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Parallel implementation of the coupled harmonic oscillator
This article presents the parallel implementation of the coupled harmonic oscillator. From the analytical solution of the coupled harmonic oscillator, the design parameters are obtained. After that, a numerical integration of the system with MATLAB, which is used as a tool of benchmark evaluation, is performed. Next,...
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TiEV: The Tongji Intelligent Electric Vehicle in the Intelligent Vehicle Future Challenge of China
TiEV is an autonomous driving platform implemented by Tongji University of China. The vehicle is drive-by-wire and is fully powered by electricity. We devised the software system of TiEV from scratch, which is capable of driving the vehicle autonomously in urban paths as well as on fast express roads. We describe our...
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Towards Decoding as Continuous Optimization in Neural Machine Translation
We propose a novel decoding approach for neural machine translation (NMT) based on continuous optimisation. We convert decoding - basically a discrete optimization problem - into a continuous optimization problem. The resulting constrained continuous optimisation problem is then tackled using gradient-based methods. ...
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A tail cone version of the Halpern-Läuchli theorem at a large cardinal
The classical Halpern-Läuchli theorem states that for any finite coloring of a finite product of finitely branching perfect trees of height $\omega$, there exist strong subtrees sharing the same level set such that tuples consisting of elements lying on the same level get the same color. Relative to large cardinals, ...
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Over the Air Deep Learning Based Radio Signal Classification
We conduct an in depth study on the performance of deep learning based radio signal classification for radio communications signals. We consider a rigorous baseline method using higher order moments and strong boosted gradient tree classification and compare performance between the two approaches across a range of co...
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On conditional parity as a notion of non-discrimination in machine learning
We identify conditional parity as a general notion of non-discrimination in machine learning. In fact, several recently proposed notions of non-discrimination, including a few counterfactual notions, are instances of conditional parity. We show that conditional parity is amenable to statistical analysis by studying r...
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A Low-Complexity Approach to Distributed Cooperative Caching with Geographic Constraints
We consider caching in cellular networks in which each base station is equipped with a cache that can store a limited number of files. The popularity of the files is known and the goal is to place files in the caches such that the probability that a user at an arbitrary location in the plane will find the file that s...
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Linear, Second order and Unconditionally Energy Stable schemes for a phase-field moving contact line Model
In this paper, we consider the numerical approximations for solving a hydrodynamics coupled phase field model consisting of incompressible Navier-Stokes equations with generalized Navier boundary conditions, and the Cahn-Hilliard equation with dynamic moving contact line boundary conditions. The main challenging issu...
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On Security and Sparsity of Linear Classifiers for Adversarial Settings
Machine-learning techniques are widely used in security-related applications, like spam and malware detection. However, in such settings, they have been shown to be vulnerable to adversarial attacks, including the deliberate manipulation of data at test time to evade detection. In this work, we focus on the vulnerabi...
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Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines
The sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact line problem are studied by asymptotic analysis and numerical simulations. The effects of the {mobility} number as well as a phenomenological relaxation parameter in the boundary condition are consid...
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Notes on Discrete Compound Poisson Point Process and Its Concentration Inequalities
The first part of this notes provides a new characterization for discrete compound Poisson point process (proposed by {Acz{é}l} [Acta~Math.~Hungar.~3(3)(1952), 219-224.]), which extends the characterization of Poisson point process given by Copeland and Regan [Ann.~Math.~(1936): 357-362.]. Next, we derive some concen...
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Characteristic cycles of highest weight Harish-Chandra modules
Characteristic cycles and leading term cycles of irreducible highest weight Harish-Chandra modules of regular integral infinitesimal character are determined. In the simply laced cases they are irreducible, but in the nonsimply laced cases they are more complicated.
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Assessing the effect of advertising expenditures upon sales: a Bayesian structural time series model
We propose a robust implementation of the Nerlove--Arrow model using a Bayesian structural time series model to explain the relationship between advertising expenditures of a country-wide fast-food franchise network with its weekly sales. Thanks to the flexibility and modularity of the model, it is well suited to gen...
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Anytime Exact Belief Propagation
Statistical Relational Models and, more recently, Probabilistic Programming, have been making strides towards an integration of logic and probabilistic reasoning. A natural expectation for this project is that a probabilistic logic reasoning algorithm reduces to a logic reasoning algorithm when provided a model that ...
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Appropriate conditions to realize a $p$-wave superfluid state starting from a spin-orbit coupled $s$-wave superfluid Fermi gas
We theoretically investigate a spin-orbit coupled $s$-wave superfluid Fermi gas, to examine the time evolution of the system, after an $s$-wave pairing interaction is replaced by a $p$-wave one at $t=0$. In our recent paper, we proposed that this manipulation may realize a $p$-wave superfluid Fermi gas, because the $...
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On the vanishing of self extensions over Cohen-Macaulay local rings
The celebrated Auslander-Reiten Conjecture, on the vanishing of self extensions of a module, is one of the long-standing conjectures in ring theory. Although it is still open, there are several results in the literature that establish the conjecture over Gorenstein rings under certain conditions. The purpose of this ...
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Finite Temperature Phase Diagrams of a Two-band Model of Superconductivity
We explore the temperature effects in the superconducting phases of a hybridized two-band system. We show that for zero hybridization between the bands, there are two different critical temperatures. However, for any finite hybridization there are only one critical temperature at which the two gaps vanish simultaneou...
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Detecting Multiple Change Points Using Adaptive Regression Splines with Application to Neural Recordings
Time series, as frequently the case in neuroscience, are rarely stationary, but often exhibit abrupt changes due to attractor transitions or bifurcations in the dynamical systems producing them. A plethora of methods for detecting such change points in time series statistics have been developed over the years, in add...
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The Automorphism Group of Hall's Universal Group
We study the automorphism group of Hall's universal locally finite group $H$. We show that in $Aut(H)$ every subgroup of index $< 2^\omega$ lies between the pointwise and the setwise stabilizer of a unique finite subgroup $A$ of $H$, and use this to prove that $Aut(H)$ is complete. We further show that $Inn(H)$ is th...
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On Atiyah-Singer and Atiyah-Bott for finite abstract simplicial complexes
A linear or multi-linear valuation on a finite abstract simplicial complex can be expressed as an analytic index dim(ker(D)) -dim(ker(D^*)) of a differential complex D:E -> F. In the discrete, a complex D can be called elliptic if a McKean-Singer spectral symmetry applies as this implies str(exp(-t D^2)) is t-indepen...
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Evolution of macromolecular structure: a 'double tale' of biological accretion
The evolution of structure in biology is driven by accretion and change. Accretion brings together disparate parts to form bigger wholes. Change provides opportunities for growth and innovation. Here we review patterns and processes that are responsible for a 'double tale' of evolutionary accretion at various levels ...
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An estimate of the root mean square error incurred when approximating an $f \in L^2({\mathbb{R}})$ by a partial sum of its Hermite series
Let $f$ be a band-limited function in $L^2({\mathbb{R}})$. Fix $T >0$ and suppose $f^{\prime}$ exists and is integrable on $[-T, T]$. This paper gives a concrete estimate of the error incurred when approximating $f$ in the root mean square by a partial sum of its Hermite series. Specifically, we show, for $K=2n, \qua...
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Learning Topic-Sensitive Word Representations
Distributed word representations are widely used for modeling words in NLP tasks. Most of the existing models generate one representation per word and do not consider different meanings of a word. We present two approaches to learn multiple topic-sensitive representations per word by using Hierarchical Dirichlet Proc...
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Celestial Walk: A Terminating Oblivious Walk for Convex Subdivisions
We present a new oblivious walking strategy for convex subdivisions. Our walk is faster than the straight walk and more generally applicable than the visibility walk. To prove termination of our walk we use a novel monotonically decreasing distance measure.
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Kernel k-Groups via Hartigan's Method
Energy statistics was proposed by Székely in the 80's inspired by Newton's gravitational potential in classical mechanics, and it provides a model-free hypothesis test for equality of distributions. In its original form, energy statistics was formulated in Euclidean spaces. More recently, it was generalized to metric...
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Estimators of the correlation coefficient in the bivariate exponential distribution
A finite-support constraint on the parameter space is used to derive a lower bound on the error of an estimator of the correlation coefficient in the bivariate exponential distribution. The bound is then exploited to examine optimality of three estimators, each being a nonlinear function of moments of exponential or ...
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A theoretical framework for retinal computations: insights from textbook knowledge
Neural circuits in the retina divide the incoming visual scene into more than a dozen distinct representations that are sent on to central brain areas, such as the lateral geniculate nucleus and the superior colliculus. The retina can be viewed as a parallel image processor made of a multitude of small computational ...
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Learning to Associate Words and Images Using a Large-scale Graph
We develop an approach for unsupervised learning of associations between co-occurring perceptual events using a large graph. We applied this approach to successfully solve the image captcha of China's railroad system. The approach is based on the principle of suspicious coincidence. In this particular problem, a user...
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A dichotomy theorem for nonuniform CSPs
In this paper we prove the Dichotomy Conjecture on the complexity of nonuniform constraint satisfaction problems posed by Feder and Vardi.
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Transition from Weak Wave Turbulence to Soliton-Gas
We report an experimental investigation of the effect of finite depth on the statistical properties of wave turbulence at the surface of water in the gravity-capillary range. We tune the wave dispersion and the level of nonlinearity by modifying the depth of water and the forcing respectively. We use space-time resol...
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Hybrid Forecasting of Chaotic Processes: Using Machine Learning in Conjunction with a Knowledge-Based Model
A model-based approach to forecasting chaotic dynamical systems utilizes knowledge of the physical processes governing the dynamics to build an approximate mathematical model of the system. In contrast, machine learning techniques have demonstrated promising results for forecasting chaotic systems purely from past ti...
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Field-free perpendicular magnetization switching through domain wall motion in Pt/Co/Cr racetracks by spin orbit torques with the assistance of accompanying Joule heating effect
Heavy metal/ferromagnetic layers with perpendicular magnetic anisotropy (PMA) have potential applications for high-density information storage in racetrack memories and nonvolatile magnetic random access memories. Writing and erasing of information in these devices are carried out by domain wall (DW) motion and deter...
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On Generalizing Decidable Standard Prefix Classes of First-Order Logic
Recently, the separated fragment (SF) of first-order logic has been introduced. Its defining principle is that universally and existentially quantified variables may not occur together in atoms. SF properly generalizes both the Bernays-Schönfinkel-Ramsey (BSR) fragment and the relational monadic fragment. In this pap...
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Poisson traces, D-modules, and symplectic resolutions
We survey the theory of Poisson traces (or zeroth Poisson homology) developed by the authors in a series of recent papers. The goal is to understand this subtle invariant of (singular) Poisson varieties, conditions for it to be finite-dimensional, its relationship to the geometry and topology of symplectic resolution...
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Nonequilibrium transport and Electron-Glass effects in thin GexTe films
We report on results of nonequilibrium transport measurements made on thin films of germanium-telluride (Ge_xTe) at cryogenic temperatures. Owing to a rather large deviation from stoichiometry (app. 10% of Ge vacancies), these films exhibit p-type conductivity with carrier-concentration N>10^20cm^(-3) and can be made...
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Non-Gaussian Autoregressive Processes with Tukey g-and-h Transformations
When performing a time series analysis of continuous data, for example from climate or environmental problems, the assumption that the process is Gaussian is often violated. Therefore, we introduce two non-Gaussian autoregressive time series models that are able to fit skewed and heavy-tailed time series data. Our tw...
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Frequency responses of the K-Rb-$^{21}$Ne co-magnetometer
The frequency responses of the K-Rb-$^{21}$Ne co-magnetometer to magnetic field and exotic spin dependent forces are experimentally studied and simulated in this paper. Both the relationship between the output amplitude, the phase shift and frequencies are studied. The responses of magnetic field are experimentally i...
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Some new bounds of placement delivery arrays
Coded caching scheme is a technique which reduce the load during peak traffic times in a wireless network system. Placement delivery array (PDA in short) was first introduced by Yan et al.. It can be used to design coded caching scheme. In this paper, we prove some lower bounds of PDA on the element and some lower bo...
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Itineraries for Inverse Limits of Tent Maps: a Backward View
Previously published admissibility conditions for an element of $\{0,1\}^{\mathbb{Z}}$ to be the itinerary of a point of the inverse limit of a tent map are expressed in terms of forward orbits. We give necessary and sufficient conditions in terms of backward orbits, which is more natural for inverse limits. These ba...
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EmbedInsight: Automated Grading of Embedded Systems Assignments
Grading in embedded systems courses typically requires a face-to-face appointment between the student and the instructor because of experimental setups that are only available in laboratory facilities. Such a manual grading process is an impediment to both students and instructors. Students have to wait for several d...
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On the $p'$-subgraph of the Young graph
Let $p$ be a prime number. In this article we study the restriction to $\mathfrak{S}_{n-1}$ of irreducible characters of degree coprime to $p$ of $\mathfrak{S}_n$. In particular, we study the combinatorial properties of the subgraph $\mathbb{Y}_{p'}$ of the Young graph $\mathbb{Y}$. This is an extension to odd primes...
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Electronic origin of melting T-P curves of alkali metals with negative slope and minimum
Group I elements - alkali metals Li, Na, K, Rb and Cs - are examples of simple metals with one s electron in the valence band. Under pressure these elements display unusually complex structural behaviour transforming from close-packed to low symmetry open structures. Unexpectedly complex form was found for melting cu...
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Gene Shaving using influence function of a kernel method
Identifying significant subsets of the genes, gene shaving is an essential and challenging issue for biomedical research for a huge number of genes and the complex nature of biological networks,. Since positive definite kernel based methods on genomic information can improve the prediction of diseases, in this paper ...
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Compressing Green's function using intermediate representation between imaginary-time and real-frequency domains
New model-independent compact representations of imaginary-time data are presented in terms of the intermediate representation (IR) of analytical continuation. This is motivated by a recent numerical finding by the authors [J. Otsuki et al., arXiv:1702.03056]. We demonstrate the efficiency of the IR through continuou...
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Machine Learning for the Geosciences: Challenges and Opportunities
Geosciences is a field of great societal relevance that requires solutions to several urgent problems facing our humanity and the planet. As geosciences enters the era of big data, machine learning (ML) -- that has been widely successful in commercial domains -- offers immense potential to contribute to problems in g...
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Generalized singular value thresholding operator to affine matrix rank minimization problem
It is well known that the affine matrix rank minimization problem is NP-hard and all known algorithms for exactly solving it are doubly exponential in theory and in practice due to the combinational nature of the rank function. In this paper, a generalized singular value thresholding operator is generated to solve th...
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Unifying the Brascamp-Lieb Inequality and the Entropy Power Inequality
The entropy power inequality (EPI) and the Brascamp-Lieb inequality (BLI) can be viewed as information inequalities concerning entropies of linear transformations of random variables. The EPI provides lower bounds for the entropy of linear transformations of random vectors with independent components. The BLI, on the...
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Risk ratios for contagious outcomes
The risk ratio is a popular tool for summarizing the relationship between a binary covariate and outcome, even when outcomes may be dependent. Investigations of infectious disease outcomes in cohort studies of individuals embedded within clusters -- households, villages, or small groups -- often report risk ratios. E...
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Instrument Orientation-Based Metrics for Surgical Skill Evaluation in Robot-Assisted and Open Needle Driving
The technical skill of surgeons directly impacts patient outcomes. Advanced tracking systems enable the development of objective motion-based metrics for skill evaluation, but these metrics are not sufficient to evaluate the performance in complex surgical tasks. In this study, we developed metrics for surgical skill...
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Formal Methods for Adaptive Control of Dynamical Systems
We develop a method to control discrete-time systems with constant but initially unknown parameters from linear temporal logic (LTL) specifications. We introduce the notions of (non-deterministic) parametric and adaptive transition systems and show how to use tools from formal methods to compute adaptive control stra...
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Sublayer of Prandtl boundary layers
The aim of this paper is to investigate the stability of Prandtl boundary layers in the vanishing viscosity limit: $\nu \to 0$. In \cite{Grenier}, one of the authors proved that there exists no asymptotic expansion involving one Prandtl's boundary layer with thickness of order $\sqrt\nu$, which describes the inviscid...
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Effects of a Price limit Change on Market Stability at the Intraday Horizon in the Korean Stock Market
This paper investigates the effects of a price limit change on the volatility of the Korean stock market's (KRX) intraday stock price process. Based on the most recent transaction data from the KRX, which experienced a change in the price limit on June 15, 2015, we examine the change in realized variance after the pr...
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Adversarial Perturbations Against Real-Time Video Classification Systems
Recent research has demonstrated the brittleness of machine learning systems to adversarial perturbations. However, the studies have been mostly limited to perturbations on images and more generally, classification that does not deal with temporally varying inputs. In this paper we ask "Are adversarial perturbations ...
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Wasserstein Identity Testing
Uniformity testing and the more general identity testing are well studied problems in distributional property testing. Most previous work focuses on testing under $L_1$-distance. However, when the support is very large or even continuous, testing under $L_1$-distance may require a huge (even infinite) number of sampl...
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Concordances from differences of torus knots to $L$-space knots
It is known that connected sums of positive torus knots are not concordant to $L$-space knots. Here we consider differences of torus knots. The main result states that the subgroup of the concordance group generated by two positive torus knots contains no nontrivial $L$-space knots other than the torus knots themselv...
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The classification of Rokhlin flows on C*-algebras
We study flows on C*-algebras with the Rokhlin property. We show that every Kirchberg algebra carries a unique Rokhlin flow up to cocycle conjugacy, which confirms a long-standing conjecture of Kishimoto. We moreover present a classification theory for Rokhlin flows on C*-algebras satisfying certain technical propert...
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Unusual evolution of B_{c2} and T_c with inclined fields in restacked TaS_2 nanosheets
Recently we reported an enhanced superconductivity in restacked monolayer TaS_2 nanosheets compared with the bulk TaS_2, pointing to the exotic physical properties of low dimensional systems. Here we tune the superconducting properties of this system with magnetic field along different directions, where a strong Paul...
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Bounded game-theoretic semantics for modal mu-calculus
We introduce a new game-theoretic semantics (GTS) for the modal mu-calculus. Our so-called bounded GTS replaces parity games with novel alternative evaluation games where only finite paths arise. Infinite paths are not needed even when the considered transition system is infinite.
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Putative spin liquid in the triangle-based iridate Ba$_3$IrTi$_2$O$_9$
We report on thermodynamic, magnetization, and muon spin relaxation measurements of the strong spin-orbit coupled iridate Ba$_3$IrTi$_2$O$_9$, which constitutes a new frustration motif made up a mixture of edge- and corner-sharing triangles. In spite of strong antiferromagnetic exchange interaction of the order of 10...
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Herding behavior in cryptocurrency markets
There are no solid arguments to sustain that digital currencies are the future of online payments or the disruptive technology that some of its former participants declared when used to face critiques. This paper aims to solve the cryptocurrency puzzle from a behavioral finance perspective by finding the parallelism ...
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Los agujeros negros y las ondas del Doctor Einstein
We describe the main scientific developments that lead LIGO project to the detection of the gravitational waves: general relativity, black holes and gravitational waves predictions; numerical relativity and the collision and coalescence simulations of binary black holes and the development of different kind of gravit...
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Symmetries of flat manifolds, Jordan property and the general Zimmer program
We obtain a sufficient and necessary condition for a finite group that could act effectively on closed flat manifolds. Let $G=E_{n}(R)$ the elementary subgroup of a linear group, $EU_{n}(R,\Lambda )$ the elementary subgroup of a unitary group, $\mathrm{SAut}(F_{n})$ the special automorphism group of a free group or $...
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Hidden Fermi Liquidity and Topological Criticality in the Finite Temperature Kitaev Model
The fate of exotic spin liquid states with fractionalized excitations at finite temperature ($T$) is of great interest, since signatures of fractionalization manifest in finite-temperature ($T$) dynamics in real systems, above the tiny magnetic ordering scales. Here, we study a Jordan-Wigner fermionized Kitaev spin l...
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Semi-automated labelling of medical images: benefits of a collaborative work in the evaluation of prostate cancer in MRI
Purpose: The goal of this study is to show the advantage of a collaborative work in the annotation and evaluation of prostate cancer tissues from T2-weighted MRI compared to the commonly used double blind evaluation. Methods: The variability of medical findings focused on the prostate gland (central gland, peripheral...
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Lexical Features in Coreference Resolution: To be Used With Caution
Lexical features are a major source of information in state-of-the-art coreference resolvers. Lexical features implicitly model some of the linguistic phenomena at a fine granularity level. They are especially useful for representing the context of mentions. In this paper we investigate a drawback of using many lexic...
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Complete Semantics to empower Touristic Service Providers
The tourism industry has a significant impact on the world's economy, contributes 10.2% of the world's gross domestic product in 2016. It becomes a very competitive industry, where having a strong online presence is an essential aspect for business success. To achieve this goal, the proper usage of latest Web technol...
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Reducing variance in importance-weighted cross-validation under covariate shift
Covariate shift classification problems can in principle be tackled by importance-weighting of training samples. However, the sampling variance of the risk estimator is often scaled up dramatically by employing such weighting. One of the consequences of this is that during cross-validation -- when the importance-weig...
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Comparing Aggregators for Relational Probabilistic Models
Relational probabilistic models have the challenge of aggregation, where one variable depends on a population of other variables. Consider the problem of predicting gender from movie ratings; this is challenging because the number of movies per user and users per movie can vary greatly. Surprisingly, aggregation is n...
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The Sad State of Entrepreneurship in America: What Educators Can Do About It
The entrepreneurial scene suffers from a sick venture capital industry, a number of imponderable illogics, and, maybe, misplaced adulation from students and the public. The paper details these problems, finds root causes, and prescribes action for higher education professionals and institutions.
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Filtering Variational Objectives
When used as a surrogate objective for maximum likelihood estimation in latent variable models, the evidence lower bound (ELBO) produces state-of-the-art results. Inspired by this, we consider the extension of the ELBO to a family of lower bounds defined by a particle filter's estimator of the marginal likelihood, th...
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Annealing stability of magnetic tunnel junctions based on dual MgO free layers and [Co/Ni] based thin synthetic antiferromagnet fixed system
We study the annealing stability of bottom-pinned perpendicularly magnetized magnetic tunnel junctions based on dual MgO free layers and thin fixed systems comprising a hard [Co/Ni] multilayer antiferromagnetically coupled to thin a Co reference layer and a FeCoB polarizing layer. Using conventional magnetometry and ...
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The Eigenoption-Critic Framework
Eigenoptions (EOs) have been recently introduced as a promising idea for generating a diverse set of options through the graph Laplacian, having been shown to allow efficient exploration. Despite its initial promising results, a couple of issues in current algorithms limit its application, namely: (1) EO methods requ...
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A perturbation analysis of some Markov chains models with time-varying parameters
We study some regularity properties in locally stationary Markov models which are fundamental for controlling the bias of nonparametric kernel estimators. In particular, we provide an alternative to the standard notion of derivative process developed in the literature and that can be used for studying a wide class of...
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Exploring patterns of demand in bike sharing systems via replicated point process models
Understanding patterns of demand is fundamental for fleet management of bike sharing systems. In this paper we analyze data from the Divvy system of the city of Chicago. We show that the demand of bicycles can be modeled as a multivariate temporal point process, with each dimension corresponding to a bike station in ...
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High-performance nanoscale topological energy transduction
The realization of high-performance, small-footprint, on-chip inductors remains a challenge in radio-frequency and power microelectronics, where they perform vital energy transduction in filters and power converters. Modern planar inductors consist of metallic spirals that consume significant chip area, resulting in ...
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Multigrid-based inversion for volumetric radar imaging with asteroid interior reconstruction as a potential application
This study concentrates on advancing mathematical and computational methodology for radar tomography imaging in which the unknown volumetric velocity distribution of a wave within a bounded domain is to be reconstructed. Our goal is to enable effective simulation and inversion of a large amount of full-wave data with...
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Fluid dynamics of diving wedges
Diving induces large pressures during water entry, accompanied by the creation of cavity and water splash ejected from the free water surface. To minimize impact forces, divers streamline their shape at impact. Here, we investigate the impact forces and splash evolution of diving wedges as a function of the wedge ope...
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Scenic: Language-Based Scene Generation
Synthetic data has proved increasingly useful in both training and testing machine learning models such as neural networks. The major problem in synthetic data generation is producing meaningful data that is not simply random but reflects properties of real-world data or covers particular cases of interest. In this p...
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An exactly solvable model for Dynamic Nuclear polarization
We introduce a solvable model of driven fermions that elucidates the role of the localization transition in driven disordered magnets, as used in the context of dynamic nuclear polarization. Instead of spins, we study a set of non-interacting fermions that are coupled locally to nuclear spins and tend to hyperpolariz...
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The Research Data Alliance: Building Bridges to Enable Scientific Data Sharing
The Research Data Alliance is an international organization which aims at building the technical and sociological bridges that enable the open sharing of scientific data. It is a remarkable forum to discuss all the aspects of scientific data sharing with colleagues from all around the world: in November 2016, it has ...
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Modulated magnetic structure of Fe3PO7 as seen by 57Fe Mössbauer spectroscopy
The paper reports new results of the 57Fe Mössbauer measurements on Fe3PO4O3 powder sample recorded at various temperatures including the point of magnetic phase transition TN ~ 163K. The spectra measured above TN consist of quadrupole doublet with high quadrupole splitting of D300K ~ 1.10 mm/s, emphasizing that Fe3+...
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Mutation invariance for the zeroth coefficients of the colored HOMFLY polynomial
We show that the zeroth coefficient of the cables of the HOMFLY polynomial (colored HOMFLY polynomials) does not distinguish mutants. This makes a sharp contrast with the total HOMFLY polynomial whose 3-cables can distinguish mutants.
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Seasonal Variation of the Underground Cosmic Muon Flux Observed at Daya Bay
The Daya Bay Experiment consists of eight identically designed detectors located in three underground experimental halls named as EH1, EH2, EH3, with 250, 265 and 860 meters of water equivalent vertical overburden, respectively. Cosmic muon events have been recorded over a two-year period. The underground muon rate i...
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Valid Inference Corrected for Outlier Removal
Ordinary least square (OLS) estimation of a linear regression model is well-known to be highly sensitive to outliers. It is common practice to first identify and remove outliers by looking at the data then to fit OLS and form confidence intervals and p-values on the remaining data as if this were the original data co...
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On the error term of a lattice counting problem, II
Under the Riemann Hypothesis, we improve the error term in the asymptotic formula related to the counting lattice problem studied in a first part of this work. The improvement comes from the use of Weyl's bound for exponential sums of polynomials and a device due to Popov allowing us to get an improved main term in t...
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Gamma-Ray Emission from Arp 220: Indications of an Active Galactic Nucleus
Extragalactic cosmic ray populations are important diagnostic tools for tracking the distribution of energy in nuclei and for distinguishing between activity powered by star formation versus active galactic nuclei (AGNs). Here, we compare different diagnostics of the cosmic ray populations of the nuclei of Arp 220 ba...
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The fundamental factor of optical interference
It has been widely accepted that electric field alone is the fundamental factor for optical interference, since Wiener's experiments in 1890 proved that the electric field plays such a dominant role. A group of experiments were demonstrated against Wiener's experiments under the condition that the interference fringe...
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Evidence for a Dusty Dark Dwarf Galaxy in the Quadruple Lens MG0414+0534
We report the $4 \, \sigma$ detection of a faint object with a flux of ~ 0.3 mJy, in the vicinity of the quadruply lensed QSO MG0414+0534 using the Atacama Large Millimeter/submillimeter array (ALMA) Band 7. The object is most probably a dusty dark dwarf galaxy, which has not been detected in either the optical, near...
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Universal abstract elementary classes and locally multipresentable categories
We exhibit an equivalence between the model-theoretic framework of universal classes and the category-theoretic framework of locally multipresentable categories. We similarly give an equivalence between abstract elementary classes (AECs) admitting intersections and locally polypresentable categories. We use these res...
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q-Viscous Burgers' Equation: Dynamical Symmetry, Shock Solitons and q-Semiclassical Expansion
We propose new type of $q$-diffusive heat equation with nonsymmetric $q$-extension of the diffusion term. Written in relative gradient variables this system appears as the $q$- viscous Burgers' equation. Exact solutions of this equation in polynomial form as generalized Kampe de Feriet polynomials, corresponding dyna...
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Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains
We prove that for a strongly pseudoconvex domain $D\subset\mathbb C^n$, the infinitesimal Carathéodory metric $g_C(z,v)$ and the infinitesimal Kobayashi metric $g_K(z,v)$ coincide if $z$ is sufficiently close to $bD$ and if $v$ is sufficiently close to being tangential to $bD$. Also, we show that every two close poin...
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The strong ring of simplicial complexes
We define a ring R of geometric objects G generated by finite abstract simplicial complexes. To every G belongs Hodge Laplacian H as the square of the Dirac operator determining its cohomology and a unimodular connection matrix L). The sum of the matrix entries of the inverse of L is the Euler characteristic. The spe...
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Holonomy representation of quasi-projective leaves of codimension one foliations
We prove that a representation of the fundamental group of a quasi-projective manifold into the group of formal diffeomorphisms of one variable either is virtually abelian or, after taking the quotient by its center, factors through an orbicurve.
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Super Extensions of the Short Pulse Equation
From a super extension of the Wadati, Konno and Ichikawa scheme for integrable systems and using a $\mathrm{osp(1,2)}$ valued connection 1-form we obtain super generalizations for the Short Pulse equation as well for the Elastic Beam equation.
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Nonequational Stable Groups
We introduce a combinatorial criterion for verifying whether a formula is not the conjunction of an equation and a co-equation. Using this, we give a transparent proof for the nonequationality of the free group, which was originally proved by Sela. Furthermore, we extend this result to arbitrary free products of grou...
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Analyzing biological and artificial neural networks: challenges with opportunities for synergy?
Deep neural networks (DNNs) transform stimuli across multiple processing stages to produce representations that can be used to solve complex tasks, such as object recognition in images. However, a full understanding of how they achieve this remains elusive. The complexity of biological neural networks substantially e...
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Recurrences in an isolated quantum many-body system
Even though the evolution of an isolated quantum system is unitary, the complexity of interacting many-body systems prevents the observation of recurrences of quantum states for all but the smallest systems. For large systems one can not access the full complexity of the quantum states and the requirements to observe...
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Multiview Learning of Weighted Majority Vote by Bregman Divergence Minimization
We tackle the issue of classifier combinations when observations have multiple views. Our method jointly learns view-specific weighted majority vote classifiers (i.e. for each view) over a set of base voters, and a second weighted majority vote classifier over the set of these view-specific weighted majority vote cla...
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Temporal Overbooking of Lambda Functions in the Cloud
We consider the problem of scheduling "serverless computing" instances such as Amazon Lambda functions. Instead of a quota per tenant/customer, we assume demand for Lambda functions is modulated by token-bucket mechanisms per tenant. Based on an upper bound on the stationary number of active "Lambda servers" consider...
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Orbital degeneracy loci and applications
Degeneracy loci of morphisms between vector bundles have been used in a wide variety of situations. We introduce a vast generalization of this notion, based on orbit closures of algebraic groups in their linear representations. A preferred class of our orbital degeneracy loci is characterized by a certain crepancy co...
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