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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 Jekanthan Thangavelautham; Kenneth Law; Terence Fu; Nader Abu El Samid; Alexander D. S. Smith; Gabriele M. T. D'Eleuterio
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In this paper, a control approach called Artificial Neural Tissue (ANT) is applied to multirobot excavation for lunar base preparation tasks including clearing landing pads and burying of habitat modules. We show for the first time, a team of autonomous robots excavating a terrain to match a given 3D blueprint. Constructing mounds around landing pads will provide physical shielding from debris during launch/landing. Burying a human habitat modules under 0.5 m of lunar regolith is expected to...
Topics: Astrophysics, Computing Research Repository, Robotics, Instrumentation and Methods for Astrophysics
Source: http://arxiv.org/abs/1701.01657
Arxiv.org
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Connected components of real algebraic varieties invariant under the $CB_{n}$-Coxeter group are investigated. In particular, we consider their maximal number and their geometric and topological properties. This provides a decomposition for the space of $CB_{n}$-algebraic varieties. We construct $CB_{n}$-polynomials using Young-posets and partitions of integers. Our results establish bounds on the number of connected components for a given set of coefficients. It turns out that this number can...
Topics: Algebraic Geometry, Mathematics
Source: http://arxiv.org/abs/1701.03951
Arxiv.org
by Ran Ben Basat; Gil Einziger; Roy Friedman; Yaron Kassner
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Monitoring the traffic volumes of elephant flows, including the total byte count per flow, is a fundamental capability for online network measurements. We present an asymptotically optimal algorithm for solving this problem in terms of both space and time complexity. This improves on previous approaches, which can only count the number of packets in constant time. We evaluate our work on real packet traces, demonstrating an up to X2.5 speedup compared to the best alternative.
Topics: Data Structures and Algorithms, Computing Research Repository
Source: http://arxiv.org/abs/1701.04021
Arxiv.org
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Credit assignment in traditional recurrent neural networks usually involves back-propagating through a long chain of tied weight matrices. The length of this chain scales linearly with the number of time-steps as the same network is run at each time-step. This creates many problems, such as vanishing gradients, that have been well studied. In contrast, a NNEM's architecture recurrent activity doesn't involve a long chain of activity (though some architectures such as the NTM do utilize a...
Topics: Learning, Neural and Evolutionary Computing, Artificial Intelligence, Computing Research Repository
Source: http://arxiv.org/abs/1701.03866
Arxiv.org
by Fred C. Adams; Stephon Alexander; Evan Grohs; Laura Mersini-Houghton
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This paper derives an upper limit on the density $\rho_{\scriptstyle\Lambda}$ of dark energy based on the requirement that cosmological structure forms before being frozen out by the eventual acceleration of the universe. By allowing for variations in both the cosmological parameters and the strength of gravity, the resulting constraint is a generalization of previous limits. The specific parameters under consideration include the amplitude $Q$ of the primordial density fluctuations, the Planck...
Topics: Cosmology and Nongalactic Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1701.03949
Arxiv.org
by Eduar A. Becerra; F. L. Dubeibe; Guillermo A. González
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The study on the stability of relativistic disks is one of the most important criteria for the characterization of astrophysically relevant galactic or accretion disks models. In this paper, we perform an analysis of the stability of static axisymmetric relativistic thin disks, by introducing a first-order perturbation into the energy-momentum tensor of the fluid. The formalism is applied to three particular models built with the aid of the displace-cut-reflect (DCR) method, and previously...
Topic: General Relativity and Quantum Cosmology
Source: http://arxiv.org/abs/1701.03686
Arxiv.org
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We present direct logarithmically optimal in theory and fast in practice algorithms to implement the tensor product high order finite element method on multi-dimensional rectangular parallelepipeds for solving PDEs of the Poisson kind. They are based on the well-known Fourier approaches. The key new points are the fast direct and inverse FFT-based algorithms for expansion in eigenvectors of the 1D eigenvalue problems for the high order FEM. The algorithms can further be used for numerous...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1701.03967
Arxiv.org
by Yufeng Lin; Gordon Ogilvie
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Spin-orbit misalignments have been detected in exoplanetary systems and binary star systems. Tidal interactions may have played an important role in the evolution of the spin-orbit angle. In this study, we investigate the tidal interactions in spin-orbit misaligned systems. In particular, we focus on the tidal response of a rotating fluid body to the obliquity tide, which may be important for the evolution of the spin-orbit angle but hardly affects the orbital evolution. The obliquity tide also...
Topics: Solar and Stellar Astrophysics, Astrophysics, Earth and Planetary Astrophysics
Source: http://arxiv.org/abs/1702.08805
Arxiv.org
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We calculate the Wilson coefficients of dimension 6 gluon operators with spin indices in the two point correlation function of the heavy scalar, pseudoscalar, and axialvector currents. Our result completes the list of all Wilson coefficients of gluon operators up to dimension 6 for the correlation functions between heavy quark currents without derivatives. We then use the result to investigate the stability of the QCD sum rule results for the $\eta_c$, $J/\Psi$, $\chi_{c0}$, and $\chi_{c1}$...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.00250
Arxiv.org
by Fangfang Qin; Zhaohui Wang; Zhijie Ma; Zhilin Li
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New finite element methods are proposed for elliptic interface problems in one and two dimensions. The main motivation is not only to get an accurate solution but also an accurate first order derivative at the interface (from each side). The key in 1D is to use the idea from \cite{wheeler1974galerkin}. For 2D interface problems, the idea is to introduce a small tube near the interface and introduce the gradient as part of unknowns, which is similar to a mixed finite element method, except only...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1703.00093
Arxiv.org
by Antimo Marrazzo; Raffaele Resta
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The geometrical intrinsic contribution to the anomalous Hall conductivity (AHC) of a metal is commonly expressed as a reciprocal-space integral: as such, it only addresses unbounded and macroscopically homogeneous samples. Here we show that the geometrical AHC has an equivalent expression as a local property. We define a "geometrical marker" which actually probes the AHC in inhomogeneous systems (e.g. heterojunctions), as well as in bounded samples. The marker may even include...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1702.08885
Arxiv.org
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Considering the problem of risk-sensitive parameter estimation, we propose a fairly wide family of lower bounds on the exponential moments of the quadratic error, both in the Bayesian and the non--Bayesian regime. This family of bounds, which is based on a change of measures, offers considerable freedom in the choice of the reference measure, and our efforts are devoted to explore this freedom to a certain extent. Our focus is mostly on signal models that are relevant to communication problems,...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.00188
Arxiv.org
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We consider the first exit time of a Shiryaev-Roberts diffusion with constant positive drift from the interval $[0,A]$ where $A>0$. We show that the moment generating function (Laplace transform) of a suitably standardized version of the first exit time converges to that of the unit-mean exponential distribution as $A\to+\infty$. The proof is explicit in that the moment generating function of the first exit time is first expressed analytically and in a closed form, and then the desired limit...
Topics: Statistics Theory, Statistics, Methodology, Mathematics
Source: http://arxiv.org/abs/1702.08900
Arxiv.org
by Lorenzo Brandolese; Charafeddine Mouzouni
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We give a direct proof of the fact that the $L^{p)$-norms of global solutions of the Boussinesq system in $R^{3}$ grow large as $ t \rightarrow + \infty $ for $ 1 < p < 3 $ and decay to zero for $ 3 < p \leq \infty $, providing exact estimates from below and above using a suitable decomposition of the space-time space $ R^{+} \times R^{3} $. In particular, the kinetic energy blows up as $ \| u(t) \|_{2}^{2} \sim c t^{1/2} $ for large time. This contrasts with the case of the...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.00793
Arxiv.org
by Clément Collignon; Benoit Fauqué; Antonella Cavanna; Ulf Gennser; Dominique Mailly; Kamran Behnia
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The critical temperature of a superconductor may evolve non-monotonically with carrier concentration. The fate of the superfluid density in this context has remained an unsettled issue for decades. Here, we present a study of the lower critical field, H$_{c1}$, of niobium-doped strontium titanate as a function of carrier concentration with the aim of quantifying the superfluid density. At low carrier concentration (i.e. the underdoped side), superfluid density and the carrier concentration in...
Topics: Strongly Correlated Electrons, Materials Science, Condensed Matter, Superconductivity
Source: http://arxiv.org/abs/1703.00863
Arxiv.org
by Mboyo Esole; Patrick Jefferson; Monica Jinwoo Kang
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Based on an identity of Jacobi, we prove a simple formula that computes the pushforward of analytic functions of the exceptional divisor of a blowup of a projective variety along a smooth complete intersection with normal crossing. We apply this pushforward formula to derive generating functions for Euler characteristics of crepant resolutions of singular Weierstrass models given by Tate's algorithm. Since these Euler characteristics depend only on the sequence of blowups and not on the Kodaira...
Topics: High Energy Physics - Theory, Algebraic Geometry, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1703.00905
Arxiv.org
by André Chailloux; Iordanis Kerenidis; Mathieu Laurière
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We consider memoryless quantum communication protocols, where the two parties do not possess any memory besides their classical input and they take turns performing unitary operations on a pure quantum state that they exchange between them. Most known quantum protocols are of this type and recently a deep connection between memoryless protocols and Bell inequality violations has been explored recently by Buhrman et al. We study the information cost of memoryless quantum protocols by looking at...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1703.01061
Arxiv.org
by Cristina Acciarri; Pavel Shumyatsky
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Let $w$ be a multilinear commutator word. In the present paper we describe recent results that show that if $G$ is a profinite group in which all $w$-values are contained in a union of finitely (or in some cases countably) many subgroups with a prescribed property, then the verbal subgroup $w(G)$ has the same property as well. In particular, we show this in the case where the subgroups are periodic or of finite rank.
Topics: Group Theory, Mathematics
Source: http://arxiv.org/abs/1703.00979
Arxiv.org
by Kok Chuan Tan; Tyler Volkoff; Hyukjoon Kwon; Hyunseok Jeong
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In this paper, we detail an orthogonalization procedure that allows for the quantification of the amount of coherence present an arbitrary superposition of coherent states. The present construction is based on the quantum coherence resource theory introduced by Baumgratz et al., and the coherence resource monotone that we identify is found to characterize the nonclassicality traditionally analyzed via the Glauber-Sudarshan $P$ distribution. This suggests that identical quantum resources...
Topic: Quantum Physics
Source: http://arxiv.org/abs/1703.01067
Arxiv.org
by Jeffrey Eldred; Alexander Valishev
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Integrable optics is an innovation in particle accelerator design that provides strong nonlinear focusing while avoiding parametric resonances. One promising application of integrable optics is to overcome the traditional limits on accelerator intensity imposed by betatron tune-spread and collective instabilities. The efficacy of high-intensity integrable accelerators will be undergo comprehensive testing over the next several years at the Fermilab Integrable Optics Test Accelerator (IOTA) and...
Topics: Accelerator Physics, Physics
Source: http://arxiv.org/abs/1703.00953
Arxiv.org
by T. Karthick; Suchismita Mishra
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We show that every ($P_6$, diamond, $K_4$)-free graph is $6$-colorable. Moreover, we give an example of a ($P_6$, diamond, $K_4$)-free graph $G$ with $\chi(G) = 6$. This generalizes some known results in the literature.
Topics: Discrete Mathematics, Combinatorics, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.00606
Arxiv.org
by Anthony Faustine; Nerey Henry Mvungi; Shubi Kaijage; Kisangiri Michael
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The rapid urbanization of developing countries coupled with explosion in construction of high rising buildings and the high power usage in them calls for conservation and efficient energy program. Such a program require monitoring of end-use appliances energy consumption in real-time. The worldwide recent adoption of smart-meter in smart-grid, has led to the rise of Non-Intrusive Load Monitoring (NILM); which enables estimation of appliance-specific power consumption from building's aggregate...
Topics: Other Computer Science, Computing Research Repository
Source: http://arxiv.org/abs/1703.00785
Arxiv.org
by Dhruba Dutta Chowdhury; Suchetana Chatterjee
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Several analytic and numerical studies have indicated that the interstellar medium of a quasar host galaxy heated by feedback can contribute to a substantial secondary signal in the cosmic microwave background (CMB) through the thermal Sunyaev-Zel'dovich (SZ) effect. Recently, many groups have tried to detect this signal by cross-correlating CMB maps with quasar catalogs. Using a self-similar model for the gas in the intra-cluster medium and a realistic halo occupation distribution (HOD)...
Topics: Cosmology and Nongalactic Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1703.00920
Arxiv.org
by Karel Proesmans; Hans Vandebroek; Christian Van den Broeck
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Inspired by Kubo-Anderson Markov processes, we introduce a new class of transfer matrices whose largest eigenvalue is determined by a simple explicit algebraic equation. Applications include the free energy calculation for various equilibrium systems and a general criterion for perfect harmonicity, i.e., a free energy that is exactly quadratic in the external field. As an illustration, we construct a "perfect spring", namely a polymer with non-Gaussian, exponentially distributed...
Topics: Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1703.00769
Arxiv.org
by Robert J. Perry; Manuel E. Carrillo-Serrano; Anthony W. Thomas
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Corrections motivated by chiral symmetry arguments have long been known to give important contributions to hadronic observables, particularly at low momentum transfer. It is possible to separate these approaches into two broad groups; either the corrections are implemented at the parton level, or at the hadron level. We explore the results of incorporating pion loop corrections at the hadron level to a calculation of electromagnetic form factors in the NJL model. These calculations are compared...
Topic: Nuclear Theory
Source: http://arxiv.org/abs/1703.01032
Arxiv.org
by Shai Evra; Emmanuel Kowalski; Alexander Lubotzky
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A long standing problem in the area of error correcting codes asks whether there exist good cyclic codes. Most of the known results point in the direction of a negative answer. The uncertainty principle is a classical result of harmonic analysis asserting that given a non-zero function $f$ on some abelian group, either $f$ or its Fourier transform $\hat{f}$ has large support. In this note, we observe a connection between these two subjects. We point out that even a weak version of the...
Topics: Representation Theory, Information Theory, Computing Research Repository, Number Theory, Mathematics
Source: http://arxiv.org/abs/1703.01080
Arxiv.org
by Huanqing Chen; Christine Jones; Felipe Andrade-Santos; John A. ZuHone; Zhiyuan Li
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The rich galaxy cluster Abell 2204 exhibits edges in its X-ray surface brightness at $\sim 65$ and $35 {\rm~ kpc}$ west and east of its center, respectively. The presence of these edges, which were interpreted as sloshing cold fronts, implies that the intracluster medium was recently disturbed. We analyze the properties of the intracluster medium using multiple Chandra observations of Abell 2204. We find a density ratio $n_{\rm in}/n_{\rm out} = 2.05\pm0.05$ and a temperature ratio $T_{\rm...
Topics: Astrophysics of Galaxies, Cosmology and Nongalactic Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1703.01895
Arxiv.org
by Alina Ene; Huy L. Nguyen; László A. Végh
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This paper investigates connections between discrete and continuous approaches for decomposable submodular function minimization. We provide improved running time estimates for the state-of-the-art continuous algorithms for the problem using combinatorial arguments. We also provide a systematic experimental comparison of the two types of methods, based on a clear distinction between level-0 and level-1 algorithms.
Topics: Learning, Data Structures and Algorithms, Computing Research Repository
Source: http://arxiv.org/abs/1703.01830
Arxiv.org
by S. Ambily; Joice Mathew; Mayuresh Sarpotdar; A. G. Sreejith; K. Nirmal; Ajin Prakash; Margarita Safonova; Jayant Murthy
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We are developing a compact UV Imager using light weight components, that can be flown on a small CubeSat or a balloon platform. The system has a lens-based optics that can provide an aberration-free image over a wide field of view. The backend instrument is a photon counting detector with off-the-shelf MCP, CMOS sensor and electronics. We are using a Z-stack MCP with a compact high voltage power supply and a phosphor screen anode, which is read out by a CMOS sensor and the associated...
Topics: Instrumentation and Methods for Astrophysics, Astrophysics
Source: http://arxiv.org/abs/1703.01116
We develop the non-commutative polynomial version of the invariant theory for the quantum general linear supergroup ${\rm{ U}}_q(\mathfrak{gl}_{m|n})$. A non-commutative ${\rm{ U}}_q(\mathfrak{gl}_{m|n})$-module superalgebra $\mathcal{P}^{k|l}_{\,r|s}$ is constructed, which is the quantum analogue of the supersymmetric algebra over $\mathbb{C}^{k|l}\otimes \mathbb{C}^{m|n}\oplus \mathbb{C}^{r|s}\otimes (\mathbb{C}^{m|n})^{\ast}$. We analyse the structure of the subalgebra of ${\rm{...
Topics: Quantum Algebra, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1703.01848
Arxiv.org
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This tutorial introduces a new and powerful set of techniques variously called "neural machine translation" or "neural sequence-to-sequence models". These techniques have been used in a number of tasks regarding the handling of human language, and can be a powerful tool in the toolbox of anyone who wants to model sequential data of some sort. The tutorial assumes that the reader knows the basics of math and programming, but does not assume any particular experience with...
Topics: Learning, Machine Learning, Statistics, Computing Research Repository, Computation and Language
Source: http://arxiv.org/abs/1703.01619
Arxiv.org
by Jingwu He; Linbo Wang; Wenzhe Zhou; Hongjie Zhang; Xiufen Cui; Yanwen Guo
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This paper studies the problem of how to choose good viewpoints for taking photographs of architectures. We achieve this by learning from professional photographs of world famous landmarks that are available on the Internet. Unlike previous efforts devoted to photo quality assessment which mainly rely on 2D image features, we show in this paper combining 2D image features extracted from images with 3D geometric features computed on the 3D models can result in more reliable evaluation of...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1703.01702
Arxiv.org
by Stefan Lafon; Jacques Lévy Véhel; Jacques Peyrière
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Optimal sampling of non band-limited functions is an issue of great importance that has attracted considerable attention. We propose to tackle this problem through the use of a frequency warping: First, by a nonlinear shrinking of frequencies, the function is transformed into a band-limited one. One may then perform a decomposition in Fourier series. This process gives rise to new orthonormal bases of the Sobolev spaces H^alpha. When alpha is an integer, these orthonormal bases can be expressed...
Topics: Classical Analysis and ODEs, Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.01330
Arxiv.org
by S. Akshay; Supratik Chakraborty; Ajith K. John; Shetal Shah
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Given a relational specification R(X, Y), where X and Y are sequences of input and output variables, we wish to synthesize each output as a function of the inputs such that the specification holds. This is called the Boolean functional synthesis problem and has applications in several areas. In this paper, we present the first parallel approach for solving this problem, using compositional and CEGAR-style reasoning as key building blocks. We show by means of extensive experiments that our...
Topics: Logic in Computer Science, Computing Research Repository
Source: http://arxiv.org/abs/1703.01440
Arxiv.org
by G. Bighin; L. Salasnich
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Vortices are commonly observed in the context of classical hydrodynamics: from whirlpools after stirring the coffee in a cup to a violent atmospheric phenomenon such as a tornado, all classical vortices are characterized by an arbitrary circulation value of the local velocity field. On the other hand the appearance of vortices with quantized circulation represents one of the fundamental signatures of macroscopic quantum phenomena. In two-dimensional superfluids quantized vortices play a key...
Topics: Quantum Gases, Condensed Matter
Source: http://arxiv.org/abs/1703.02427
Arxiv.org
by Eric Foxall
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We consider a model of language development, known as the naming game, in which agents invent, share and then select descriptive words for a single object, in such a way as to promote local consensus. When formulated on a finite and connected graph, a global consensus eventually emerges in which all agents use a common unique word. Previous numerical studies of the model on the complete graph with $n$ agents suggest that when no words initially exist, the time to consensus is of order...
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1703.02088
Arxiv.org
by George Gkantzounis; Timothy Amoah; Marian Florescu
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We demonstrate the existence of large phononic band gaps in designed hyperuniform (isotropic) disordered two-dimensional (2D) phononic structures of Pb cylinders in epoxy matrix. The phononic band gaps in hyperuniform disordered phononic structures are comparable to band gaps of similar periodic structures, for both out-of-plane and in-plane polarizations. A large number of localized modes is identified near the band edges, as well as, diffusive transmission throughout the rest of the frequency...
Topics: Disordered Systems and Neural Networks, Condensed Matter
Source: http://arxiv.org/abs/1703.02417
Arxiv.org
by Gonzalo Galiano; Julián Velasco
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We study a generalization of a cross-diffusion problem deduced from a nonlinear complex-variable diffusion model for signal and image denoising. We prove the existence of weak solutions of the time-independent problem with fidelity terms under mild conditions on the data problem. Then, we show that this translates on the well-posedness of a quasi-steady state approximation of the evolution problem, and also prove the existence of weak solutions of the latter under more restrictive hypothesis....
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.02487
Arxiv.org
by Changfeng Gui; Aleks Jevnikar; Amir Moradifam
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We prove symmetry and uniqueness results for three classes of Liouville-type problems arising in geometry and mathematical physics: asymmetric Sinh-Gordon equation, cosmic string equation and Toda system, under certain assumptions on the mass associated to these problems. The argument is in the spirit of the Sphere Covering Inequality which for the first time is used in treating different exponential nonlinearities and systems.
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.02246
Arxiv.org
by A. P. Reed; K. H. Mayer; J. D. Teufel; L. D. Burkhart; W. Pfaff; M. Reagor; L. Sletten; X. Ma; R. J. Schoelkopf; E. Knill; K. W. Lehnert
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We convert propagating qubits encoded as superpositions of zero and one photons to the motion of a micrometer-sized mechanical resonator. Using quantum state tomography, we determine the density matrix of both the propagating photons and the mechanical resonator. By comparing a sufficient set of states before and after conversion, we determine the average process fidelity to be $F_{\textrm{avg}} = 0.83\substack{+0.03-0.06}$ which exceeds the classical bound for the conversion of an arbitrary...
Topics: Condensed Matter, Quantum Physics, Superconductivity
Source: http://arxiv.org/abs/1703.02548
Arxiv.org
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Multiplex networks consist of a fixed set of nodes connected by several sets of edges which are generated separately and correspond to different networks ("layers"). Here, the Ising model on multiplex networks with two layers is considered, with spins located in the nodes and edges corresponding to ferromagnetic interactions between them. Critical temperatures for the ferromagnetic transition are evaluated for the layers in the form of random Erd\"os-R\'enyi graphs or...
Topics: Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1703.02431
Arxiv.org
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In this paper, we consider the initial-boundary value problem for the time-dependent Maxwell--Schr\"{o}dinger equations in the Coulomb gauge. We first prove the global existence of weak solutions to the equations. Next we propose an energy-conserving fully discrete finite element scheme for the system and prove the existence and uniqueness of solutions to the discrete system. The optimal error estimates for the numerical scheme without any time-step restrictions are then derived. Numerical...
Topics: Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1703.02265
Arxiv.org
by Blake Barker; Jeffrey Humpherys; Gregory Lyng; Kevin Zumbrun
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The Evans function is a powerful tool for the stability analysis of viscous shock profiles; zeros of this function carry stability information. In the one-dimensional case, it is typical to compute the Evans function using Goodman's integrated coordinates [G1]; this device facilitates the search for zeros of the Evans function by winding number arguments. Although integrated coordinates are not available in the multidimensional case, we show here that there is a choice of coordinates which...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.02099
Arxiv.org
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We prove that the Yang-Mills equation in Lorenz gauge in the (n+1)-dimensional case is locally well-posed for data of the gauge potential in $H^s$ and the curvature in $H^r$ , where $s >\frac{n}{2}-\frac{7}{8}$ , $r > \frac{n}{2}-\frac{7}{4}$ , if $n \ge 4$, and $ s > \frac{5}{7}$ , $ r > - \frac{1}{7}$ , if $n=3$. The proof is based on the fundamental results of Klainerman-Selberg \cite{KS} and on the null structure of most of the nonlinear terms detected by Selberg-Tesfahun...
Topics: Analysis of PDEs, Mathematics
Source: http://arxiv.org/abs/1703.01949
Arxiv.org
by Jorge Almeida; Zoltán Ésik; Jean-Éric Pin
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We study the commutative positive varieties of languages closed under various operations: shuffle, renaming and product over one-letter alphabets.
Topics: Group Theory, Formal Languages and Automata Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.02154
Arxiv.org
by Eliav Buchnik; Edith Cohen
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Graph-based semi-supervised learning (SSL) algorithms predict labels for all nodes based on provided labels of a small set of seed nodes. Classic methods capture the graph structure through some underlying diffusion process that propagates through the graph edges. Spectral diffusion, which includes personalized page rank and label propagation, propagates through random walks. Social diffusion propagates through shortest paths. A common ground to these diffusions is their {\em linearity}, which...
Topics: Learning, Computing Research Repository
Source: http://arxiv.org/abs/1703.02618
Arxiv.org
by Dariusz Buraczewski; Piotr Dyszewski; Alexander Iksanov; Alexander Marynych
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An infinite convergent sum of independent and identically distributed random variables discounted by a multiplicative random walk is called perpetuity, because of a possible actuarial application. We give three disjoint groups of sufficient conditions which ensure that the distribution right tail of a perpetuity $\mathbb{P}\{X>x\}$ is asymptotic to $ax^ce^{-bx}$ as $x\to\infty$ for some $a,b>0$ and $c\in\mathbb{R}$. Our results complement those of Denisov and Zwart [J. Appl. Probab. 44...
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1703.02330
Arxiv.org
by Francois Lafond; Daniel Kim
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Almost by definition, radical innovations create a need to revise existing classification systems. As a result, the evolution of technological classification systems reflects technological evolution. We present three sets of findings regarding classification volatility in the U.S. Patent Classification System. First, we study the evolution of the number of distinct classes. Reconstructed time series based on the current classification scheme are very different from historical data. This...
Topics: Economics, Quantitative Finance
Source: http://arxiv.org/abs/1703.02104
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by Manuel S. Stein; Shahar Bar; Josef A. Nossek; Joseph Tabrikian
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In this paper, the problem of signal parameter estimation from measurements acquired by a low-complexity analog-to-digital converter (ADC) with $1$-bit output resolution and an unknown quantization threshold is considered. Single-comparator ADCs are energy-efficient and can be operated at ultra-high sampling rates. For analysis of such hard-limiting systems, a fixed and known quantization threshold is usually assumed. In the symmetric case, i.e., zero hard-limiting offset, it is well-understood...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.02008
Arxiv.org
by Muhammad Ozair Iqbal; Ammar Mahmood; Muhammad Mahboob Ur Rahman; Qammer H. Abbasi
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This paper studies a system where a set of $N$ relay nodes harvest energy from the signal received from a source to later utilize it when forwarding the source's data to a destination node via distributed beamforming. To this end, we derive (approximate) analytical expressions for the mean SNR at destination node when relays employ: i) time-switching based energy harvesting policy, ii) power-splitting based energy harvesting policy. The obtained results facilitate the study of the interplay...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.02025
Arxiv.org
by A. A. Castro; O. Olicón; R. Escamilla; F. Morales
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We studied the effects of substitution of Pd by Cu on the upper critical field of the noncentrosymmetric superconductor Li$_2$Pd$_{3-x}$Cu$_x$B, with x=0.0, 0.1 and 0.2. The upper critical field as a function of temperature was determined by resistance measurements at different magnetic fields. We found that the superconducting transition temperature decreases as the Cu content increases. Moreover, the temperature dependence of the upper critical field is linear in the range of the temperature...
Topics: Condensed Matter, Superconductivity
Source: http://arxiv.org/abs/1703.02669
Arxiv.org
by Hoang M. Le; Yisong Yue; Peter Carr
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We study the problem of imitation learning from demonstrations of multiple coordinating agents. One key challenge in this setting is that learning a good model of coordination can be difficult, since coordination is often implicit in the demonstrations and must be inferred as a latent variable. We propose a joint approach that simultaneously learns a latent coordination model along with the individual policies. In particular, our method integrates unsupervised structure learning with...
Topics: Learning, Computing Research Repository
Source: http://arxiv.org/abs/1703.03121
Arxiv.org
by S. Karthiga; V. K. Chandrasekar; M. Senthilvelan; M. Lakshmanan
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We investigate the dynamics of a coupled waveguide system with competing linear and nonlinear loss-gain profiles which can facilitate power saturation. We show the usefulness of the model in achieving unidirectional beam propagation. In this regard, the considered type of coupled waveguide system has two drawbacks, (i) difficulty in achieving perfect isolation of light in a waveguide and (ii) existence of blow-up type behavior for certain input power situations. We here show a nonlinear...
Topics: Pattern Formation and Solitons, Nonlinear Sciences
Source: http://arxiv.org/abs/1703.02752
Arxiv.org
by Pansy Arafa; Hany Kashif; Sebastian Fischmeister
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Software tracing techniques are well-established and used by instrumentation tools to extract run-time information for program analysis and debugging. Dynamic binary instrumentation as one tool instruments program binaries to extract information. Unfortunately, instrumentation causes perturbation that is unacceptable for time-sensitive applications. Consequently we developed DIME*, a tool for dynamic binary instrumentation that considers timing constraints. DIME* uses Pin and a rate-based...
Topics: Software Engineering, Computing Research Repository, Performance, Programming Languages
Source: http://arxiv.org/abs/1703.02873
Arxiv.org
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The classic Kob-Andersen (KA) binary Lennard-Jones mixtures which are designed to prevent crystallization has been extensively studied in simulation of slow dynamics. Although crystallization can occur if a liquid system is cooled slowly, so far the KA model has not been crystallized. Here we report using molecular simulation the observation of crystal growth in the supercooled KA liquids. The onset of crystallization is observed occurring at temperature $T_c= 0.55$ which is higher than the...
Topics: Condensed Matter, Soft Condensed Matter
Source: http://arxiv.org/abs/1703.02659
Arxiv.org
by Hale Karayer; Dogan Demirhan; Fevzi Buyukkilic
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One dimensional Klein-Gordon (KG) equation is investigated in the domain of conformable fractional calculus for one dimensional scalar potential namely generalized Hulthen potential. The conformable fractional calculus is based on conformable fractional derivative which is the most natural definition in non integer order calculus. Fractional order differential equations can be solved analytically by means of this derivative operator. We obtained exact eigenvalue and eigenfunction solutions of...
Topics: Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1703.03234
Quantum-mechanical investigation is presented to study single attosecond pulse generation by gating high-order harmonic emission from H$_2^+$ molecule in intense laser pulses with time-dependent ellipticity. The high-order harmonic generation from H$_2^+$ molecule in superposition of a left and a right-hand circularly polarized Gaussian pulse is studied and the effect of time duration and carrier-envelope phase of laser field on single attosecond pulse generation is investigated. Using laser...
Topics: Atomic Physics, Physics, Quantum Physics
Source: http://arxiv.org/abs/1703.02888
Arxiv.org
by Dominic Breit; Eduard Feireisl; Martina Hofmanova; Bohdan Maslowski
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We study the long-time behavior of solutions to a stochastically driven Navier-Stokes system describing the motion of a compressible viscous fluid driven by a temporal multiplicative white noise perturbation. The existence of stationary solutions is established in the framework of Lebesgue--Sobolev spaces pertinent to the class of weak martingale solutions. The methods are based on new global-in-time estimates and a combination of deterministic and stochastic compactness arguments. In contrast...
Topics: Probability, Mathematics
Source: http://arxiv.org/abs/1703.03177
Arxiv.org
by Adel Alahmadi; Cem Güneri; Buket Özkaya; Hatoon Shoaib; Patrick Solé
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Linear codes with complementary-duals (LCD) are linear codes that intersect with their dual trivially. Multinegacirculant codes of index $2$ that are LCD are characterized algebraically and some good codes are found in this family. Exact enumeration is performed for indices 2 and 3, and for all indices $t$ for a special case of the co-index by using their concatenated structure. Asymptotic existence results are derived for the special class of such codes that are one-generator and have co-index...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.03115
Arxiv.org
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Intensity modulated proton therapy (IMPT) provides highly conformal dose distributions through the application of multiple, angularly spaced fields, each applying an ad-hoc pattern of spatially varying particle fluences. In particular, Bragg peaks are simultaneously optimized for all the fields. Once the number and the direction of the fields are set, the dose distribution of the IMPT plan is determined by the dose constraints assigned to specific organs-at-risk (OARs) surrounding the tumour....
Topics: Physics, Medical Physics
Source: http://arxiv.org/abs/1703.03293
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Hamenst\"adt gave a parametrization of the Teichm\"uller space of punctured surfaces such that the image under this parametrization is the interior of a polytope. In this paper, we study the Hilbert metric on the Teichm\"uller space of punctured surfaces based on this parametrization. We prove that every earthquake ray is an almost geodesic under the Hilbert metric.
Topics: Metric Geometry, Complex Variables, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1703.02683
Arxiv.org
by Meera Ramaswamy; Neil Y. C. Lin; Brian D. Leahy; Christopher Ness; Andrew Fiore; James W. Swan; Itai Cohen
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Understanding the correlation between structure and rheology in colloidal suspensions is important as these suspensions are crucial in industrial applications. Moreover, colloids exhibit a wide range of structures under confinement that could considerably alter the viscosity. Here, we use a combination of experiments and simulations to elucidate how confinement induced structures alter the relative contributions of hydrodynamic and repulsive forces to produce up to a ten fold change in the...
Topics: Condensed Matter, Soft Condensed Matter
Source: http://arxiv.org/abs/1703.02904
Arxiv.org
by D. A. Papaconstantopoulos
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Recent computational studies confirmed by experiment have established the occurrence of superconducting temperatures, $T_c$, near 200 K when the pressure is close to 200 GPa in the compound H$_3S$. Motivated by these findings we investigate in this work the possibility of discovering high-temperature superconductivity in the material H$_3$F. We performed linearized augmented plane wave(LAPW) calculations followed by the determination of the angular momentum components of the density of states,...
Topics: Condensed Matter, Superconductivity
Source: http://arxiv.org/abs/1703.03362
Arxiv.org
by Utsab Gangopadhyaya; Snigdha Ghosh; Sukanya Mitra; Sourav Sarkar
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We estimate the shear and the bulk viscous coefficients for a hot hadronic gas mixture constituting of pions and nucleons. The viscosities are evaluated in the relativistic kinetic theory approach by solving the transport equation in the relaxation time approximation for binary collisions ($\pi\pi$,$\pi N$ and $NN$). Instead of vacuum cross-sections usually used in the literature we employ in-medium scattering amplitudes in the estimation of the relaxation times. The modified cross-sections for...
Topics: Nuclear Theory, High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.03584
Arxiv.org
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Exemplar models are a popular class of models used to describe language change. Here we study how limiting the memory capacity of an individual in these models affects the system's behaviour. In particular we demonstrate the effect this change has on the extinction of categories. Previous work in exemplar dynamics has not addressed this question. In order to investigate this, we will inspect a simplified exemplar model. We will prove for the simplified model that all the sound categories but...
Topics: Computing Research Repository, Computation and Language
Source: http://arxiv.org/abs/1703.03842
Arxiv.org
by V. V. Enaldiev; V. A. Volkov
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Recent measurements of the conductivity of nanoperforated graphene are interpreted in terms of edges states existing near the edge of each nanohole. The perimetric quantization of edge states should result in the formation of a quasi-equidistant ladder of quasistationary energy levels. Dirac fermions filling this ladder rotate about each nanohole in the direction determined by the valley index. It is shown that the irradiation of this system by circularly polarized terahertz radiation leads to...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1703.03979
Arxiv.org
by Alexander Berglund
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Given a fiber bundle, we construct a differential graded Lie algebra model for the classifying space of the monoid of homotopy equivalences of the base covered by a fiberwise isomorphism of the total space.
Topics: Algebraic Topology, Mathematics
Source: http://arxiv.org/abs/1703.03747
Arxiv.org
by Christian Hoffmann; Theodora Ioannidou; Sarah Kahlen; Burkhard Kleihaus; Jutta Kunz
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When bosonic matter in the form of a complex scalar field is added to Ellis wormholes, the phenomenon of spontaneous symmetry breaking is observed. Symmetric solutions possess full reflection symmetry with respect to the radial coordinate of the two asymptotically flat spacetime regions connected by the wormhole, whereas asymmetric solutions do not possess this symmetry. Depending on the size of the throat, at bifurcation points pairs of asymmetric solutions arise from or merge with the...
Topic: General Relativity and Quantum Cosmology
Source: http://arxiv.org/abs/1703.03344
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by Anton Eremeev; Yulia Kovalenko
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We consider the Travelling Salesman Problem with Vertex Requisitions, where for each position of the tour at most two possible vertices are given. It is known that the problem is strongly NP-hard. The proposed algorithm for this problem has less time complexity compared to the previously known one. In particular, almost all feasible instances of the problem are solvable in O(n) time using the new algorithm, where n is the number of vertices. The developed approach also helps in fast enumeration...
Topics: Data Structures and Algorithms, Computing Research Repository
Source: http://arxiv.org/abs/1703.03963
Arxiv.org
by Ben A. Fisch; Rafael Pass; Abhi Shelat
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Mining for Bitcoins is a high-risk high-reward activity. Miners, seeking to reduce their variance and earn steadier rewards, collaborate in pooling strategies where they jointly mine for Bitcoins. Whenever some pool participant is successful, the earned rewards are appropriately split among all pool participants. Currently a dozen of different pooling strategies (i.e., methods for distributing the rewards) are in use for Bitcoin mining. We here propose a formal model of utility and social...
Topics: Computer Science and Game Theory, Computing Research Repository
Source: http://arxiv.org/abs/1703.03846
Arxiv.org
by Evgeny Feigin; Syu Kato; Ievgen Makedonskyi
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We study the nonsymmetric Macdonald polynomials specialized at infinity from various points of view. First, we define a family of modules of the Iwahori algebra whose characters are equal to the nonsymmetric Macdonald polynomials specialized at infinity. Second, we show that these modules are isomorphic to the dual spaces of sections of certain sheaves on the semi-infinite Schubert varieties. Third, we prove that the global versions of these modules are homologically dual to the level one...
Topics: Algebraic Geometry, Combinatorics, Representation Theory, Mathematics
Source: http://arxiv.org/abs/1703.04108
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A new method is proposed to reconstruct the neutrinos in the $e^+e^-\to Zh$ process followed by the $h\to\tau\tau$ decay. With the help of a refined Higgs momentum reconstruction from the recoiling system and the impact parameters, high precision in the determination of the momentum of neutrinos can be achieved. The prospect of measuring the Higgs CP mixing angle with the $h\to\tau\tau$ decay at future $e^+e^-$ colliders is studied with the new method. The analysis is based on a detailed...
Topic: High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.04855
Arxiv.org
by Ben Goertzel
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"Cognitive synergy" refers to a dynamic in which multiple cognitive processes, cooperating to control the same cognitive system, assist each other in overcoming bottlenecks encountered during their internal processing. Cognitive synergy has been posited as a key feature of real-world general intelligence, and has been used explicitly in the design of the OpenCog cognitive architecture. Here category theory and related concepts are used to give a formalization of the cognitive synergy...
Topics: Artificial Intelligence, Computing Research Repository
Source: http://arxiv.org/abs/1703.04361
Arxiv.org
by Tharindu Fernando; Simon Denman; Aaron McFadyen; Sridha Sridharan; Clinton Fookes
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In the domain of sequence modelling, Recurrent Neural Networks (RNN) have been capable of achieving impressive results in a variety of application areas including visual question answering, part-of-speech tagging and machine translation. However this success in modelling short term dependencies has not successfully transitioned to application areas such as trajectory prediction, which require capturing both short term and long term relationships. In this paper, we propose a Tree Memory Network...
Topics: Learning, Neural and Evolutionary Computing, Computing Research Repository, Computer Vision and...
Source: http://arxiv.org/abs/1703.04706
Arxiv.org
by Archana Tankasala; Joseph Salfi; Juanita Bocquel; Benoit Voisin; Muhammad Usman; Gerhard Klimeck; Michelle Y. Simmons; Lloyd C. L. Hollenberg; Sven Rogge; Rajib Rahman
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Two-electron states bound to donors in silicon are important for both two qubit gates and spin readout. We present a full configuration interaction technique in the atomistic tight-binding basis to capture multi-electron exchange and correlation effects taking into account the full bandstructure of silicon and the atomic scale granularity of a nanoscale device. Excited $s$-like states of $A_1$-symmetry are found to strongly influence the charging energy of a negative donor centre. We apply the...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1703.04175
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by Anshumali Shrivastava
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Minwise hashing is a fundamental and one of the most successful hashing algorithm in the literature. Recent advances based on the idea of densification~\cite{Proc:OneHashLSH_ICML14,Proc:Shrivastava_UAI14} have shown that it is possible to compute $k$ minwise hashes, of a vector with $d$ nonzeros, in mere $(d + k)$ computations, a significant improvement over the classical $O(dk)$. These advances have led to an algorithmic improvement in the query complexity of traditional indexing algorithms...
Topics: Learning, Data Structures and Algorithms, Computing Research Repository
Source: http://arxiv.org/abs/1703.04664
Arxiv.org
by G. M. Dilshan P. Godaliyadda; Dong Hye Ye; Michael D. Uchic; Michael A. Groeber; Gregery T. Buzzard; Charles A. Bouman
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Sparse sampling schemes have the potential to dramatically reduce image acquisition time while simultaneously reducing radiation damage to samples. However, for a sparse sampling scheme to be useful it is important that we are able to reconstruct the underlying object with sufficient clarity using the sparse measurements. In dynamic sampling, each new measurement location is selected based on information obtained from previous measurements. Therefore, dynamic sampling schemes have the potential...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1703.04653
Arxiv.org
by Yongqin Xian; Bernt Schiele; Zeynep Akata
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Due to the importance of zero-shot learning, the number of proposed approaches has increased steadily recently. We argue that it is time to take a step back and to analyze the status quo of the area. The purpose of this paper is three-fold. First, given the fact that there is no agreed upon zero-shot learning benchmark, we first define a new benchmark by unifying both the evaluation protocols and data splits. This is an important contribution as published results are often not comparable and...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1703.04394
Arxiv.org
by Dimitri Ara; Georges Maltsiniotis
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The aim of this paper is to prove a generalization of the famous Theorem A of Quillen for strict $\infty$-categories. This result is central to the homotopy theory of strict $\infty$-categories developed by the authors. The proof presented here is of a simplicial nature and uses Steiner's theory of augmented directed complexes. In a subsequent paper, we will prove the same result by purely $\infty$-categorical methods.
Topics: Algebraic Topology, Category Theory, Mathematics
Source: http://arxiv.org/abs/1703.04689
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We consider the behavior of a collective variable in a complex system formed by a finite number of interacting subunits. Each of them is characterized by a degree of freedom with an intrinsic nonlinear bistable stochastic dynamics. The lack of ergodicity of the collective variable requires the consideration of a feedback mechanism of the collective behavior on the individual dynamics. We explore numerically this issue within the context of two simple finite models with a feedback mechanism of...
Topics: Statistical Mechanics, Condensed Matter
Source: http://arxiv.org/abs/1703.05110
Arxiv.org
by Bipasha Chakraborty; C. T. H. Davies; G. C. Donald; J. Koponen; G. P. Lepage
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We compare correlators for pseudoscalar and vector mesons made from valence strange quarks using the clover quark and highly improved staggered quark (HISQ) formalisms in full lattice QCD. We use fully nonperturbative methods to normalise vector and axial vector current operators made from HISQ quarks, clover quarks and from combining HISQ and clover fields. This allows us to test expectations for the renormalisation factors based on perturbative QCD, with implications for the error budget of...
Topics: High Energy Physics - Lattice, High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.05552
Arxiv.org
by Maxence Cassier; Patrick Joly; Maryna Kachanovska
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In this work, we investigate mathematical models for electromagnetic wave propagation in dispersive isotropic media. We emphasize the link between physical requirements and mathematical properties of the models. A particular attention is devoted to the notion of non-dissipativity and passivity. We consider successively the case of so-called local media and general passive media. The models are studied through energy techniques, spectral theory and dispersion analysis of plane waves. For making...
Topics: Mathematical Physics, Analysis of PDEs, Numerical Analysis, Mathematics
Source: http://arxiv.org/abs/1703.05178
Arxiv.org
by Fabio Anzà; Goffredo Chirco
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We consider a closed region $R$ of 3d quantum space modeled by $SU(2)$ spin-networks. Using the concentration of measure phenomenon we prove that, whenever the ratio between the boundary $\partial R$ and the bulk edges of the graph overcomes a finite threshold, the state of the boundary is always thermal, with an entropy proportional to its area. The emergence of a thermal state of the boundary can be traced back to a large amount of entanglement between boundary and bulk degrees of freedom....
Topics: General Relativity and Quantum Cosmology, High Energy Physics - Theory, Quantum Physics
Source: http://arxiv.org/abs/1703.05241
Arxiv.org
by Elitza Hristova; Ivan Penkov
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Let $G$ be a locally semisimple ind-group, $P$ be a parabolic subgroup, and $E$ be a finite-dimensional $P$-module. We show that, under a certain condition on $E$, the nonzero cohomologies of the homogeneous vector bundle $\mathcal{O}_{G/P}(E^*)$ on $G/P$ induced by the dual $P$-module $E^*$ decompose as direct sums of cohomologies of bundles of the form $\mathcal{O}_{G/P}(R)$ for (some) simple constituents $R$ of $E^*$. In the finite-dimensional case, this result is a consequence of the...
Topics: Representation Theory, Mathematics
Source: http://arxiv.org/abs/1703.05086
Arxiv.org
by Jin Qi; Miao Le; Chunming Li; Ping Zhou
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With a large influx of dermoscopy images and a growing shortage of dermatologists, automatic dermoscopic image analysis plays an essential role in skin cancer diagnosis. In this paper, a new deep fully convolutional neural network (FCNN) is proposed to automatically segment melanoma out of skin images by end-to-end learning with only pixels and labels as inputs. Our proposed FCNN is capable of using both local and global information to segment melanoma by adopting skipping layers. The public...
Topics: Computing Research Repository, Computer Vision and Pattern Recognition
Source: http://arxiv.org/abs/1703.05467
Arxiv.org
by Erwin Quiring; Daniel Arp; Konrad Rieck
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Machine learning is increasingly used in security-critical applications, such as autonomous driving, face recognition and malware detection. Most learning methods, however, have not been designed with security in mind and thus are vulnerable to different types of attacks. This problem has motivated the research field of adversarial machine learning that is concerned with attacking and defending learning methods. Concurrently, a different line of research has tackled a very similar problem: In...
Topics: Learning, Cryptography and Security, Computing Research Repository
Source: http://arxiv.org/abs/1703.05561
Arxiv.org
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This is a hands-on introduction to Generalised Additive Mixed Models (GAMMs) in the context of linguistics with a particular focus on dynamic speech analysis (e.g. formant contours, pitch tracks, diachronic change, etc.). The main goal is to explain some of the main ideas underlying GAMMs, and to provide a practical guide to frequentist significance testing using these models. The introduction covers a range of topics including basis functions, the smoothing penalty, random smooths, difference...
Topics: Statistics, Applications
Source: http://arxiv.org/abs/1703.05339
Arxiv.org
by Tom De Medts; Yoav Segev; Richard M. Weiss
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The fixed point building of a polarity of a Moufang quadrangle of type $F_4$ is a Moufang set, as is the fixed point building of a semi-linear automorphism of order $2$ of a Moufang octagon that stabilizes at least two panels of one type but none of the other. We show that these two classes of Moufang sets are, in fact, the same, that each member of this class can be constructed as the fixed point building of a group of order $4$ acting on a building of type $F_4$ and that the group generated...
Topics: Group Theory, Mathematics
Source: http://arxiv.org/abs/1703.05026
Arxiv.org
by Mariano Cadoni; Edgardo Franzin; Matteo Tuveri
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We define and compute the (analogue) shear viscosity to entropy density ratio $\tilde\eta/s$ for the QFTs dual to spherical AdS black holes both in Einstein and Gauss-Bonnet gravity in five spacetime dimensions. Although in this case, owing to the lack of translational symmetry of the background, $\tilde\eta$ has not the usual hydrodynamic meaning, it can be still interpreted as the rate of entropy production due to a strain. At large and small temperatures, we find that $\tilde\eta/s$ is a...
Topics: High Energy Physics - Theory, General Relativity and Quantum Cosmology
Source: http://arxiv.org/abs/1703.05162
Arxiv.org
by F. Onori; F. Ricci; F. La Franca; S. Bianchi; A. Bongiorno; M. Brusa; F. Fiore; R. Maiolino; A. Marconi; E. Sani; C. Vignali
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We report the virial measurements of the BH mass of a sample of 17 type 2 AGN, drawn from the Swift/BAT 70-month 14-195 keV hard X-ray catalogue, where a faint BLR component has been measured via deep NIR (0.8-2.5 $\mu$m) spectroscopy. We compared the type 2 AGN with a control sample of 33 type 1 AGN. We find that the type 2 AGN BH masses span the 5$
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1703.05167
Arxiv.org
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Hochst\"attler, Kirsch, and Warzel showed that the semicircle law holds for generalized Curie-Weiss matrix ensembles at or above the critical temperature. We extend their result to the case of subcritical temperatures for which the correlations between the matrix entries are stronger. Nevertheless, one may use the concept of approximately uncorrelated ensembles that was first introduced in the paper mentioned above. In order to do so one needs to remove the average magnetization of the...
Topics: Probability, Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1703.05183
Arxiv.org
by Luca Becchetti; Andrea Clementi; Emanuele Natale; Francesco Pasquale; Prasad Raghavendra; Luca Trevisan
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We present a simple distributed algorithm that, given a regular graph consisting of two communities (or clusters), each inducing a good expander and such that the cut between them has sparsity $1/\mbox{polylog}(n)$, recovers the two communities. More precisely, upon running the protocol, every node assigns itself a binary label of $m = \Theta(\log n)$ bits, so that with high probability, for all but a small number of outliers, nodes within the same community are assigned labels with Hamming...
Topics: Distributed, Parallel, and Cluster Computing, Computing Research Repository, Social and Information...
Source: http://arxiv.org/abs/1703.05045
Arxiv.org
by S. Abreu; F. Febres Cordero; H. Ita; M. Jaquier; B. Page; M. Zeng
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We present the first numerical computation of two-loop amplitudes based on the unitarity method. As a proof of principle, we compute the four-gluon process. We discuss the new method, analyze its numerical properties and apply it to reconstruct the analytic form of the amplitudes. The numerical method is universal, and can be automated to provide multi-scale two-loop computations for phenomenologically relevant signatures at hadron colliders.
Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1703.05273
Arxiv.org
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This paper studies a recently proposed continuous-time distributed self-appraisal model with time-varying interactions among a network of $n$ individuals which are characterized by a sequence of time-varying relative interaction matrices. The model describes the evolution of the social-confidence levels of the individuals via a reflected appraisal mechanism in real time. We first show by example that when the relative interaction matrices are stochastic (not doubly stochastic), the...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1703.05444
Arxiv.org
by Mauro Stefanon; Haojing Yan; Bahram Mobasher; Guillermo Barro; Jennifer L. Donley; Adriano Fontana; Shoubaneh Hemmati; Anton M. Koekemoer; BoMee Lee; Seong-Kook Lee; Hooshang Nayyeri; Michael Peth; Janine Pforr; Mara Salvato; Tommy Wiklind; Stijn Wuyts; Matthew L. N. Ashby; Marco Castellano; Christopher J. Conselice; Michael C. Cooper; Asantha R. Cooray; Timothy Dolch; Henry Ferguson; Audrey Galametz; Mauro Giavalisco; Yicheng Guo; Steven P. Willner; Mark E. Dickinson; Sandra M. Faber; Giovanni...
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We present a 0.4-8$\mu$m multi-wavelength photometric catalog in the Extended Groth Strip (EGS) field. This catalog is built on the Hubble Space Telescope (HST) WFC3 and ACS data from the Cosmic Assembly Near-infrared Deep Extragalactic Legacy Survey (CANDELS), and it incorporates the existing HST data from the All-wavelength Extended Groth strip International Survey (AEGIS) and the 3D-HST program. The catalog is based on detections in the F160W band reaching a depth of F160W=26.62 AB (90%...
Topics: Astrophysics of Galaxies, Astrophysics
Source: http://arxiv.org/abs/1703.05768
Arxiv.org
by Tomas Feder; Pavol Hell
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Correspondence homomorphisms are both a generalization of standard homomorphisms and a generalization of correspondence colourings. For a fixed target graph $H$, the problem is to decide whether an input graph $G$, with each edge labeled by a pair of permutations of $V(H)$, admits a homomorphism to $H$ 'corresponding' to the labels, in a sense explained below. We classify the complexity of this problem as a function of the fixed graph $H$. It turns out that there is dichotomy -- each of the...
Topics: Combinatorics, Mathematics, Computing Research Repository, Computational Complexity, Discrete...
Source: http://arxiv.org/abs/1703.05881
Arxiv.org
by Soulaimane Berkane; Abdelhamid Tayebi
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We propose an attitude and gyro-bias estimation scheme for accelerated rigid body systems using an inertial measurement unit (IMU) and a global positioning system (GPS). The proposed scheme allows to obtain attitude estimates directly on the Special Orthogonal group $SO(3)$ while estimating the gyro bias and the unknown apparent acceleration of the vehicle. We prove semi-global exponential stability of the estimation errors. Furthermore, a new switching technique for the attitude state is...
Topics: Optimization and Control, Mathematics
Source: http://arxiv.org/abs/1703.05696
Arxiv.org
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The problem of minimizing convex functionals of probability distributions is solved under the assumption that the density of every distribution is bounded from above and below. First, a system of sufficient and necessary first order optimality conditions, which characterize global minima as solutions of a fixed-point equation, is derived. Based on these conditions, two algorithms are proposed that iteratively solve the fixed-point equation via a block coordinate descent strategy. While the...
Topics: Information Theory, Computing Research Repository, Mathematics
Source: http://arxiv.org/abs/1703.06128
Arxiv.org
by Leandro Cagliero; Luis Gutierrez; Fernando Szechtman
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Given an algebraically closed field $F$ of characteristic 0 and an $F$-vector space $V$, let $L(V)=V\oplus\Lambda^2(V)$ denote the free 2-step nilpotent Lie algebra associated to $V$. In this paper, we classify all uniserial representations of the solvable Lie algebra $\mathfrak g=\langle x\rangle\ltimes L(V)$, where $x$ acts on $V$ via an arbitrary invertible Jordan block.
Topics: Representation Theory, Mathematics
Source: http://arxiv.org/abs/1703.06214