title:
Mutual information of excited states and relative entropy of two
  disjoint subsystems in CFT

abstract:
  In this paper, we first study mutual information of excited states in the
small subsystem size limit in generic conformal field theory. We then discuss
relative entropy of two disjoint subsystems in the same limit.


title: Massless black holes and charged wormholes in string theory

abstract:
  We discuss the zero mass pointlike solutions and charged Einstein-Rosen
bridges (wormholes) that arise from the dyonic black hole solution of the
Einstein-Maxwell-dilaton theory. These massless black holes exist individually
in spacetime, different from the known massless solutions, which come in pairs
with opposite signs for their masses. In order to construct a massless object,
we choose the integration constants of the solution to have specific values.
The massless solutions present some problems: in one case the dilaton field is
complex (or the gauge field has negative kinetic energy), and in the other case
the solution has negative entropy and temperature or it is naked singularity in
the extremal limit. For the first case, the observables computed are real
quantities. This massless solution also allow the bridge construction, and we
obtain an analytical and static charged wormhole solution, which satisfies the
null energy condition.


title: Typical length scales in conducting disorderless networks

abstract:
  We take advantage of a recently established equivalence, between the
intermittent dynamics of a deterministic nonlinear map and the scattering
matrix properties of a disorderless double Cayley tree lattice of connectivity
$K$, to obtain general electronic transport expressions and expand our
knowledge of the scattering properties at the mobility edge. From this we
provide a physical interpretation of the generalized localization length.


title: Non-crossing chords of a polygon with forbidden positions

abstract:
  In this paper, we systematically study non-crossing chords of simple polygons
in the plane. We first introduce the reduced Euler characteristic of a family
of line-segments, and subsequently investigate the structure of the diagonals
and epigonals of a polygon. Interestingly enough, the reduced Euler
characteristic of a subfamily of diagonals and epigonals characterizes the
geometric convexity of polygons. In particular, an alternative and complete
answer is given for a problem proposed by G. C. Shephard. Meanwhile, we extend
such research to non-crossing diagonals and epigonals with forbidden positions
in some appropriate sense. We prove that the reduced Euler characteristic of
diagonals with forbidden positions only depends on the information involving
convex partitions by those forbidden diagonals, and it determines the shapes of
polygons in a surprising way. Incidentally, some kinds of generalized Catalan's
numbers naturally arise.


title:
Weighted iteration complexity of the sPADMM on the KKT residuals for
  convex composite optimization

abstract:
  In this paper we establish an $\mathcal{O}({1}/{k})$ weighted iteration
complexity on the KKT residuals yielded by the sPADMM (semi-proximal
alternating direction method of multiplier) for the convex composite
optimization problem. This result, which is derived with the help of a novel
generalized HPE (hybrid proximal extra-gradient) iteration formula, first fills
the gap on the ergodic iteration complexity of the classic ADMM with a large
step-size and its many proximal variants.


title:
Tactics and Tallies: Inferring Voter Preferences in the 2016 U.S.
  Presidential Primaries Using Sparse Learning

abstract:
  In this paper, we propose a web-centered framework to infer voter preferences
for the 2016 U.S. presidential primaries. Using Twitter data collected from
Sept. 2015 to March 2016, we first uncover the tweeting tactics of the
candidates and then exploit the variations in the number of 'likes' to infer
voters' preference. With sparse learning, we are able to reveal neutral topics
as well as positive and negative ones.
  Methodologically, we are able to achieve a higher predictive power with
sparse learning. Substantively, we show that for Hillary Clinton the (only)
positive issue area is women's rights. We demonstrate that Hillary Clinton's
tactic of linking herself to President Obama resonates well with her supporters
but the same is not true for Bernie Sanders. In addition, we show that Donald
Trump is a major topic for all the other candidates, and that the women's
rights issue is equally emphasized in Sanders' campaign as in Clinton's.


title: On $\mathbb{Z}_{2}\mathbb{Z}_{2}[u]$-$(1+u)$-additive constacyclic

abstract:
  In this paper, we study $\mathbb{Z}_{2}\mathbb{Z}_{2}[u]$-$(1+u)$-additive
constacyclic code of arbitrary length. Firstly, we study the algebraic
structure of this family of codes and a set of generator polynomials for this
family as a $(\mathbb{Z}_{2}+u\mathbb{Z}_{2})[x]$-submodule of the ring
$R_{\alpha,\beta}$. Secondly, we give the minimal generating sets of this
family codes, and we determine the relationship of generators between the
$\mathbb{Z}_{2}\mathbb{Z}_{2}[u]$-$(1+u)$-additive constacyclic codes and its
dual and give the parameters in terms of the degrees of the generator
polynomials of the code. Lastly, we also study
$\mathbb{Z}_{2}\mathbb{Z}_{2}[u]$-$(1+u)$-additive constacyclic code in terms
of the Gray images.


title:
Tycho-Gaia Astrometric Solution Parallaxes and Proper Motions for Five
  Galactic Globular Clusters

abstract:
  We present a pilot study of Galactic globular cluster (GC) proper motion (PM)
determinations using Gaia data. We search for GC stars in the Tycho-Gaia
Astrometric Solution (TGAS) catalogue from Gaia Data Release 1 (DR1), and
identify five members of NGC104 (47 Tucanae), one member of NGC5272 (M3), five
members of NGC6121 (M4), seven members of NGC6397, and two members of NGC6656
(M22). By taking a weighted average of member stars, fully accounting for the
correlations between parameters, we estimate the parallax (and, hence,
distance) and PM of the GCs. This provides a homogeneous PM study of multiple
GCs based on an astrometric catalog with small and well-controlled systematic
errors, and yields random PM errors similar to existing measurements. Detailed
comparison to the available Hubble Space Telescope (HST) measurements generally
shows excellent agreement, validating the astrometric quality of both TGAS and
HST. By contrast, comparison to ground-based measurements shows that some of
those must have systematic errors exceeding the random errors. Our parallax
estimates have uncertainties an order of magnitude larger than previous
studies, but nevertheless imply distances consistent with previous estimates.
By combining our PM measurements with literature positions, distances, and
radial velocities, we measure Galactocentric space motions for the clusters and
find that these also agree well with previous analyses. Our analysis provides a
framework for determining more accurate distances and PMs of Galactic GCs using
future Gaia data releases. This will provide crucial constraints on the near
end of the cosmic distance ladder and provide accurate GC orbital histories.


title:
Faint Object Detection in Multi-Epoch Observations via Catalog Data
  Fusion

abstract:
  Observational astronomy in the time-domain era faces several new challenges.
One of them is the efficient use of observations obtained at multiple epochs.
The work presented here addresses faint object detection with multi-epoch data,
and describes an incremental strategy for separating real objects from
artifacts in ongoing surveys, in situations where the single-epoch data are
summaries of the full image data, such as single-epoch catalogs of flux and
direction estimates for candidate sources. The basic idea is to produce
low-threshold single-epoch catalogs, and use a probabilistic approach to
accumulate catalog information across epochs; this is in contrast to more
conventional strategies based on co-added or stacked image data across all
epochs. We adopt a Bayesian approach, addressing object detection by
calculating the marginal likelihoods for hypotheses asserting there is no
object, or one object, in a small image patch containing at most one cataloged
source at each epoch. The object-present hypothesis interprets the sources in a
patch at different epochs as arising from a genuine object; the no-object
(noise) hypothesis interprets candidate sources as spurious, arising from noise
peaks. We study the detection probability for constant-flux objects in a
simplified Gaussian noise setting, comparing results based on single exposures
and stacked exposures to results based on a series of single-epoch catalog
summaries. Computing the detection probability based on catalog data amounts to
generalized cross-matching: it is the product of a factor accounting for
matching of the estimated fluxes of candidate sources, and a factor accounting
for matching of their estimated directions. We find that probabilistic fusion
of multi-epoch catalog information can detect sources with only modest
sacrifice in sensitivity and selectivity compared to stacking.


title: 2-Selmer groups of hyperelliptic curves with two marked points

abstract:
  We consider the family of hyperelliptic curves over $\Q$ of fixed genus along
with a marked rational Weierstrass point and a marked rational non-Weierstrass
point. When these curves are ordered by height, we prove that the average
Mordell-Weil rank of their Jacobians is bounded above by 5/2. We prove this by
showing that the average rank of the 2-Selmer groups is bounded above by 6. We
also prove that the average size of the $\phi$-Selmer groups of a family of
isogenies associated to this family is exactly 2.


title:
The Response of an Elastic Splitter Plate Attached to a Cylinder to
  Laminar Pulsatile Flow

abstract:
  The flow-induced deformation of a thin, elastic splitter plate attached to
the rear of a circular cylinder and subjected to laminar pulsatile inflow is
investigated. The cylinder and elastic splitter plate are contained within a
narrow channel and the Reynolds number is mostly restricted to Re = 100,
primarily covering the two-dimensional flow regime. An in-house fluid-structure
interaction code is employed for simulations, which couples a sharp-interface
immersed boundary method for the fluid dynamics with a finite-element method to
treat the structural dynamics. The structural solver is implicitly (two-way)
coupled with the flow solver using a partitioned approach. This implicit
coupling ensures numerical stability at low structure-fluid density ratios. A
power spectrum analysis of the time-varying plate displacement shows that the
plate oscillates at more than a single frequency for pulsatile inflow, compared
to a single frequency observed for steady inflow. The multiple frequencies
obtained for the former case can be explained by beating between the applied
and plate oscillatory signals. The plate attains a self-sustained time-periodic
oscillation with a plateau amplitude in the case of steady flow, while the
superimposition of pulsatile inflow with induced plate oscillation affects the
plateau amplitude. Lock-in of the plate oscillation with the pulsatile inflow
occurs at a forcing frequency that is twice of the plate natural frequency in a
particular mode and this mode depends on the plate length. The plate
displacement as well as pressure drag increases at the lock-in condition. The
percentage change in the maximum plate displacement, and skin-friction and
pressure drag coefficients on the plate, due to pulsatile inflow is quantified.
The non-linear dynamics of the plate and its coupling with the pulsatile flow
are briefly discussed.


title:
Spectral and pseudospectral functions of various dimensions for
  symmetric systems

abstract:
  The main object of the paper is a symmetric system $J y'-B(t)y=\l\D(t) y$
defined on an interval $\cI=[a,b) $ with the regular endpoint $a$. Let
$\f(\cd,\l)$ be a matrix solution of this system of an arbitrary dimension and
let $(Vf)(s)=\int\limits_\cI \f^*(t,s)\D(t)f(t)\,dt$ be the Fourier transform
of the function $f(\cd)\in L_\D^2(\cI)$. We define a pseudospectral function of
the system as a matrix-valued distribution function $\s(\cd)$ of the dimension
$n_\s$ such that $V$ is a partial isometry from $L_\D^2(\cI)$ to
$L^2(\s;\bC^{n_\s})$ with the minimally possible kernel. Moreover, we find the
minimally possible value of $n_\s$ and parameterize all spectral and
pseudospectral functions of every possible dimensions $n_\s$ by means of a
Nevanlinna boundary parameter. The obtained results develop the results by Arov
and Dym; A.~Sakhnovich, L.~Sakhnovich and Roitberg; Langer and Textorius.


title: Unified Music Theories for General Equal-Temperament Systems

abstract:
  Why are white and black piano keys in an octave arranged as they are today?
This article examines the relations between abstract algebra and key signature,
scales, degrees, and keyboard configurations in general equal-temperament
systems. Without confining the study to the twelve-tone equal-temperament
(12-TET) system, we propose a set of basic axioms based on musical
observations. The axioms may lead to scales that are reasonable both
mathematically and musically in any equal-temperament system. We reexamine the
mathematical understandings and interpretations of ideas in classical music
theory, such as the circle of fifths, enharmonic equivalent, degrees such as
the dominant and the subdominant, and the leading tone, and endow them with
meaning outside of the 12-TET system. In the process of deriving scales, we
create various kinds of sequences to describe facts in music theory, and we
name these sequences systematically and unambiguously with the aim to
facilitate future research.


title: 5G Multimedia Massive MIMO Communications Systems

abstract:
  In the Fifth generation (5G) wireless communication systems, a majority of
the traffic demands is contributed by various multimedia applications. To
support the future 5G multimedia communication systems, the massive
multiple-input multiple-output (MIMO) technique is recognized as a key enabler
due to its high spectral efficiency. The massive antennas and radio frequency
(RF) chains not only improve the implementation cost of 5G wireless
communication systems but also result in an intense mutual coupling effect
among antennas because of the limited space for deploying antennas. To reduce
the cost, an optimal equivalent precoding matrix with the minimum number of RF
chains is proposed for 5G multimedia massive MIMO communication systems
considering the mutual coupling effect. Moreover, an upper bound of the
effective capacity is derived for 5G multimedia massive MIMO communication
systems. Two antenna receive diversity gain models are built and analyzed. The
impacts of the antenna spacing, the number of antennas, the quality of service
(QoS) statistical exponent, and the number of independent incident directions
on the effective capacity of 5G multimedia massive MIMO communication systems
are analyzed. Comparing with the conventional zero-forcing precoding matrix,
simulation results demonstrate that the proposed optimal equivalent precoding
matrix can achieve a higher achievable rate for 5G multimedia massive MIMO
communication systems.


title:
A Note on Random Walks with Absorbing barriers and Sequential Monte
  Carlo Methods

abstract:
  In this article we consider importance sampling (IS) and sequential Monte
Carlo (SMC) methods in the context of 1-dimensional random walks with absorbing
barriers. In particular, we develop a very precise variance analysis for
several IS and SMC procedures. We take advantage of some explicit spectral
formulae available for these models to derive sharp and explicit estimates;
this provides stability properties of the associated normalized Feynman-Kac
semigroups. Our analysis allows one to compare the variance of SMC and IS
techniques for these models. The work in this article, is one of the few to
consider an in-depth analysis of an SMC method for a particular model-type as
well as variance comparison of SMC algorithms.


title: Noise reduction combining microphone and piezoelectric device

abstract:
  It is often required to extract the sound of an objective instrument played
in concert with other instruments. Microphone array is one of the effective
ways to enhance a sound from a specific direction. However it is not effective
in an echoic room such as concert hall. The pickup microphone attached on the
specific musical instrument is often employed to obtain the sound exclusively
from other instrumental sounds. The obtained timbre differ from the one we hear
at the usual listening position. The purpose of this paper is to propose a new
method of sound separation that utilizes the piezoelectric device attached on
the body of the instrument. The signal from the attached device has a different
spectrum from the sound heard by the audience but has the same frequency
components as the instrumental sound. Our idea is to use the device signal as a
modifier of the sound focusing filter applied to the microphone sound at the
listening position. The proposed method firstly estimates the frequency
components of the signal from the piezoelectric device. The frequency
characteristics for filtering the microphone sound are changed so that it pass
the estimated frequency components. Thus we can extractthe target sound without
distortion. The proposed method is a sort of dynamic sparseness approach. It
was found that SNR is improved by 8.7dB through the experiments.


title: Extended period domains, algebraic groups, and higher Albanese manifolds

abstract:
  For a linear algebraic group G over the field of rational numbers, we
consider the period domains D classifying G-mixed Hodge structures, and
construct the extended period domains as toroidal partial compactifications. We
give an interpretation of higher Albanese manifolds by Hain and Zucker by using
the above D for some G, and extend them via the toroidal partial
compactifications.


title:
Design and performance of SiPM-based readout of PbF2 crystals for
  high-rate, precision timing applications

abstract:
  We have developed a custom amplifier board coupled to a large-format
16-channel Hamamatsu silicon photomultiplier device for use as the light sensor
for the electromagnetic calorimeters in the Muon g-2 experiment at Fermilab.
The calorimeter absorber is an array of lead-fluoride crystals, which produces
short-duration Cherenkov light. The detector sits in the high magnetic field of
the muon storage ring. The SiPMs selected, and their accompanying custom
electronics, must preserve the short pulse shape, have high quantum efficiency,
be non-magnetic, exhibit gain stability under varying rate conditions, and
cover a fairly large fraction of the crystal exit surface area. We describe an
optimized design that employs the new-generation of thru-silicon via devices.
The performance is documented in a series of bench and beam tests.


title:
On the algorithmic complexity of adjacent vertex closed distinguishing
  colorings number of graphs

abstract:
  An assignment of numbers to the vertices of graph G is closed distinguishing
if for any two adjacent vertices v and u the sum of labels of the vertices in
the closed neighborhood of the vertex v differs from the sum of labels of the
vertices in the closed neighborhood of the vertex u unless they have the same
closed neighborhood (i.e. N[u]=N[v]). The closed distinguishing number of G,
denoted by dis[G], is the smallest integer k such that there is a closed
distinguishing labeling for G using integers from the set[k].Also, for each
vertex $v \in V(G)$, let L(v) denote a list of natural numbers available at v.
A list closed distinguishing labeling is a closed distinguishing labeling f
such that $f(v)\in L(v)$ for each $v \in V(G)$.A graph G is said to be closed
distinguishing k-choosable if every k-list assignment of natural numbers to the
vertices of G permits a list closed distinguishing labeling of G. The closed
distinguishing choice number of G, $dis_{\ell}[G]$, is the minimum number k
such that G is closed distinguishing k-choosable. We show that for each integer
t there is a bipartite graph G such that $dis[G] > t$.It was shown that for
every graph G with $\Delta\geq 2$, $dis[G]\leq dis_{\ell}[G]\leq
\Delta^2-\Delta+1$ and there are infinitely values of $\Delta$ for which G
might be chosen so that $dis[G] =\Delta^2-\Delta+1$. We show that the
difference between $dis[G]$ and $dis_{\ell}[G]$ can be arbitrary large and for
every positive integer t there is a graph G such that $dis_{\ell}[G]-dis[G]\geq
t$. We improve the current upper bound and give some number of upper bounds for
the closed distinguishing choice number by using the Combinatorial
Nullstellensatz. We show that it is $\mathbf{NP}$-complete to decide for a
given planar subcubic graph G, whether dis[G]=2. Also, we prove that for every
$k\geq 3$, it is {\bf NP}-complete to decide whether $dis[G]=k$ for a given
graph G


title:
Search for GeV and X-ray flares associated with the IceCube track-like
  neutrinos

abstract:
  Dozens of high-energy neutrinos have been detected by the IceCube neutrino
telescope, but no clear association with any classes of astrophysical sources
has been identified so far. Recently, Kadler et al. (2016) report that a PeV
cascade-like neutrino event occurs in positional and temporal coincidence with
a giant gamma-ray flare of the blazar PKS B1424-418. Since IceCube track-like
events have much better angular resolution, we here search for possible
short-term gamma-ray flares that are associated with the IceCube track-like
events with Fermi Large Area Telescope (LAT) observations. Among them, three
track-like neutrino events occur within the field of view of Fermi-LAT at the
time of the detection, so search for the {\em prompt} gamma-ray emission
associated with neutrinos are possible. Assuming a point source origin and a
single power law spectrum for the possible gamma-ray sources associated with
neutrinos, a likelihood analysis of 0.2-100 GeV photons observed by Fermi-LAT
on the timescales of $\sim 12$ hours and one year are performed, and for the
three special neutrinos, the analysis are also performed on the timescales of
thousand of seconds before and after the neutrino detection. No significant GeV
excesses over the background are found and the upper limit fluxes at 95\%
confidence level are obtained for different timescales. We also search for
possible hard X-ray transient sources associated with the IceCube track-like
neutrino events, but the search also yields null results. We discuss the
implication of the non-detection of gamma-ray flares for the constraints on the
neutrino source density.


title:
Massive Machine Type Communication with Data Aggregation and Resource
  Scheduling

abstract:
  To enable massive machine type communication (mMTC), data aggregation is a
promising approach to reduce the congestion caused by a massive number of
machine type devices (MTDs). In this work, we consider a two-phase
cellular-based mMTC network where MTDs transmit to aggregators (i.e.,
aggregation phase) and the aggregated data is then relayed to base stations
(i.e., relaying phase). Due to the limited resources, the aggregators not only
aggregate data, but also schedule resources among MTDs. We consider two
scheduling schemes: random resource scheduling (RRS) and channel-aware resource
scheduling (CRS). By leveraging the stochastic geometry, we present a tractable
analytical framework to investigate the signal-to-interference ratio (SIR) for
each phase, thereby computing the MTD success probability, the average number
of successful MTDs and probability of successful channel utilization, which are
the key metrics characterizing the overall mMTC performance. Our numerical
results show that, although the CRS outperforms the RRS in terms of SIR at the
aggregation phase, the simpler RRS has almost the same performance as the CRS
for most cases with regards to the overall mMTC performance. Furthermore, the
provision of more resources at the aggregation phase is not always beneficial
to the mMTC performance.


title:
Searching for Dark Matter Annihilation in Recently Discovered Milky Way
  Satellites with Fermi-LAT

abstract:
  We search for excess gamma-ray emission coincident with the positions of
confirmed and candidate Milky Way satellite galaxies using 6 years of data from
the Fermi Large Area Telescope (LAT). Our sample of 45 stellar systems includes
28 kinematically confirmed dark-matter-dominated dwarf spheroidal galaxies
(dSphs) and 17 recently discovered systems that have photometric
characteristics consistent with the population of known dSphs. For each of
these targets, the relative predicted gamma-ray flux due to dark matter
annihilation is taken from kinematic analysis if available, and estimated from
a distance-based scaling relation otherwise, assuming that the stellar systems
are dark-matter-dominated dSphs. LAT data coincident with four of the newly
discovered targets show a slight preference (each ~$2 \sigma$ local) for
gamma-ray emission in excess of the background. However, the ensemble of
derived gamma-ray flux upper limits for individual targets is consistent with
the expectation from analyzing random blank-sky regions, and a combined
analysis of the population of stellar systems yields no globally significant
excess (global significance $<1 \sigma$). Our analysis has increased
sensitivity compared to the analysis of 15 confirmed dSphs by Ackermann et al.
2015. The observed constraints on the dark matter annihilation cross section
are statistically consistent with the background expectation, improving by a
factor of ~2 for large dark matter masses ($m_{{\rm DM},b \bar b} \gtrsim 1$
TeV and $m_{{\rm DM},\tau^{+}\tau^{-}} \gtrsim 70$ GeV) and weakening by a
factor of ~1.5 at lower masses relative to previously observed limits.


title:
A quantum phase transition detected through one dimensional ballistic
  conductance

abstract:
  A quantum phase transition is an unequivocal signature of strongly correlated
many-body physics. Signatures of such phenomena are yet to be observed in
ballistic transport through quantum wires. Recent developments in quantum wires
have made it possible to enhance the interaction between the electrons. Here we
show that hitherto unexplained anticrossing between conduction energy
sub-bands, observed in such experiments, can be explained through a simple yet
effective discretised model which undergoes a second order quantum phase
transition within the Ising universality class. Accordingly, we observe how the
charge distribution, transverse to the direction of the wire will vary across
the phase transition. We show that data coming from three different samples
with differing electron densities and gate voltages show a remarkable universal
scaling behavior, determined by the relevant critical exponent, which is only
possible near a quantum phase transition.


title: SoK: Applying Machine Learning in Security - A Survey

abstract:
  The idea of applying machine learning(ML) to solve problems in security
domains is almost 3 decades old. As information and communications grow more
ubiquitous and more data become available, many security risks arise as well as
appetite to manage and mitigate such risks. Consequently, research on applying
and designing ML algorithms and systems for security has grown fast, ranging
from intrusion detection systems(IDS) and malware classification to security
policy management(SPM) and information leak checking. In this paper, we
systematically study the methods, algorithms, and system designs in academic
publications from 2008-2015 that applied ML in security domains. 98 percent of
the surveyed papers appeared in the 6 highest-ranked academic security
conferences and 1 conference known for pioneering ML applications in security.
We examine the generalized system designs, underlying assumptions,
measurements, and use cases in active research. Our examinations lead to 1) a
taxonomy on ML paradigms and security domains for future exploration and
exploitation, and 2) an agenda detailing open and upcoming challenges. Based on
our survey, we also suggest a point of view that treats security as a game
theory problem instead of a batch-trained ML problem.


title:
Universal Hinge Patterns for Folding Strips Efficiently into Any Grid
  Polyhedron

abstract:
  We present two universal hinge patterns that enable a strip of material to
fold into any connected surface made up of unit squares on the 3D cube
grid--for example, the surface of any polycube. The folding is efficient: for
target surfaces topologically equivalent to a sphere, the strip needs to have
only twice the target surface area, and the folding stacks at most two layers
of material anywhere. These geometric results offer a new way to build
programmable matter that is substantially more efficient than what is possible
with a square $N \times N$ sheet of material, which can fold into all polycubes
only of surface area $O(N)$ and may stack $\Theta(N^2)$ layers at one point. We
also show how our strip foldings can be executed by a rigid motion without
collisions (albeit assuming zero thickness), which is not possible in general
with 2D sheet folding.
  To achieve these results, we develop new approximation algorithms for milling
the surface of a grid polyhedron, which simultaneously give a 2-approximation
in tour length and an 8/3-approximation in the number of turns. Both length and
turns consume area when folding a strip, so we build on past approximation
algorithms for these two objectives from 2D milling.


title:
Emergence of small numbers in complex systems and the origin of the
  electroweak scale

abstract:
  In sufficiently complex models with many parameters that are unknown or
undetermined from first principles, a small coupling or mass can naturally
arise even if it is not protected by a symmetry or a result of some dynamics.
For the naturalness criterion, we advocate specifying all the model parameters
with one significant figure. This automatically avoids outcomes of a given
observable that would require special highly-tuned choices for parameters. The
obtained range of outcomes is an attribute of a given model resulting from its
specific characteristics and complexity. Using these criteria in the minimal
supersymmetric model, we demonstrate that the electroweak scale up to 3 orders
of magnitude below superpartner masses naturally occurs.


title: Sparse Hierarchical Solvers with Guaranteed Convergence

abstract:
  Solving sparse linear systems from discretized PDEs is challenging. Direct
solvers have in many cases quadratic complexity (depending on geometry), while
iterative solvers require problem dependent preconditioners to be robust and
efficient. Approximate factorization preconditioners, such as incomplete LU
factorization, provide cheap approximations to the system matrix. However, even
a highly accurate preconditioner may have deteriorating performance when the
condition number of the system matrix increases. By increasing the accuracy on
low-frequency errors, we propose a novel hierarchical solver with improved
robustness with respect to the condition number of the linear system. This
solver retains the linear computational cost and memory footprint of the
original algorithm.


title: On estimating the force-freeness based on observed magnetograms

abstract:
  It is a common practice in the solar physics community to test whether or not
measured photospheric or chromospheric vector magnetograms are force-free,
using the Maxwell stress as a measure. Some previous studies have suggested
that magnetic fields of active regions in the solar chromosphere are close to
be force-free whereas there is no consistency among previous studies on whether
magnetic fields of active regions in the solar photosphere are force-free or
not. Here we use three kinds of representative magnetic fields (analytical
force-free solutions, modeled solar-like force-free fields and observed
non-force-free fields) to discuss on how the measurement issues such as limited
field of view, instrument sensitivity and measurement error could affect the
estimation of force-freeness based on observed magnetograms. Unlike previous
studies that focus on discussing the effect of limited field of view or
instrument sensitivity, our calculation shows that just measurement error alone
can significantly influence the results of force-freeness estimate, due to the
fact that measurement errors in horizontal magnetic fields are usually ten
times larger than that of the vertical fields. This property of measurement
errors, interacting with the particular form of force-freeness estimate
formula, would result in wrong judgments of the force-freeness: a truly
force-free field may be mistakenly estimated as being non-force-free and a true
non-force-free field may be estimated as being force-free. Our analysis calls
for caution when interpreting the force-freeness estimates based on measured
magnetograms, and also suggests that the true photospheric magnetic field may
be further away from being force-free than they currently appear to be.


title:
Exploring shared genetic bases and causal relationships of schizophrenia
  and bipolar disorder with 28 cardiovascular and metabolic traits

abstract:
  Cardiovascular diseases (CVD) represent a major health issue in patients with
schizophrneia (SCZ) and bipolar disorder (BD), but the exact nature of
cardiometabolic (CM) abnormalities involved and the underlying mechanisms
remain unclear. Using polygenic risk scores (PRS) and LD score regression, we
investigated the shared genetic bases of SCZ and BD with a panel of 28
cardiometabolic traits. We performed Mendelian randomization (MR) to elucidate
casual relationships between the two groups of disorders. The analysis was
based on large-scale meta-analyses of genome-wide association studies (GWAS).
We also identified the potential shared genetic variants by a statistical
approach based on local true discovery rates, and inferred the pathways
involved. We found polygenic associations of SCZ with glucose metabolism
abnormalities, adverse adipokine profiles, increased wait-hip ratio and raised
visceral adiposity. However, BMI showed inverse genetic correlation and
polygenic link with SCZ. On the other hand, we observed polygenic associations
with an overall favorable CM profile in BD. MR analysis showed that SCZ may be
causally linked to raised triglyceride and that lower fasting glucose may be
linked to BD; otherwise MR did not reveal other significant causal
relationships in general. We also identified numerous SNPs and pathways shared
between SCZ/BD with cardiometabolic traits, some of which are related to
inflammation or the immune system. In conclusion, SCZ patients may be
genetically associated with several CM abnormalities independent of medication
side-effects, and proper surveillance and management of CV risk factors may be
required from the onset of the disease. On the other hand, CM abnormalities in
BD are more likely to be secondary.


title:
Transitional steady states of exchange dynamics between finite quantum
  systems

abstract:
  We examine energy and particle exchange between finite-sized quantum systems
and find a new form of nonequilibrium states. The exchange rate undergoes
stepwise evolution in time, and its magnitude and sign dramatically change
according to system size differences. The origin lies in interference effects
contributed by multiply scattered waves at system boundaries. Although such
characteristics are utterly different from those of true steady state for
infinite systems, Onsager's reciprocal relation remains universally valid.


title: Mahalanobis Distance for Class Averaging of Cryo-EM Images

abstract:
  Single particle reconstruction (SPR) from cryo-electron microscopy (EM) is a
technique in which the 3D structure of a molecule needs to be determined from
its contrast transfer function (CTF) affected, noisy 2D projection images taken
at unknown viewing directions. One of the main challenges in cryo-EM is the
typically low signal to noise ratio (SNR) of the acquired images. 2D
classification of images, followed by class averaging, improves the SNR of the
resulting averages, and is used for selecting particles from micrographs and
for inspecting the particle images. We introduce a new affinity measure, akin
to the Mahalanobis distance, to compare cryo-EM images belonging to different
defocus groups. The new similarity measure is employed to detect similar
images, thereby leading to an improved algorithm for class averaging. We
evaluate the performance of the proposed class averaging procedure on synthetic
datasets, obtaining state of the art classification.


title:
Full counting statistics of phonon-assisted Andreev tunneling through a
  quantum dot coupled to normal and superconducting leads

abstract:
  We present a theoretical investigation for the full counting statistics of
the Andreev tunneling through a quantum dot (QD) embedded between
superconducting (SC) and normal leads in the presence of a strong on-site
electron-phonon interaction using nonequilibrium Green function method. For
this purpose, we generalize the dressed tunneling approximation (DTA) recently
developed in dealing with inelastic tunneling in a normal QD system to the
Andreev transport issue, which takes account of vibrational effect in
evaluation of electronic tunneling self energy in comparison with other simple
approaches and meanwhile allows us to derive an explicit analytical formula for
the cumulant generating function at the subgap region. We then analyze the
interplay of polaronic and SC proximity effects on the Andreev reflection
spectrum, current-voltage characteristics, and current fluctuations of the
hybrid system. Our main findings include: (1) no phonon side peaks in the
linear Andreev conductance; (2) a negative differential conductance stemming
from the suppressed Andreev reflection spectrum; (3) a novel inelastic resonant
peak in the differential conductance due to phonon assisted Andreev reflection;
(4) enhancement or suppression of shot noise for the symmetric or asymmetric
tunnel-coupling system respectively.


title:
Complete Affine Connection in the Causal Boundary: Static, Spherically
  Symmetric Spacetimes

abstract:
  The boundary at $\Cal I^+$, future null infinity, for a standard static,
spherically symmetric spactime is examined for possible linear connections. Two
independent methods are employed, one for treating $\Cal I^+$ as the future
causal boundary, and one for treating it as a conformal boundary (the latter is
subsumed in the former, which is of greater generality). Both methods provide
the same result: a constellation of various possible connections, depending on
an arbitrary choice of a certain function, a sort of gauge freedom in obtaining
a natural connection on $\Cal I^+$; choosing that function to be constant (for
instance) results in a complete connection.
  Treating $\Cal I^+$ as part of the future causal boundary, the method is to
impute affine connections on null hypersurfaces going out to $\Cal I^+$, in
terms of a transverse vector field on each null hypersurface (there is much
gauge freedom on choice of the transverse vector fields). Treating $\Cal I^+$
as part of a conformal boundary, the method is to make a choice of conformal
factor that makes the boundary totally geodesic in the enveloping manifold
(there is much gauge freedom in choice of that conformal factor).
  Similar examination is made of other boundaries, such as timelike infinity
and timelike and spacelike singularities. These are much simpler, as they admit
a unique connection from a similar limiting process (i.e., no gauge freedom);
and that connection is complete.


title: Fair representation by independent sets

abstract:
  For a hypergraph $H$ let $\beta(H)$ denote the minimal number of edges from
$H$ covering $V(H)$. An edge $S$ of $H$ is said to represent {\em fairly}
(resp. {\em almost fairly}) a partition $(V_1,V_2, \ldots, V_m)$ of $V(H)$ if
$|S\cap V_i|\ge \lfloor\frac{|V_i|}{\beta(H)}\rfloor$ (resp. $|S\cap V_i|\ge
\lfloor\frac{|V_i|}{\beta(H)}\rfloor-1$) for all $i \le m$.
  In matroids any partition of $V(H)$ can be represented fairly by some
independent set. We look for classes of hypergraphs $H$ in which any partition
of $V(H)$ can be represented almost fairly by some edge.
  We show that this is true when $H$ is the set of independent sets in a path,
and conjecture that it is true when $H$ is the set of matchings in $K_{n,n}$.
We prove that partitions of $E(K_{n,n})$ into three sets can be represented
almost fairly. The methods of proofs are topological.


title: Multiple Service Chain Placement and Routing in a Network-enabled Cloud

abstract:
  Network Function Virtualization (NFV) aims to abstract the functionality of
traditional proprietary hardware into software as Virtual Network Functions
(VNFs), which can run on commercial off the shelf (COTS) servers. Besides
reducing dependency on proprietary support, NFV helps network operators to
deploy multiple services in a agile fashion. Service deployment involves
placement and in sequence routing through VNFs comprising a Service Chain (SC).
Our study is the first to focus on the computationally complex problem of
multiple VNF SC placement and routing while considering VNF service chaining
explicitly. We propose a novel column generation model for placing multiple VNF
SCs and routing, which reduces the computational complexity of the problem
significantly. Our aim here is to determine the ideal NFV Infrastructure (NFVI)
for minimizing network resource consumption. Our results indicate that a
Network enabled Cloud (NeC) results in lower networkresource consumption than a
centralized NFVI (e.g., Data Center) while avoiding infeasibility with a
distributed NFVI.


title:
Observation of resonant scattering between ultracold heteronuclear
  Feshbach molecules

abstract:
  We report the observation of a dimer-dimer inelastic collision resonance for
ultracold Feshbach molecules made of bosonic sodium and rubidium atoms. This
resonance, which we attribute to the crossing of the dimer-dimer threshold with
a heteronuclear tetramer state, manifests itself as a pronounced inelastic loss
peak of dimers when the interspecies scattering length between the constituent
atoms is tuned. Near this resonance, a strong modification of the temperature
dependence of the dimer-dimer scattering is observed. Our result provides
insight into the heteronuclear four-body system consisting of heavy and light
bosons and offers the possibility of investigating ultracold molecules with
tunable interactions.


title: Low Data Drug Discovery with One-shot Learning

abstract:
  Recent advances in machine learning have made significant contributions to
drug discovery. Deep neural networks in particular have been demonstrated to
provide significant boosts in predictive power when inferring the properties
and activities of small-molecule compounds. However, the applicability of these
techniques has been limited by the requirement for large amounts of training
data. In this work, we demonstrate how one-shot learning can be used to
significantly lower the amounts of data required to make meaningful predictions
in drug discovery applications. We introduce a new architecture, the residual
LSTM embedding, that, when combined with graph convolutional neural networks,
significantly improves the ability to learn meaningful distance metrics over
small-molecules. We open source all models introduced in this work as part of
DeepChem, an open-source framework for deep-learning in drug discovery.


title:
Finite-size corrections and scaling for the dimer model on the
  checkerboard lattice

abstract:
  Lattice models are useful for understanding behaviors of interacting complex
many-body systems. The lattice dimer model has been proposed to study the
adsorption of diatomic molecules on a substrate. Here we analyze the partition
function of the dimer model on an $2 M \times 2 N$ checkerboard lattice wrapped
on a torus and derive the exact asymptotic expansion of the logarithm of the
partition function. We find that the internal energy at the critical point is
equal to zero. We also derive the exact finite-size corrections for the free
energy, the internal energy, and the specific heat. Using the exact partition
function and finite-size corrections for the dimer model on finite checkerboard
lattice we obtain finite-size scaling functions for the free energy, the
internal energy, and the specific heat of the dimer model. We investigate the
properties of the specific heat near the critical point and find that
specific-heat pseudocritical point coincides with the critical point of the
thermodynamic limit, which means that the specific-heat shift exponent
$\lambda$ is equal to $\infty$. We have also considered the limit $N \to
\infty$ for which we obtain the expansion of the free energy for the dimer
model on the infinitely long cylinder. From a finite-size analysis we have
found that two conformal field theories with the central charges $c = 1$ for
the height function description and $c = -2$ for the construction using a
mapping of spanning trees can be used to describe the dimer model on the
checkerboard lattice.


title: Twist-3 Distribution Amplitudes of Pion in the Light-Front Quark Model

abstract:
  We analyzed two twist-3 distribution amplitudes of pion, i.e. pseudoscalar
$\phi^P_{3;\pi}(x)$ and pseudotensor $\phi^\sigma_{3;\pi}(x)$, within the LFQM.
Our LFQM descriptions both for twist-3 $\phi^P_{3;\pi}$ and
$\phi^\sigma_{3;\pi}$ not only satisfy the fundamental constraint required from
the isospin symmetry, but also reproduce exactly the asymptotic forms
anticipated from QCD's conformal limit.


title: Fast Adaptation of Activity Sensing Policies in Mobile Devices

abstract:
  With the proliferation of sensors, such as accelerometers, in mobile devices,
activity and motion tracking has become a viable technology to understand and
create an engaging user experience. This paper proposes a fast adaptation and
learning scheme of activity tracking policies when user statistics are unknown
a priori, varying with time, and inconsistent for different users. In our
stochastic optimization, user activities are required to be synchronized with a
backend under a cellular data limit to avoid overcharges from cellular
operators. The mobile device is charged intermittently using wireless or wired
charging for receiving the required energy for transmission and sensing
operations. Firstly, we propose an activity tracking policy by formulating a
stochastic optimization as a constrained Markov decision process (CMDP).
Secondly, we prove that the optimal policy of the CMDP has a threshold
structure using a Lagrangian relaxation approach and the submodularity concept.
We accordingly present a fast Q-learning algorithm by considering the policy
structure to improve the convergence speed over that of conventional
Q-learning. Finally, simulation examples are presented to support the
theoretical findings of this paper.


title: High orbital angular momentum harmonic generation

abstract:
  We identify and explore a high orbital angular momentum (OAM) harmonics
generation and amplification mechanism that manipulates the OAM independently
of any other laser property, by preserving the initial laser wavelength,
through stimulated Raman backscattering in a plasma. The high OAM harmonics
spectra can extend at least up to the limiting value imposed by the paraxial
approximation. We show with theory and particle-in-cell simulations that the
orders of the OAM harmonics can be tuned according to a selection rule that
depends on the initial OAM of the interacting waves. We illustrate the high OAM
harmonics generation in a plasma using several examples including the
generation of prime OAM harmonics. The process can also be realised in any
nonlinear optical Kerr media supporting three-wave interactions.


title: Top-k Spatial-keyword Publish/Subscribe Over Sliding Window

abstract:
  With the prevalence of social media and GPS-enabled devices, a massive amount
of geo-textual data has been generated in a stream fashion, leading to a
variety of applications such as location-based recommendation and information
dissemination. In this paper, we investigate a novel real-time top-k monitoring
problem over sliding window of streaming data; that is, we continuously
maintain the top-k most relevant geo-textual messages (e.g., geo-tagged tweets)
for a large number of spatial-keyword subscriptions (e.g., registered users
interested in local events) simultaneously. To provide the most recent
information under controllable memory cost, sliding window model is employed on
the streaming geo-textual data. To the best of our knowledge, this is the first
work to study top-k spatial-keyword publish/subscribe over sliding window. A
novel centralized system, called Skype (Topk Spatial-keyword
Publish/Subscribe), is proposed in this paper. In Skype, to continuously
maintain top-k results for massive subscriptions, we devise a novel indexing
structure upon subscriptions such that each incoming message can be immediately
delivered on its arrival. To reduce the expensive top-k re-evaluation cost
triggered by message expiration, we develop a novel cost-based k-skyband
technique to reduce the number of re-evaluations in a cost-effective way.
Extensive experiments verify the great efficiency and effectiveness of our
proposed techniques. Furthermore, to support better scalability and higher
throughput, we propose a distributed version of Skype, namely, DSkype, on top
of Storm, which is a popular distributed stream processing system. With the
help of fine-tuned subscription/message distribution mechanisms, DSkype can
achieve orders of magnitude speed-up than its centralized version.


title: Generalized thermalization for integrable system under quantum quench

abstract:
  We investigate equilibration and generalized thermalization of the quantum
Harmonic chain under local quantum quench. The quench action we consider is
connecting two disjoint harmonic chains of different sizes and the system jumps
between two integrable settings. We verify the validity of the Generalized
Gibbs Ensemble description for this infinite dimensional Hilbert space system
and also identify equilibration between the subsystems as in classical systems.
Using Bogoliubov transformations, we show that the eigenstates of the system
prior to the quench evolve towards the Gibbs Generalized Ensemble description.
Eigenstates that are more delocalized (in the sense of inverse participation
ratio) prior to the quench, tend to equilibrate more rapidly. Further, through
the phase space properties of a Generalized Gibbs Ensemble and the strength of
stimulated emission, we identify the necessary criterion on the initial states
for such relaxation at late times and also find out the states which would
potentially not be described by the Gibbs Generalized Ensemble description.

categories: quant-ph cond-mat.stat-mech gr-qc hep-th


title:
Probabilistic Energy Management for Building Climate Comfort in Smart
  Thermal Grids with Seasonal Storage Systems

abstract:
  This paper presents an energy management framework for building climate
comfort (BCC) systems interconnected in a grid via aquifer thermal energy
storage (ATES) systems in the presence of two types of uncertainty (private and
common). ATES can be used either as a heat source (hot well) or sink (cold
well) depending on the season. We consider the uncertain thermal energy demand
of individual buildings as a private uncertainty source and the uncertain
common resource pool (ATES) between neighbors as a common uncertainty source.
We develop a large-scale stochastic hybrid dynamical model to predict the
thermal energy imbalance in a network of interconnected BCC systems together
with mutual interactions between their local ATES. We formulate a
finite-horizon mixed-integer quadratic optimization problem with multiple
chance constraints at each sampling time, which is in general a non-convex
problem and difficult to solve. We then provide a computationally tractable
framework by extending the so-called robust randomized approach and offering a
less conservative solution for a problem with multiple chance constraints. A
simulation study is provided to compare completely decoupled, centralized and
move-blocking centralized solutions. We also present a numerical study using a
geohydrological simulation environment (MODFLOW) to illustrate the advantages
of our proposed framework.


title:
Ultrafast dynamics of non-equilibrium electrons and strain generation
  under femtosecond laser irradiation of Nickel

abstract:
  We present a theoretical study of the ultrafast electron dynamics in
transition metals using ultrashort pulsed laser beams. The significant
influence of the contribution of the dynamics of produced nonthermal electrons
to electron thermalisation and electron-phonon interaction is thoroughly
investigated within a range of values of the pulse duration (i.e. from 10fs to
2.3ps). The theoretical model elaborates firstly on possible transient changes
of optical parameters during irradiation due to the presence of the
non-equilibrium electrons and the modification of the electron distribution
function in a material characterized by a variable electron density of states
around the Fermi energy. The model correlates the role of nonthermal electrons,
relaxation processes and induced stress-strain fields. Simulations are
presented by choosing Nickel (Ni) as a test material to compute electron-phonon
relaxation time due to its large electron-phonon coupling constant that expects
to reveal more conclusively the influence of the non-equilibrium electrons. We
demonstrate the consideration of the above factors leads to significant changes
compared to the results the traditional Two Temperature Model (TTM) provides.
The proposed model predicts a substantially (~33%) smaller damage threshold and
a large increase of the stress (~20%, at early times) which firstly underlines
the role of the nonthermal electron interactions and secondly enhances its
importance with respect to the precise determination of laser specifications in
material micromachining techniques.


title:
SU(N) affine Toda solitons and breathers from transparent Dirac
  potentials

abstract:
  Transparent scalar and pseudoscalar potentials in the one-dimensional Dirac
equation play an important role as self-consistent mean fields in 1+1
dimensional four-fermion theories (Gross-Neveu, Nambu-Jona Lasinio models) and
quasi-one dimensional superconductors (Bogoliubov-De Gennes equation). Here, we
show that they also serve as seed to generate a large class of classical
multi-soliton and multi-breather solutions of su(N) affine Toda field theories,
including the Lax representation and the corresponding vector. This generalizes
previous findings about the relationship between real kinks in the Gross-Neveu
model and classical solitons of the sinh-Gordon equation to complex twisted
kinks.


title: Vacuum Measurements and Quantum State Reconstruction of Phonons

abstract:
  A quantum state is fully characterized by its density matrix or equivalently
by its quasiprobabilities in phase space. A scheme to identify the
quasiprobabilities of a quantum state is an important tool in the recent
development of quantum technologies. Based on our highly efficient vacuum
measurement scheme, we measure the quasiprobability $Q$-function of the
vibrational motion for a \Yb ion {\it resonantly} interacting with its internal
energy states. This interaction model is known as the Jaynes-Cummings model
which is one of the fundamental models in quantum electrodynamics. We apply the
capability of the vacuum measurement to study the Jaynes-Cummings dynamics,
where the Gaussian peak of the initial coherent state is known to bifurcate and
rotate around the origin of phase space. They merge at the so-called revival
time at the other side of phase space. The measured $Q$-function agrees with
the theoretical prediction. Moreover, we reconstruct the Wigner function by
deconvoluting the $Q$-function and observe the quantum interference in the
Wigner function at half of the revival time, where the vibrational state
becomes nearly disentangled from the internal energy states and forms a
superposition of two composite states. The scheme can be applied to other
physical setups including cavity or circuit-QED and optomechanical systems.


title: Benchmark of the bootstrap current simulation in helical plasmas

abstract:
  The importance of the parallel momentum conservation on the bootstrap current
evaluation in nonaxisymmetric systems is demonstrated by the benchmarks among
the local drift-kinetic equation solvers, i.e., the Zero-Orbit-width(ZOW),
DKES, and PENTA codes. The ZOW model is extended to include the ion parallel
mean flow effect on the electron-ion parallel friction. Compared to the DKES
model in which only the pitch-angle-scattering term is included in the
collision operator, the PENTA model employs the Sugama-Nishimura method to
correct the momentum balance. The ZOW and PENTA models agree each other well on
the calculations of the bootstrap current. The DKES results without the
parallel momentum conservation deviates significantly from those from the ZOW
and PENTA models. This work verifies the reliability of the bootstrap current
calculation with the ZOW and PENTA models for the helical plasmas.


title:
Test beam studies of the light yield, time and coordinate resolutions of
  scintillator strips with WLS fibers and SiPM readout

abstract:
  Prototype scintilator+WLS strips with SiPM readout for large muon detection
systems were tested in the muon beam of the Fermilab Test Beam Facility. Light
yield of up to 137 photoelectrons per muon per strip has been observed, as well
as time resolution of 330 ps and position resolution along the strip of 5.4 cm.


title:
Boxy/Peanut/X-shape bulges: steep inner rotation curve leads to barlens
  face-on morphology

abstract:
  We use stellar dynamical bulge/disk/halo simulations to study whether
barlenses (lens-like structures embedded in the narrow bar component) are just
the face-on counterparts of Boxy/Peanut/X-shapes (B/P/X) seen in edge-on bars,
or if some additional physical parameter affects that morphology. A range of
bulge-to-disk mass and size ratios are explored: our nominal parameters
($B/D=0.08$, $r_{\rm eff}/h_r=0.07$, disk comprising 2/3 of total force at
$2.2h_r$) correspond to typical MW mass galaxies. In all models a bar with
pronounced B/P/X forms in a few Gyrs, visible in edge-on view. However, the
pure barlens morphology forms only in models with sufficiently steep inner
rotation curves, $dV_{cir}/dr\gtrsim5V_{max}/h_r$, achieved when including a
small classical bulge with $B/D\gtrsim0.02$ and $r_{\rm eff}/h_r\lesssim0.1$.
For shallower slopes the central structure still resembles a barlens, but shows
a clear X-signature even in low inclinations. Similar result holds for
bulgeless simulations, where the central slope is modified by changing the halo
concentration. The predicted sensitivity on inner rotation curve is consistent
with the slopes estimated from gravitational potentials calculated from the
3.6$\mu$m images, for the observed barlens and X-shape galaxies in the Spitzer
Survey of Stellar Structure in Galaxies (S$^4$G). For inclinations $<60^\circ$
the galaxies with barlenses have on average twice steeper inner rotation curves
than galaxies with X-shapes: the limiting slope is $\sim250$km/s/kpc. Among
barred galaxies, those with barlenses have both the strongest bars and the
largest relative excess of inner surface density, both in barlens region
($\lesssim0.5h_r$) and near the center ($\lesssim0.1h_r$); this provides
evidence for bar-driven secular evolution in galaxies.


title: Length Matters: Clustering System Log Messages using Length of Words

abstract:
  The analysis techniques of system log messages (syslog messages) have a long
history from when the syslog mechanism was invented. Typically, the analysis
consists of two parts, one is a message template generation, and the other is
finding something interesting using the messages classified by the inferred
templates. It is important to generate better templates to achieve better,
precise, or convincible analysis results. In this paper, we propose a
classification methodology using the length of words of each message. Our
method is suitable for online template generation because it does not require
two-pass analysis to generate template messages, that is an important factor
considering increasing amount of log messages produced by a large number of
system components such as cloud infrastructure.


title: Ultimate tensorization: compressing convolutional and FC layers alike

abstract:
  Convolutional neural networks excel in image recognition tasks, but this
comes at the cost of high computational and memory complexity. To tackle this
problem, [1] developed a tensor factorization framework to compress
fully-connected layers. In this paper, we focus on compressing convolutional
layers. We show that while the direct application of the tensor framework [1]
to the 4-dimensional kernel of convolution does compress the layer, we can do
better. We reshape the convolutional kernel into a tensor of higher order and
factorize it. We combine the proposed approach with the previous work to
compress both convolutional and fully-connected layers of a network and achieve
80x network compression rate with 1.1% accuracy drop on the CIFAR-10 dataset.


title: CMS software and computing for LHC Run 2

abstract:
  The CMS offline software and computing system has successfully met the
challenge of LHC Run 2. In this presentation, we will discuss how the entire
system was improved in anticipation of increased trigger output rate, increased
rate of pileup interactions and the evolution of computing technology. The
primary goals behind these changes was to increase the flexibility of computing
facilities where ever possible, as to increase our operational efficiency, and
to decrease the computing resources needed to accomplish the primary offline
computing workflows. These changes have resulted in a new approach to
distributed computing in CMS for Run 2 and for the future as the LHC luminosity
should continue to increase. We will discuss changes and plans to our data
federation, which was one of the key changes towards a more flexible computing
model for Run 2. Our software framework and algorithms also underwent
significant changes. We will summarize the our experience with a new
multi-threaded framework as deployed on our prompt reconstruction farm for 2015
and across the CMS WLCG Tier-1 facilities. We will discuss our experience with
a analysis data format which is ten times smaller than our primary Run 1
format. This "miniAOD" format has proven to be easier to analyze while be
extremely flexible for analysts. Finally, we describe improvements to our
workflow management system that have resulted in increased automation and
reliability for all facets of CMS production and user analysis operations.


title:
Application of Tomographic Reconstruction Techniques for Density
  Analysis of Green Bodies

abstract:
  Progress in the manufacturing of ceramics, but also of sintered metals,
strongly relies on the evaluation of the density distribution in green bodies.
This evaluation is crucial from many points of view, including the calibration
of constitutive models for \textit{in-silico} simulation of densification
processes. To this end, X-ray tomography and other techniques are possible but
can be unmanageable for some institutions. Therefore, a destructive method is
introduced in the present article to measure the density field of a green body
sample using a CNC mill, an analytical balance, and analysis techniques from
the field of computational tomography. A virtual experiment is presented where
the method is used to reconstruct a simulated green body density field and is
found to satisfactorily correspond to the original solution. The green body
density field of a truncated cylinder made of alumina powder is evaluated using
this method and the reconstructed field is presented.


title: Real Time Video Analysis using Smart Phone Camera for Stroboscopic Image

abstract:
  Motion capturing and there by segmentation of the motion of any moving object
from a sequence of continuous images or a video is not an exceptional task in
computer vision area. Smart-phone camera application is an added integration
for the development of such tasks and it also provides for a smooth testing. A
new approach has been proposed for segmenting out the foreground moving object
from the background and then masking the sequential motion with the static
background which is commonly known as stroboscopic image. In this paper the
whole process of the stroboscopic image construction technique has been clearly
described along with some necessary constraints which is due to the traditional
problem of estimating and modeling dynamic background changes. The background
subtraction technique has been properly estimated here and number of sequential
motion have also been calculated with the correlation between the motion of the
object and its time of occurrence. This can be a very effective application
that can replace the traditional stroboscopic system using high end SLR
cameras, tripod stand, shutter speed control and position etc.


title:
Learning to Play Guess Who? and Inventing a Grounded Language as a
  Consequence

abstract:
  Acquiring your first language is an incredible feat and not easily
duplicated. Learning to communicate using nothing but a few pictureless books,
a corpus, would likely be impossible even for humans. Nevertheless, this is the
dominating approach in most natural language processing today. As an
alternative, we propose the use of situated interactions between agents as a
driving force for communication, and the framework of Deep Recurrent Q-Networks
for evolving a shared language grounded in the provided environment. We task
the agents with interactive image search in the form of the game Guess Who?.
The images from the game provide a non trivial environment for the agents to
discuss and a natural grounding for the concepts they decide to encode in their
communication. Our experiments show that the agents learn not only to encode
physical concepts in their words, i.e. grounding, but also that the agents
learn to hold a multi-step dialogue remembering the state of the dialogue from
step to step.


title: Statistical regionalization for estimation of extreme river discharges

abstract:
  Regionalization methods have long been used to estimate high return levels of
river discharges at ungauged locations on a river network. In these methods,
the recorded discharge measurements of a group of similar, gauged, stations is
used to estimate high quantiles at the target catchment that has no
observations. This group is called the region of influence and its similarity
to the ungauged location is measured in terms of physical and meteorological
catchment attributes. We develop a statistical method for estimation of high
return levels based on regionalizing the parameters of a generalized extreme
value distribution. The region of influence is chosen in an optimal way,
ensuring similarity and in-group homogeneity. Our method is applied to
discharge data from the Rhine basin in Switzerland, and its performance at
ungauged locations is compared to that of classical regionalization methods.
For gauged locations we show how our approach improves the estimation
uncertainty for long return periods by combining local measurements with those
from the region of influence.


title: Faster Kernel Ridge Regression Using Sketching and Preconditioning

abstract:
  Kernel Ridge Regression (KRR) is a simple yet powerful technique for
non-parametric regression whose computation amounts to solving a linear system.
This system is usually dense and highly ill-conditioned. In addition, the
dimensions of the matrix are the same as the number of data points, so direct
methods are unrealistic for large-scale datasets. In this paper, we propose a
preconditioning technique for accelerating the solution of the aforementioned
linear system. The preconditioner is based on random feature maps, such as
random Fourier features, which have recently emerged as a powerful technique
for speeding up and scaling the training of kernel-based methods, such as
kernel ridge regression, by resorting to approximations. However, random
feature maps only provide crude approximations to the kernel function, so
delivering state-of-the-art results by directly solving the approximated system
requires the number of random features to be very large. We show that random
feature maps can be much more effective in forming preconditioners, since under
certain conditions a not-too-large number of random features is sufficient to
yield an effective preconditioner. We empirically evaluate our method and show
it is highly effective for datasets of up to one million training examples.


title:
Indecomposable $1$-factorizations of the complete multigraph $\lambda
  K_{2n}$ for every $\lambda\leq 2n$

abstract:
  A $1$-factorization of the complete multigraph $\lambda K_{2n}$ is said to be
indecomposable if it cannot be represented as the union of $1$-factorizations
of $\lambda_0 K_{2n}$ and $(\lambda-\lambda_0) K_{2n}$, where
$\lambda_0<\lambda$. It is said to be simple if no $1$-factor is repeated. For
every $n\geq 9$ and for every $(n-2)/3\leq\lambda\leq 2n$, we construct an
indecomposable $1$-factorization of $\lambda K_{2n}$ which is not simple. These
$1$-factorizations provide simple and indecomposable $1$-factorizations of
$\lambda K_{2s}$ for every $s\geq 18$ and $2\leq\lambda\leq 2\lfloor
s/2\rfloor-1$. We also give a generalization of a result by Colbourn et al.
which provides a simple and indecomposable $1$-factorization of $\lambda
K_{2n}$, where $2n=p^m+1$, $\lambda=(p^m-1)/2$, $p$ prime.


title: A note on the Monge-Amp\`ere type equations with general source terms

abstract:
  In this paper we consider the generalised solutions to the Monge-Amp{\`{e}}re
type equations with general source terms. We firstly prove the so-called
comparison principle and then give some important propositions for the border
of generalised solutions. Furthermore, we design well-posed finite element
methods for the generalised solutions with the classical and weak Dirichlet
boundary conditions respectively.


title: Chiral Separation by Flows: The Role of Flow Symmetry and Dimensionality

abstract:
  Separation of enantiomers by flows is a promising chiral resolution method
using cost-effective microfluidics. Notwithstanding a number of experimental
and numerical studies, a fundamental understanding still remains elusive, and
an important question as to whether it is possible to specify common physical
properties of flows that induce separation has not been addressed. Here, we
study the separation of rigid chiral objects of an arbitrary shape induced by a
linear flow field at low Reynolds numbers. Based on a symmetry property under
parity inversion, we show that the rate-of-strain field is essential to drift
the objects in opposite directions according to chirality. From eigenmode
analysis, we also derive an analytic expression for the separation conditions
which shows that the flow field should be quasi-two-dimensional for the precise
and efficient resolutions of microscopic enantiomers. We demonstrate this
prediction by Langevin dynamics simulations with hydrodynamic interactions
fully implemented. Finally, we discuss the practical feasibility of the linear
flow analysis, considering separations by a vortex flow or an extensional flow
under a confining potential.


title: Rough I-statistical convergence of sequences

abstract:
  The concept of I-statistical convergence of sequence was first defined by Das
et.al [2]. In this paper we introduce and study the notion of rough
I-statistical convergence of sequence in normed linear Spaces. We also define
the set of rough I-statistical limits of a sequence and discuss some
topological properties of this set.


title: Sharper Bounds for Regularized Data Fitting

abstract:
  We study matrix sketching methods for regularized variants of linear
regression, low rank approximation, and canonical correlation analysis. Our
main focus is on sketching techniques which preserve the objective function
value for regularized problems, which is an area that has remained largely
unexplored. We study regularization both in a fairly broad setting, and in the
specific context of the popular and widely used technique of ridge
regularization; for the latter, as applied to each of these problems, we show
algorithmic resource bounds in which the {\em statistical dimension} appears in
places where in previous bounds the rank would appear. The statistical
dimension is always smaller than the rank, and decreases as the amount of
regularization increases. In particular, for the ridge low-rank approximation
problem $\min_{Y,X} \lVert YX - A \rVert_F^2 + \lambda \lVert Y\rVert_F^2 +
\lambda\lVert X \rVert_F^2$, where $Y\in\mathbb{R}^{n\times k}$ and
$X\in\mathbb{R}^{k\times d}$, we give an approximation algorithm needing \[
O(\mathtt{nnz}(A)) + \tilde{O}((n+d)\varepsilon^{-1}k \min\{k,
\varepsilon^{-1}\mathtt{sd}_\lambda(Y^*)\})+
\mathtt{poly}(\mathtt{sd}_\lambda(Y^*) \varepsilon^{-1}) \] time, where
$s_{\lambda}(Y^*)\le k$ is the statistical dimension of $Y^*$, $Y^*$ is an
optimal $Y$, $\varepsilon$ is an error parameter, and $\mathtt{nnz}(A)$ is the
number of nonzero entries of $A$.This is faster than prior work, even when
$\lambda=0$.
  We also study regularization in a much more general setting. For example, we
obtain sketching-based algorithms for the low-rank approximation problem
$\min_{X,Y} \lVert YX - A \rVert_F^2 + f(Y,X)$ where $f(\cdot,\cdot)$ is a
regularizing function satisfying some very general conditions (chiefly,
invariance under orthogonal transformations).


title: Executing Dynamic Data Rate Actor Networks on OpenCL Platforms

abstract:
  Heterogeneous computing platforms consisting of general purpose processors
(GPPs) and graphics processing units (GPUs) have become commonplace in personal
mobile devices and embedded systems. For years, programming of these platforms
was very tedious and simultaneous use of all available GPP and GPU resources
required low-level programming to ensure efficient synchronization and data
transfer between processors. However, in the last few years several high-level
programming frameworks have emerged, which enable programmers to describe
applications by means of abstractions such as dataflow or Kahn process networks
and leave parallel execution, data transfer and synchronization to be handled
by the framework.
  Unfortunately, even the most advanced high-level programming frameworks have
had shortcomings that limit their applicability to certain classes of
applications. This paper presents a new, dataflow-flavored programming
framework targeting heterogeneous platforms, and differs from previous
approaches by allowing GPU-mapped actors to have data dependent consumption of
inputs / production of outputs. Such flexibility is essential for configurable
and adaptive applications that are becoming increasingly common in signal
processing. In our experiments it is shown that this feature allows up to 5x
increase in application throughput.
  The proposed framework is validated by application examples from the video
processing and wireless communications domains. In the experiments the
framework is compared to a well-known reference framework and it is shown that
the proposed framework enables both a higher degree of flexibility and better
throughput.


title:
Feature Selection with the R Package MXM: Discovering
  Statistically-Equivalent Feature Subsets

abstract:
  The statistically equivalent signature (SES) algorithm is a method for
feature selection inspired by the principles of constrained-based learning of
Bayesian Networks. Most of the currently available feature-selection methods
return only a single subset of features, supposedly the one with the highest
predictive power. We argue that in several domains multiple subsets can achieve
close to maximal predictive accuracy, and that arbitrarily providing only one
has several drawbacks. The SES method attempts to identify multiple, predictive
feature subsets whose performances are statistically equivalent. Under that
respect SES subsumes and extends previous feature selection algorithms, like
the max-min parent children algorithm. SES is implemented in an homonym
function included in the R package MXM, standing for mens ex machina, meaning
'mind from the machine' in Latin. The MXM implementation of SES handles several
data-analysis tasks, namely classification, regression and survival analysis.
In this paper we present the SES algorithm, its implementation, and provide
examples of use of the SES function in R. Furthermore, we analyze three
publicly available data sets to illustrate the equivalence of the signatures
retrieved by SES and to contrast SES against the state-of-the-art feature
selection method LASSO. Our results provide initial evidence that the two
methods perform comparably well in terms of predictive accuracy and that
multiple, equally predictive signatures are actually present in real world
data.


title:
Phase diagram of the two-dimensional O(3) model from dual lattice
  simulations

abstract:
  We have simulated the asymptotically free two-dimensional O(3) model at
nonzero chemical potential using the model's dual representation. We first
demonstrate how the latter solves the sign (complex action) problem. The system
displays a crossover at nonzero temperature, while at zero temperature it
undergoes a quantum phase transition when mu reaches the particle mass
(generated dynamically similar to QCD). The density follows a square root
behavior universal for repulsive bosons in one spatial dimension. We have also
measured the spin stiffness, known to be sensitive to the spatial correlation
length, using different scaling trajectories to zero temperature and infinite
size. It points to a dynamical critical exponent z=2. Comparisons to
thermodynamic Bethe ansaetze are shown as well.


title:
Higher-Order Multilevel Framework for ADER Scheme in Computational
  Aeroacoustics

abstract:
  The versatile Arbitrary-DERivative (ADER) scheme is cast in a multilevel
framework (ML-ADER) for fast solution of system of linear hyperbolic partial
differential equations. The solution is cycled through spatial operators of
varying accuracy while retaining highest-order accuracy by the use of a forcing
function. Accuracy analysis of the multilevel framework including in the
ML-ADER form is carried out in time-domain as well as frequency-domain. Results
are obtained for benchmark problems in computational aeroacoustics at a much
reduced computational cost.


title:
A new migration mechanism for oversized solutes in cubic lattices:
  correlation effects

abstract:
  Recent ab-initio calculations showed that oversized solute atoms (OSA) in BCC
and FCC iron exhibit a very strong attraction with a nearby vacancy (V) at
first neighbour distance (1NN). The attraction it is so large that the 1NN pair
OSA+V is no longer stable and relaxes spontaneously towards a new configuration
where the OSA sits in the middle of the bond, the two ends of which are
decorated with two half-vacancies (V/2). Taking into account the formation of
this complex V/2+OSA+V/2 in the migration process has never been done before:
it requires a new formulation of correlation effects. This is the aim of the
present contribution which establishes the expression of the diffusion
coefficient of the OSA and evaluates exactly the correlation factor in BCC and
FCC lattices, thanks to the introduction of macrojumps. The formalism is
applied to the case of Y in BCC iron and its results are compared to those
obtained by previous authors. It is shown that the smallness of the correlation
factor is not due to the transport mechanism of the OSA but only to the jump
frequencies of the vacancy in the vicinity of the OSA. This smallness of the
correlation factor is however overcompensated by a large macrojump frequency,
and, as a result, the Y atom diffuses more rapidly than iron at all
temperatures by orders of magnitude in the two structures.


title: Policy Search with High-Dimensional Context Variables

abstract:
  Direct contextual policy search methods learn to improve policy parameters
and simultaneously generalize these parameters to different context or task
variables. However, learning from high-dimensional context variables, such as
camera images, is still a prominent problem in many real-world tasks. A naive
application of unsupervised dimensionality reduction methods to the context
variables, such as principal component analysis, is insufficient as
task-relevant input may be ignored. In this paper, we propose a contextual
policy search method in the model-based relative entropy stochastic search
framework with integrated dimensionality reduction. We learn a model of the
reward that is locally quadratic in both the policy parameters and the context
variables. Furthermore, we perform supervised linear dimensionality reduction
on the context variables by nuclear norm regularization. The experimental
results show that the proposed method outperforms naive dimensionality
reduction via principal component analysis and a state-of-the-art contextual
policy search method.


title: Central loops in random planar graphs

abstract:
  Random planar graphs appear in a variety of context and it is important for
many different applications to be able to characterize their structure. Local
quantities fail to give interesting information and it seems that path-related
measures are able to convey relevant information about the organization of
these structures. In particular, nodes with a large betweenness centrality (BC)
display non-trivial patterns, such as central loops. We first discuss empirical
results for different random planar graphs and we then propose a toy model
which allows us to discuss the condition for the emergence of non-trivial
patterns such as central loops. This toy model is made of a star network with
$N_b$ branches of size $n$ and links of weight $1$, superimposed to a loop at
distance $\ell$ from the center and with links of weight $w$. We estimate for
this model the BC at the center and on the loop and we show that the loop can
be more central than the origin if $w<w_c$ where the threshold of this
transition scales as $w_c\sim n/N_b$. In this regime, there is an optimal
position of the loop that scales as $\ell_{opt}\sim N_b w/4$. This simple model
sheds some light on the organization of these random structures and allows us
to discuss the effect of randomness on the centrality of loops. In particular,
it suggests that the number and the spatial extension of radial branches are
the crucial ingredients that control the existence of central loops.


title: Large-scale JPEG steganalysis using hybrid deep-learning framework

abstract:
  Adoption of deep learning in image steganalysis is still in its initial
stage. In this paper we propose a generic hybrid deep-learning framework for
JPEG steganalysis incorporating the domain knowledge behind rich steganalytic
models. Our proposed framework involves two main stages. The first stage is
hand-crafted, corresponding to the convolution phase and the quantization &
truncation phase of the rich models. The second stage is a compound deep neural
network containing multiple deep subnets in which the model parameters are
learned in the training procedure. We provided experimental evidences and
theoretical reflections to argue that the introduction of threshold quantizers,
though disable the gradient-descent-based learning of the bottom convolution
phase, is indeed cost-effective. We have conducted extensive experiments on a
large-scale dataset extracted from ImageNet. The primary dataset used in our
experiments contains 500,000 cover images, while our largest dataset contains
five million cover images. Our experiments show that the integration of
quantization and truncation into deep-learning steganalyzers do boost the
detection performance by a clear margin. Furthermore, we demonstrate that our
framework is insensitive to JPEG blocking artifact alterations, and the learned
model can be easily transferred to a different attacking target and even a
different dataset. These properties are of critical importance in practical
applications.


title:
High-pressure study of the ground- and superconducting-state properties
  of CeAu$_2$Si$_2$

abstract:
  The pressure-temperature-phase diagram of the new heavy-fermion
superconductor CeAu$_2$Si$_2$ is markedly different from those studied
previously. Indeed, superconductivity emerges, not on the verge, but deep
inside the magnetic phase. In this context, we have carried out ac-calorimetry,
resistivity and thermoelectric power measurements on a CeAu$_2$Si$_2$-single
crystal under high-pressure. The principal novelties of this experiment are the
observation of a new transition line, presumably a magnetic structure
rearrangement at $T_{\mathrm{M}}^{\mathrm{mod}}$ inside the antiferromagnetic
phase, and the occurrence of quantum critical behavior in resistivity linked to
superconductivity. Strong non-Fermi-liquid behavior is observed around the
maximum of superconductivity and enhanced scattering rates are observed close
to both the emergence and the maximum of superconductivity. Intriguingly,
$T_{\mathrm{M}}^{\mathrm{mod}}$ almost coincides with the onset of the
superconducting transition over a broad pressure range, where mysteriously Tc
increases with the strengthening of magnetism. A comparison of the features in
CeAu$_2$Si$_2$ and its parent compounds CeCu$_2$Si$_2$ and CeCu$_2$Ge$_2$
plotted as function of the unit-cell volume leads us to promote that critical
fluctuations of a valence crossover play a crucial role in the superconducting
paring mechanism. Our study reveals new intriguing features of magnetism and
illustrates a complex interplay between magnetism, quantum criticality and
superconductivity.


title: On the Light Curves of AM CVn

abstract:
  Light curves of AM CVn are analyzed by decomposing them into their Fourier
components. The amplitudes of the fundamental mode and overtones of the three
components: the superhumps, the negative superhumps and the orbital variations,
are found to be variable. This implies that variations in the shape of the
observed light curve of AM CVn are not only due to the interference between
those components, but also due to the variability of their parameters.


title: The number of satisfying assignments of random regular k-SAT formulas

abstract:
  Let $\Phi$ be a random $k$-SAT formula in which every variable occurs
precisely $d$ times positively and $d$ times negatively. Assuming that $k$ is
sufficiently large and that $d$ is slightly below the critical degree where the
formula becomes unsatisfiable with high probability, we determine the limiting
distribution of the logarithm of the number of satisfying assignments.


title:
Competition in periodic media: II -- Segregative limit of pulsating
  fronts and "Unity is not Strength"-type result

abstract:
  This paper is concerned with the limit, as the interspecific competition rate
goes to infinity, of pulsating front solutions in space-periodic media for a
bistable two-species competition--diffusion Lotka--Volterra system. We
distinguish two important cases: null asymptotic speed and non-null as-ymptotic
speed. In the former case, we show the existence of a segregated stationary
equilibrium. In the latter case, we are able to uniquely characterize the
segregated pulsating front, and thus full convergence is proved. The segregated
pulsating front solves an interesting free boundary problem. We also
investigate the sign of the speed as a function of the parameters of the
competitive system. We are able to determine it in full generality, with
explicit conditions depending on the various parameters of the problem. In
particular, if one species is sufficiently more motile or competitive than the
other, then it is the invader. This is an extension of our previous work in
space-homogeneous media.


title: Interactive optomechanical coupling with nonlinear polaritonic systems

abstract:
  We study a system of interacting matter quasiparticles strongly coupled to
photons inside an optomechanical cavity. The resulting normal modes of the
system are represented by hybrid polaritonic quasiparticles, which acquire
effective nonlinearity. Its strength is influenced by the presence of the
mechanical mode and depends on the resonance frequency of the cavity. This
leads to an interactive type of optomechanical coupling, being distinct from
the previously studied dispersive and dissipative couplings in optomechanical
systems. The emergent interactive coupling is shown to generate effective
optical nonlinearity terms of high order, being quartic in the polariton
number. We consider particular systems of exciton-polaritons and dipolaritons,
and show that the induced effective optical nonlinearity due to the interactive
coupling can exceed in magnitude the strength of Kerr nonlinear terms, such as
those arising from polariton-polariton interactions. As applications, we show
that the higher order terms give rise to localized bright flat top solitons,
which may form spontaneously in polariton condensates.


title:
Distributional Mellin calculus in $\mathbb{C}^n$, with applications to
  option pricing

abstract:
  We discuss several aspects of Mellin transform, including distributional
Mellin transform and inversion of multiple Mellin-Barnes integrals in
$\mathbb{C}^n$ and its connection to residue expansion or evaluation of Laplace
integrals. These mathematical concepts are demonstrated on several
option-pricing models. This includes European option models such as
Black-Scholes or fractional-diffusion models, as well as evaluation of
quantities related to the optimal exercise price of American options.


title:
Naturally Small Dirac Neutrino Mass with Intermediate $SU(2)_{L}$
  Multiplet Fields

abstract:
  If neutrinos are Dirac fermions, certain new physics beyond the standard
model should exist to account for the smallness of neutrino mass. With two
additional scalars and a heavy intermediate fermion, in this paper, we
systematically study the general mechanism that can natrally generate the tiny
Dirac neutrino mass at tree and in one-loop level. For tree level models, we
focus on natural ones, in which the additional scalars develop small vacuum
expectation values without fine-tuning. For one-loop level models, we explore
those having dark matter candidates under $Z_2^D$ symmetry. In both cases, we
concentrate on $SU(2)_L$ multiplet scalars no larger than quintuplet, and
derive the complete sets of viable models. Phenomenologies, such as lepton
flavor violation, leptogenesis, and LHC signatures are briefly discussed.


title: A characterization of Tutte-Coxeter graph

abstract:
  We give a natural generalization of the Tutte-Coxeter graph in a natural way
and prove that the Tutte-Coxeter graph is the only vertex-transitive
(edge-transitive) graph among all generalized Tutte-Coxeter graphs.


title:
Correspondence between Solutions of Scattering Equations and Scattering
  Amplitudes in Four Dimensions

abstract:
  In this talk, we review our recent work on direct evaluation of tree-level
MHV amplitudes by Cachazo-He-Yuan (CHY) formula. We also investigate the
correspondence between solutions to scattering equations and amplitudes in four
dimensions along this line. By substituting the MHV solution of scattering
equations into the integrated CHY formula, we explicitly calculate the
tree-level MHV amplitudes for four dimensional Yang-Mills theory and gravity.
These results naturally reproduce the Parke-Taylor and Hodges formulas. In
addition, we derive a new compact formula for tree-level single-trace MHV
amplitudes in Einstein-Yang-Mills theory, which is equivalent to the known
Selivanov-Bern-De Freitas-Wong (SBDW) formula. Other solutions do not
contribute to the MHV amplitudes in Yang-Mills theory, gravity and
Einstein-Yang-Mills theory. We further investigate the correspondence between
solutions of scattering equation and helicity configurations beyond MHV and
proposed a method for characterizing solutions of scattering equations.


title: Unifying Suspension and Granular flows near Jamming

abstract:
  Rheological properties of dense flows of hard particles are singular as one
approaches the jamming threshold where flow ceases, both for granular flows
dominated by inertia, and for over-damped suspensions. Concomitantly, the
lengthscale characterizing velocity correlations appears to diverge at jamming.
Here we review a theoretical framework that gives a scaling description of
stationary flows of frictionless particles. Our analysis applies both to
suspensions and inertial flows of hard particles. We report numerical results
in support of the theory, and show the phase diagram that results when friction
is added, delineating the regime of validity of the frictionless theory.


title:
A $\overrightarrow{P_{3}}$-decomposition of tournaments and bipartite
  digraphs

abstract:
  A $\overrightarrow{P_{3}}$-decomposition of a directed graph $D$ is a
partition of the arcs of $D$ into directed paths of length $2$. In this paper,
we give a characterization for a tournament and a bipartite digraph admitting a
$\overrightarrow{P_{3}}$-decomposition. This solves a problem posed by Diwan
($\overrightarrow{P_{3}}$-decomposition of directed graphs, Discrete Appl.
Math., http:// dx.doi.org/10.1016/j.dam.2016.01.039.).


title: On-Chip Single-Photon Sifter

abstract:
  Quantum states of light play a pivotal role in modern science[1] and future
photonic applications[2]. While impressive progress has been made in their
generation and manipulation with high fidelities, the common table-top approach
is reaching its limits for practical quantum applications. Since the advent of
integrated quantum nanophotonics[3] different material platforms based on III-V
nanostructures-, color centers-, and nonlinear waveguides[4-8] as on-chip light
sources have been investigated. Each platform has unique advantages and
limitations in terms of source properties, optical circuit complexity, and
scaling potentials. However, all implementations face major challenges with
efficient and tunable filtering of individual quantum states[4], scalable
integration and deterministic multiplexing of on-demand selected quantum
emitters[9], and on-chip excitation-suppression[10]. Here we overcome all of
these challenges with a novel hybrid and scalable nanofabrication approach to
generate quantum light on-chip, where selected single III-V quantum emitters
are positioned and deterministically integrated in a CMOS compatible
circuit[11] with controlled on-chip filtering and
excitation-suppression.Furthermore, we demonstrate novel on-chip quantum
wavelength division multiplexing, showing tunable routing of single-photons.
Our reconfigurable quantum photonic circuits with a foot print one million
times smaller than similar table-top approaches, offering outstanding
excitation suppression of more than 95 dB and efficient routing of single
photons over a bandwidth of 40 nm, are essential to unleash integrated quantum
optical technologies full potential.


title: Nonlocal phase transitions: rigidity results and anisotropic geometry

abstract:
  We provide a series of rigidity results for a nonlocal phase transition
equation. The prototype equation that we consider is of the form $$
(-\Delta)^{s/2} u=u-u^3,$$ with~$s\in(0,1)$. More generally, we can take into
account equations like $$ L u = f(u),$$ where $f$ is a bistable nonlinearity
and $L$ is an integro-differential operator, possibly of anisotropic type.
  The results that we obtain are an improvement of flatness theorem and a
series of theorems concerning the one-dimensional symmetry for monotone and
minimal solutions, in the research line dictaded by a classical conjecture of
E. De Giorgi.
  Here, we collect a series of pivotal results, of geometric type, which are
exploited in the proofs of the main results in the companion paper.


title: Statistical mechanics of stochastic growth phenomena

abstract:
  We develop statistical mechanics for stochastic growth processes as applied
to Laplacian growth by using its remarkable connection with a random matrix
theory. The Laplacian growth equation is obtained from the variation principle
and describes adiabatic (quasi-static) thermodynamic processes in the
two-dimensional Dyson gas. By using Einstein's theory of thermodynamic
fluctuations we consider transitional probabilities between thermodynamic
states, which are in a one-to-one correspondence with planar domains.
Transitions between these domains are described by the stochastic Laplacian
growth equation, while the transitional probabilities coincide with the
free-particle propagator on the infinite dimensional complex manifold with the
K\"ahler metric.


title: Affine lines in the complement of a smooth plane conic

abstract:
  We classify closed curves isomorphic to the affine line in the complement of
a smooth rational projective plane conic Q. Over a field of characteristic
zero, we show that up to the action of the subgroup of the Cremona group of the
plane consisting of birational endomorphisms restricting to biregular
auto-morphisms outside Q, there are exactly two such lines: the restriction of
a smooth conic osculating Q at a rational point and the restriction of the
tangent line to Q at a rational point. In contrast, we give examples
illustrating the fact that over fields of positive characteristic, there exist
exotic closed embeddings of the affine line in the complement of Q. We also
determine an explicit set of birational endomorphisms of the plane whose
restrictions generates the automorphism group of the complement of Q over a
field of arbitrary characteristic.