title: Planetary Embryo Bow Shocks as a Mechanism for Chondrule Formation

abstract:
  We use radiation hydrodynamics with direct particle integration to explore
the feasibility of chondrule formation in planetary embryo bow shocks. The
calculations presented here are used to explore the consequences of a Mars-size
planetary embryo traveling on a moderately excited orbit through the dusty,
early environment of the solar system. The embryo's eccentric orbit produces a
range of supersonic relative velocities between the embryo and the circularly
orbiting gas and dust, prompting the formation of bow shocks. Temporary
atmospheres around these embryos, which can be created via volatile outgassing
and gas capture from the surrounding nebula, can non-trivially affect thermal
profiles of solids entering the shock. We explore the thermal environment of
solids that traverse the bow shock at different impact radii, the effects that
planetoid atmospheres have on shock morphologies, and the stripping efficiency
of planetoidal atmospheres in the presence of high relative winds. Simulations
are run using adiabatic and radiative conditions, with multiple treatments for
the local opacities. Shock speeds of 5, 6, and 7 km/s are explored. We find
that a high-mass atmosphere and inefficient radiative conditions can produce
peak temperatures and cooling rates that are consistent with the constraints
set by chondrule furnace studies. For most conditions, the derived cooling
rates are potentially too high to be consistent with chondrule formation.


title:
Optical Evidence of Itinerant-Localized Crossover of $4f$ Electrons in
  Cerium Compounds

abstract:
  Cerium (Ce)-based heavy-fermion materials have a characteristic double-peak
structure (mid-IR peak) in the optical conductivity [$\sigma(\omega)$] spectra
originating from the strong conduction ($c$)--$f$ electron hybridization. To
clarify the behavior of the mid-IR peak at a low $c$-$f$ hybridization
strength, we compared the $\sigma(\omega)$ spectra of the isostructural
antiferromagnetic and heavy-fermion Ce compounds with the calculated unoccupied
density of states and the spectra obtained from the impurity Anderson model.
With decreasing $c$-$f$ hybridization intensity, the mid-IR peak shifts to the
low-energy side owing to the renormalization of the unoccupied $4f$ state, but
suddenly shifts to the high-energy side owing to the $f$-$f$ on-site Coulomb
interaction at a slight localized side from the quantum critical point (QCP).
This finding gives us information on the change in the electronic structure
across QCP.


title: Flexible Resource Allocation for Clouds and All-Optical Networks

abstract:
  Motivated by the cloud computing paradigm, and by key optimization problems
in all-optical networks, we study two variants of the classic job interval
scheduling problem, where a reusable resource is allocated to competing job
intervals in a flexible manner. Each job, $J_i$, requires the use of up to
$r_{max}(i)$ units of the resource, with a profit of $p_i \geq 1$ accrued for
each allocated unit. The goal is to feasibly schedule a subset of the jobs so
as to maximize the total profit. The resource can be allocated either in
contiguous or non-contiguous blocks. These problems can be viewed as flexible
variants of the well known storage allocation and bandwidth allocation
problems.
  We show that the contiguous version is strongly NP-hard, already for
instances where all jobs have the same profit and the same maximum resource
requirement. For such instances, we derive the best possible positive result,
namely, a polynomial time approximation scheme. We further show that the
contiguous variant admits a $(\frac{5}{4} + \varepsilon)$-approximation
algorithm, for any fixed $\varepsilon > 0$, on instances whose job intervals
form a proper interval graph. At the heart of the algorithm lies a non-standard
parameterization of the approximation ratio itself, which is of independent
interest.
  For the non-contiguous case, we uncover an interesting relation to the paging
problem that leads to a simple $O(n \log n)$ algorithm for uniform profit
instances of n jobs. The algorithm is easy to implement and is thus practical.


title: Decomposition Methods for Nonlinear Optimization and Data Mining

abstract:
  We focus on two central themes in this dissertation. The first one is on
decomposing polytopes and polynomials in ways that allow us to perform
nonlinear optimization. We start off by explaining important results on
decomposing a polytope into special polyhedra. We use these decompositions and
develop methods for computing a special class of integrals exactly. Namely, we
are interested in computing the exact value of integrals of polynomial
functions over convex polyhedra. We present prior work and new extensions of
the integration algorithms. Every integration method we present requires that
the polynomial has a special form. We explore two special polynomial
decomposition algorithms that are useful for integrating polynomial functions.
Both polynomial decompositions have strengths and weaknesses, and we experiment
with how to practically use them.
  After developing practical algorithms and efficient software tools for
integrating a polynomial over a polytope, we focus on the problem of maximizing
a polynomial function over the continuous domain of a polytope. This
maximization problem is NP-hard, but we develop approximation methods that run
in polynomial time when the dimension is fixed. Moreover, our algorithm for
approximating the maximum of a polynomial over a polytope is related to
integrating the polynomial over the polytope. We show how the integration
methods can be used for optimization.
  The second central topic in this dissertation is on problems in data science.
We first consider a heuristic for mixed-integer linear optimization. We show
how many practical mixed-integer linear have a special substructure containing
set partition constraints. We then describe a nice data structure for finding
feasible zero-one integer solutions to systems of set partition constraints.
Finally, we end with an applied project using data science methods in medical
research.


title:
Multi-Parametric Statistical Method for Estimation of Accumulated
  Fatigue by Sensors in Ordinary Gadgets

abstract:
  The new method is proposed to monitor the level of currently accumulated
fatigue and estimate it by the several statistical methods. The experimental
software application was developed and used to get data from sensors
(accelerometer, GPS, gyroscope, magnetometer, and camera), conducted
experiments, collected data, calculated parameters of their distributions
(mean, standard deviation, skewness, kurtosis), and analyzed them by
statistical methods (moment analysis, cluster analysis, bootstrapping,
periodogram and spectrogram analyses). The hypothesis 1 (physical activity can
be estimated and classified by moment and cluster analysis) and hypothesis 2
(fatigue can be estimated by moment analysis, bootstrapping analysis,
periodogram, and spectrogram) were proposed and proved. Several "fatigue
metrics" were proposed: location, size, shape of clouds of points on
bootstrapping plot. The most promising fatigue metrics is the distance from the
"rest" state point to the "fatigue" state point (sum of 3 squared non-normal
distribution of non-correlated acceleration values) on the skewness-kurtosis
plot. These hypotheses were verified on several persons of various age, gender,
fitness level and improved standard statistical methods in similar researches.
The method can be used in practice for ordinary people in everyday situations
(to estimate their fatigue, give tips about it and advice on context-related
information).


title: On a group-theoretical approach to the curl operator

abstract:
  We utilize group-theoretical methods to develop a matrix representation of
differential operators that act on tensors of any rank. In particular, we
concentrate on the matrix formulation of the curl operator. A self-adjoint
matrix of the curl operator is constructed and its action is extended to a
complex plane. This scheme allows us to obtain properties, similar to those of
the traditional curl operator.


title: A Constant-Factor Bi-Criteria Approximation Guarantee for $k$-means++

abstract:
  This paper studies the $k$-means++ algorithm for clustering as well as the
class of $D^\ell$ sampling algorithms to which $k$-means++ belongs. It is shown
that for any constant factor $\beta > 1$, selecting $\beta k$ cluster centers
by $D^\ell$ sampling yields a constant-factor approximation to the optimal
clustering with $k$ centers, in expectation and without conditions on the
dataset. This result extends the previously known $O(\log k)$ guarantee for the
case $\beta = 1$ to the constant-factor bi-criteria regime. It also improves
upon an existing constant-factor bi-criteria result that holds only with
constant probability.


title: Calibration of the Many-Body Dispersion Range-Separation Parameter

abstract:
  Recent work has shown that a fully many-body treatment of noncovalent
interactions, such as that given by the method of many-body dispersion (MBD),
is vital to accurately modeling the structure and energetics of many molecular
systems with density functional theory (DFT). To avoid double counting the
correlation contributions of DFT and the MBD correction, a single-parameter
range-separation scheme is typically employed. Coupling the MBD correction to a
given exchange-correlation functional therefore requires calibrating the
range-separation parameter. We perform this calibration for 24 popular DFT
functionals by optimizing against the S66x8 benchmark set. Additionally, we
report a linear equation that predicts near optimal range-separation
parameters, dependent only on the class of the exchange functional and the
value of the gradient enhancement factor. When a calibrated MBD correction is
employed, most of the exchange-correlation functionals considered are capable
of achieving agreement with CCSD(T)/CBS interaction energies in the S66x8 set
to better than 1~kcal/mol mean absolute error.


title: Going Deeper into Action Recognition: A Survey

abstract:
  Understanding human actions in visual data is tied to advances in
complementary research areas including object recognition, human dynamics,
domain adaptation and semantic segmentation. Over the last decade, human action
analysis evolved from earlier schemes that are often limited to controlled
environments to nowadays advanced solutions that can learn from millions of
videos and apply to almost all daily activities. Given the broad range of
applications from video surveillance to human-computer interaction, scientific
milestones in action recognition are achieved more rapidly, eventually leading
to the demise of what used to be good in a short time. This motivated us to
provide a comprehensive review of the notable steps taken towards recognizing
human actions. To this end, we start our discussion with the pioneering methods
that use handcrafted representations, and then, navigate into the realm of deep
learning based approaches. We aim to remain objective throughout this survey,
touching upon encouraging improvements as well as inevitable fallbacks, in the
hope of raising fresh questions and motivating new research directions for the
reader.


title:
Architecture-aware Coding for Distributed Storage: Repairable Block
  Failure Resilient Codes

abstract:
  In large scale distributed storage systems (DSS) deployed in cloud computing,
correlated failures resulting in simultaneous failure (or, unavailability) of
blocks of nodes are common. In such scenarios, the stored data or a content of
a failed node can only be reconstructed from the available live nodes belonging
to the available blocks. To analyze the resilience of the system against such
block failures, this work introduces the framework of Block Failure Resilient
(BFR) codes, wherein the data (e.g., a file in DSS) can be decoded by reading
out from a same number of codeword symbols (nodes) from a subset of available
blocks of the underlying codeword. Further, repairable BFR codes are
introduced, wherein any codeword symbol in a failed block can be repaired by
contacting a subset of remaining blocks in the system. File size bounds for
repairable BFR codes are derived, and the trade-off between per node storage
and repair bandwidth is analyzed, and the corresponding minimum storage
regenerating (BFR-MSR) and minimum bandwidth regenerating (BFR-MBR) points are
derived. Explicit codes achieving the two operating points for a special case
of parameters are constructed, wherein the underlying regenerating codewords
are distributed to BFR codeword symbols according to combinatorial designs.
Finally, BFR locally repairable codes (BFR-LRC) are introduced, an upper bound
on the resilience is derived and optimal code construction are provided by a
concatenation of Gabidulin and MDS codes. Repair efficiency of BFR-LRC is
further studied via the use of BFR-MSR/MBR codes as local codes. Code
constructions achieving optimal resilience for BFR-MSR/MBR-LRCs are provided
for certain parameter regimes. Overall, this work introduces the framework of
block failures along with optimal code constructions, and the study of
architecture-aware coding for distributed storage systems.


title:
Bubble-like structures generated by activation of internal shape modes
  in two-dimensional sine-Gordon line solitons

abstract:
  Nonlinear waves that collide with localized defects exhibit complex behavior.
Apart from reflection, transmission, and annihilation of an incident wave, a
local inhomogeneity can activate internal modes of solitons, producing many
impressive phenomena. In this work, we investigate a two-dimensional
sine-Gordon model perturbed by a family of localized forces. We observed the
formation of bubble-like and drop-like structures due to local internal shape
modes instabilities. We describe the formation of such structures on the basis
of a one-dimensional theory of activation of internal modes of sG solitons. An
interpretation of the observed phenomena, in the context of phase transitions
theory, is given. Implications in Josephson junctions with a current dipole
device are discussed.


title:
Fixed point properties of nilpotent and solvable Lie group actions on
  Hadamard manifolds

abstract:
  We will prove the following theorems. The first theorem posits the existence
of a fixed point for the actions of nilpotent Lie groups on nonpositively
curved compact manifolds. The second theorem states that actions of solvable
Lie groups on nonpositively curved compact manifolds have either a fixed point
or a 2-periodic point.


title:
Formation of Overheated Regions and Truncated Disks around Black Holes;
  Three-dimensional General Relativistic Radiation-magnetohydrodynamics
  Simulations

abstract:
  Using three-dimensional general relativistic radiation magnetohydrodynamics
simulations of accretion flows around stellar mass black holes, we report that
the relatively cold disk ($\gtrsim 10^{7}$K) is truncated near the black hole.
Hot and less-dense regions, of which the gas temperature is $ \gtrsim 10^9$K
and more than ten times higher than the radiation temperature (overheated
regions), appear within the truncation radius. The overheated regions also
appear above as well as below the disk, and sandwich the cold disk, leading to
the effective Compton upscattering. The truncation radius is $\sim 30 r_{\rm
g}$ for $\dot{M} \sim L_{\rm Edd}/c^2$, where $r_{\rm g}, \dot M,
L_\mathrm{Edd}, c$ are the gravitational radius, mass accretion rate, Eddington
luminosity, and light speed. Our results are consistent with observations of
very high state, whereby the truncated disk is thought to be embedded in the
hot rarefied regions. The truncation radius shifts inward to $\sim 10 r_{\rm
g}$ with increasing mass accretion rate $\dot{M} \sim 100 L_{\rm Edd}/c^2$,
which is very close to an innermost stable circular orbit. This model
corresponds to the slim disk state observed in ultra luminous X-ray sources.
Although the overheated regions shrink if the Compton cooling effectively
reduces the gas temperature, the sandwich-structure does not disappear at the
range of $\dot{M} \lesssim 100L_{\rm Edd}/c^2$. Our simulations also reveal
that the gas temperature in the overheated regions depends on black hole spin,
which would be due to efficient energy transport from black hole to disks
through the Poynting flux, resulting gas heating.


title:
Solution to HJB equations with an elliptic integro-differential operator
  and gradient constraint

abstract:
  The main goal of this paper is to establish existence, regularity and
uniqueness results for the solution of a Hamilton-Jacobi-Bellman (HJB)
equation, whose operator is an elliptic integro-differential operator. The HJB
equation studied in this work arises in singular stochastic control problems
where the state process is a controlled $d$-dimensional L\'evy process.


title: Algebraic evaluation of matrix elements in the Laguerre function basis

abstract:
  The Laguerre functions constitute one of the fundamental basis sets for
calculations in atomic and molecular electron-structure theory, with
applications in hadronic and nuclear theory as well. While similar in form to
the Coulomb bound-state eigenfunctions (from the Schroedinger eigenproblem) or
the Coulomb-Sturmian functions (from a related Sturm-Liouville problem), the
Laguerre functions, unlike these former functions, constitute a complete,
discrete, orthonormal set for square-integrable functions in three dimensions.
We construct the SU(1,1)xSO(3) dynamical algebra for the Laguerre functions and
apply the ideas of factorization (or supersymmetric quantum mechanics) to
derive shift operators for these functions. We use the resulting algebraic
framework to derive analytic expressions for matrix elements of several basic
radial operators (involving powers of the radial coordinate and radial
derivative) in the Laguerre function basis. We illustrate how matrix elements
for more general spherical tensor operators in three dimensional space, such as
the gradient, may then be constructed from these radial matrix elements.


title: Optimality of two-parameter strategies in stochastic control

abstract:
  In this note, we study a class of stochastic control problems where the
optimal strategies are described by two parameters. These include a subset of
singular control, impulse control, and two-player stochastic games. The
parameters are first chosen by the two continuous/smooth fit conditions, and
then the optimality of the corresponding strategy is shown by verification
arguments. Under the setting driven by a spectrally one-sided Levy process,
these procedures can be efficiently done thanks to the recent developments of
scale functions. In this note, we illustrate these techniques using several
examples where the optimal strategy as well as the value function can be
concisely expressed via scale functions.


title: SemiContour: A Semi-supervised Learning Approach for Contour Detection

abstract:
  Supervised contour detection methods usually require many labeled training
images to obtain satisfactory performance. However, a large set of annotated
data might be unavailable or extremely labor intensive. In this paper, we
investigate the usage of semi-supervised learning (SSL) to obtain competitive
detection accuracy with very limited training data (three labeled images).
Specifically, we propose a semi-supervised structured ensemble learning
approach for contour detection built on structured random forests (SRF). To
allow SRF to be applicable to unlabeled data, we present an effective sparse
representation approach to capture inherent structure in image patches by
finding a compact and discriminative low-dimensional subspace representation in
an unsupervised manner, enabling the incorporation of abundant unlabeled
patches with their estimated structured labels to help SRF perform better node
splitting. We re-examine the role of sparsity and propose a novel and fast
sparse coding algorithm to boost the overall learning efficiency. To the best
of our knowledge, this is the first attempt to apply SSL for contour detection.
Extensive experiments on the BSDS500 segmentation dataset and the NYU Depth
dataset demonstrate the superiority of the proposed method.


title:
Insulator to metal transition of WO3 epitaxial films induced by
  electrochemical Li-ion intercalation

abstract:
  We investigated systematic evolutions of structural and electronic properties
of LixWO3 films, induced by Li-ion electrochemical reactions.
Chronoamperometric Li-ion intercalation could control the amount of Li content
up to x ~ 0.5. The resistivity abruptly decreased with increasing x and the
films underwent an insulator to metal transition (IMT) within a range of 0.2 <
x < 0.24, which was consistent with IMT of cubic NaxWO3. The X-ray diffraction
analyses revealed the coexistence of tetragonal and cubic phases across IMT,
suggesting that the alkaline-ion content was a primary factor for metallic
conductivity in the ReO3-type WO3 system.


title: Dynamic polaron response from variational imaginary time evolution

abstract:
  An variational expression for the zero temperature polaron impedance is
obtained by minimizing the free energy in a generalized quadratic Feynman
model. The impedance function of the quadratic model serves as the variational
parameter. It is shown that a very small change in the energy can be
accompanied by a large change in the optical conductivity. This is related to
the insensitivity of the Jensen-Feynman free energy to the UV properties of the
model. Analytic and numeric results are derived for the Fr\"ohlich polaron in
weak and strong coupling. Standard results are recovered at weak coupling but,
more importantly, strong coupling inconsistencies are removed.


title: High purity NaI(Tl) scintillator to search for dark matter

abstract:
  A high purity and large volume NaI(Tl) scintillator was developed to search
for cosmic dark matter. The required densities of radioactive impurities (RIs)
such as U-chain, Th-chain are less than a few ppt to establish high sensitivity
to dark matter. The impurity of RIs were effectively reduced by selecting raw
materials of crucible and by performing chemical reduction of lead ion in NaI
raw powder. The impurity of $^{226}$Ra was reduced less than 100 $\mu$Bq/kg in
NaI(Tl) crystal. It should be remarked that the impurity of $^{210}$Pb, which
is difficult to reduce, is effectively reduced by chemical processing of NaI
raw powder down to less than 30 $\mu$Bq/kg. The expected sensitivity to cosmic
dark matter by using 250 kg of the high purity and large volume NaI(Tl)
scintillator (PICO-LON; Pure Inorganic Crystal Observatory for LOw-background
Neutr(al)ino) is 7$\times$10$^{-45}$ cm$^{2}$ for 50 GeV$/c^{2}$ WIMPs.


title:
Lower bounds of concurrence for $N$-qubit systems and the detection of
  $k$-nonseparability of multipartite quantum systems

abstract:
  Concurrence, as one of entanglement measures, is a useful tool to
characterize quantum entanglement in various quantum systems. However, the
computation of the concurrence involves difficult optimizations and only for
the case of two qubits an exact formula was found. We investigate the
concurrence of four-qubit quantum states and derive analytical lower bound of
concurrence using the multiqubit monogamy inequality. It is shown that this
lower bound is able to improve the existing bounds. This approach can be
generalized to arbitrary qubit systems. We present an exact formula of
concurrence for some mixed quantum states. For even-qubit states, we derive an
improved lower bound of concurrence using a monogamy equality for qubit
systems. At the same time, we show that a multipartite state is
$k$-nonseparable if the multipartite concurrence is larger than a constant
related to the value of $k$, the qudit number and the dimension of the
subsystems. Our results can be applied to detect the multipartite
$k$-nonseparable states.


title: Monostable Super Antiwettability

abstract:
  Super-antiwettability is an extreme situation of wetting where liquids stay
at the tops of rough surfaces, in the so-called Cassie state1. Owing to the
dramatic reduction of solid/liquid contact, it has many applications, such as
antifouling2,3, droplet manipulation4,5, and self-cleaning6-9. However,
super-antiwettability is often destroyed by impalement transitions caused by
environmental disturbances10-16 while inverse transitions without energy input
have never been observed12,17-21. Here we show through controlled experiments
that there is a "monostable" region in the phase space of the receding contact
angle and roughness parameters where transitions between (impaled) Wenzel and
Cassie states can be reversible. We describe the transition mechanism and
establish a simple criterion that predicts the experimentally observed
Wenzel-to-Cassie transitions for different liquids placed on
micropost-patterned substrates. These results can guide for designing and
engineering robust super-antiwetting surfaces.


title: A Convex Primal Formulation for Convex Hull Pricing

abstract:
  In certain electricity markets, because of non-convexities that arise from
their operating characteristics, generators that follow the independent system
operator's (ISO's) decisions may fail to recover their cost through sales of
energy at locational marginal prices. Discriminatory side payments are made by
the ISO to incentivize the compliance of generators. Convex hull pricing is a
uniform pricing scheme that minimizes these side payments. The Lagrangian dual
problem of the unit commitment problem has been used to determine convex hull
prices. However, this approach is computationally expensive. In this paper, we
propose a polynomially-solvable primal formulation for the Lagrangian dual
problem. This formulation explicitly describes for each generating unit the
convex hull of its feasible set and the convex envelope of its cost function.
We cast our formulation as a second-order cone program when the cost functions
are quadratic, and a linear program when the cost functions are piecewise
linear. A 96-period 76-unit transmission-constrained example is solved in less
than fifteen seconds on a personal computer.


title:
Chemical Complementarity between the Gas Phase of the Interstellar
  Medium and the Rocky Material of Our Planetary System

abstract:
  We compare the elemental depletions in the gas phase of the interstellar
medium (ISM) with the elemental depletions in the rocky material of our Solar
System. Our analysis finds a high degree of chemical complementarity: elements
depleted in the gas phase of the ISM are enriched in the rocky material of our
Solar System, and vice versa. This chemical complementarity reveals the generic
connections between interstellar dust and rocky planetary material. We use an
inheritance model to explain the formation of primordial grains in the solar
nebula. The primary dust grains inherited from the ISM, in combination with the
secondary ones condensed from the solar nebula, constitute the primordial rocky
material of our planetary system, from which terrestrial planets are formed
through the effects of the progressive accretion and sublimation. The
semi-major-axis-dependence of the chemical composition of rocky planetary
material is also observed by comparing elemental depletions in the Earth, CI
chondrites and other types of carbonaceous chondrites.


title:
Hidden-Fermion Representation of Self-energy in Pseudogap and
  Superconducting States of Two-Dimensional Hubbard Model

abstract:
  We study the frequency-dependent structure of electronic self-energy in the
pseudogap and superconducting states of the two-dimensional Hubbard model. We
present the self-energy calculated with the cellular dynamical mean-field
theory systematically in the space of temperature, electron density, and
interaction strength. We show that the low-frequency part of the self-energy is
well represented by a simple equation, which describes the transitions of an
electron to and from a hidden fermionic state. By fitting the numerical data
with this simple equation, we determine the parameters characterizing the
hidden fermion and discuss its identity. The simple expression of the
self-energy offers a way to organize numerical data of this uncomprehended
superconducting and pseudogap states, as well as a useful tool to analyze
spectroscopic experimental results. The successful description by the simple
two-component fermion model supports the idea of "dark" and "bright" fermions
emerging from a bare electron as bistable excitations in doped Mott insulators.


title:
Interfacial instability of a planar interface and diffuseness at the
  solid-liquid interface for pure and binary materials

abstract:
  Topographical and diffuse interface reconfigurations occur with a change in
the solidification rate. In this article we pursue the hypothesis that the
interface configuration during solidification is determined by the rate of
entropy production in the region between a rigorous solid and rigorous liquid
phase. We posit that when an interface begins to migrate, there are several
stable configurations that are possible. These include atomistically-planar,
diffuse-planar, facet non-planar and cellular non-planar. The configuration and
topographical condition that affords the maximum entropy production rate (MEPR)
yields the most stable interface configuration. The principle of MEPR is
applied to (1) describe atomistically smooth and diffuse interfaces, (2)
provide quantitative results for the diffuse interface thickness and the number
of pseudo-atomic layers in the interface region, and (3) predict the transition
from planar to a non-planar facet or non-facet cellular morphology as a
function of solidification velocity or temperature gradient. Numerous
experimental investigations spanning over sixty years have failed to
comprehensively validate any of the existing solid-liquid interface (SLI)
growth instability models. With the MEPR model, for the first time, breakdown
conditions are predicted with a fair degree of accuracy for a number of binary
alloys where no previous theoretical model had predictability. The model
considers steady state solidification at close-to and far-from equilibrium
conditions.


title: Quadratic gravity: from weak to strong

abstract:
  More than three decades ago quadratic gravity was found to present a
perturbative, renormalizable and asymptotically free theory of quantum gravity.
Unfortunately the theory appeared to have problems with a spin-2 ghost. In this
essay we revisit quadratic gravity in a different light by considering the case
that the asymptotically free interaction flows to a strongly interacting
regime. This occurs when the coefficient of the Einstein-Hilbert term is
smaller than the scale $\Lambda_{\mathrm{QG}}$ where the quadratic couplings
grow strong. Here QCD provides some useful insights. By pushing the analogy
with QCD, we conjecture that the nonperturbative effects can remove the naive
spin-2 ghost and lead to the emergence of general relativity in the IR.


title:
Global Strong Solution for 3D Viscous Incompressible Heat Conducting
  Navier-Stokes Flows with Non-negative Density

abstract:
  We are concerned with an initial boundary value problem for the
nonhomogeneous heat conducting Navier-Stokes flows with non-negative density.
First of all, we show that for the initial density allowing vacuum, the strong
solution exists globally if the velocity satisfies the Serrin's condition.
Then, under some smallness condition, we prove that there is a unique global
strong solution to the 3D viscous nonhomogeneous heat conducting Navier-Stokes
flows. Our method relies upon the delicate energy estimates and regularity
properties of Stokes system and elliptic equation.


title:
Tracking the distribution of $^{26}$Al and $^{60}$Fe during the early
  phases of star and disk evolution

abstract:
  The short-lived $^{26}$Al and $^{60}$Fe radionuclides are synthesized and
expelled in the interstellar medium by core-collapse supernova events. The
solar system's first solids, calcium-aluminium refractory inclusions (CAIs),
contain evidence for the former presence of the $^{26}$ Al nuclide defining the
canonical $^{26}$Al/$^{27}$ Al ratio of $\sim5 \times10^{-5}$. A different
class of objects temporally related to canonical CAIs are CAIs with
fractionation and unidentified nuclear effects (FUN CAIs), which record a low
initial $^{26}$Al/$^{27}$Al of $10^{-6}$. The contrasting level of $^{26}$Al
between these objects is often interpreted as reflecting the admixing of the
$^{26}$Al nuclide during the early formative phase of the Sun. We use giant
molecular cloud (GMC) scale adaptive mesh-refinement numerical simulations to
trace the abundance of $^{26}$Al and $^{60}$Fe in star-forming gas during the
early stages of accretion of individual low mass protostars. We find that the
$^{26}$Al/$^{27}$Al and $^{60}$Fe/$^{56}$Fe ratios of accreting gas within a
vicinity of 1000 AU of the stars follow the predicted decay curves of the
initial abundances at time of star formation without evidence of spatial or
temporal heterogeneities for the first 100 kyr of star formation. Therefore,
the observed differences in $^{26}$Al/$^{27}$Al ratios between FUN and
canonical CAIs are likely not caused by admixing of supernova material during
the early evolution of the proto-Sun. Selective thermal processing of dust
grains is a more viable scenario to account for the heterogeneity in
$^{26}$Al/$^{27}$Al ratios at the time of solar system formation.


title: $V$-rings versus $\Sigma$-$V$ Rings

abstract:
  This paper studies similarities and differences between the classes of rings
over which each simple module is injective and rings over which each simple
module is $\Sigma$-injective. The rings in the former class are called
$V$-rings and the rings in the latter class are called $\Sigma$-$V$ rings. We
have obtained analogues of various well-known results about $V$-rings for
$\Sigma$-$V$ rings. Motivated by a conjecture of Kaplansky, Fisher asked if a
prime right $V$-ring is right primitive. Although a counter-example to
Kaplansky's conjecture was constructed long ago but Fisher's question is still
open. In this paper we show that for a right $\Sigma$-$V$ ring, the notions of
prime and primitive are equivalent. Also, we show that an exchange $\Sigma$-$V$
ring is left-right symmetric and moreover, it is von Neumann regular.


title:
Core and Conal Component Analysis of Pulsar B1933+16 --- Investigation
  of the Segregated Modes

abstract:
  Radio pulsar B1933+16 is brightest core-radiation dominated pulsar in the
Arecibo sky, and here we carry out a comprehensive high resolution polarimetric
study of its radiation at both 1.5 and 4.6 GHz. At 1.5 GHz, the polarization is
largely compatible with a rotating-vector model with $\alpha$ and $\beta$
values of 125 and --1.2$^{\circ}$, such that the core and conal regions can be
identified with the primary and secondary polarization modes and plausibly with
the extraordinary and ordinary propagation modes. Polarization modal
segregation of profiles shows that the core is comprised of two parts which we
associate with later X-mode and earlier O-mode emission. Analysis of the broad
microstructures under the core shows that they have similar timescales to those
of the largely conal radiation of other pulsars studied earlier.
Aberration/retardation analysis was here possible for both the conal and core
radiation and showed average physical emission heights of about 200 km for
each. Comparison with other core-cone pulsars suggests that the core and conal
emission arises from similar heights. Assuming the inner vacuum gap model, we
note that at these emission altitudes the frequency of the observed radiation
$\nu_{obs}$ is less than the plasma frequency $\nu_p$. We then conclude that
the radio emission properties are consistent with the theory of coherent
curvature radiation by charged solitons where the condition $\nu_{obs} <
\nu_{p}$ is satisfied. However, the differences that exist between core and
conal emission in their geometric locations within a pulse, polarization and
modulation properties are yet to be understood.


title: Locally Weighted Ensemble Clustering

abstract:
  Due to its ability to combine multiple base clusterings into a probably
better and more robust clustering, the ensemble clustering technique has been
attracting increasing attention in recent years. Despite the significant
success, one limitation to most of the existing ensemble clustering methods is
that they generally treat all base clusterings equally regardless of their
reliability, which makes them vulnerable to low-quality base clusterings.
Although some efforts have been made to (globally) evaluate and weight the base
clusterings, yet these methods tend to view each base clustering as an
individual and neglect the local diversity of clusters inside the same base
clustering. It remains an open problem how to evaluate the reliability of
clusters and exploit the local diversity in the ensemble to enhance the
consensus performance, especially in the case when there is no access to data
features or specific assumptions on data distribution. To address this, in this
paper, we propose a novel ensemble clustering approach based on ensemble-driven
cluster uncertainty estimation and local weighting strategy. In particular, the
uncertainty of each cluster is estimated by considering the cluster labels in
the entire ensemble via an entropic criterion. A novel ensemble-driven cluster
validity measure is introduced, and a locally weighted co-association matrix is
presented to serve as a summary for the ensemble of diverse clusters. With the
local diversity in ensembles exploited, two novel consensus functions are
further proposed. Extensive experiments on a variety of real-world datasets
demonstrate the superiority of the proposed approach over the state-of-the-art.


title:
Pressure-Driven Quantum Criticality and T/H Scaling in the Icosahedral
  Au-Al-Yb Approximant

abstract:
  We report on ac magnetic susceptibility measurements under pressure of the
Au-Al-Yb alloy, a crystalline approximant to the icosahedral quasicrystal that
shows unconventional quantum criticality. In describing the susceptibility as
$\chi(T)^{-1} - \chi(0)^{-1} \propto T^{\gamma}$, we find that $\chi(0)^{-1}$
decreases with increasing pressure and vanishes to zero at the critical
pressure $P_{\rm c} \simeq 2$ GPa, with $\gamma~ (\simeq 0.5)$ unchanged. We
suggest that this quantum criticality emerges owing to critical valence
fluctuations. Above $P_{\rm c}$, the approximant undergoes a magnetic
transition at $T \simeq 100$ mK. These results are contrasted with the fact
that, in the quasicrystal, the quantum criticality is robust against the
application of pressure. The applicability of the so-called $T/H$ scaling to
the approximant is also discussed.


title: Success criteria for quantum search on graphs

abstract:
  We consider quantum search on graphs. Recently, it has been shown that the
graph properties like connectivity, global symmetry, or regularity cannot serve
as a reliable criteria that must be satisfied by a graph to allow a successful
quantum search. It is an open question whether it is possible to find such a
criteria. We solve this question by giving an affirmative answer.


title:
Global Existence and Global Attractors of Cross Diffusion Systems on
  Planar Domains

abstract:
  Global existence of strong solutions and the existence of global and
atrractors are established for generalized Shigesada-Kawasaki-Teramoto models
on planar domains. The cross diffusion and reaction can have polynomial growth
of any order.


title:
Dispersion coefficients for the interaction of inert gas atoms with
  alkali and alkaline earth ions and alkali atoms with their singly ionized
  ions

abstract:
  We report the dispersion coefficients for the interacting inert gas atoms
with the alkali ions, alkaline earth ions and alkali atoms with their singly
charged ions. We use our relativistic coupled-cluster method to determine
dynamic dipole and quadrupole polarizabilities of the alkali atoms and singly
ionized alkaline earth atoms, whereas a relativistic random phase approximation
approach has been adopted to evaluate these quantities for the closed-shell
configured inert gas atoms and the singly and doubly ionized alkali and
alkaline earth atoms, respectively. Accuracies of these results are adjudged
from the comparison of their static polarizability values with their respective
experimental results. These polarizabilities are further compared with the
other theoretical results. Reason for the improvement in the accuracies of our
estimated dispersion coefficients than the data listed in [At. Data and Nucl.
Data Tables 101, 58 (2015)] are discussed. Results for some of the atom-ion
interacting systems were not available earlier, these results and the other
reported improved results will be very useful for the comprehensive
understanding of the collisional physics involving these atom-atom and atom-ion
interactions in the cold atom and atom-ion hybrid trapping experiments at the
low-temperature regime.


title: Robust, directed assembly of fluorescent nanodiamonds

abstract:
  Arrays of fluorescent nanoparticles are highly sought after for applications
in sensing and nanophotonics. Here we present a simple and robust method of
assembling fluorescent nanodiamonds into macroscopic arrays. Remarkably, the
yield of this directed assembly process is greater than 90% and the assembled
patterns withstand ultra-sonication for more than three hours. The assembly
process is based on covalent bonding of carboxyl to amine functional carbon
seeds and is applicable to any material, and to non-planar surfaces. Our
results pave the way to directed assembly of sensing and nanophotonics devices.


title:
The Non-Perturbative Quantum Nature of the Dislocation-Phonon
  Interaction

abstract:
  Despite the long history of dislocation-phonon interaction studies, there are
many problems that have not been fully resolved during this development. These
include an incompatibility between a perturbative approach and the long-range
nature of a dislocation, the relation between static and dynamic scattering,
and the nature of dislocation-phonon resonance. Here by introducing a fully
quantized dislocation field, the "dislon"[1], a phonon is renormalized as a
quasi-phonon, with shifted quasi-phonon energy, and accompanied by a finite
quasi-phonon lifetime that is reducible to classical results. A series of
outstanding legacy issues including those above can be directly explained
within this unified phonon renormalization approach. In particular, a
renormalized phonon naturally resolves the decades-long debate between dynamic
and static dislocation-phonon scattering approaches.


title: Geometry of webs of algebraic curves

abstract:
  A family of algebraic curves covering a projective variety $X$ is called a
web of curves on $X$ if it has only finitely many members through a general
point of $X$. A web of curves on $X$ induces a web-structure, in the sense of
local differential geometry, in a neighborhood of a general point of $X$. We
study how the local differential geometry of the web-structure affects the
global algebraic geometry of $X$. Under two geometric assumptions on the
web-structure, the pairwise non-integrability condition and the
bracket-generating condition, we prove that the local differential geometry
determines the global algebraic geometry of $X$, up to generically finite
algebraic correspondences. The two geometric assumptions are satisfied, for
example, when $X \subset {\bf P}^N$ is a Fano submanifold of Picard number 1,
and the family of lines covering $X$ becomes a web. In this special case, we
have a stronger result that the local differential geometry of the
web-structure determines $X$ up to biregular equivalences. As an application,
we show that if $X, X' \subset {\bf P}^N, \dim X' \geq 3,$ are two such Fano
manifolds of Picard number 1, then any surjective morphism $f: X \to X'$ is an
isomorphism.


title: Image stitching with perspective-preserving warping

abstract:
  Image stitching algorithms often adopt the global transformation, such as
homography, and work well for planar scenes or parallax free camera motions.
However, these conditions are easily violated in practice. With casual camera
motions, variable taken views, large depth change, or complex structures, it is
a challenging task for stitching these images. The global transformation model
often provides dreadful stitching results, such as misalignments or projective
distortions, especially perspective distortion. To this end, we suggest a
perspective-preserving warping for image stitching, which spatially combines
local projective transformations and similarity transformation. By weighted
combination scheme, our approach gradually extrapolates the local projective
transformations of the overlapping regions into the non-overlapping regions,
and thus the final warping can smoothly change from projective to similarity.
The proposed method can provide satisfactory alignment accuracy as well as
reduce the projective distortions and maintain the multi-perspective view.
Experiments on a variety of challenging images confirm the efficiency of the
approach.


title: Productions of J/psi mesons in p-Pb collisions at 5 TeV

abstract:
  The rapidity distributions of $J/\psi$ mesons produced in proton-lead
($p$-Pb) collisions at center-of-mass energy per nucleon pair $\sqrt{s_{NN}}=5$
TeV are studied by using a multisource thermal model and compared with the
experimental data of the LHCb and ALICE Collaborations. Correspondingly, the
pseudorapidity distributions are accurately obtained from the parameters
extracted from the rapidity distributions. At the same time, the transverse
momentum distributions in the same experiments are described by the simplest
Erlang distribution which is the folding result of two exponential
distributions which are contributed by the target and projectile partons
respectively.


title:
Optimizing the lattice design for a diffraction-limited storage ring
  with a rational combination of particle swarm and genetic algorithms

abstract:
  In the design of a diffraction-limited storage ring (DLSR) consisting of
compact multi-bend achromats (MBAs), it is challenging to simultaneously
achieve an ultralow emittance and a satisfactory nonlinear performance, due to
extremely large nonlinearities and limited tuning ranges of the element
parameters. Nevertheless, taking the High Energy Photon Source (HEPS) as an
example, we demonstrate that the potential of a DLSR design can be explored
with a successive and iterative implementation of the particle swarm
optimization (PSO) and multi-objective genetic algorithm (MOGA). It turns out
that with a hybrid MBA lattice, it is feasible for the HEPS to attain a natural
emittance of about 50 pm.rad, and meanwhile, realize a sufficient ring
acceptance for beam accumulation with an on-axis longitudinal injection scheme.
Particularly, this study indicates that a rational combination of the PSO and
MOGA is more effective than either of them alone in approaching the true global
optima, for an explorative multi-objective problem with many optimizing
variables and local optima.


title: Top Pair Production with a jet with NLO QCD off-shell effects

abstract:
  A brief summary of the recent next-to-leading order QCD calculation for e+ ve
mu- v_mu bb~ j at the LHC is given. Our computation includes all non-resonant
contributions, off-shell effects and interferences for top-quarks and W gauge
bosons. Some results for integrated and differential cross sections are shown
for the LHC Run1 energy of 8 TeV. A significant reduction of the scale
dependence is observed, which indicates that the perturbative expansion is well
under control. The results are obtained in the framework of the HELAC-NLO
system.


title:
Comments on "A Square-Root-Free Matrix Decomposition Method for
  Energy-Efficient Least Square Computation on Embedded Systems"

abstract:
  A square-root-free matrix QR decomposition (QRD) scheme was rederived in [1]
based on [2] to simplify computations when solving least-squares (LS) problems
on embedded systems. The scheme of [1] aims at eliminating both the square-root
and division operations in the QRD normalization and backward substitution
steps in the LS computations. It is claimed in [1] that the LS solution only
requires finding the directions of the orthogonal basis of the matrix in
question, regardless of the normalization of their Euclidean norms. MIMO
detection problems have been named as potential applications that benefit from
this. While this is true for unconstrained LS problems, we conversely show here
that constrained LS problems such as MIMO detection still require computing the
norms of the orthogonal basis to produce the correct result.


title: Multi-Prime RSA Over Galois Approach

abstract:
  Many variants of RSA cryptosystem exist in the literature. One of them is RSA
over polynomials based on Galois approach. In standard RSA modulus is product
of two large primes whereas in the Galois approach author considered the
modulus as a product of two irriduciable polynomials. We use this idea and
extend Multi-prime RSA over polynomials.


title: The Hourglass Effect in Hierarchical Dependency Networks

abstract:
  Many hierarchically modular systems are structured in a way that resembles an
hourglass. This "hourglass effect" means that the system generates many outputs
from many inputs through a relatively small number of intermediate modules that
are critical for the operation of the entire system, referred to as the waist
of the hourglass. We investigate the hourglass effect in general, not
necessarily layered, hierarchical dependency networks. Our analysis focuses on
the number of source-to-target dependency paths that traverse each vertex, and
it identifies the core of a dependency network as the smallest set of vertices
that collectively cover almost all dependency paths. We then examine if a given
network exhibits the hourglass property or not, comparing its core size with a
"flat" (i.e., non-hierarchical) network that preserves the source dependencies
of each target in the original network. As a possible explanation for the
hourglass effect, we propose the Reuse Preference (RP) model that captures the
bias of new modules to reuse intermediate modules of similar complexity instead
of connecting directly to sources or low complexity modules. We have applied
the proposed framework in a diverse set of dependency networks from
technological, natural and information systems, showing that all these networks
exhibit the general hourglass property but to a varying degree and with
different waist characteristics.


title:
Speeding up Future Video Distribution via Channel-Aware Caching-Aided
  Coded Multicast

abstract:
  Future Internet usage will be dominated by the consumption of a rich variety
of online multimedia services accessed from an exponentially growing number of
multimedia capable mobile devices. As such, future Internet designs will be
challenged to provide solutions that can deliver bandwidth-intensive,
delay-sensitive, on-demand video-based services over increasingly crowded,
bandwidth-limited wireless access networks. One of the main reasons for the
bandwidth stress facing wireless network operators is the difficulty to exploit
the multicast nature of the wireless medium when wireless users or access
points rarely experience the same channel conditions or access the same content
at the same time. In this paper, we present and analyze a novel wireless video
delivery paradigm based on the combined use of channel-aware caching and coded
multicasting that allows simultaneously serving multiple cache-enabled
receivers that may be requesting different content and experiencing different
channel conditions. To this end, we reformulate the caching-aided coded
multicast problem as a joint source-channel coding problem and design an
achievable scheme that preserves the cache-enabled multiplicative throughput
gains of the error-free scenario,by guaranteeing per-receiver rates unaffected
by the presence of receivers with worse channel conditions.


title:
Magnetism of a rhombohedral-type pyrochlore-derived Kagome series,
  Mn2R3Sb3O14 (R= Rare-earths)

abstract:
  The results of magnetic investigations on a new series of compounds,
Mn2R3Sb3O14, containing 2-dimensional Kagome lattice of R ions and belonging to
pyrochlore series, are presented. Crystallographic features of light R members
(R= La, Pr and Nd) of this family, as established in the recent literature,
have been reported to be novel in many respects, in particular, the rhomohedral
nature of the structure which is rare among pyrochlores. It was also reported
that, as the R becomes heavier, beyond R= Sm, the fraction of well-known cubic
pyrochlore phase tends to gradually dominate. Here, we report that we are able
to form the Gd member in the rhombohedral form without noticeable admixture
from the cubic phase. With respect to magnetic behavior, our magnetization
measurements on the La member reveal that Mn exists in divalent state without
any evidence for long range magnetic ordering down to 2 K (that is, suppressed
magnetism), which is not so common for Mn based oxides, though
antiferromagnerism below 2 K is not ruled out. Nd and Gd members, are however,
found to show distinct features above 2 K in magnetic susceptibility and
heat-capacity, attributable to long-range magnetic ordering from respective
rare-earth sublattice. The experimental results with respect to magnetism are
found to be consistent with the results from ab initio band structure
calculations performed for the La case. The calculations imply that electron
correlation is important to describe insulating behavior.


title:
Are intermediate range periodicities in sunspot area associated with
  planetary motion?

abstract:
  In this paper we examine the possibility that intermediate range
periodicities in sunspot area can be linked to Mercury or to Mercury-planet
conjunction periods. We show that peaks at the 45 day Mercury-Jupiter
conjunction period, the 116 day first harmonic period of the Mercury-Earth
conjunction and the 289 day period of the sub harmonic
Mercury-Venus/Mercury-Earth conjunctions are prominent in spectra of sunspot
area. We observe two prominent peaks close to the 88 day Mercury periodicity
and two prominent peaks close to the 176 day first sub harmonic of Mercury
periodicity. To confirm that the peaks arise as sidebands we band pass filter
the sunspot area record to isolate the 88 and 176 day components of sunspot
area. The components occur in episodes of duration from 1.5 to 4 years, with
successive episodes usually overlapping in time but, for significant intervals
in the record, the episodes were discrete, i.e. not overlapping. The time
variation of the components was compared with the time variation of the tidal
effect of Mercury. We were able to show that whenever episodes were discrete
the component of sunspot area during the episode was either in-phase or in
anti-phase with the Mercury tidal effect. We interpret this as indicating a
connection between planetary motion and sunspot emergence. When several
discrete episodes of the components occurred during a solar cycle the spectrum
of sunspot area during that solar cycle exhibited periodicities at sidebands to
the 88 day or 176 day periods, the periodicity of the sidebands depending on
the duration of the episodes. A simple model based on amplitude modulation of
88 day and 176 day period sinusoids was able to consistently reproduce the
spectral peaks, or Rieger quasi-periodicities, observed in the spectra of
sunspot area.


title:
Dielectric Enhancement from Non-Insulating Particles with Ideally
  Polarized Interfaces and Zero $\zeta$-Potential I: Exact Solution

abstract:
  We solve exactly the dielectric response of a non-insulating sphere of radius
$a$ suspended in symmetric, univalent electrolyte solution, with
ideally-polarizable interface but without significant $\zeta$-potential. We
then use this solution to derive the dielectric response of a dilute random
suspension of such spheres, with volume fraction $f\ll1$, within the
Maxwell-Garnett Effective Medium Approximation. Surprisingly, we discover a
huge dielectric enhancement in this bare essential model of dielectric
responses of solids in electrolyte solution: at low frequency $\omega\tau_D \ll
(\lambda/a) / (\sigma_w / \sigma_s+1/2)$, the real part of the effective
dielectric constant of the mixture is $1-(3f/2)+(9f/4)(a/\lambda)$. Here
$\sigma_{w/s}$ is the conductivity of the electrolyte solution/solids,
$\lambda$ is the Debye screening length in the solution, $\tau_D=\lambda^2/D$
is the standard time scale of diffusion and $D$ is the ion diffusion
coefficient. As $\lambda$ is of the order nm even for dilute electrolyte
solution, even for sub-mm spheres and low volume fraction $f=0.05$ the huge
geometric factor $a/\lambda$ implies an over $10^4$-fold enhancement.
Furthermore, we show that this enhancement produces a significant low frequency
($\omega\tau_D\ll1$) phase shift $\tan\theta = \mathrm{Re}~ \epsilon(\omega) /
\mathrm{Im} ~\epsilon(\omega)$ in a simple impedance measurement of the
mixture, which is usually negligible in pure electrolyte solution. The phase
shift has a scale-invariant maximum
$\tan\theta_{\mathrm{max}}=(9/4)f/(2\sigma_w/\sigma_s+1)$ at
$\omega_{\mathrm{max}}=(2D/\lambda a)/(2\sigma_w/\sigma_s+1)$. We provide a
physical picture of the enhancement from an accumulation of charges in a thin
Externally Induced Double Layer (EIDL) due to the blocking boundary conditions
on interfaces.


title:
A new test for stick-slip limit cycles in dry-friction oscillators with
  small nonlinear friction characteristics

abstract:
  We consider a dry friction oscillator on a moving belt with both the Coulomb
friction and a small nonlinear addition which can model e.g. the Stribeck
effect. By using the perturbation theory, we establish a new sufficient
condition for the nonlinearity to ensure the occurrence of a stick-slip limit
cycle. The test obtained is more accurate compared to what one gets by building
upon the divergence test.


title:
Inverse spectral theory and the Minkowski problem for the surface of
  revolution

abstract:
  We solve the inverse spectral problem for rotationally symmetric manifolds,
which include the class of surfaces of revolution, by giving an analytic
isomorphism from the space of spectral data onto the space of functions
describing the radius of rotation. An analogue of the Minkowski problem is also
solved.


title: Second order kinetic Kohn-Sham lattice model

abstract:
  In this work we introduce a new semi-implicit second order correction scheme
to the kinetic Kohn-Sham lattice model. The new approach is validated by
performing realistic exchange-correlation energy calculations of atoms and
dimers of the first two rows of the periodic table finding good agreement with
the expected values. Additionally we simulate the ethane molecule where we
recover the bond lengths and compare the results with standard methods.
Finally, we discuss the current applicability of pseudopotentials within the
lattice kinetic Kohn-Sham approach.


title: Shell-structure of one-particle resonances in deformed potentials

abstract:
  Shell structure of low-lying neutron resonant levels in axially-symmetric
quadrupole-deformed potentials is discussed, which seems analogous to that of
weakly-bound neutrons. As numerical examples, nuclei slightly outside the
neutron-drip-line, $^{39}_{12}$Mg$_{27}$ and $^{21}_{6}$C$_{15}$, are studied.
For the lowest resonance I obtain $I^{\pi}$ = $\Omega^{\pi}$ = 5/2$^{-}$ for
$^{39}$Mg which is likely to be prolately deformed, while $I^{\pi}$ =
$\Omega^{\pi}$ = 1/2$^{+}$ may be assigned to the nucleus $^{21}$C which may be
oblately deformed. Consequently, $^{21}$C will not be observed as a
recognizable resonant state, in agreement with the experimental information.


title: LIME: A Method for Low-light IMage Enhancement

abstract:
  When one captures images in low-light conditions, the images often suffer
from low visibility. This poor quality may significantly degrade the
performance of many computer vision and multimedia algorithms that are
primarily designed for high-quality inputs. In this paper, we propose a very
simple and effective method, named as LIME, to enhance low-light images. More
concretely, the illumination of each pixel is first estimated individually by
finding the maximum value in R, G and B channels. Further, we refine the
initial illumination map by imposing a structure prior on it, as the final
illumination map. Having the well-constructed illumination map, the enhancement
can be achieved accordingly. Experiments on a number of challenging real-world
low-light images are present to reveal the efficacy of our LIME and show its
superiority over several state-of-the-arts.


title:
Spin-induced anomalous magnetoresistance at the (100) surface of
  hydrogen-terminated diamond

abstract:
  We report magnetoresistance measurements of hydrogen-terminated
(100)-oriented diamond surfaces where hole carriers are accumulated using an
ionic-liquid-gated field-effect-transistor technique. Unexpectedly, the
observed magnetoresistance is positive within the range of 2<T<10 K and -7<B<7
T, in striking contrast to the negative magnetoresistance previously detected
for similar devices with (111)-oriented diamond surfaces. Furthermore we find:
1) magnetoresistance is orders of magnitude larger than that of the classical
orbital magnetoresistance; 2) magnetoresistance is nearly independent of the
direction of the applied magnetic field; 3) for the in-plane field, the
magnetoresistance ratio defined as [rho(B)-rho(0)]/rho(0) follows a universal
function of B/T. These results indicate that the spin degree of freedom of hole
carriers plays an important role in the surface conductivity of
hydrogen-terminated (100) diamond.


title:
Symmetry, topology and the maximum number of mutually pairwise touching
  infinite cylinders: complete configuration classification

abstract:
  We provide a complete classification of possible configurations of mutually
pairwise touching infinite cylinders in Euclidian 3D space. It turns out that
there is a maximum number of such cylinders possible in 3D independently on the
shape of the cylinder cross-sections. We give the explanation of the uniqueness
of the non-trivial configuration of seven equal mutually touching round
infinite cylinders found earlier. Some results obtained for the chirality
matrix which is equivalent to the Seidel adjacency matrix may be found useful
for the theory of graphs.


title:
Cloud-Based Topological Interference Management: A Case with No
  Cooperative Transmission Gain

abstract:
  We study the problem of managing interference in linear networks, with
backhaul constraints that admit centralized allocation of messages to
transmitters through the cloud. Our setting is that of a generic channel, where
no channel state information is available at the transmitters. Knowing only the
network topology, we characterize the optimal decisions for assigning messages
to transmitters, given that each receiver is interested in one message that can
be available at N transmitters. We show that using linear cooperation schemes,
the per user degrees of freedom does not increase as we increase N beyond
unity. Hence, we conclude for the considered problem that linear cooperative
transmission does not increase the degrees of freedom.


title:
On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical
  exponents

abstract:
  We consider the following nonlinear Choquard equation with Dirichlet boundary
condition $$-\Delta u
=\left(\int_{\Omega}\frac{|u|^{2_{\mu}^{\ast}}}{|x-y|^{\mu}}dy\right)|u|^{2_{\mu}^{\ast}-2}u+\lambda
f(u)\hspace{4.14mm}\mbox{in}\hspace{1.14mm} \Omega, $$ where $\Omega$ is a
smooth bounded domain of $\mathbb{R}^N$, $\lambda>0$, $N\geq3$, $0<\mu<N$ and
$2_{\mu}^{\ast}$ is the critical exponent in the sense of the
Hardy-Littlewood-Sobolev inequality. Under suitable assumptions on different
types of nonlinearities $f(u)$, we are able to prove some existence and
multiplicity results for the equation by variational methods.


title: Practical adaptive quantum tomography

abstract:
  We introduce a fast and accurate heuristic for adaptive tomography that
addresses many of the limitations of prior methods. Previous approaches were
either too computationally intensive or tailored to handle special cases such
as single qubits or pure states. By contrast, our approach combines the
efficiency of online optimization with generally applicable and well-motivated
data-processing techniques. We numerically demonstrate these advantages in
several scenarios including mixed states, higher-dimensional systems, and
restricted measurements.


title:
Relativistic calculations of quasi-one-electron atoms and ions using
  Laguerre and Slater spinors

abstract:
  A relativistic description of the structure of heavy alkali atoms and
alkali-like ions using S-spinors and L-spinors has been developed. The core
wavefunction is defined by a Dirac-Fock calculation using an S-spinors basis.
The S-spinor basis is then supplemented by a large set of L-spinors for the
calculation of the valence wavefunction in a frozen-core model. The numerical
stability of the L-spinor approach is demonstrated by computing the energies
and decay rates of several low-lying hydrogen eigenstates, along with the
polarizabilities of a $Z=60$ hydrogenic ion. The approach is then applied to
calculate the dynamic polarizabilities of the $5s$, $4d$ and $5p$ states of
Sr$^+$. The magic wavelengths at which the Stark shifts between different pairs
of transitions are zero are computed. Determination of the magic wavelengths
for the $5s \to 4d_{\frac32}$ and $5s \to 4d_{\frac52}$ transitions near
$417$~nm (near the wavelength for the $5s \to 5p_j$ transitions) would allow a
determination of the oscillator strength ratio for the $5s \to 5p_{\frac12}$
and $5s \to 5p_{\frac32}$ transitions.


title: Interplay between tensor force and deformation in even-even nuclei

abstract:
  In this work we study the effect of the nuclear tensor force on properties
related with deformation. We focus on isotopes in the Mg, Si, S, Ar, Sr and Zr
chains within the Hartree-Fock-Bogoliubov theory using the D1ST2a Gogny
interaction. Contributions to the tensor energy in terms of saturated and
unsaturated subshells are analyzed. Like-particle and proton-neutron parts of
the tensor term are independently examinated. We found that the tensor term may
considerably modify the potential energy landscapes and change the ground state
shape. We analyze too how the pairing characteristics of the ground state
change when the tensor force is included.


title:
Computational issues and numerical experiments for Linear Multistep
  Method Particle Filtering

abstract:
  The Linear Multistep Method Particle Filter (LMM PF) is a method for
predicting the evolution in time of a evolutionary system governed by a system
of differential equations. If some of the parameters of the governing equations
are unknowns, it is possible to organize the calculations so as to estimate
them while following the evolution of the system in time. The underlying
assumption in the approach that we present is that all unknowns are modelled as
random variables, where the randomness is an indication of the uncertainty of
their values rather than an intrinsic property of the quantities. Consequently,
the states of the system and the parameters are described in probabilistic
terms by their density, often in the form of representative samples. This
approach is particularly attractive in the context of parameter estimation
inverse problems, because the statistical formulation naturally provides a
means of assessing the uncertainty in the solution via the spread of the
distribution. The computational efficiency of the underlying sampling technique
is crucial for the success of the method, because the accuracy of the solution
depends on the ability to produce representative samples from the distribution
of the unknown parameters. In this paper LMM PF is tested on a skeletal muscle
metabolism problem, which was previously treated within the Ensemble Kalman
filtering framework. Here numerical evidences are used to highlight the
correlation between the main sources of errors and the influence of the linera
multistep method adopted. Finally, we analyzed the effect of replacing LMM with
Runge-Kutta class integration methods for supporting the PF technique.


title: Topological Control on Atomic Networks' Relaxation Under Stress

abstract:
  Upon loading, atomic networks can feature delayed viscoplastic relaxation.
However, the effect of composition and structure on such a relaxation remains
poorly understood. Herein, relying on accelerated molecular dynamics
simulations and topological constraint theory, we investigate the relationship
between atomic topology and stress-induced relaxation, by taking the example of
creep deformations in calcium--silicate--hydrates, the binding phase of
concrete. Under constant shear stress, C--S--H is found to feature delayed
logarithmic shear deformations. We demonstrate that the propensity for
relaxation is minimum for isostatic atomic networks, which are characterized by
the simultaneous absence of floppy internal modes of relaxation and eigen
stress. This suggests that topological nano-engineering could lead to the
discovery of non-aging materials.


title: The Photometric Properties of Galaxies in the Early Universe

abstract:
  We use the large cosmological hydro-dynamic simulation BlueTides to predict
the photometric properties of galaxies during the epoch of reionisation
($z=8-15$). These properties include the rest-frame UV to near-IR broadband
spectral energy distributions, the Lyman continuum photon production, the UV
star formation rate calibration, and intrinsic UV continuum slope. In
particular we focus on exploring the effect of various modelling assumptions,
including the assumed choice of stellar population synthesis model, initial
mass function, and the escape fraction of Lyman continuum photons, upon these
quantities. We find that these modelling assumptions can have a dramatic effect
on photometric properties leading to consequences for the accurate
determination of physical properties from observations. For example, at $z=8$
we predict that nebular emission can account for up-to $50\%$ of the rest-frame
$R$-band luminosity, while the choice of stellar population synthesis model can
change the Lyman continuum production rate up to a factor of $\times 2$.


title: Incremental Robot Learning of New Objects with Fixed Update Time

abstract:
  We consider object recognition in the context of lifelong learning, where a
robotic agent learns to discriminate between a growing number of object classes
as it accumulates experience about the environment. We propose an incremental
variant of the Regularized Least Squares for Classification (RLSC) algorithm,
and exploit its structure to seamlessly add new classes to the learned model.
The presented algorithm addresses the problem of having an unbalanced
proportion of training examples per class, which occurs when new objects are
presented to the system for the first time.
  We evaluate our algorithm on both a machine learning benchmark dataset and
two challenging object recognition tasks in a robotic setting. Empirical
evidence shows that our approach achieves comparable or higher classification
performance than its batch counterpart when classes are unbalanced, while being
significantly faster.


title: Geodesics in the (anti-)de Sitter spacetime

abstract:
  A class of exact solutions of the geodesic equations in (anti-)de Sitter
AdS$_4$ and dS$_4$ spacetimes is presented. The geodesics for test particles in
AdS$_4$ and dS$_4$ spacetimes are respectively sinusoidal and hyperbolic sine
world lines. The world line for light rays is straight lines as known. In
particular, the world lines of test particles are not dependent on their
energy. Spontaneous symmetry breaking of AdS$_4$ spacetime provides a physical
explanation for arising of the virtual particle and antiparticle pairs in
vacuum. Interestingly, the energy of a pair and the time its particles moving
along their geodesics can be related by a relation similar to Heisenberg
uncertainty one pertaining quantum vacuum fluctuations. The sinusoidal
geodesics of AdS$_4$ spacetime can describe the world lines of the virtual
particles and antiparticles. The hyperbolic sine geodesics of dS$_4$ spacetime
can explain why galaxies move apart with positive accelerations.


title:
The Interplay of Covalency, Hydrogen Bonding and Dispersion Leads to a
  Long Range Chiral Network: The Example of 2-Butanol

abstract:
  The assembly of complex structures is driven by an interplay between several
intermolecular interactions, from strong covalent bonds to weaker dispersion
forces. Surface-based self-assembly is particularly amenable to modeling and
measuring these interactions in well-defined systems. This study focuses on
2-butanol, the simplest aliphatic chiral alcohol. 2-butanol shows interesting
properties as a chiral modifier of surface chemistry, however, its mode of
action is not fully understood. In order to probe its surface properties we
employed high-resolution scanning tunneling microscopy and DFT simulations. We
found a surprisingly rich degree of enantiospecific adsorption, association,
chiral cluster growth and ultimately long range, highly ordered chiral
templating. Firstly, the chiral molecules acquire a second chiral center when
adsorbed to the surface via dative bonding of one of the oxygen atom lone
pairs. This interaction is controlled via the molecule's intrinsic chiral
center leading to monomers of like chirality, at both chiral centers, adsorbed
on the surface. The monomers then associate into tetramers via a cyclical
network of hydrogen bonds with an opposite chirality at the oxygen atom. The
evolution of these square units is surprising given that the underlying surface
has a hexagonal symmetry. Our DFT calculations reveal that the tetramers are
able to associate with each other by weaker van der Waals interactions and
tessellate in an extended square network. Our data reveals that the chirality
of a simple alcohol can be transferred to its surface binding geometry, drive
the directionality of hydrogen bonds and ultimately extended structure.
Furthermore, this study provides the first microscopic insight into the surface
properties of this important chiral modifier and provides a well-defined system
for studying the network's enantioselective interaction with other molecules.


title: Model dependence of the neutron-skin thickness on the symmetry energy

abstract:
  The model dependence in the correlations of the neutron-skin thickness in
heavy nuclei with various symmetry energy parameters is analyzed by using
several families of systematically varied microscopic mean field models. Such
correlations show a varying degree of model dependence once the results for all
the different families are combined. Some mean field models associated with
similar values of the symmetry energy slope parameter at saturation density
$L$, and pertaining to different families, yield a greater-than-expected spread
in the neutron-skin thickness of the $^{208}$Pb nucleus. The effective value of
the symmetry energy slope parameter $L_{\rm eff}$, determined by using the
nucleon density profiles of the finite nucleus and the density derivative
$S^\prime(\rho)$ of the symmetry energy starting from about saturation density
up to low densities typical of the surface of nuclei, seems to account for the
spread in the neutron-skin thickness for the models with similar $L$. The
differences in the values of $L_{\rm eff}$ are mainly due to the small
differences in the nucleon density distributions of heavy nuclei in the surface
region and the behavior of the symmetry energy at subsaturation densities.


title:
Relative dynamical degrees of correspondences over a field of arbitrary
  characteristic

abstract:
  Let $K$ be an algebraically closed field of arbitrary characteristic, $X$ an
irreducible variety and $Y$ an irreducible projective variety over $K$, both
are not necessarily smooth. Let $f:X\rightarrow X$ and $g:Y\rightarrow Y$ be
dominant correspondences, and $\pi :X\rightarrow Y$ a dominant rational map
such that $\pi \circ f=g\circ \pi$. We define relative dynamical degrees
$\lambda _p(f|\pi )$ ($p=0,\ldots ,\dim (X)-\dim (Y)$). These degrees measure
the relative growth of positive algebraic cycles, satisfy a product formula
when $Y$ is smooth and $g$ is a multiple of a rational map, and are birational
invariants. More generally, a weaker product formula is proven for more general
semi-conjugacies, and for any generically finite semi-conjugacy $(\varphi ,\psi
)$ from $(X_2,f_2)\rightarrow (Y_2,g_2)$ to $(X_1,f_1)\rightarrow (Y_1,g_1)$ we
have $\lambda _p(f_1|\pi _1)\geq \lambda _p(f_2|\pi _2)$ for all $p$. Many of
our results are new even when $K=\mathbb{C}$. We make use of de Jong's
alterations and Roberts' version of Chow's moving lemma. In the lack of
resolution of singularities, the consideration of correspondences is necessary
even when $f,g$ are rational maps. The case $K$ is not algebraically closed
further requires working with correspondences over reducible varieties.


title: Escape regimes of biased random walks on Galton-Watson trees

abstract:
  We study biased random walk on subcritical and supercritical Galton-Watson
trees conditioned to survive in the transient, sub-ballistic regime. By
considering offspring laws with infinite variance, we extend previously known
results for the walk on the supercritical tree and observe new trapping
phenomena for the walk on the subcritical tree which, in this case, always
yield sub-ballisticity. This is contrary to the walk on the supercritical tree
which always has some ballistic phase.


title: Rho-estimators revisited: General theory and applications

abstract:
  Following Baraud, Birg\'e and Sart (2017), we pursue our attempt to design a
robust universal estimator of the joint ditribution of $n$ independent (but not
necessarily i.i.d.) observations for an Hellinger-type loss. Given such
observations with an unknown joint distribution $\mathbf{P}$ and a dominated
model $\mathscr{Q}$ for $\mathbf{P}$, we build an estimator
$\widehat{\mathbf{P}}$ based on $\mathscr{Q}$ and measure its risk by an
Hellinger-type distance. When $\mathbf{P}$ does belong to the model, this risk
is bounded by some quantity which relies on the local complexity of the model
in a vicinity of $\mathbf{P}$. In most situations this bound corresponds to the
minimax risk over the model (up to a possible logarithmic factor). When
$\mathbf{P}$ does not belong to the model, its risk involves an additional bias
term proportional to the distance between $\mathbf{P}$ and $\mathscr{Q}$,
whatever the true distribution $\mathbf{P}$. From this point of view, this new
version of $\rho$-estimators improves upon the previous one described in
Baraud, Birg\'e and Sart (2017) which required that $\mathbf{P}$ be absolutely
continuous with respect to some known reference measure. Further additional
improvements have been brought as compared to the former construction. In
particular, it provides a very general treatment of the regression framework
with random design as well as a computationally tractable procedure for
aggregating estimators. We also give some conditions for the Maximum Likelihood
Estimator to be a $\rho$-estimator. Finally, we consider the situation where
the Statistician has at disposal many different models and we build a penalized
version of the $\rho$-estimator for model selection and adaptation purposes. In
the regression setting, this penalized estimator not only allows to estimate
the regression function but also the distribution of the errors.


title:
Doubly-resonant saddle-nodes in $(\mathbb{C}^{3},0)$ and the fixed
  singularity at infinity in the Painlev\'e equations (part II): sectorial
  normalization

abstract:
  In this work, following [Bit15], we consider analytic singular vector fields
in $(\mathbb{C}^{3},0)$ with an isolated and doubly-resonant singularity of
saddle-node type at the origin. Such vector fields come from irregular
two-dimensional differential systems with two opposite non-zero eigenvalues,
and appear for instance when studying the irregular singularity at infinity in
Painlev{\'e} equations (P\_j), j=I...V , for generic values of the parameters.
Under suitable assumptions, we prove a theorem of analytic nor-malization over
sectorial domains, analogous to the classical one due to Hukuhara-Kimura-Matuda
[HKM61] for saddle-nodes in $(\mathbb{C}^{2},0)$. We also prove that the
normalizing map is essentially unique and weakly Gevrey-1 summable.


title: On the equivalence principle as a breaking of the dilatation symmetry

abstract:
  The so called Telelateral Conformal Gravity (TCG) is a first order gauge
theory describing inertia as internal, scale invariant geometry. The Conformal
Affine Theory (CAT) unifies other interactions into TCG in a minimalistic
scheme via an exact holographic gauge-gravity duality. In the three parts of
this Letter, the currently topical bimetric gravity models are obtained as
non-inertial gauges in the CAT, the geometrisation of electromagnetism by
Hermann Weyl is brought to a completion, and it is sketched how the rest of the
Standard Model could result from the assumption of a light cone, respectively.
The radically intuitive CAT suggests the possibility of further transgressive
unification of sciences.


title:
HARRISON: A Benchmark on HAshtag Recommendation for Real-world Images in
  Social Networks

abstract:
  Simple, short, and compact hashtags cover a wide range of information on
social networks. Although many works in the field of natural language
processing (NLP) have demonstrated the importance of hashtag recommendation,
hashtag recommendation for images has barely been studied. In this paper, we
introduce the HARRISON dataset, a benchmark on hashtag recommendation for real
world images in social networks. The HARRISON dataset is a realistic dataset,
composed of 57,383 photos from Instagram and an average of 4.5 associated
hashtags for each photo. To evaluate our dataset, we design a baseline
framework consisting of visual feature extractor based on convolutional neural
network (CNN) and multi-label classifier based on neural network. Based on this
framework, two single feature-based models, object-based and scene-based model,
and an integrated model of them are evaluated on the HARRISON dataset. Our
dataset shows that hashtag recommendation task requires a wide and contextual
understanding of the situation conveyed in the image. As far as we know, this
work is the first vision-only attempt at hashtag recommendation for real world
images in social networks. We expect this benchmark to accelerate the
advancement of hashtag recommendation.


title: Density estimation for $\beta$-dependent sequences

abstract:
  We study the Lp-integrated risk of some classical estimators of the density,
when the observations are drawn from a strictly stationary sequence. The
results apply to a large class of sequences, which can be non-mixing in the
sense of Rosenblatt and long-range dependent. The main probabilistic tool is a
new Rosenthal-type inequality for partial sums of BV functions of the
variables. As an application, we give the rates of convergence of regular
Histograms, when estimating the invariant density of a class of expanding maps
of the unit interval with a neutral fixed point at zero. These Histograms are
plotted in the section devoted to the simulations.


title: Hereditary Equality of Domination and Exponential Domination

abstract:
  We characterize a large subclass of the class of those graphs $G$ for which
the exponential domination number of $H$ equals the domination number of $H$
for every induced subgraph $H$ of $G$.


title: The polymake XML file format

abstract:
  We describe an XML file format for storing data from computations in algebra
and geometry. We also present a formal specification based on a RELAX-NG
schema.


title:
Effects of spin fluctuation on the magnetic anisotropy constant of
  itinerant electron magnets

abstract:
  In the disordered local moment picture, we calculated the magnetization (M)
and magnetic anisotropy energy (MAE) of FePt, CoPt, and MnAl ordered alloys and
body-centered tegragonal FeCo (bct-FeCo) disordered alloy, assuming spatially
fluctuated spin configurations at finite temperatures. All alloys exhibit the
relation K1(T)/K1(0)=(M(T)/M(0))^n with the exponent (n) around 2. This is
consistent with the two-ion anisotropy model, in contrast to the usual
single-ion anisotropy model exhibiting n=3. Because these systems have
different mechanisms of MAE, we suggest that this relation is a general rule
for itinerant electron systems.


title:
What do we know about neutrinoless double-beta decay nuclear matrix
  elements?

abstract:
  The detection of neutrinoless double-beta decay will establish the Majorana
nature of neutrinos. In addition, if the nuclear matrix elements of this
process are reliably known, the experimental lifetime will provide precious
information about the absolute neutrino masses and hierarchy. I review the
status of nuclear structure calculations for neutrinoless double-beta decay
matrix elements, and discuss some key issues to be addressed in order to meet
the demand for accurate nuclear matrix elements.


title:
Numerical simulation of a contractivity based multiscale cancer invasion
  model

abstract:
  We present a problem-suited numerical method for a particularly challenging
cancer invasion model. This model is a multiscale haptotaxis
advection-reaction-diffusion system that describes the macroscopic dynamics of
two types of cancer cells coupled with microscopic dynamics of the cells
adhesion on the extracellular matrix. The difficulties to overcome arises from
the non-constant advection and diffusion coefficients, a time delay term, as
well as stiff reaction terms. Our numerical method is a second order finite
volume implicit-explicit scheme adjusted to include a) non-constant diffusion
coefficients in the implicit part, b) an interpolation technique for the time
delay, and c) a restriction on the time increment for the stiff reaction terms.


title: Pilot Pattern Adaptation for 5G MU-MIMO Wireless Communications

abstract:
  To meet the goal of ten-fold increase in spectral efficiency, multiuser
multiple-input-multiple-output (MU-MIMO) techniques capable of achieving high
spatial multiplexing gains are expected to be an essential component of
fifth-generation (5G) radio access systems. This increase in multiplexing gain,
made possible by equipping base stations with a large number of antennas,
entails a proportional increase in channel state information (CSI) acquisition
overhead. This article addresses the problem of reducing this CSI overhead by
optimizing the amount of time-frequency resources allocated for channel
training purposes while not affecting the quality of the associated channel
estimate. First we show that in MU-MIMO, adapting pilot symbol density in the
time-frequency grid should be performed both on a per resource block (RB) basis
and on the basis of groups of users sharing similar channel conditions. Next,
we propose a practical scheme that can perform grouping based per-RB pilot
pattern adaptation. Finally, we evaluate using both analytical and numerical
results the gain in spectral efficiency that can be achieved using this scheme
as compared to conventional MU-MIMO systems that use fixed pilot patterns.


title:
Weak orders on symmetric groups and posets of support $\tau$-tilting
  modules

abstract:
  We give a necessary and sufficient condition for that the support
$\tau$-tilting poset of a finite dimensional algebra is isomorphic to the poset
of symmetric group with weak order. Moreover we show that there are infinitely
many finite dimensional algebras whose support $\tau$-tilting posets are
isomorphic to the poset of symmetric group with weak order.


title:
Simultaneous Identification of Damping Coefficient and Initial Value in
  PDEs from boundary measurement

abstract:
  In this paper, the simultaneous identification of damping or anti-damping
coefficient and initial value for some PDEs is considered. An identification
algorithm is proposed based on the fact that the output of system happens to be
decomposed into a product of an exponential function and a periodic function.
The former contains information of the damping coefficient, while the latter
does not. The convergence and error analysis are also developed. Three
examples, namely an anti-stable wave equation with boundary anti-damping, the
Schr\"odinger equation with internal anti-damping, and two connected strings
with middle joint anti-damping, are investigated and demonstrated by numerical
simulations to show the effectiveness of the proposed algorithm.


title: Constraining the volatile fraction of planets from transit observations

abstract:
  The determination of the abundance of volatiles in extrasolar planets is very
important as it can provide constraints on transport in protoplanetary disks
and on the formation location of planets. However, constraining the internal
structure of low-mass planets from transit measurements is known to be a
degenerate problem. Using planetary structure and evolution models, we show how
observations of transiting planets can be used to constrain their internal
composition, in particular the amount of volatiles in the planetary interior,
and consequently the amount of gas (defined in this paper to be only H and He)
that the planet harbors. We show for low-mass gas-poor planets that are located
close to their central star that assuming evaporation has efficiently removed
the entire gas envelope, it is possible to constrain the volatile fraction of
close-in transiting planets. We illustrate this method on the example of 55 Cnc
e and show that under the assumption of the absence of gas, the measured mass
and radius imply at least 20 % of volatiles in the interior. For planets at
larger distances, we show that the observation of transiting planets at
different evolutionary ages can be used to set statistical constraints on the
volatile content of planets. These results can be used in the context of future
missions like PLATO to better understand the internal composition of planets.


title:
Eigenvarieties for non-cuspidal modular forms over certain PEL Shimura
  varieties

abstract:
  Generalising the recent method of Andreatta, Iovita, and Pilloni for cuspidal
forms, we construct an eigenvariety for symplectic and unitary groups that
parametrises systems of eigenvalues of overconvergent and locally analytic
$p$-adic automorphic forms. This is achieved by gluing some intermediates
eigenvarieties of a fixed 'degree of cuspidality'. The dimension of these
eigenvarieties is explicit and depends on the degree of cuspidality, it is
maximal for cuspidal forms and it is $1$ for forms that are 'not cuspidal at
all'. Under mild assumption, we are able to prove a conjecture of Urban about
the dimension of the irreducible components of Hansen's eigenvariety in the
case of the group $\mathrm{GSp}_4$ over $\mathbb{Q}$.


title:
Effective gravitational couplings for cosmological perturbations in
  generalized Proca theories

abstract:
  We consider the finite interactions of the generalized Proca theory including
the sixth-order Lagrangian and derive the full linear perturbation equations of
motion on the flat Friedmann-Lema\^{i}tre-Robertson-Walker background in the
presence of a matter perfect fluid. By construction, the propagating degrees of
freedom (besides the matter perfect fluid) are two transverse vector
perturbations, one longitudinal scalar, and two tensor polarizations. The
Lagrangians associated with intrinsic vector modes neither affect the
background equations of motion nor the second-order action of tensor
perturbations, but they do give rise to non-trivial modifications to the
no-ghost condition of vector perturbations and to the propagation speeds of
vector and scalar perturbations. We derive the effective gravitational coupling
$G_{\rm eff}$ with matter density perturbations under a quasi-static
approximation on scales deep inside the sound horizon. We find that the
existence of intrinsic vector modes allows a possibility for reducing $G_{\rm
eff}$. In fact, within the parameter space, $G_{\rm eff}$ can be even smaller
than the Newton gravitational constant $G$ at the late cosmological epoch, with
a peculiar phantom dark energy equation of state (without ghosts). The
modifications to the slip parameter $\eta$ and the evolution of growth rate
$f\sigma_8$ are discussed as well. Thus, dark energy models in the framework of
generalized Proca theories can be observationally distinguished from the
$\Lambda$CDM model according to both cosmic growth and expansion history.
Furthermore, we study the evolution of vector perturbations and show that
outside the vector sound horizon the perturbations are nearly frozen and start
to decay with oscillations after the horizon entry.


title: Exact Online String Matching Bibliography

abstract:
  In this short note we present a comprehensive bibliography for the online
exact string matching problem. The problem consists in finding all occurrences
of a given pattern in a text. It is an extensively studied problem in computer
science, mainly due to its direct applications to such diverse areas as text,
image and signal processing, speech analysis and recognition, data compression,
information retrieval, computational biology and chemistry. Since 1970 more
than 120 string matching algorithms have been proposed. In this note we present
a comprehensive list of (almost) all string matching algorithms. The list is
updated to May 2016.


title: Interacting Dark Energy: Dynamical System Analysis

abstract:
  We investigate the impacts of interaction between dark matter and dark energy
in the context of two dark energy models, holographic and ghost dark energy. In
fact, using the dynamical system analysis, we obtain the cosmological
consequence of several interactions, considering all relevant component of
universe, i.e. matter (Dark and luminous), radiation and dark energy. Studying
the phase space for all interactions in detail, we show the existence of
unstable matter dominated and stable dark energy dominated phases. We also show
that linear interactions suffer from the absence of standard radiation
dominated epoch. Interestingly, this failure resolved by adding the non-linear
interactions to the models. We find an upper bound for the value of the
coupling constant of the interaction between dark matter and dark energy as b <
0.57 in the case of holographic model, and b < 0.61 in the case of ghost dark
energy model, to result in a cosmological viable matter dominated epoch. More
specifically, this bound is vital to satisfy instability and deceleration of
matter dominated epoch.


title: Sobol' indices for problems defined in non-rectangular domains

abstract:
  A novel theoretical and numerical framework for the estimation of Sobol
sensitivity indices for models in which inputs are confined to a
non-rectangular domain (e.g., in presence of inequality constraints) is
developed. Two numerical methods, namely the quadrature integration method
which may be very efficient for problems of low and medium dimensionality and
the MC/QMC estimators based on the acceptance-rejection sampling method are
proposed for the numerical estimation of Sobol sensitivity indices. Several
model test functions with constraints are considered for which analytical
solutions for Sobol sensitivity indices were found. These solutions were used
as benchmarks for verifying numerical estimates. The method is shown to be
general and efficient.


title:
On the Outage Performance of Non-Orthogonal Multiple Access with One-Bit
  Feedback

abstract:
  In this paper, the outage performance of downlink non-orthogonal multiple
access (NOMA) is investigated for the case where each user feeds back only one
bit of its channel state information (CSI) to the base station. Conventionally,
opportunistic one-bit feedback has been used in fading broadcast channels to
select only one user for transmission. In contrast, the considered NOMA scheme
adopts superposition coding to serve all users simultaneously in order to
improve user fairness. A closed-form expression for the common outage
probability (COP) is derived, along with the optimal diversity gains under two
types of power constraints. Particularly, it is demonstrated that the diversity
gain under a long-term power constraint is twice as large as that under a
short-term power constraint. Furthermore, we study dynamic power allocation
optimization for minimizing the COP, based on one-bit CSI feedback. This
problem is challenging since the objective function is non-convex; however,
under the short-term power constraint, we demonstrate that the original problem
can be transformed into a set of convex problems. Under the long-term power
constraint, an asymptotically optimal solution is obtained for high
signal-to-noise ratio.


title:
Maximizing the information gain of a single ion microscope using bayes
  experimental design

abstract:
  We show nanoscopic transmission microscopy, using a deterministic single
particle source and compare the resulting images in terms of signal-to-noise
ratio, with those of conventional Poissonian sources. Our source is realized by
deterministic extraction of laser-cooled calcium ions from a Paul trap. Gating
by the extraction event allows for the suppression of detector dark counts by
six orders of magnitude. Using the Bayes experimental design method, the
deterministic characteristics of this source are harnessed to maximize
information gain, when imaging structures with a parametrizable transmission
function. We demonstrate such optimized imaging by determining parameter values
of one and two dimensional transmissive structures.


title:
Phase transitions in disordered systems: the example of the random-field
  Ising model in four dimensions

abstract:
  By performing a high-statistics simulation of the $D=4$ random-field Ising
model at zero temperature for different shapes of the random-field
distribution, we show that the model is ruled by a single universality class.
We compute to a high accuracy the complete set of critical exponents for this
class, including the correction-to-scaling exponent. Our results indicate that
in four dimensions: (i) dimensional reduction as predicted by the perturbative
renormalization group does not hold and (ii) three independent critical
exponents are needed to described the transition.