title:
Discovery of a Supercluster at $z\sim$0.91 and Testing the $\Lambda$CDM
  Cosmological Model

abstract:
  The $\Lambda$CDM cosmological model successfully reproduces many aspects of
the galaxy and structure formation of the universe. However, the growth of
large-scale structures (LSSs) in the early universe is not well tested yet with
observational data. Here, we have utilized wide and deep optical--near-infrared
data in order to search for distant galaxy clusters and superclusters
($0.8<z<1.2$). From the spectroscopic observation with the Inamori Magellan
Areal Camera and Spectrograph (IMACS) on the Magellan telescope, three massive
clusters at $z\sim$0.91 are confirmed in the SSA22 field. Interestingly, all of
them have similar redshifts within $\Delta z\sim$0.01 with velocity dispersions
ranging from 470 to 1300 km s$^{-1}$. Moreover, as the maximum separation is
$\sim$15 Mpc, they compose a supercluster at $z\sim$0.91, meaning that this is
one of the most massive superclusters at this redshift to date. The galaxy
density map implies that the confirmed clusters are embedded in a larger
structure stretching over $\sim$100 Mpc. $\Lambda$CDM models predict about one
supercluster like this in our surveyed volume, consistent with our finding so
far. However, there are more supercluster candidates in this field, suggesting
that additional studies are required to determine if the $\Lambda$CDM
cosmological model can successfully reproduce the LSSs at high redshift.


title:
Remark on Structure of Expectation Values of Flavor-Lepton Numbers with
  respect to Neutrino-Source Hadron States: Deviation from Fermi's Golden
  Relatio

abstract:
  In our preceeding reports, we have pointed out that a unified description of
weak decays accompanying neutrinos and the oscillation process is obtained on
the basis of the expectation values of flavor-neutrino numbers with respect to
the neutrino-source hadron state. In the present report, we investigate the
effect on the expectation values due to the deviation from Fermi's golden
relation, and give concrete features of these deviations in the case of $\pi^+$
and $K^+$-decays under the simple situation with the $3$-momentum $\vec{p_A}=0$
for $A=\pi^+$, $K^+$. %numerical results under simple situations.


title:
Spectroscopic study and astronomical detection of doubly 13C-substituted
  ethyl cyanide

abstract:
  We have performed a spectral line survey called EMoCA toward Sagittarius
B2(N) between 84 and 114 GHz with ALMA. Line intensities of the main isotopic
species of ethyl cyanide and its singly 13C-substituted isotopomers observed
toward the hot molecular core Sgr B2(N2) suggest that the doubly
13C-substituted isotopomers should be detectable also. We want to determine the
spectroscopic parameters of all three doubly 13C-substituted isotopologues of
ethyl cyanide to search for them in our ALMA data. We investigated the
laboratory rotational spectra of the three species between 150 and 990 GHz. We
searched for emission lines produced by these species in the ALMA spectrum of
Sgr B2(N2). We modeled their emission as well as the emission of the 12C and
singly 13C-substituted isotopologues assuming local thermodynamic equilibrium.
We identified more than 5000 rotational transitions, pertaining to more than
3500 different transition frequencies, in the laboratory for each of the three
isotopomers. The quantum numbers reach J ~ 115 and K_a ~ 35, resulting in
accurate spectroscopic parameters and accurate rest frequency calculations
beyond 1000 GHz for strong to moderately weak transitions of either isotopomer.
All three species are unambiguously detected in our ALMA data. The 12C/13C
column density ratio of the isotopomers with one 13C atom to the ones with two
13C atoms is about 25. Ethyl cyanide is the second molecule after methyl
cyanide for which isotopologues containing two 13C atoms have been securely
detected in the interstellar medium. The model of our ethyl cyanide data
suggests that we should be able to detect vibrational satellites of the main
species up to at least v_19 = 1 at 1130 K and up to v_13 + v_21 = 2 at 600 K
for the isotopologues with one 13C atom in our present ALMA data. Such
satellites may be too weak to be identified unambiguously for isotopologues
with two 13C atoms.


title:
Unified Convergence Analysis of Stochastic Momentum Methods for Convex
  and Non-convex Optimization

abstract:
  Recently, {\it stochastic momentum} methods have been widely adopted in
training deep neural networks. However, their convergence analysis is still
underexplored at the moment, in particular for non-convex optimization. This
paper fills the gap between practice and theory by developing a basic
convergence analysis of two stochastic momentum methods, namely stochastic
heavy-ball method and the stochastic variant of Nesterov's accelerated gradient
method. We hope that the basic convergence results developed in this paper can
serve the reference to the convergence of stochastic momentum methods and also
serve the baselines for comparison in future development of stochastic momentum
methods. The novelty of convergence analysis presented in this paper is a
unified framework, revealing more insights about the similarities and
differences between different stochastic momentum methods and stochastic
gradient method. The unified framework exhibits a continuous change from the
gradient method to Nesterov's accelerated gradient method and finally the
heavy-ball method incurred by a free parameter, which can help explain a
similar change observed in the testing error convergence behavior for deep
learning. Furthermore, our empirical results for optimizing deep neural
networks demonstrate that the stochastic variant of Nesterov's accelerated
gradient method achieves a good tradeoff (between speed of convergence in
training error and robustness of convergence in testing error) among the three
stochastic methods.


title:
Topology and morphology influences on the onset of ductile failure in a
  two-phase microstructure

abstract:
  Multi-phase material are frequently applied in a wide variety of products, as
they posses a unique set of properties by combining two or more distinct phases
at the level of the microstructure. Although the macroscopic stiffness and
hardening are reasonably well understood, questions remain about the dominant
failure mechanism(s). We identify the role of the microstructural topology (the
distribution of phases) on damage "hot-spot" in the microstructure, by
performing a numerical study on a large set of randomly generated topologies.
The result identifies a distinct probability distribution of phases around a
typical damage "hot-spot". This work is focused on assessing the sensitivity of
the result to the assumptions made on the microstructural geometry.


title: From the K\"ahler-Ricci flow to moving free boundaries and shocks

abstract:
  We show that the twisted K\"ahler-Ricci flow on a complex manifold X
converges to a flow of moving free boundaries, in a certain scaling limit. This
leads to a new phenomenon of singularity formation and topology change which
can be seen as a complex generalization of the extensively studied formation of
shocks in Hamilton-Jacobi equations and hyperbolic conservation laws (notably,
in the adhesion model in cosmology). In particular we show how to recover the
Hele-Shaw flow (Laplacian growth) of growing 2D domains from the Ricci flow. As
we briefly indicate the scaling limit in question arises as the
zero-temperature limit of a certain many particle system on X.


title:
The New Primary X-ray Component Confirmed in the Seyfert I Galaxy
  IC4329A

abstract:
  The bright and highly-variable Seyfert I Active Galactic Nucleus, IC4329A,
was observed with Suzaku 5 times in 2007 August with intervals of ~ 5 days, and
a net exposure of 24-31 ks each. Another longer observation was carried out in
2012 August with a net exposure of 118 ks. In the 6 observations, the source
was detected in 2-45 keV with average 2-10 keV fluxes of
$(0.67-1.2)\times10^{-10}$ erg cm$^{-2}$ s$^{-1}$. The intensity changed by a
factor of 2 among the 5 observations in 2007, and 1.5 within the 2012
observation. Difference spectra among these observations revealed that the
variability of IC4329A was carried mainly by a power-law component with a
photon index $\Gamma\sim2.0$. However, in addition to this primary component
and the associated reflection, the broad-band Suzaku data required another,
harder, and less variable component with $\Gamma\sim1.4$. The presence of this
new continuum was also confirmed by analyzing the same 6 data sets through the
spectral decomposition technique developed by Noda et al. 2013a. This
$\Gamma\sim1.4$ continuum is considered to be a new primary component that has
not been recognized in the spectra of IC4329A so far, although it was recently
identified in those of several other Seyfert I galaxies (Noda et al. 2013a,
2014).


title:
Estimation of the Shear Viscosity from 3FD Simulations of Au+Au
  Collisions at $\sqrt{s_{NN}}=$ 3.3--39 GeV

abstract:
  An effective shear viscosity in central Au+Au collisions is estimated in the
range of incident energies 3.3 GeV $\le \sqrt{s_{NN}}\le$ 39 GeV. The
simulations are performed within a three-fluid model employing three different
equations of state with and without the deconfinement transition. In order to
estimate this effective viscosity, we consider the entropy produced in the 3FD
simulations as if it is generated within the conventional one-fluid viscous
hydrodynamics. It is found that the effective viscosity within different
considered scenarios is very similar at the expansion stage of the collision:
as a function of temperature ($T$) the viscosity-to-entropy ratio behaves as
$\eta/s \sim 1/T^4$; as a function of net-baryon density ($n_B$), $\eta/s \sim
1/s$, i.e. it is mainly determined by the density dependence of the entropy
density. The above dependencies take place along the dynamical trajectories of
Au+Au collisions. At the final stages of the expansion the $\eta/s$ values are
ranged from $\sim$0.05 at highest considered energies to $\sim$0.5 at the
lowest ones.


title:
New Superconducting Phase of
  Li$_x$(C$_6$H$_{16}$N$_2$)$_y$Fe$_{2-z}$Se$_2$ with $T_\textrm{c}$ = 41 K
  Obtained through the Post-Annealing

abstract:
  Post-annealing effects on the crystal structure and superconductivity of the
lithium- and hexamethylenediamine (HMDA)-intercalated superconductor
Lix(C6H16N2)yFe2-zSe2 have been investigated. Through the post-annealing, a
two-step reduction of the interlayer spacing between neighboring Fe layers, d,
has been observed. It has been found that a new phase of Lix(C6H16N2)yFe2-zSe2
with d= 10.30(2) {\AA} and Tc = 41 K different from the as-intercalated phase
is stabilized owing to the possible stable inclination of HMDA intercalated
between FeSe layers. This result supports the domic relation between Tc and d
in the FeSe-based intercalation superconductors. The reason why Tc increases
with a decrease in d through the post-annealing is discussed.


title:
Geometric model of black hole quantum $N$-portrait, extradimensions and
  thermodynamics

abstract:
  Recently a short scale modified black hole metric, known as holographic
metric, has been proposed in order to capture the self-complete character of
gravity. In this paper we show that such a metric can reproduce some geometric
features expected from the quantum $N$-portrait beyond the semi-classical
limit. We show that for a generic $N$ this corresponds to having an effective
energy momentum tensor in Einstein equations or, equivalently, non-local terms
in the gravity action. We also consider the higher dimensional extension of the
metric and the case of an AdS cosmological term. We provide a detailed
thermodynamic analysis of both cases, with particular reference to the
repercussions on the Hawking-Page phase transition.


title:
On the Asymptotic Growth of Positive Solutions to a Nonlocal Elliptic
  Blow-up System Involving Strong Competition

abstract:
  For a competition-diffusion blow-up system involving the fractional Laplacian
of the form \begin{equation*}\label{syst1}
-(-\Delta)^su=uv^2,\quad-(-\Delta)^sv=vu^2,\quad u,v>0 \ \mathrm{in} \
\mathbb{R}^N, \end{equation*} whith $s\in(0,1)$, we prove that the maximal
asymptotic growth rate for its entire solutions is $2s$. Moreover, since we are
able to construct symmetric solutions to the problem, when $N=2$ with
prescribed growth arbitrarily close to the critical one, we can conclude that
the asymptotic bound found is optimal. Finally, we prove existence of genuinely
higher dimensional solutions, when $N\geq 3$.


title: Volumetric and Multi-View CNNs for Object Classification on 3D Data

abstract:
  3D shape models are becoming widely available and easier to capture, making
available 3D information crucial for progress in object classification. Current
state-of-the-art methods rely on CNNs to address this problem. Recently, we
witness two types of CNNs being developed: CNNs based upon volumetric
representations versus CNNs based upon multi-view representations. Empirical
results from these two types of CNNs exhibit a large gap, indicating that
existing volumetric CNN architectures and approaches are unable to fully
exploit the power of 3D representations. In this paper, we aim to improve both
volumetric CNNs and multi-view CNNs according to extensive analysis of existing
approaches. To this end, we introduce two distinct network architectures of
volumetric CNNs. In addition, we examine multi-view CNNs, where we introduce
multi-resolution filtering in 3D. Overall, we are able to outperform current
state-of-the-art methods for both volumetric CNNs and multi-view CNNs. We
provide extensive experiments designed to evaluate underlying design choices,
thus providing a better understanding of the space of methods available for
object classification on 3D data.


title:
Online Learning of Portfolio Ensembles with Sector Exposure
  Regularization

abstract:
  We consider online learning of ensembles of portfolio selection algorithms
and aim to regularize risk by encouraging diversification with respect to a
predefined risk-driven grouping of stocks. Our procedure uses online convex
optimization to control capital allocation to underlying investment algorithms
while encouraging non-sparsity over the given grouping. We prove a logarithmic
regret for this procedure with respect to the best-in-hindsight ensemble. We
applied the procedure with known mean-reversion portfolio selection algorithms
using the standard GICS industry sector grouping. Empirical Experimental
results showed an impressive percentage increase of risk-adjusted return
(Sharpe ratio).


title:
Relative Coobservability in Decentralized Supervisory Control of
  Discrete-Event Systems

abstract:
  We study the new concept of relative coobservability in decentralized
supervisory control of discrete-event systems under partial observation. This
extends our previous work on relative observability from a centralized setup to
a decentralized one. A fundamental concept in decentralized supervisory control
is coobservability (and its several variations); this property is not, however,
closed under set union, and hence there generally does not exist the supremal
element. Our proposed relative coobservability, although stronger than
coobservability, is algebraically well-behaved, and the supremal relatively
coobservable sublanguage of a given language exists. We present an algorithm to
compute this supremal sublanguage. Moreover, relative coobservability is weaker
than conormality, which is also closed under set union; unlike conormality,
relative coobservability imposes no constraint on disabling unobservable
controllable events.


title: Zaks' conjecture on rings with semi-regular proper homomorphic images

abstract:
  In this paper, we prove an extension of Zaks' conjecture on integral domains
with semi-regular proper homomorphic images (with respect to finitely generated
ideals) to arbitrary rings (i.e., possibly with zero-divisors). The main result
extends and recovers Levy's related result on Noetherian rings and Matlis'
related result on Prufer domains. It also globalizes Couchot's related result
on chained rings. New examples of rings with semi-regular proper homomorphic
images stem from the main result via trivial ring extensions.


title:
On the connection between cherry-tree copulas and truncated R-vine
  copulas

abstract:
  Vine copulas are a flexible way for modeling dependences using only
pair-copulas as building blocks. However if the number of variables grows the
problem gets fast intractable. For dealing with this problem Brechmann at al.
proposed the truncated R-vine copulas. The truncated R-vine copula has the very
useful property that it can be constructed by using only pair-wise copulas, and
conditional pair-wise copulas. In our earlier papers we introduced the concept
of cherry-tree copulas. In this paper we characterize the relation between the
cherry-tree copulas and the truncated R-vine copulas. Both are based on
exploiting of some conditional independences between the variables. We give a
necessary and sufficient condition for a cherry-tree copula to be a truncated
R-vine copula. We introduce a new perspective for truncated R-vine modeling.
The new idea is finding first a good fitting cherry-tree copula of order $k$.
Then, if this is also a truncated R-vine copula we apply the Backward Algorithm
introduced in this paper. This way the construction of a sequence of trees
which leads to it becomes possible. So the cherry-tree copula can be expressed
by pair-copulas and conditional pair-copulas. In the case when the fitted $k$
order cherry-tree copula is not a truncated R-vine copula we give an algorithm
to transform it into truncated R-vine copula at level $k+1$. Therefore this
cherry-tree copula can also be expressed by pair-copulas.


title:
Connected reversible Mealy automata of prime size cannot generate
  infinite Burnside groups

abstract:
  The simplest example of an infinite Burnside group arises in the class of
automaton groups. However there is no known example of such a group generated
by a reversible Mealy automaton. It has been proved that, for a connected
automaton of size at most~3, or when the automaton is not bireversible, the
generated group cannot be Burnside infinite. In this paper, we extend these
results to automata with bigger stateset, proving that, if a connected
reversible automaton has a prime number of states, it cannot generate an
infinite Burnside group.


title:
Interaction-driven Band-insulator--to--Metal transition in bilayer ionic
  Hubbard model

abstract:
  The interaction-driven insulator-to-metal transition has been reported in the
ionic Hubbard model (IHM) for moderate interaction $U$, while its metallic
phase only occupies a narrow region in the phase diagram. To explore the
enlargement of the metallic regime, we extend the ionic Hubbard model to two
coupled layers and study the interplay of interlayer hybridization $V$ and two
types of intralayer staggered potentials $\Delta$: one with the same (in-phase)
and the other with a $\pi$-phase shift (anti-phase) potential between layers.
Our determinant Quantum Monte Carlo (DQMC) simulations at lowest accessible
temperatures demonstrate that the interaction-driven metallic phase between
Mott and band insulators expands in the $\Delta-V$ phase diagram of bilayer IHM
only for in-phase ionic potentials; while anti-phase potential always induces
an insulator with charge density order. This implies possible further extension
of the ionic Hubbard model from the bilayer case here to realistic
three-dimensional model.


title:
The effect of inserted NiO layer on spin-Hall magnetoresistance in
  Pt/NiO/YIG heterostructures

abstract:
  We investigate the spin-current transport through antiferromagnetic insulator
(AFMI) by means of the spin-Hall magnetoressitance (SMR) over a wide
temperature range in Pt/NiO/Y$_3$Fe$_5$O$_{12}$ (Pt/NiO/YIG) heterostructures.
By inserting the AFMI NiO layer, the SMR dramatically decreases by decreasing
the temperature down to the antiferromagnetically ordered state of NiO, which
implies that the AFM order prevents rather than promotes the spin-current
transport. On the other hand, the magnetic proximity effect (MPE) on induced Pt
moments by YIG, which entangles with the spin-Hall effect (SHE) in Pt, can be
efficiently screened, and pure SMR can be derived by insertion of NiO. The dual
roles of the NiO insertion including efficiently blocking the MPE and
transporting the spin current from Pt to YIG are outstanding compared with
other antiferromagnetic (AFM) metal or nonmagnetic metal (NM).


title:
Spectral calibration requirements of radio interferometers for Epoch of
  Reionisation science with the SKA

abstract:
  Spectral features introduced by instrumental chromaticity of radio
interferometers have the potential to negatively impact the ability to perform
Epoch of Reionisation (EoR) and Cosmic Dawn (CD) science using the redshifted
neutral hydrogen emission line from the early Universe. We describe instrument
calibration choices that influence the spectral characteristics of the science
data, and assess their impact on EoR statistical and tomographic experiments.
Principally, we consider the intrinsic spectral response of the receiving
antennas, embedded within a complete frequency-dependent primary beam response,
and frequency-dependent instrument sampling. We assess different options for
bandpass calibration. The analysis is applied to the proposed SKA1-Low EoR/CD
experiments. We provide tolerances on the smoothness of the SKA station primary
beam bandpass, to meet the scientific goals of statistical and tomographic
(imaging) EoR programs. Two calibration strategies are tested: (1) fitting of
each fine channel independently, and (2) fitting of an nth-order polynomial for
each ~1~MHz coarse channel with (n+1)th-order residuals (n=2,3,4). Strategy (1)
leads to uncorrelated power in the 2D power spectrum proportional to the
thermal noise power, thereby reducing the overall array sensitivity. Strategy
(2) leads to correlated residuals from the fitting, and residual signal power
with (n+1)th-order curvature. For the residual power to be less than the
thermal noise, the fractional amplitude of a fourth-order term in the bandpass
across a single coarse channel must be <2.5% (50~MHz), <0.5% (150~MHz), <0.8%
(200~MHz). The tomographic experiment places stringent constraints on phase
residuals in the bandpass. We find that the root-mean-square variability over
all stations of the change in phase across any fine channel (4.578~kHz) should
not exceed 0.2 degrees.


title: Antiferromagnetic Phases of the Kondo Lattice

abstract:
  We discuss the paramagnetic and Neel-ordered phases of the Kondo lattice
Hamiltonian on the 2D square lattice by means of bond Fermions. In the doped
case we find two antiferromagnetic solutions, the first one with small ordered
moment, heavy bands, and an antiferromagetically folded large Fermi surface -
i.e. including the localized spins - the second one with large ordered moment,
light bands and an antiferromagnetically folded conduction electron-only Fermi
surface. The zero temperature phase diagram as a function of Kondo coupling and
conduction electron density shows first and second order transition lines
between the three different phases and agrees qualitatively with previous
numerical studies. We compare to experiments on CeRh(1-x)Co(x)In(5) and find
qualitative agreement.


title: Discretized Lavrent' ev regularization for the autoconvolution equation

abstract:
  Lavrent'ev regularization for the autoconvolution equation was considered by
J. Janno in {\itshape Lavrent'ev regularization of ill-posed problems
containing nonlinear near-to-monotone operators with application to
autoconvolution equation}, Inverse Problems, 16(2):333--348, 2000. Here this
study is extended by considering discretization of the Lavrent'ev scheme by
splines. It is shown how to maintain the known convergence rate by an
appropriate choice of spline spaces and a proper choice of the discretization
level. For piece-wise constant splines the discretized equation allows for an
explicit solver, in contrast to using higher order splines. This is used to
design a fast implementation by means of post-smoothing, which provides
results, which are indistinguishable from results obtained by direct
discretization using cubic splines.


title:
Noise Robust Speech Recognition Using Multi-Channel Based Channel
  Selection And ChannelWeighting

abstract:
  In this paper, we study several microphone channel selection and weighting
methods for robust automatic speech recognition (ASR) in noisy conditions. For
channel selection, we investigate two methods based on the maximum likelihood
(ML) criterion and minimum autoencoder reconstruction criterion, respectively.
For channel weighting, we produce enhanced log Mel filterbank coefficients as a
weighted sum of the coefficients of all channels. The weights of the channels
are estimated by using the ML criterion with constraints. We evaluate the
proposed methods on the CHiME-3 noisy ASR task. Experiments show that channel
weighting significantly outperforms channel selection due to its higher
flexibility. Furthermore, on real test data in which different channels have
different gains of the target signal, the channel weighting method performs
equally well or better than the MVDR beamforming, despite the fact that the
channel weighting does not make use of the phase delay information which is
normally used in beamforming.


title: The Right Mutation Strength for Multi-Valued Decision Variables

abstract:
  The most common representation in evolutionary computation are bit strings.
This is ideal to model binary decision variables, but less useful for variables
taking more values. With very little theoretical work existing on how to use
evolutionary algorithms for such optimization problems, we study the run time
of simple evolutionary algorithms on some OneMax-like functions defined over
$\Omega = \{0, 1, \dots, r-1\}^n$. More precisely, we regard a variety of
problem classes requesting the component-wise minimization of the distance to
an unknown target vector $z \in \Omega$. For such problems we see a crucial
difference in how we extend the standard-bit mutation operator to these
multi-valued domains. While it is natural to select each position of the
solution vector to be changed independently with probability $1/n$, there are
various ways to then change such a position. If we change each selected
position to a random value different from the original one, we obtain an
expected run time of $\Theta(nr \log n)$. If we change each selected position
by either $+1$ or $-1$ (random choice), the optimization time reduces to
$\Theta(nr + n\log n)$. If we use a random mutation strength $i \in
\{0,1,\ldots,r-1\}^n$ with probability inversely proportional to $i$ and change
the selected position by either $+i$ or $-i$ (random choice), then the
optimization time becomes $\Theta(n \log(r)(\log(n)+\log(r)))$, bringing down
the dependence on $r$ from linear to polylogarithmic. One of our results
depends on a new variant of the lower bounding multiplicative drift theorem.


title:
Confidence Decision Trees via Online and Active Learning for Streaming
  (BIG) Data

abstract:
  Decision tree classifiers are a widely used tool in data stream mining. The
use of confidence intervals to estimate the gain associated with each split
leads to very effective methods, like the popular Hoeffding tree algorithm.
From a statistical viewpoint, the analysis of decision tree classifiers in a
streaming setting requires knowing when enough new information has been
collected to justify splitting a leaf. Although some of the issues in the
statistical analysis of Hoeffding trees have been already clarified, a general
and rigorous study of confidence intervals for splitting criteria is missing.
We fill this gap by deriving accurate confidence intervals to estimate the
splitting gain in decision tree learning with respect to three criteria:
entropy, Gini index, and a third index proposed by Kearns and Mansour. Our
confidence intervals depend in a more detailed way on the tree parameters. We
also extend our confidence analysis to a selective sampling setting, in which
the decision tree learner adaptively decides which labels to query in the
stream. We furnish theoretical guarantee bounding the probability that the
classification is non-optimal learning the decision tree via our selective
sampling strategy. Experiments on real and synthetic data in a streaming
setting show that our trees are indeed more accurate than trees with the same
number of leaves generated by other techniques and our active learning module
permits to save labeling cost. In addition, comparing our labeling strategy
with recent methods, we show that our approach is more robust and consistent
respect all the other techniques applied to incremental decision trees.


title: On the stability of first order PDEs associated to vector fields

abstract:
  Let $M$ be a manifold, $V$ be a vector field on $M$, and $B$ be a Banach
space. For any fixed function $f:M\rightarrow B$ and any fixed complex number
$\lambda$, we study Hyers-Ulam stability of the global differential equation
$Vy=\lambda y+f$.


title:
Optimal Content Placement for Offloading in Cache-enabled Heterogeneous
  Wireless Networks

abstract:
  Caching at base stations (BSs) is a promising way to offload traffic and
eliminate backhaul bottleneck in heterogeneous networks (HetNets). In this
paper, we investigate the optimal content placement maximizing the successful
offloading probability in a cache-enabled HetNet where a tier of multi-antenna
macro BSs (MBSs) is overlaid with a tier of helpers with caches. Based on
probabilistic caching framework, we resort to stochastic geometry theory to
derive the closed-form successful offloading probability and formulate the
caching probability optimization problem, which is not concave in general. In
two extreme cases with high and low user-to-helper density ratios, we obtain
the optimal caching probability and analyze the impacts of BS density and
transmit power of the two tiers and the signal-to-interference-plus-noise ratio
(SINR) threshold. In general case, we obtain the optimal caching probability
that maximizes the lower bound of successful offloading probability and analyze
the impact of user density. Simulation and numerical results show that when the
ratios of MBS-to-helper density, MBS-to-helper transmit power and
user-to-helper density, and the SINR threshold are large, the optimal caching
policy tends to cache the most popular files everywhere.


title:
Toward the computational prediction of muon sites and interaction
  parameters

abstract:
  The rapid developments of computational quantum chemistry methods and
supercomputing facilities motivate the renewed interest in the analysis of the
muon/electron interactions in $\mu$SR experiments with \emph{ab initio}
approaches. Modern simulation methods seem to be able to provide the answers to
the frequently asked questions of many $\mu$SR experiments: where is the muon?
Is it a passive probe? What are the interaction parameters governing the
muon-sample interaction? In this review we describe some of the approaches used
to provide quantitative estimations of the aforementioned quantities and we
provide the reader with a short discussion on the current developments in this
field.


title: Exact algebraic separability criterion for two-qubit systems

abstract:
  A conceptually simpler proof of the separability criterion for two-qubit
systems, which is referred to as "Hefei inequality" in literature, is
presented. This inequality gives a necessary and sufficient separability
criterion for any mixed two-qubit system unlike the Bell-CHSH inequality that
cannot test the mixed-states such as the Werner state when regarded as a
separability criterion. The original derivation of this inequality emphasized
the uncertainty relation of complementary observables, but we show that the
uncertainty relation does not play any role in the actual derivation and the
Peres-Hodrodecki condition is solely responsible for the inequality. Our
derivation, which contains technically novel aspects such as an analogy to the
Dirac equation, sheds light on this inequality and on the fundamental issue to
what extent the uncertainty relation can provide a test of entanglement. This
separability criterion is illustrated for an exact treatment of the Werner
state.


title: Spin Polarized Transport in Core Shell Nanowire of Silicon and Germanium

abstract:
  We investigate spin polarized electron transport in ultra-thin
Si-Core/Ge-Shell and Ge-Core/Si-Shell nanowire system using semi-classical
Monte Carlo simulation method. Depolarization of electron's spin occurs in
nanowire mainly due to D'yakonov-Perel dephasing (DP-mechanism) and
Elliott-Yafet dephasing (EY-mechanism). We studied the dependence of spin
dephasing on ultra-thin silicon core diameter in Si-Core/Ge-Shell nanowire and
germanium core diameter in Ge-Core/Si-Shell nanowire. Variation in spin
dephasing length with varying core diameter ranging from 1 nm to 9 nm indicate
that spin dephasing length increases with increase in Si-core diameter in
Si-Core/Ge-Shell nanowire and spin dephasing length decreases with increase in
Ge-core diameter in Ge-Core/Si-Shell nanowire. We then studied the variation in
spin dephasing length with varying externally applied transverse electric field
ranging from 20 kV/cm to100 kV/cm. In the electric field dependence study we
found that spin dephasing length is weakly dependent upon applied electric
field. In the end, we studied the variation in spin dephasing length with
varying temperature in the range of 4 K to 377 K. In this simulational study we
found that for both Si-Core/Ge-Shell and Ge-Core/Si-Shell nanowire system spin
dephasing length shows a strong dependence on temperature and spin dephasing
length increases with decrease in temperature from room temperature range.


title: Confinement of a hot temperature patch in the modified SQG model

abstract:
  In this paper we study the time evolution of a temperature patch in $R^2$
according to the modified Surface Quasi-Geostrophic Equation (SQG) patch
equation. In particular we give a temporal estimate on the growth of the
support, providing a rigorous proof of the confinement of a hot patch of
temperature in absence of external forcing, under the quasi-geostrophic
approximation.


title:
Lepton flavor violating decay of SM-like Higgs in a radiative neutrino
  mass model

abstract:
  The lepton flavor violating decay of the Standard Model-like Higgs (LFVHD) is
discussed in the framework of the radiative neutrino mass model built in
\cite{Kenji}. The branching ratio (BR) of the LFVHD are shown to reach
$10^{-5}$ in the most interesting region of the parameter space shown in
\cite{Kenji}. The dominant contributions come from the singly charged Higgs
mediations, namely the coupling of $h^\pm_2$ with exotic neutrinos.
Furthermore, if doubly charged Higgs is heavy enough to allow the mass of
$h^\pm_2$ around 1 TeV, the mentioned BR can reach $10^{-4}$. Besides, we have
obtained that the large values of the Br$(h\rightarrow\mu\tau)$ leads to very
small ones of the Br$(h\rightarrow e\tau)$, much smaller than various
sensitivity of current experiments.


title:
Scan, Attend and Read: End-to-End Handwritten Paragraph Recognition with
  MDLSTM Attention

abstract:
  We present an attention-based model for end-to-end handwriting recognition.
Our system does not require any segmentation of the input paragraph. The model
is inspired by the differentiable attention models presented recently for
speech recognition, image captioning or translation. The main difference is the
covert and overt attention, implemented as a multi-dimensional LSTM network.
Our principal contribution towards handwriting recognition lies in the
automatic transcription without a prior segmentation into lines, which was
crucial in previous approaches. To the best of our knowledge this is the first
successful attempt of end-to-end multi-line handwriting recognition. We carried
out experiments on the well-known IAM Database. The results are encouraging and
bring hope to perform full paragraph transcription in the near future.


title: Fundamental group functors in descent-exact homological categories

abstract:
  We study the notion of fundamental group in the framework of descent-exact
homological categories. This setting is sufficiently wide to include several
categories of "algebraic" nature such as the almost abelian categories, the
semi-abelian categories, and the categories of topological semi-abelian
algebras. For many adjunctions in this context, the fundamental groups are
described by generalised Brown-Ellis-Hopf formulae for the integral homology of
groups.


title: Top degree part in $b$-conjecture for unicellular bipartite maps

abstract:
  Goulden and Jackson (1996) introduced, using Jack symmetric functions, some
multivariate generating series $\psi(x, y, z; 1, 1+\beta)$ with an additional
parameter $\beta$ that may be interpreted as a continuous deformation of the
rooted bipartite maps generating series. Indeed, it has the property that for
$\beta \in \{0,1\}$, it specializes to the rooted, orientable (general, i.e.
orientable or not, respectively) bipartite maps generating series. They made
the following conjecture: coefficients of $\psi$ are polynomials in $\beta$
with positive integer coefficients that can be written as a multivariate
generating series of rooted, general bipartite maps, where the exponent of
$\beta$ is an integer-valued statistic that in some sense "measures the
non-orientability" of the corresponding bipartite map.
  We show that except for two special values of $\beta = 0,1$ for which the
combinatorial interpretation of the coefficients of $\psi$ is known, there
exists a third special value $\beta = -1$ for which the coefficients of $\psi$
indexed by two partitions $\mu,\nu$, and one partition with only one part are
given by rooted, orientable bipartite maps with arbitrary face degrees and
black/white vertex degrees given by $\mu$/$\nu$, respectively. We show that
this evaluation corresponds, up to a sign, to a top-degree part of the
coefficients of $\psi$. As a consequence, we introduce a collection of
integer-valued statistics of maps $(\eta)$ such that the top-degree of the
multivariate generating series of rooted bipartite maps with only one face
(called unicellular) with respect to $\eta$ gives the top-degree of the
appropriate coefficients of $\psi$. Finally, we show that the $b$-conjecture
holds true for all rooted, unicellular bipartite maps of genus at most $2$.


title:
Meson cloud effects in nucleon resonances at low and intermediate
  energies

abstract:
  We review some results obtained by the Coimbra-Ljubljana collaboration that
reveal the important role of the pion cloud in the low- and intermediate-energy
nucleon and delta resonances.


title:
A smooth particle hydrodynamics code to model collisions between solid,
  self-gravitating objects

abstract:
  Modern graphics processing units (GPUs) lead to a major increase in the
performance of the computation of astrophysical simulations. Owing to the
different nature of GPU architecture compared to traditional central processing
units (CPUs) such as x86 architecture, existing numerical codes cannot be
easily migrated to run on GPU. Here, we present a new implementation of the
numerical method smooth particle hydrodynamics (SPH) using CUDA and the first
astrophysical application of the new code: the collision between Ceres-sized
objects. The new code allows for a tremendous increase in speed of
astrophysical simulations with SPH and self-gravity at low costs for new
hardware. We have implemented the SPH equations to model gas, liquids and
elastic, and plastic solid bodies and added a fragmentation model for brittle
materials. Self-gravity may be optionally included in the simulations and is
treated by the use of a Barnes-Hut tree. We find an impressive performance gain
using NVIDIA consumer devices compared to our existing OpenMP code. The new
code is freely available to the community upon request.


title:
Chaotic delocalization of two interacting particles in the classical
  Harper model

abstract:
  We study the problem of two interacting particles in the classical Harper
model in the regime when one-particle motion is absolutely bounded inside one
cell of periodic potential. The interaction between particles breaks
integrability of classical motion leading to emergence of Hamiltonian dynamical
chaos. At moderate interactions and certain energies above the mobility edge
this chaos leads to a chaotic propulsion of two particles with their diffusive
spreading over the whole space both in one and two dimensions. At the same time
the distance between particles remains bounded by one or two periodic cells
demonstrating appearance of new composite quasi-particles called chaons. The
effect of chaotic delocalization of chaons is shown to be rather general being
present for Coulomb and short range interactions. It is argued that such
delocalized chaons can be observed in experiments with cold atoms and ions in
optical lattices.


title:
Vector Network Coding Based on Subspace Codes Outperforms Scalar Linear
  Network Coding

abstract:
  This paper considers vector network coding based on rank-metric codes and
subspace codes. Our main result is that vector network coding can significantly
reduce the required field size compared to scalar linear network coding in the
same multicast network. The achieved gap between the field size of scalar and
vector network coding is in the order of $q^{(\ell-1)t^2/\ell}-q^t$, for any $q
\geq 2$, where $t$ denotes the dimension of the vector solution, and the number
of messages is $2 \ell$, ${\ell \geq 2}$. Previously, only a gap of constant
size had been shown. This implies also the same gap between the field size in
linear and non-linear scalar network coding for multicast networks. Similar
results are given for any number of odd messages greater than two. The results
are obtained by considering several multicast networks which are variations of
the well-known combination network.


title: Freezing motion-induced dephasing in an atomic-ensemble quantum memory

abstract:
  Motion-induced dephasing is a dominant decoherence mechanism for atom-gas
quantum memories. In this paper, we develop a new coherent manipulation
technique which enables arbitrary engineering of the spin-wave momentum with
neglectable noise. By zeroing the spin-wave momentum, motion-induced dephasing
can be frozen completely. We experimentally demonstrate this scheme with
laser-cooled atoms in a DLCZ configuration. By applying the freezing pulses,
memory lifetime gets extended significantly to the limit of atom cloud
expansion and does not depend on the detection angle anymore. The observed high
cross-correlation above 20 proves that high-fidelity memory operation is well
preserved after coherent manipulation.


title:
Existence of groundstates for a class of nonlinear Choquard equations in
  the plane

abstract:
  We prove the existence of a nontrivial groundstate solution for the class of
nonlinear Choquard equation $$ -\Delta u+u=(I_\alpha*F(u))F'(u)\qquad\text{in
}\mathbb{R}^2, $$ where $I_\alpha$ is the Riesz potential of order $\alpha$ on
the plane $\mathbb{R}^2$ under general nontriviality, growth and subcriticality
on the nonlinearity $F \in C^1 (\mathbb{R},\mathbb{R})$.


title:
Spectral Efficient Communications employing 1-Bit Quantization and
  Oversampling at the Receiver

abstract:
  To relax power consumption requirements in multigigabit/s communications
systems low resolution quantization can be used. Information-theoretic results
have shown that systems employing 1-bit quantization and oversampling are a
viable option for this. This work investigates such a structure under the
influence of additive Gaussian noise and two matched pulse shaping filters. It
is described how a BCJR algorithm, based on a finite-state channel assumption,
can be used to reconstruct symbols of higher order modulation schemes that
allow the transmission of more than one bit per symbol. Furthermore, it is
shown how symbol sources that are fitted to the 1-bit constraint can
significantly improve the error rate performance of the system.


title: Channel Parameter Estimation for LOS MIMO Systems

abstract:
  In this paper we consider the estimation of channel coefficients and
frequency offsets for LOS MIMO systems. We propose that by exploiting the
structure of the channel matrix, which is present due to the geometrical nature
of the channel, the estimation process can be enhanced. If a single oscillator
setup is used at transmitter and receiver, respectively, this structure is
preserved and can be exploited. Some methods using this fact are discussed and
their performance is evaluated with respect to estimation accuracy, revealing
that with relatively short training sequences, estimation results close to the
fundamental bounds can be achieved.


title:
Ultrafast non-thermal laser excitation of gigahertz longitudinal and
  shear acoustic waves in spin-crossover molecular crystals
  [$Fe(PM-AzA)_{2}$$(NCS)_{2}$]

abstract:
  We report GHz longitudinal as well as shear acoustic phonons photoexcitation
and photodetection using femtosecond laser pulses in a spin-crossover molecular
crystal. From our experimental observation of time domain Brillouin scattering
triggered by the photoexcitation of acoustic waves across the low-spin (LS) to
high-spin (HS) thermal crossover, we reveal a link between molecular spin state
and photoexcitation of coherent GHz acoustic phonons. In particular, we
experimentally evidence an unconventional non-thermal pathway for the laser
excitation of GHz phonons. We also provide experimental insight on the optical
and mechanical parameters evolution across the LS/HS spin crossover temperature
T$_{1/2}$.


title: Weak Decays of $J/\psi$ and $\Upsilon(1S)$

abstract:
  In this paper we study the weak decays of $J/\psi$ and $\Upsilon(1S)$. Using
the Bethe-Salpeter method, we calculate the hadronic transition amplitude and
give the form factors. We find that two new form factors $h_1$ and $h_2$, which
do not appear in existing literature, have contributions in $1^-\to 1^-$
decays. They affect the branching ratios of semi-leptonic and non-leptonic
decays by the rate of $3\%\sim6\%$ and $2\%\sim14\%$, respectively, so their
contributions can not be ignored and should be considered. Our results show
that, for the semi-leptonic decay modes, the largest branching ratios are of
the order of $10^{-10}$ both for $J/\psi$ and $\Upsilon(1S)$ decays, and the
largest branching ratios of non-leptonic decays are of the order of $10^{-9}$
for $J/\psi$ and $10^{-10}$ for $\Upsilon(1S)$.


title:
Information Rates for Faster-Than-Nyquist Signaling with 1-Bit
  Quantization and Oversampling at the Receiver

abstract:
  Oversampling combined with low quantization resolutions has been shown to be
a viable option when aiming for energy efficiency in multigigabit/s
communications systems. This work considers the case of 1-bit quantization
combined with oversampling and shows how the performance of such a system can
be improved by using matched pulse shaping filters and faster than Nyquist
signaling. The channel is considered with additive Gaussian noise and the
performance of the system is evaluated in terms of achievable information rate
under symbol-by-symbol detection.


title: Curved Rota-Baxter systems

abstract:
  Rota-Baxter systems are modified by the inclusion of a curvature term. It is
shown that, subject to specific properties of the curvature form, curved
Rota-Baxter systems $(A,R,S,\omega)$ induce associative and (left) pre-Lie
products on the algebra $A$. It is also shown that if both Rota-Baxter
operators coincide with each other and the curvature is $A$-bilinear, then the
(modified by $R$) Hochschild cohomology ring over $A$ is a curved differential
graded algebra.


title: A Short Proof of a Concrete Sum

abstract:
  We give an alternative proof of a formula that generalizes Hermite's
identity. Instead involving modular arithmetic, our short proof relies on the
Fourier-type expansion for the floor function and on a trigonometric formula.


title: Homotopy equivalence between Voronoi medusa and Delaunay medusa

abstract:
  We trace movements of certain points in space-time along their corresponding
continuous path. We partition the space at every moment of time using
alpha-Complexes, Voronoi medusa is then the collection or union of restricted
Voronoi cells at every moment in time. We can imagine them as a four
dimensional structure formed when three dimensional restricted Voronoi cells
sweeps continuously through the extra dimension of time. Similarly Delaunay
medusa is the collection of the corresponding Delaunay triangulations at each
moment in time. In this article we prove that these two structures are
homotopic.


title: Optimal Route Planning with Prioritized Task Scheduling for AUV Missions

abstract:
  This paper presents a solution to Autonomous Underwater Vehicles (AUVs) large
scale route planning and task assignment joint problem. Given a set of
constraints (e.g., time) and a set of task priority values, the goal is to find
the optimal route for underwater mission that maximizes the sum of the
priorities and minimizes the total risk percentage while meeting the given
constraints. Making use of the heuristic nature of genetic and swarm
intelligence algorithms in solving NP-hard graph problems, Particle Swarm
Optimization (PSO) and Genetic Algorithm (GA) are employed to find the optimum
solution, where each individual in the population is a candidate solution
(route). To evaluate the robustness of the proposed methods, the performance of
the all PS and GA algorithms are examined and compared for a number of Monte
Carlo runs. Simulation results suggest that the routes generated by both
algorithms are feasible and reliable enough, and applicable for underwater
motion planning. However, the GA-based route planner produces superior results
comparing to the results obtained from the PSO based route planner.


title: Quantum Random Number Generators

abstract:
  Random numbers are a fundamental resource in science and engineering with
important applications in simulation and cryptography. The inherent randomness
at the core of quantum mechanics makes quantum systems a perfect source of
entropy. Quantum random number generation is one of the most mature quantum
technologies with many alternative generation methods. We discuss the different
technologies in quantum random number generation from the early devices based
on radioactive decay to the multiple ways to use the quantum states of light to
gather entropy from a quantum origin. We also discuss randomness extraction and
amplification and the notable possibility of generating trusted random numbers
even with untrusted hardware using device independent generation protocols.


title: Dynamical Crossover in a Stochastic Model of Cell Fate Decision

abstract:
  We study the asymptotic behaviors of stochastic cell fate decision between
proliferation and differentiation. We propose a model of a self-replicating
Langevin system, where cells choose their fate (i.e. proliferation or
differentiation) depending on local cell density. Based on this model, we
propose a scenario for multi-cellular organisms to maintain the density of
cells (i.e., homeostasis) through finite-ranged cell-cell interactions.
Furthermore, we numerically show that the distribution of the number of
descendant cells changes over time, thus unifying the previously proposed two
models regarding homeostasis: the critical birth death process and the voter
model. Our results provide a general platform for the study of stochastic cell
fate decision in terms of nonequilibrium statistical mechanics.


title: A sharp bound on RIC in generalized orthogonal matching pursuit

abstract:
  Generalized orthogonal matching pursuit (gOMP) algorithm has received much
attention in recent years as a natural extension of orthogonal matching
pursuit. It is used to recover sparse signals in compressive sensing. In this
paper, a new bound is obtained for the exact reconstruction of every $K$-sparse
signal via the gOMP algorithm in the noiseless case. That is, if the restricted
isometry constant (RIC) $\delta_{NK+1}$ of the sensing matrix $A$ satisfies
\begin{eqnarray*} \delta_{NK+1}<\frac{1}{\sqrt{\frac{K}{N}+1}}, \end{eqnarray*}
then the gOMP can perfectly recover every $K$-sparse signal $x$ from $y=Ax$.
Furthermore, the bound is proved to be sharp in the following sense. For any
given positive integer $K$, we construct a matrix $A$ with the RIC
\begin{eqnarray*} \delta_{NK+1}=\frac{1}{\sqrt{\frac{K}{N}+1}} \end{eqnarray*}
such that the gOMP may fail to recover some $K$-sparse signal $x$.
  In the noise case, an extra condition on the minimum magnitude of the nonzero
components of every $K-$sparse signal combining with the above bound on RIC of
the sensing matrix $A$ is sufficient to recover the true support of every
$K$-sparse signal by the gOMP.


title:
The ACS LCID Project XI. On the early time resolution of LG dwarf galaxy
  SFHs: Comparing the effects of reionization in models with observations

abstract:
  The analysis of the early star formation history (SFH) of nearby galaxies,
obtained from their resolved stellar populations is relevant as a test for
cosmological models. However, the early time resolution of observationally
derived SFHs is limited by several factors. Thus, direct comparison of
observationally derived SFHs with those derived from theoretical models of
galaxy formation is potentially biased. Here we investigate and quantify this
effect. For this purpose, we analyze the duration of the early star formation
activity in a sample of four Local Group dwarf galaxies and test whether they
are consistent with being true fossils of the pre-reionization era; i.e., if
the quenching of their star formation occurred before cosmic reionization by UV
photons was completed. Two classical dSph (Cetus and Tucana) and two dTrans
(LGS-3 and Phoenix) isolated galaxies with total stellar masses between
$1.3\times 10^6$ to $7.2\times 10^6$ M$_\odot$ have been studied. Accounting
for time resolution effects, the SFHs peak as much as 1.25 Gyr earlier than the
optimal solutions. Thus, this effect is important for a proper comparison of
model and observed SFHs. It is also shown that none of the analyzed galaxies
can be considered a true-fossil of the pre-reionization era, although it is
possible that the {\it outer regions} of Cetus and Tucana are consistent with
quenching by reionization.


title:
A Novel Versatile Architecture for Autonomous Underwater Vehicle's
  Motion Planning and Task Assignment

abstract:
  Expansion of today's underwater scenarios and missions necessitates the
requestion for robust decision making of the Autonomous Underwater Vehicle
(AUV); hence, design an efficient decision making framework is essential for
maximizing the mission productivity in a restricted time. This paper focuses on
developing a deliberative conflict-free-task assignment architecture
encompassing a Global Route Planner (GRP) and a Local Path Planner (LPP) to
provide consistent motion planning encountering both environmental dynamic
changes and a priori knowledge of the terrain, so that the AUV is reactively
guided to the target of interest in the context of an unknown underwater
environment. The architecture involves three main modules: The GRP module at
the top level deals with the task priority assignment, mission time management,
and determination of a feasible route between start and destination point in a
large scale environment. The LPP module at the lower level deals with safety
considerations and generates collision-free optimal trajectory between each
specific pair of waypoints listed in obtained global route. Re-planning module
tends to promote robustness and reactive ability of the AUV with respect to the
environmental changes. The experimental results for different simulated
missions, demonstrate the inherent robustness and drastic efficiency of the
proposed scheme in enhancement of the vehicles autonomy in terms of mission
productivity, mission time management, and vehicle safety.


title:
The design study for a 500 MeV proton synchrotron with CSNS linac as an
  injector

abstract:
  Using the China Spallation Neutron Source (CSNS) linac as the injector, a 500
MeV proton synchrotron is proposed for multidisciplinary application, such as
biology, material and proton therapy. The synchrotron will deliver proton beam
with energy from 80 MeV to 500 MeV. A compact lattice design was worked out,
and all the important beam dynamics issues were investigated. The 80 MeV H-
beam is stripped and injected into the synchrotron by using multi-turn
injection. In order to continuously extraction the proton with small beam loss,
the achromatic structure is proposed and slow extraction method with RF
knock-out is adopted and optimized.


title:
Thoughts on heavy-ion physics in the high luminosity era: the soft
  sector

abstract:
  This document summarizes thoughts on opportunities in the soft-QCD sector
from high-energy nuclear collisions at high luminosities.


title:
State-dependence of climate sensitivity: attractor constraints and
  palaeoclimate regimes

abstract:
  Equilibrium climate sensitivity (ECS) is a key predictor of climate change.
However, it is not very well constrained, either by climate models or by
observational data. The reasons for this include strong internal variability
and forcing on many time scales. In practise this means that the 'equilibrium'
will only be relative to fixing the slow feedback processes before comparing
palaeoclimate sensitivity estimates with estimates from model simulations. In
addition, information from the late Pleistocene ice age cycles indicates that
the climate cycles between cold and warm regimes, and the climate sensitivity
varies considerably between regime because of fast feedback processes changing
relative strength and time scales over one cycle.
  In this paper we consider climate sensitivity for quite general climate
dynamics. Using a conceptual Earth system model of Gildor and Tziperman (2001)
(with Milankovich forcing and dynamical ocean biogeochemistry) we explore
various ways of quantifying the state-dependence of climate sensitivity from
unperturbed and perturbed model time series. Even without considering any
perturbations, we suggest that climate sensitivity can be usefully thought of
as a distribution that quantifies variability within the 'climate attractor'
and where there is a strong dependence on climate state and more specificially
on the 'climate regime' where fast processes are approximately in equilibrium.
We also consider perturbations by instantaneous doubling of CO$_2$ and
similarly find a strong dependence on the climate state using our approach.


title:
Characterization of the metal-insulator transport transition for the
  two-particle Anderson model

abstract:
  We extend to the two-particle Anderson model the characterization of the
metal-insulator transport transition obtained in the one-particle setting by
Germinet and Klein. We show that, for any fixed number of particles, the slow
spreading of wave packets in time implies the initial estimate of a modified
version of the Bootstrap Multiscale Analysis. In this new version, operators
are restricted to boxes defined with respect to the pseudo-distance in which we
have the slow spreading. At the bottom of the spectrum, within the regime of
one-particle dynamical localization, we show that this modified multiscale
analysis yields dynamical localization for the two-particle Anderson model,
allowing us to obtain a characterization of the metal-insulator transport
transition for the two-particle Anderson model at the bottom of the spectrum.


title:
Attacks on Fitness Trackers Revisited: A Case-Study of Unfit Firmware
  Security

abstract:
  Fitness trackers - wearables that continuously record a wearer's step count
and related activity data - are quickly gaining in popularity. Apart from being
useful for individuals seeking a more healthy lifestyle, their data is also
being used in court and by insurance companies to adjust premiums. For these
use cases, it is essential to ensure authenticity and integrity of data. Here
we demonstrate a flaw in the way firmware for Withings' Activit\'e is verified,
allowing an adversary to compromise the tracker itself. This type of attack has
so far not been applied to fitness trackers. Vendors have started mitigating
previous attacks, which manipulated data by interfering with wireless channels,
or by physically moving the tracker to fool sensors. Hardware similarities
amongst different trackers suggest findings can be transferred to other tracker
as well.


title:
New application of superconductors: high sensitivity cryogenic light
  detectors

abstract:
  In this paper we describe the current status of the CALDER project, which is
developing ultra-sensitive light detectors based on superconductors for
cryogenic applications. When we apply an AC current to a superconductor, the
Cooper pairs oscillate and acquire kinetic inductance, that can be measured by
inserting the superconductor in a LC circuit with high merit factor.
Interactions in the superconductor can break the Cooper pairs, causing sizable
variations in the kinetic inductance and, thus, in the response of the LC
circuit. The continuous monitoring of the amplitude and frequency modulation
allows to reconstruct the incident energy with excellent sensitivity. This
concept is at the basis of Kinetic Inductance Detectors (KIDs), that are
characterized by natural aptitude to multiplexed read-out (several sensors can
be tuned to different resonant frequencies and coupled to the same line),
resolution of few eV, stable behavior over a wide temperature range, and ease
in fabrication. We present the results obtained by the CALDER collaboration
with 2x2 cm2 substrates sampled by 1 or 4 Aluminum KIDs. We show that the
performances of the first prototypes are already competitive with those of
other commonly used light detectors, and we discuss the strategies for a
further improvement.


title:
Occam's Razor in Lepton Mass Matrices - The Sign of Universe's Baryon
  Asymmetry -

abstract:
  We discuss the neutrino mass matrix based on the Occam's Razor approach in
the framework of the seesaw mechanism. We impose four zeros in the Dirac
neutrino mass matrix, which give the minimum number of parameters needed for
the observed neutrino masses and lepton mixing angles, while the charged lepton
mass matrix and the right-handed Majorana neutrino mass matrix are taken to be
real diagonal ones. The low-energy neutrino mass matrix has only seven physical
parameters. We show successful predictions for the mixing angle $\theta_{13}$
and the CP violating phase $\delta_{CP}$ with the normal mass hierarchy of
neutrinos by using the experimental data on the neutrino mass squared
differences, the mixing angles $\theta_{12}$ and $\theta_{23}$. The most
favored region of $\sin\theta_{13}$ is around $0.13\sim 0.15$, which is
completely consistent with the observed value. The CP violating phase
$\delta_{CP}$ is favored to be close to $\pm \pi/2$. We also discuss the
Majorana phases as well as the effective neutrino mass for the neutrinoless
double-beta decay $m_{ee}$, which is around $7\sim 8$ meV. It is extremely
remarkable that we can perform a "complete experiment" to determine the
low-energy neutrino mass matrix, since we have only seven physical parameters
in the neutrino mass matrix. In particular, two CP violating phases in the
neutrino mass matrix are directly given by two CP violating phases at high
energy. Thus, assuming the leptogenesis we can determine the sign of the cosmic
baryon in the universe from the low-energy experiments for the neutrino mass
matrix.


title:
Isomer shift and magnetic moment of the long-lived 1/2$^{+}$ isomer in
  $^{79}_{30}$Zn$_{49}$: signature of shape coexistence near $^{78}$Ni

abstract:
  Collinear laser spectroscopy has been performed on the $^{79}_{30}$Zn$_{49}$
isotope at ISOLDE-CERN. The existence of a long-lived isomer with a few hundred
milliseconds half-life was confirmed, and the nuclear spins and moments of the
ground and isomeric states in $^{79}$Zn as well as the isomer shift were
measured. From the observed hyperfine structures, spins $I = 9/2$ and $I = 1/2$
are firmly assigned to the ground and isomeric states. The magnetic moment
$\mu$ ($^{79}$Zn) = $-$1.1866(10) $\mu_{\rm{N}}$, confirms the spin-parity
$9/2^{+}$ with a $\nu g_{9/2}^{-1}$ shell-model configuration, in excellent
agreement with the prediction from large scale shell-model theories. The
magnetic moment $\mu$ ($^{79m}$Zn) = $-$1.0180(12) $\mu_{\rm{N}}$ supports a
positive parity for the isomer, with a wave function dominated by a 2h-1p
neutron excitation across the $N = 50$ shell gap. The large isomer shift
reveals an increase of the intruder isomer mean square charge radius with
respect to that of the ground state: $\delta \langle r^{2}_{c}\rangle^{79,79m}$
= +0.204(6) fm$^{2}$, providing first evidence of shape coexistence.


title: Pricing American options using martingale bases

abstract:
  In this work, we propose an algorithm to price American options by directly
solving the dual minimization problem introduced by Rogers. Our approach relies
on approximating the set of uniformly square integrable martingales by a finite
dimensional Wiener chaos expansion. Then, we use a sample average approximation
technique to efficiently solve the optimization problem. Unlike all the
regression based methods, our method can transparently deal with path dependent
options without extra computations and a parallel implementation writes easily
with very little communication and no centralized work. We test our approach on
several multi--dimensional options with up to 40 assets and show the impressive
scalability of the parallel implementation.


title: Applying Ontological Modeling on Quranic Nature Domain

abstract:
  The holy Quran is the holy book of the Muslims. It contains information about
many domains. Often people search for particular concepts of holy Quran based
on the relations among concepts. An ontological modeling of holy Quran can be
useful in such a scenario. In this paper, we have modeled nature related
concepts of holy Quran using OWL (Web Ontology Language) / RDF (Resource
Description Framework). Our methodology involves identifying nature related
concepts mentioned in holy Quran and identifying relations among those
concepts. These concepts and relations are represented as classes/instances and
properties of an OWL ontology. Later, in the result section it is shown that,
using the Ontological model, SPARQL queries can retrieve verses and concepts of
interest. Thus, this modeling helps semantic search and query on the holy
Quran. In this work, we have used English translation of the holy Quran by
Sahih International, Protege OWL Editor and for querying we have used SPARQL.


title: The Universal Deformation of the Witt Ring Scheme

abstract:
  We determine the universal deformation over reduced base rings of the Witt
ring scheme enhanced by a Frobenius lift and Verschiebung. It agrees with a
q-deformation earlier introduced by the second author, for which we also give a
simpler description. In the appendix we discuss a Witt vector theory for
ind-rings which may be of independent interest.


title:
Accretion disc-corona and jet emission from the radio-loud narrow-line
  Seyfert 1 galaxy RX J1633.3+4719

abstract:
  We perform X-ray/ultraviolet (UV) spectral and X-ray variability studies of
the radio-loud narrow-line Seyfert 1 (NLS1) galaxy RX J1633.3+4719 using
XMM-Newton and Suzaku observations from 2011 and 2012. The 0.3-10 keV spectra
consist of an ultrasoft component described by an accretion disc blackbody
(kT_in = 39.6^{+11.2}_{-5.5} eV) and a power law due to the thermal
Comptonization ({\Gamma} = 1.96^{+0.24}_{-0.31}) of the disc emission. The disc
temperature inferred from the soft excess is at least a factor of 2 lower than
that found for the canonical soft excess emission from radio-quiet NLS1s. The
UV spectrum is described by a power law with photon index 3.05^{+0.56}_{-0.33}.
The observed UV emission is too strong to arise from the accretion disc or the
host galaxy, but can be attributed to a jet. The X-ray emission from RX
J1633.3+4719 is variable with fractional variability amplitude $F_{\rm
var}$=13.5$\pm1.0$ per cent. In contrast to radio-quiet active galactic nuclei
(AGN), X-ray emission from the source becomes harder with increasing flux. The
fractional rms variability increases with energy and the rms spectrum is well
described by a constant disc component and a variable power-law continuum with
the normalization and photon index being anticorrelated. Such spectral
variability cannot be caused by variations in the absorption and must be
intrinsic to the hot corona. Our finding of possible evidence for emission from
the inner accretion disc, jet and hot corona from RX J1633.3+4719 in the
optical to X-ray bands makes this object an ideal target to probe the disc-jet
connection in AGN.


title:
Shortcuts to adiabatic passage for fast generation of three-atom singlet
  state by transitionless quantum driving

abstract:
  Motivated by transitionless quantum driving, we construct shortcuts to
adiabatic passage in a three-atom system to create a singlet state with the
help of quantum zeno dynamics and non-resonant lasers. The influence of various
decoherence processes is discussed by numerical simulation and the results
reveal that the scheme is fast and robust against decoherence and operational
imperfection. We also investigate how to select the experimental parameters to
control the cavity dissipation and atomic spontaneous emission which will have
an application value in experiment.


title:
Joint Device Positioning and Clock Synchronization in 5G Ultra-Dense
  Networks

abstract:
  In this article, we address the prospects and key enabling technologies for
highly efficient and accurate device positioning and tracking in 5G radio
access networks. Building on the premises of ultra-dense networks as well as on
the adoption of multicarrier waveforms and antenna arrays in the access nodes
(ANs), we first formulate extended Kalman filter (EKF)-based solutions for
computationally efficient joint estimation and tracking of the time of arrival
(ToA) and direction of arrival (DoA) of the user nodes (UNs) using uplink
reference signals. Then, a second EKF stage is proposed in order to fuse the
individual DoA/ToA estimates from one or several ANs into a UN position
estimate. Since all the processing takes place at the network side, the
computing complexity and energy consumption at the UN side are kept to a
minimum. The cascaded EKFs proposed in this article also take into account the
unavoidable relative clock offsets between UNs and ANs, such that reliable
clock synchronization of the access-link is obtained as a valuable by-product.
The proposed cascaded EKF scheme is then revised and extended to more general
and challenging scenarios where not only the UNs have clock offsets against the
network time, but also the ANs themselves are not mutually synchronized in
time. Finally, comprehensive performance evaluations of the proposed solutions
on a realistic 5G network setup, building on the METIS project based outdoor
Madrid map model together with complete ray tracing based propagation modeling,
are provided. The obtained results clearly demonstrate that by using the
developed methods, sub-meter scale positioning and tracking accuracy of moving
devices is indeed technically feasible in future 5G radio access networks
operating at sub-6GHz frequencies, despite the realistic assumptions related to
clock offsets and potentially even under unsynchronized network elements.


title:
Time-resolved energy dynamics after single electron injection into an
  interacting helical liquid

abstract:
  The possibility to inject a single electron into ballistic conductors is at
the basis of the new field of electron quantum optics. Here, we consider a
single electron injection into the helical edge channels of a topological
insulator. Their counterpropagating nature and the unavoidable presence of
electron-electron interactions dramatically affect the time evolution of the
single wavepacket. Modeling the injection process from a mesoscopic capacitor
in presence of non-local tunneling, we focus on the time resolved charge and
energy packet dynamics. Both quantities split up into counterpropagating
contributions whose profiles are strongly affected by the interactions
strength. In addition, stronger signatures are found for the injected energy,
which is also affected by the finite width of the tunneling region. Indeed, the
energy flow can be controlled by tuning the injection parameters and we
demonstrate that, in presence of non-local tunneling, it is possible to achieve
situation in which charge and energy flow in opposite directions.


title:
Mitigating selfish primary user emulation attacks in multi-channel
  cognitive radio networks: A surveillance game

abstract:
  Primary User Emulation Attack (PUEA), in which attackers emulate primary user
signals causing restriction of secondary access on the attacked channels, is a
serious security problem in Cognitive Radio Networks (CRNs). An user performing
a PUEA for selfishly occupying more channels is called a selfish PUEA attacker.
Network managers could adopt a surveillance process on disallowed channels for
identifying illegal channel occupation of selfish PUEA attackers and hence
mitigating selfish PUEA. Determining surveillance strategies, particularly in
multi-channel context, is necessary for ensuring network operation fairness. In
this paper, we formulate a game, called multi-channel surveillance game,
between the selfish attack and the surveillance process in multi-channel CRNs.
The sequence-form representation method is adopted to determine the Nash
Equilibrium (NE) of the game. We show that performing the obtained NE
surveillance strategy significantly mitigates selfish PUEA.


title:
Using Extreme Value Theory for Determining the Probability of
  Carrington-Like Solar Flares

abstract:
  Space weather events can negatively affect satellites, the electricity grid,
satellite navigation systems and human health. As a consequence, extreme space
weather has been added to the UK and other national risk registers. By their
very nature, extreme space weather events occur rarely and, therefore,
statistical methods are required to determine the probability of their
occurrence. Space weather events can be characterised by a number of natural
phenomena such as X-ray (solar) flares, solar energetic particle (SEP) fluxes,
coronal mass ejections and various geophysical indices (Dst, Kp, F10.7). In
this paper extreme value theory (EVT) is used to investigate the probability of
extreme solar flares. Previous work has assumed that the distribution of solar
flares follows a power law. However such an approach can lead to a poor
estimation of the return times of such events due to uncertainties in the tails
of the probability distribution function. Using EVT and GOES X-ray flux data it
is shown that the expected 150-year return level is approximately an X60 flare
whilst a Carrington-like flare is a one in a 100-year event. It is also shown
that the EVT results are consistent with flare data from the Kepler space
telescope mission.


title:
Voltage-driven magnetization switching and spin pumping in Weyl
  semimetals

abstract:
  We demonstrate electrical magnetization switching and spin pumping in
magnetically doped Weyl semimetals. The Weyl semimetal is a new class of
topological semimetals, known to have nontrivial coupling between the charge
and the magnetization due to the chiral anomaly. By solving the
Landau-Lifshitz-Gilbert equation for a multilayer structure of a Weyl
semimetal, an insulator and a metal whilst taking the charge-magnetization
coupling into account, magnetization dynamics is analyzed. It is shown that the
magnetization dynamics can be driven by the electric voltage. Consequently,
switching of the magnetization with a pulsed electric voltage can be achieved,
as well as precession motion with an applied oscillating electric voltage. The
effect requires only a short voltage pulse and may therefore be more
energetically efficient for us in spintronics devices compared to conventional
spin transfer torque switching.


title:
Axion Inflation with an SU(2) Gauge Field: Detectable Chiral Gravity
  Waves

abstract:
  We study a single field axion inflation model in the presence of an SU(2)
gauge field with a small vev. In order to make the analysis as
model-independent as possible, we consider an arbitrary potential for the axion
that is able to support the slow-roll inflation. The gauge field is coupled to
the axion with a Chern-Simons interaction $\frac{\lambda}{f}F_{\mu\nu}^a\tilde
F_a^{\mu\nu}$ where $\frac{\lambda}{f}\sim\mathcal{O}(10)$. It has a negligible
effect on the background evolution, $\frac{\rho_{_{\rm YM}}}{M_{\rm
Pl}^2H^2}\lesssim\epsilon^2$. However, its quantum fluctuations make a
significant contribution to the cosmic perturbation. In particular, the gauge
field has a spin-2 fluctuation which explicitly breaks the parity between the
left- and right-handed polarization states. The chiral tensor modes are
linearly coupled to the gravitational waves and lead to a circularly polarized
tensor power spectrum comparable to the unpolarized vacuum power spectrum.
Moreover, the scalar sector is modified by the linear scalar fluctuations of
the gauge field. Since the spin-0 and spin-2 fluctuations of the SU(2) gauge
field are independent, the gauge field can, at the same time, generate a
detectable chiral gravitational wave signal and have a negligible contribution
to the scalar fluctuations, in agreement with the current CMB observations.


title: Local fluctuations of critical Mandelbrot cascades

abstract:
  We investigate so-called generalized Mandelbrot cascades at the freezing
(critical) temperature. It is known that, after a proper rescaling, a~sequence
of multiplicative cascades converges weakly to some continuous random measure.
Our main question is how the limiting measure $\mu$ fluctuates. For any given
point $x$, denoting by $B_n(x)$ the ball of radius $2^{-n}$ centered around
$x$, we present optimal lower and upper estimates of $\mu(B_n(x))$ as $n \to
\infty$.


title: An Ultra-Fast X-ray Disk Wind in the Neutron Star Binary GX 340+0

abstract:
  We present a spectral analysis of a brief Chandra/HETG observation of the
neutron star low-mass X-ray binary GX~340+0. The high-resolution spectrum
reveals evidence of ionized absorption in the Fe K band. The strongest feature,
an absorption line at approximately 6.9 keV, is required at the 5 sigma level
of confidence via an F-test. Photoionization modeling with XSTAR grids suggests
that the line is the most prominent part of a disk wind with an apparent
outflow speed of v = 0.04c. This interpretation is preferred at the 4 sigma
level over a scenario in which the line is H-like Fe XXVI at a modest
red-shift. The wind may achieve this speed owing to its relatively low
ionization, enabling driving by radiation pressure on lines; in this sense, the
wind in GX 340+0 may be the stellar-mass equivalent of the flows in broad
absorption line quasars (BALQSOs). If the gas has a unity volume filling
factor, the mass ouflow rate in the wind is over 10^-5 Msun/year, and the
kinetic power is nearly 10^39 erg/s (or, 5-6 times the radiative Eddington
limit for a neutron star). However, geometrical considerations - including a
small volume filling factor and low covering factor - likely greatly reduce
these values.


title:
Mobility-Assisted on-Demand Routing Algorithm for MANETs in the Presence
  of Location Errors

abstract:
  We propose a mobility-assisted on-demand routing algorithm for mobile ad hoc
networks in the presence of location errors. Location awareness enables mobile
nodes to predict their mobility and enhances routing performance by estimating
link duration and selecting reliable routes. However, measured locations
intrinsically include errors in measurement. Such errors degrade mobility
prediction and have been ignored in previous work. To mitigate the impact of
location errors on routing, we propose an on-demand routing algorithm taking
into account location errors. To that end, we adopt the Kalman filter to
estimate accurate locations and consider route confidence in discovering
routes. Via simulations, we compare our algorithmand previous algorithms in
various environments. Our proposed mobility prediction is robust to the
location errors.


title: Effect of bremsstrahlung radiation emission on fast electrons in plasmas

abstract:
  Bremsstrahlung radiation emission is an important energy loss mechanism for
energetic electrons in plasmas. In this paper we investigate the effect of
spontaneous bremsstrahlung emission on the momentum-space structure of the
electron distribution, fully accounting for the emission of finite-energy
photons. We find that electrons accelerated by electric fields can reach
significantly higher energies than what is expected from energy-loss
considerations. Furthermore, we show that the emission of soft photons can
contribute significantly to the dynamics of electrons with an anisotropic
distribution.


title: Creation, Chaos, Time : from Myth to Modern Cosmology

abstract:
  Every society has a story rooted in its most ancient traditions, of how the
earth and sky originated. Most of these stories attribute the origin of all
things to a Creator - whether God, Element or Idea. We first recall that in the
Western world all discussions of the origin of the world were dominated until
the 18th century by the story of Genesis, which describes the Creation as an
ordered process that took seven days. Then we show how the development of
mechanistic theories in the 18th century meant that the idea of an organized
Creation gave way to the concept of evolution, helped by the fact that in the
19th century astrophysicists discovered that stars had their origin in clouds
of gas. We conclude with Big bang theory, conceived at the beginning of the
20th century, that was subsequently developed into a more or less complete
account of the history of the cosmos, from the supposed birth of space, time
and matter out of the quantum vacuum until the emergence of life (at least on
our planet Earth, and much probably elsewhere) and beyond.


title:
Hybridization and spin-orbit coupling effects in quasi-one-dimensional
  spin-1/2 magnet Ba3Cu3Sc4O12

abstract:
  We study electronic and magnetic properties of the quasi-one-dimensional
spin-1/2 magnet Ba3Cu3Sc4O12 with a distinct orthogonal connectivity of CuO4
plaquettes. An effective low-energy model taking into account spin-orbit
coupling was constructed by means of first-principles calculations. On this
basis a complete microscopic magnetic model of Ba3Cu3Sc4O12, including
symmetric and antisymmetric anisotropic exchange interactions, is derived. The
anisotropic exchanges are obtained from a distinct first-principles numerical
scheme combining, on one hand, the local density approximation taking into
account spin-orbit coupling, and, on the other hand, projection procedure along
with the microscopic theory by Toru Moriya. The resulting tensors of the
symmetric anisotropy favor collinear magnetic order along the structural chains
with the leading ferromagnetic coupling J1 = -9.88 meV. The interchain
interactions J8 = 0.21 meV and J5 = 0.093 meV are antiferromagnetic. Quantum
Monte Carlo simulations demonstrated that the proposed model reproduces the
experimental Neel temperature, magnetization and magnetic susceptibility data.
The modeling of neutron diffraction data reveals an important role of the
covalent Cu-O bonding in Ba3Cu3Sc4O12.


title:
Spatial Attention Deep Net with Partial PSO for Hierarchical Hybrid Hand
  Pose Estimation

abstract:
  Discriminative methods often generate hand poses kinematically implausible,
then generative methods are used to correct (or verify) these results in a
hybrid method. Estimating 3D hand pose in a hierarchy, where the
high-dimensional output space is decomposed into smaller ones, has been shown
effective. Existing hierarchical methods mainly focus on the decomposition of
the output space while the input space remains almost the same along the
hierarchy. In this paper, a hybrid hand pose estimation method is proposed by
applying the kinematic hierarchy strategy to the input space (as well as the
output space) of the discriminative method by a spatial attention mechanism and
to the optimization of the generative method by hierarchical Particle Swarm
Optimization (PSO). The spatial attention mechanism integrates cascaded and
hierarchical regression into a CNN framework by transforming both the input(and
feature space) and the output space, which greatly reduces the viewpoint and
articulation variations. Between the levels in the hierarchy, the hierarchical
PSO forces the kinematic constraints to the results of the CNNs. The
experimental results show that our method significantly outperforms four
state-of-the-art methods and three baselines on three public benchmarks.


title: Fermion mass matrices, textures and beyond

abstract:
  The issue of texture specific fermion mass matrices have been examined
briefly from the `bottom-up' perspective. In case no conditions are imposed,
the texture ansatze leads to a large number of viable possibilities. However,
besides textures, if in case one incorporates the ideas of `natural mass
matrices' and uses the facility of Weak Basis Transformations, then one is able
to arrive at a minimal finite set of viable mass matrices in the case of
quarks.


title: Typical Stability

abstract:
  In this paper, we introduce a notion of algorithmic stability called typical
stability. When our goal is to release real-valued queries (statistics)
computed over a dataset, this notion does not require the queries to be of
bounded sensitivity -- a condition that is generally assumed under differential
privacy [DMNS06, Dwork06] when used as a notion of algorithmic stability
[DFHPRR15a, DFHPRR15b, BNSSSU16] -- nor does it require the samples in the
dataset to be independent -- a condition that is usually assumed when
generalization-error guarantees are sought. Instead, typical stability requires
the output of the query, when computed on a dataset drawn from the underlying
distribution, to be concentrated around its expected value with respect to that
distribution.
  We discuss the implications of typical stability on the generalization error
(i.e., the difference between the value of the query computed on the dataset
and the expected value of the query with respect to the true data
distribution). We show that typical stability can control generalization error
in adaptive data analysis even when the samples in the dataset are not
necessarily independent and when queries to be computed are not necessarily of
bounded-sensitivity as long as the results of the queries over the dataset
(i.e., the computed statistics) follow a distribution with a "light" tail.
Examples of such queries include, but not limited to, subgaussian and
subexponential queries.
  We also discuss the composition guarantees of typical stability and prove
composition theorems that characterize the degradation of the parameters of
typical stability under $k$-fold adaptive composition. We also give simple
noise-addition algorithms that achieve this notion. These algorithms are
similar to their differentially private counterparts, however, the added noise
is calibrated differently.


title:
The subjective discount factor and the coefficient of relative risk
  aversion under time-additive isoelastic expected utility model

abstract:
  By analysing the restrictions that ensure the existence of capital market
equilibrium, we show that the coefficient of relative risk aversion and the
subjective discount factor cannot be high simultaneously as they are supposed
to be to make the standard asset pricing consistent with financial stylised
facts.


title:
Submicrometric Films of Surface-Attached Polymer Network with
  Temperature-Responsive Properties

abstract:
  Temperature-responsive properties of surface-attached
poly(N-isopropylacrylamide) (PNIPAM) network films with well-controlled
chemistry are investigated. The synthesis consists of cross-linking and
grafting preformed ene-reactive polymer chains through thiol--ene click
chemistry. The formation of surface-attached and cross-linked polymer films has
the advantage of being wellcontrolled without any caution of no-oxygen
atmosphere or addition of initiators. PNIPAM hydrogel films with same
cross-link density are synthesized on a wide range of thickness, from
nanometers to micrometers. The swelling-collapse transition with temperature is
studied by using ellipsometry, neutron reflectivity, and atomic force
microscopy as complementary surface-probing techniques. Sharp and high
amplitude temperature-induced phase transition is observed for all
submicrometric PNIPAM hydrogel films. For temperature above LCST,
surface-attached PNIPAM hydrogels collapse similarly but without complete
expulsion of water. For temperature below LCST, the swelling of PNIPAM
hydrogels depends on the film thickness. It is shown that the swelling is
strongly affected by the surface attachment for ultrathin films below $\sim$150
nm. For thicker films above 150 nm (to micrometers), surface-attached polymer
networks with the same cross-link density swell equally. The density profile of
the hydrogel films in the direction normal to the substrate is confronted with
in-plane topography of the free surface. It results that the free interface
width is much larger than the roughness of the hydrogel film, suggesting
pendant chains at the free surface.


title: General lepton textures and their implications

abstract:
  The present work attempts to provide an overview of texture specific lepton
mass matrices. In particular, we summarize the findings of some recent analyses
carried out within non flavor basis, wherein a parallel texture structure for
the lepton and neutrino mass matrices is considered.


title:
On Schroedinger operators with inverse square potentials on the
  half-line

abstract:
  The paper is devoted to operators given formally by the expression
\begin{equation*} -\partial_x^2+\big(\alpha-\frac14\big)x^{-2}. \end{equation*}
This expression is homogeneous of degree minus 2. However, when we try to
realize it as a self-adjoint operator for real $\alpha$, or closed operator for
complex $\alpha$, we find that this homogeneity can be broken.
  This leads to a definition of two holomorphic families of closed operators on
$L^2({\mathbb R}_+)$, which we denote $H_{m,\kappa}$ and $H_0^\nu$, with
$m^2=\alpha$, $-1<\Re(m)<1$, and where $\kappa,\nu\in{\mathbb C}\cup\{\infty\}$
specify the boundary condition at $0$. We study these operators using their
explicit solvability in terms of Bessel-type functions and the Gamma function.
In particular, we show that their point spectrum has a curious shape: a string
of eigenvalues on a piece of a spiral. Their continuous spectrum is always
$[0,\infty[$. Restricted to their continuous spectrum, we diagonalize these
operators using a generalization of the Hankel transformation. We also study
their scattering theory.
  These operators are usually non-self-adjoint. Nevertheless, it is possible to
use concepts typical for the self-adjoint case to study them. Let us also
stress that $-1<\Re(m)<1$ is the maximal region of parameters for which the
operators $H_{m,\kappa}$ can be defined within the framework of the Hilbert
space $L^2({\mathbb R}_+)$.


title:
Resonant capture of multiple planet systems under dissipation and stable
  orbital configurations

abstract:
  Migration of planetary systems caused by the action of dissipative forces may
lead the planets to be trapped in a resonance. In this work we study the
conditions and the dynamics of such resonant trapping. Particularly, we are
interested in finding out whether resonant capture ends up in a long-term
stable planetary configuration. For two planet systems we associate the
evolution of migration with the existence of families of periodic orbits in the
phase space of the three-body problem. The family of circular periodic orbits
exhibits a gap at the 2:1 resonance and an instability and bifurcation at the
3:1 resonance. These properties explain the high probability of 2:1 and 3:1
resonant capture at low eccentricities. Furthermore, we study the resonant
capture of three-planet systems. We show that such a resonant capture is
possible and can occur under particular conditions. Then, from the migration
path of the system, stable three-planet configurations, either symmetric or
asymmetric, can be determined.


title:
Ergodic measures with multi-zero Lyapunov exponents inside homoclinic
  classes

abstract:
  We prove that for $C^1$ generic diffeomorphisms, if a homoclinic class $H(P)$
contains two hyperbolic periodic orbits of indices $i$ and $i+k$ respectively
and $H(P)$ has no domination of index $j$ for any $j\in\{i+1,\cdots,i+k-1\}$,
then there exists a non-hyperbolic ergodic measure whose $(i+l)^{th}$ Lyapunov
exponent vanishes for any $l\in\{1,\cdots, k\}$, and whose support is the whole
homoclinic class.
  We also prove that for $C^1$ generic diffeomorphisms, if a homoclinic class
$H(P)$ has a dominated splitting of the form $E\oplus F\oplus G$, such that the
center bundle $F$ has no finer dominated splitting, and $H(p)$ contains a
hyperbolic periodic orbit $Q_1$ of index $\dim(E)$ and a hyperbolic periodic
orbit $Q_2$ whose absolute Jacobian along the bundle $F$ is strictly less than
$1$, then there exists a non-hyperbolic ergodic measure whose Lyapunov
exponents along the center bundle $F$ all vanish and whose support is the whole
homoclinic class.


title: Loss Bounds and Time Complexity for Speed Priors

abstract:
  This paper establishes for the first time the predictive performance of speed
priors and their computational complexity. A speed prior is essentially a
probability distribution that puts low probability on strings that are not
efficiently computable. We propose a variant to the original speed prior
(Schmidhuber, 2002), and show that our prior can predict sequences drawn from
probability measures that are estimable in polynomial time. Our speed prior is
computable in doubly-exponential time, but not in polynomial time. On a
polynomial time computable sequence our speed prior is computable in
exponential time. We show better upper complexity bounds for Schmidhuber's
speed prior under the same conditions, and that it predicts deterministic
sequences that are computable in polynomial time; however, we also show that it
is not computable in polynomial time, and the question of its predictive
properties for stochastic sequences remains open.


title:
Locally Orthogonal Training Design for Cloud-RANs Based on Graph
  Coloring

abstract:
  We consider training-based channel estimation for a cloud radio access
network (CRAN), in which a large amount of remote radio heads (RRHs) and users
are randomly scattered over the service area. In this model, assigning
orthogonal training sequences to all users will incur a substantial overhead to
the overall network, and is even impossible when the number of users is large.
Therefore, in this paper, we introduce the notion of local orthogonality, under
which the training sequence of a user is orthogonal to those of the other users
in its neighborhood. We model the design of locally orthogonal training
sequences as a graph coloring problem. Then, based on the theory of random
geometric graph, we show that the minimum training length scales in the order
of $\ln K$, where $K$ is the number of users covered by a CRAN. This indicates
that the proposed training design yields a scalable solution to sustain the
need of large-scale cooperation in CRANs. Numerical results show that the
proposed scheme outperforms other reference schemes.


title:
Stability of the optimal filter in continuous time: Beyond the bene{\v
  s} filter

abstract:
  We are interested in the optimal filter in a continuous time setting. We want
to show that the optimal filter is stable with respect to its initial
condition. We reduce the problem to a discrete time setting and apply
truncation techniques coming from [OR05]. Due to the continuous time setting,
we need a new technique to solve the problem. In the end, we show that the
forgetting rate is at least a power of the time t. The results can be re-used
to prove the stability in time of a numerical approximation of the optimal
filter.


title:
An incremental linear-time learning algorithm for the Optimum-Path
  Forest classifier

abstract:
  We present a classification method with incremental capabilities based on the
Optimum-Path Forest classifier (OPF). The OPF considers instances as nodes of a
fully-connected training graph, arc weights represent distances between two
feature vectors. Our algorithm includes new instances in an OPF in linear-time,
while keeping similar accuracies when compared with the original quadratic-time
model.


title: Medial quasigroups of prime square order

abstract:
  We prove that, for any prime $p$, there are precisely $2p^4-p^3-p^2-3p-1$
medial quasigroups of order $p^2$, up to isomorphism.


title: Optimal Margin Distribution Machine

abstract:
  Support vector machine (SVM) has been one of the most popular learning
algorithms, with the central idea of maximizing the minimum margin, i.e., the
smallest distance from the instances to the classification boundary. Recent
theoretical results, however, disclosed that maximizing the minimum margin does
not necessarily lead to better generalization performances, and instead, the
margin distribution has been proven to be more crucial. Based on this idea, we
propose a new method, named Optimal margin Distribution Machine (ODM), which
tries to achieve a better generalization performance by optimizing the margin
distribution. We characterize the margin distribution by the first- and
second-order statistics, i.e., the margin mean and variance. The proposed
method is a general learning approach which can be used in any place where SVM
can be applied, and their superiority is verified both theoretically and
empirically in this paper.