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Arxiv.org
by Yunhan Jack Jia; Ding Zhao; Qi Alfred Chen; Z. Morley Mao
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The advancement in Autonomous Vehicles (AVs) has created an enormous market for the development of self-driving functionalities,raising the question of how it will transform the traditional vehicle development process. One adventurous proposal is to open the AV platform to third-party developers, so that AV functionalities can be developed in a crowd-sourcing way, which could provide tangible benefits to both automakers and end users. Some pioneering companies in the automotive industry have...
Topics: Cryptography and Security, Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1702.06827
Arxiv.org
by Nidhish Raj; Ravi N. Banavar; Abhishek; Mangal Kothari
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We consider the problem of attitude tracking for small-scale aerobatic helicopters. A small scale helicopter has two subsystems: the fuselage, modeled as a rigid body; and the rotor, modeled as a first order system. Due to the coupling between rotor and fuselage, the complete system does not inherit the structure of a simple mechanical system. The coupled rotor fuselage dynamics is first transformed to rigid body attitude tracking problem with a first order actuator dynamics. The proposed...
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1703.08800
Arxiv.org
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Liquid-vapor flows with phase transitions have a wide range of applications. Isothermal two-phase flows described by a single set of isothermal Euler equations, where the mass transfer is modeled by a kinetic relation, have been investigated analytically in (Quarterly of applied Mathematics, vol.\ LXXI 3 (2013), pp.\ 509-540.). This work was restricted to liquid water and its vapor modeled by linear equations of state. The focus of the present work lies on the generalization of the primary...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.09431
Arxiv.org
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Exponential stability of modified truncated Euler-Maruyama method for stochastic differential equations are investigated in this paper. Sufficient conditions for the $p$-th moment and almost sure exponential stability of the given numerical method are presented. An example is provided to support our conclusions.
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1704.03158
Arxiv.org
by Javier Gonzalez; Zhenwen Dai; Andreas Damianou; Neil D. Lawrence
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Bayesian optimization (BO) has emerged during the last few years as an effective approach to optimizing black-box functions where direct queries of the objective are expensive. In this paper we consider the case where direct access to the function is not possible, but information about user preferences is. Such scenarios arise in problems where human preferences are modeled, such as A/B tests or recommender systems. We present a new framework for this scenario that we call Preferential Bayesian...
Topics: Machine Learning, Statistics
Source: http://arxiv.org/abs/1704.03651
Arxiv.org
by Sezen Cekic; Didier Grandjean; Olivier Renaud
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This article concerns the modelling of time-varying and frequency-specific relationships between two signals, with a focus on intracerebral signals measuring neural activities. Many researchers in neuroscience would like to assess what is called a frequency Granger causality that may vary in time to evalute the functionnal connections between two brain regions during a task. We propose the use of an adaptive Kalman filter type of estimator of a linear Gaussian vector autoregressive model with...
Topics: Statistics, Methodology
Source: http://arxiv.org/abs/1704.02778
Arxiv.org
by Jing Yang; Carsten Eickhoff
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Many social network applications depend on robust representations of spatio-temporal data. In this work, we present an embedding model based on feed-forward neural networks which transforms social media check-ins into dense feature vectors encoding geographic, temporal, and functional aspects for modelling places, neighborhoods, and users. On the basis of this model, we further propose a Spatio-Temporal Embedding Similarity algorithm (STES) for location recommendation. In a range of experiments...
Topics: Information Retrieval, Computing Research Repository
Source: http://arxiv.org/abs/1704.03507
Arxiv.org
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I present higher-order radiative corrections from collinear and soft gluon emission for the associated production of a charged Higgs boson with a $W$ boson. The calculation uses expressions from resummation at next-to-leading-logarithm accuracy. From the resummed cross section I derive approximate next-to-next-to-leading order (aNNLO) cross sections for the process $b{\bar b} \rightarrow H^- W^+$ at LHC energies. The transverse-momentum and rapidity distributions of the charged Higgs boson are...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1704.08549
Arxiv.org
by Panagiotis Tzirakis; George Trigeorgis; Mihalis A. Nicolaou; Björn Schuller; Stefanos Zafeiriou
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Automatic affect recognition is a challenging task due to the various modalities emotions can be expressed with. Applications can be found in many domains including multimedia retrieval and human computer interaction. In recent years, deep neural networks have been used with great success in determining emotional states. Inspired by this success, we propose an emotion recognition system using auditory and visual modalities. To capture the emotional content for various styles of speaking, robust...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition, Computation and Language
Source: http://arxiv.org/abs/1704.08619
Arxiv.org
by Jiri Podolsky; Robert Svarc; Roland Steinbauer; Clemens Sämann
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We generalize the classical junction conditions for constructing impulsive gravitational waves by the Penrose "cut and paste" method. Specifically, we study nonexpanding impulses which propagate in spaces of constant curvature with any value of the cosmological constant (that is Minkowski, de Sitter, or anti-de Sitter universes) when additional off-diagonal metric components are present. Such components encode a possible angular momentum of the ultra-relativistic source of the...
Topics: General Relativity and Quantum Cosmology, High Energy Physics - Theory
Source: http://arxiv.org/abs/1704.08570
Arxiv.org
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In this paper, we study the problem of finding the Euclidean distance to a convex cone generated by a set of discrete points in $\mathbb{R}^n_+$. In particular, we are interested in problems where the discrete points are the set of feasible solutions of some binary linear programming constraints. This problem has applications in manufacturing, machine learning, clustering, pattern recognition, and statistics. Our problem is a high-dimensional constrained optimization problem. We propose a...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1704.06311
Arxiv.org
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In this dissertation we study the tractability of the information-based complexity $n(\varepsilon,d)$ for $d$-variate function approximation problems. In the deterministic setting for many unweighted problems the curse of dimensionality holds, that means, for some fixed error tolerance $\varepsilon>0$ the complexity $n(\varepsilon,d)$ grows exponentially in $d$. For integration problems one can usually break the curse with the standard Monte Carlo method. For function approximation problems,...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1704.08213
Arxiv.org
by R. G. Halburd; R. J. Korhonen
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A class of discrete equations is considered from three perspectives corresponding to three measures of the complexity of solutions: the (hyper-) order of meromorphic solutions in the sense of Nevanlinna, the degree growth of iterates over a function field and the height growth of iterates over the rational numbers. In each case, low complexity implies a form of singularity confinement which results in a known discrete Painlev\'e equation.
Topics: Complex Variables, Mathematics
Source: http://arxiv.org/abs/1704.07927
Arxiv.org
by Yoichi Miyahara; Peter Grutter
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We review a new implementation of Kelvin probe force microscopy (KPFM) in which the dissipation signal of frequency modulation atomic force microscopy (FM-AFM) is used for dc bias voltage feedback (D-KPFM). The dissipation arises from an oscillating electrostatic force that is coherent with the tip oscillation, which is caused by applying the ac voltage between the tip and sample. The magnitude of the externally induced dissipation is found to be proportional to the effective dc bias voltage,...
Topics: Applied Physics, Physics, Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1704.06330
Arxiv.org
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Increasingly, keyword, natural language and NoSQL queries are being used for information retrieval from traditional as well as non-traditional databases such as web, document, image, GIS, legal, and health databases. While their popularity are undeniable for obvious reasons, their engineering is far from simple. In most part, semantics and intent preserving mapping of a well understood natural language query expressed over a structured database schema to a structured query language is still a...
Topics: Databases, Computing Research Repository
Source: http://arxiv.org/abs/1703.10692
Arxiv.org
by Yan-an Cai; Yongsheng Cheng; Genqiang Liu
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In the present paper, using the technique of localization, we determine the center of the quantum Schr\"{o}dinger algebra $\S_q$ and classify simple modules with finite-dimensional weight spaces over $\S_q$, when $q$ is not a root of unity. It turns out that there are four classes of such modules: dense $U_q(\mathfrak{sl}_2)$-modules, highest weight modules, lowest weight modules, and twisted modules of highest weight modules.
Topics: Quantum Algebra, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1704.01393
Arxiv.org
by Jan Scheffel; Kristoffer Lindvall; Hiu Fai Yik
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Finite difference methods are traditionally used for modelling the time domain in numerical weather prediction (NWP). Time-spectral solution is an attractive alternative for reasons of accuracy and efficiency and because time step limitations associated with causal, CFL-like critera are avoided. In this work, the Lorenz 1984 chaotic equations are solved using the time-spectral algorithm GWRM. Comparisons of accuracy and efficiency are carried out for both explicit and implicit time-stepping...
Topics: Physics, Computational Physics
Source: http://arxiv.org/abs/1704.00561
Arxiv.org
by Ming H. Xu; Robert Heinkelmann; James M. Anderson; Julian Mora-Diaz; Maria Karbon; Harald Schuh; Guang L. Wang
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Closure quantities measured by very long baseline interferometry (VLBI) observations are independent of instrumental and propagation instabilities and antenna gain factors, but are sensitive to source structure. A new method is proposed to calculate a structure index based on the median values of closure quantities rather than the brightness distribution of a source. The results are comparable to structure indices based on imaging observations at other epochs and demonstrate the flexibility of...
Topics: Astrophysics of Galaxies, Astrophysics, Instrumentation and Methods for Astrophysics
Source: http://arxiv.org/abs/1701.03601
Arxiv.org
by Arkadiusz Kosior; Krzysztof Sacha
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We investigate the issue of eigenfunction localization in random fractal lattices embedded in two dimensional Euclidean space. In the system of our interest, there is no diagonal disorder -- the disorder arises from random connectivity of non-uniformly distributed lattice sites only. By adding or removing links between lattice sites, we change the spectral dimension of a lattice but keep the fractional Hausdorff dimension fixed. From the analysis of energy level statistics obtained via direct...
Topics: Quantum Gases, Condensed Matter, Quantum Physics
Source: http://arxiv.org/abs/1701.04274
Arxiv.org
by De-Chang Dai
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We study a type of an Unruh-DeWitt-like detector based on a vector rather than scalar field. This detector has two energy states and produces Larmor radiation when there is no energy gap between them. This setup indicates that Larmor radiation and Unruh radiation are two counterparts of the same phenomenon. Larmor radiation is observed in the inertial frame, while Unruh radiation is observed in an accelerated frame. The accelerated observer sees that his detector absorbed a particle inside its...
Topics: High Energy Physics - Theory, Physics, General Physics
Source: http://arxiv.org/abs/1701.08635
Arxiv.org
by Amirhossein Javaheri; Mohammad Bagher Shamsollahi
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The higher order differential energy operator (DEO), denoted via $\Upsilon_k(x)$, is an extension to the second order famous Teager-Kaiser operator. The DEO helps measuring the higher order gauge of energy of a signal which is useful for AM-FM demodulation. However, the energy criterion defined by the DEO is not compliant with the presumption of positivity of energy. In this paper we introduce a higher order operator called Positive Differential Energy Operator (PDEO). This operator which can...
Topics: Sound, Computing Research Repository
Source: http://arxiv.org/abs/1701.03834
Arxiv.org
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For two Banach algebras $A$ and $B$, the $T$-Lau product $A\times_T B$, was recently introduced and studied for some bounded homomorphism $T:B\to A$ with $\|T\|\leq 1$. Here, we give general nessesary and sufficent conditions for $A\times_T B$ to be (approximately) cyclic amenable. In particular, we extend some recent results on (approximate) cyclic amenability of direct product $A\oplus B$ and $T$-Lau product $A\times_T B$ and answer a question on cyclic amenability of $A\times_T B$.
Topics: Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1701.06056
Arxiv.org
by A. F. Pala; B. T. Gänsicke; D. Townsley; D. Boyd; M. J. Cook; D. De Martino; P. Godon; J. B. Haislip; A. A. Henden; I. Hubeny; K. M. Ivarsen; S. Kafka; C. Knigge; A. P. LaCluyze; K. S. Long; T. R. Marsh; B. Monard; J. P. Moore; G. Myers; P. Nelson; D. Nogami; A. Oksanen; R. Pickard; G. Poyner; D. E. Reichart; D. Rodriguez Perez; M. R. Schreiber; J. Shears; E. M. Sion; R. Stubbings; P. Szkody; M. Zorotovic
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We present HST spectroscopy for 45 cataclysmic variables (CVs), observed with HST/COS and HST/STIS. For 36 CVs, the white dwarf is recognisable through its broad Ly$\alpha$ absorption profile and we measure the white dwarf effective temperatures ($T_{\mathrm{eff}}$) by fitting the HST data assuming $\log\,g=8.35$, which corresponds to the average mass for CV white dwarfs ($\simeq\,0.8\,\mathrm{M}_\odot$). Our results nearly double the number of CV white dwarfs with an accurate temperature...
Topics: Solar and Stellar Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1701.02738
Arxiv.org
by Samaneh Tajalizadehkhoob; Rainer Böhme; Carlos Gañán; Maciej Korczyński; Michel Van Eeten
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Internet security and technology policy research regularly uses technical indicators of abuse in order to identify culprits and to tailor mitigation strategies. As a major obstacle, readily available data are often misaligned with actual information needs. They are subject to measurement errors relating to observation, aggregation, attribution, and various sources of heterogeneity. More precise indicators such as size estimates are costly to measure at Internet scale. We address these issues...
Topics: Cryptography and Security, Computing Research Repository
Source: http://arxiv.org/abs/1702.01624
Arxiv.org
by Muharem Avdispahić
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We reduce the exponent in the error term of the prime geodesic theorem for compact Riemann surfaces from $\frac{3}{4}$ to $\frac{7}{10}$ outside a set of finite logarithmic measure.
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1701.02115
Arxiv.org
by Dibakar Roychowdhury
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In this paper, following the basic prescriptions of Gauge/String duality, we perform a strong coupling computation on \textit{classical} two point correlation between \textit{local} (single trace) operators in a gauge theory dual to $ \kappa $-deformed $ AdS_{3}\times S^{3}$ background. Our construction is based on the prescription that relates every local operator in a gauge theory to that with the (semi)classical string states propagating within the \textit{physical} region surrounded by the...
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1702.01405
Arxiv.org
by Matthew Chasse; Tamás Forgács; Andrzej Piotrowski
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We prove that every multiplier sequence for the Legendre basis which can be interpolated by a polynomial has the form $\{h(k^2+k)\}_{k=0}^{\infty}$, where $h\in\mathbb{R}[x]$. We also prove that a non-trivial collection of polynomials of a certain form interpolate multiplier sequences for the Legendre basis, and we state conjectures on how to extend these results.
Topics: Complex Variables, Mathematics
Source: http://arxiv.org/abs/1701.02420
Arxiv.org
by David Gerdes; Masao Sako; Stephanie Hamilton; Ke Zhang; Tali Khain; Juliette Becker; James Annis; William Wester; Gary Bernstein; Colin Scheibner; Lynus Zullo; Fred Adams; Edwin Bergin; Alistair Walker; J. H. Mueller; T. Abbott; Filipe Abdalla; Sahar Allam; K. Bechtol; Aurelien Benoit-Lévy; Emmanuel Bertin; David Brooks; David Burke; A. Rosell; M. Kind; Jorge Carretero; Carlos Cunha; Luiz da Costa; S. Desai; H. Thomas Diehl; Tim Eifler; Brenna Flaugher; Joshua Frieman; J. Garc'ia-Bellido;...
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We report the observation and physical characterization of the possible dwarf planet \UZ\ ("DeeDee"), a dynamically detached trans-Neptunian object discovered at 92 AU. This object is currently the second-most distant known trans-Neptunian object with reported orbital elements, surpassed in distance only by the dwarf planet Eris. The object was discovered with an $r$-band magnitude of 23.0 in data collected by the Dark Energy Survey between 2014 and 2016. Its 1140-year orbit has...
Topics: Astrophysics, Earth and Planetary Astrophysics
Source: http://arxiv.org/abs/1702.00731
Arxiv.org
by Johan Markdahl; Jens Hoppe; Lin Wang; Xiaoming Hu
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This paper presents a novel approach to the problem of almost global attitude stabilization. The reduced attitude is steered along a geodesic path on the n-sphere. Meanwhile, the full attitude is stabilized on SO(n). This action, essentially two maneuvers in sequel, is fused into one smooth motion. Our algorithm is useful in applications where stabilization of the reduced attitude takes precedence over stabilization of the full attitude. A two parameter feedback gain affords further trade-offs...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1702.05646
Arxiv.org
by Petr Marek; Petr Zapletal; Radim Filip; Yosuke Hashimoto; Takeshi Toyama; Jun-ichi Yoshikawa; Kenzo Makino; Akira Furusawa
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Quality of individual photons and their ability to interfere is traditionally tested by measuring the Hong-Ou-Mandel photon bunching effect. However, this phase insensitive measurement only tests the particle aspect of the quantum interference. Motivated by these limitations, we formulate a witness capable of recognizing both the quality and the coherence of two photons from a single set of measurements. We exploit the conditional nonclassical squeezing which is sensitive to both the quality of...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1702.07590
Arxiv.org
by Rajarshi Ray; Arup Deka; Kamalika Datta
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Synthesis of reversible logic circuits has gained great atten- tion during the last decade. Various synthesis techniques have been pro- posed, some generate optimal solutions (in gate count) and are termed as exact, while others are scalable in the sense that they can handle larger functions but generate sub-optimal solutions. Although scalable synthe- sis is very much essential for circuit design, exact synthesis is also of great importance as it helps in building design library for the...
Topics: Emerging Technologies, Computing Research Repository
Source: http://arxiv.org/abs/1702.07470
Arxiv.org
by Yuan-Sheng Wang; Chong Chen; Jun-Hong An
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Quantum metrology pursues the fundamental enhancement to sensitive measurement on certain physical quantity by using quantum characters. It has been proposed that using entanglement, one may increase the metrology precision from the standard quantum limit (SQL) to the Heisenberg limit (HL). However, previous works showed that the HL is unattainable when the system is exposed to local dephasing noises. We here study a quantum metrology protocol based on the Ramsey interferometer influenced by...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1702.07145
Arxiv.org
by Thomas House
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A method for the introduction of second-order derivatives of the log likelihood into HMC algorithms is introduced, which does not require the Hessian to be evaluated at each leapfrog step but only at the start and end of trajectories.
Topics: Computation, Statistics
Source: http://arxiv.org/abs/1702.08251
Arxiv.org
by Sita Sundar; Hanno Kählert; Jan-Philip Joost; Patrick Ludwig; Michael Bonitz
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This work examines the formation of wake fields caused by ions streaming around a charged dust particle, using three-dimensional particle-in-cell (PIC) simulations with charge-neutral collisions included. The influence of an external driving electric field, which leads to a non-Maxwellian distribution of ions, is investigated in detail. The wake features formed for non-Maxwellian ions exhibit significant deviations from those observed within the model of a shifted Maxwellian distribution. The...
Topics: Plasma Physics, Physics
Source: http://arxiv.org/abs/1702.07152
Arxiv.org
by A. Accioly; J. de Almeida; G. P. de Brito; G. Correia
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A simple expression for calculating the classical potential concerning $D$-dimensional gravitational models is obtained through a method based on the generating functional. The prescription is then used as a mathematical tool to probe the conjecture that renormalizable higher-order gravity models --- which are, of course, nonunitary --- are endowed with a classical potential that is nonsingular at the origin. It is also shown that the converse of this statement is not true, which implies that...
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1702.07404
Arxiv.org
by Alistair O Hodson; Hongsheng Zhao
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A sample of Coma cluster ultra-diffuse galaxies (UDGs) are modelled in the context of Extended Modified Newtonian Dynamics (EMOND) with the aim to explain the large dark matter-like effect observed in these cluster galaxies. We first build a model of the Coma cluster in the context of EMOND using gas and galaxy mass profiles from the literature. Then assuming the dynamical mass of the UDGs satisfies the fundamental manifold of other ellipticals, and that the UDG stellar mass-to-light matches...
Topics: Astrophysics of Galaxies, Astrophysics, Cosmology and Nongalactic Astrophysics
Source: http://arxiv.org/abs/1703.03463
Arxiv.org
by Mohammad W. Alomari
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Extensions and generalizations of Alzer's inequality; which is of Wirtinger type are proved. As applications, sharp trapezoid type inequality and sharp bound for the geometric mean are deduced.
Topics: Classical Analysis and ODEs, Mathematics
Source: http://arxiv.org/abs/1703.01538
Arxiv.org
by M. I. Belishev; S. A. Simonov
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The notion of the wave spectrum of a semi-bounded symmetric operator was introduced by one of the authors in 2013. The wave spectrum is a topological space determined by the operator in a canonical way. The definition uses a dynamical system associated with the operator: the wave spectrum is constructed from its reachable sets. In the paper we give a description of the wave spectrum of the operator $L_0=-\frac{d^2}{dx^2}+q$ which acts in the space $L_2(0,\infty)$ and has defect indices $(1,1)$....
Topics: Spectral Theory, Mathematics
Source: http://arxiv.org/abs/1703.00176
Arxiv.org
by Andrej Dujella; Tomislav Pejkovic
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We study root separation of reducible monic integer polynomials of odd degree. Let h(P) be the naive height, sep(P) the minimal distance between two distinct roots of an integer polynomial P(x) and sep(P)=h(P)^{-e(P)}. Let e_r*(d)=limsup_{deg(P)=d, h(P)-> +infty} e(P), where the limsup is taken over the reducible monic integer polynomials P(x) of degree d. We prove that e_r*(d)
Topics: Number Theory, Mathematics
Source: http://arxiv.org/abs/1703.02120
Arxiv.org
by Yusuf Zuntu Abdullahi; Tiem Leong Yoon; Mohd Mahadi Halim; Md. Roslan Hashim; Thong Leng Lim
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Density-functional theory calculations with spin-polarized generalized gradient approximation and Hubbard $U$ correction is carried out to investigate the mechanical, structural, electronic and magnetic properties of graphitic heptazine with embedded $\mathrm{Fe}$ atom under bi-axial tensile strain and applied perpendicular electric field. It was found that the binding energy of heptazine with embedded $\mathrm{Fe}$ atom system decreases as more tensile strain is applied and increases as more...
Topics: Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1703.01922
Arxiv.org
by Maria Glenski; Corey Pennycuff; Tim Weninger
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As crowd-sourced curation of news and information become the norm, it is important to understand not only how individuals consume information through social news Web sites, but also how they contribute to their ranking systems. In the present work, we introduce and make available a new dataset containing the activity logs that recorded all activity for 309 Reddit users for one year. Using this newly collected data, we present findings that highlight the browsing and voting behavior of the...
Topics: Human-Computer Interaction, Computing Research Repository, Social and Information Networks
Source: http://arxiv.org/abs/1703.05267
Arxiv.org
by A Ashtari Esfahani; S Böser; C Claessens; L de Viveiros; P J Doe; S Doeleman; M Fertl; E C Finn; J A Formaggio; M Guigue; K M Heeger; A M Jones; K Kazkaz; B H LaRoque; E Machado; B Monreal; J A Nikkel; N S Oblath; R G H Robertson; L J Rosenberg; G Rybka; L Saldaña; P L Slocum; J R Tedeschi; T Thümmler; B A VanDevender; M Wachtendonk; J Weintroub; A Young; E Zayas
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We present a working concept for Phase III of the Project 8 experiment, aiming to achieve a neutrino mass sensitivity of $2~\mathrm{eV}$ ($90~\%$ C.L.) using a large volume of molecular tritium and a phased antenna array. The detection system is discussed in detail.
Topics: Physics, High Energy Physics - Experiment, Nuclear Experiment, Instrumentation and Detectors
Source: http://arxiv.org/abs/1703.05759
Arxiv.org
by Marcelo Botta-Cantcheff; Pedro J. Martínez
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It is commonly accepted that states in a conformal field theory correspond to classical spacetimes with Anti-de-Sitter asymptotics. In this essay, we argue that such states should be coherent in the large-N limit, and show implications in the spacetime emergence mechanism. In particular, we argue that the microstates that compose a black hole (entangled) state in the Van Raamsdonk description cannot be interpreted as classical geometric configurations. Therefore, the conclusion is that care...
Topic: High Energy Physics - Theory
Source: http://arxiv.org/abs/1703.03483
Arxiv.org
by Ben Goertzel; Nil Geisweiller; Chris Poulin
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A general formulation of optimization problems in which various candidate solutions may use different feature-sets is presented, encompassing supervised classification, automated program learning and other cases. A novel characterization of the concept of a "good quality feature" for such an optimization problem is provided; and a proposal regarding the integration of quality based feature selection into metalearning is suggested, wherein the quality of a feature for a problem is...
Topics: Learning, Machine Learning, Statistics, Computing Research Repository
Source: http://arxiv.org/abs/1703.06990
Arxiv.org
by Navneeth Ramakrishnan; Ying Tong Lai; Silvia Lara; Meera M. Parish; Shaffique Adam
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A linear unsaturating magnetoresistance at high perpendicular magnetic fields, together with a quadratic positive magnetoresistance at low fields, has been seen in many different experimental materials, ranging from silver chalcogenides and thin films of InSb to topological materials like graphene and Dirac semimetals. In the literature, two very different theoretical approaches have been used to explain this classical magnetoresistance as a consequence of sample disorder. The phenomenological...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1703.05478
Arxiv.org
by Karthikeyan Shanmugam; Murat Kocaoglu; Alexandros G. Dimakis; Sujay Sanghavi
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We consider support recovery in the quadratic logistic regression setting - where the target depends on both p linear terms $x_i$ and up to $p^2$ quadratic terms $x_i x_j$. Quadratic terms enable prediction/modeling of higher-order effects between features and the target, but when incorporated naively may involve solving a very large regression problem. We consider the sparse case, where at most $s$ terms (linear or quadratic) are non-zero, and provide a new faster algorithm. It involves (a)...
Topics: Learning, Computing Research Repository, Machine Learning, Information Theory, Statistics,...
Source: http://arxiv.org/abs/1703.02682
Arxiv.org
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Matrix and tensor completion aim to recover a low-rank matrix / tensor from limited observations and have been commonly used in applications such as recommender systems and multi-relational data mining. A state-of-the-art matrix completion algorithm is Soft-Impute, which exploits the special "sparse plus low-rank" structure of the matrix iterates to allow efficient SVD in each iteration. Though Soft-Impute is a proximal algorithm, it is generally believed that acceleration destroys...
Topics: Numerical Analysis, Computing Research Repository
Source: http://arxiv.org/abs/1703.05487
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An event-based state estimation approach for reducing communication in a networked control system is proposed. Multiple distributed sensor agents observe a dynamic process and sporadically transmit their measurements to estimator agents over a shared bus network. Local event-triggering protocols ensure that data is transmitted only when necessary to meet a desired estimation accuracy. The event-based design is shown to emulate the performance of a centralised state observer design up to...
Topics: Multiagent Systems, Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1703.08342
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by Manuel del Pino; Konstantinos T. Gkikas
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We consider the parabolic Allen-Cahn equation in $\mathbb{R}^n$, $n\ge 2$, $$u_t= \Delta u + (1-u^2)u \quad \hbox{ in } \mathbb{R}^n \times (-\infty, 0].$$ We construct an ancient radially symmetric solution $u(x,t)$ with any given number $k$ of transition layers between $-1$ and $+1$. At main order they consist of $k$ time-traveling copies of $w$ with spherical interfaces distant $O(\log |t| )$ one to each other as $t\to -\infty$. These interfaces are resemble at main order copies of the {\em...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.08797
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by H. Lange; P. E. Newstead
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Higher rank Brill-Noether theory for genus 6 is especially interesting as, even in the general case, some unexpected phenomena arise which are absent in lower genus. Moreover, it is the first case for which there exist curves of Clifford dimension greater than 1 (smooth plane quintics). In all cases, we obtain new upper bounds for non-emptiness of Brill-Noether loci and construct many examples which approach these upper bounds more closely than those that are well known. Some of our examples of...
Topics: Algebraic Geometry, Mathematics
Source: http://arxiv.org/abs/1703.09024
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OpenRuleBench is a large benchmark suite for rule engines, which includes deductive databases. We previously proposed a translation of Datalog to C++ based on a method that "pushes" derived tuples immediately to places where they are used. In this paper, we report performance results of various implementation variants of this method compared to XSB, YAP and DLV. We study only a fraction of the OpenRuleBench problems, but we give a quite detailed analysis of each such task and the...
Topics: Logic in Computer Science, Databases, Computing Research Repository, Performance
Source: http://arxiv.org/abs/1701.00627
Recent experimental studies on Fe substituted spinel CoCr$_{2}$O$_{4}$ have discovered multiple functional properties in the system such as temperature and composition dependent magnetic compensation, tunable exchange bias and magnetostriction. These properties are attributed to the renormalisation of the inter-atomic magnetic exchange interactions arising due to the non-regular site occupancies of the magnetic cations in the system. In this work, we perform {\it ab initio} electronic structure...
Topics: Materials Science, Condensed Matter
Source: http://arxiv.org/abs/1704.02102
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by Robson A. Figueiredo
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In this work we deal with the preservation by $G_\delta$-refinements. We prove that for $\mathrm{SP}$-scattered spaces the metacompactness, paralindel\"ofness, metalindel\"ofness and linear lindel\"ofness are preserved by $G_\delta$-refinements. In this context we also consider some other generalizations of discrete spaces like $\omega$-scattered and $N$-scattered. In the final part of this paper we look at a question of Juh\'asz, Soukup, Szentmikl\'ossy and Weiss concerning the...
Topics: General Topology, Mathematics
Source: http://arxiv.org/abs/1703.10650
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by Jieqing Jiao; Sebastien Ourselin
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Reconstruction of PET images is an ill-posed inverse problem and often requires iterative algorithms to achieve good image quality for reliable clinical use in practice, at huge computational costs. In this paper, we consider the PET reconstruction a dense prediction problem where the large scale contextual information is essential, and propose a novel architecture of multi-scale fully convolutional neural networks (msfCNN) for fast PET image reconstruction. The proposed msfCNN gains large...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1704.07244
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by Claire David
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J. Kigami has laid the foundations of what is now known as analysis on fractals, by allowing the construction of an operator of the same nature of the Laplacian, defined locally, on graphs having a fractal character. The Sierpinski gasket stands out of the best known example. It has, since then, been taken up, developed and popularized by R. S. Strichartz. The Laplacian is obtained through a weak formulation, obtained by means of Dirichlet forms, built by induction on a sequence of graphs that...
Topics: Functional Analysis, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1704.04518
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by Justin Walker; Stanislav Boldyrev
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Magnetic dynamo action caused by the magnetorotational instability is studied in the shearing-box approximation with no imposed net magnetic flux. Consistent with recent studies, the dynamo action is found to be sensitive to the aspect ratio of the box: it is much easier to obtain in tall boxes (stretched in the direction normal to the disk plane) than in long boxes (stretched in the radial direction). Our direct numerical simulations indicate that the dynamo is possible in both cases, given a...
Topics: Physics, Astrophysics, Fluid Dynamics, Space Physics, High Energy Astrophysical Phenomena, Solar...
Source: http://arxiv.org/abs/1704.08636
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by Dung Phan; Junxing Yang; Matthew Clark; Radu Grosu; John D. Schierman; Scott A. Smolka; Scott D. Stoller
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We present Component-Based Simplex Architecture (CBSA), a new framework for assuring the runtime safety of component-based cyber-physical systems (CPSs). CBSA integrates Assume-Guarantee (A-G) reasoning with the core principles of the Simplex control architecture to allow component-based CPSs to run advanced, uncertified controllers while still providing runtime assurance that A-G contracts and global properties are satisfied. In CBSA, multiple Simplex instances, which can be composed in a...
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1704.04759
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by Mauro Di Nasso; Eleftherios Tachtsis
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We introduce the notion of additive filter and present a new proof of the existence of idempotent ultrafilters on N without any use of Zorn's Lemma, and where one only assumes the Ultrafilter Theorem for the continuum.
Topics: Mathematics, Logic
Source: http://arxiv.org/abs/1701.03301
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This paper addresses the problem of estimating, in the presence of random censoring as well as competing risks, the extreme value index of the (sub)-distribution function associated to one particular cause, in the heavy-tail case. Asymptotic normality of the proposed estimator (which has the form of an Aalen-Johansen integral, and is the first estimator proposed in this context) is established. A small simulation study exhibits its performances for finite samples. Estimation of extreme...
Topics: Statistics Theory, Machine Learning, Statistics, Mathematics
Source: http://arxiv.org/abs/1701.05458
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by Piotr Mikusinski; John Paul Ward
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We are interested in extending operators defined on positive measures, called here transfunctions, to signed measures and vector measures. Our methods use a somewhat nonstandard approach to measures and vector measures. The necessary background, including proofs of some auxiliary results, is included.
Topics: Functional Analysis, Mathematics
Source: http://arxiv.org/abs/1701.04837
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by Xiaoxiao Yang; Joost-Pieter Katoen; Huimin Lin; Hao Wu
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The verification of linearizability -- a key correctness criterion for concurrent objects -- is based on trace refinement whose checking is PSPACE-complete. This paper suggests to use \emph{branching} bisimulation instead. Our approach is based on comparing an abstract specification in which object methods are executed atomically to a real object program. Exploiting divergence sensitivity, this also applies to progress properties such as lock-freedom. These results enable the use of...
Topics: Programming Languages, Computing Research Repository
Source: http://arxiv.org/abs/1701.06104
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The central parsec of the Milky Way hosts two puzzlingly young stellar populations, a tight isotropic distribution of B stars around SgrA* (the S-stars) and a disk of OB stars extending to ~0.5pc. Using a modified version of Sverre Aarseth's direct summation code NBODY6 we explore the scenario in which a young star cluster migrates to the Galactic Centre within the lifetime of the OB disk population via dynamical friction. We find that star clusters massive and dense enough to reach the central...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1701.07440
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by Gojko Vujanovic; Gabriel S. Denicol; Matthew Luzum; Sangyong Jeon; Charles Gale
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This work reports on investigations of the effects on the evolution of viscous hydrodynamics and on the flow coefficients of thermal dileptons, originating from a temperature-dependent specific shear viscosity $\eta/s (T)$ in the quark-gluon plasma (QGP) formed at the Relativistic Heavy-Ion Collider (RHIC). We show that the elliptic flow of thermal dileptons can resolve the magnitude of $\eta/s$ at the high temperatures probed by the QGP, whereas discriminating between different specific...
Topics: Nuclear Theory, Nuclear Experiment, High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1702.02941
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Random scattering is usually viewed as a serious nuisance in optical imaging, and needs to be prevented in the conventional imaging scheme based on single-photon interference. Here we proposed a two-photon imaging scheme with the widely used lens replaced by a dynamic random medium. In contrast to destroying imaging process, the dynamic random medium in our scheme works as a crucial imaging element to bring constructive interference, and allows us to image an object from light field scattered...
Topics: Optics, Physics
Source: http://arxiv.org/abs/1701.08348
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We consider the stationaly memoryless channels with input cost. We prove that for transmission rates above the capacity the correct probability of decoding tends to zero exponentially as the block length $n$ of codes tends to infinity. In the case where both of channel input and output sets are finite, we determine the optimal exponent function on the above exponential decay of the correct probability. To derive this result we use a new technique called the recuresive method, which is based on...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1701.06545
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by Amanda Prorok; Vijay Kumar
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Urban transportation is being transformed by mobility-on-demand (MoD) systems. One of the goals of MoD systems is to provide personalized transportation services to passengers. This process is facilitated by a centralized operator that coordinates the assignment of vehicles to individual passengers, based on location data. However, current approaches assume that accurate positioning information for passengers and vehicles is readily available. This assumption raises privacy concerns. In this...
Topics: Cryptography and Security, Computing Research Repository, Robotics
Source: http://arxiv.org/abs/1703.04738
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by Bruce A. Desmarais; Skyler J. Cranmer
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Researchers interested in statistically modeling network data have a well-established and quickly growing set of approaches from which to choose. Several of these methods have been regularly applied in research on political networks, while others have yet to permeate the field. Here, we review the most prominent methods of inferential network analysis---both for cross-sectionally and longitudinally observed networks including (temporal) exponential random graph models, latent space models, the...
Topics: Physics, Physics and Society, Computing Research Repository, Social and Information Networks,...
Source: http://arxiv.org/abs/1703.02870
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by Qayum Khan; Gerrit Smith
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Given an injective amalgam at the level of fundamental groups and a specific 3-manifold, is there a corresponding geometric-topological decomposition of a given 4-manifold, in a stable sense? We find an algebraic-topological splitting criterion in terms of the orientation classes and universal covers. Also, we equivariantly generalize the Lickorish--Wallace theorem to regular covers.
Topics: Algebraic Topology, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1702.05362
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The metal-to-metal clearances of a steam turbine during full or part load operation are among the main drivers of efficiency. The requirement to add clearances is driven by a number of factors including the relative movements of the steam turbine shell and rotor during transient conditions such as startup and shutdown. This paper includes a description of a control algorithm to manage external heating blankets for the thermal control of the shell deflections during turbine shutdown. The...
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1703.00079
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by Xiaozhe Wang; Konstantin Turitsyn
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In this paper, a hybrid measurement- and model-based method is proposed which can estimate the dynamic state Jacobian matrix in near real-time. The proposed method is computationally efficient and robust to the variation of network topology. A numerical example is given to show that the proposed method is able to provide good estimation for the dynamic state Jacobian matrix and is superior to the model-based method under undetectable network topology change. The proposed method may also help...
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1703.03374
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by Dmitry Melnikov
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In this paper the low temperature zero-frequency transport in a 2+1-dimensional theory dual to a dyonic black hole is discussed. It is shown that transport exhibits topological features: the transverse electric and heat conductivities satisfy the Wiedemann-Franz law of free electrons; the direct heat conductivity is measured in units of the central charge of the dual CFT, while the direct electric conductivity vanishes; the thermoelectric conductivity is non-zero at vanishing temperature, while...
Topics: High Energy Physics - Theory, Strongly Correlated Electrons, Mesoscale and Nanoscale Physics,...
Source: http://arxiv.org/abs/1704.03973
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In this short note, we present a novel method for computing exact lower and upper bounds of a symmetric tridiagonal interval matrix. Compared to the known methods, our approach is fast, simple to present and to implement, and avoids any assumptions Our construction explicitly yields those matrices for which particular lower and upper bounds are attained.
Topics: Numerical Analysis, Computing Research Repository
Source: http://arxiv.org/abs/1704.03670
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In two dimensions, Gallagher's theorem is a strengthening of the Littlewood conjecture that holds for almost all pairs of real numbers. We prove an inhomogeneous fibre version of Gallagher's theorem, sharpening and making unconditional a result recently obtained conditionally by Beresnevich, Haynes and Velani. The idea is to find large generalised arithmetic progressions within inhomogeneous Bohr sets, extending a construction given by Tao. This precise structure enables us to verify the...
Topics: Number Theory, Combinatorics, Mathematics
Source: http://arxiv.org/abs/1703.07016
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The recent work of Gatys et al., who characterized the style of an image by the statistics of convolutional neural network filters, ignited a renewed interest in the texture generation and image stylization problems. While their image generation technique uses a slow optimization process, recently several authors have proposed to learn generator neural networks that can produce similar outputs in one quick forward pass. While generator networks are promising, they are still inferior in visual...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1701.02096
Arxiv.org
by Thomas Huettemann
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It has been shown by McCoy that a right ideal of a polynomial ring with several indeterminates has a non-trivial homogeneous right annihilator of degree 0 provided its right annihilator is non-trivial to begin with. In this note, it is shown that any N^k-graded ring R has a slightly weaker property: any non-trivial annihilator of an right ideal contains a homogeneous non-zero element. If R is a subring of a strongly Z^k-graded ring then it is possible to find annihilators of degree 0. This...
Topics: Rings and Algebras, Mathematics
Source: http://arxiv.org/abs/1703.01796
For a pinched Hadamard manifold $X$ and a discrete group of isometries $\Gamma$ of $X$, the critical exponent $\delta_\Gamma$ is the exponential growth rate of the orbit of a point in $X$ under the action of $\Gamma$. We show that the critical exponent for any family $\mathcal{N}$ of normal subgroups of $\Gamma_0$ has the same coarse behaviour as the Kazhdan distances for the right regular representations of the quotients $\Gamma_0/\Gamma$. The key tool is to analyse the spectrum of transfer...
Topics: Differential Geometry, Dynamical Systems, Mathematics
Source: http://arxiv.org/abs/1702.06115
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by Venkatesan Guruswami; Chaoping Xing; Chen Yuan
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Subspace designs are a (large) collection of high-dimensional subspaces $\{H_i\}$ of $\F_q^m$ such that for any low-dimensional subspace $W$, only a small number of subspaces from the collection have non-trivial intersection with $W$; more precisely, the sum of dimensions of $W \cap H_i$ is at most some parameter $L$. The notion was put forth by Guruswami and Xing (STOC'13) with applications to list decoding variants of Reed-Solomon and algebraic-geometric codes, and later also used for...
Topics: Mathematics, Computational Complexity, Computing Research Repository, Combinatorics
Source: http://arxiv.org/abs/1704.05992
Arxiv.org
by Shan H. Shah
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For every finite dimensional Lie group one can consider the group of all smooth loops on it, called its loop group. Such loop groups have long been studied for, among other reasons, their relations to conformal field theories and topological quantum field theories. In this thesis we introduce a new generalisation of the loop groups associated to tori, which we name bicoloured torus loop groups. An element of such a group consists mainly of two paths, each lying on two (possibly different) fixed...
Topics: Quantum Algebra, Mathematical Physics, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1704.02600
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by Toke Høiland-Jørgensen; Michał Kazior; Dave Täht; Per Hurtig; Anna Brunstrom
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With more devices connected, delays and jitter at the WiFi hop become more prevalent, and correct functioning during network congestion becomes more important. However, two important performance issues prevent modern WiFi from reaching its potential: Increased latency under load caused by excessive queueing (i.e. bufferbloat) and the 802.11 performance anomaly. To remedy these issues, we present a novel two-part solution: We design a new queueing scheme that eliminates bufferbloat in the...
Topics: Networking and Internet Architecture, Computing Research Repository
Source: http://arxiv.org/abs/1703.00064
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Opportunity detection at secondary transmitters (TXs) is a key technique enabling cognitive radio (CR) networks. Such detection however cannot guarantee reliable communication at secondary receivers (RXs), especially when their association distance is long. To cope with the issue, this paper proposes a novel MAC called sense-and-predict (SaP), where each secondary TX decides whether to access or not based on the prediction of the interference level at RX. Firstly, we provide the spatial...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1702.03507
In this paper, we consider the numerical approximations for the commonly used binary fluid-surfactant phase field model that consists two nonlinearly coupled Cahn-Hilliard equations. The main challenge in solving the system numerically is how to develop easy-to-implement time stepping schemes while preserving the unconditional energy stability. We solve this issue by developing two linear and decoupled, first order and a second order time-stepping schemes using the so-called "Invariant...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1701.07480
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by Shutaro Ueda; Tetsu Kitayama; Tadayasu Dotani
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We present the properties of intracluster medium (ICM) in the cool core of the massive cluster of galaxies Abell 1835 obtained with the data by $ Chandra$ $X$-$ray$ $Observatory$. We find distinctive spiral patterns with the radius of 70 kpc (or 18 arcsec) as a whole in the residual image of X-ray surface brightness after the 2-dimensional ellipse model of surface brightness is subtracted. The size is smaller by a factor of 2 -- 4 than that of other clusters known to have a similar pattern. The...
Topics: Cosmology and Nongalactic Astrophysics, Astrophysics of Galaxies, Astrophysics, High Energy...
Source: http://arxiv.org/abs/1701.06747
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by Takuya Takahashi
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Flare associated coronal shock waves sometimes interact with solar prominences leading to large amplitude prominence oscillations. Such prominence activation gives us unique opportunity to track time evolution of shock-cloud interaction in cosmic plasmas. Although the dynamics of interstellar shock-cloud interaction is extensively studied, coronal shock-solar prominence interaction is rarely studied in the context of shock-cloud interaction. Associated with X5.4 class solar flare occurred on 7...
Topics: Solar and Stellar Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1701.07001
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In the study of extensions of polytopes of combinatorial optimization problems, a notorious open question is that for the size of the smallest extended formulation of the Minimum Spanning Tree problem on a complete graph with $n$ nodes. The best known lower bound is the trival (dimension) bound, $\Omega(n^2)$, the best known upper bound is the extended formulation by Wong (1980) of size $O(n^3)$ (also Martin, 1991). In this note we give a nondeterministic communication protocol with cost...
Topics: Mathematics, Optimization and Control, Computing Research Repository, Discrete Mathematics
Source: http://arxiv.org/abs/1702.01424
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by Cara Battersby; John Bally; Brian Svoboda
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High-mass stars form within star clusters from dense, molecular regions, but is the process of cluster formation slow and hydrostatic or quick and dynamic? We link the physical properties of high-mass star-forming regions with their evolutionary stage in a systematic way, using Herschel and Spitzer data. In order to produce a robust estimate of the relative lifetimes of these regions, we compare the fraction of dense, molecular regions above a column density associated with high-mass star...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1702.02199
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To obtain more precise parton distribution functions (PDFs) it is important to include data on inclusive high transverse energy jet production in the global parton analyses. These data have high statistics and the NNLO terms in the perturbative QCD (pQCD) description are now available. Our aim is to reduce the uncertainty in the comparison of the jet data with pQCD. To ensure the best convergence of the pQCD series it is important to choose the appropriate factorization scales, $\mu_F$. We show...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1702.01663
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by David Sauerwein; Chiara Macchiavello; Lorenzo Maccone; Barbara Kraus
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We introduce new measures of multipartite quantum correlations based on classical correlations in mutually unbiased bases. These classical correlations are measured in terms of the classical mutual information, which has a clear operational meaning. We present sufficient conditions under which these measures are maximized. States that have previously been shown to be particularily important in the context of LOCC transformations fulfill these conditions and therefore maximize the correlation...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1701.07412
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by M. Bellazzini; V. Belokurov; L. Magrini; F. Fraternali; V. Testa; G. Beccari; A. Marchetti; R. Carini
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We present the results of the spectroscopic and photometric follow-up of two field galaxies that were selected as possible stellar counterparts of local high velocity clouds. Our analysis shows that the two systems are distant (D>20 Mpc) dwarf irregular galaxies unrelated to the local HI clouds. However, the newly derived distance and structural parameters reveal that the two galaxies have luminosities and effective radii very similar to the recently identified Ultra Diffuse Galaxies (UDGs)....
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1701.07632
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by Vikenty Mikheev; Serge E. Miheev
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The fact that Parsimony may fail is not new. However, here we proved that no mater of what topology the true 9-taxon and greater species tree is the only thing you need to fail Parsimony is to have in this tree three consecutive edges with lengths of some proportions. Obviously, the probability to meet these lengths is growing in general with the size of species tree. Therefore, Parsimony can be applied only when one knows for sure that the described lengths cannot be met in the tree.
Topics: Populations and Evolution, Quantitative Biology
Source: http://arxiv.org/abs/1703.05810
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We give a fully explicit description of Lie algebra derivatives (generalizing raising and lowering operators) for representations of SL(3,R) in terms of a basis of Wigner functions. This basis is natural from the point of view of principal series representations, as well as computations in the analytic theory of automorphic forms (e.g., with Whittaker functions). The method is based on the Clebsch-Gordan multiplication rule for Wigner functions, and applies to other Lie groups whose maximal...
Topics: Number Theory, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1702.08851
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by Pavol Hell; César Hernández-Cruz; Cláudia Linhares Sales
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A graph is a cograph if it is $P_4$-free. A $k$-polar partition of a graph $G$ is a partition of the set of vertices of $G$ into parts $A$ and $B$ such that the subgraph induced by $A$ is a complete multipartite graph with at most $k$ parts, and the subgraph induced by $B$ is a disjoint union of at most $k$ cliques with no other edges. It is known that $k$-polar cographs can be characterized by a finite family of forbidden induced subgraphs, for any fixed $k$. A concrete family of such...
Topics: Combinatorics, Mathematics
Source: http://arxiv.org/abs/1703.03500
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by A Sinan Ozkan
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In this paper, we consider a Sturm--Liouville dynamic equation with Robin boundary conditions on time scale and investigate the conditions which guarantee that the potential function is specified.
Topics: Classical Analysis and ODEs, Mathematics
Source: http://arxiv.org/abs/1702.07298
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by Raphaele Herbin; Thierry Gallouët; Jean-Claude Latché; Aurélien Larcher
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We address in this paper a nonlinear parabolic system, which is built to retain the main mathematical difficulties of the P1 radiative diffusion physical model. We propose a finite volume fractional-step scheme for this problem enjoying the following properties. First, we show that each discrete solution satisfies a priori L -estimates, through a discrete maxi- mum principle; by a topological degree argument, this yields the existence of a solution, which is proven to be unique. Second, we...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1703.01132
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by Masashi Wakaiki; Tadanao Zanma; Kang-Zhi Liu
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We study a stabilization problem for systems with quantized output feedback. The state estimate from a Luenberger observer is used for control inputs and quantization centers. First we consider the case when only the output is quantized and provide data-rate conditions for stabilization. We next generalize the results to the case where both of the plant input and output are quantized and where controllers send the quantized estimate of the plant output to encoders as quantization centers....
Topics: Systems and Control, Computing Research Repository
Source: http://arxiv.org/abs/1703.06567
We performed ab initio computations of the magnetic properties of simple iron oxide clusters and slabs. We considered an iron oxide cluster functionalized by a molecule or glued to a gold cluster of the same size. We also considered a magnetite slab coated by cobalt oxide or a mixture of iron oxide and cobalt oxide. The changes in magnetic behavior were explored using constrained magnetic calculations. A possible value for the surface anisotropy was estimated from the fit of a classical...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1703.06414
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Let M be a real Bott manifold with K\"{a}hler structure. Using Ishida characterization we give necessary and sufficient condition for the existence of the Spin-structure on M. In proof we use the technic developed in Popko, Szczepa\'{n}ski "Cohomological rigity of oriented Hantzsche-Wendt manifolds" (Adv. Math. 302 (2016), 1044 - 1068) and characteristic classes.
Topics: Differential Geometry, Mathematics
Source: http://arxiv.org/abs/1703.08302
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A $\Sigma^*$ state with spin-parity $J^P = 1/2^-$ with mass and width around $1380$ MeV and $120$ MeV, refereed to as the $\Sigma^*_{1/2^-}(1380)$, has been predicted in several pentaquark models and inferred from the analysis of CLAS $\gamma p$ data. In the present work, we discuss how one can employ the $\Lambda^+_c \to \eta \pi^+ \Lambda$ decay to test its existence, as well as to study the $\Sigma^*(1385)$ state with $J^P = 3/2^+$. Because the final $\pi^+ \Lambda$ system is in a pure...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.09502
Arxiv.org
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We study the almost sure asymptotic behavior of the supremum of the local time for a transient diffusion in a spectrally negative L{\'e}vy environment. In particular, we link this behavior with the left tail of an exponential functional of the environment conditioned to stay positive.
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1703.08035
Arxiv.org
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In this article, we consider the so-called modified Euler scheme for stochastic differential equations (SDEs) driven by fractional Brownian motions (fBm) with Hurst parameter $\frac13\frac12$. The current contribution generalizes the modified Euler scheme to the rough case $\frac13
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1703.03625
Arxiv.org
by Yong Xu; Jun Du; Zhen Huang; Li-Rong Dai; Chin-Hui Lee
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We propose a multi-objective framework to learn both secondary targets not directly related to the intended task of speech enhancement (SE) and the primary target of the clean log-power spectra (LPS) features to be used directly for constructing the enhanced speech signals. In deep neural network (DNN) based SE we introduce an auxiliary structure to learn secondary continuous features, such as mel-frequency cepstral coefficients (MFCCs), and categorical information, such as the ideal binary...
Topics: Sound, Computing Research Repository
Source: http://arxiv.org/abs/1703.07172