Results for "Mark Sandler"

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Text-based LSTM networks for Automatic Music CompositionApr 18 2016In this paper, we introduce new methods and discuss results of text-based LSTM (Long Short-Term Memory) networks for automatic music composition. The proposed network is designed to learn relationships within text documents that represent chord progressions ... More
Convolutional Recurrent Neural Networks for Music ClassificationSep 14 2016We introduce a convolutional recurrent neural network (CRNN) for music tagging. CRNNs take advantage of convolutional neural networks (CNNs) for local feature extraction and recurrent neural networks for temporal summarisation of the extracted features. ... More
Inverting face embeddings with convolutional neural networksJun 14 2016Jul 07 2016Deep neural networks have dramatically advanced the state of the art for many areas of machine learning. Recently they have been shown to have a remarkable ability to generate highly complex visual artifacts such as images and text rather than simply ... More
MobileNetV2: Inverted Residuals and Linear BottlenecksJan 13 2018Mar 21 2019In this paper we describe a new mobile architecture, MobileNetV2, that improves the state of the art performance of mobile models on multiple tasks and benchmarks as well as across a spectrum of different model sizes. We also describe efficient ways of ... More
Piano Transcription in the Studio Using an Extensible Alternating Directions FrameworkJun 02 2016Jul 27 2016Given a musical audio recording, the goal of automatic music transcription is to determine a score-like representation of the piece underlying the recording. Despite significant interest within the research community, several studies have reported on ... More
Telling Two Distributions Apart: a Tight CharacterizationOct 14 2011We consider the problem of distinguishing between two arbitrary black-box distributions defined over the domain [n], given access to $s$ samples from both. It is known that in the worst case O(n^{2/3}) samples is both necessary and sufficient, provided ... More
Structured Dropout for Weak Label and Multi-Instance Learning and Its Application to Score-Informed Source SeparationSep 15 2016Many success stories involving deep neural networks are instances of supervised learning, where available labels power gradient-based learning methods. Creating such labels, however, can be expensive and thus there is increasing interest in weak labels ... More
Visibility graphs for robust harmonic similarity measures between audio spectraMar 05 2019Mar 11 2019Graph theory is emerging as a new source of tools for time series analysis. One promising method is to transform a signal into its visibility graph, a representation which captures many interesting aspects of the signal. Here we introduce the visibility ... More
Single parameter scaling of one-dimensional systems with real-space long-range correlated disorderJun 15 2012Sep 26 2012Advances in material growth methods have renewed the interest in localization of one-dimensional systems in the presence of scale-free long-range correlated disorder potentials. We analyze the validity of single parameter scaling for the \beta-function ... More
Towards Music Captioning: Generating Music Playlist DescriptionsAug 17 2016Descriptions are often provided along with recommendations to help users' discovery. Recommending automatically generated music playlists (e.g. personalised playlists) introduces the problem of generating descriptions. In this paper, we propose a method ... More
Frugal Streaming for Estimating Quantiles:One (or two) memory sufficesJul 04 2014Modern applications require processing streams of data for estimating statistical quantities such as quantiles with small amount of memory. In many such applications, in fact, one needs to compute such statistical quantities for each of a large number ... More
Visibility graphs for robust harmonic similarity measures between audio spectraMar 05 2019Graph theory is emerging as a new source of tools for time series analysis. One promising method is to transform a signal into its visibility graph, a representation which captures many interesting aspects of the signal. Here we introduce the visibility ... More
Understanding Music PlaylistsNov 22 2015As music streaming services dominate the music industry, the playlist is becoming an increasingly crucial element of music consumption. Con- sequently, the music recommendation problem is often casted as a playlist generation prob- lem. Better understanding ... More
CycleGAN, a Master of SteganographyDec 08 2017Dec 16 2017CycleGAN (Zhu et al. 2017) is one recent successful approach to learn a transformation between two image distributions. In a series of experiments, we demonstrate an intriguing property of the model: CycleGAN learns to "hide" information about a source ... More
Explaining Deep Convolutional Neural Networks on Music ClassificationJul 08 2016Deep convolutional neural networks (CNNs) have been actively adopted in the field of music information retrieval, e.g. genre classification, mood detection, and chord recognition. However, the process of learning and prediction is little understood, particularly ... More
Towards Playlist Generation Algorithms Using RNNs Trained on Within-Track TransitionsJun 07 2016We introduce a novel playlist generation algorithm that focuses on the quality of transitions using a recurrent neural network (RNN). The proposed model assumes that optimal transitions between tracks can be modelled and predicted by internal transitions ... More
Automatic tagging using deep convolutional neural networksJun 01 2016We present a content-based automatic music tagging algorithm using fully convolutional neural networks (FCNs). We evaluate different architectures consisting of 2D convolutional layers and subsampling layers only. In the experiments, we measure the AUC-ROC ... More
Anticorrelations from power-law spectral disorder and conditions for an Anderson transitionFeb 21 2013We resolve an apparent contradiction between numeric and analytic results for one-dimensional disordered systems with power-law spectral correlations. The conflict arises when considering rigorous results that constrain the set of correlation functions ... More
Towards Music Captioning: Generating Music Playlist DescriptionsAug 17 2016Jan 15 2017Descriptions are often provided along with recommendations to help users' discovery. Recommending automatically generated music playlists (e.g. personalised playlists) introduces the problem of generating descriptions. In this paper, we propose a method ... More
A Tutorial on Deep Learning for Music Information RetrievalSep 13 2017May 03 2018Following their success in Computer Vision and other areas, deep learning techniques have recently become widely adopted in Music Information Retrieval (MIR) research. However, the majority of works aim to adopt and assess methods that have been shown ... More
Similarity measures for vocal-based drum sample retrieval using deep convolutional auto-encodersFeb 14 2018The expressive nature of the voice provides a powerful medium for communicating sonic ideas, motivating recent research on methods for query by vocalisation. Meanwhile, deep learning methods have demonstrated state-of-the-art results for matching vocal ... More
A Comparison of Audio Signal Preprocessing Methods for Deep Neural Networks on Music TaggingSep 06 2017Jun 03 2018In this paper, we empirically investigate the effect of audio preprocessing on music tagging with deep neural networks. We perform comprehensive experiments involving audio preprocessing using different time-frequency representations, logarithmic magnitude ... More
Transfer learning for music classification and regression tasksMar 27 2017Sep 13 2017In this paper, we present a transfer learning approach for music classification and regression tasks. We propose to use a pre-trained convnet feature, a concatenated feature vector using the activations of feature maps of multiple layers in a trained ... More
K for the Price of 1: Parameter-efficient Multi-task and Transfer LearningOct 25 2018Feb 24 2019We introduce a novel method that enables parameter-efficient transfer and multi-task learning with deep neural networks. The basic approach is to learn a model patch - a small set of parameters - that will specialize to each task, instead of fine-tuning ... More
The Effects of Noisy Labels on Deep Convolutional Neural Networks for Music TaggingJun 07 2017Nov 14 2017Deep neural networks (DNN) have been successfully applied to music classification including music tagging. However, there are several open questions regarding the training, evaluation, and analysis of DNNs. In this article, we investigate specific aspects ... More
Interference Reduction in Music Recordings Combining Kernel Additive Modelling and Non-Negative Matrix FactorizationSep 20 2016When recording music in a live or studio scenario, unexpected sound events often lead to interferences in the signal. For non-stationary interferences, sound source separation techniques can be used to reduce the interference level in the recording. In ... More
Convolutional Recurrent Neural Networks for Music ClassificationSep 14 2016Nov 03 2016We introduce a convolutional recurrent neural network (CRNN) for music tagging. CRNNs take advantage of convolutional neural networks (CNNs) for local feature extraction and recurrent neural networks for temporal summarisation of the extracted features. ... More
K For The Price Of 1: Parameter Efficient Multi-task And Transfer LearningOct 25 2018We introduce a novel method that enables parameter-efficient transfer and multitask learning. The basic approach is to allow a model patch - a small set of parameters - to specialize to each task, instead of fine-tuning the last layer or the entire network. ... More
Convolutional Recurrent Neural Networks for Music ClassificationSep 14 2016Dec 21 2016We introduce a convolutional recurrent neural network (CRNN) for music tagging. CRNNs take advantage of convolutional neural networks (CNNs) for local feature extraction and recurrent neural networks for temporal summarisation of the extracted features. ... More
MobileNetV2: Inverted Residuals and Linear BottlenecksJan 13 2018Apr 02 2018In this paper we describe a new mobile architecture, MobileNetV2, that improves the state of the art performance of mobile models on multiple tasks and benchmarks as well as across a spectrum of different model sizes. We also describe efficient ways of ... More
Efficient On-line Computation of Visibility GraphsMay 08 2019A visibility algorithm maps time series into complex networks following a simple criterion. The resulting visibility graph has recently proven to be a powerful tool for time series analysis. However its straightforward computation is time-consuming and ... More
MnasNet: Platform-Aware Neural Architecture Search for MobileJul 31 2018Apr 18 2019Designing convolutional neural networks (CNN) for mobile devices is challenging because mobile models need to be small and fast, yet still accurate. Although significant efforts have been dedicated to design and improve mobile CNNs on all dimensions, ... More
NetAdapt: Platform-Aware Neural Network Adaptation for Mobile ApplicationsApr 09 2018Sep 28 2018This work proposes an algorithm, called NetAdapt, that automatically adapts a pre-trained deep neural network to a mobile platform given a resource budget. While many existing algorithms simplify networks based on the number of MACs or weights, optimizing ... More
Electron-electron and spin-orbit interactions in armchair graphene ribbonsOct 29 2007The effects of intrinsic spin-orbit and Coulomb interactions on low-energy properties of finite width graphene armchair ribbons are studied by means of a Dirac Hamiltonian. It is shown that metallic states subsist in the presence of intrinsic spin-orbit ... More
Designing Patient-Specific Optimal Neurostimulation Patterns for Seizure SuppressionJan 16 2018Neurostimulation is a promising therapy for abating epileptic seizures. However, it is extremely difficult to identify optimal stimulation patterns experimentally. In this study human recordings are used to develop a functional 24 neuron network statistical ... More
Rash spin-orbit interaction in graphene and graphene zigzag nano-ribbonsJan 01 2009May 08 2009We investigate the effects of Rashba spin-orbit interactions on the electronic band-structure and corresponding wave-functions of graphene. By exactly solving a tight-binding model Hamiltonian we obtain the expected splitting of the bands -due to the ... More
Local versus extended deformed graphene geometries for valley filteringJun 29 2018Jul 25 2018The existence of two-inequivalent valleys in the band structure of graphene has motivated the search of mechanisms that allow their separation and control for potential device applications. Among the several schemes proposed in the literature, strain-induced ... More
ParaPlan: A Tool for Parallel Reachability Analysis of Planar Polygonal Differential Inclusion SystemsSep 07 2017We present the ParaPlan tool which provides the reachability analysis of planar hybrid systems defined by differential inclusions (SPDI). It uses the parallelized and optimized version of the algorithm underlying the SPeeDI tool. The performance comparison ... More
Quantum spin Hall phase in neutral zigzag graphene ribbonsOct 11 2009We present a detailed description of the nature of the wavefunction and spin distribution of the zero energy modes of zigzag graphene ribbons (ZGRs) in the presence of the intrinsic spin_orbit (I-SO) interaction. These states characterize the quantum ... More
Fractional quantum Hall junctions and two-channel Kondo modelsSep 19 2000A mapping between fractional quantum Hall (FQH) junctions and the two-channel Kondo model is presented. We discuss in detail this relation for the particular case of a junction of a FQH state at $\nu = 1/3$ and a normal metal. We show that in the strong ... More
Bayesian Counterfactual Risk MinimizationJun 29 2018Oct 30 2018We present a Bayesian view of counterfactual risk minimization (CRM), also known as offline policy optimization from logged bandit feedback. Using PAC-Bayesian analysis, we derive a new generalization bound for the truncated IPS estimator. We apply the ... More
Enhanced Local Moment Formation in a Chiral Luttinger LiquidJul 11 1996We derive here a stability condition for a local moment in the presence of an interacting sea of conduction electrons. The conduction electrons are modeled as a Luttinger liquid in which chirality and spin are coupled. We show that an Anderson-U defect ... More
Graphene zigzag ribbons, square lattice models and quantum spin chainsOct 11 2009We present an extended study of finite-width zigzag graphene ribbons (ZGRs) based on a tight-binding model with hard-wall boundary conditions. We provide an exact analytic solution that clarifies the origin of the predicted width dependence on the conductance ... More
Quantum Wires and Waveguides Formed in Graphene by StrainMar 31 2018Confinement of electrons in graphene to make devices has proven to be a challenging task. Electrostatic methods fail because of Klein tunneling, while etching into nanoribbons requires extreme control of edge terminations, and bottom-up approaches are ... More
ad-Nilpotent positively-graded Borel module subalgebrasSep 18 2012Sep 20 2012In this paper, we study certain ad-nilpotent subalgebras contained in the non-zero graded portion of a simple Z_n-graded Lie algebra. These subalgebras respect the grading on the Lie algebra and are modules for a Borel subalgebra for the grade-zero Lie ... More
Searching for MobileNetV3May 06 2019We present the next generation of MobileNets based on a combination of complementary search techniques as well as a novel architecture design. MobileNetV3 is tuned to mobile phone CPUs through a combination of hardware aware network architecture search ... More
Searching for MobileNetV3May 06 2019May 14 2019We present the next generation of MobileNets based on a combination of complementary search techniques as well as a novel architecture design. MobileNetV3 is tuned to mobile phone CPUs through a combination of hardware aware network architecture search ... More
Linking interlayer twist angle to geometrical parameters of self-assembled folded graphene structuresApr 11 2019Thin adhesive films can be removed from substrates, torn, and folded in distinct geometries under external driving forces. In two-dimensional materials, however, these processes can be self-driven as shown in previous studies on folded twisted bilayer ... More
Interactions and Disorder in Multi-Channel Quantum WiresJan 22 1997Recent experiments have revealed that the temperature dependence of the conductance of quasi-ballistic quantum wires bears clear features of the Luttinger-liquid state. In this paper, the conductance of an N-channel quantum wire is calculated within the ... More
Unscreened Coulomb interactions and quantum spin Hall phase in neutral zigzag graphene ribbonsJun 26 2008Feb 17 2009A study of the effect of unscreened Coulomb interactions on the quantum spin Hall (QSH) phase of finite-width neutral zigzag graphene ribbons is presented. By solving a tight-binding Hamiltonian that includes the intrinsic spin-orbit interaction (I-SO), ... More
Correlated quantum percolation in the lowest Landau levelNov 20 2003Our understanding of localization in the integer quantum Hall effect is informed by a combination of semi-classical models and percolation theory. Motivated by the effect of correlations on classical percolation we study numerically electron localization ... More
The Cloudy UniverseJul 20 1999Modelling of Extreme Scattering Events suggests that the Galaxy's dark matter is an undetected population of cold, AU-sized, planetary-mass gas clouds. None of the direct observational constraints on this picture -- thermal/non-thermal emission, extinction ... More
High velocity gas from the Galactic dark haloNov 13 1998We present the germ of a new model for High Velocity Clouds, derived from the idea that the dark matter halo of our Galaxy is in the form of cold, planetary-mass gas clouds. In this picture HVCs arise as a result of disruptive collisions between dark ... More
Order-Revealing Encryption and the Hardness of Private LearningMay 03 2015An order-revealing encryption scheme gives a public procedure by which two ciphertexts can be compared to reveal the ordering of their underlying plaintexts. We show how to use order-revealing encryption to separate computationally efficient PAC learning ... More
Thermal stability of cold clouds in galaxy halosJul 02 1999Oct 14 1999We consider the thermal properties of cold, dense clouds of molecular hydrogen and atomic helium. For cloud masses below 10^-1.7 Msun, the internal pressure is sufficient to permit the existence of particles of solid or liquid hydrogen at temperatures ... More
From adiabatic to non-adiabatic pumping in graphene nanoribbonsMar 18 2012Non-equilibrium two-parameter pumping transport through graphene ribbons, attached to reservoirs is described. A tight-binding model is solved using Keldysh formalism, and the crossover between adiabatic and non-adiabatic regimes is studied. Pumped dc ... More
Kondo screening suppression by spin-orbit interaction in quantum dotsFeb 19 2009We study the transport properties of a quantum dot embedded in an Aharonov-Bohm ring in the presence of spin-orbit interactions. Using a numerical renormalization group analysis of the system in the Kondo regime, we find that the competition of Aharonov-Bohm ... More
RKKY interaction and intervalley processes in p-doped transition metal dichalcogenidesSep 26 2014We study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in p-doped transition metal dichalcogenides such as MoS$_2$ and WS$_2$. We consider magnetic impurities hybridized to the Mo d-orbitals characteristic of the valence bands. Using the Matsubara ... More
Quantum and classical localization in the lowest Landau levelApr 28 2003Spatial correlations of occupation probabilities, if their decay is not too fast, can change the critical exponents for classical percolation. From numerical studies of electron dynamics in the lowest Landau level (LLL) we demonstrate the quantum analog ... More
Interchain conductivity of coupled Luttinger liquids and organic conductorsJan 06 2000We reconsider the theory of dc and ac interchain conductivity in quasi-one dimensional systems. Our results are in good agreement with the measured c-axis optical conductivity of (TMTSF)_2{ClO}_4 and suggest that the c-axis dc-conductivity of (TMTSF)_2{PF}_6 ... More
Enhancement of the Kondo effect through Rashba spin-orbit interactionsMay 18 2011Jan 31 2012We analyze the physics of a one-orbital Anderson impurity model in a two-dimensional electron gas in the presence of Rashba spin-orbit (RSO) interactions in the Kondo regime. The spin SU(2) symmetry breaking results in an effective two-band electron gas ... More
Hybridization and anisotropy in the exchange interaction in 3D Dirac semimetalsNov 21 2015We study the Ruderman-Kittel-Kasuya-Yosida interaction in 3D Dirac semimetals. Using retarded Green's functions in real space, we obtain and analyze asymptotic expressions for the interaction, with magnetic impurities at different distances and relative ... More
Direct determination of the $^{138}$La $β$-decay $Q$ value using Penning trap mass spectrometryApr 26 2019Background: The understanding and description of forbidden decays provides interesting challenges for nuclear theory. These calculations could help to test underlying nuclear models and interpret experimental data. Purpose: Compare a direct measurement ... More
Extreme scattering events and Galactic dark matterFeb 10 1998Mar 20 1998Extreme Scattering Events (ESEs) are attributed to radio-wave refraction by a cloud of free-electrons crossing the line-of-sight. We present a new model in which these electrons form the photo-ionized 'skin' of an underlying cool, self-gravitating cloud ... More
The mass and radius evolution of globular clusters in tidal fieldsJan 23 2013We present a simple theory for the evolution of initially compact clusters in a tidal field. The fundamental ingredient of the model is that a cluster conducts a constant fraction of its own energy through the half-mass radius by two-body interactions ... More
Electroweak Measurements from Hadron MachinesDec 14 1999A review of recent electroweak results from hadron machines including the measurements of the top quark and W boson mass.
Mathematical Models in Schema TheoryDec 27 2005In this paper, a mathematical schema theory is developed. This theory has three roots: brain theory schemas, grid automata, and block-shemas. In Section 2 of this paper, elements of the theory of grid automata necessary for the mathematical schema theory ... More
The Rise and Fall of the Church-Turing ThesisJul 12 2002The essay consists of three parts. In the first part, it is explained how theory of algorithms and computations evaluates the contemporary situation with computers and global networks. In the second part, it is demonstrated what new perspectives this ... More
Reluctant Paraphrase: Textual Restructuring under an Optimisation ModelJul 03 1997This paper develops a computational model of paraphrase under which text modification is carried out reluctantly; that is, there are external constraints, such as length or readability, on an otherwise ideal text, and modifications to the text are necessary ... More
A path property of Dyson gaps, Plancherel measures for $Sp(\infty)$, and random surface growthJun 29 2015Jul 13 2015We pursue applications for symplectic Plancherel growth based on a repulsion phenomenon arising in its diffusion limit and on intermediate representation theory underlying its correlation structure. Under diffusive scaling, the dynamics converge to interlaced ... More
Random vectors in the isotropic positionAug 19 1996Let $y$ be a random vector in \rn, satisfying $$ \Bbb E \, \tens{y} = id. $$ Let $M$ be a natural number and let $y_1 \etc y_M$ be independent copies of $y$. We prove that for some absolute constant $C$ $$ \enor{\frac{1}{M} \sum_i \tens{y_i} - id} \le ... More
Bollinger Bands Thirty Years LaterDec 20 2012Jan 01 2013The goal of this study is to explain and examine the statistical underpinnings of the Bollinger Band methodology. We start off by elucidating the rolling regression time series model and deriving its explicit relationship to Bollinger Bands. Next we illustrate ... More
Enstrophy and dissipation must have the same scaling exponent in the high Reynolds number limit of fluidturbulenceJun 16 1998Jan 25 1999Writing the Poisson equation for the pressure in the vorticity-strain form, we show that the pressure has a finite inertial range spectrum for high Reynolds number isotropic turbulence only if the anomalous scaling exponents $\mu$ and $\mu_{\omega}$ for ... More
Signals of Inflationary Models with Cosmic StringsJun 02 2011A class of well-motivated models of inflation end by producing cosmic strings. The current status of efforts to calculate and observe the signals from such models are outlined, with a particular emphasis on cosmic strings, and on the Cosmic Microwave ... More
Quantum fields in disequilibrium: neutral scalar bosons with long-range, inhomogeneous perturbationsAug 15 1995Using Schwinger's quantum action principle, dispersion relations are obtained for neutral scalar mesons interacting with bi-local sources. These relations are used as the basis of a method for representing the effect of interactions in the Gaussian approximation ... More
Chern-Simons vortices in an open systemMay 02 1995A gauge invariant quantum field theory with a spacetime dependent Chern-Simons coefficient is studied. Using a constraint formalism together with the Schwinger action principle it is shown that non-zero gradients in the coefficient induce magnetic-moment ... More
Quasars and their host galaxiesJan 12 2006This review attempts to describe developments in the fields of quasar and quasar host galaxies in the past five. In this time period, the Sloan and 2dF quasar surveys have added several tens of thousands of quasars, with Sloan quasars being found to z>6. ... More
HST imaging of two z>4 radio galaxiesSep 09 1999We have imaged 8C 1435+635 (z=4.25; Lacy et al. 1994; Spinrad, Dey & Graham 1995) and 6C 0140+326 (z=4.41; Rawlings et al. 1996) in both continuum and Lyalpha plus continuum bands with the HST. Our images show patchy distributions of continuum and line ... More
Properties of High Redshift Cluster EllipticalsMar 06 1997Cluster ellipticals are often thought to be among the oldest galaxies in the universe, with the bulk of their stellar mass formed at early cosmic epochs. I review recent observations of color evolution in early-type cluster galaxies at high redshift, ... More
Galaxy Evolution at 0 < z < 2 from the NICMOS HDF-NorthApr 03 2000We have carried out a deep infrared imaging survey (1.1um and 1.6um) of the Hubble Deep Field North (HDF-N) using NICMOS on board the Hubble Space Telescope. The combined WFPC2+NICMOS data set lets us study galaxy morphologies, colors and luminosities ... More
Orthogonal apartments in Hilbert GrassmanniansDec 03 2015Dec 15 2015Let $H$ be an infinite-dimensional complex Hilbert space and let ${\mathcal L}(H)$ be the logic formed by all closed subspaces of $H$. For every natural $k$ we denote by ${\mathcal G}_{k}(H)$ the Grassmannian consisting of $k$-dimensional subspaces. An ... More
Embeddings of Grassmann graphsSep 26 2011Let $V$ and $V'$ be vector spaces of dimension $n$ and $n'$, respectively. Let $k\in\{2,...,n-2\}$ and $k'\in\{2,...,n'-2\}$. We describe all isometric and $l$-rigid isometric embeddings of the Grassmann graph $\Gamma_{k}(V)$ in the Grassmann graph $\Gamma_{k'}(V')$. ... More
Isometric embeddings of Johnson graphs in Grassmann graphsMar 17 2010Sep 14 2010Let $V$ be an $n$-dimensional vector space ($4\le n <\infty$) and let ${\mathcal G}_{k}(V)$ be the Grassmannian formed by all $k$-dimensional subspaces of $V$. The corresponding Grassmann graph will be denoted by $\Gamma_{k}(V)$. We describe all isometric ... More
Generalised Holographic Electroweak Symmetry Breaking Models and the Possibility of Negative SApr 20 2011Jun 28 2011Within an AdS/CFT inspired model of electroweak symmetry breaking the effects of various boundary terms and modifications to the background are studied. The effect on the S precision parameter is discussed with particular attention to its sign and whether ... More
Magnet stability and reproducibilityMar 08 2011Magnet stability and reproducibility have become increasingly important as greater precision and beams with smaller dimension are required for research, medical and other purpose. The observed causes of mechanical and electrical instability are introduced ... More
Dense Quark Matter in NatureDec 01 2003According to quantum chromodynamics (QCD), matter at ultra-high densities will take the form of a color-superconducting quark liquid, in which there is a condensate of Cooper pairs of quarks near the Fermi surface. I present a review of the physics of ... More
On stochastic perturbations of dynamical systems with a "rough" symmetry. Hierarchy of Markov chainsJun 18 2014We consider long-time behavior of dynamical systems perturbed by a small noise. Under certain conditions, a slow component of such a motion, which is most important for long- time evolution, can be described as a motion on the cone of invariant measures ... More
Sensitivities of Future Long Baseline Experiments in the USNov 09 2007Sensitivities to neutrino oscillation parameters for possible very long baseline neutrino oscillation experiments are discussed. The reach for observing a non-zero mixing angle $\theta_{13}$, establishing CP violation and determining the mass hierarchy ... More
Comment on "Ambiguities in the Up-Quark Mass"Mar 04 2005Aug 18 2014Creutz [hep-ph/0312225] has argued that nonperturbative effects in QCD lead to an additive ambiguity in the up quark mass, and that "this calls into question the acceptability of attempts to solve the strong CP problem via a vanishing mass for the lightest ... More
Subjective and Objective Probabilities in Quantum MechanicsJan 03 2005Jan 14 2005We discuss how the apparently objective probabilities predicted by quantum mechanics can be treated in the framework of Bayesian probability theory, in which all probabilities are subjective. Our results are in accord with earlier work by Caves, Fuchs, ... More
Comment on "Spatial Correlation in Quantum Chaotic Systems with Time-Reversal Symmetry: Theory and Experiment" by V. N. Prigodin et al [cond-mat/9504089]Dec 14 1995We show that the results of Prigodin et al can be reproduced and simplified by making use of Berry's conjecture that the energy eigenfunctions in a quantized chaotic system are gaussian random variables.
Does Quantum Chaos Explain Quantum Statistical Mechanics?Oct 14 1994Apr 20 1995If a many-body quantum system approaches thermal equilibrium from a generic initial state, then the expectation value $\langle\psi(t)|A_i|\psi(t)\rangle$, where $|\psi(t)\rangle$ is the system's state vector and $A_i$ is an experimentally accessible observable, ... More
Chaos and Quantum ThermalizationMar 14 1994Apr 29 1994We show that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey {\it Berry's conjecture}. Berry's conjecture is expected ... More
Quantum Field Theory: Spin ZeroSep 02 2004This is a draft version of Part I of a three-part textbook on quantum field theory.
Relic Abundances and the Boltzmann EquationMay 17 2000Jul 10 2000I discuss the validity of the quantum Boltzmann equation for the calculation of WIMP relic densities.
Spatial Correlations in Chaotic EigenfunctionsDec 09 1997At short distances, energy eigenfunctions of chaotic systems have spatial correlations that are well described by assuming a microcanonical density in phase space for the corresponding Wigner function. However, this is not correct on large scales. The ... More
Effects of Compensation, Connectivity and Tau in a Computational Model of Alzheimer's DiseaseJun 30 2011This work updates an existing, simplistic computational model of Alzheimer's Disease (AD) to investigate the behaviour of synaptic compensatory mechanisms in neural networks with small-world connectivity, and varying methods of calculating compensation. ... More
Deforming Calabi-Yau ThreefoldsJun 26 1995This paper first generalises the Bogomolov-Tian-Todorov unobstructedness theorem to the case of Calabi-Yau threefolds with canonical singularities. The deformation space of such a Calabi-Yau threefold is no longer smooth, but the general principle is ... More
Special Lagrangian Fibrations I: TopologyOct 06 1997In 1996, Strominger, Yau and Zaslow made a conjecture about the geometric relationship between two mirror Calabi-Yau manifolds. Roughly put, if X and Y are a mirror pair of such manifolds, then X should possess a special Lagrangian torus fibration $f:X\to ... More