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Results for "Phil Woodland"
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The fundamentals of Spectral Tetris frame constructionsApr 08 2014The landmark paper "Constructing tight fusion frames" by Casazza, Fickus, Mixon, Wang and Zhou introduced a fundamental method for constructing unit norm tight frames, which they called Spectral Tetris. This was a significant advancement for finite frame ... More Phase retrievalAug 26 2015We answer a number of open problems concerning phase retrieval and phase retrieval by projections. In particular, one main theorem classifies phase retrieval by projections via collections of sequences of vectors allowing norm retrieval. Another key result ... More Phase Retrieval By ProjectionsMay 27 2013Jul 18 2013The problem of recovering a vector from the absolute values of its inner products against a family of measurement vectors has been well studied in mathematics and engineering. A generalization of this phase retrieval problem also exists in engineering: ... More Degree 4 coverings of elliptic curves by genus 2 curvesJan 19 2013Genus two curves covering elliptic curves have been the object of study of many articles. For a fixed degree $n$ the subloci of the moduli space $\mathcal M_2$ of curves having a degree $n$ elliptic subcover has been computed for $n=3, 5$ and discussed ... More Fermionic Vector Model Solitons in the Large N LimitMay 12 2005May 31 2005The large N limit of fermionic vectors models is studied using bilocal variables, in the framework of a collective field theory approach. The large N configuration is determined completely using only classical solutions of the model. Further, the Bethe-Salpeter ... More NP in BQP with NonlinearityApr 09 1998Apr 27 1998If one modifies the laws of Quantum Mechanics to allow nonlinear evolution of quantum states, this paper shows that NP-complete problems would be efficiently solvable in polynomial time with bounded probability (NP in BQP). With that (admittedly very ... More Thermodynamic Stability of NanobubblesMar 15 2015The observed stability of nanobubbles contradicts the well-known result in classical nucleation theory, that the critical radius is both microscopic and thermodynamically unstable. Here nanoscopic stability is shown to be the combined result of two non-classical ... More Quantum Statistical Mechanics. II. Stochastic Schrodinger EquationDec 18 2013Jun 02 2014The stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the density matrix, ... More Design of Chemotaxis Devices Using Nano-MotorsSep 07 2012Several designs for micro-devices for chemotaxis based on nano-motors are proposed. The nano- or micro-motors are the conventional Janus rods or spheres that are powered by the catalytic reaction of fuels such as hydrogen peroxide. It is shown how these ... More Direct Measurement of the Surface Tension of NanobubblesMay 09 2015It is shown that when the nanobubble contact line is pinned to a penetrating tip the interface behaves like a Hookean spring with spring constant proportional to the nanobubble surface tension. Atomic force microscope (AFM) data for several nanobubbles ... More Thermodynamics for Non-equilibrium Pattern FormationFeb 10 2011Sep 10 2012The second entropy theory for non-equilibrium thermodynamics is used to show that the optimum structure or pattern of a time-dependent system corresponds to the maximum entropy. A formula for the total entropy of convective heat flow is derived. The Navier-Stokes ... More Quantum Carry-Save ArithmeticAug 27 1998Aug 30 1998This paper shows how to design efficient arithmetic elements out of quantum gates using "carry-save" techniques borrowed from classical computer design. This allows bit-parallel evaluation of all the arithmetic elements required for Shor's algorithm, ... More Integer FramesJul 16 2013Oct 23 2015Finite frame theory has become a powerful tool for many applications of mathematics. In this paper we introduce a new area of research in frame theory: Integer frames. These are frames having all integer coordinates with respect to a fixed orthonormal ... More Phase retrieval and norm retrievalSep 29 2014Phase retrieval has become a very active area of research. We will classify when phase retrieval by Parseval frames passes to the Naimark complement and when phase retrieval by projections passes to the orthogonal complements. We introduce a new concept ... More Stochastic Collapsed Variational Inference for Sequential DataDec 05 2015Stochastic variational inference for collapsed models has recently been successfully applied to large scale topic modelling. In this paper, we propose a stochastic collapsed variational inference algorithm in the sequential data setting. Our algorithm ... More Thermal Tides in Fluid Extrasolar PlanetsDec 11 2009Asynchronous rotation and orbital eccentricity lead to time-dependent irradiation of the close-in gas giant exoplanets -- the hot Jupiters. This time-dependent surface heating gives rise to fluid motions which propagate throughout the planet. We investigate ... More A Review of Procedure to Evolve Quantum ProceduresAug 24 2007There exist quantum algorithms that are more efficient than their classical counterparts; such algorithms were invented by Shor in 1994 and then Grover in 1996. A lack of invention since Grover's algorithm has been commonly attributed to the non-intuitive ... More Is String Theory in Knots?Oct 09 1995It is sometimes said that there may be a unique algebraic theory independent of space-time topologies which underlies superstring and p-brane theories. In this paper, I construct some algebras using knot relations within the framework of event-symmetric ... More Boundaries of univalent Baker domainsNov 25 2014Let $f$ be a transcendental entire function and let $U$ be a univalent Baker domain of $f$. We prove a new result about the boundary behaviour of conformal maps and use this to show that the non-escaping boundary points of $U$ form a set of harmonic measure ... More Combined Reduced-Rank TransformApr 10 2006We propose and justify a new approach to constructing optimal nonlinear transforms of random vectors. We show that the proposed transform improves such characteristics of rank-reduced transforms as compression ratio, accuracy of decompression and reduces ... More Event-Symmetric PhysicsMay 16 1995I examine various aspects of event-symmetric physics such as phase changes, symmetry breaking and duality by studying a number of simple toy-models. The Degrees of Freedom of Compute-and-ForwardJan 11 2011Apr 20 2012We analyze the asymptotic behavior of compute-and-forward relay networks in the regime of high signal-to-noise ratios. We consider a section of such a network consisting of K transmitters and K relays. The aim of the relays is to reliably decode an invertible ... More The Small Scale Structure of Space-Time: A Bibliographical ReviewJun 26 1995Jan 26 1996This essay is a tour around many of the lesser known pregeometric models of physics, as well as the mainstream approaches to quantum gravity, in search of common themes which may provide a glimpse of the final theory which must lie behind them. Symmetry in the Topological Phase of String TheoryApr 28 1995Sep 22 1995I present arguments to the affect that the topological phase of string theory must be event-symmetric. This motivates a search for a universal string group for discrete strings in event-symmetric space-time which unifies space-time symmetry with internal ... More Symmetric powers of elliptic curve L-functionsApr 05 2006Apr 17 2006The conjectures of Deligne, Be\u\i linson, and Bloch-Kato assert that there should be relations between the arithmetic of algebro-geometric objects and the special values of their $L$-functions. We make a numerical study for symmetric power $L$-functions ... More Pragmatic Neural Language Modelling in Machine TranslationDec 22 2014Mar 20 2015This paper presents an in-depth investigation on integrating neural language models in translation systems. Scaling neural language models is a difficult task, but crucial for real-world applications. This paper evaluates the impact on end-to-end MT quality ... More Thermal Tides in Short Period ExoplanetsJan 07 2009Time-dependent insolation in a planetary atmosphere induces a mass quadrupole upon which the stellar tidal acceleration can exert a force. This "thermal tide" force can give rise to secular torques on the planet and orbit as well as radial forces causing ... More A Search for Wolf-Rayet Stars in the Small Magellanic CloudOct 20 2000Nov 27 2000We conducted an extensive search for Wolf-Rayet stars (W-Rs) in the SMC, using the same interference filter imaging techniques that have proved successful in finding W-Rs in more distant members of the Local Group. Photometry of some 1.6 million stellar ... More String Partons and Multiple QuantisationSep 16 1996I consider an algebraic construction of creation and annihilation operators for superstring and p-brane parton models. The result can be interpreted as a realisation of multiple quantisation and suggests a relationship between quantisation and dimension. ... More A Hodge decomposition for the complex of injective wordsNov 16 2003Reiner and Webb compute the $S_n$-module structure for the complex of injective words in [RW]. This paper refines their formula by providing a Hodge type decomposition. Along the way, this paper proves that the simplicial boundary map interacts in a nice ... More Modelling the Lexicon in Unsupervised Part of Speech InductionFeb 26 2014Automatically inducing the syntactic part-of-speech categories for words in text is a fundamental task in Computational Linguistics. While the performance of unsupervised tagging models has been slowly improving, current state-of-the-art systems make ... More Cues and control in Expert-Client DialoguesApr 05 1995We conducted an empirical analysis into the relation between control and discourse structure. We applied control criteria to four dialogues and identified 3 levels of discourse structure. We investigated the mechanism for changing control between these ... More Higgsless W Unitarity from Decoupling DeconstructionJun 25 2004Aug 11 2004Recently there has been interest in electroweak models on a five dimensional interval that break the symmetry without a higgs boson. By warping the metric of the interval it may be possible to avoid experimental bounds on extra W bosons and delta rho. ... More Cartan's topological structureJan 30 2001A system of differential forms will establish a topology and a topological structure on a domain of independent variables such that is possible to determine which maps or processes acting on the system are continuous. Perhaps the most simple topology ... More Multilingual Models for Compositional Distributed SemanticsApr 17 2014We present a novel technique for learning semantic representations, which extends the distributional hypothesis to multilingual data and joint-space embeddings. Our models leverage parallel data and learn to strongly align the embeddings of semantically ... More Prometheus Induced Vorticity In Saturns F RingSep 05 2016Saturns rings are known to show remarkable real time variability in their structure. Many of which can be associated to interactions with nearby moons and moonlets. Possibly the most interesting and dynamic place in the rings, probably in the whole Solar ... More Multilingual Distributed Representations without Word AlignmentDec 20 2013Mar 20 2014Distributed representations of meaning are a natural way to encode covariance relationships between words and phrases in NLP. By overcoming data sparsity problems, as well as providing information about semantic relatedness which is not available in discrete ... More Vacuum polarization for lukewarm black holesAug 28 2007Dec 20 2007We compute the renormalized expectation value of the square of a quantum scalar field on a Reissner-Nordstrom-de Sitter black hole in which the temperatures of the event and cosmological horizons are equal (`lukewarm' black hole). Our numerical calculations ... More Dynamical resonance locking in tidally interacting binary systemsDec 17 2013Oct 25 2014We examine the dynamics of resonance locking in detached, tidally interacting binary systems. In a resonance lock, a given stellar or planetary mode is trapped in a highly resonant state for an extended period of time, during which the spin and orbital ... More An EPICS to TINE TranslatorNov 09 2001Accelerator control at DESY has in the past been hampered by the 'many-control-systems' syndrome, where different subsystems were controlled by completely different means offering no possibility of intercommunication. Today, practically all subsystems ... More The spectral-timing properties of upper and lower kHz QPOsFeb 09 2015Aug 25 2015Soft lags from the emission of the lower kilohertz quasi-periodic oscillations (kHz QPOs) of neutron star low mass X-ray binaries have been reported from 4U1608-522 and 4U1636-536. Those lags hold prospects for constraining the origin of the QPO emission. ... More Why Does Flow Director Cause Packet Reordering?Jun 02 2011Intel Ethernet Flow Director is an advanced network interface card (NIC) technology. It provides the benefits of parallel receive processing in multiprocessing environments and can automatically steer incoming network data to the same core on which its ... More A Transport-Friendly NIC for Multicore/Multiprocessor SystemsJun 02 2011Receive side scaling (RSS) is a network interface card (NIC) technology. It provides the benefits of parallel receive processing in multiprocessing environments. However, existing RSS-enabled NICs lack a critical data steering mechanism that would automatically ... More