meta stringlengths 97 612 | red_pajama_subset stringclasses 4
values | prompt stringlengths 1 200 | answer stringlengths 0 518k |
|---|---|---|---|
{'timestamp': '2022-03-07T02:00:59', 'yymm': '2203', 'arxiv_id': '2203.01962', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01962'} | arxiv | \section{Introduction}
\label{sec:intro}
Quantum antiferromagnetism has been a topic of intense study for many decades, and has led to many new insights into quantum many-body phenomenon. In particula | r, a new class of quantum phases, known as \textit{quantum spin liquids} (QSLs) \cite{Anderson1973, Zhou2017, Savary2016}, are predicted to emerge in certain parameter regimes of antiferromagnets due to the combination of geometric frustration and quantum fluctuations. A generic feature of these QSLs is the existence o... |
{'timestamp': '2022-03-07T02:02:22', 'yymm': '2203', 'arxiv_id': '2203.01989', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01989'} | arxiv | \section{Concise historical background and motivation}
On one hand, the approximation of $2\pi$-periodic and integrable functions by their Fourier series in the H\"{o}lder metric has been studied | widely and consistently in many papers. Das at al. studied the degree of approximation of functions by matrix means of their Fourier series in the generalized H\"{o}lder metric \cite{DGR}, generalizing many previous known results. Again, Das at al. \cite{DNR} studied the rate of convergence problem of Fourier series i... |
{'timestamp': '2022-03-07T02:03:37', 'yymm': '2203', 'arxiv_id': '2203.02019', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02019'} | arxiv | \section{Introduction}
Color transparency is the amazing prediction of QCD that initial- and final-state interactions are reduced in high-momentum transfer, high-energy coherent reactions~\cite{Frank | furt:1994hf,Jain:1995dd,Ashery:2006zw,Dutta:2012ii}.
Strong interactions are strong: when hadrons hit nuclei they generally break up the nucleus or themselves. Indeed, a well-known semi-classical formula states that the intensity of a beam of hadrons falls exponentially with the penetration distance through nuclei. T... |
{'timestamp': '2022-03-07T02:01:31', 'yymm': '2203', 'arxiv_id': '2203.01975', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01975'} | arxiv | \section{Introduction}
\label{sec:introduction}
Fission is a fundamental nuclear decay that is important in many areas of science, ranging from structure and stability of heavy and superheavy nuclei \ | cite{krappe2012,Schmidt2018,GiulianiRMP} to studies devoted to physics beyond the standard model of particle physics~\cite{vogel2015} and the synthesis of heavy elements~\cite{horowitz2018,vassh2019,Giuliani2020}.
Theoretically, the nuclear fission process is an example of the nuclear large-amplitude collective motio... |
{'timestamp': '2022-03-07T02:00:59', 'yymm': '2203', 'arxiv_id': '2203.01963', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01963'} | arxiv | \section{Introduction}
The temporal resolution of the propagation of the smallest capillary waves discretely resolved in space on a fluid interface presents the dominant time-step restriction for the | majority of simulations of interfacial flows with surface tension \citep{Popinet2018}. It has long been speculated that an implicit formulation of surface tension must be able to eliminate, or at least mitigate, this time-step constraint \citep{Brackbill1992, Kothe1998, Hysing2006,Popinet2009,Sussman2009,Popinet2018}. ... |
{'timestamp': '2022-03-07T02:03:21', 'yymm': '2203', 'arxiv_id': '2203.02013', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02013'} | arxiv | \section{Introduction}
\input{tables/overview}
As machine learning models are increasingly deployed in real-world scenarios, it has motivated the development of interpretable machine learning (ML) a | s a research field with the goal of understanding ML models, performing model debugging, and using these insights to better inform the interaction between AI and humans in joint decision making~\cite{gilpin2018explaining,bhatt2020explainable,chen2022interpretable}. Recently, the promise of multimodal models for real-wo... |
{'timestamp': '2022-03-07T02:01:06', 'yymm': '2203', 'arxiv_id': '2203.01966', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.01966'} | arxiv | \section{Introduction}
Conservation laws for differential equations play an important role both in the comprehension of the problem and in the analysis of the mathematical model. A conservation law r | elates the variation of a certain quantity within an arbitrarily small section of the space domain, to the amount of quantity that flows in and out. This quantity often has a physical meaning, such as mass, energy, momentum, electric charge.
If the system is isolated, the total amount of the conserved quantity does not... |
{'timestamp': '2022-03-07T02:03:57', 'yymm': '2203', 'arxiv_id': '2203.02028', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02028'} | arxiv | \section{Introduction}
In 2019 experts of Solar Cycle 25 Prediction Panel predicted that
the maximum of the solar cycle 25 (SC25) will lie in the sunspot
number range between 95 and 130, that is | similar to SC24 with the
maximal SN=116
(\url{https://www.weather.gov/news/190504-sun-activity-in-solar-cycle}).
The opinion that SC25 will be equal or lower than SC24 is shared by many authors
(\opencite{du22}; \opencite{burud21}; \opencite{nandy21}; \opencite{wu21}; \opencite{courtillot21} etc).
If the odd SC... |
{'timestamp': '2022-03-07T02:05:12', 'yymm': '2203', 'arxiv_id': '2203.02039', 'language': 'en', 'url': 'https://arxiv.org/abs/2203.02039'} | arxiv | \section{Introduction}\label{s.i}
\subsection{Main results and structure of the paper}\label{s:sg}
Let $d\in {\mathbb N}:=\{1,2,\ldots\}$, $\alpha\in (0,2)$ and $\alpha<d$.
We
consider the semigroup | $\tilde P_t$, $t>0$, of the following Hardy operator
on ${{\mathbb R}^d}$,
\begin{equation}
\label{eq:SchrOp}
\Delta^{\alpha/2}+\kappa|x|^{-\alpha}.
\end{equation}
We call $\kappa$, and $\Delta^{\alpha/2}+\kappa|x|^{-\alpha}$, subcritical if $\kappa<\kappa^*$, critical if $\kappa=\kappa^*$ and supercri... |
{'timestamp': '2022-09-30T02:09:47', 'yymm': '2209', 'arxiv_id': '2209.14624', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14624'} | arxiv |
\section{Introduction}
\label{introduction}
Neural network pruning has become an essential tool to reduce the size of modern-day neural networks. Small-sized networks are important for faster infere | nce and many real-world tasks, for example, deployment on edge devices. With scaling model parameters becoming a popular way to scale performance, model sizes are becoming huge and an increasing cost to the environment \cite{strubell2019energy}. Neural network compression and neural network pruning in particular, has t... |
{'timestamp': '2022-10-04T02:10:17', 'yymm': '2209', 'arxiv_id': '2209.14483', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14483'} | arxiv | \section{Introduction}
Random sampling is a fundamental area of study in statistics. Countless processes can be simulated as Monte Carlo experiments, with far-reaching applications in a range of fiel | ds from biology and economics to business. A rather simple but ubiquitous and surprisingly non-trivial experiment is that of taking $D$ samples from a distribution and picking out one of these samples according to some omniscient "strategy."
This problem is dual to K-means clustering, a well-studied process where o... |
{'timestamp': '2022-09-30T02:08:55', 'yymm': '2209', 'arxiv_id': '2209.14599', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14599'} | arxiv | \section{Introduction}
A polyp is a grossly visible mass of epithelial cells that protrudes from the mucosal surface into the lumen of the intestine. Most colon polyps are harmless. However, some co | lon polyps can develop into colon cancer over time, which is fatal when found in its late stages. Hence, it is essential to have regular screenings. Colonoscopy is one of the most common techniques used to detect colon polyps. With the recent success of deep learning, various image segmentation methods have been employ... |
{'timestamp': '2022-09-30T02:07:09', 'yymm': '2209', 'arxiv_id': '2209.14533', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14533'} | arxiv | \section{Introduction}
More than one hundred years ago, H. Weyl has advocated a new theory to unify all the interactions
known at that time, namely gravitational interaction and electro-magnetic for | ce, within the framework
of a newly established geometry which is nowadays called ``Weyl geometry'' \cite{Weyl, Scholz}.
In Riemann geometry both length and angle are preserved under parallel transport while in Weyl geometry,
only angle, but not length, is preserved by the Weyl gauge field. Soon after the advent of ... |
{'timestamp': '2022-09-30T02:06:33', 'yymm': '2209', 'arxiv_id': '2209.14515', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14515'} | arxiv | \section{Introduction}
We have developed biped robots with a passive dynamic walking mechanism.
Bipedal walking is generated through the dynamic interactions among the body, neural system, and environ | ment.
McGeer~\cite{McGeer1990} developed a simple robot with passive legs attached to the hip and demonstrated stable walking while descending a slope without any energy input other than gravity.
This suggested that passive locomotion plays a significant role in locomotion.
Many studies have clarified the gait generati... |
{'timestamp': '2022-09-30T02:06:46', 'yymm': '2209', 'arxiv_id': '2209.14518', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14518'} | arxiv | \section{Introduction}
Quandles are algebraic structures modeled on the \emph{three} Reidemeister moves in classical knot theory.
They have been used extensively to construct invariants of knots and | links, see for example \cites{EN, Joyce, Matveev}. A Topological quandle is a quandle with a topology such that the quandle binary operation is compatible with the topology. Precisely, the binary operation is continous and the right multiplications are \emph{homeomorphisms}. Topological quandles were introduced in ... |
{'timestamp': '2022-09-30T02:08:40', 'yymm': '2209', 'arxiv_id': '2209.14588', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14588'} | arxiv | \section{Introduction} \label{S:intro}
A decomposition of a graph $G$ is a set $\mathcal{H}=\{H_{1}, H_{2}, \ldots, H_{k}\}$ of subgraphs of $G$ such that $\bigcup_{i=1}^{k} E\left(H_{i}\right)=E(G)$ | and $E(H_{i}) \cap E(H_{j})=\emptyset$ for $ i \neq j$. Such a decomposition is called an $\{H_{1}, H_{2}, \ldots, H_{k}\}$-decomposition of $G$. A factor in a graph $G$ is a spanning (not necessarily connected) subgraph of $G$. If a graph $G$ can be decomposed into $r_{i}$ factors isomorphic to the factor $F_{i}$ for... |
{'timestamp': '2022-09-30T02:07:05', 'yymm': '2209', 'arxiv_id': '2209.14530', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14530'} | arxiv | \section{Introduction}
\label{sec:intro}
The stabilizer formalism \cite{gottesman1997stabilizer} plays a central role in quantum information. Stabilizer states are states that lie in the intersection | of the positive eigenspaces of $2^n$ commuting Pauli operators. Stabilizer states can be generated by Clifford circuits, which are the group of unitary transformations that normalize the Pauli group. Stabilizer states and the Clifford group have widespread applications in quantum error correction \cite{shor1995codes, c... |
{'timestamp': '2022-09-30T02:08:32', 'yymm': '2209', 'arxiv_id': '2209.14583', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14583'} | arxiv | \section{Introduction}
\label{sec:intro}
Different from full reference image quality assessment (IQA) (e.g. PSNR, SSIM), blind IQA computes quality directly from the distorted image without a clean i | mage, which makes it suitable to user generated content, communication and other scenarios where clean sources are inaccessible. Traditional blind IQA approach relies on the regularity of natural scene statistics. Hand-crafted features \cite{mittal2012no} are designed to measure the distortion of image from natural one... |
{'timestamp': '2022-09-30T02:08:02', 'yymm': '2209', 'arxiv_id': '2209.14567', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14567'} | arxiv | \section{Introduction}
The Weibull distribution, with probability density function
\begin{align}
\label{eqn:pdf}
p(y | \bm{\theta}) = \left(\frac{k}{\lambda^k}\right) y^{k-1} \exp\left(-\left(\frac{y | }{\lambda}\right)^k\right) ,
\end{align}
where $\bm{\theta} = \{k,\lambda\}$ and $k>0$ is the shape parameter and $\lambda>0$ is the scale parameter, is a popular distribution in analysis of survival data. Given data ${\bf y} = (y_1, \ldots, y_n)^\prime$, a common approach to estimate Weibull parameters $\bm{\theta}$ i... |
{'timestamp': '2022-09-30T02:07:41', 'yymm': '2209', 'arxiv_id': '2209.14555', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14555'} | arxiv | \section{Introduction}
Regression analysis is a statistical method widely used in many research areas.
It is often specified as the normal linear model, where coefficients are linear and the error te | rm follows the normal distribution to simplify the analysis.
This specification aims to approximate the state of nature and is often useful in prediction as well as discussing the causality.
Among its specifications, variable selection is a central issue in the regression analysis.
It is important to select an appropr... |
{'timestamp': '2022-09-30T02:08:29', 'yymm': '2209', 'arxiv_id': '2209.14580', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14580'} | arxiv | \section{introduction}
The main results of this article extend principal results of
\cite{HHLM08} on convex
polynomials in freely noncommuting variables to the matrix-valued case
and of \cite{ | JKMMP21a} on $xy$-convex polynomials
to the matrix-valued setting in any finite number of freely
noncommuting variables.
Fix a positive integer ${\tt{g}}.$ Given a positive integer $d$
and
$d\times d$ matrices, $A_0,A_1,\dots,A_{\tt{g}},$ the expression
\[
L_A(x) = A_0 - \sum_{j=1}^{{\tt{g}}} A_j x_j
\]... |
{'timestamp': '2022-09-30T02:07:06', 'yymm': '2209', 'arxiv_id': '2209.14531', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14531'} | arxiv | \section{\label{sec:Introduction}Introduction}
Spin qubits in silicon QDs are a leading candidate for building a quantum processor due to their long coherence time~\cite{Dzurak2014AddressableQuantumDo | t, Dzurak2015TwoLogicGate}, potential scalability~\cite{Veldhorst2017InterfacingSpinQubits, Veldhorst2018CrossbarNetwork}, and compatibility with advanced semiconductor manufacturing technology~\cite{Camenzind2021FinFET, Vandersypen2022AdvancedSemiconductor, Zhang2018Semiconductor}. Nowadays, as an alternative to imple... |
{'timestamp': '2022-09-30T02:07:15', 'yymm': '2209', 'arxiv_id': '2209.14537', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14537'} | arxiv | \section{Related Work}
\label{sec:related}
We give related works regarding direct volume rendering (DVR) of unstructured meshes, data-parallel rendering, and in~situ visualization.
\subsection{Unstr | uctured Volume Rendering}
There are notable works proposed to render unstructured finite element meshes~\cite{nelson2006isosurface, Vo2007irun, marmitt2008cpuvolume, muigg2011interactivevol}. Two predominant strategies to render unstructured volumes are \emph{point-query sampling}, e.g.,~\cite{morrical2020rtxpointloce... |
{'timestamp': '2022-09-30T02:09:41', 'yymm': '2209', 'arxiv_id': '2209.14618', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14618'} | arxiv | \section{Introduction}
We assume that $x = (x_1,x_2,...,x_d)$ and $y = (y_1,y_2,...,y_d)$
are distributed according to
$$p(x\mid\lambda)=\prod\limits_{i=1}^d p(x_i \mid \lambda_i)
=\exp\{-r(\lambda_1 | +\lambda_2+\cdots+\lambda_d)\}\ffrac{(r\lambda_1)^{x_1}}{x_1!}\cdots\ffrac{(r\lambda_d)^{x_d}}{x_d!}$$
and
$$p(y\mid\lambda)=\prod\limits_{i=1}^d p(y_i \mid \lambda_i)
=\exp\{-s(\lambda_1+\lambda_2+\cdots+\lambda_d)\}\ffrac{(s\lambda_1)^{y_1}}{y_1!}\cdots\ffrac{(s\lambda_d)^{y_d}}{y_d!},$$
respectively, where $r$ and $... |
{'timestamp': '2022-09-30T02:05:37', 'yymm': '2209', 'arxiv_id': '2209.14488', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14488'} | arxiv | \section{Introduction}
\label{sec-int}
Deep reinforcement learning (DRL) is a booming field of research in machine learning with diverse real-world applications \cite{ibarz2021}. In recent years, man | y \emph{model-free} DRL algorithms achieved cutting-edge performance in tackling various continuous reinforcement learning (RL) problems, including complex control tasks with high-dimensional state and action spaces \cite{liu2021}. These algorithms can effectively train \emph{deep neural networks} (DNNs) to precisely m... |
{'timestamp': '2022-09-30T02:08:11', 'yymm': '2209', 'arxiv_id': '2209.14575', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14575'} | arxiv | \section{Introduction}
Recently, bit allocation for Neural Video Compression (NVC) has drawn growing attention thanks to its great potential in boosting compression performance. Due to the frame refe | rence structure in video coding, it is sub-optimal to use the same R-D (Rate-Distortion) trade-off parameter $\lambda$ for all frames. In bit allocation task, bitrate is allocated to different frames/regions to minimize R-D cost $R+\lambda D$, where $R$ is total bitrate, $D$ is total distortion, and $\lambda$ is the L... |
{'timestamp': '2022-09-30T02:05:29', 'yymm': '2209', 'arxiv_id': '2209.14481', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14481'} | arxiv | \section{Introduction}\label{S:Introduction}
\noindent A 2D vortex patch is a solution to the 2D Euler equations for which the vorticity is a constant multiplied by the characteristic function of a d | omain. We investigate the behavior of vortex patches in an infinite strip periodic in one direction, topologically $S^1 \times {\ensuremath{\BB{R}}}$, and the corresponding behavior of the vortex patch or layer in the full plane. Our main results are the extension of
the $C^{1,\ensuremath{\varepsilon}}$ global regula... |
{'timestamp': '2022-09-30T02:07:13', 'yymm': '2209', 'arxiv_id': '2209.14536', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14536'} | arxiv |
\section{Introduction}
We consider the following sparse optimization problem:
\begin{equation}\label{eq:optimizationproblem}
(\text{P}):
\quad
\begin{array}{l}
\min f(\mathbf{x},\Xi):=\frac{1}{N}\ | sum_{i=1}^{N}f^{(i)}(\mathbf{x}, \xi^{(i)}) \\
\text{s.t. }
\mathbf{x} \in C_s
\end{array}
\end{equation}
where $f^{(i)}: \mathbb{R}^n\times \Xi \rightarrow \mathbb{R}$ for $i=1,\dots, N$, $\Xi=\{\xi^{(1)}, \dots, \xi^{(N)}\}$, and $C_s=\{\mathbf{x} \in \mathbb{R}^n \mid \|\mathbf{x}\|_0 \leq s\}$ (sparsity constraint)... |
{'timestamp': '2022-09-30T02:08:33', 'yymm': '2209', 'arxiv_id': '2209.14585', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14585'} | arxiv | \section{Introduction}
Since the beginning of the century we know that the observable Universe is in accelerated expansion which implies the existence of a {\em positive} cosmological constant $\Lambd | a >0$ \cite{Riess1998,Perlmutter1999}. It is also known that a positive $\Lambda$ imposes restrictions on the area of marginally (outer) future-trapped surfaces \cite{HSN,W} if these are stable in the sense of \cite{AMS,AMS1} --equivalently, `outer' in the sense of \cite{Hay,HSN}-- if the dominant energy condition hold... |
{'timestamp': '2022-09-30T02:06:58', 'yymm': '2209', 'arxiv_id': '2209.14525', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14525'} | arxiv | \section{Introduction}
Real-time object detection algorithms are getting a lot of attention in academia and industry for the broad set of applications that employ them, including autonomous driving an | d factory automation~\cite{its1,its5,its6,its7,its8}.
Among those algorithms, the multi-object detection algorithm is widely used. The fundamental ideas of the algorithm mentioned above consist of two procedures; (i) \textit{bounding box} and \textit{confidence} are used for determining whether objects exist or not; th... |
{'timestamp': '2022-09-30T02:06:07', 'yymm': '2209', 'arxiv_id': '2209.14505', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14505'} | arxiv | \section{Introduction}
\IEEEPARstart{C}{oncerns} about climate change, resilience to hazardous events, and sustainability have shifted the electric power sector in the U.S. and elsewhere toward more | involvement on the demand side to harness flexible distributed energy resources (DERs). More recently, the U.S. Federal Energy and Regulatory Commission (FERC) issued Order 2222, which removes barriers to the integration of DERs into wholesale electricity markets \cite{ferc2222}.
More specifically, the ruling allows th... |
{'timestamp': '2022-09-30T02:06:21', 'yymm': '2209', 'arxiv_id': '2209.14510', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14510'} | arxiv | \section{Introduction}
Graphene has opened up a new era of topological materials, followed by the discovery of topological insulators, topological superconductors, and semi-metals in both two and th | ree dimensions (See reviews~\cite{Hasan2010b, Qi2011, Armitage2018}). Since then, the interplay between topology and correlation has been the primary focus of condensed matter research. Graphene and its variants, due to its excellent electronic and mechanical properties~\cite{Neto2007, DasSarma2011}, have become wonder... |
{'timestamp': '2022-09-30T02:06:59', 'yymm': '2209', 'arxiv_id': '2209.14526', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14526'} | arxiv | \section{Introduction}
The linear $M_{\rm bh}$--$M_{\rm *,sph}$ relation \citep{1988ApJ...324..701D,
1989IAUS..134..217D}, see also \citet{1992ASPC...31..417Y}, sometimes
referred to as the Magorri | an relation \citep{1998AJ....115.2285M}, has
repeatably been heralded as a critical ingredient to understanding the coevolution
of galaxies and their central massive black holes. Black hole feedback is
said to regulate the gas and thereby control the star formation \citep[e.g.,][and
references therein]{1998A&A...331... |
{'timestamp': '2022-09-30T02:08:39', 'yymm': '2209', 'arxiv_id': '2209.14586', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14586'} | arxiv | \section{Introduction}
\label{sec:intro}
In online teaching, it is important for educators to record written contents to make the lectures engaging. Two popular techniques for recording are: \textit{( | A)} utilizing an overhead camera which is straightforward, and \textit{(B)} using a graphics tablet or tab~\cite{Tab2021}, i.e. \textit{Intuos}\footnote{\texttt{www.wacom.com/en-us/products/pen-tablets}}.
These tabs are becoming popular, but many teacher find it difficult as they are expensive~\cite{linda_2018}, and ma... |
{'timestamp': '2022-09-30T02:09:43', 'yymm': '2209', 'arxiv_id': '2209.14623', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14623'} | arxiv | \section{Introduction}
\label{S1}
Aluminium alloys are widely used in industry for their various advantages: they are light weighted metallic alloys, have a high corrosion resistance and good mechani | cal properties \cite{Mondolfo1979,Develay1992}.
Since the early work of Guinier \cite{Guinier1938} and Preston \cite{Preston1938}, it has been demonstrated that the increase of hardness in age hardened Al-Cu alloys is due to the formation of nanoscaled zones that have been first detected by small-angle X-ray scatterin... |
{'timestamp': '2022-09-30T02:06:07', 'yymm': '2209', 'arxiv_id': '2209.14504', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14504'} | arxiv | \section{Introduction}
Ultra-reliable and low-latency communication (URLLC) is one of the generic applications required to be covered in the fifth-generation (5G) \cite{durisi2016toward,bennis2018ult | rareliable,zhang2021ris}.
As a result, it has been attracted significant interests since it enables several innovative usages, especially in industrial production, such as remote heavy industrial machines operation and factory automation \cite{simsek20165g,liu2018tractable}.
However, compared with conventional commun... |
{'timestamp': '2022-09-30T02:07:20', 'yymm': '2209', 'arxiv_id': '2209.14549', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14549'} | arxiv | \section{Introduction}
\label{intro}
In the broader area of computational finance, the mere establishment of the existence of solution to a problem is not sufficient towards achieving the tangible fi | nancial goals, for the problem that has been posed. Accordingly, as is the case for many applications, we seek a solution that (in practice) happens to be an approximation to the actual solution being sought. To this end, we begin by observing that for problems in quantitative finance, one can arrive at either an analy... |
{'timestamp': '2022-09-30T02:06:00', 'yymm': '2209', 'arxiv_id': '2209.14500', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14500'} | arxiv | \section{Introduction}
\label{sec:introduction}
Recent work on GPT-2~\citep{gpt2} and GPT-3~\citep{gpt3} have shown that large language models possess few-shot learning capabilities and zero-shot ins | truction following capabilities, despite only being pre-trained with a self-supervised causal language modeling objective (which is to predict the next token).
An arbitrary task can be converted into a natural language task specification, often called a \textit{prompt}. Prompting a task in this way makes its format si... |
{'timestamp': '2022-10-04T02:12:24', 'yymm': '2209', 'arxiv_id': '2209.14553', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14553'} | arxiv | \section{Introduction}
\label{section:intro}
In recent years, deep neural networks (DNNs) have grown in size from 3,246 trainable parameters in 1989 (LeNet \cite{LetNet}) to tens of millions of parame | ters (AlexNet \cite{AlexNet}, ResNet \cite{he2015resnet}). This has led to a massive increase in networks' ability to capture complex patterns from input data. However, this has also led to the risk of overfitting training data.
As an extreme case, Zhang et al. \cite{Overfitting} showed that any sufficiently large netw... |
{'timestamp': '2022-09-30T02:09:14', 'yymm': '2209', 'arxiv_id': '2209.14607', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14607'} | arxiv | \section{Introduction}
\label{s:Introduction}
Emulsions are suspensions of immiscible liquids (such as oil and water) and play a central role in a wide range of industrial processes such as food | processing~\citep{walker2015development, zhang2015influence,guzey2006formation}, pharmaceutical processes~\citep{spernath2006microemulsions} or oil production~\citep{dicharry2006stability,angardi2021critical}.
Moreover, current research is examining the application of fuel--water emulsions for more efficient and env... |
{'timestamp': '2022-09-30T02:07:20', 'yymm': '2209', 'arxiv_id': '2209.14547', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14547'} | arxiv | \section{Preliminary}
\section{Introduction}
\IEEEPARstart{R}{ecent} advances within the Smart Grid (SG) paradigm are geared towards the incorporation of several Internet of Things (IoT) based devic | es and advanced computing technologies to ensure reliability, flexibility and efficiency of critical power systems \cite{Lamnatou_Chemisana_Cristofari_2022}. With the prevalence of Artificial Intelligence (AI), the enormous amount of highly granular power-related data generated by such intelligent devices enable energy... |
{'timestamp': '2022-09-30T02:08:43', 'yymm': '2209', 'arxiv_id': '2209.14592', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14592'} | arxiv | \section{Introduction}
\label{sec_introduction}
The Epoch of Reionisation (EoR) marks the second major phase transition in the Universe. With the emergence of the first galaxies, ultraviolet (UV) rad | iation gradually ionises the neutral hydrogen (\HI) in the intergalactic medium (IGM) until the Universe is reionised by $z\simeq5.3$ \citep{Keating2020, Zhu2021, Bosman2021}. However, as only the brighter galaxies during the EoR are observed to date, key questions detailing the reionisation process remain outstanding:... |
{'timestamp': '2022-09-30T02:09:24', 'yymm': '2209', 'arxiv_id': '2209.14610', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14610'} | arxiv |
\section{Introduction}
Developing machines equipped with mathematical reasoning capabilities is one of the long-standing goals of artificial intelligence. Solving math word problems (MWPs) is a wel | l-defined task to diagnose the ability of intelligent systems to perform numerical reasoning and problem-solving as humans. A surge of datasets has been proposed to facilitate the research in this domain \citep{upadhyay2017annotating,amini2019mathqa,miao2020diverse,cobbe2021training}. However, most existing MWP dataset... |
{'timestamp': '2022-09-30T02:06:27', 'yymm': '2209', 'arxiv_id': '2209.14511', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14511'} | arxiv | \section{Introduction}
In the past decades,
as important properties,
the $\partial_{}\bar{\partial}$--lemma and its variation has been extensively studied
in complex geometry, symplectic geometry and | generalized complex geometry;
see \cite{DGMS75,BK98,Merkulov98,Man99,Cav06,TY12-1,TY12-2, AT13, AT15,TY16,YY20} etc.
Among these works,
a profound one of
Deligne, Griffiths, Morgan, and Sullivan
is that if a compact complex manifold satisfies the $\partial_{}\bar{\partial}$--lemma,
then it is formal.
In symplectic geom... |
{'timestamp': '2022-09-30T02:09:05', 'yymm': '2209', 'arxiv_id': '2209.14600', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14600'} | arxiv | \section*{Abstract}
{\bf
GeV-scale dark matter particles with strong coupling to baryons evade the standard direct detection limits as they are efficiently stopped in the overburden and, consequently, | are not able to reach the underground detectors. On the other hand, it has been shown that it is possible to probe this parameter space taking into account
the flux of dark matter particles boosted by interactions with cosmic rays. We revisit these bounds paying particular attention to interactions of the relativisti... |
{'timestamp': '2022-09-30T02:08:22', 'yymm': '2209', 'arxiv_id': '2209.14577', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14577'} | arxiv | \section{Proofs}
\printProofs
\end{document}
\section{Background of Optimal Transport}
\label{sec:ot}
This section introduces the background of optimal transport (OT),
including both the static a | nd dynamic formulations.
Of special importance is the dynamic formulation,
which is closely related to the rectified flow approach.
The readers can find systematic introductions to OT in
a collection of excellent textbooks
\cite{villani2021topics, figalli2021invitation, ambrosio2021lectures, peyre2019computatio... |
{'timestamp': '2022-09-30T02:08:02', 'yymm': '2209', 'arxiv_id': '2209.14568', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14568'} | arxiv | \section{Introduction}
In recent years, many explanations methods have been developed for explaining machine learning models, with a strong focus on local analysis, i.e., generating explanations for | individual prediction (see \citep{molnar2022} for a survey). Among this plethora of methods, one of the most prominent and active techniques are Counterfactual Explanations \citep{Wachter2017CounterfactualEW}. Unlike popular local attribution methods, e.g., SHAP \citep{lundberg2020local2global} and LIME \citep{ribeiro2... |
{'timestamp': '2022-09-30T02:09:35', 'yymm': '2209', 'arxiv_id': '2209.14615', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14615'} | arxiv | \section{Introduction}
Combinatorial optimization problems on graphs are widespread in operation research, with applications in planning and logistics. Their study is strongly related to algorithm th | eory and computational complexity
theory. The most representative example of such discrete variational problems is the travelling salesperson problem (TSP) \cite{shmoys1985traveling}: given a set of cities and distances between each
pair of them, one asks for the shortest route that visits each city exactly once and r... |
{'timestamp': '2022-09-30T02:06:58', 'yymm': '2209', 'arxiv_id': '2209.14523', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14523'} | arxiv | \section{\label{sec:level1}Introduction}
Nonlinear superconducting devices are the basic components of superconducting quantum electronics. For example, inductive nonlinearities provide the anharmonic | ity essential for the superconducting circuits to operate as qubits \cite{krantz2019quantum, blais2021circuit}. The Josephson junction (JJ) in particular has been widely employed as the source of nonlinearity for superconducting qubits \cite{nakamura1999coherent, mooij1999josephson, van2000quantum, martinis2002rabi, yu... |
{'timestamp': '2022-09-30T02:09:42', 'yymm': '2209', 'arxiv_id': '2209.14620', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14620'} | arxiv | \section*{Introduction}
Computer simulations are a vital tool in biochemistry and biophysics. They complement and even replace physical experiments for investigating important biomolecular processes | such as protein-ligand binding \cite{shukla2018identification,hempel2021synergistic,novack2022binding}, protein folding\cite{piana2014assessing,li2018finding,sugita1999replica}, and membrane permeation \cite{de2001water,venable2019molecular,gupta2020permeation,sugita2021large}. However, many of these processes involve ... |
{'timestamp': '2022-09-30T02:06:30', 'yymm': '2209', 'arxiv_id': '2209.14512', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14512'} | arxiv | \section{Introduction}
\label{intro}
Abstract Meaning Representation (AMR) \cite{ban-AMR} parsing targets to transform a sentence into a directed acyclic graph, which represents the relations among | different concepts. The original AMR does not provide concept-to-word alignment information, which hinders the trace-back from concept to input word and brings difficulties to AMR parsing. To solve the problem, based on Chinese AMR \cite{li-etal-2016-annotating} , \newcite{Li_Wen_Song_Qu_Xue_2019} further propose to a... |
{'timestamp': '2022-09-30T02:05:46', 'yymm': '2209', 'arxiv_id': '2209.14492', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14492'} | arxiv | \section{Introduction}
\label{sec:intro}
The nature and geometry of the X-ray emission region in black hole binaries are still controversial, especially in the low/hard state, where most
of the powe | r is emitted in a spectrum quite unlike a standard disc (\citealt{Shakura_1973}).
Spectral fitting alone is degenerate, with proposed geometries being a compact source on the spin axis (lamppost), extended emission along the jet direction (jet corona), extended coronal emission on top of an underlying accretion disc (... |
{'timestamp': '2022-09-30T02:07:59', 'yymm': '2209', 'arxiv_id': '2209.14561', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14561'} | arxiv | ||
{'timestamp': '2022-09-30T02:06:01', 'yymm': '2209', 'arxiv_id': '2209.14501', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14501'} | arxiv | \section{Introduction}\label{sec:intro}
Nonconvex optimization plays a central role in machine learning because the training of many modern machine learning models, especially those from deep learning | , requires optimization of nonconvex loss functions. Among algorithms for solving nonconvex optimization problems, stochastic gradient descent (SGD) and its variants, such as Adam~\cite{ADAM}, Adagrad~\cite{duchi2011adagrad}, etc., are widely used in practice. In theory, their provable guarantee has been studied from v... |
{'timestamp': '2022-09-30T02:06:31', 'yymm': '2209', 'arxiv_id': '2209.14514', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14514'} | arxiv |
\subsection{Adversarial Graph Signal Denoising Problem}
Note that the second term in the GSD problem (Eq.~(\ref{graph signal denoising})) which controls the smoothness of the feature matrix over | graphs, is related to both the graph Laplacian and the node features. Therefore, the slight changes in the graph Laplacian matrix could lead to an unstable denoising effect. Inspired by the recent studies in adversarial training~\citep{madry2018towards},
we formulate the adversarial graph signal denoising problem as a... |
{'timestamp': '2022-10-05T02:15:52', 'yymm': '2209', 'arxiv_id': '2209.14489', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14489'} | arxiv | \section{Introduction}
Deep-inelastic scattering (DIS) of electrons off ions is at the forefront of experimental efforts to probe the internal structure of nucleons and nuclei and will be a primary fo | cus of study at the Electron-Ion Collider. In semi-inclusive DIS, selected particles produced by the fragmentation of the struck quark are observed in coincidence with the scattered electron, \(e(k) + N(P) \rightarrow e(k') + h(p) + X\), resulting in observables which provide access to a convolution of parton distribu... |
{'timestamp': '2022-09-30T02:07:57', 'yymm': '2209', 'arxiv_id': '2209.14560', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14560'} | arxiv | \section{Introduction and Summary}
Fundamental objects in relativistic theory are fields whose dynamics is derived from the action principle. The action is manifestly covariant object that is defined | as the
space-time integral of Lagrangian density. This manifest covariance is lost in the Hamiltonian formalism since its crucial point is an existence of one preferred coordinate which is the time coordinate.
There is an alternative Hamiltonian formalism, known as
covariant Hamiltonian theory or the Weyl-De Donder... |
{'timestamp': '2022-09-30T02:06:58', 'yymm': '2209', 'arxiv_id': '2209.14524', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14524'} | arxiv | \section{Introduction}
For integers $s$, $u$, $t$, and $v$, with $u \ge s \ge 1$ and $v \ge t \ge 1$, a matroid~$M$ has the \emph{$(s,u,t,v)$-property} if every $s$-element subset of $E(M)$ is contai | ned in a circuit of size~$u$, and every $t$-element subset of $E(M)$ is contained in a cocircuit of size~$v$.
Matroids with this property appear regularly in the matroid theory literature: for example, wheels and whirls have the $(1,3,1,3)$-property, and (tipless) spikes have the $(2,4,2,4)$-property.
Note that $M$ has... |
{'timestamp': '2022-09-30T02:07:56', 'yymm': '2209', 'arxiv_id': '2209.14559', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14559'} | arxiv | \section{Introduction}
\label{sec:intro}
The principal component analysis (PCA) model postulates that $N$ independent realisations of $K$-dimensional data ${\bf x}_i \in \mathbb{R}^K$ ($i=1,\ldots,N$) | are described as
\begin{equation}
\label{eqn:mfa}
{\bf x}_i = v_{i1} {\bf a}_1 + \cdots + v_{iJ} {\bf a}_J + \bm{\epsilon}_i = \left(\sum_{j=1}^J v_{ij} {\bf a}_j\right) + \bm{\epsilon}_i, \quad \bm{\epsilon} \sim {\rm N}_K ({\bf 0}_K, \sigma^2 {\bf I}_K),
\end{equation}
where $\{{\bf a}_1, \ldots, {\bf a}_J\}$ are t... |
{'timestamp': '2022-09-30T02:05:46', 'yymm': '2209', 'arxiv_id': '2209.14493', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14493'} | arxiv | \section{Leptoproduction of pseudoscalar mesons}
In this paper, we analyze pseudoscalar meson electroproduction
($\pi^0$, $\eta$) on the basis of handbag approach. Its essential
ingredients are the | Generalized Parton Distributions (GPDs) that
were proposed in Refs \cite{muell,ji1,rad1} and provide an
extensive information on the hadron structure. GPDs are
complicated nonperturbative objects which depend on $x_{B}$ -the
momentum fraction of proton carried by parton, $\xi$- skewness and
$t$- momentum transfer... |
{'timestamp': '2022-09-30T02:05:36', 'yymm': '2209', 'arxiv_id': '2209.14487', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14487'} | arxiv | \section{Introduction}
QMCPACK, is a modern high-performance open-source Quantum Monte Carlo
(QMC)~\cite{becca_quantum_2017} simulation
code~\cite{kim_qmcpack_2018,kent_qmcpack_2020}. Its main applic | ations are
electronic structure calculations of molecular, nanoscale and solid-state
systems. Variational Monte Carlo (VMC), diffusion Monte Carlo (DMC) and several
other advanced QMC methods are implemented with highly optimized algorithms.
These algorithms sample the positions of electrons within the simulated system... |
{'timestamp': '2022-09-30T02:06:10', 'yymm': '2209', 'arxiv_id': '2209.14506', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14506'} | arxiv | \section{Introduction}
High-entropy alloys (HEAs) receive much interest due to their rich functionality, such as high strength, corrosion resistance, energy storage, radiation protection, superconduct | ivity, soft ferromagnetism, and biocompatibility\cite{Sathiyamoorthi:PMS2022,Chang:AM2020,Wang:JMCA2021,Marques:EES2021,Pickering:Entropy2021,Kitagawa:Metals2020,Chaudhary:MT2021,Castro:Metals2021}.
The entropy state of an alloy is classified by the configurational entropy $\Delta S_\mathrm{mix}=-R\sum_{i=1}^{n}c_{i}\m... |
{'timestamp': '2022-09-30T02:09:41', 'yymm': '2209', 'arxiv_id': '2209.14617', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14617'} | arxiv | \section{Introduction}\label{s:0}
\subsubsection*{Vertex algebras, chiral algebras and chiral operad}
Nowadays vertex algebras appear in various branches of mathematics, mathematical physics and the | oretical physics. They were introduced by Borcherds \cite{Bo} as an algebraic framework of the operator algebra structure appearing in the chiral part of two-dimensional conformal field theory. This framework fits very well with representation theory of infinite-dimensional algebras, and has been making vast progress s... |
{'timestamp': '2022-09-30T02:06:53', 'yymm': '2209', 'arxiv_id': '2209.14522', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14522'} | arxiv | \section{Introduction}
We are interested in the construction of solutions of the following generalized parabolic Cahn-Hilliard equation
\begin{equation}\label{eq1.1}
u_t=-\Delta\left[\Delta | u -W'(u)\right]+W''(u)\left[\Delta u -W'(u)\right], \qquad \forall\, (t, x)\in \widetilde{\mathbb R}\times \R^n,
\end{equation}
where $n=2$ or $n\geq4$,
$\widetilde{\mathbb R}$ is given by
$$
\widetilde{\mathbb R}=\left\{
\begin{array}{rl}
(0, \infty), &\quad \mb... |
{'timestamp': '2022-09-30T02:07:07', 'yymm': '2209', 'arxiv_id': '2209.14532', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14532'} | arxiv | \section{Introduction}
Over the course of the last several years, a significant amount of scholarly attention has been drawn to the issue of feature selection.
At a high level, feature selection can | be considered as a branch of reducing data dimensionality of which the two primary methods are \textit{feature learning} and \textit{feature selection}.
The problem of feature learning involves the creation of new features from the original data. In contrast, the feature selection problem does not change the original r... |
{'timestamp': '2022-09-30T02:08:41', 'yymm': '2209', 'arxiv_id': '2209.14589', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14589'} | arxiv | \section{INTRODUCTION}
Jellium model assumes that the movement of valence electrons in simple metal clusters is carried out in a uniform potential\cite{ekardt_work_1984, ekardt_theory_1986}. The quant | um states of valence electrons in the cluster follows the configuration of $1\mathrm{S}^2-1\mathrm{P}^6-1\mathrm{D}^{10}-2\mathrm{S}^2-1\mathrm{F}^{14}-2\mathrm{P}^6-\cdots $, with S, P, D, F the angular momentum. This way, these clusters, also known as superatoms, mimic the chemical behaviour of single atom \cite{shao... |
{'timestamp': '2022-09-30T02:09:36', 'yymm': '2209', 'arxiv_id': '2209.14616', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14616'} | arxiv | \section{Introduction}
Numerical flow simulations of super- and transcritical conditions require appropriate thermodynamic models. A state-of-the-art thermodynamic model is based on a cubic equation | of state (EoS) and departure function formalism for the evaluation of enthalpy and energy. This can be found in early~\citep{zong2004numerical,kim2011numerical,park2012and,petit2013large} as well as recent computational fluid dynamics (CFD) investigations~\citep{fathi2022large,traxinger2018experimental,Matheis:2017dx,... |
{'timestamp': '2022-09-30T02:07:34', 'yymm': '2209', 'arxiv_id': '2209.14550', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14550'} | arxiv | \section{Introduction}
\label{sec:Introduction}
Highly directive radiation from a finite aperture is desired in many electromagnetics applications such as radar, communications, sensing, and imaging \ | cite{casares2006high,dash2018circularly,rana2017microstrip}. In this context, Fabry P\'{e}rot cavity (FPC) antennas have captured significant research interest because they offer high gain with a small aperture while retaining a simple feed structure for ease of fabrication and conformal deployment \cite{gardelli2006a... |
{'timestamp': '2022-09-30T02:06:10', 'yymm': '2209', 'arxiv_id': '2209.14507', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14507'} | arxiv | \section{Introduction}
\label{1}
Two features of atomic systems that emerge from quantum theory are the presence of highly inhomogeneous shell structure and the spontaneous breaking of spherical symm | etry. These two attributes play an important role in determining atomic size and facilitating chemical bonding. An intuitive understanding of the mechanism behind them would be helpful in considerations of molecules and bulk materials. On one hand, quantum superposition arguments can be made in support of the point of ... |
{'timestamp': '2022-09-30T02:07:43', 'yymm': '2209', 'arxiv_id': '2209.14557', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14557'} | arxiv |
\section{Introduction}\label{Intro}
Online news articles have, over time, started to replace traditional print and radio media as a primary source of information \cite{dallmann2015a}. A varying word | choice may have a major effect on the public and individual perception of societal issues, especially since regular news consumers are mostly not fully aware of the degree and scope of bias \cite{spinde2020b}. As shown in existing research~\cite{park2009newscube, baumer2015a}, detecting and highlighting media bias migh... |
{'timestamp': '2022-09-30T02:09:41', 'yymm': '2209', 'arxiv_id': '2209.14619', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14619'} | arxiv | \section{Introduction}
Let $\scr P(\R^d)$ be the space of all probability measures on $\R^d$ equipped with the weak topology.
Consider the following distribution dependent SDE on $\R^d$:
\beq\label{ | E1} \text{\rm{d}}} \def\bb{\beta} \def\aa{\alpha} \def\D{\scr D X_t= b_t(X_t, \scr L}\def\Tt{\tt} \def\TT{\tt}\def\II{\mathbb I_{X_t})\text{\rm{d}}} \def\bb{\beta} \def\aa{\alpha} \def\D{\scr D t+ \sigma} \def\ess{\text{\rm{ess}}_t(X_t, \scr L}\def\Tt{\tt} \def\TT{\tt}\def\II{\mathbb I_{X_t})\text{\rm{d}}} \def\bb{\be... |
{'timestamp': '2022-09-30T02:08:32', 'yymm': '2209', 'arxiv_id': '2209.14582', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14582'} | arxiv | \section{Introduction}
In the standard quantum theory, a set of quantum measurements is called incompatible if these measurements cannot be performed simultaneously on a single copy of a quantum sys | tem \cite{review}. This notion of measurement incompatibility is one of the fundamental features of quantum theory that differentiates quantum mechanics from the formulation of classical physics.
Quantum measurement incompatibility is at the root of demonstrating various fundamental quantum aspects ranging from Bell-... |
{'timestamp': '2022-09-30T02:08:48', 'yymm': '2209', 'arxiv_id': '2209.14594', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14594'} | arxiv | \section*{References}}
\usepackage{graphicx}
\graphicspath{ {figures/} }
\usepackage{amsmath,amssymb}
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\DeclareMath | Operator*{\calL}{\mathcal{L}}
\DeclareMathOperator*{\rhovec}{\bm{\rho}}
\title{Bayesian Neural Network Versus Ex-Post Calibration For Prediction Uncertainty}
\author{%
Satya Borgohain \\
Monash University \\
\texttt{satya.borgohain@monash.edu} \\
\And
Klaus Ackermann \\
Monash University \\
\texttt... |
{'timestamp': '2022-09-30T02:05:35', 'yymm': '2209', 'arxiv_id': '2209.14486', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14486'} | arxiv | \section{Introduction}
The Circular Electron Positron Collider (CEPC) \cite{CEPCStudyGroup:2018ghi} is a large-scale collider facility proposed after the discovery of Higgs boson in 2012.
It is desig | ned with a circumference of $100\,$km with two interaction points.
It can operate at multiple center-of-mass energies, including $240\,$GeV as a Higgs factory, $160\,$GeV for the $W^+W^-$ threshold scan, $91\,GeV$ as a Z factory, and $360\,$GeV for the $t\bar{t}$ threshold scan.
Table~\ref{CECPope} \cite{CEPCPhysicsStu... |
{'timestamp': '2022-09-30T02:07:36', 'yymm': '2209', 'arxiv_id': '2209.14551', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14551'} | arxiv | \section{Introduction}
The phase classification using machine-learning (ML) based techniques has been attracting intense attentions since the pioneering work in 2017\cite{carrasquilla2017}.
In additio | n to the classical phase detections\cite{bedolla2021,mehta2019} where each phase is well defined by the corresponding order parameters, detecting topological phase transitions\cite{bedolla2021} is interesting and challenging\cite{beach2018} due to the lack of local order parameters.
Recently, the phase detections and c... |
{'timestamp': '2022-09-30T02:07:09', 'yymm': '2209', 'arxiv_id': '2209.14534', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14534'} | arxiv | \section{Introduction}
We recall notations and terminologies used in \citep{hou}, where it was shown that the following holds.
\begin{theorem}[{{\citep[Theorem 2.1]{hou}}}]
Let a Polish group $\ | Gamma$ continuously act on a Polish space $X$. Let $S\subseteq\Gamma$ be countable compact, with its Schreier graph $G(S)$ on $X$. For any Baire measurable function $f:X\to\omega$, there is a comeager set of $x\in X$ for which $f[N_{G(S)}(x)]$ is finite. In particular, $f$ is not domatic at any such vertex $x$.
\end{... |
{'timestamp': '2022-09-30T02:09:11', 'yymm': '2209', 'arxiv_id': '2209.14604', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14604'} | arxiv | \section{Introduction}
In practical problems, a large amount of data comes in the form of spherical images, such as from cosmology
\cite{cosmology}, astrophysics \cite{astrophysics}, geophysics \cit | e{planetary,geo}, neuroscience
\cite{neuroscience}, and omnidirectional AR/VR field \cite{omni,omni2}, where images are naturally defined on the 2D spherical surface.
Due to the storage bottleneck and observation being costly and infeasible, these spherical images (signals) usually contain very limited pixels (observe... |
{'timestamp': '2022-09-30T02:08:49', 'yymm': '2209', 'arxiv_id': '2209.14596', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14596'} | arxiv | \section{Introduction}
\begin{paragraph}\noindent
Let $\mathfrak{a}$ be an ideal of a commutative unital ring $A$. There are two additive endo functors on the category of $A$-modules called the $\m | athfrak{a}$-torsion functor which is given by $\Gamma_{ \mathfrak{a}}(-):=\underset{k}\varinjlim ~\text{Hom}_{A}(A/\mathfrak{ a}^{k},-)$ and the $\mathfrak{a}$-adic completion functor given by $\Lambda_{ \mathfrak{a}}(-):= \underset{k}\varprojlim~ (A/\mathfrak{ a}^{k}\otimes_{A}-) $. These functors have been utilised i... |
{'timestamp': '2022-09-30T02:05:48', 'yymm': '2209', 'arxiv_id': '2209.14495', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14495'} | arxiv | \section{Introduction}
The solar photosphere is home to the abundant metal lines that appear absorptive against the optical continuum background. These lines contain rich information of the photospher | e and has been intensively studied since the 20th century. Most studies are devoted to the determination of element abundances from the equivalent widths of these absorption lines \citep[e.g.][]{2021asplund}. Micro- and macroturbulent velocities can also be obtained from the equivalent widths or line profiles \citep{19... |
{'timestamp': '2022-09-30T02:05:32', 'yymm': '2209', 'arxiv_id': '2209.14484', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14484'} | arxiv | \section{Electron effective potential from the geodesic equation}
In their paper on Rydberg atom bounds on the cosmological constant \cite{kundu}, Kundu, Pradhan, and Rosenzweig use an effective po | tential for the electron inferred from an exponentially expanding de Sitter universe. Our aim in this paper is to show that the same potential can be obtained in a more general way from the geodesic equation for motion of the electron, which gives added insight into how bounds obtained from this potential vary between... |
{'timestamp': '2022-09-30T02:08:01', 'yymm': '2209', 'arxiv_id': '2209.14564', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14564'} | arxiv | \section{Introduction}
Two-body baryonic decays of the charmonium states $J/\psi$ and $\psi(3686)$, here both denoted by the symbol $\Psi$, provide an excellent laboratory to study flavour-SU(3) sym | metry breaking and test various aspects of quantum chromodynamics (QCD) in the perturbative energy regime~\cite{pQCD}.
The amplitudes of $\Psi$ decays to different baryon octet pairs are supposed to be the same under the assumption of flavour-SU(3) symmetry. However, branching fractions are not only determined by ... |
{'timestamp': '2022-10-04T02:09:01', 'yymm': '2209', 'arxiv_id': '2209.14491', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14491'} | arxiv | \section{Introduction}
Recent research efforts on conditional generative modeling, such as Imagen~\citep{saharia2022photorealistic}, DALL$\cdot$E~2~\citep{ramesh2022hierarchical}, and Parti~\citep{yu | 2022scaling}, have advanced text-to-image generation to an unprecedented level, producing accurate, diverse, and even creative images from text prompts. These models leverage paired image-text data at Web scale (with hundreds of millions of training examples), and powerful backbone generative models, \textit{i.e.}, aut... |
{'timestamp': '2022-09-30T02:09:05', 'yymm': '2209', 'arxiv_id': '2209.14601', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14601'} | arxiv | \section{Introduction}
Our aim in this paper is to explain the origin of the problems that
have been noticed \cite{MeTi2019} when using Gauss-Radau quadrature
upper bounds of the $A$-norm of the erro | r in the Conjugate Gradient
(CG) algorithm for solving linear systems $Ax=b$ with a symmetric
positive definite matrix of order $N$.
\smallskip{}
The connection between CG and Gauss quadrature has been
known since the seminal paper of Hestenes and Stiefel \cite{HeSt1952}
in 1952. This link has been exploited by Gene ... |
{'timestamp': '2022-09-30T02:05:43', 'yymm': '2209', 'arxiv_id': '2209.14490', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14490'} | arxiv | \section{Introduction}
\label{sec:introduction}
The linear-quadratic (LQ) optimal control problem originated by \citet{Kalman1960} is of great importantance in the field of optimal control. The SLQ | optimal control problem, pioneered by \citet{Wonham1968}, has been widely considered in the previous literatures \citep{YongZhou1999,SunLiYong2016,SunYong2018,ZhangYan2020}. It is well-known that a conventional way to work out the SLQ problem is to solve the corresponding SARE. However, owing to the nonlinear property... |
{'timestamp': '2022-09-30T02:05:58', 'yymm': '2209', 'arxiv_id': '2209.14498', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14498'} | arxiv | \section{Introduction}
Recent face recognition model recognizes the identity of a given face image
from the 1M distractors with an accuracy of 99.087\%~\cite{Kemelmacher-Shlizerman2015}. However, most | face recognition benchmarks such as MegaFace~\cite{Kemelmacher-Shlizerman2015}, CASIA~\cite{Yi2014}, and~MS-Celeb-1M \cite{Guo2016} contain high resolution (HR) images that differ significantly from real-world environments, typically captured by surveillance cameras. When deep learning approaches are directly applied ... |
{'timestamp': '2022-09-30T02:07:16', 'yymm': '2209', 'arxiv_id': '2209.14540', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14540'} | arxiv | \section{Introduction}
Cone Beam Computed Tomography (CBCT) is an emerging medical imaging technique to examine the internal structure of a subject noninvasively. A CBCT scanner emits cone-shaped X-ra | y beams and captures 2D projections at equal angular intervals. Compared with the conventional Fan Beam CT (FBCT), CBCT enjoys the benefits of high spatial resolution and fast scanning speed~\cite{scarfe2006clinical}. Recent years have witnessed the blossoming of low dose CT, which delivers a significantly lower radiat... |
{'timestamp': '2022-09-30T02:08:05', 'yymm': '2209', 'arxiv_id': '2209.14569', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14569'} | arxiv | \section{Introduction}
In general, there are two main paradigms to do text summarization: \textit{abstractive}~\cite{rush2015neural,nallapati2016abstractive,gehrmann2018bottom} and \textit{extractive | }~\cite{cheng2016neural,narayan2018ranking, zhong2019searching, zhong2022unsupervised} methods.
For extractive summarization, previous studies~\cite{nallapati2017summarunner, liu2019text} formulate it as a \textit{sentence-level} sequence labeling task.
However, there is an inherent gap between the \textit{sentence-le... |
{'timestamp': '2022-09-30T02:09:12', 'yymm': '2209', 'arxiv_id': '2209.14606', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14606'} | arxiv | \section{Supplementary Material}
\subsection{Symmetries with and without static $\pm 2$ charges}
\label{subsect1}
In this section, we discuss the various symmetries of the model with and without the | $\pm 2$ charges.
Let us first discuss the case without the charges, where one has the usual lattice symmetries of
translations by one lattice spacing, the various reflection and rotation symmetries which form the
point group symmetries. The charge conjugation is a global internal $Z_2$ symmetry, which transforms... |
{'timestamp': '2022-09-30T02:08:19', 'yymm': '2209', 'arxiv_id': '2209.14576', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14576'} | arxiv | \section{Introduction}\label{sec::intro}
Chemical abundance variations play a key role in our understanding of galactic formation and evolution. In particular, radial abundance gradients in stellar po | pulations are believed to be the result of the inside-out galaxy formation scenario~\citep{1989MNRAS.239..885M,1997ApJ...477..765C,2012MNRAS.426..690B,2013ApJ...773...43B,2018MNRAS.474.3629G}. However, theoretical models also suggest that the radial abundance gradients are affected by various dynamical processes where ... |
{'timestamp': '2022-09-30T02:08:08', 'yymm': '2209', 'arxiv_id': '2209.14572', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14572'} | arxiv | \section{Introduction}
In dimensions 2 and 3, the Euler equations
\begin{eqnarray}
u\cdot\nabla u+\nabla p=0,
\label{1.1}\\
\nabla\cdot u=0
\label{ | 1.2}
\end{eqnarray}
describe steady flows of ideal incompressible fluid. The equations are also of some mathematical interest in an arbitrary dimension. Here $u=\big(u_1(x),\dots,u_n(x)\big)$ is a vector field on an an open set $U\subset{\mathbb R}^n$ (the fluid velocity) and $p$ is a scalar function on $U$ (the pressu... |
{'timestamp': '2022-09-30T02:05:58', 'yymm': '2209', 'arxiv_id': '2209.14499', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14499'} | arxiv | \section{INTRODUCTION}
The ability to detect dynamic and stationary obstacles (e.g., cars, trucks, pedestrians, bicycles, hazards) is critical for autonomous vehicles. This is particularly important | in semi-urban and urban settings characterized by complex scenes with large amounts of occlusion and varieties of shapes.
Previous perception methods rely heavily on utilizing cameras~\cite{liftsplatshoot}~\cite{cameraCenternet}\cite{camera10d} or LiDARs~\cite{mvLidarNet}~\cite{hendy2020fishing}~\cite{fastFurious}~\ci... |
{'timestamp': '2022-10-06T02:10:53', 'yymm': '2209', 'arxiv_id': '2209.14609', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14609'} | arxiv | \section{Introduction}
Large datasets containing millions of samples have become the standard for obtaining advanced models in many artificial intelligence directions, including natural language proce | ssing~\cite{brown2020language}, speech recognition~\cite{baevski2020wav2vec}, and computer vision~\cite{goyal2021self}.
Meanwhile, large datasets also raise some issues.
For example, data storage and preprocessing are becoming more and more difficult.
Also, expensive servers are needed to train models on these datasets... |
{'timestamp': '2022-09-30T02:07:10', 'yymm': '2209', 'arxiv_id': '2209.14535', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14535'} | arxiv | \section{Introduction}
Finite coverings of CW complexes are classical subject in algebraic topology. Recently, double coverings attract a lot of attentions for the topology of hyperplane arrangement | complement \cite{Yos20,Suc22,ISY22}.
A finite collection $\mathcal{A}$ of hyperplanes in $\mathbb{C}^n$ (or $\mathbb{CP}^n$) is called a complex affine (resp. projective) hyperplane arrangement. The topology of the hyperplane arrangement complement is very interesting. For instance, Dimca and Papadima \cite{DP03} an... |
{'timestamp': '2022-09-30T02:08:52', 'yymm': '2209', 'arxiv_id': '2209.14598', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14598'} | arxiv | \section{Introduction}
\label{sec:intro}
Online recommendation is fundamental to functioning of the modern web. From online stores to streaming service engines and content discovery platforms, it enab | les users to discover relevant content faster, and product owners to make their products visible to a broader public. Recommender systems can be understood as a feedback loop between the recommendation engine and the target audience – based on provided recommendations, the interactions with the recommendations are stor... |
{'timestamp': '2022-09-30T02:08:30', 'yymm': '2209', 'arxiv_id': '2209.14581', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14581'} | arxiv | \section{Introduction}
In this paper we provide a unified way for proving H\"older regularity for the gradient of viscosity solutions to fully nonlinear elliptic equations of the form
\begin{align}
| \label{me}
\begin{split}
\Phi(x,|Du|) F(D^{2}u) = f(x)
\quad\text{in}\quad B_{1},
\end{split}
\end{align}
where $B_{1}\equiv B_{1}(0)\subset \mathbb{R}^{n}$ with $n\geqslant 2$ is the unit ball, $F : \mathcal{S}(n)\rightarrow \mathbb{R}$ is a uniformly $(\lambda,\Lambda)$-elliptic operator in the sen... |
{'timestamp': '2022-09-30T02:07:20', 'yymm': '2209', 'arxiv_id': '2209.14548', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14548'} | arxiv | \section{Introduction}
Offline reinforcement learning seeks to solve decision-making problems without interacting with the environment.
This is compelling because online data collection can be dangero | us or expensive in many realistic tasks.
However, relying entirely on a static dataset imposes new challenges.
One is that policy evaluation is hard because the mismatch between the behavior and the learned policy usually introduces extrapolation error \citep{bcq}. In most offline tasks, it is difficult or even impossi... |
{'timestamp': '2022-09-30T02:09:26', 'yymm': '2209', 'arxiv_id': '2209.14611', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14611'} | arxiv | \section{Introduction}
Index insurance is a promising tool to reduce the risk faced by smallholder farmers. By linking payouts to a regional index instead of individual losses, it reduces moral hazar | d, adverse selection and transaction costs. But delinking payouts from individual losses creates \emph{basis risk}, the possibility that a farmer experiences a loss yet does not receive any indemnity. Basis risk substantially reduces the benefit of index insurance, and if severe enough can make it worse than no insuran... |
{'timestamp': '2022-09-30T02:09:31', 'yymm': '2209', 'arxiv_id': '2209.14614', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14614'} | arxiv | \section*{Acknowledgments}
This work was supported by the funds of Research Project of the National Language Commission (No. ZDI135-131, No. ZDI145-24) and Fundamental Research Funds for the Central | Universities in BLCU (No. 21PT04). We would like to thank all anonymous reviewers for their valuable comments and suggestions on this work.
\bibliographystyle{ccl}
\section{Introduction}
Definition Generation (DG) is the task of describing the meaning that a word takes in a specific context.
This task can help ... |
{'timestamp': '2022-09-30T02:05:31', 'yymm': '2209', 'arxiv_id': '2209.14482', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14482'} | arxiv |
\section{List of calibration lines}
\label{sec:arc-lamp-lines-list}
\begin{table}[h]
\centering
\begin{tabular}{lllllll}
\input{arclinelist}
\end{tabular}
\caption{List of the arc lamp emission l | ines used for the wavelength calibration and PSF fit. Wavelength are in \AA\ in vacuum. Ambiguous lines have been discarded, but some blended lines have been kept as they are correctly handled during the PSF fit. Most faint lines have been ignored except in the wavelength regions where brighter lines are missing or whe... |
{'timestamp': '2022-09-30T02:08:51', 'yymm': '2209', 'arxiv_id': '2209.14597', 'language': 'en', 'url': 'https://arxiv.org/abs/2209.14597'} | arxiv | \section{Introduction}
Liquid Crystal (LC) technologies are starting to be studied at mm-wave bands in order to develop tunable devices that work properly at those frequency ranges. Because of its bi | refringence, by applying a low-frequency electric field to a cavity containing nematic LC, its electromagnetic properties can be varied and therefore the device response changes \cite{fundLC}. This phenomenon has been widely used in optics to develop LC displays and other devices such as spatial phase modulators \cite{... |
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