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Stanford course on Convolutional Neural Networks for Visual Recognition # Course Description Computer Vision has become ubiquitous in our society, with applications in search, image understanding, apps, mapping, medicine, drones, and self-driving cars. Core to many of these applications are visual recognition tasks such as image classification, localization and detection. Recent developments in neural network (aka “deep learning”) approaches have greatly advanced the performance of these...
Source: http://academictorrents.com/details/ed8a16ebb346e14119a03371665306609e485f13
Arxiv.org
by E. J. Hemingway; A. Clarke; J. R. A. Pearson; S. M. Fielding
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We study numerically two-dimensional creeping viscoelastic flow past a biperiodic square array of cylinders within the Oldroyd B, fene-CR and fene-P constitutive models of dilute polymer solutions. Our results capture the initial mild decrease then dramatic upturn ('thickening') seen experimentally in the drag coefficient as a function of increasing Weissenberg number. By systematically varying the porosity of the flow geometry, we demonstrate two qualitatively different mechanisms underpinning...
Topics: Fluid Dynamics, Physics, Condensed Matter, Soft Condensed Matter
Source: http://arxiv.org/abs/1701.04233
Two-particle angular correlations have long been used as an observable for measuring the initial-state partonic transverse momentum $k_T$. Sensitivity to this small transverse momentum scale allows nonperturbative transverse momentum dependent effects to be probed in high $p_T$ dihadron and direct photon-hadron correlations. The observable $p_{out}$, the out-of-plane transverse momentum component from a near-side $\pi^0$ or direct photon, is sensitive to initial-state $k_T$ and final-state...
Topics: High Energy Physics - Experiment, High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1701.00681
Arxiv.org
by Thomas R. Ayres
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A ROSAT survey of the Alpha Per open cluster in 1993 detected its brightest star, mid-F supergiant Alpha Persei: the X-ray luminosity and spectral hardness were similar to coronally active late-type dwarf members. Later, in 2010, a Hubble Cosmic Origins Spectrograph SNAPshot of Alpha Persei found far-ultraviolet coronal proxy SiIV unexpectedly weak. This, and a suspicious offset of the ROSAT source, suggested that a late-type companion might be responsible for the X-rays. Recently, a...
Topics: Solar and Stellar Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1702.01310
Arxiv.org
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We consider irreducible unitary representations $A_i$ of G=SO(n+1,1) with the same infinitesimal character as the trivial representation and representations $B_j$ of H=SO(n,1) with the same properties and discuss H-equivariant homomorphisms Hom_H($A_i,B_j$). For tempered representations our results confirm the predictions of conjectures by B. Gross and D. Prasad.
Topics: Number Theory, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1702.00263
Arxiv.org
by Alexander J. T. Gurney
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Some iterative calculations can be carried out by parallel communicating processors, and yield the same results whether or not the processors are synchronized. We show that this is the case if and only if the iteration is a contraction that is strict on orbits, with respect to an ultrametric defined on the state space. The maximum number of independent processors is given by the dimension of the space. We apply this theorem to interdomain routing, and are able to provide two advances over the...
Topics: Networking and Internet Architecture, Computing Research Repository
Source: http://arxiv.org/abs/1701.07434
Arxiv.org
by Han Li Qiao; Ezio Venturino
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An ecosystem made of nutrients, plants, detritus and dissolved oxygen is presented. Its equilibria are established. Sufficient conditions for the existence of the coexistence equilibrium are derived and its feasibility is discussed in every detail.
Topics: Populations and Evolution, Quantitative Biology
Source: http://arxiv.org/abs/1701.06931
Arxiv.org
by Rome Samanta; Mainak Chakraborty
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In a residual $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry approach, we investigate minimally perturbed Majorana neutrino mass matrices. Constraint relations among the low energy neutrino parameters are obtained. Baryogenesis is realized through flavored leptogenesis mechanism with quasi-degenerate right handed (RH) heavy neutrinos.
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.09579
Arxiv.org
by Manolis Savva; Angel X. Chang; Maneesh Agrawala
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We present SceneSuggest: an interactive 3D scene design system providing context-driven suggestions for 3D model retrieval and placement. Using a point-and-click metaphor we specify regions in a scene in which to automatically place and orient relevant 3D models. Candidate models are ranked using a set of static support, position, and orientation priors learned from 3D scenes. We show that our suggestions enable rapid assembly of indoor scenes. We perform a user study comparing suggestions to...
Topics: Human-Computer Interaction, Computing Research Repository, Graphics
Source: http://arxiv.org/abs/1703.00061
Arxiv.org
by Huajun Gong; Tao Huang; Jinkai Li
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For suitable initial and boundary data, we construct infinitely many weak solutions to the nematic liquid crystal flows in dimension three. These solutions are in the axisymmetric class with bounded energy and backward bubbling at a large time.
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1701.01502
Arxiv.org
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In this paper, we present and apply a computer-assisted method to study steady states of a triangular cross-diffusion system. Our approach consist in an a posteriori validation procedure, that is based on using a fxed point argument around a numerically computed solution, in the spirit of the Newton-Kantorovich theorem. It allows us to prove the existence of various non homogeneous steady states for different parameter values. In some situations, we get as many as 13 coexisting steady states....
Topics: Dynamical Systems, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1704.03827
Arxiv.org
by Tamal K. Dey; Alfred Rossi; Anastasios Sidiropoulos
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We study the problem of clustering sequences of unlabeled point sets taken from a common metric space. Such scenarios arise naturally in applications where a system or process is observed in distinct time intervals, such as biological surveys and contagious disease surveillance. In this more general setting existing algorithms for classical (i.e.~static) clustering problems are not applicable anymore. We propose a set of optimization problems which we collectively refer to as 'temporal...
Topics: Data Structures and Algorithms, Computing Research Repository
Source: http://arxiv.org/abs/1704.05964
Arxiv.org
by Luca Franceschi; Michele Donini; Paolo Frasconi; Massimiliano Pontil
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We study two procedures (reverse-mode and forward-mode) for computing the gradient of the validation error with respect to the hyperparameters of any iterative learning algorithm such as stochastic gradient descent. These procedures mirror two methods of computing gradients for recurrent neural networks and have different trade-offs in terms of running time and space requirements. Our formulation of the reverse-mode procedure is linked to previous work by Maclaurin et al. [2015] but does not...
Topics: Machine Learning, Statistics
Source: http://arxiv.org/abs/1703.01785
Arxiv.org
by Ling-Yu Duan; Vijay Chandrasekhar; Shiqi Wang; Yihang Lou; Jie Lin; Yan Bai; Tiejun Huang; Alex Chichung Kot; Wen Gao
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This paper provides an overview of the on-going compact descriptors for video analysis standard (CDVA) from the ISO/IEC moving pictures experts group (MPEG). MPEG-CDVA targets at defining a standardized bitstream syntax to enable interoperability in the context of video analysis applications. During the developments of MPEGCDVA, a series of techniques aiming to reduce the descriptor size and improve the video representation ability have been proposed. This article describes the new standard...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1704.08141
Arxiv.org
by Alex Bullivant; Marcos Calcada; Zoltán Kádár; João Faria Martins; Paul Martin
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We show that a proposed construction for higher lattice gauge theory is well-defined, including in particular a Hamiltonian for topological phases in 3+1 dimensions. Our construction builds upon the Kitaev quantum double model replacing the finite gauge connection with a finite 2-group connection. Our Hamiltonian higher lattice gauge theory is defined on spatial manifolds of arbitrary dimension presented by (regular) CW-decompositions. We prove that the ground-state degeneracy of Hamiltonian...
Topics: Strongly Correlated Electrons, High Energy Physics - Theory, Condensed Matter, Mathematical...
Source: http://arxiv.org/abs/1702.00868
Arxiv.org
by Caitlin E Buck; Miguel Juarez
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Due to freely available, tailored software, Bayesian statistics is fast becoming the dominant paradigm in archaeological chronology construction. Such software provides users with powerful tools for Bayesian inference for chronological models with little need to undertake formal study of statistical modelling or computer programming. This runs the risk that it is reduced to the status of a black-box which is not sensible given the power and complexity of the modelling tools it implements. In...
Topics: Statistics, Applications
Source: http://arxiv.org/abs/1704.07141
Arxiv.org
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If a magnetic polarization excess is locally injected in a crystal of interacting spins, this "excitation" would spread as consequence of spin-spin interactions. Such an apparently irreversible process is known as spin diffusion and it can lead the system back to "equilibrium". Even so, a unitary quantum dynamics would ensure a precise memory of the non-equilibrium initial condition. Then, if at certain time, say $t/2$, an experimental protocol reverses the many-body...
Topics: Statistical Mechanics, Quantum Physics, Condensed Matter
Source: http://arxiv.org/abs/1702.01475
Arxiv.org
by Mahir Bilen Can
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We investigate the poset of SL(n) orbit closures in the product of two partial flag varieties. In particular we prove that it is always a lattice.
Topics: Algebraic Geometry, Combinatorics, Mathematics
Source: http://arxiv.org/abs/1703.03955
Arxiv.org
by Arnaud Triay
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We consider N trapped bosons in R 3 interacting via a pair potential w which has a long range of dipolar type. We show the convergence of the energy and of the minimizers for the many-body problem towards those of the dipolar Gross-Pitaevskii functional, when N tends to infinity. In addition to the usual cubic interaction term, the latter has the long range dipolar interaction. Our results hold under the assumption that the two-particle interaction is scaled in the form N 3$\beta$--1 w(N...
Topics: Quantum Gases, Condensed Matter, Mathematical Physics, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.03746
Arxiv.org
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Several papers have achieved time $O(\sqrt n m)$ for cardinality matching, starting from first principles. This results in a long derivation. We simplify the task by employing well-known concepts for maximum weight matching. We use Edmonds' algorithm to derive the structure of shortest augmenting paths. We extend this to a complete algorithm for maximum cardinality matching in time $O(\sqrt n m)$.
Topics: Data Structures and Algorithms, Computing Research Repository
Source: http://arxiv.org/abs/1703.03998
Arxiv.org
by Lukas On Arnold; for the SoLid collaboration
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SoLid, located at SCK-CEN in Mol, Belgium, is a reactor antineutrino experiment at a very short baseline of 5.5 -- 10m aiming at the search for sterile neutrinos and for high precision measurement of the neutrino energy spectrum of Uranium-235. It uses a novel approach using Lithium-6 sheets and PVT cubes as scintillators for tagging the Inverse Beta-Decay products (neutron and positron). Being located overground and close to the BR2 research reactor, the experiment faces a large amount of...
Topics: Physics, High Energy Physics - Experiment, Computing Research Repository, Instrumentation and...
Source: http://arxiv.org/abs/1704.04706
Arxiv.org
by Ali Passian; George Siopsis
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New classical modalities of atomic force microscopy continue to emerge to achieve higher spatial, spectral, and temporal resolution for nanometrology of materials. Here, we introduce the concept of a quantum mechanical modality that capitalizes on squeezed states of probe displacement. We show that such squeezing is enabled nanomechanically when the probe enters the van der Waals regime of interaction with a sample. The effect is studied in the non-contact mode, where we consider the parameter...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1703.08077
Arxiv.org
by A. P. Balachandran; Arshad Momen; Amilcar R. de Queiroz
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Time-independent gauge transformations are implemented in the canonical formalism by the Gauss law which is not covariant. The covariant form of Gauss law is conceptually important for studying asymptotic properties of the gauge fields. For QED in $3+1$ dimensions, we have developed a formalism for treating the equations of motion (EOM) themselves as constraints, that is, constraints on states using Peierls' quantization. They generate spacetime dependent gauge transformations. We extend these...
Topics: High Energy Physics - Theory, General Relativity and Quantum Cosmology, Mathematical Physics,...
Source: http://arxiv.org/abs/1704.07492
Arxiv.org
by F. F. Karpeshin; M. B. Trzhaskovskaya; L. F. Vitushkin
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Contemporary data are analyzed concerning the half-lives of the $^{229m}$Th isomer in neutral atoms and various ions. It is explicitly shown that the isomer lifetime may strongly depend on the plain environmental physical conditions like pressure and temperature. Calculation is performed on the united platform of interplay of traditional and subthreshold resonance conversion. General agreement with experiment is obtained in the cases of Th$^I$ and Th$^{III}$, a prediction is made concerning...
Topic: Nuclear Theory
Source: http://arxiv.org/abs/1701.05340
Arxiv.org
by Harald Garcke; Kei Fong Lam; Robert Nürnberg; Emanuel Sitka
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We derive a Cahn-Hilliard-Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous occurrence of proliferating, quiescent and necrotic regions. Via a coupling of the Cahn-Hilliard-Darcy equations to a system of reaction-diffusion equations a multitude of phenomena such as nutrient diffusion and consumption, angiogenesis, hypoxia, blood vessel growth, and inhibition by toxic agents, which are released for example...
Topics: Tissues and Organs, Quantitative Biology, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1701.06656
Arxiv.org
by Ivan N. Dushkov; Ivan Jordanov; Nikolay K. Vitanov
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Mathematical models of interacting populations are often constructed as systems of differential equations, which describe how populations change with time. Below we study one such model connected to the nonlinear dynamics of a system of populations in presence of time delay. The consequence of the presence of the time delay is that the nonlinear dynamics of the studied system become more rich, e.g., new orbits in the phase space of the system arise which are dependent on the time-delay...
Topics: Chaotic Dynamics, Nonlinear Sciences
Source: http://arxiv.org/abs/1701.08130
Arxiv.org
by Taposh Banerjee; Alfred O. Hero
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A sequential test is proposed for detection and isolation of hubs in a correlation graph. Hubs in a correlation graph of a random vector are variables (nodes) that have a strong correlation edge. It is assumed that the random vectors are high-dimensional and are multivariate Gaussian distributed. The test employs a family of novel local and global summary statistics generated from small samples of the random vectors. Delay and false alarm analysis of the test is obtained and numerical results...
Topics: Statistics Theory, Information Theory, Statistics, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.01225
Arxiv.org
by Sara C. Billey; Alexander E. Holroyd; Benjamin Young
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We give a bijective proof of Macdonald's reduced word identity using pipe dreams and Little's bumping algorithm. This proof extends to a principal specialization due to Fomin and Stanley. Such a proof has been sought for over 20 years. Our bijective tools also allow us to solve a problem posed by Fomin and Kirillov from 1997 using work of Wachs, Lenart, Serrano and Stump. These results extend earlier work by the third author on a Markov process for reduced words of the longest permutation.
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1702.02936
Arxiv.org
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We consider a two-phase elliptic-parabolic moving boundary problem modelling an evaporation front in a porous medium. Our main result is a proof of short-time existence and uniqueness of strong solutions to the corresponding nonlinear evolution problem in an $L_{p}$-setting. It relies critically on nonstandard optimal regularity results for a linear elliptic-parabolic system with dynamic boundary condition.
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1702.04530
Arxiv.org
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Generative model has been one of the most common approaches for solving the Dialog State Tracking Problem with the capabilities to model the dialog hypotheses in an explicit manner. The most important task in such Bayesian networks models is constructing the most reliable user models by learning and reflecting the training data into the probability distribution of user actions conditional on networks states. This paper provides an overall picture of the learning process in a Bayesian framework...
Topics: Artificial Intelligence, Computing Research Repository
Source: http://arxiv.org/abs/1702.06199
Arxiv.org
by Dieter H. Nickeler; Thomas Wiegelmann; Marian Karlicky; Michaela Kraus
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Many magnetic structures in the solar atmosphere evolve rather slowly so that they can be assumed as (quasi-)static or (quasi-)stationary and represented via magneto-hydrostatic (MHS) or stationary magneto-hydrodynamic (MHD) equilibria, respectively. While exact 3D solutions would be desired, they are extremely difficult to find in stationary MHD. We construct solutions with magnetic and flow vector fields that have three components depending on all three coordinates. We show that the...
Topics: Plasma Physics, Physics, Solar and Stellar Astrophysics, Astrophysics, Space Physics
Source: http://arxiv.org/abs/1702.03986
Arxiv.org
by Lenz Belzner
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This paper proposes Monte Carlo Action Programming, a programming language framework for autonomous systems that act in large probabilistic state spaces with high branching factors. It comprises formal syntax and semantics of a nondeterministic action programming language. The language is interpreted stochastically via Monte Carlo Tree Search. Effectiveness of the approach is shown empirically.
Topics: Artificial Intelligence, Computing Research Repository, Programming Languages
Source: http://arxiv.org/abs/1702.08441
Robust clustering from incomplete data is an important topic because, in many practical situations, real data sets are heavy-tailed, asymmetric, and/or have arbitrary patterns of missing observations. Flexible methods and algorithms for model-based clustering are presented via mixture of the generalized hyperbolic distributions and its limiting case, the mixture of multivariate skew-t distributions. An analytically feasible EM algorithm is formulated for parameter estimation and imputation of...
Topics: Computation, Statistics, Methodology
Source: http://arxiv.org/abs/1703.02177
Arxiv.org
by Shradha Mishra; Sudipta Pattanayak
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We study a collection of polar self-propelled particles confined to a long two-dimensional channel. We write the coupled hydrodynamic equations of motion for density and polarisation order parameter. At two confined boundaries, density is fixed to the mean and orientation is anti-parallel with fixed magnitude of polarisation. Such boundary conditions make our system similar to a sheared suspension of self-propelled particles, which has many practical applications. Antiparallel alignment at the...
Topics: Fluid Dynamics, Physics, Condensed Matter, Soft Condensed Matter, Biological Physics
Source: http://arxiv.org/abs/1703.00225
Arxiv.org
by Felipe Bottega Diniz
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It is well known the concept of the condition number $\kappa(A) = \|A\|\|A^{-1}\|$, where $A$ is a $n \times n$ real or complex matrix and the norm used is the spectral norm. Although it is very common to think in $\kappa(A)$ as "the" condition number of $A$, the truth is that condition numbers are associated to problems, not just instance of problems. Our goal is to clarify this difference. We will introduce the general concept of condition number and apply it to the particular case...
Topics: General Mathematics, Mathematics
Source: http://arxiv.org/abs/1703.04547
Arxiv.org
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Quora is one of the most popular community Q&A sites of recent times. However, many question posts on this Q&A site often do not get answered. In this paper, we quantify various linguistic activities that discriminates an answered question from an unanswered one. Our central finding is that the way users use language while writing the question text can be a very effective means to characterize answerability. This characterization helps us to predict early if a question remaining...
Topics: Computing Research Repository, Social and Information Networks, Computation and Language
Source: http://arxiv.org/abs/1703.04001
Arxiv.org
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We study the phase diagram of quantum Hall bilayer systems with total filing $\nu_T=1/2+1/2$ of the lowest Landau level as a function of layer distances $d$. Based on numerical exact diagonalization calculations, we obtain three distinct phases, including an exciton superfluid phase with spontaneous interlayer coherence at small $d$, a composite Fermi liquid at large $d$, and an intermediate phase for $1.1
Topics: Strongly Correlated Electrons, Condensed Matter
Source: http://arxiv.org/abs/1703.08463
Arxiv.org
by Cosimo C. Rusconi; Vera Pöchhacker; Katja Kustura; J. Ignacio Cirac; Oriol Romero-Isart
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We theoretically show that, despite Earnshaw's theorem, a non-rotating single magnetic domain nanoparticle can be stably levitated in an external static magnetic field. The stabilization relies on the quantum spin origin of magnetization, namely the gyromagnetic effect. We predict the existence of two stable phases related to the Einstein--de Haas effect and the Larmor precession. At a stable point, we derive a quadratic Hamiltonian that describes the quantum fluctuations of the degrees of...
Topics: Mesoscale and Nanoscale Physics, Quantum Physics, Condensed Matter
Source: http://arxiv.org/abs/1703.09346
Arxiv.org
by Andrey Badanin; Evgeny L. Korotyaev
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We consider resonances for fourth order differential operators on the half-line with compactly supported coefficients. We determine asymptotics of a counting function of resonances in complex discs at large radius, describe the forbidden domain for resonances and obtain trace formulas in terms of resonances. We apply these results to the Euler-Bernoulli operator on the half-line. The coefficients of this operator are positive and constants outside a finite interval. We show that this operator...
Topics: Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1704.00499
Arxiv.org
by Joan Camunas-Soler; Anna Alemany; Felix Ritort
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Thermodynamic bulk measurements of binding reactions critically rely on the validity of the law of mass action and the assumption of a dilute solution. Yet important biological systems such as allosteric ligand-receptor binding, macromolecular crowding, or misfolded molecules may not follow this fundamental law and require a particular reaction model. Here we introduce a fluctuation theorem for ligand binding and an experimental approach using single-molecule force-spectroscopy to determine...
Topics: Physics, Condensed Matter, Biomolecules, Biological Physics, Soft Condensed Matter, Chemical...
Source: http://arxiv.org/abs/1703.10346
Arxiv.org
by Manuel Baumgartner; Kevin Garello; Johannes Mendil; Can Onur Avci; Eva Grimaldi; Christoph Murer; Junxiao Feng; Mihai Gabureac; Christian Stamm; Yves Acremann; Simone Finizio; Sebastian Wintz; Jörg Raabe; Pietro Gambardella
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Current-induced spin-orbit torques (SOTs) represent one of the most effective ways to manipulate the magnetization in spintronic devices. The orthogonal torque-magnetization geometry, the strong damping, and the large domain wall velocities inherent to materials with strong spin-orbit coupling make SOTs especially appealing for fast switching applications in nonvolatile memory and logic units. So far, however, the timescale and evolution of the magnetization during the switching process have...
Topics: Materials Science, Condensed Matter, Mesoscale and Nanoscale Physics
Source: http://arxiv.org/abs/1704.06402
Arxiv.org
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A detailed study of graded frame, graded fuzzy topological system and fuzzy topological space with graded inclusion is already done in our earlier paper. The notions of graded fuzzy topological system and fuzzy topological space with graded inclusion were obtained via fuzzy geometric logic with graded con- sequence. As an off shoot the notion of graded frame has been developed. This paper deals with a detailed categorical study of graded frame, graded fuzzy topological system and fuzzy...
Topics: General Mathematics, Mathematics
Source: http://arxiv.org/abs/1704.08112
Arxiv.org
by Daniel V. Mathews
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This article is an exposition of a body of existing results, together with an announcement of recent results. We discuss a theory of polytopes associated to bipartite graphs and trinities, developed by K\'alm\'an, Postnikov and others. This theory exhibits a variety of interesting duality and triality relations, and extends into knot theory, 3-manifold topology and Floer homology. In recent joint work with K\'alm\'an, we extend this story into contact topology and contact invariants in sutured...
Topics: Symplectic Geometry, Combinatorics, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1702.03630
Arxiv.org
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The use of unmanned aerial vehicles (UAVs) as delivery systems of online goods is rapidly becoming a global norm, as corroborated by Amazon's "Prime Air" and Google's "Project Wing" projects. However, the real-world deployment of such drone delivery systems faces many cyber-physical security challenges. In this paper, a novel mathematical framework for analyzing and enhancing the security of drone delivery systems is introduced. In this regard, a zero-sum network...
Topics: Information Theory, Computer Science and Game Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.04240
Arxiv.org
by Cheng Wang; Mian Zhang; Brian Stern; Michal Lipson; Marko Loncar
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Modern communication networks require high performance and scalable electro-optic modulators that convert electrical signals to optical signals at high speed. Existing lithium niobate modulators have excellent performance but are bulky and prohibitively expensive to scale up. Here we demonstrate scalable and high-performance nanophotonic electro-optic modulators made of single-crystalline lithium niobate microring resonators and micro-Mach-Zehnder interferometers. We show a half-wave...
Topics: Optics, Physics, Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1701.06470
Arxiv.org
by Mohammed Mesk; Mohammed Brahim Zahaf
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We investigate polynomial sets {P n } n$\ge$0 with generating power series of the form F (xt -- R(t)) and satisfying, for n $\ge$ 0, the (d + 1)-order recursion xP\_ n (x) = P\_{ n+1 }(x) +\sum\_{ l=0}^{d} \gamma^{l}\_{n} P\_{ n--l} (x), where \ {\gamma ^{l}\_{ n}\ } is a complex sequence for 0 $\le$ l $\le$ d, P \_0 (x) = 1 and P \_n (x) = 0 for all negative integer n. We show that the formal power series R(t) is a polynomial of degree at most d + 1 if certain coefficients of R(t) are null or...
Topics: Classical Analysis and ODEs, Combinatorics, Mathematics
Source: http://arxiv.org/abs/1703.03314
Arxiv.org
by Tatsuya Ohno; Yoshimasa Takabatake; Tomohiro I; Hiroshi Sakamoto
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We propose a faster algorithm for run-length BWT (RLBWT) in run-compressed space. We improve the state-of-the-art algorithm for RLBWT in terms of empirical construction time. Adopting the dynamic list for maintaining a total order, we can replace rank queries in a dynamic wavelet tree on a run-length compressed string by the direct comparison of labels in a dynamic list. The empirical result for various benchmarks show the efficiency of our algorithm, especially for highly repetitive strings....
Topics: Data Structures and Algorithms, Computing Research Repository
Source: http://arxiv.org/abs/1704.05233
Arxiv.org
by Danial Faghihi; Varis Carey; Craig Michoski; Robert Hager; Salomon Janhunen; Choong-Seock Chang; Robert Moser
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In simulations of plasmas using particle-in-cell methods, it is often advantageous to resample the particle distribution function to increase simulation accuracy, to reduce the computing cost, or to avoid numerical instabilities. An algorithm for down-sampling the particles to a smaller number is proposed here. To minimize noise introduced by the down-sampling, the algorithm is designed to preserve important properties of the particle distribution, particularly low-order moments and local...
Topics: Plasma Physics, Physics
Source: http://arxiv.org/abs/1702.05198
Arxiv.org
by Patrick M. Wensing; Sangbae Kim; Jean-Jacques Slotine
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With the increased application of model-based whole-body control methods in legged robots, there has been an resurgence of interest in system identification strategies and adaptive control. An important class of methods relates to the identification of inertia parameters for rigid-body systems. For each link, these consist of the mass, first mass moment (related to center of mass location), and 3D rotational inertia tensor. The main contribution of this paper is to formulate...
Topics: Computing Research Repository, Robotics
Source: http://arxiv.org/abs/1701.04395
Arxiv.org
by Courtney D. Dressing; Elisabeth R. Newton; Joshua E. Schlieder; David Charbonneau; Heather A. Knutson; Andrew Vanderburg
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We present near-infrared spectra for 144 candidate planetary systems identified during Campaigns 1-7 of the NASA K2 Mission. The goal of the survey was to characterize planets orbiting low-mass stars, but our IRTF/SpeX and Palomar/TripleSpec spectroscopic observations revealed that 49% of our targets were actually giant stars or hotter dwarfs reddened by interstellar extinction. For the 72 stars with spectra consistent with classification as cool dwarfs (spectral types K3 - M4), we refined...
Topics: Solar and Stellar Astrophysics, Astrophysics, Earth and Planetary Astrophysics
Source: http://arxiv.org/abs/1701.00586
Arxiv.org
by Therese Biedl; Philippe Demontigny
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In this paper, we study planar drawings of maximal outerplanar graphs with the objective of achieving small height. A recent paper gave an algorithm for such drawings that is within a factor of 4 of the optimum height. In this paper, we substantially improve the approximation factor to become 2. The main ingredient is to define a new parameter of outerplanar graphs (the so-called umbrella depth, obtained by recursively splitting the graph into graphs called umbrellas). We argue that the height...
Topics: Computational Geometry, Data Structures and Algorithms, Computing Research Repository
Source: http://arxiv.org/abs/1702.01719
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by George H. Jacoby; Orsola De Marco; James Davies; I. Lotarevich; Howard E. Bond; J. Patrick Harrington; Thierry Lanz
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The globular cluster (GC) system of our Galaxy contains four planetary nebulae (PNe): K 648 (or Ps 1) in M15, IRAS 18333-2357 in M22, JaFu 1 in Pal 6, and JaFu 2 in NGC 6441. Because single-star evolution at the low stellar mass of present-epoch GCs was considered incapable of producing visible PNe, their origin presented a puzzle. We imaged the PN JaFu 1 with the Hubble Space Telescope (HST) to obtain photometry of its central star (CS) and high-resolution morphological information. We imaged...
Topics: Astrophysics of Galaxies, Solar and Stellar Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1701.03516
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For the first time, we investigate susceptibilities of dense quark matter up to $8$th order using an effective model. Generally higher order susceptibilities will have more sign changes and larger magnitude, thus should give more information about the presence and location of the conjectured QCD critical end point (CEP). Two cases are studied, one with the CEP and one being crossover phase transition throughout the QCD phase diagram. It is found that a rapid crossover transition can also give...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1702.08674
Arxiv.org
by Daniel L. Sussman; Edoardo M. Airoldi
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Randomized experiments in which the treatment of a unit can affect the outcomes of other units are becoming increasingly common in healthcare, economics, and in the social and information sciences. From a causal inference perspective, the typical assumption of no interference becomes untenable in such experiments. In many problems, however, the patterns of interference may be informed by the observation of network connections among the units of analysis. Here, we develop elements of optimal...
Topics: Statistics, Methodology
Source: http://arxiv.org/abs/1702.03578
Arxiv.org
by Daniele Bonadiman; Antonio Uva; Alessandro Moschitti
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In this paper, we developed a deep neural network (DNN) that learns to solve simultaneously the three tasks of the cQA challenge proposed by the SemEval-2016 Task 3, i.e., question-comment similarity, question-question similarity and new question-comment similarity. The latter is the main task, which can exploit the previous two for achieving better results. Our DNN is trained jointly on all the three cQA tasks and learns to encode questions and comments into a single vector representation...
Topics: Computing Research Repository, Computation and Language
Source: http://arxiv.org/abs/1702.03706
Arxiv.org
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In this paper, by using the elliptic curves theory, we study the fourth power Diophantine equation ${ \sum_{i=1}^n a_ix_{i} ^4= \sum_{j=1}^na_j y_{j}^4 }$, where $a_i$ and $n\geq3$ are fixed arbitrary integers. We solve the equation for some values of $a_i$ and $n=3,4$, and find nontrivial solutions for each case in natural numbers. By our method, we may find infinitely many nontrivial solutions for the above Diophantine equation and show, among the other things, that how some numbers can be...
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1701.02605
Arxiv.org
by C. R. O'Dell; W. Kollatschny; G. J. Ferland
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The common assumption that Theta-1-Ori C is the dominant ionizing source for the Orion Nebula is critically examined. This assumption underlies much of the existing analysis of the nebula. In this paper we establish through comparison of the relative strengths of emission lines with expectations from Cloudy models and through the direction of the bright edges of proplyds that Theta-2-Ori-A, which lies beyond the Bright Bar, also plays an important role. Theta-1-Ori-C does dominate ionization in...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1703.06191
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by Adrien Blanchet; Pierre Degond
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We consider systems of agents interacting through topological interactions. These have been shown to play an important part in animal and human behavior. Precisely, the system consists of a finite number of particles characterized by their positions and velocities. At random times a randomly chosen particle, the follower adopts the velocity of its closest neighbor, the leader. We study the limit of a system size going to infinity and, under the assumption of propagation of chaos, show that the...
Topics: Mathematical Physics, Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.05131
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by Tim Stangner; Hanqing Zhang; Tobias Dahlberg; Krister Wiklund; Magnus Andersson
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Wide field-of-view imaging of fast processes in a microscope requires high light intensities motivating the use of lasers as light sources. However, due to their long spatial coherence length lasers are inappropriate for such applications as they produce coherent noise and parasitic reflections, such as speckle, degrading image quality. Therefore, we provide a step-by-step guide for constructing a speckle-free and high contrast laser illumination setup using a rotating ground glass diffuser...
Topics: Physics, Optics, Instrumentation and Detectors
Source: http://arxiv.org/abs/1703.05311
Arxiv.org
by Francesco Fedele; Claudio Lugni; Arun Chawla
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We present a study on the prediction of rogue waves during the 1-hour sea state of Hurricane Joaquin when the Merchant Vessel El Faro sank east of the Bahamas on October 1, 2015. High-resolution hindcast of hurricane-generated sea states and wave simulations are combined with novel probabilistic models to quantify the likelihood of rogue wave conditions. The data suggests that the El Faro vessel was drifting at an average speed of approximately~$2.5$~m/s prior to its sinking. As a result, we...
Topics: Geophysics, Physics
Source: http://arxiv.org/abs/1703.08161
Arxiv.org
by Tadahiro Oh; Laurent Thomann
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We consider the defocusing nonlinear wave equations (NLW) on the two-dimensional torus. In particular, we construct invariant Gibbs measures for the renormalized so-called Wick ordered NLW. We then prove weak universality of the Wick ordered NLW, showing that the Wick ordered NLW naturally appears as a suitable scaling limit of non-renormalized NLW with Gaussian random initial data.
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.10452
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by Wei-Kuo Chen; Dmitry Panchenko
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We prove disorder chaos at zero temperature for three types of diluted models with large connectivity parameter: $K$-spin antiferromagnetic Ising model for even $K\geq 2$, $K$-spin spin glass model for even $K\geq 2$, and random $K$-sat model for all $K\geq 2$. We show that modifying even a small proportion of clauses results in near maximizers of the original and modified Hamiltonians being nearly orthogonal to each other with high probability. We use a standard technique of approximating...
Topics: Probability, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1703.07211
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I make some basic observations about hard takeoff, value alignment, and coherent extrapolated volition, concepts which have been central in analyses of superintelligent AI systems.
Topics: Learning, Artificial Intelligence, Computing Research Repository, Computers and Society
Source: http://arxiv.org/abs/1704.00783
Arxiv.org
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The immersed boundary (IB) method is a mathematical and numerical framework for problems of fluid-structure interaction, treating the particular case in which an elastic structure is immersed in a viscous incompressible fluid. The IB approach to such problems is to describe the elasticity of the immersed structure in Lagrangian form, and to describe the momentum, viscosity, and incompressibility of the coupled fluid-structure system in Eulerian form. Interaction between Lagrangian and Eulerian...
Topics: Computational Engineering, Finance, and Science, Computing Research Repository
Source: http://arxiv.org/abs/1703.09265
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by Fahimeh Mohammadzadeh; Azam Hokmabadi; Behrooz Mashayekhy
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Let $G$ be a finite $p$-group and $N$ be a normal subgroup of $G$, with $|N|=p^n$ and $|G/N|=p^m$. A result of Ellis (1998) shows that the order of the Schur multiplier of such a pair $(G,N)$ of finite $p$-groups is bounded by $ p^{\frac{1}{2}n(2m+n-1)}$ and hence it is equal to $ p^{\frac{1}{2}n(2m+n-1)-t}$, for some non-negative integer $t$. Recently the authors characterized the structure of $(G,N)$ when $N$ has a complement in $G$ and $t\leq 3$. This paper is devoted to classify the...
Topics: Group Theory, Mathematics
Source: http://arxiv.org/abs/1702.06923
Collisional absorption of laser light in a homogeneous, under-dense plasma is studied by a new particle-in-cell (PIC) simulation code considering one-dimensional slab-plasma geometry. Coulomb collisions between charge particles in plasma are modeled by a Monte Carlo scheme. %[J. Comput. Phys. {\bf 25}, 205 (1977)]. %Both PIC and MC parts are individually benchmarked. For a given target thickness of a few times the wavelength of 800~nm laser of intensity $\I0$, fractional absorption ($\alpha$)...
Topics: Plasma Physics, Physics
Source: http://arxiv.org/abs/1703.01114
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Layered materials have huge potential in various applications due to their extraordinary properties. To determine the interlayer interaction (or equivalently the layer spacing under different perturbations) is of critical importance. In this letter, we focus on one of the most prominent layered materials, graphite, and theoretically quantify the relationship between its interlayer spacing and the vibrational frequencies of its layer breathing and shear modes, which are measures of the...
Topics: Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1704.04202
Arxiv.org
by Willian Hans Goes Corrêa
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In this work we study the following three space problem for operator spaces: if X is an operator space with base space isomorphic to a Hilbert space and X contains a completely isomorphic copy of the operator Hilbert space OH with respective quotient also completely isomorphic to OH, must X be completely isomorphic to OH? This problem leads us to the study of short exact sequences of operator spaces, more specifically those induced by complex interpolation, and their splitting. We show that the...
Topics: Operator Algebras, Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1704.07760
Arxiv.org
by Tyler Y. Takeshita; Wibe A. de Jong; Daniel Neuhauser; Roi Baer; Eran Rabani
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A stochastic orbital approach to the resolution of identity (RI) approximation for 4-index 2-electron electron repulsion integrals (ERIs) is presented. The stochastic RI-ERIs are then applied to M\o ller-Plesset perturbation theory (MP2) utilizing a \textit{multiple stochastic orbital approach}. The introduction of multiple stochastic orbitals results in an $N^3$ scaling for both the stochastic RI-ERIs and stochastic RI-MP2. We demonstrate that this method exhibits a small prefactor and an...
Topics: Physics, Chemical Physics
Source: http://arxiv.org/abs/1704.02044
Considered here is an efficient technique to compute approximate profiles of solitary wave solutions of fractional Korteweg-de Vries equations. The numerical method is based on a fixed-point iterative algorithm along with extrapolation techniques of acceleration. This combination improves the performance in both the velocity of convergence and the computation of profiles for limiting values of the fractional parameter. The algorithm is described and numerical experiments of validation are...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1704.08654
Arxiv.org
by A. Puente; R. G. Nazmitdinov; M. Cerkaski; K. N. Pichugin
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We demonstrate that our model [Phys.Rev. E91, 032312 (2015)] serves as a useful tool to trace the evolution of equilibrium configurations of one-component charged particles confined in a disk. Our approach reduces significantly the computational effort in minimizing the energy of equilibrium configurations and demonstrates a remarkable agreement with the values provided by molecular dynamics calculations. We show that the Comment misrepresents our paper, and fails to provide plausible arguments...
Topics: Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1701.06179
Arxiv.org
by Sadique Sheik; Somnath Paul; Charles Augustine; Gert Cauwenberghs
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Several learning rules for synaptic plasticity, that depend on either spike timing or internal state variables, have been proposed in the past imparting varying computational capabilities to Spiking Neural Networks. Due to design complications these learning rules are typically not implemented on neuromorphic devices leaving the devices to be only capable of inference. In this work we propose a unidirectional post-synaptic potential dependent learning rule that is only triggered by pre-synaptic...
Topics: Neural and Evolutionary Computing, Computing Research Repository
Source: http://arxiv.org/abs/1701.01495
Arxiv.org
by Christian Espíndola
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We present a unified categorical treatment of completeness theorems for several classical and intuitionistic infinitary logics with a proposed axiomatization. This provides new completeness theorems and subsumes previous ones by G\"odel, Kripke, Beth, Karp, Joyal, Makkai and Fourman/Grayson. As an application we prove, using large cardinals assumptions, the disjunction and existence properties for infinitary intuitionistic first-order logics.
Topics: Mathematics, Category Theory, Logic
Source: http://arxiv.org/abs/1701.01301
Arxiv.org
by Victor M. -H. Ong; David J. Nott; Michael S. Smith
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Variational approximation methods have proven to be useful for scaling Bayesian computations to large data sets and highly parametrized models. Applying variational methods involves solving an optimization problem, and recent research in this area has focused on stochastic gradient ascent methods as a general approach to implementation. Here variational approximation is considered for a posterior distribution in high dimensions using a Gaussian approximating family. Gaussian variational...
Topics: Statistics, Methodology
Source: http://arxiv.org/abs/1701.03208
Arxiv.org
by Pavel Dvurechensky; Alexander Gasnikov; Anastasia Lagunovskaya
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We consider convex stochastic optimization problems under different assumptions on the properties of available stochastic subgradient. It is known that, if the value of the objective function is available, one can obtain, in parallel, several independent approximate solutions in terms of the objective residual expectation. Then, choosing the solution with the minimum function value, one can control the probability of large deviation of the objective residual. On the contrary, in this short...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1701.01830
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by Mustafa Mukadam; Ching-An Cheng; Xinyan Yan; Byron Boots
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The problem of optimal motion planing and control is fundamental in robotics. However, this problem is intractable for continuous-time stochastic systems in general and the solution is difficult to approximate if non-instantaneous nonlinear performance indices are present. In this work, we provide an efficient algorithm, PIPC (Probabilistic Inference for Planning and Control), that yields approximately optimal policies with arbitrary higher-order nonlinear performance indices. Using...
Topics: Systems and Control, Computing Research Repository, Robotics
Source: http://arxiv.org/abs/1702.07335
Arxiv.org
by Randall Balestriero
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In this paper we propose a synergistic melting of neural networks and decision trees (DT) we call neural decision trees (NDT). NDT is an architecture a la decision tree where each splitting node is an independent multilayer perceptron allowing oblique decision functions or arbritrary nonlinear decision function if more than one layer is used. This way, each MLP can be seen as a node of the tree. We then show that with the weight sharing asumption among those units, we end up with a Hashing...
Topics: Learning, Machine Learning, Statistics, Computing Research Repository
Source: http://arxiv.org/abs/1702.07360
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This review is devoted to the detailed consideration of the universal statistical properties of one-dimensional directed polymers in a random potential. In terms of the replica Bethe ansatz technique we derive several exact results for different types of the free energy probability distribution functions. In the second part of the review we discuss the problems which are still waiting for their solutions. Several mathematical appendices in the ending part of the review contain various technical...
Topics: Statistical Mechanics, Condensed Matter, Disordered Systems and Neural Networks
Source: http://arxiv.org/abs/1703.04305
Arxiv.org
by Mohammed Hichem Mortad
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In this short note, we improve the famous Reid Inequality related to linear operators.
Topics: Operator Algebras, Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1704.05104
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by Georg Nawratil; Arvin Rasoulzadeh
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We propose a novel design of a parallel manipulator of Stewart Gough type for virtual reality application of single individuals; i.e. an omni-directional treadmill is mounted on the motion platform in order to improve VR immersion by giving feedback to the human body. For this purpose we modify the well-known octahedral manipulator in a way that it has one degree of kinematical redundancy; namely an equiform reconfigurability of the base. The instantaneous kinematics and singularities of this...
Topics: Computing Research Repository, Robotics
Source: http://arxiv.org/abs/1704.04677
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In this work we present our findings performing low frequency Raman measurements over temperature in a tellurite-tungstate glass sample. The spectra could be fitted by using only two log-Gaussians, which suggests that quasi-elastic light scattering is negligible. The positions of the peaks have the same temperature behavior, being the higher frequency one refered as Boson Peak in literature. The similar temperature behavior and depolarization ratio indicates that the peaks may have the same...
Topics: Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1703.10885
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by Cristobal Rojas; Michael Yampolsky
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We show that there exist real quadratic maps of the interval whose attractors are computationally intractable. This is the first known class of such natural examples.
Topics: Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1703.04660
Arxiv.org
by Tomo Miyazaki; Tatsunori Tsuchiya; Yoshihiro Sugaya; Shinichiro Omachi; Masakazu Iwamura; Seiichi Uchida; Koichi Kise
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This paper addresses the automatic generation of a typographic font from a subset of characters. Specifically, we use a subset of a typographic font to extrapolate additional characters. Consequently, we obtain a complete font containing a number of characters sufficient for daily use. The automated generation of Japanese fonts is in high demand because a Japanese font requires over 1,000 characters. Unfortunately, professional typographers create most fonts, resulting in significant financial...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1701.05703
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We prove an estimate on the smallest singular value of a multiplicatively and additively deformed random rectangular matrix. Suppose $n\le N \le M \le \Lambda N$ for some constant $\Lambda \ge 1$. Let $X$ be an $M\times n$ random matrix with independent and identically distributed entries, which have zero mean, unit variance and arbitrarily high moments. Let $T$ be an $N\times M$ deterministic matrix with comparable singular values $c\le s_{N}(T) \le s_{1}(T) \le c^{-1}$ for some constant...
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1702.04050
Arxiv.org
by Georg Bachmeier; Felix Brandt; Christian Geist; Paul Harrenstein; Keyvan Kardel; Dominik Peters; Hans Georg Seedig
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Many hardness results in computational social choice make use of the fact that every directed graph may be induced as the pairwise majority relation of some preference profile. However, this fact requires a number of voters that is almost linear in the number of alternatives. It is therefore unclear whether these results remain intact when the number of voters is bounded, as is, for example, typically the case in search engine aggregation settings. In this paper, we provide a systematic study...
Topics: Computer Science and Game Theory, Computing Research Repository, Combinatorics, Mathematics
Source: http://arxiv.org/abs/1704.06304
Arxiv.org
by Seunghyun Yoon; Hyeongu Yun; Yuna Kim; Gyu-tae Park; Kyomin Jung
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In this paper, we propose an efficient transfer leaning methods for training a personalized language model using a recurrent neural network with long short-term memory architecture. With our proposed fast transfer learning schemes, a general language model is updated to a personalized language model with a small amount of user data and a limited computing resource. These methods are especially useful for a mobile device environment while the data is prevented from transferring out of the device...
Topics: Computing Research Repository, Computation and Language
Source: http://arxiv.org/abs/1701.03578
Arxiv.org
by Pallav Kant; Andrew L. Hazel; Mark Dowling; Alice B. Thompson; Anne Juel
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We present a novel experimental system that can be used to study the dynamics of picoliter droplet spreading over substrates with topographic variations. We concentrate on spreading of a droplet within a recessed stadium-shaped pixel, with applications to the manufacture of POLED displays, and find that the sloping side wall of the pixel can either locally enhance or hinder spreading depending on whether the topography gradient ahead of the contact line is positive or negative. Locally enhanced...
Topics: Fluid Dynamics, Physics
Source: http://arxiv.org/abs/1701.00742
In this paper, the elliptic curves theory is used for solving the Diophantine equations $\sum_{i=1}^n a_ix_{i} ^6+\sum_{i=1}^m b_iy_{i} ^3= \sum_{i=1}^na_iX_{i}^6\pm\sum_{i=1}^m b_iY_{i} ^3$, where $n$, $m$ $\geq 1$ and $a_i$, $b_i$, are fixed arbitrary nonzero integers. By our method, we may find infinitely many nontrivial positive solutions and also obtain infinitely many nontrivial parametric solutions for the Diophantine equations for every arbitrary integers $n$, $m$, $a_i$ and $b_i$.
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1701.02604
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For a given quasi-Fuchsian representation $\rho:\pi_1(S)\to$ PSL$_2\mathbb{C}$ of the fundamental group of a surface $S$ of genus $g\geq 2$, we prove that a generic branched complex projective structure on $S$ with holonomy $\rho$ and two branch points is obtained by bubbling some unbranched structure on $S$ with the same holonomy.
Topics: Differential Geometry, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1701.03524
Arxiv.org
by R. Herrera-Camus; A. Bolatto; M. Wolfire; E. Ostriker; B. Draine; A. Leroy; K. Sandstrom; L. Hunt; R. Kennicutt; D. Calzetti; J. D. Smith; K. Croxall; M. Galametz; I. de Looze; D. Dale; A. Crocker; B. Groves
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Dynamic and thermal processes regulate the structure of the multi-phase interstellar medium (ISM), and ultimately establish how galaxies evolve through star formation. Thus, to constrain ISM models and better understand the interplay of these processes, it is of great interest to measure the thermal pressure ($P_{\rm th}$) of the diffuse, neutral gas. By combining [C II] 158 $\mu$m, HI, and CO data from 31 galaxies selected from the Herschel KINGFISH sample, we have measured thermal pressures...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1701.01438
Arxiv.org
by I. Grinberg; O. V. Gendelman
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We explore the dynamics of strongly localized periodic solutions (discrete solitons, or discrete breathers) in a finite one-dimensional chain of asymmetric vibro-impact oscillators. The model involves a parabolic on-site potential with asymmetric rigid constraints (the displacement domain of each particle is finite), and a linear nearest-neighbor coupling. When the particle approaches the constraint, it undergoes an impact (not necessarily elastic), that satisfies Newton impact law....
Topics: Pattern Formation and Solitons, Nonlinear Sciences
Source: http://arxiv.org/abs/1701.03055
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We study generalized products of divergence-measure fields and gradient measures of {\rm BV} functions. These products depend on the choice of a representative of the {\rm BV} function, and here we single out a specific choice which is suitable in order to define and investigate a notion of weak supersolutions for the $1$-Laplace operator.
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1701.02656
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Verification theorems are key results to successfully employ the dynamic programming approach to optimal control problems. In this paper we introduce a new method to prove verification theorems for infinite dimensional stochastic optimal control problems. The method applies in the case of additively controlled Ornstein-Uhlenbeck processes, when the associated Hamilton-Jacobi-Bellman (HJB) equation admits a mild solution. The main methodological novelty of our result relies on the fact that it...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1702.05642
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by A. N. Gorban; I. V. Karlin
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The system of Navier--Stokes--Fourier equations is one of the most celebrated systems of equations in modern science. It describes dynamics of fluids in the limit when gradients of density, velocity and temperature are sufficiently small, and loses its applicability when the flux becomes so non-equilibrium that the changes of velocity, density or temperature on the length compatible with the mean free path are non-negligible. The question is: how to model such fluxes? This problem is still...
Topics: Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1702.00831
Arxiv.org
by Mate Puljiz; Shilin Huang; Günter K. Auernhammer; Andreas M. Menzel
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To describe many-particle systems suspended in incompressible low-Reynolds-number fluids, effective hydrodynamic interactions can be introduced. Here, we consider particles embedded in elastic media. The effective elastic interactions between spherical particles are calculated analytically, inspired by the approach in the fluid case. Our experiments on interacting magnetic particles confirm the theory. In view of the huge success of the method in hydrodynamics, we similarly expect many future...
Topics: Materials Science, Fluid Dynamics, Condensed Matter, Physics, Soft Condensed Matter
Source: http://arxiv.org/abs/1702.01437
Arxiv.org
by Helge Holzmann; Vinay Goel; Avishek Anand
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Web archives are a valuable resource for researchers of various disciplines. However, to use them as a scholarly source, researchers require a tool that provides efficient access to Web archive data for extraction and derivation of smaller datasets. Besides efficient access we identify five other objectives based on practical researcher needs such as ease of use, extensibility and reusability. Towards these objectives we propose ArchiveSpark, a framework for efficient, distributed Web archive...
Topics: Databases, Computing Research Repository, Digital Libraries
Source: http://arxiv.org/abs/1702.01015
Arxiv.org
by Abdullahi Umar
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Let $[n]=\{1,\ldots,n\}$ be the $n$-chain. We give presentations for the following transformation semigroups: the semigroup of full order-decreasing mappings of $[n]$, the semigroup of partial one-to-one order-decreasing mappings of $[n]$, the semigroup of full order-preserving and order-decreasing mappings of $[n]$, the semigroup of partial one-to-one order-preserving and order-decreasing mappings of $[n]$, and the semigroup of partial order-preserving and order-decreasing mappings of $[n]$.
Topics: Group Theory, Mathematics
Source: http://arxiv.org/abs/1702.02788
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by Stephen Quinn; Igor E. Verbitsky
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We study the weighted norm inequality of $(1,q)$-type, \[ \Vert \mathbf{G}\nu \Vert_{L^q(\Omega, d\sigma)} \le C \Vert \nu \Vert, \quad \text{ for all } \nu \in \mathcal{M}^+(\Omega), \] along with its weak-type analogue, for $0 < q < 1$, where $\mathbf{G}$ is an integral operator associated with the nonnegative kernel $G(x,y)$. Here $\mathcal{M}^+(\Omega)$ denotes the class of positive Radon measures in $\Omega$; $\sigma, \nu \in \mathcal{M}^+(\Omega)$, and $||\nu||=\nu(\Omega)$. For...
Topics: Analysis of PDEs, Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1702.02682
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by Mohammad-Parsa Hosseini; Hamid Soltanian-Zadeh; Kost Elisevich; Dario Pompili
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Developing a Brain-Computer Interface~(BCI) for seizure prediction can help epileptic patients have a better quality of life. However, there are many difficulties and challenges in developing such a system as a real-life support for patients. Because of the nonstationary nature of EEG signals, normal and seizure patterns vary across different patients. Thus, finding a group of manually extracted features for the prediction task is not practical. Moreover, when using implanted electrodes for...
Topics: Learning, Machine Learning, Statistics, Computing Research Repository
Source: http://arxiv.org/abs/1702.05192
Arxiv.org
by The Fermi-Large Area Telescope Collaboration
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The detection of high-redshift ($z>$3) blazars enables the study of the evolution of the most luminous relativistic jets over cosmic time. More importantly, high-redshift blazars tend to host massive black holes and can be used to constrain the space density of heavy black holes in the early Universe. Here, we report the first detection with the \fermi-Large Area Telescope of five \gm-ray emitting blazars beyond $z=3.1$, more distant than any blazars previously detected in $\gamma$-rays....
Topics: Astrophysics, High Energy Astrophysical Phenomena
Source: http://arxiv.org/abs/1702.04006