholomorphic to the quotient of a Hopf manifold by the action of ${\mathbb
Z}_m$ for some integer $m$ satisfying $(n,m)=1$. In this note, we complement
the above result with an explicit description of all effective transitive
actions of ${\rm U}_n$ on such quotients, which provides an answer to a 10-year
old question.


title:
Type-II Dirac fermions in the PtSe$_2$ class of transition metal
  dichalcogenides

abstract:
  Recently, a new "type-II" Weyl fermion, which exhibits exotic phenomena such
as angle-dependent chiral anomaly, was discovered in a new phase of matter
where electron and hole pockets contact at isolated Weyl points. [Nature
\textbf{527}, 495 (2015)] This raises an interesting question whether its
counterpart, i.e., type-II \textit{Dirac} fermion, exists in real materials.
Here, we predict the existence of symmetry-protected type-II Dirac fermions in
a class of transition metal dichalcogenide materials. Our first-principles
calculations on PtSe$_2$ reveal its bulk type-II Dirac fermions which are
characterized by strongly tilted Dirac cones, novel surface states, and exotic
doping-driven Lifshitz transition. Our results show that the existence of
type-II Dirac fermions in PtSe$_2$-type materials is closely related to its
structural $P\bar{3}m1$ symmetry, which provides useful guidance for the
experimental realization of type-II Dirac fermions and intriguing physical
properties distinct from those of the standard Dirac fermions known before.


title:
Stability Analysis of Monotone Systems via Max-separable Lyapunov
  Functions

abstract:
  We analyze stability properties of monotone nonlinear systems via
max-separable Lyapunov functions, motivated by the following observations:
first, recent results have shown that asymptotic stability of a monotone
nonlinear system implies the existence of a max-separable Lyapunov function on
a compact set; second, for monotone linear systems, asymptotic stability
implies the stronger properties of D-stability and insensitivity to
time-delays. This paper establishes that for monotone nonlinear systems,
equivalence holds between asymptotic stability, the existence of a
max-separable Lyapunov function, D-stability, and insensitivity to bounded and
unbounded time-varying delays. In particular, a new and general notion of
D-stability for monotone nonlinear systems is discussed and a set of necessary
and sufficient conditions for delay-independent stability are derived. Examples
show how the results extend the state-of-the-art.


title: PIWD: A Plugin-based Framework for Well-Designed SPARQL

abstract:
  In the real world datasets (e.g.,DBpedia query log), queries built on
well-designed patterns containing only AND and OPT operators (for short,
WDAO-patterns) account for a large proportion among all SPARQL queries. In this
paper, we present a plugin-based framework for all SELECT queries built on
WDAO-patterns, named PIWD. The framework is based on a parse tree called
\emph{well-designed AND-OPT tree} (for short, WDAO-tree) whose leaves are basic
graph patterns (BGP) and inner nodes are the OPT operators. We prove that for
any WDAO-pattern, its parse tree can be equivalently transformed into a
WDAO-tree. Based on the proposed framework, we can employ any query engine to
evaluate BGP for evaluating queries built on WDAO-patterns in a convenient way.
Theoretically, we can reduce the query evaluation of WDAO-patterns to subgraph
homomorphism as well as BGP since the query evaluation of BGP is equivalent to
subgraph homomorphism. Finally, our preliminary experiments on gStore and
RDF-3X show that PIWD can answer all queries built on WDAO-patterns effectively
and efficiently.


title:
Construction of $R$-matrices for symmetric tensor representations
  related to $U_{q}(\widehat{sl_{n}})$

abstract:
  In this paper we construct a new factorized representation of the $R$-matrix
related to the affine algebra $U_{q}(\widehat{sl_{n}})$ for symmetric tensor
representations with arbitrary weights. Using the 3D approach we obtain
explicit formulas for the matrix elements of the $R$-matrix and give a simple
proof that a "twisted" $R$-matrix is stochastic. We also discuss symmetries of
the $R$-matrix, its degenerations and compare our formulas with other results
available in the literature.


title: The automatic calibration of Korean VLBI Network data

abstract:
  The calibration of Very Long Baseline Interferometry (VLBI) data has long
been a time consuming process. The Korean VLBI Network (KVN) is a simple array
consisting of three identical antennas. Because four frequencies are observed
simultaneously, phase solutions can be transferred from lower frequencies to
higher frequencies in order to improve phase coherence and hence sensitivity at
higher frequencies. Due to the homogeneous nature of the array, the KVN is also
well suited for automatic calibration. In this paper we describe the automatic
calibration of single-polarisation KVN data using the KVN Pipeline and
comparing the results against VLBI data that has been manually reduced. We find
that the pipelined data using phase transfer produces better results than a
manually reduced dataset not using the phase transfer. Additionally we compared
the pipeline results with a manually reduced phase-transferred dataset and
found the results to be identical.


title:
The Ornstein-Uhlenbeck process with migration: evolution with
  interactions

abstract:
  The Ornstein-Uhlenbeck (OU) process plays a major role in the analysis of the
evolution of phenotypic traits along phylogenies. The standard OU process
includes drift and stabilizing selection and assumes that species evolve
independently. However, especially in plants, there is ample evidence of
hybridization and introgression during evolution. In this work we present a
statistical approach with analytical solutions that allows for the inclusion of
adaptation and migration in a common phylogenetic framework. We furthermore
present a detailed simulation study that clearly indicates the adverse effects
of ignoring migration. Similarity between species due to migration could be
misinterpreted as very strong convergent evolution without proper correction
for these additional dependencies. Our model can also be useful for studying
local adaptation among populations within the same species. Finally, we show
that our model can be interpreted in terms of ecological interactions between
species, providing a general framework for the evolution of traits between
"interacting" species or populations.


title:
A `liquid-solid' phase transition in a simple model for swarming, based
  on the `no flat-spots' theorem for subharmonic functions

abstract:
  We consider a non-local shape optimization problem, which is motivated by a
simple model for swarming and other self-assembly/aggregation models, and prove
the existence of different phases. A technical key ingredient, which we
establish, is that a strictly subharmonic function cannot be constant on a set
of positive measure.


title:
Phenomenological aspects from vacuum stability and metastability in
  models with soft breaking of a \texorpdfstring{$U\left( 1\right)$}{lg} global
  symmetry

abstract:
  We study the vacuum behavior of an extended Higgs sector with two doublets in
a scenario with a softly broken \texorpdfstring{$U(1)$}{lg} global symmetry.
The soft-violation term is introduced to avoid massless-axion particles arising
when the global symmetry becomes spontaneously broken. This model has
metastable states through the possible presence of multiple non-degenerate
minima, which is unwanted from the phenomenological point of view if the
metastable state is not long-lived enough. The analysis of this fact leads to
find possible exclusion limits over parameter space of quartic couplings.
Results improve the individual behavior of initial conditions for
renormalization group equations; also determining unstable zones for the
effective Higgs potential at one loop level. Besides vacuum stability analyses,
the influence of absence of charge violation minima is considered as a limiting
case excluding zones in the parameter space. Extremal cases for the model as
well as criticality phenomena are discussed with the aid of relation among
Higgs masses or splittings among them. From vacuum behavior and LHC results,
phenomenological aspects in the searching of charged and heavier Higgs bosons
are considered to evaluate the scalar alignment regimen of the two Higgs
doublet model.


title:
Linear and nonlinear viscoelastic arterial wall models: application on
  animals

abstract:
  This work deals with the viscoelasticity of the arterial wall and its
influence on the pulse waves. We describe the viscoelasticity by a non-linear
Kelvin-Voigt model in which the coefficients are fitted using experimental time
series of pressure and radius measured on a sheep's arterial network. We
obtained a good agreement between the results of the nonlinear Kelvin-Voigt
model and the experimental measurements. We found that the viscoelastic
relaxation time-defined by the ratio between the viscoelastic coefficient and
the Young's modulus-is nearly constant throughout the network. Therefore, as it
is well known that smaller arteries are stiffer, the viscoelastic coefficient
rises when approaching the peripheral sites to compensate the rise of the
Young's modulus, resulting in a higher damping effect. We incorporated the
fitted viscoelastic coefficients in a nonlinear 1D fluid model to compute the
pulse waves in the network. The damping effect of viscoelasticity on the high
frequency waves is clear especially at the peripheral sites.


title: Nonparametric hypothesis testing for equality of means on the simplex

abstract:
  In the context of data that lie on the simplex, we investigate use of
empirical and exponential empirical likelihood, and Hotelling and James
statistics, to test the null hypothesis of equal population means based on two
independent samples. We perform an extensive numerical study using data
simulated from various distributions on the simplex. The results, taken
together with practical considerations regarding implementation, support the
use of bootstrap-calibrated James statistic.


title: Voltage-Controlled Nano-Scale Reconfigurable Magnonic Crystal

abstract:
  A nano-scale reconfigurable magnonic crystal is designed using
voltage-controlled perpendicular magnetic anisotropy (PMA) in
ferromagnetic-dielectric hetero-structures. A periodic array of gate metallic
stripes is placed on top of a MgO/Co structure in order to apply a periodic
electric field and to modify the PMA in Co. It is numerically demonstrated that
the application of the voltage to the gate stripes modifies the spin-wave
propagation and leads to the formation of band gaps in the spin-wave spectrum.
The band gaps are dynamically controllable, i.e. it is possible to switch band
gaps on and off within a few nanoseconds. The width and the center frequency of
the band gaps is defined by the applied voltage. At last, it is shown that the
application of the voltage to selected, rather than to all gate stripes allows
for a pre-defined modification of the band gap spectra. The proposed
voltage-controlled reconfigurable magnonic crystal opens a new way to low power
consumption magnonic applications.


title:
On Nonlinear Evolutions of the Intense, Short Laser Pulse in the
  Under-Dense Plasma

abstract:
  Nonlinear evolutions of an ultra-intense, short laser pulse due to the wake
excitation inside the plasma are studied by means of detailed Particle-In-Cell
(PIC) simulations and comprehensive analyses. Pulse lengths both longer and
shorter than the plasma wavelength are considered. It is turned out that the
system shows adiabatic behavior as long as the plasma evolves very slowly in
the Pulse Co-Moving (PCM) frame due to the ignorable radiation back-reactions.
A sophisticated treatment of the adiabatic regime is presented, based on the
proper application of the local conservation laws in the PCM frame in
conjunction with the Lorentz transformations. In this context, equations for
the overall pulse evolutions are reduced into a single equation in terms of the
global pulse group-velocity. Due to the proven equality between the local phase
velocities of the plasma wave and the radiation, anomalies are observed in this
regime, in the global group velocity and the plasma dispersion. The group
velocity shows non-explicit density dependency and of remaining above the
linear value over a long period of the propagation. These results are
successfully examined against PIC simulations and their consistency with the
other system evolutions and the physical intuition is fully discussed.
Afterward, the interaction locality is examined in terms of the plasma
dispersion and the resultant spectral evolutions. And it is found that for
pulse lengths larger than the plasma wavelength, the plasma-wave evolutions
inside the pulse region result in the strong light phase-modulation along with
the amplitude-modulation and whereby violation of the adiabatic description.
The development of these phenomena is by production of the effective radiation
back-reactions.


title: The Hess-Appelrot system and its nonholonomic analogs

abstract:
  This paper is concerned with the nonholonomic Suslov problem and its
generalization proposed by Chaplygin. The issue of the existence of an
invariant measure with singular density (having singularities at some points of
phase space) is discussed.


title: Topological spaces with an $\omega^\omega$-base

abstract:
  Given a partially ordered set $P$ we study properties of topological spaces
$X$ admitting a $P$-base, i.e., an indexed family $(U_\alpha)_{\alpha\in P}$ of
subsets of $X\times X$ such that $U_\beta\subset U_\alpha$ for all
$\alpha\le\beta$ in $P$ and for every $x\in X$ the family
$(U_\alpha[x])_{\alpha\in P}$ of balls $U_\alpha[x]=\{y\in X:(x,y)\in
U_\alpha\}$ is a neighborhood base at $x$. A $P$-base $(U_\alpha)_{\alpha\in
P}$ for $X$ is called locally uniform if the family of entourages $(U_\alpha
U_\alpha^{-1}U_\alpha)_{\alpha\in P}$ remains a $P$-base for $X$. A topological
space is first-countable if and only if it has an $\omega$-base. By Moore's
Metrization Theorem, a topological space is metrizable if and only if it is a
$T_0$-space with a locally uniform $\omega$-base.
  In the paper we shall study topological spaces possessing a (locally uniform)
$\omega^\omega$-base. Our results show that spaces with an $\omega^\omega$-base
share some common properties with first countable spaces, in particular, many
known upper bounds on the cardinality of first-countable spaces remain true for
countably tight $\omega^\omega$-based topological spaces. On the other hand,
topological spaces with a locally uniform $\omega^\omega$-base have many
properties, typical for generalized metric spaces. Also we study Tychonoff
spaces whose universal (pre- or quasi-) uniformity has an $\omega^\omega$-base
and show that such spaces are close to being $\sigma$-compact.


title: Local polar varieties in the geometric study of singularities

abstract:
  This text presents several aspects of the theory of equisingularity of
complex analytic spaces from the standpoint of Whitney conditions. The goal is
to describe from the geometrical, topological, and algebraic viewpoints a
canonical locally finite partition of a reduced complex analytic space $X$ into
nonsingular strata with the property that the local geometry of $X$ is constant
on each stratum. Local polar varieties appear in the title because they play a
central role in the unification of viewpoints. The geometrical viewpoint leads
to the study of spaces of limit directions at a given point of $X\subset \C^n$
of hyperplanes of $\C^n$ tangent to $X$ at nonsingular points, which in turn
leads to the realization that the Whitney conditions, which are used to define
the stratification, are in fact of a Lagrangian nature. The local polar
varieties are used to analyze the structure of the set of limit directions of
tangent hyperplanes. This structure helps in particular to understand how a
singularity differs from its tangent cone, assumed to be reduced. The
multiplicities of local polar varieties are related to local topological
invariants, local vanishing Euler-Poincar\'e characteristics, by a formula
which turns out to contain, in the special case where the singularity is the
vertex of the cone over a reduced projective variety, a Pl\"ucker-type formula
for the degree of the dual of a projective variety. The degree of the dual of a
projective variety is expressed in terms of Euler-Poincar\'e characteristics
attached to the minimal Whitney stratification of the variety.


title: How2Sketch: Generating Easy-To-Follow Tutorials for Sketching 3D Objects

abstract:
  Accurately drawing 3D objects is difficult for untrained individuals, as it
requires an understanding of perspective and its effects on geometry and
proportions. Step-by-step tutorials break the complex task of sketching an
entire object down into easy-to-follow steps that even a novice can follow.
However, creating such tutorials requires expert knowledge and is a
time-consuming task. As a result, the availability of tutorials for a given
object or viewpoint is limited. How2Sketch addresses this problem by
automatically generating easy-to-follow tutorials for arbitrary 3D objects.
Given a segmented 3D model and a camera viewpoint,it computes a sequence of
steps for constructing a drawing scaffold comprised of geometric primitives,
which helps the user draw the final contours in correct perspective and
proportion. To make the drawing scaffold easy to construct, the algorithm
solves for an ordering among the scaffolding primitives and explicitly makes
small geometric modifications to the size and location of the object parts to
simplify relative positioning. Technically, we formulate this scaffold
construction as a single selection problem that simultaneously solves for the
ordering and geometric changes of the primitives. We demonstrate our algorithm
for generating tutorials on a variety of man-made objects and evaluate how
easily the tutorials can be followed with a user study.


title:
On high-frequency limits of $U$-statistics in Besov spaces over compact
  manifolds

abstract:
  In this paper, quantitative bounds in high-frequency central limit theorems
are derived for Poisson based $U$-statistics of arbitrary degree built by means
of wavelet coefficients over compact Riemannian manifolds. The wavelets
considered here are the so-called needlets, characterized by strong
concentration properties and by an exact reconstruction formula. Furthermore,
we consider Poisson point processes over the manifold such that the density
function associated to its control measure lives in a Besov space. The main
findings of this paper include new rates of convergence that depend strongly on
the degree of regularity of the control measure of the underlying Poisson point
process, providing a refined understanding of the connection between regularity
and speed of convergence in this framework.


title: Generalizations of the Kovalevskaya case and quaternions

abstract:
  This paper provides a detailed description of various reduction schemes in
rigid body dynamics. Analysis of one of such nontrivial reductions makes it
possible to order the cases already found and to obtain new generalizations of
the Kovalevskaya case to e(3). We note that the above reduction allows one to
obtain in a natural way some singular additive terms which were proposed
earlier by D.N. Goryachev.


title: A Continuous Optimization Approach for Efficient and Accurate Scene Flow

abstract:
  We propose a continuous optimization method for solving dense 3D scene flow
problems from stereo imagery. As in recent work, we represent the dynamic 3D
scene as a collection of rigidly moving planar segments. The scene flow problem
then becomes the joint estimation of pixel-to-segment assignment, 3D position,
normal vector and rigid motion parameters for each segment, leading to a
complex and expensive discrete-continuous optimization problem. In contrast, we
propose a purely continuous formulation which can be solved more efficiently.
Using a fine superpixel segmentation that is fixed a-priori, we propose a
factor graph formulation that decomposes the problem into photometric,
geometric, and smoothing constraints. We initialize the solution with a novel,
high-quality initialization method, then independently refine the geometry and
motion of the scene, and finally perform a global non-linear refinement using
Levenberg-Marquardt. We evaluate our method in the challenging KITTI Scene Flow
benchmark, ranking in third position, while being 3 to 30 times faster than the
top competitors.


title:
On Stability of Flat Band Modes in a Rhombic Nonlinear Optical Waveguide
  Array

abstract:
  The quasi-one-dimensional rhombic array of the waveguides is considered. In
the nonlinear case the system of equations describing coupled waves in the
waveguides has the solutions that represent the superposition of the flat band
modes. The property of stability of these solutions is considered. It was found
that the flat band solution is unstable until the power threshold be attained.


title:
X-Ray Flashes in Recurrent Novae: M31N 2008-12a and the Implications of
  the Swift Non-detection

abstract:
  Models of nova outbursts suggest that an X-ray flash should occur just after
hydrogen ignition. However, this X-ray flash has never been observationally
confirmed. We present four theoretical light curves of the X-ray flash for two
very massive white dwarfs (WDs) of 1.380 and 1.385 M_sun and for two recurrence
periods of 0.5 and 1 years. The duration of the X-ray flash is shorter for a
more massive WD and for a longer recurrence period. The shortest duration of 14
hours (0.6 days) among the four cases is obtained for the 1.385 M_sun WD with
one year recurrence period. In general, a nova explosion is relatively weak for
a very short recurrence period, which results in a rather slow evolution toward
the optical peak. This slow timescale and the predictability of very short
recurrence period novae give us a chance to observe X-ray flashes of recurrent
novae. In this context, we report the first attempt, using the Swift
observatory, to detect an X-ray flash of the recurrent nova M31N 2008-12a (0.5
or 1 year recurrence period), which resulted in the non-detection of X-ray
emission during the period of 8 days before the optical detection. We discuss
the impact of these observations on nova outburst theory. The X-ray flash is
one of the last frontiers of nova studies and its detection is essentially
important to understand the pre-optical-maximum phase. We encourage further
observations.


title:
Diffuse interface approaches in atmosphere and ocean - modeling and
  numerical implementation

abstract:
  We propose to model physical effects at the sharp density interface between
atmosphere and ocean with the help of diffuse interface approaches for
multiphase flows with variable densities. We use the variable-density model
proposed in \cite{m6:AbelsGarckeGruen_CHNSmodell}. This results in a
Cahn-Hilliard/Navier-Stokes type system which we complement with tangential
Dirichlet boundary conditions to incorporate the effect of wind in the
atmosphere. Wind is responsible for waves at the surface of the ocean, whose
dynamics have an important impact on the $CO_2-$exchange between ocean and
atmosphere. We tackle this mathematical model numerically with fully adaptive
and integrated numerical schemes tailored to the simulation of variable density
multiphase flows governed by diffuse interface models. Here, {\it fully
adaptive, integrated, efficient, and reliable} means that the mesh resolution
is chosen by the numerical algorithm according to a prescribed error tolerance
in the {\it a posteriori} error control on the basis of residual-based error
indicators, which allow to estimate the true error from below (efficient) and
from above (reliable). Our approach is based on the work of
\cite{m6:HintermuellerHinzeKahle_adaptiveCHNS,m6:GarckeHinzeKahle_CHNS_AGG_linearStableTimeDisc},
where a fully adaptive efficient and reliable numerical method for the
simulation of two-dimensional multiphase flows with variable densities is
developed. We incorporate the stimulation of surface waves via appropriate
boundary conditions.


title:
A Multiple Kernel Learning Approach for Human Behavioral Task
  Classification using STN-LFP Signal

abstract:
  Deep Brain Stimulation (DBS) has gained increasing attention as an effective
method to mitigate Parkinsons disease (PD) disorders. Existing DBS systems are
open-loop such that the system parameters are not adjusted automatically based
on patients behavior. Classification of human behavior is an important step in
the design of the next generation of DBS systems that are closed-loop. This
paper presents a classification approach to recognize such behavioral tasks
using the subthalamic nucleus (STN) Local Field Potential (LFP) signals. In our
approach, we use the time-frequency representation (spectrogram) of the raw LFP
signals recorded from left and right STNs as the feature vectors. Then these
features are combined together via Support Vector Machines (SVM) with Multiple
Kernel Learning (MKL) formulation. The MKL-based classification method is
utilized to classify different tasks: button press, mouth movement, speech, and
arm movement. Our experiments show that the lp-norm MKL significantly
outperforms single kernel SVM-based classifiers in classifying behavioral tasks
of five subjects even using signals acquired with a low sampling rate of 10 Hz.
This leads to a lower computational cost.


title: ATGV-Net: Accurate Depth Super-Resolution

abstract:
  In this work we present a novel approach for single depth map
super-resolution. Modern consumer depth sensors, especially Time-of-Flight
sensors, produce dense depth measurements, but are affected by noise and have a
low lateral resolution. We propose a method that combines the benefits of
recent advances in machine learning based single image super-resolution, i.e.
deep convolutional networks, with a variational method to recover accurate
high-resolution depth maps. In particular, we integrate a variational method
that models the piecewise affine structures apparent in depth data via an
anisotropic total generalized variation regularization term on top of a deep
network. We call our method ATGV-Net and train it end-to-end by unrolling the
optimization procedure of the variational method. To train deep networks, a
large corpus of training data with accurate ground-truth is required. We
demonstrate that it is feasible to train our method solely on synthetic data
that we generate in large quantities for this task. Our evaluations show that
we achieve state-of-the-art results on three different benchmarks, as well as
on a challenging Time-of-Flight dataset, all without utilizing an additional
intensity image as guidance.


title: Nuclear Physics Meets the Sources of the Ultra-High Energy Cosmic Rays

abstract:
  The determination of the injection composition of cosmic ray nuclei within
astrophysical sources requires sufficiently accurate descriptions of the source
physics and the propagation - apart from controlling astrophysical
uncertainties. We therefore study the implications of nuclear data and models
for cosmic ray astrophysics, which involves the photo-disintegration of nuclei
up to iron in astrophysical environments. We demonstrate that the impact of
nuclear model uncertainties is potentially larger in environments with
non-thermal radiation fields than in the cosmic microwave background. We also
study the impact of nuclear models on the nuclear cascade in a gamma-ray burst
radiation field, simulated at a level of complexity comparable to the most
precise cosmic ray propagation code. We conclude with an isotope chart
describing which information is in principle necessary to describe nuclear
interactions in cosmic ray sources and propagation.


title:
Unified theory of electron-phonon renormalization and phonon-assisted
  optical absorption

abstract:
  We present a theory of electronic excitation energies and optical absorption
spectra which incorporates energy-level renormalization and phonon-assisted
optical absorption within a unified framework. Using time-independent
perturbation theory we show how the standard approaches for studying vibronic
effects in molecules and those for addressing electron-phonon interactions in
solids correspond to slightly different choices for the non-interacting
Hamiltonian. Our present approach naturally leads to the Allen-Heine theory of
temperature-dependent energy levels, the Franck-Condon principle, the
Herzberg-Teller effect and to phonon-assisted optical absorption in indirect
band gap materials. In addition, our theory predicts sub-gap phonon-assisted
optical absorption in direct gap materials, as well as an exponential edge
which we tentatively assign to the Urbach tail. We also consider a
semiclassical approach to the calculation of optical absorption spectra which
simultaneously captures energy-level renormalization and phonon-assisted
transitions and is especially suited to first-principles electronic structure
calculations. We demonstrate this approach by calculating the phonon-assisted
optical absorption spectrum of bulk silicon.


title:
Herschel-PACS observations of far-IR lines in YSOs I: [OI] and H2O at 63
  microns

abstract:
  Gas plays a major role in the dynamical evolution of young stellar objects.
Its interaction with the dust is the key to our understanding planet formation
later on in the protoplanetary disc stage. Studying the gas content is a
crucial step towards understanding YSO and planet formation. Such a study can
be made through spectroscopic observations of emission lines in the
far-infrared, where some of the most important gas coolants emit. We provide a
compilation of observations of far-IR lines in 362 young stellar objects
covering all evolutionary stages, from Class 0 to Class III with debris discs.
In the present paper we focus on [OI] and o-H2O emission at 63 microns. We have
retrieved all the available Herschel -PACS spectroscopic observations at 63
microns that used the dominant observing mode, the chop-nod technique. We
provide measurements of line fluxes for the [OI] 3P1-3P2 and o-H2O 808-717
transitions at 63 microns computed using different methods. We check for
spatially extended emission and further study the presence of multiple
dynamical components in line emission. The final compilation consists of line
and continuum fluxes at 63 microns for a total of 362 young stellar objects
(YSOs). We detected [OI] line emission at 63 microns in 194 sources out of 362,
and line absorption in another five sources. o-H2O was detected in 42 sources.
We find evidence of extended [OI] emission in 77 sources, and detect 3sigma
residual emission in 71 of them. We also looked for different components
contributing to the line emission, and found evidence for multiple components
in 30 sources. We explored correlations between line emission and continuum
emission and find a clear correlation between WISE fluxes from 4.6 to 22
microns and [OI] line emission. We conclude that the observed emission is
typically a combination of disc/envelope and jet emission.


title: Structure of a Water Monolayer on the Anatase TiO$_2$(101) Surface

abstract:
  Titanium dioxide (TiO$_2$) plays a central role in the study of artificial
photosynthesis, owing to its ability to perform photocatalytic water splitting.
Despite over four decades of intense research efforts in this area, there is
still some debate over the nature of the first water monolayer on the
technologically-relevant anatase TiO$_2$ (101) surface. In this work we use
first-principles calculations to reverse-engineer the experimental
high-resolution X-ray photoelectron spectra measured for this surface in [Walle
et al., J. Phys. Chem. C 115, 9545 (2011)], and find evidence supporting the
existence of a mix of dissociated and molecular water in the first monolayer.
Using both semilocal and hybrid functional calculations we revise the current
understanding of the adsorption energetics by showing that the energetic cost
of water dissociation is reduced via the formation of a hydrogen-bonded
hydroxyl-water complex. We also show that such a complex can provide an
explanation of an unusual superstructure observed in high-resolution scanning
tunneling microscopy experiments.


title:
Quantitative analysis of valence photoemission spectra and quasiparticle
  excitations at chromophore-semiconductor interfaces

abstract:
  Investigating quasiparticle excitations of molecules on surfaces through
photoemission spectroscopy forms a major part of nanotechnology research.
Resolving spectral features at these interfaces requires a comprehensive theory
of electron removal and addition processes in molecules and solids which
captures the complex interplay of image charges, thermal effects and
configurational disorder. We here develop such a theory and calculate the
quasiparticle energy-level alignment and the valence photoemission spectrum for
the prototype biomimetic solar cell interface between anatase TiO2 and the N3
chromophore. By directly matching our calculated photoemission spectrum to
experimental data we clarify the atomistic origin of the chromophore peak at
low binding energy. This case study sets a new standard in the interpretation
of photoemission spectroscopy at complex chromophore/semiconductor interfaces.


title:
Finiteness of rational curves of degree 12 on a general quintic
  threefold

abstract:
  We prove the following statement, predicted by Clemens' conjecture: A generic
quintic threefold contains only finitely many smooth rational curves of degree
12.


title: System-level Scalable Checkpoint-Restart for Petascale Computing

abstract:
  Fault tolerance for the upcoming exascale generation has long been an area of
active research. One of the components of a fault tolerance strategy is
checkpointing. Petascale-level checkpointing is demonstrated through a new
mechanism for virtualization of the InfiniBand UD (unreliable datagram) mode,
and for updating the remote address on each UD-based send, due to lack of a
fixed peer. Note that InfiniBand UD is required to support modern MPI
implementations. An extrapolation from the current results to future SSD-based
storage systems provides evidence that the current approach will remain
practical in the exascale generation. This transparent checkpointing approach
is evaluated using a framework of the DMTCP checkpointing package. Results are
shown for HPCG (linear algebra), NAMD (molecular dynamics), and the NAS NPB
benchmarks. In tests up to 32,752 MPI processes on 32,752 CPU cores,
checkpointing of a computation with a 38 TB memory footprint in 11 minutes is
demonstrated. Runtime overhead is reduced to less than 1%. The approach is also
evaluated across three widely used MPI implementations.


title:
Synthesis of the Einstein-Podolsky-Rosen entanglement in a sequence of
  two single-mode squeezers

abstract:
  Synthesis of the Einstein-Podolsky-Rosen entangled state --- the primary
entangled resource in continuous-variable quantum-optical information
processing --- is a technological challenge of great importance. Here we
propose and implement a new scheme of generating this state. Two nonlinear
optical crystals, positioned back-to-back in the waist of a pump beam, function
as single-pass degenerate optical parametric amplifiers and produce single-mode
squeezed vacuum states in orthogonal polarization modes, but in the same
spatiotemporal mode. A subsequent pair of waveplates acts as a beam splitter,
entangling the two polarization modes to generate the Einstein-Podolsky-Rosen
state. This technique takes advantage of the strong nonlinearity associated
with type-I phase-matching configuration while at the same time eliminating the
need for actively stabilizing the optical phase between the two squeezers,
which typically arises if these squeezers are spatially separated. We
demonstrate our method in an experiment, preparing a 1.4 dB two-mode squeezed
state and characterizing it via two-mode homodyne tomography.


title: Total quantum coherence and its applications

abstract:
  Quantum coherence is the most fundamental feature of quantum mechanics. The
usual understanding of it depends on the choice of the basis, that is, the
coherence of the same quantum state is different within different reference
framework. To reveal all the potential coherence, we present the total quantum
coherence measures in terms of two different methods. One is optimizing maximal
basis-dependent coherence with all potential bases considered and the other is
quantifying the distance between the state and the incoherent state set.
Interestingly, the coherence measures based on relative entropy and $l_2$ norm
have the same form in the two different methods. In particular, we show that
the measures based on the non-contractive $l_2$ norm is also a good measure
different from the basis-dependent coherence. In addition, we show that all the
measures are analytically calculable and have all the good properties. The
experimental schemes for the detection of these coherence measures are also
proposed by multiple copies of quantum states instead of reconstructing the
full density matrix. By studying one type of quantum probing schemes, we find
that both the normalized trace in the scheme of deterministic quantum
computation with one qubit (DQC1) and the overlap of two states in quantum
overlap measurement schemes (QOM) can be well described by the change of total
coherence of the probing qubit. Hence the nontrivial probing always leads to
the change of the total coherence.


title: Interference-based molecular transistors

abstract:
  Molecular transistors have the potential for switching with lower gate
voltages than conventional field-effect transistors. We have calculated the
performance of a single-molecule device in which there is interference between
electron transport through the highest occupied molecular orbital and the
lowest unoccupied molecular orbital of a single molecule. Quantum interference
results in a subthreshold slope that is independent of temperature. For
realistic parameters the change in gate potential required for a change in
source-drain current of two decades is 20 mV, which is a factor of six smaller
than the theoretical limit for a metal-oxide-semiconductor field-effect
transistor.


title:
Isothermal anisotropic magnetoresistance in antiferromagnetic metallic
  IrMn

abstract:
  Antiferromagnetic spintronics is an emerging field; antiferromagnets can
improve the functionalities of ferromagnets with higher response times, and
having the information shielded against external magnetic field. Moreover, a
large list of aniferromagnetic semiconductors and metals with N\'eel
temperatures above room temperature exists. In the present manuscript, we
persevere in the quest for the limits of how large can anisotropic
magnetoresistance be in antiferromagnetic materials with very large spin-orbit
coupling. We selected IrMn as a prime example of first-class moment (Mn) and
spin-orbit (Ir) combination. Isothermal magnetotransport measurements in an
antiferromagnetic-metal(IrMn)/ferromagnetic-insulator thin film bilayer have
been performed. The metal/insulator structure with magnetic coupling between
both layers allows the measurement of the modulation of the transport
properties exclusively in the antiferromagnetic layer. Anisotropic
magnetoresistance as large as 0.15 % has been found, which is much larger than
that for a bare IrMn layer. Interestingly, it has been observed that
anisotropic magnetoresistance is strongly influenced by the field cooling
conditions, signaling the dependence of the found response on the formation of
domains at the magnetic ordering temperature.


title:
Distribution of Standard deviation of an observable among superposed
  states

abstract:
  The standard deviation (SD) quantifies the spread of the observed values on a
measurement of an observable. In this paper, we study the distribution of SD
among the different components of a superposition state. It is found that the
SD of an observable on a superposition state can be well bounded by the SDs of
the superposed states. We also show that the bounds also serve as good bounds
on coherence of a superposition state. As a further generalization, we give an
alternative definition of incompatibility of two observables subject to a given
state and show how the incompatibility subject to a superposition state is
distributed.


title: A direct evaluation of an integral of Ismail and Valent

abstract:
  We give a direct evaluation of a curious integral identity, which follows
from the work of Ismail and Valent on the Nevanlinna parametrization of
solutions to a certain indeterminate moment problem.


title:
Efficient measurement-device-independent detection of multipartite
  entanglement structure

abstract:
  Witnessing entanglement is crucial in quantum information processing. With
properly preparing ancillary states, it has been shown previously that genuine
entanglement can be witnessed without trusting measurement devices. In this
work, we generalize the scenario and show that generic multipartite
entanglement structures, including entanglement of subsystems and entanglement
depth, can be witnessed via measurement-device-independent means. As the
original measurement-device-independent entanglement witness scheme exploits
only one out of four Bell measurement outcomes for each party, a direct
generalization to multipartite quantum states will inevitably cause
inefficiency in entanglement detection after taking account of statistical
fluctuations. To resolve this problem, we also present a way to utilize all the
measurement outcomes. The scheme is efficient for multipartite entanglement
detection and can be realized with state-of-the-art technologies.


title: Constructing measures with identical moments

abstract:
  The Nevanlinna parametrization establishes a bijection between the class of
all measures having a prescribed set of moments and the class of Pick
functions. The fact that all measures constructed through the Nevanlinna
parametrization have identical moments follows from the theory of orthogonal
polynomials and continued fractions. In this paper we explore the opposite
direction: we construct a set of measures and we show that they all have
identical moments, and then we establish a Nevanlinna-type parametrization for
this set of measures. Our construction does not require the theory of
orthogonal polynomials and it exposes the analytic structure behind the
Nevanlinna parametrization.


title:
Sensitivity of the T2K accelerator-based neutrino experiment with an
  Extended run to $20\times10^{21}$ POT

abstract:
  Recent measurements at the T2K experiment indicate that CP violation in
neutrino mixing may be observed in the future by long-baseline neutrino
oscillation experiments. We explore the physics program of an extension to the
currently approved T2K running of $7.8\times 10^{21}$ protons-on-target to
$20\times 10^{21}$ protons-on-target,aiming at initial observation of CP
violation with 3$\,\sigma$ or higher significance for the case of maximum CP
violation. With accelerator and beam line upgrades, as well as analysis
improvements, this program would occur before the next generation of
long-baseline neutrino oscillation experiments that are expected to start
operation in 2026.


title:
Similarities and uniqueness of Ly$\alpha$ emitters among star-forming
  galaxies at z=2.5

abstract:
  We conducted a deep narrow-band imaging survey with the Subaru Prime Focus
Camera on the Subaru Telescope and constructed a sample of Ly$\alpha$ emitters
(LAEs) at z=2.53 in the UDS-CANDELS field where a sample of H$\alpha$ emitters
(HAEs) at the same redshift is already obtained from our previous narrow-band
observation at NIR. The deep narrow-band and multi broadband data allow us to
find LAEs of stellar masses and star-formation rates (SFRs) down to
$\gtrsim$$10^8$ M$_\odot$ and $\gtrsim$0.2 M$_\odot$/yr, respectively. We show
that the LAEs are located along the same mass-SFR sequence traced by normal
star-forming galaxies such as HAEs, but towards a significantly lower mass
regime. Likewise, LAEs seem to share the same mass--size relation with typical
star-forming galaxies, except for the massive LAEs, which tend to show
significantly compact sizes. We identify a vigorous mass growth in the central
part of LAEs: the stellar mass density in the central region of LAEs increases
as their total galaxy mass grows. On the other hand, we see no Ly$\alpha$ line
in emission for most of the HAEs. Rather, we find that the Ly$\alpha$ feature
is either absent or in absorption (Ly$\alpha$ absorbers; LAAs), and its
absorption strength may increase with reddening of the UV continuum slope. We
demonstrate that a deep Ly$\alpha$ narrow-band imaging like this study is able
to search for not only LAEs but also LAAs in a certain redshift slice. This
work suggests that LAEs trace normal star-forming galaxies in the low-mass
regime, while they remain as a unique population because the majority of HAEs
are not LAEs.


title:
Observation and Characterization of a Cosmic Muon Neutrino Flux from the
  Northern Hemisphere using six years of IceCube data

abstract:
  The IceCube Collaboration has previously discovered a high-energy
astrophysical neutrino flux using neutrino events with interaction vertices
contained within the instrumented volume of the IceCube detector. We present a
complementary measurement using charged current muon neutrino events where the
interaction vertex can be outside this volume. As a consequence of the large
muon range the effective area is significantly larger but the field of view is
restricted to the Northern Hemisphere. IceCube data from 2009 through 2015 have
been analyzed using a likelihood approach based on the reconstructed muon
energy and zenith angle. At the highest neutrino energies between 191 TeV and
8.3 PeV a significant astrophysical contribution is observed, excluding a
purely atmospheric origin of these events at $5.6\,\sigma$ significance. The
data are well described by an isotropic, unbroken power law flux with a
normalization at 100 TeV neutrino energy of
$\left(0.90^{+0.30}_{-0.27}\right)\times10^{-18}\,\mathrm{GeV^{-1}\,cm^{-2}\,s^{-1}\,sr^{-1}}$
and a hard spectral index of $\gamma=2.13\pm0.13$. The observed spectrum is
harder in comparison to previous IceCube analyses with lower energy thresholds
which may indicate a break in the astrophysical neutrino spectrum of unknown
origin. The highest energy event observed has a reconstructed muon energy of
$(4.5\pm1.2)\,\mathrm{PeV}$ which implies a probability of less than 0.005% for
this event to be of atmospheric origin. Analyzing the arrival directions of all
events with reconstructed muon energies above 200 TeV no correlation with known
$\gamma$-ray sources was found. Using the high statistics of atmospheric
neutrinos we report the currently best constraints on a prompt atmospheric muon
neutrino flux originating from charmed meson decays which is below $1.06$ in
units of the flux normalization of the model in Enberg et al. (2008).


title:
Spectroscopy and perturbation analysis of the A$^1\Pi$(v=0) state of
  $^{13}$C$^{16}$O

abstract:
  The lowest $v=0$ level of the A$^1\Pi$, state of the $^{13}$C$^{16}$O
isotopologue of carbon monoxide has been reinvestigated with a variety of high
resolution spectroscopic techniques. The A$^1\Pi-$X$^1\Sigma^+(0,0)$ band has
been studied by vacuum-ultraviolet Fourier-transform absorption spectroscopy,
using the SOLEIL synchrotron as a radiation source. Spectra were obtained under
quasi-static gas conditions at liquid-nitrogen temperature, room temperature
and at an elevated temperature of 900 K, with absolute accuracies of
0.01$-$0.03 cm$^{-1}$. Two-photon Doppler-free laser spectroscopy has been
applied to a limited number of transitions in the A$^1\Pi-$X$^1\Sigma^+(0,0)$
band, under collision-free circumstances of a molecular beam, yielding an
absolute accuracy of 0.002 cm$^{-1}$. The third technique is high-resolution
Fourier-transform emission spectroscopy in the visible region applied to the
B$^1\Sigma^+-$A$^1\Pi(0,0)$ band in a gas discharge, at an absolute accuracy of
up to 0.003 cm$^{-1}$. With these methods rotational levels of A$^1\Pi(0)$
could be studied in both parity components up to a rotational quantum number of
$J=46$. The frequencies of 397 transitions were used to analyse the
perturbations between the A$^1\Pi(0)$ level by vibrational levels of the
D$^1\!\Delta$, e$^3\Sigma^-$, d$^3\!\Delta$, and a$'^3\Sigma^+$ states.


title:
Theory of proximity-induced exchange coupling in graphene on hBN/(Co,
  Ni)

abstract:
  We perform systematic first-principles calculations of the proximity exchange
coupling, induced by cobalt (Co) and nickel (Ni) in graphene, via a few (up to
three) layers of hexagonal boron nitride (hBN). We find that the induced spin
splitting of the graphene bands is of the order of 10 meV for a monolayer of
hBN, decreasing in magnitude but alternating in sign by adding each new
insulating layer. We find that the proximity exchange can be giant if there is
a resonant $d$ level of the transition metal close to the Dirac point. Our
calculations suggest that this effect could be present in Co heterostructures,
in which a $d$ level strongly hybridizes with the valence-band orbitals of
graphene. Since this hybridization is spin dependent, the proximity spin
splitting is unusually large, about 10 meV even for two layers of hBN. An
external electric field can change the offset of the graphene and
transition-metal orbitals and can lead to a reversal of the sign of the
exchange parameter. This we predict to happen for the case of two monolayers of
hBN, enabling electrical control of proximity spin polarization (but also spin
injection) in graphene/hBN/Co structures. Nickel-based heterostructures show
weaker proximity effects than cobalt heterostructures. We introduce two
phenomenological models to describe the first-principles data. The minimal
model comprises the graphene (effective) $p_z$ orbitals and can be used to
study transport in graphene with proximity exchange, while the $p_z$-$d$ model
also includes hybridization with $d$ orbitals, which is important to capture
the giant proximity exchange. Crucial to both models is the
pseudospin-dependent exchange coupling, needed to describe the different spin
splittings of the valence and conduction bands.


title:
A mathematical model for growth of solid tumors and combination therapy
  with an application to colorectal cancer

abstract:
  We present a mathematical model, based on ordinary differential equations,
for the evolution of solid tumors and their response to treatment. Specifically
the effects of a cytotoxic agent and a monoclonal antibody are included as
control term in the equations. The variables considered here are: the number of
cancerous cells sensitive to chemotherapy, the number of cancerous cells
resistant to chemotherapy, the degree of angiogenesis and the average intensity
of VEGF. The rules that govern the quantities mentioned above are based on a
geometrical argument: we approximate the tumor mass as a sphere and thus derive
basic formulae for the normoxic cells and for VEGF production. The monoclonal
antibody acts on VEGF and thus has in uence to the global degree of
angiogenesis. Numerical estimates on some of the parameters are performed in
order to match the main landmark in tumor progression and reaction to treatment
in the specific case of colorectal cancer.


title: Factorization of the dijet cross section in hadron-hadron collisions

abstract:
  The factorization theorem for the dijet cross section is presented in
hadron-hadron collisions with a cone-type jet algorithm. We also apply the beam
veto to the beam jets consisting of the initial radiation. The soft-collinear
effective theory is employed to see the factorization structure transparently
when there are four distinct lightcone directions involved. There are various
types of divergences such as the ultraviolet and infrared divergences. And when
the phase space is divided to probe the collinear and the soft parts, there
appears an additional divergence called rapidity divergence. These divergences
are sorted out and we will show that all the infrared and rapidity divergences
cancel, and only the ultraviolet divergence remains. It is a vital step to
justify the factorization. Among many partonic processes, we take
$q\overline{q} \rightarrow gg$ as a specific example to consider the dijet
cross section. The hard and the soft functions have nontrivial color structure,
while the jet and the beam functions are diagonal in operator basis. The
dependence of the soft anomalous dimension on the jet algorithm and the beam
veto is diagonal in operator space, and is cancelled by that of the jet and
beam functions. We also compute the anomalous dimensions of the factorized
components, and resum the large logarithms to next-to-leading logarithmic
accuracy by solving the renormalization group equation.


title: Understanding the limits of LoRaWAN

abstract:
  The quick proliferation of LPWAN networks, being LoRaWAN one of the most
adopted, raised the interest of the industry, network operators and facilitated
the development of novel services based on large scale and simple network
structures. LoRaWAN brings the desired ubiquitous connectivity to enable most
of the outdoor IoT applications and its growth and quick adoption are real
proofs of that. Yet the technology has some limitations that need to be
understood in order to avoid over-use of the technology. In this article we aim
to provide an impartial overview of what are the limitations of such
technology, and in a comprehensive manner bring use case examples to show where
the limits are.


title: Learning of Generalized Low-Rank Models: A Greedy Approach

abstract:
  Learning of low-rank matrices is fundamental to many machine learning
applications. A state-of-the-art algorithm is the rank-one matrix pursuit
(R1MP). However, it can only be used in matrix completion problems with the
square loss. In this paper, we develop a more flexible greedy algorithm for
generalized low-rank models whose optimization objective can be smooth or
nonsmooth, general convex or strongly convex. The proposed algorithm has low
per-iteration time complexity and fast convergence rate. Experimental results
show that it is much faster than the state-of-the-art, with comparable or even
better prediction performance.


title: Random Walks on Graphs and Approximation of L2-Invariants

abstract:
  Right multiplication operators $R_w: l_2G \rightarrow l_2G$, $w \in \C[G]$,
are interpreted as random-walk operators on labelled graphs that are analogous
to Cayley graphs. Applying a generalization of the graph convergence defined by
R. Grigorchuk and A. \.{Z}uk \cite{Grigorchuk_Zuk_1} gives a new proof and
interpretation of a special case of W. L\"{u}ck's famous Theorem on the
Approximation of $l_2$-Betti numbers for countable residually finite groups. In
particular, using this interpretation, the proof follows quickly from standard
theorems about the weak convergence of probability measures that are
characterized by their moments.


title: The geometry of differential constraints for a class of evolution PDEs

abstract:
  The problem of computing differential constraints for a family of evolution
PDEs is discussed from a constructive point of view. A new method, based on the
existence of generalized characteristics for evolution vector fields, is
proposed in order to obtain explicit differential constraints for PDEs
belonging to this family. Several examples, with applications in non-linear
stochastic filtering theory, stochastic perturbation of soliton equations and
non-isospectral integrable systems, are discussed in detail to verify the
effectiveness of the method.


title: Stochastic cycle selection in active flow networks

abstract:
  Active biological flow networks pervade nature and span a wide range of
scales, from arterial blood vessels and bronchial mucus transport in humans to
bacterial flow through porous media or plasmodial shuttle streaming in slime
molds. Despite their ubiquity, little is known about the self-organization
principles that govern flow statistics in such non-equilibrium networks. Here
we connect concepts from lattice field theory, graph theory, and transition
rate theory to understand how topology controls dynamics in a generic model for
actively driven flow on a network. Our combined theoretical and numerical
analysis identifies symmetry-based rules that make it possible to classify and
predict the selection statistics of complex flow cycles from the network
topology. The conceptual framework developed here is applicable to a broad
class of non-biological far-from-equilibrium networks, including actively
controlled information flows, and establishes a new correspondence between
active flow networks and generalized ice-type models.


title: Dark sectors of the Universe: A Euclid survey approach

abstract:
  In this paper we study the consequences of relaxing the hypothesis of the
pressureless nature of the dark matter component when determining constraints
on dark energy. To this aim we consider simple generalized dark matter models
with constant equation of state parameter. We find that present-day
low-redshift probes (type-Ia supernovae and baryonic acoustic oscillations)
lead to a complete degeneracy between the dark energy and the dark matter
sectors. However, adding the cosmic microwave background (CMB) high-redshift
probe restores constraints similar to those on the standard $\Lambda$CDM model.
We then examine the anticipated constraints from the galaxy clustering probe of
the future Euclid survey on the same class of models, using a Fisher forecast
estimation. We show that the Euclid survey allows us to break the degeneracy
between the dark sectors, although the constraints on dark energy are much
weaker than with standard dark matter. The use of CMB in combination allows us
to restore the high precision on the dark energy sector constraints.


title:
Alloy-like behaviour of the thermal conductivity of non-symmetric
  superlattices

abstract:
  In this work, we show a phenomenological alloy-like fit of the thermal
conductivity of (A)d1:(B)d2 superlattices with d1 /= d2, i.e. non-symmetric
structure. The presented method is a generalization of the Norbury rule of the
summation of thermal resistivities in alloy compounds. Namely, we show that
this approach can be also extended to describe the thermal properties of
crystalline and ordered-system composed by two or more elements, and, has a
potentially much wider application range. Using this approximation we estimate
that the interface thermal resistance depends on the period and the ratio of
materials that form the superlattice structure


title: On Order Ideals of Minuscule Posets III: The CDE Property

abstract:
  Recent work of Hopkins establishes that the lattice of order ideals of a
minuscule poset satisfies the coincidental down-degree expectations property of
Reiner, Tenner, and Yong. His approach appeals to the classification of
minuscule posets. A uniform proof is presented herein.
  The blueprint follows that of Rush and Wang in their uniform proof that
various cardinality statistics are homomesic on orbits of order ideals of
minuscule posets under the Fon-Der-Flaass action. The underpinning remains the
original insight of Rush and Shi into the structure of the isomorphism between
the weight lattice of a minuscule representation of a complex simple Lie
algebra and the lattice of order ideals of the corresponding minuscule poset.


title:
Third-order Finite Volume/Finite Element Solution of the Fully Nonlinear
  Weakly Dispersive Serre Equations

abstract:
  The nonlinear weakly dispersive Serre equations contain higher-order
dispersive terms. This includes a mixed derivative flux term which is difficult
to handle numerically. The mix spatial and temporal derivative dispersive term
is replaced by a combination of temporal and spatial terms. The Serre equations
are re-written so that the system of equations contain homogeneous derivative
terms only. The reformulated Serre equations involve the water depth and a new
quantity as the conserved variables which are evolved using the finite volume
method. The remaining primitive variable, the velocity is obtained by solving a
second-order elliptic equation using the finite element method. To avoid the
introduction of numerical dispersion that may dominate the physical dispersion,
the hybrid scheme has third-order accuracy. Using analytical solutions,
laboratory flume data and by simulating the dam-break problem, the proposed
scheme is shown to be accurate, simple to implement and stable for a range of
problems, including discontinuous flows.


title:
Unstable nuclei in dissociation of light stable and radioactive nuclei
  in nuclear track emulsion

abstract:
  A role of the unstable nuclei ${}^{6}$Be, ${}^{8}$Be and ${}^{9}$B in the
dissociation of relativistic nuclei ${}^{7,9}$Be, ${}^{10}$B and ${}^{10,11}$C
is under study on the basis of nuclear track emulsion exposed to secondary
beams of the JINR Nuclotron. Contribution of the configuration ${}^{6}$Be +
$\mit{n}$ to the ${}^{7}$Be nucleus structure is 8 $\pm$ 1% which is near the
value for the configuration ${}^{6}$Li + $\mit{p}$. Distributions over the
opening angle of $\alpha$-particle pairs indicate to a simultaneous presence of
virtual ${}^{8}$Be$_{g.s.}$ and ${}^{8}$Be$_{2^+}$ states in the ground states
of the ${}^{9}$Be and ${}^{10}$C nuclei. The core ${}^{9}$B is manifested in
the {${}^{10}$C} nucleus with a probability of 30 $\pm$ 4%. Selection of the
${}^{10}$C "white" stars accompanied by ${}^{8}$Be$_{g.s.}$ (${}^{9}$B) leads
to appearance in the excitation energy distribution of 2$\alpha$2$\mit{p}$
"quartets" of the distinct peak with a maximum at 4.1 $\pm$ 0.3 MeV.
${}^{8}$Be$_{g.s.}$ decays are presented in 24 $\pm$ 7% of 2He + 2H events of
the ${}^{11}$C coherent dissociation and 27 $\pm$ 11% of the 3He ones. The
channel ${}^{9}$B + H amounts 14 $\pm$ 3%. The ${}^{8}$Be$_{g.s.}$ nucleus is
manifested in the coherent dissociation ${}^{10}$B $\to$ 2He + H with a
probability of 25 $\pm$ 5% including 14 $\pm$ 3% of ${}^{9}$B decays. A
probability ratio of the mirror channels ${}^{9}$B + $\mit{n}$ and ${}^{9}$Be +
$\mit{p}$ is estimated to be 6 $\pm$ 1.


title:
Study of a new central compact object: The neutron star in the supernova
  remnant G15.9+0.2

abstract:
  We present our study of the central point source CXOU J181852.0-150213 in the
young Galactic supernova remnant (SNR) G15.9+0.2 based on the recent ~90 ks
Chandra observations. The point source was discovered in 2005 in shorter
Chandra observations and was hypothesized to be a neutron star associated with
the SNR. Our X-ray spectral analysis strongly supports the hypothesis of a
thermally emitting neutron star associated with G15.9+0.2. We conclude that the
object belongs to the class of young cooling low-magnetized neutron stars
referred to as central compact objects (CCOs). We modeled the spectrum of the
neutron star with a blackbody spectral function and with our hydrogen and
carbon neutron star atmosphere models, assuming that the radiation is uniformly
emitted by the entire stellar surface. Under this assumption, only the carbon
atmosphere models yield a distance that is compatible with a source located in
the Galaxy. In this respect, CXOU J181852.0-150213 is similar to two other
well-studied CCOs, the neutron stars in Cas A and in HESS J1731-347, for which
carbon atmosphere models were used to reconcile their emission with the known
or estimated distances.


title: Instance Normalization: The Missing Ingredient for Fast Stylization

abstract:
  It this paper we revisit the fast stylization method introduced in Ulyanov
et. al. (2016). We show how a small change in the stylization architecture
results in a significant qualitative improvement in the generated images. The
change is limited to swapping batch normalization with instance normalization,
and to apply the latter both at training and testing times. The resulting
method can be used to train high-performance architectures for real-time image
generation. The code will is made available on github at
https://github.com/DmitryUlyanov/texture_nets. Full paper can be found at
arXiv:1701.02096.