meta stringlengths 139 139 | red_pajama_subset stringclasses 1
value | prompt stringlengths 1 200 | answer stringlengths 0 518k |
|---|---|---|---|
{'timestamp': '2016-07-19T02:05:37', 'yymm': '1607', 'arxiv_id': '1607.04804', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04804'} | arxiv | \section{Introduction}
An inverse atmospheric dispersion problem is stated as follows: given the
topography, the meteorological conditions and a set of detector readings
determine where and when the | hazardous substance was released and in which
quantities. The problem is known as a source reconstruction problem, and it
is easy to state but harder to solve due to being, like most inverse
problems, ill-posed \cite{Tikhonov1963},\cite{Enting2002}. Spurred by
various applications including the locating of industrial p... |
{'timestamp': '2017-01-05T02:05:47', 'yymm': '1607', 'arxiv_id': '1607.04695', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04695'} | arxiv | \section{Introduction}
Network operators continuously upgrade their networks due to increasing demands for ubiquitous communications. As popularities of cloud computing, Internet of Things (IoT), and | 5G mobile communications increase, network traffic is becoming heavy and extremely bursty. Thus, just enlarging the network capacity is not an economical choice, while neglecting it will strongly affect the QoS. Also, emerging applications, such as online gaming, data backups and virtual machine migrations, result in h... |
{'timestamp': '2016-07-19T02:04:41', 'yymm': '1607', 'arxiv_id': '1607.04750', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04750'} | arxiv | \section{Introduction}
\subsection{The main theorem}
Let $F$ be a totally real field, $p$ be an odd prime, and ${\mathcal O}$ the ring of integers of a finite extension of $\Q_p$. In proving automo | rphy of geometric representations $\rho:G_F \rightarrow GL_2({\mathcal O})$ which are residually automorphic, there is an assumption made (the Taylor-Wiles hypothesis) that the residual representation $ {\overline{\rho}} $ is irreducible when restricted to $F(\zeta_p)$. In \cite{Thorne}, Thorne has recently weakened ... |
{'timestamp': '2017-10-23T02:06:44', 'yymm': '1607', 'arxiv_id': '1607.04565', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04565'} | arxiv | \section{Introduction}\label{sec1}
An important tool of modern harmonic analysis is the extrapolation theorem due to Rubio de Francia.
For a given operator $T$ we suppose that for some $p_0$, $1 \le | p_0 < \infty$, and
for every weight belonging to the Muckenhoupt class $A_{p_0}$ the inequality
\begin{equation} \label{i1}
\norm{Tf}{\ensuremath{L_{p_0,w} (\ensuremath{{\mathbb R}^n})}}= \left(\int_{\ensuremath{{\mathbb R}^n}} |Tf(x)|^{p_0} w(x) dx \right)^\frac{1}{p_0} \le c \norm{f}{\ensuremath{L_{p_0,w} (\ensurem... |
{'timestamp': '2016-08-26T02:02:51', 'yymm': '1607', 'arxiv_id': '1607.04740', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04740'} | arxiv | \section{Introduction}
The phenomenon of Brillouin scattering, whereby an acoustic field mediates
transitions between optical modes in an optical
waveguide~\cite{Brillouin1922,Boyd2003,Agrawal2012 | }, has been the focus of
intense research interest in recent years, driven by a suite of key
applications in nanophotonics ranging from microwave photonic filters to
novel light sources~\cite{Eggleton2013}.
Brillouin scattering can be categorised according to the direction of light
scattered by the phonon field: ... |
{'timestamp': '2016-07-18T02:08:46', 'yymm': '1607', 'arxiv_id': '1607.04589', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04589'} | arxiv | \section{Introduction \label{sec:intro}}
\IEEEPARstart{A}{utomatic} speech recognition, music classification, audio
indexing, and to a less visible extent biometric voice authentication, have now
achi | eved some degree of commercial success in mass markets. A vast proportion
of these applications are supported by PC platforms, cloud computing and
powerful smartphones. Nevertheless, a new market is quickly emerging in the
domain of the {\em Internet of Things} (IoT) \cite{gubbi2013internet}. In this market, Automatic
... |
{'timestamp': '2016-07-18T02:07:27', 'yymm': '1607', 'arxiv_id': '1607.04521', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04521'} | arxiv | \section{Introduction}
Let $\Omega$ be a domain of $\mathbb{R}^n$ and $W_0^{1,q}(\Omega)$ be the closure of $C_0^\infty(\Omega)$ with respect to the norm
$$\|u\|_{W_0^{1,q}(\Omega)}=\le(\int_\Omeg | a\le(|\nabla u|^q+|u|^q\ri)dx\ri)^{1/q},$$
where $q\geq 1$. Then the Sobolev embedding theorem reads
$$W_0^{1,q}(\Omega)\hookrightarrow\le\{\begin{array}{lll}
L^p(\Omega)\,\,\,{\rm for}\,\,\, q\leq p\leq q^*=\f{nq}{n-q},&{\rm when}\,\,\, n>q\\[1.5ex]
L^p(\Omega)\,\,\,{\rm for}\,\,\, q\leq p<+\infty, &{\rm when}\,\,... |
{'timestamp': '2016-07-19T02:07:49', 'yymm': '1607', 'arxiv_id': '1607.04890', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04890'} | arxiv | \section{Introduction}
Suppose that $F$ is a free group of finite rank, $\rr(F)$ denotes the rank of $F$, and $\brr(F) := \max
(\rr(F)-1,0)$ is the reduced rank of $F$. Let $H, K$ be finitel | y
generated subgroups of $F$ and let $\langle H, K \rangle$ denote the the subgroup generated by $H, K$, called the
{\em join} of $H, K$. Hanna Neumann \cite{N1} proved
that $ \brr (H \cap K) \le 2 \bar \rr(H) \bar \rr(K)$ and
conjectured that $\brr (H \cap K) \le \bar \rr(H) \bar \rr(K)$. This problem, k... |
{'timestamp': '2017-10-31T01:10:10', 'yymm': '1607', 'arxiv_id': '1607.04904', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04904'} | arxiv | \section{Introduction}
The Downwards L\"{o}wenheim-Skolem-Tarski Theorem states that every model $M$ for a language $\mathcal{L}$, $|M| = \kappa \geq \aleph_0$, and cardinal $|\mathcal{L}| + \aleph_0 | \leq \mu \leq \kappa$ there is an elementary submodel $M^\prime \prec M$, of cardinality $\mu$. Informally speaking, this means that first order logic (with countable language) cannot distinguish between infinite cardinals.
Second order logic, in which we are allowed to quantify over subsets of the structure, is stro... |
{'timestamp': '2016-07-19T02:00:36', 'yymm': '1607', 'arxiv_id': '1607.04660', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04660'} | arxiv | \section{Introduction}
Recent years have witnessed a remarkable convergence of two broad trends. The first of these concerns information i.e.\ data -- rapid technological advances coupled with an incr | eased presence of computing in nearly every aspect of daily life, have for the first time made it possible to acquire and store massive amounts of highly diverse types of information. Concurrently and in no small part propelled by the environment just described, research in artificial intelligence -- in machine learnin... |
{'timestamp': '2016-07-18T02:09:04', 'yymm': '1607', 'arxiv_id': '1607.04600', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04600'} | arxiv | \section{Introduction}\label{sec:intro}
Many central problems in geometry, topology, and mathematical physics lead to questions concerning the long-time dynamics of solutions to ordinary and paraboli | c partial differential equations. Three basic scenarios are possible. \\
First, under suitable dissipativity conditions, longtime existence is guaranteed and a low-dimensional global attractor of uniformly bounded eternal solutions exists. The structure of such global attractors details longtime behavior. Some of thos... |
{'timestamp': '2016-07-19T02:04:37', 'yymm': '1607', 'arxiv_id': '1607.04743', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04743'} | arxiv | \section{Introduction}
In the past decade, a new field dubbed topological insulator (TI)\cite{hasan2010colloquium,qi2011topological,kane2005z,bernevig2006quantum} has caused enormous attentions in th | e condensed matter physics. Different from the earliest topological states in quantum Hall effect\cite{klitzing1980new,thouless1982quantized} which requires a strong magnetic field, TI is time-reversal-symmetry protected, and can be characterized by the $Z_2$ topological invariant\cite{kane2005z,moore2007topological,fu... |
{'timestamp': '2016-08-30T02:02:20', 'yymm': '1607', 'arxiv_id': '1607.04928', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04928'} | arxiv | \section{Introduction}
Employing the AdS/CFT correspondence it was shown \cite{Hartnoll:2008vx} that a
holographic superconductor can be builded on a boundary of
a gravity theory consisting of a blac | k hole which acquires scalar hair
at temperature below a critical temperature, while above the critical temperature there is
no scalar hair. A condensate of the charged
scalar field is formed through its coupling to a Maxwell field of
the gravity sector. The study was carried out in the probe limit~\cite{Gubser:2008px}... |
{'timestamp': '2016-07-18T02:07:58', 'yymm': '1607', 'arxiv_id': '1607.04554', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04554'} | arxiv | \section{Introduction}
Heavy quarks (charm and beauty) are abundantly produced at the LHC \cite{LHC} in the early stages of hadronic collisions via hard scattering processes and experience the full e | volution of the collision. The measurement of heavy flavours in \ensuremath{\mathrm {p\kern-0.05emp}}\ collisions can be used to test pQCD calculations. In addition, they provide an essential baseline for the studies in nuclear (\ensuremath{\mbox{p--Pb}}\ and \ensuremath{\mbox{Pb--Pb}}) collisions. Their production in... |
{'timestamp': '2016-07-19T02:04:58', 'yymm': '1607', 'arxiv_id': '1607.04773', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04773'} | arxiv | \section{Introduction\label{sec:intro}}
In the United States, bladder cancer is the fourth and ninth most
widespread cancer among males and females, respectively, whereas in
Europe, approximately 50,0 | 00 people die from this disease each year
\cite{Alcaraz:2007}. Due to the high recurrence rate of $50\%$,
lifetime monitoring of patients is required after surgical removal of
cancer tumors \cite{Holzbeierlein:2004}. During a cystoscopy, a
flexible or rigid endoscope is inserted into the bladder through the
urethra, an... |
{'timestamp': '2017-03-22T01:10:01', 'yymm': '1607', 'arxiv_id': '1607.04610', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04610'} | arxiv | \section{Custodial symmetry in the SM and the THDM}
\label{Sec:CustSym}
The custodial symmetry is an approximate global \linebreak${SU(2)_L\times SU(2)_R}$ symmetry of the SM which is responsible for | the tree-level value of the $\rho$ parameter \cite{Weinberg:1979bn,Susskind:1978ms,Sikivie:1980hm}. Since the Higgs potential respects the remaining $SU(2)_{L+R}$ after electroweak symmetry breaking the $\rho$ parameter is protected from large radiative corrections in the Higgs mass. In the gauge interaction the custo... |
{'timestamp': '2016-07-19T02:06:51', 'yymm': '1607', 'arxiv_id': '1607.04843', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04843'} | arxiv | \section{\label{sec:level1}Introduction\protect\\}
Contamination of a cylindrically or toroidally trapped electron plasma by a fractional population of ions can, under certain conditions, disrupt the | equilibrium of the trapped electron cloud. The related instability, known as the ion resonance instability, manifests itself in the form of growing poloidal modes (diocotron modes\cite{rdav1,dub}) of the plasma\cite{megh3}. The primary cause for such contamination (either planned or inadvertent) in most electron plasm... |
{'timestamp': '2016-07-19T02:02:43', 'yymm': '1607', 'arxiv_id': '1607.04706', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04706'} | arxiv | \section{Introduction}
Radio galaxies and quasars have radio-emitting structure that can be conveniently divided into two
categories: extended structure, the dimensions of which range
from $10^{3 | }$ pc to even $10^{6}$ pc, and compact structure,
with dimensions typically ranging from 1 pc to 100 pc \citep{kel88}.
Extragalactic radio sources with compact structure are used to
realize the fundamental Celestial Reference Frame with axis
stability at the level of ten microarcseconds ($\mu$as) by very
long bas... |
{'timestamp': '2016-07-19T02:06:59', 'yymm': '1607', 'arxiv_id': '1607.04848', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04848'} | arxiv | \section{Introduction}
Let $X_{1},X_{2},....$ be a sequence of independent random variables with common distribution function $F$ and for each integer $n\geq 1$, let
X_{1,n}\leq ...\leq X_{n,n}$ d | enote the order statistics based on the first
n$ of these random variables. Cs\"{o}rg\H{o} and Mason (1985, 1986) have recently shown among other results that if
\begin{equation}
1-F(x)=L^{\ast }(x)x^{-a}\text{ }as\text{ }x\longrightarrow \infty, \label{r1}
\end{equation}
\noindent where $L^{*}$ is a slowly va... |
{'timestamp': '2016-08-18T02:06:59', 'yymm': '1607', 'arxiv_id': '1607.04806', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04806'} | arxiv | \section*{abstract}
Light possesses both spin and orbital angular momentum (AM). While spin AM is determined by helicity of circular-polarization, orbital AM is characterized by topological charge of | vortex beam. Interaction of AM with optical beam orbit leads to optical spin Hall or orbital Hall effect, exhibited as spin-dependent or topological charge-dependent transverse shift of optical beam. Conservation of AM enables spin-to-orbital AM conversion, where circular-polarized Gaussian beam is converted to opposi... |
{'timestamp': '2016-07-19T02:00:45', 'yymm': '1607', 'arxiv_id': '1607.04668', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04668'} | arxiv |
\section{Introduction}
\label{sec:intro}
The precise measurement of the polarization of the Cosmic Microwave Background (CMB) is an active area of experimental physics, motivating a variety of curre | nt and upcoming polarimeter projects.
The CMB temperature anisotropy, measured to extreme precision over the last two decades, has provided evidence for the standard model of Big Bang cosmology and hints at an inflationary period. In the same way, the CMB polarization, and in particular the curl `B-mode' pattern, conta... |
{'timestamp': '2016-07-18T02:09:51', 'yymm': '1607', 'arxiv_id': '1607.04633', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04633'} | arxiv | \section{Introduction}
Radio galaxies (RGs) are radio loud active galaxy nuclei (AGN) exhibiting clear structure of a compact central source, large-scale jets and lobes. These sources are also of | interest due to the close proximity to the earth affording us an excellent opportunity for studying the physics of relativistic outflows. They have been widely studied from radio wavelengths to MeV-GeV $\gamma$-rays and recently at very-high-energy (VHE) by Imagine Atmospheric Cherenkov Telescope (IACT). RGs are ge... |
{'timestamp': '2016-07-18T02:08:43', 'yymm': '1607', 'arxiv_id': '1607.04584', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04584'} | arxiv | \section{Introduction}
Bulk acoustic wave (BAW) piezoelectric devices are widely used in research and industry to make temperature sensors, acoustic cavities or filters for several applications. Re | cently it has been demonstrated that quartz acoustic cavities can exhibit very high quality factors, up to a few billions for the best ones, at liquid helium temperature~\cite{galliouScRip2013}. In these conditions they become very attractive for various experiments in fundamental physics~\cite{Muller2016, Goryachev:20... |
{'timestamp': '2016-07-18T02:08:34', 'yymm': '1607', 'arxiv_id': '1607.04576', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04576'} | arxiv | \section{Introduction}
\label{intro}
Deep neural networks (DNNs) have been successful in modeling many aspects of
natural language including word meanings \cite{mikolov}\cite{le},
machine translati | on \cite{sutskever},
syntactic parsing \cite{vinyals_grammar}, language modeling \cite{jozefowicz} and
image captioning \cite{vinyals_caption}.
Given sufficient training data, DNNs are
highly accurate and can be trained end-to-end without the need for
intermediate knowledge representations or explicit feature extracti... |
{'timestamp': '2016-07-19T02:08:34', 'yymm': '1607', 'arxiv_id': '1607.04906', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04906'} | arxiv |
\section{Introduction}
\label{section.introduction_chap_fb}
The Fermi bubbles are important Galactic structures that were recently discovered by the \textit{Fermi Gamma-ray Space Telescope} \citep{s | u_etal10}. The bubbles are two diffuse lobes of material extending $\sim$50$\arcdeg$ above and below the Galactic plane ($\approx$10 kpc at the Galactic center). Their surface brightness shows little variation on the sky, their gamma-ray spectrum follows a power law with $dN/dE \propto E^{-2}$ between $\approx$1 and ... |
{'timestamp': '2016-07-18T02:09:10', 'yymm': '1607', 'arxiv_id': '1607.04607', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04607'} | arxiv | \section{Introduction}
It is well known that a degree $n$ Blaschke product is an $n$-to-$1$ (counting multiplicity) analytic self-map of the unit disk $\mathbb{D}$, and moreover that every such analy | tic $n$-to-$1$ self-map of the unit disk is a degree $n$ Blaschke product. We can restate this in a slightly more general setting. Throughout this paper we let $G\subset\mathbb{C}$ denote a simply connected domain, and we let $\mathcal{S}\subset G$ be a smooth Jordan curve, with bounded face $D$.
\begin{theorem}\lab... |
{'timestamp': '2017-06-20T02:14:36', 'yymm': '1607', 'arxiv_id': '1607.04606', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04606'} | arxiv | \section{Multi-threading}
We measure the performance of the obtained word vectors on the word similarity task, when the number of threads used for training change.
In Table~\ref{tab:threads} we repor | t the correlation with human judgement for models trained on \texttt{small} for threads ranging from 1 to 32.
In Table~\ref{tab:threads-large} we report the correlation with human judgement for models trained on \texttt{large} for threads ranging from 15 to 30.
\begin{table}
\centering
\begin{tabular}{rcccccc}
... |
{'timestamp': '2016-08-02T02:11:40', 'yymm': '1607', 'arxiv_id': '1607.04564', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04564'} | arxiv | \section{Introduction and Related Work}
Automatic analysis of urban traffic activities is an urgent need due to essential traffic management and increased vehicle violations. Among many traffic survei | llance techniques, computer vision-based methods have attracted a great deal of attention and made great contributions to realistic applications such as vehicle counting, target vehicle retrieval and behavior analysis. In these research areas, efficient and accurate vehicle detection and attributes annotation is the mo... |
{'timestamp': '2018-03-23T01:10:14', 'yymm': '1607', 'arxiv_id': '1607.04571', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04571'} | arxiv | \section{Introduction}
Given a smooth manifold $M$, assume a family of smooth immersions in a semi-Rieman\-nian manifold $(\mathbf{M},\mathbf{g})$, $F_t:M\rightarrow \mathbf{M}$, $t\in [0,\delta)$, | $\delta>0$, with mean curvature vector $\vec{H}_t$. The initial immersion $F_0$ is called a solution to the \textit{mean curvature flow} (up to local diffeomorphism) if
\begin{equation}\label{MCF} \left(\frac{d}{dt} F_t\right)^{\perp} = \vec{H}_t,
\end{equation}
where $\perp$ means the orthogonal projection on the nor... |
{'timestamp': '2017-06-06T02:07:57', 'yymm': '1607', 'arxiv_id': '1607.04931', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04931'} | arxiv | \section{Introduction}
Increasing the number of cellular base stations~(BSs) to serve a given area, also known as network densification, is foreseen to be a necessary solution
to address the large dat | a rate
demands of the future fifth-generation~(5G) wireless communication networks~\cite{andrews-etal2014what,bhushan-etal2014network}. Cloud radio access network~(CRAN) provides a cost-effective way to achieve network densification, by replacing the conventional BSs with low-power
distributed remote radio heads~(RRHs)... |
{'timestamp': '2016-07-18T02:07:59', 'yymm': '1607', 'arxiv_id': '1607.04557', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04557'} | arxiv | \section{Introduction}
When dealing with large data sets, it is often crucial to be able to extract a smaller well-diversified subset of the data. This is a classic problem in information retriev | al, and appears in many natural settings.
For example, a news website often presents the reader with a small list of highlighted stories that should be as relevant as possible to the reader. However, at the same time, the shown news stories should exhibit a certain diversity.
The analogous problem appears in the cont... |
{'timestamp': '2018-03-26T02:09:50', 'yymm': '1607', 'arxiv_id': '1607.04646', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04646'} | arxiv | \section{Introduction}
Entanglement is a valuable resource in precision measurement, as measurements using entangled probe systems have fundamentally higher optimal sensitivity than those using unent | angled states \cite{Bollinger1996}. A generic measurement using $N$ unentangled probes will have a standard deviation from the true value asymptotically proportional to $1/ \sqrt{N}$. By using $N$ maximally entangled probes, a single parameter coupled independently to each probe system can be measured with an uncertai... |
{'timestamp': '2016-07-19T02:03:59', 'yymm': '1607', 'arxiv_id': '1607.04736', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04736'} | arxiv | \section{Introduction}
\label{sec-1}
``The devil is in the tails" is the title of the paper by Donnelly and
Embrechts (2010) who refute the harsh criticism of mathematics (Salmon,
2012) in genera | l, and of the Gaussian copula-based credit risk model
of Li (2000) in particular. As a member of the unholy trinity (Kousky and
Cooke, 2009), the notion of tail dependence is in the very center of this
controversy. Speaking plainly, tail dependence is about the clustering of
extreme events, and it is a rather
daun... |
{'timestamp': '2016-07-18T02:09:48', 'yymm': '1607', 'arxiv_id': '1607.04628', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04628'} | arxiv | \section{Introduction} \label{intro}
The goal of this work is to further explore heterotic target space duality, with the hope of moving towards a more fully developed notion of dualities involving t | he $(0,2)$ heterotic string. At present, many heterotic string dualities -- including any complete notion of $(0,2)$ mirror symmetry \cite{Blumenhagen:1996vu,Adams:2003zy,Melnikov:2010sa,Melnikov:2012hk} -- remain relatively unexplored compared to their counterparts in $(2,2)$ string theories. Heterotic mirror symmetry... |
{'timestamp': '2016-07-28T02:03:45', 'yymm': '1607', 'arxiv_id': '1607.04820', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04820'} | arxiv | \section*{Introduction}
M. F. Atiyah \cite{MR0420729}
introduced the notion of the $\Gamma$-index $\mathrm{index}_{\Gamma}(\widetilde{D})$
for a lifted elliptic differential operator $\widetilde{D} | $
on a Galois $\Gamma$-covering over a closed manifold
and proved that the $\Gamma$-index $\mathrm{index}_{\Gamma}(\widetilde{D})$
of a lifted operator $\widetilde{D}$
equals the Fredholm index $\mathrm{index} (D)$ of the elliptic differential operator $D$
on the base manifold.
On the other hand, Atiyah \cite{MR0... |
{'timestamp': '2016-07-19T02:05:07', 'yymm': '1607', 'arxiv_id': '1607.04776', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04776'} | arxiv | \section*{Appendix}
\subsection{Proof of Lemma \ref{lem:sigmak}}
\begin{IEEEproof}
We first state the following result that will be used in the proof.
\begin{lemma}[Ger\v{s}hgorin circle theorem \cit | e{HJ12}]
Let A be a complex $n \times n$ matrix, with entries $a_{ij}$. Then, every eigenvalue of A lies within at least one of the Ger\v{s}hgorin discs $D_i(A) (i=1,...,n)$, where
$D_i(A):=\{ z \in \C: |z-a_{ii}| \leq \sum_{j\neq{i}} \left|a_{ij}\right|\}$.
\end{lemma}
For any given $\I$ with $|\I| \leq k$, since $W... |
{'timestamp': '2016-11-07T02:03:02', 'yymm': '1607', 'arxiv_id': '1607.04935', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04935'} | arxiv | \section{Introduction} \label{Sec_Introduction}
Modification of hadron properties in extreme environments such as finite temperature and density is one of the important problems in hadron physics, whi | ch is useful to clarify the relation between hadrons and the vacuum.
Similarly, an external magnetic field comparable to the typical scale of quantum chromodynamics (QCD) may drastically change hadron properties.
Such an intense field can be induced in noncentral heavy-ion collisions between two charged nuclei, where t... |
{'timestamp': '2016-07-19T02:08:36', 'yymm': '1607', 'arxiv_id': '1607.04908', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04908'} | arxiv | \section{Introduction}\label{sec:introduction}
Quantitative investigations in logic, where properties and behaviour of typical objects are studied, form a rich and well-established branch of mathemati | cs on the border of logic, combinatorics and theoretical computer science. From a combinatorial point of view, logical formulae are objects with finite representations and, sometimes several, naturally associated notions of size. In cases when the assumed size notion imposes finitely many objects of any size, we can co... |
{'timestamp': '2016-07-18T02:07:55', 'yymm': '1607', 'arxiv_id': '1607.04551', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04551'} | arxiv | \section*{1. Introduction}
The Riemann zeta function $\zeta(s)$ which basically was known already to Euler establishes the most important link between number theory and analysis. The proof of the Rie | mann hypothesis is a longstanding problem since it was formulated by Riemann \cite{rie} in 1859. The Riemann hypothesis is the conjecture that all nontrivial zeros of the Riemann zeta function $\zeta(s)$ for complex $s=\sigma+\I t$ are positioned on the line $s=\frac{1}{2}+\I t$ that means on the line parallel to the i... |
{'timestamp': '2016-11-15T02:07:03', 'yymm': '1607', 'arxiv_id': '1607.04912', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04912'} | arxiv | \section{Introduction}
In this paper we study a parameter estimation problem for the drift/viscosity coefficient of a linear parabolic stochastic partial differential equation (SPDE) driven by an addi | tive space-time noise (possibly colored in space). We assume that the observable variable is one path of the solution, observed continuously on a finite time-interval as an element of an infinite dimensional Hilbert space. More precisely, we assume that the first $N$ Fourier modes of the solution are observed continu... |
{'timestamp': '2016-07-19T02:03:49', 'yymm': '1607', 'arxiv_id': '1607.04735', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04735'} | arxiv | \section{Introduction}
Consider the standard stochastic approximation scheme given by,
\begin{equation}\label{recstd}
X_{n+1}=X_n+a(n)\left(h(X_n)+M_{n+1}\right)
\end{equation}
where $\left\{X_n\rig | ht\}_{n\geq0}$ is a sequence of $\mathbb{R}^d$-valued random variables, $h:\mathbb{R}^d\rightarrow\mathbb{R}^d$ is a Lipschitz
continuous drift function and $\left\{M_{n}\right\}_{n\geq1}$ is a sequence of $\mathbb{R}^d$-valued random variables which denote the additive noise
terms. In \cite{benaim2}, it was shown th... |
{'timestamp': '2016-07-19T02:05:12', 'yymm': '1607', 'arxiv_id': '1607.04785', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04785'} | arxiv | \section{Introduction}
Let $d\geq 3$ and let $G(n,d)$ denote the random $d$-regular graph on $n$ vertices (see e.g.\ the monograph \cite{bollobas}). Equivalently, we can think of $G(n,d)$ as a rando | m model of symmetric $0-1$ matrices in which the row sums are conditioned to be $d$. It is expected that the spectral properties of $G(n,d)$ are closely related to random matrix theory; however, many questions in the area are still open. It is well known that the spectral measure of $G(n,d)$ converges to the so called ... |
{'timestamp': '2018-05-10T02:05:43', 'yymm': '1607', 'arxiv_id': '1607.04550', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04550'} | arxiv | \section{Introduction}
\subsection{Introduction}
The Fisher--Rao metric on the space $\on{Prob}(M)$ of probability densities is invariant under the action of the diffeomorphism group $\on{Diff}(M)$.
| Restricted to finite-dimensional submanifolds of $\on{Prob}(M)$,
so-called statistical manifolds, it is called Fisher's information metric \cite{Ama1985}.
A uniqueness result was established \cite[p. 156]{Cen1982} for Fisher's information
metric on finite sample spaces and \cite{AJLS2014} extended it to infinite sam... |
{'timestamp': '2016-08-19T02:07:22', 'yymm': '1607', 'arxiv_id': '1607.04641', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04641'} | arxiv | \section{Introduction}
Galaxy clusters are the largest virialized structures in the Universe and form
via aggregation of less massive systems \citep[e.g.][]{press74}. During merger
events, the intr | a-cluster medium (ICM) is heated by shocks and is believed to
become turbulent. Part of the energy involved in these processes is converted
into non-thermal phenomena that exhibit themselves in the radio band as
halo and relic emissions \citep[e.g.][for a review]{brunetti14rev}. Both radio
sources are diffuse clust... |
{'timestamp': '2016-07-19T02:00:32', 'yymm': '1607', 'arxiv_id': '1607.04656', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04656'} | arxiv | \section{Introduction}
Adaptation is often viewed as a cumulative succession of fixations of beneficial mutations, and the waiting time between two successive beneficial mutations is viewed as one | of the main factor limiting adaptation rate \citep{fisher1930, crowkimura1965}. This is however not true in general since several beneficial mutations can compete in a single population, which generates different interference phenomena, such as the Muller's ratchet \citep{muller32, muller64} or more generally Hill-Rob... |
{'timestamp': '2016-10-25T02:07:57', 'yymm': '1607', 'arxiv_id': '1607.04590', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04590'} | arxiv | \section{Introduction}
\subsection{Overview}
Distributing points on $\mathbb{S}^2:=\left\{x\in\mathbb{R}^3 : \ |x|=1\right\}$ is a classical problem arising in many settings in numerical analysis and | approximation theory, in particular the study of radial basis functions, quadrature and polynomial interpolation, Quasi-Monte Carlo methods for graphics applications, finite element methods for PDE's, cosmic microwave background radiation modeling, crystallography and viral morphology, to name a few. The goal of this p... |
{'timestamp': '2016-07-18T02:07:51', 'yymm': '1607', 'arxiv_id': '1607.04546', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04546'} | arxiv | \section{Introduction}
The problem of finding the best packings of lines, one-dimensional subspaces of a real or complex Euclidean space, is easy to state. Despite its simple geometric formulation, i | t has given rise to a surprisingly diverse literature over many years,
ranging from relatively elementary, low dimensional examples \cite{Haantjes1948} to more sophisticated constructions \cite{ConwayHardinSloane1996}, some
involving combinatorial \cite{vanLintSeidel1966,LemmensSeidel1973,Neumaier1989} or group-theore... |
{'timestamp': '2018-01-17T02:06:19', 'yymm': '1607', 'arxiv_id': '1607.04849', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04849'} | arxiv |
\section{Error Probability Bound}\label{appendix:APPENDIX A}
In this section, we give a direct proof for \Cref{direct lemma1}. Specifically, we bound the error probability of the maximum likelihood d | ecoder, and show that under the condition on $T$ in the lemma, the error probability is indeed approaching $0$ as $N \to \infty$.
Under the assumption that all items are equality likely to be defective, we consider the error probability given that the first $K$ items are defective, that is, \revisedSr{$S_{w=1}$} is th... |
{'timestamp': '2016-11-23T02:02:10', 'yymm': '1607', 'arxiv_id': '1607.04924', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04924'} | arxiv | \section{Introduction}
Distinct from conventional phase transitions driven by spontaneous symmetry breaking,
Lifshitz phase transition is driven by an abrupt change of the topology
of the Fermi s | urface~\cite{Lifshitz}. Recently, it has been predicted in three-dimensional (3D)
condensed matter materials that type-I Weyl fermions (i.e., Weyl points)~\cite{volovik,Murakami2007NJP,Wan2011prb,Vafek2014}
can transition to type-II~\cite{Soluyanov2015Nature} (or called structured Weyl points~\cite{Yong2015PRL}) thro... |
{'timestamp': '2016-11-03T01:01:56', 'yymm': '1607', 'arxiv_id': '1607.04644', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04644'} | arxiv | \section{Introduction \label{introd}}
Strong lensing
provides a useful tool to uncover the mass distribution in
galaxies \citep[e.g.,][]{0004-637X-575-1-87,2002MNRAS.337L...6T,2006ApJ...649..599K | }
and galaxy clusters \citep[e.g.,][]{1989ApJ...337..621K,1998MNRAS.294..734A,2007MNRAS.376..180N,2010AdAst2010E...9Z,2010ApJ...715L.160C,2010ApJ...723.1678C}.
Gravitational arcs have also been used to constrain the background cosmological model
\citep[e.g.,][]{1998A&A...330....1B,1999A&A...341..653C,2002A&A...387..78... |
{'timestamp': '2016-07-19T02:04:00', 'yymm': '1607', 'arxiv_id': '1607.04738', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04738'} | arxiv | \section*{\bf $\Psi_k$ Scientific Highlight Of The Month}
\newcommand{\ensuremath\mathrm{d}}{\ensuremath\mathrm{d}}
\begin{center}
{\large \bf Towards a Common Format for Computational Material Scienc | e Data}
{Luca M. Ghiringhelli$^{1,}$\footnote{ghiringhelli@fhi-berlin.mpg.de},
Christian Carbogno$^{1}$,
Sergey Levchenko$^{1}$,
Fawzi Mohamed$^{1}$,
Georg Huhs$^{2,3}$,
Martin L\"{u}ders$^{4}$,
Micael Oliveira$^{5,6,}$\footnote{mjt.oliveira@ulg.ac.be},
and Matthias Scheffler$^{1,7}
}
{\small $^1$Fritz Haber Instit... |
{'timestamp': '2016-08-02T02:09:19', 'yymm': '1607', 'arxiv_id': '1607.04801', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04801'} | arxiv | \section{Introduction}
Let $T$ be a bounded operator on a complex Hilbert space $\mathcal{H}$. Then $T$ is called complex symmetric if there exists a conjugation $C$ such that $T=CT^*C$. Here a con | jugation is a conjugate-linear, isometric involution on $\mathcal{H}$. The operator $T$ may also be called $C$-symmetric if $T$ is complex symmetric with respect to a specifical conjugation $C$. For more details about complex symmetric operators one may turn to \cite{CS1} and \cite{Cs2}.
In this paper, we are partic... |
{'timestamp': '2016-07-19T02:09:36', 'yymm': '1607', 'arxiv_id': '1607.04927', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04927'} | arxiv | \section{Introduction}
This paper explores Tur\'{a}n-type problems for a class of relational structures that can each be thought of as generalized directed hypergraphs. This class includes the standa | rd undirected $r$-uniform hypergraphs that have been extensively studied in combinatorics as well as totally directed $r$-uniform hypergraphs where each edge is a set of $r$ vertices under a linear ordering. Instances of this latter structure have been studied in the extremal setting by Erd\H{o}s, Brown, Simonovits, Ha... |
{'timestamp': '2016-07-19T02:07:15', 'yymm': '1607', 'arxiv_id': '1607.04861', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04861'} | arxiv | \section{Motivation}
Understanding of the analytic structure of the contribution of a graph to a Feynman amplitude, a time-honored problem \cite{Pham},
is related to an analysis of
its reduced graphs | and the graphs in which internal edges are on the mass-shell. The former case relates to graphs in which internal edges shrink. The latter case relates to graphs with cut edges. The set of cut edges is uniquely determined by the choice of a spanning forest for the graph:
such a spanning forest defines a unique set of ... |
{'timestamp': '2016-09-12T02:04:24', 'yymm': '1607', 'arxiv_id': '1607.04850', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04850'} | arxiv | \section{Introduction}
Let $\lambda_1,\ldots,\lambda_n$ be $n$ distinct values. The Lagrange interpolation formula says that a polynomial $P(x)$ of degree not greater than $n-1$ in one variable can b | e written in the following:
$$P(x) = \sum_{i=1}^nP(\lambda_i)L_i(x),$$
where
$$L_i(x) = \prod_{j\neq i}\frac{x-\lambda_j}{\lambda_i-\lambda_j}.$$
This formula not only provides a means of polynomial approximation, but also plays a significant role in establishing combinatorial identities in many variables including id... |
{'timestamp': '2016-07-19T02:05:44', 'yymm': '1607', 'arxiv_id': '1607.04808', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04808'} | arxiv |
\section*{Abstract}
We present a spectrally accurate method for the rapid evaluation of free-space Stokes
potentials, i.e. sums involving a large number of free space Green's
functions. We consider s | ums involving stokeslets, stresslets and
rotlets that appear in boundary integral methods and potential methods for solving Stokes
equations.
The method combines the framework of the Spectral Ewald method for
periodic problems \cite{Lindbo2010}, with a very recent approach to solving the
free-space harmonic and biharmo... |
{'timestamp': '2016-09-26T02:01:24', 'yymm': '1607', 'arxiv_id': '1607.04835', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04835'} | arxiv | \section{Introduction}
The Aubry-Andr\' e-Harper (AAH) model has been extensively used as a quasiperiodic model to theoretically study the phase transition between extended, critical and localized ph | ases \cite{Harper, Aubry, Hiramoto1, Ostlund, Kohmoto1, Kohmoto2, Thouless, Hiramoto2, Geisel, Han, Chang, Takada, Liu, Wang}. With the realization of the AAH model in photonic crystals \cite{Negro, Lahini, Kraus1} and ultracold atoms \cite{Roati, Modugno}, this model has gained attention in recent years. The abundant ... |
{'timestamp': '2016-07-19T02:01:52', 'yymm': '1607', 'arxiv_id': '1607.04675', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04675'} | arxiv |
\section*{Results}
\begin{figure}
\includegraphics[width=80mm]{figures/fig2_simulated_errors.eps}
\caption{\label{fig:simErr} Actual and estimated errors in simulated
data. (a) Root mean square | (RMS) error
$\sqrt{\mean{(\mu_\text{est.}-\mu_\text{true})^2}}$ vs.~root mean
estimated error variance $\sqrt{\mean{\varepsilon^2}}$ for MLE
localization from the CRLB and Laplace approximations. (b) PSF
width prior and fitted parameter distributions with (MAP) and
without (MLE) prior. (c) Actual and estimat... |
{'timestamp': '2016-07-19T02:03:59', 'yymm': '1607', 'arxiv_id': '1607.04737', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04737'} | arxiv | \section{introduction}
At the outset, we fix the probability space $(\Omega,\Sigma,\mathbf{P})$ and
define the random vector (r.v.) $\mathcal{X}\ni\mathbf{X}=(X_1,\ldots,X_n)'$ as a map from
$(\Ome | ga,\Sigma)$ to the $n(\in\mathbf{N})$-dimensional Borel space
$(\mathbf{R}_+^n,\mathcal{B}(\mathbf{R}_+^n))$. The cumulative distribution
function (c.d.f.) of $\mathbf{X}$ is in the sequel denoted by
$F_{1,\ldots,n}(x_1,\ldots,x_n):=\mathbf{P}[X_1\leq x_1,\ldots,X_n\leq x_n]$, and
the corresponding probability dens... |
{'timestamp': '2016-07-26T02:11:48', 'yymm': '1607', 'arxiv_id': '1607.04907', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04907'} | arxiv | \section{Introduction}
Humanoid robots have been widely studied in the research of robotics.
With the recent development of motion capture devices such as RGB-D camera
(e.g., Kinect) and wearable sen | sor system (e.g., Xsens MVN), efforts have
been made to generate human-like motions for humanoid robots with high degree-of-freedoms.
However, directly applying captured poses of human to humanoids
is difficult because of the difference in human's and humanoid's kinematics. Therefore, a variety
of kinematics based ap... |
{'timestamp': '2016-07-18T02:07:21', 'yymm': '1607', 'arxiv_id': '1607.04515', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04515'} | arxiv | \section{Introduction}
Structure-from-Motion targets at recovering 3D structure and camera motion from monocular 2D feature tracks. Conventional SFM primarily concerns with the 3D reconstruction of a | single rigidly moving object seen by a static camera, or a static and rigid scene observed by a moving camera --in both cases there are only one relative rigid motion involved. SFM has been extended to the areas of {\em multi-body} SFM, as well as {\em single body} {non-rigid SFM} (see Table.\ref{tab:summary} for a cla... |
{'timestamp': '2016-09-22T02:06:48', 'yymm': '1607', 'arxiv_id': '1607.04570', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04570'} | arxiv |
\section{Numerical simulations of the quantum dynamics and the associated transient-absorption spectra}
\label{Equations of motion and transient-absorption spectra}
\setcounter{equation}{0}
We mode | l Rb atoms as three- or five-level systems, as shown in Fig.~2(b) in the article. We consider a quantum system in the state $|\psi(t)\rangle = \hat{\mathcal{U}}(t,t_0)|\psi(t_0)\rangle$, where the evolution operator $\hat{\mathcal{U}}(t,t_0)$, describing the dynamics from $t_0$ to $t$, is solution of the Schr\"odinger ... |
{'timestamp': '2016-07-19T02:00:40', 'yymm': '1607', 'arxiv_id': '1607.04663', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04663'} | arxiv |
\section{Proof-of-Concept Applications}
This paper demonstrates backscatter communication on commodity devices, and in this section we evaluate prototypes of three novel applications enabled by thes | e techniques. We evaluate only the communication aspect of our prototypes and consider fully exploring their security and usability issues outside the of scope of this work.
\subsection{Smart Contact Lens}
Smart contact lens systems~\cite{liao20123,yao2012contact} measure biomarkers like glucose, cholesterol and sodi... |
{'timestamp': '2016-07-19T02:03:41', 'yymm': '1607', 'arxiv_id': '1607.04729', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04729'} | arxiv | \section{Introduction}
The rapid growth of mobile wireless applications and consumers
continues to strain the limited cellular network capacity and has motivated the exploration of next generation | 5G wireless networks.
The mobile industry predicts a $1000$x data
traffic growth by 2020. To meet this anticipated data growth demand, both industry and academia are exploring various
advanced solutions to boosting network capacity while continually providing high-level user experience to wireless customers.
One n... |
{'timestamp': '2016-09-15T02:01:06', 'yymm': '1607', 'arxiv_id': '1607.04870', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04870'} | arxiv | \section{Introduction}\label{sec-intro}
In this paper we introduce a new higher categorical structure, called a weakly globular Tamsamani $n$-category and we prove its equivalence with a simpler hi | gher categorical structure introduced by the author in \cite{Pa2}, called a weakly globular $n$-fold category.
Higher category theory witnessed an explosion of interest in recent years and found applications to disparate fields, such as homotopy theory \cite{Be2} \cite{L2}, algebraic geometry \cite{Simp}, mathematic... |
{'timestamp': '2016-07-18T02:08:19', 'yymm': '1607', 'arxiv_id': '1607.04567', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04567'} | arxiv | \section{INTRODUCTION}
\label{sec:intro}
A period of accelerated exponential expansion in the early Universe,
while a radical extrapolation from understood physics, naturally
solves the flatness, ho | rizon, and monopole problems of standard
cosmology\cite{planck_p15xx_15}. This inflationary period also
explains the origin of structure by stretching quantum fluctuations to
macroscopic scales. Inflation predicts perturbations to the metric in
both scalars (density waves) and tensors (gravitational waves). Both
typ... |
{'timestamp': '2017-02-16T02:04:50', 'yymm': '1607', 'arxiv_id': '1607.04536', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04536'} | arxiv | \section{Introduction}\label{secIntr}
Understanding the nature and structure of the excited states of the
nucleon is a key contemporary problem in QCD. The Roper resonance,
$N^*(1440)$, was first de | duced from the analysis of $\pi N$ phase shifts
in 1963 \cite{Roper1964}. However, its structure and nature have
aroused interest ever since \cite{Aznauryan2008,Joo2005}; it is lighter than the first odd-parity
nucleon excitation, $N^*(1535)$, and has a significant branching ratio
into $N\pi\pi$. Although it is recogn... |
{'timestamp': '2016-07-19T02:07:22', 'yymm': '1607', 'arxiv_id': '1607.04873', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04873'} | arxiv | \section{Introduction and results} \label{sec:Intro}
Consider an $n$-variate polynomial of degree at most $d$:
\[ p=\sum_{|\alpha| \le d} c_{\alpha} x^{\alpha} \]
where $x:=(x_1,\ldots,x_n)$, $\alp | ha \in \ZZ_{\ge 0}^n$,
$|\alpha|:=\sum_i \alpha_i$, $x^{\alpha}:=\prod_i x_i^{\alpha_i}$,
and where each coefficient $c_\alpha$ is taken from a ground field $K$.
A {\em determinantal representation} of $p$ is an $N \times N$-matrix $M$
of the form
\[ M=A_0 + \sum_{i=1}^n x_i A_i, \]
where each $A_i \in K^{N \time... |
{'timestamp': '2016-11-23T02:05:55', 'yymm': '1607', 'arxiv_id': '1607.04572', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04572'} | arxiv | \section{Introduction}
The dynamics of electrolytic solutions is essential in the description of most most processes in (bio)chemistry and soft matter physics.
This includes electrostatic screening v | ia the formation of double layers, electro-osmotic flow\cite{anderson89a,paxton06a,ibele07a,reinmuller12a}, electrophoresis\cite{obrien78a,smoluchowski17a,hueckel24a,henry31a}, and self-electrophoresis\cite{paxton04a,moran11a,moran14a,brown14a,ebbens14a,sabass12b,brown15a}.
Industrial applications range from DNA sequen... |
{'timestamp': '2018-01-31T02:06:13', 'yymm': '1607', 'arxiv_id': '1607.04777', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04777'} | arxiv | \section{Introduction}
Unless stated otherwise, the graphs considered in this paper are simple, loopless and finite. A \emph{homomorphism} $h$ of a graph $G$ to a graph $H$ is a mapping $h:V(G)\to V(H | )$ such that adjacency is preserved by $h$, that is, the images of two adjacent vertices of $G$ must be adjacent in $H$. If such a mapping exists, we note $G\to H$. For a fixed graph $H$, given an input graph $G$, the decision problem \PBCOL{$H$} (whose name is derived from the proximity of the problem to proper vertex... |
{'timestamp': '2016-09-09T02:00:35', 'yymm': '1607', 'arxiv_id': '1607.04687', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04687'} | arxiv | \section{Introduction}
A major goal of planetary exploration is to obtain a fundamental understanding
of planetary environments, both as they are currently and as they were in the past.
This knowled | ge
can be used to explore the questions of (a) how conditions for planetary habitability
arose and (b) the origins of life. Titan is a unique object of study in this quest. Other
than Earth itself, and Pluto \citep[which has also been observed to have
photochemically produced haze;][]{stern15,gladstone16},
Titan is ... |
{'timestamp': '2017-03-29T02:05:32', 'yymm': '1607', 'arxiv_id': '1607.04702', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04702'} | arxiv | \section{Introduction}
The present paper concerns a time operator in quantum theory which is
defined, in a first stage of cognition, as a symmetric operator canonically conjugate to a Hamiltonia | n if it exists.
The uncertainty relation which is derived from the canonical commutation relation of a time operator and a Hamiltonian may be
interpreted as a mathematically rigorous form of {\em time-energy uncertainty relation}.
Moreover time operators may play important roles in quantum phenomena \cite{miy01,ara05... |
{'timestamp': '2016-07-18T02:09:05', 'yymm': '1607', 'arxiv_id': '1607.04601', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04601'} | arxiv | \section{Introduction}
Since 1981, inferring the main excitation sources of galaxies generally relies on diagrams involving emission line ratios \citep*{Baldwin1981,Veilleux1987}, the most widely use | d diagram being $\ifmmode [\text{O}\,\textsc{iii}] \else [O~{\scshape iii}]\fi\xspace/\ifmmode \text{H}\beta \else H$\beta$\fi\xspace$ versus $\ifmmode [\text{N}\,\textsc{ii}] \else [N~{\scshape ii}]\fi\xspace/\ifmmode \text{H}\alpha \else H$\alpha$\fi\xspace$\footnote{Throughout this work we will use the denomination ... |
{'timestamp': '2016-07-19T02:04:39', 'yymm': '1607', 'arxiv_id': '1607.04748', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04748'} | arxiv | \section{Introduction}\label{se:intro}
In this paper, we consider mixed integer minimization problem as follows:
\begin{equation}\label{p:primal}
(\mathcal{P}_b):~~~~\min \{P(x,v)= Q(x)+W(x)- | f^Tv~|~(x,v)\in \x_v\}
\end{equation}
where $Q(x)=\frac{1}{2}x^T A x-c^Tx$, $W(x)= \frac{1}{2}\lpa\frac{1}{2}x^T B x-\alpha \rpa^2$, $ A\in\mathbb{R}^{n\times n}$ is a symmetric matrix and $ B\in\mathbb{R}^{n\times n}$ is a symmetric positive semi-definite matrix, $\alpha>0$ is a real number, $c,f\in \mathbb{R}^n$ a... |
{'timestamp': '2016-12-20T02:01:13', 'yymm': '1607', 'arxiv_id': '1607.04683', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04683'} | arxiv |
\subsection{LSTM Equations}
\input{lstm_equations}
\subsection{Parameter reduction}
\label{subsec:am_parameter_reduction}
In order to reduce memory consumption and computation, we compress the previ | ously described acoustic model using projection layers that sit between the outputs of an LSTM layer and both the recurrent and non-recurrent inputs to same and subsequent layers~\cite{SakSeniorBeaufays14}. In our system, we introduce projection matrices of rank 100 for the first four layers, and a projection matrix of... |
{'timestamp': '2016-07-20T02:11:16', 'yymm': '1607', 'arxiv_id': '1607.04889', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04889'} | arxiv | \section{Introduction}
\IEEEPARstart
{T}{he} latest advantages in deep learning technologies has led to explosive growth in machine learning and computer vision for building systems that have shown si | gnificant improvements in a huge range of applications such as image classification \cite{krizhevsky2012imagenet}, \cite{vggnet} and object detection \cite{girshick2015fast}. The fully convolutional neural networks (FCN) \cite{long2015fully} permit end-to-end training and testing for image labeling; holistically-neste... |
{'timestamp': '2016-07-19T02:05:17', 'yymm': '1607', 'arxiv_id': '1607.04786', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04786'} | arxiv | \section{Introduction}
Multifractal analysis is the study of the concentration of a measure on level sets. In particular, we use measures for a hyperbolic map to study the multifractal spectrum. Mu | ltifractal analysts historically modeled an expanding map with a finite state shift. Their main result is the expression of the multifractal spectrum, which is concave and analytic. However, the multifractal spectrum is not analytic everywhere in the case of countable state Markov shifts. Iommi \cite{iommi2005multif... |
{'timestamp': '2016-07-19T02:07:23', 'yymm': '1607', 'arxiv_id': '1607.04874', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04874'} | arxiv | \section{Introduction}
Modified gravity theories may provide an attractive alternative to the standard explanations of the present day observations that have shaken the well-established foundations | of the theoretical physics. Astronomical observations have confirmed that our Universe does not according to standard general relativity, as derived from the Hilbert-Einstein action, $S=\int{\left(-R/2\kappa ^2+L_m\right)\sqrt{-g}d^4x}$, where $R$ is the Ricci scalar, $\kappa $ is the gravitational coupling constant,... |
{'timestamp': '2016-07-19T02:05:21', 'yymm': '1607', 'arxiv_id': '1607.04790', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04790'} | arxiv |
\section{Stronger Hypotheses}\label{sec_StrongerHypotheses}
In this section we shall prove Theorems \ref{thm_MainTheorem_two},\ref{thm_MainTheorem_three} and \ref{thm_MainTheorem_four}. Let us star | t with Theorem \ref{thm_MainTheorem_two}. Let $l$,$m$,$\<S_n : n > m + 1\>$, $\<n_k: k < \omega\>$ be as in its statement. As before we can find a stationary set $T$ of $X \subseteq H_{\aleph_\omega}$ s.t $\sup(X \cap \aleph_n) \in S_n$ for all $n > m + 1$ and in the coiteration of $K_X$ with $K$, which we can assume t... |
{'timestamp': '2016-08-09T02:00:58', 'yymm': '1607', 'arxiv_id': '1607.04822', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04822'} | arxiv |
\section{Conclusion}
\label{sec:conclusion}
We have described \sys, a system for proving equivalence of SQL
rewrite rules. In support of \sys, we defined a formal language \sem,
following closely S | QL's syntax. Our semantics extends that of SQL
from finite relations to infinite relations, and uses univalent types
from Homotopy Type Theory to represent and prove equality of cardinal
numbers (finite and infinite). We have demonstrated the power and
flexibility of \sys by proving the correctness of several powerfu... |
{'timestamp': '2016-07-19T02:05:21', 'yymm': '1607', 'arxiv_id': '1607.04789', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04789'} | arxiv | \section{Introduction}
\paragraph{\bf Hard lattice problems.} Lattices are discrete subgroups of $\mathbb{R}^d$. More concretely, given a basis $B = \{\vc{b}_1, \dots, \vc{b}_d\} \subset \mathbb{R}^d | $, the lattice $\mathcal{L} = \mathcal{L}(B)$ generated by $B$ is defined as $\mathcal{L}(B) = \left\{\sum_{i=1}^d \lambda_i \vc{b}_i: \lambda_i \in \mathbb{Z}\right\}$. Given a basis of a lattice $\mathcal{L}$, the Shortest Vector Problem (SVP) asks to find a shortest non-zero vector in $\mathcal{L}$ under the Euclide... |
{'timestamp': '2016-09-22T02:02:41', 'yymm': '1607', 'arxiv_id': '1607.04856', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04856'} | arxiv | \section{Introduction}
Exciton mediated many-body interactions give rise to a host of physical effects \cite{qiu2016screening,sahin2016computing,cudazzo2016exciton}
that determine the opto-el | ectronic properties
of low dimensional transition metal dichalcogenides, MX$_2$
(M = Mo, W, Nb and X = S, Se) \cite{scharf2016probing,rama,ugeda2014giant,wang2012electronics,makatom,qiu2013,
splen,komsa2012effects,kormanyos2013monolayer},
with important consequences for fundamental and applied research.
The confi... |
{'timestamp': '2016-07-19T02:04:54', 'yymm': '1607', 'arxiv_id': '1607.04766', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04766'} | arxiv | \section{A letter from Saratov} \label{story}
During his last trip to Moscow, the second author of this article came into possession of a remarkable mathematical letter. The custodian of the letter, | a Russian businessman X who wished to remain anonymous,
presented the letter to Tabachnikov at the end of his lecture on configuration theorems in projective geometry \cite{ST} (like many successful contemporary Russian entrepreneurs, Mr. X has a degree in mathematics).
Mr. X explained that the letter had been writ... |
{'timestamp': '2016-07-18T02:07:39', 'yymm': '1607', 'arxiv_id': '1607.04533', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04533'} | arxiv |
\section{Introduction}
\label{sec:intro}
\begin{figure}
\begin{center}
\begin{tabular}{c}
\includegraphics[width=10cm]{img/AGN_spectra.pdf}
\end{tabular}
\end{center}
\caption{\label{fig:s | y1_2} A spectrum of a Seyfert 1 galaxy (blue) and a Seyfert 2 galaxy (red) taken with the VLT/X-SHOOTER instrument as part of the LLAMA survey\cite{davies2015}. Both AGN types show narrow permitted and forbidden emission lines, but only the type 1 AGN also has broad permitted lines and a strong blue continuum. The sub-... |
{'timestamp': '2016-07-19T02:02:25', 'yymm': '1607', 'arxiv_id': '1607.04694', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04694'} | arxiv | \section{Introduction}
The idea of optimally controlling the dynamical behavior of microsystems described by quantum mechanics has been an explicit dream for more than $50$ years \cite{Warren1993}. A | mong all the approaches to solving the resulting optimization problems, model-based optimal control relies on computer simulations of quantum dynamics and numerical optimization algorithms \cite{Schirmer2011}. The early attempt to seek the counterpart of the classical optimal control theory in quantum systems may be tr... |
{'timestamp': '2016-08-10T02:06:59', 'yymm': '1607', 'arxiv_id': '1607.04586', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04586'} | arxiv | \section{Introduction}\label{SEC:intro}
Let $p$ be a prime and let $G$ be a torsion-free abelian group.
The subject of this work is the group $Hom (G,\mathbb{Z}_p)$ of $p$-adic functionals on $G$. |
This group is viewed as a $p$-adic dual of $G$, and is studied using the techniques of functional analysis.
This is a novel approach that adds clarity to a difficult area of study.
To emphasize this approach, the notation $G^{*p}$ is used instead of $Hom (G,\mathbb{Z}_p)$.
It is shown that an analogue of the H... |
{'timestamp': '2017-01-23T02:03:03', 'yymm': '1607', 'arxiv_id': '1607.04826', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04826'} | arxiv | \section{Introduction}\label{sec1}
Let $\mathbb{Z}$ be a finite dimensional vector space, and $\mathbb{R}^{m\times n}$ be
the vector space of all $m\!\times\!n$ real matrices equipped with the | trace inner product
$\langle \cdot,\cdot\rangle$ and its induced norm $\|\cdot\|_F$. Denote by $\|X\|_*$
the nuclear norm of a matrix $X\in\mathbb{R}^{m\times n}$, i.e., the sum of all singular
values of $X$, and by $\|X\|$ the spectral norm of $X$. Consider the following optimization problem
\begin{equati... |
{'timestamp': '2016-07-19T02:05:10', 'yymm': '1607', 'arxiv_id': '1607.04780', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04780'} | arxiv | \section{Introduction}
Nowadays, millions of videos are being uploaded to the Internet every day. These videos capture all aspects of multimedia content about their uploader's daily life. These explo | sively growing user generated content videos online are becoming an crucial source of video data. Automatically categorizing videos into concepts, such as people actions, objects, etc., has become an important research topic. Recently many work have been proposed to tackle with building concept detectors both in image ... |
{'timestamp': '2016-09-08T02:03:32', 'yymm': '1607', 'arxiv_id': '1607.04802', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04802'} | arxiv | \section*{Introduction}
The minimum energy required to reset one bit of information represents one of the fundamental limits of computation arising when one bit of information is erased or destroyed. | Starting with a system encoding two possible states with the same probability and finishing the procedure with only one possible state, the variation of entropy in the system is equal to the difference of entropy between the final state and the initial one, $\Delta S = k_\textnormal{B} \ln 1 - k_\textnormal{B} \ln 2 = ... |
{'timestamp': '2018-06-20T02:09:57', 'yymm': '1607', 'arxiv_id': '1607.04611', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04611'} | arxiv | \section{Introduction} \label{sec-intro}
In this paper we study sublanguages of Plotkin's functional programming language ${\mathrm{PCF}}$,
which we here take to be the simply typed $\lambda$-calcul | us over a single base type $\nat$,
with constants
\[ \begin{array}{rlcrl}
\num{n} & : \nat \mbox{~~for each $n \in \mathbb{N}$} \;, & &
{\mathit{suc}},{\mathit{pre}} & : \nat\rightarrow\nat \;, \\
{\mathit{ifzero}} & : \nat\rightarrow\nat\rightarrow\nat\rightarrow\nat \;, & &
Y_\sigma & : (\sigma\rightarrow\sigma)\rig... |
{'timestamp': '2016-07-19T02:02:10', 'yymm': '1607', 'arxiv_id': '1607.04684', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04684'} | arxiv | \section{Introduction}
In the conference, I talked about
the Hodge theoretic aspect of injectivity and
vanishing theorems (see \cite{fujino1}, \cite{fujino2},
and \cite{fujino3}).
Here, I will ex | plain some analytic generalizations.
In \cite{fujino-matsumura}, Shin-ichi Matsumura and I
established the
following theorems.
\begin{thm}[{\cite[Theorem A]{fujino-matsumura}}]\label{f-thm1}
Let $F$ be a holomorphic line bundle
on a compact K\"ahler manifold $X$ and let $h$ be a singular
hermitian metric on $F$.... |
{'timestamp': '2017-01-30T02:05:13', 'yymm': '1607', 'arxiv_id': '1607.04631', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04631'} | arxiv | \section{Introduction}
In this note, we study the area of a minimal submanifold in the unit ball in $\mathbb{R}^n$. For a minimal submanifold $\Sigma$ that passes through the center of the ball, it | is well-known that the area of $\Sigma$ is bounded from below by the area of a flat $k$-dimensional disk:
\begin{theorem}
\label{consequence.of.monotonicity}
Let $\Sigma$ be a $k$-dimensional minimal submanifold in the unit ball $B^n$ which passes through the origin and satisfies $\partial \Sigma \subset \partial B^n... |
{'timestamp': '2016-07-19T02:12:54', 'yymm': '1607', 'arxiv_id': '1607.04542', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04542'} | arxiv | \section{Introduction}
In this paper we study bounds for the density of a diffusion process at a small time under a local strong H\"ormander condition. To be more precise, let $X$ denote the process i | n ${\mathbb R}^n$ solution to
\be{equation-intro}
dX_{t}=\sum_{j=1}^{d}\sigma
_{j}(t,X_{t})\circ dW_{t}^{j}+b(t,X_{t})dt,\quad \quad X_0=x_0.
\end{equation}
where $W=(W^{1},...,W^{d})$ is a standard Brownian motion and $\circ
dW_{t}^{j} $ denotes the Stratonovich integral.
We assume nice differentiability and boundedne... |
{'timestamp': '2016-07-18T02:09:01', 'yymm': '1607', 'arxiv_id': '1607.04598', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04598'} | arxiv | \section{Introduction}
Models of the nonlinear Schr{\"o}dinger (NLS)
type~\cite{sulem,ablowitz,siambook}
have proven to be rather universal in describing envelope
nonlinear wave structures in dispers | ive media. Such
structures emerge in fields ranging from water waves
and
nonlinear optics~\cite{kivshar} to plasmas~\cite{infeld}
and atomic Bose-Einstein
condensates (BECs)~\cite{emergent}.
A particularly interesting setting, recognized early
on (i.e., since the 1970's) in nonlinear optics in the context of
interacti... |
{'timestamp': '2016-12-26T02:05:25', 'yymm': '1607', 'arxiv_id': '1607.04626', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04626'} | arxiv | \section{Introduction}
\subsection{Bloch functions} Let $\D$ be the unit disk in the complex plane and $\vp$ an analytic function defined in $\D$. We say that $\vp$ is a \emph{Bloch function} if
\ | be \label{Bloch}
\beta(\vp) = \sup_{z\in\D}(1-|z|^2)|\varphi'(z)|<\infty.
\ee
This defines a seminorm, and the Banach space $\cB$ of all Bloch functions equipped with the norm $\|\varphi\|_\mathcal B = |\varphi(0)|+\beta(\vp) $ is called \emph{Bloch space}. We refer to \cite{ACP}, \cite{Da}, \cite{Po70}, \cite{Pom},... |
{'timestamp': '2017-11-16T02:04:49', 'yymm': '1607', 'arxiv_id': '1607.04730', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04730'} | arxiv | \section{Introduction}
\label{sec:intro}
As a key part of the human visual system, visual attention mechanisms filter irrelevant visual stimuli in order to focus more on the important parts. Computat | ional models of attention try to mimic this process through the use of machines and algorithms. These models have gained increasing attention lately. The reason behind this growing interest lies in their use in different computer vision and multimedia problems including but not limited to image retrieval~\cite{5730497}... |
{'timestamp': '2016-07-19T02:08:06', 'yymm': '1607', 'arxiv_id': '1607.04896', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04896'} | arxiv | \section{\label{sec:level1}First-level heading:\protect\\ The line
Tunnel field-effect transistor (TFET), a promising replacement of classical metal-oxide-semiconductor field-effect transistor (MOSFE | T) for future low-power integrated circuits, has been intensively studied over a decade. The advantages of TFET come from its steep subthreshold swing (SS) that overcomes the 60mV/dec limit of a conventional MOSFET, allowing substantial supply voltage ($V_{\rm{DD}}$) scaling \cite{ionescu2011tunnel}. However, because o... |
{'timestamp': '2016-10-03T02:05:04', 'yymm': '1607', 'arxiv_id': '1607.04793', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04793'} | arxiv | \section{INTRODUCTION}
In recent years deep learning methods have demonstrated significant improvements in various tasks. These methods outperform human-level object detection in some tasks \cite{resn | et}, and achieve state-of-the-art results in machine translation \cite{nmt} and speech processing \cite{graves2013speech}. Additionally, deep learning combined with reinforcement learning techniques was able to beat human champions in challenging games such as Go \cite{d_silver}. There are three different reasons for t... |
{'timestamp': '2016-07-19T02:10:20', 'yymm': '1607', 'arxiv_id': '1607.04613', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04613'} | arxiv | \section{Introduction}\label{sec:intro}
Microquasars are X-ray binaries that exhibit spatially resolved, extended radio emission. The nomenclature is motivated by a structural similarity with the qua | sar family of active galactic nuclei (AGN). Both object classes are believed to comprise a compact central object embedded in a flow of accreting material, and both exhibit relativistic, collimated jets. In the current paradigm, both microquasars and AGN derive their power from the gravitational potential energy that i... |
{'timestamp': '2016-07-20T02:06:21', 'yymm': '1607', 'arxiv_id': '1607.04867', 'language': 'en', 'url': 'https://arxiv.org/abs/1607.04867'} | arxiv | \section{Introduction}
Human Activity Recognition (HAR) is the understanding of human behaviour from data captured by pervasive sensors, such as cameras or wearable devices. It is a powerful tool in m | edical application areas, where consistent and continuous patient monitoring can be insightful. Wearable devices provide an unobtrusive platform for such monitoring, and due to their increasing market penetration, feel intrinsic to the user. This daily integration into a user's life is crucial for increasing the unders... |
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