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Results for "Michael Tsang"

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Multiparameter Heisenberg limitMar 17 2014Feb 01 2016Using a quantum version of the Bell-Ziv-Zakai bound, I derive a Heisenberg limit to multiparameter estimation for any Gaussian prior probability density. The mean-square error lower bound is shown to have a universal quadratic scaling with respect to ... More
Linear Corotation Torques in Non-Barotropic DisksOct 31 2013Jan 13 2014I derive a fully analytic expression for the linear corotation torque to first order in eccentricity for planets in non-barotropic protoplanetary disks, taking into account the effect of disk entropy gradients. This torque formula is applicable to both ... More
Protoplanetary Disk Resonances and Type I MigrationJul 20 2011Oct 03 2011Waves reflected by the inner edge of a protoplanetary disk are shown to significantly modify Type I migration, even allowing the trapping of planets near the inner disk edge for small planets in a range of disk parameters. This may inform the distribution ... More
Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy's paradoxSep 13 2009The quantum smoothing theory [Tsang, Phys. Rev. Lett. 102, 250403 (2009); Phys. Rev. A, in press (e-print arXiv:0906.4133)] is extended to account for discrete jumps in the classical random process to be estimated, discrete variables in the quantum system, ... More
Optimal waveform estimation for classical and quantum systems via time-symmetric smoothingJun 22 2009Aug 11 2009Classical and quantum theories of time-symmetric smoothing, which can be used to optimally estimate waveforms in classical and quantum systems, are derived using a discrete-time approach, and the similarities between the two theories are emphasized. Application ... More
Decoherence of Quantum-Enhanced Timing AccuracyApr 05 2007Quantum enhancement of optical pulse timing accuracy is investigated in the Heisenberg picture. Effects of optical loss, group-velocity dispersion, and Kerr nonlinearity on the position and momentum of an optical pulse are studied via Heisenberg equations ... More
Quantum Imaging beyond the Diffraction Limit by Optical Centroid MeasurementsJan 30 2009Jun 22 2009I propose a quantum imaging method that can beat the Rayleigh-Abbe diffraction limit and achieve de Broglie resolution without requiring a multiphoton absorber as the detector. Using the same non-classical states of light as those for quantum lithography, ... More
Quantum Semiparametric EstimationJun 24 2019In the study of quantum limits to parameter estimation, the high dimensionality of the density operator and that of the unknown parameters have long been two of the most difficult challenges. Here I propose a theory of quantum semiparametric estimation ... More
On the multiple holomorph of groups of squarefree or odd prime power orderJun 20 2019Let $G$ be a group and write $\mbox{Perm}(G)$ for its symmetric group. Define $\mbox{Hol}(G)$ to be the holomorph of $G$, regarded as a subgroup of $\mbox{Perm}(G)$, and let $\mbox{NHol}(G)$ denote its normalizer. The quotient $T(G) = \mbox{NHol}(G)/\mbox{Hol}(G)$ ... More
Electromagnetically induced transparency and optical memories in an optomechanical system with $N$ membranesMar 06 2014We study the propagation of a weak probe field through an optomechanical system in which $N$ nearly degenerate mechanical membranes are inside a Febry-Perot cavity, and couple dispersively to an intracavity field. We derive a general analytical expression ... More
Coupled-Resonator Optical Near-Field LithographyApr 21 2008The problem of pattern formation in resonantly-enhanced near-field lithography by the use of dielectric or plasmonic planar resonators is investigated. Sub-diffraction-limited bright or dark spots can be produced by taking advantage of the rotational ... More
Detecting Statistical Interactions from Neural Network WeightsMay 14 2017Feb 27 2018Interpreting neural networks is a crucial and challenging task in machine learning. In this paper, we develop a novel framework for detecting statistical interactions captured by a feedforward multilayer neural network by directly interpreting its learned ... More
Extracting Interpretable Concept-Based Decision Trees from CNNsJun 11 2019In an attempt to gather a deeper understanding of how convolutional neural networks (CNNs) reason about human-understandable concepts, we present a method to infer labeled concept data from hidden layer activations and interpret the concepts through a ... More
The Blue Box White PaperOct 29 2013This white paper is an explanation of Ben and Dave's TARDIS time machine, written for laypeople who are interested in time travel, but have no technical knowledge of Einstein's Theory of General Relativity. The first part of this paper is an introduction ... More
Timing Noise in Pulsars and Magnetars and the Magnetospheric Moment of InertiaFeb 18 2013Jul 17 2013We examine timing noise in both magnetars and regular pulsars, and find that there exists a component of the timing noise with strong magnetic field dependence above B ~ 10^{12.5} G. The dependence of the timing noise floor on the magnetic field is also ... More
The number of quartic $D_4$-fields with monogenic cubic resolvent ordered by conductorDec 22 2017Jul 10 2018In this paper, we consider maximal and irreducible quartic orders which arise from integral binary quartic forms, via the construction of Birch and Merriman, and whose field of fractions is a quartic $D_4$-field. By a theorem of M. Wood, such quartic ... More
Quantum Weiss-Weinstein bounds for quantum metrologyNov 29 2015Jul 26 2016Sensing and imaging are among the most important applications of quantum information science. To investigate their fundamental limits and the possibility of quantum enhancements, researchers have for decades relied on the quantum Cram\'er-Rao lower error ... More
Binary quartic forms with bounded invariants and small Galois groupsFeb 23 2017Nov 10 2018In this paper, we consider integral and irreducible binary quartic forms whose Galois group is isomorphic to a subgroup of the dihedral group of order eight. We first show that the set of all such forms is a union of families indexed by integral binary ... More
Can I trust you more? Model-Agnostic Hierarchical ExplanationsDec 12 2018Interactions such as double negation in sentences and scene interactions in images are common forms of complex dependencies captured by state-of-the-art machine learning models. We propose Mah\'e, a novel approach to provide Model-agnostic hierarchical ... More
Measuring Neutron Separation Energies Far from StabilityFeb 27 2003A method is proposed for the experimental measurement of neutron separation energies for nuclei far from stability. The procedure is based on determining cross sections for the production of nuclei, by projectile fragmentation, for which only protons ... More
Deep Neural Network Classifier for Variable Stars with Novelty Detection CapabilityMay 14 2019Common variable star classifiers are built only with the goal of producing the correct class labels, leaving much of the multi-task capability of deep neural networks unexplored. We present a periodic light curve classifier that combines a recurrent neural ... More
Localization Algorithm with Circular Representation in 2D and its Similarity to Mammalian BrainsSep 09 2018Jan 25 2019Extended Kalman filter (EKF) does not guarantee consistent mean and covariance under linearization, even though it is the main framework for robotic localization. While Lie group improves the modeling of the state space in localization, the EKF on Lie ... More
Quantum Theory of Superresolution for Two Incoherent Optical Point SourcesNov 02 2015Aug 29 2016Rayleigh's criterion for resolving two incoherent point sources has been the most influential measure of optical imaging resolution for over a century. In the context of statistical image processing, violation of the criterion is especially detrimental ... More
Quantum-optimal detection of one-versus-two incoherent sources with arbitrary separationSep 10 2016We analyze the fundamental resolution of incoherent optical point sources from the perspective of a quantum detection problem: deciding whether the optical field on the image plane is generated by one source or two weaker sources with arbitrary separation. ... More
Eigensystem Bootstrap Multiscale Analysis for the Anderson ModelMay 11 2016Nov 27 2016We use a bootstrap argument to enhance the eigensystem multiscale analysis, introduced by Elgart and Klein for proving localization for the Anderson model at high disorder. The eigensystem multiscale analysis studies finite volume eigensystems, not finite ... More
Chiral Symmetry Breaking out of QCD Effective LocalityOct 11 2018The QCD non-perturbative property of Effective Locality whose essential meaning has been disclosed recently, is here questioned about the chiral symmetry breaking phenomenon, one of the two major issues of the non-perturbative phase of QCD. As a first ... More
Symmetry energy constraints from GW170817 and laboratory experimentsJun 04 2019The LIGO-Virgo collaboration detection of the binary neutron-star merger event, GW170817, has expanded efforts to understand the Equation of State (EoS) of nuclear matter. These measurements provide new constraints on the overall pressure, but do not ... More
Insights on Skyrme parameters from GW170817May 06 2019The binary neutron-star merger event, GW170817, has cast a new light on nuclear physics research. Using a neutron-star model that includes a crust equation of state (EoS), we calculate the properties of a 1.4 solar-mass neutron star. The model incorporates ... More
Conservative error measures for classical and quantum metrologyMay 12 2016The classical and quantum Cram\'er-Rao bounds have become standard measures of parameter-estimation uncertainty for a variety of sensing and imaging applications in recent years, but their assumption of unbiased estimators potentially undermines their ... More
Mismatched Quantum Filtering and Entropic InformationOct 01 2013Jan 27 2014Quantum filtering is a signal processing technique that estimates the posterior state of a quantum system under continuous measurements and has become a standard tool in quantum information processing, with applications in quantum state preparation, quantum ... More
Beating the spatial standard quantum limits via adiabatic soliton expansionApr 18 2006May 09 2006Spatial quantum enhancement effects are studied under a unified framework. It is shown that the multiphoton absorption rate of photons with a quantum-enhanced lithographic resolution is reduced, not enhanced, contrary to popular belief. The use of adiabatic ... More
Quantum limits to optical point-source localizationNov 11 2014Jul 27 2015Motivated by the importance of optical microscopes to science and engineering, scientists have pondered for centuries how to improve their resolution and the existence of fundamental resolution limits. In recent years, a new class of microscopes that ... More
Hopf-Galois structures on a Galois $S_n$-extensionDec 16 2018In this paper, we shall determine the exact number of Hopf-Galois structures on a Galois $S_n$-extension, where $S_n$ denotes the symmetric group on $n$ letters.
On the multiple holomorph of a finite almost simple groupApr 22 2019Let $G$ be a group and write $\mbox{Perm}(G)$ for its symmetric group. The holomorph $\mbox{Hol}(G)$ of $G$ is defined to be the normalizer of the subgroup of left translations in $\mbox{Perm}(G)$. Its normalizer $\mbox{NHol}(G)$ in $\mbox{Perm}(G)$ in ... More
On the multiple holomorph of a finite almost simple groupApr 22 2019May 29 2019Let $G$ be a group. Let $\mathrm{Perm}(G)$ denote its symmetric group and write $\mathrm{Hol}(G)$ for the normalizer of the subgroup of left translations in $\mathrm{Perm}(G)$. The multiple holomorph $\mathrm{NHol}(G)$ of $G$ is in turn defined to be ... More
Non-existence of Hopf-Galois structures and bijective crossed homomorphismsMay 28 2018Sep 15 2018By work of C. Greither and B. Pareigis as well as N. P. Byott, the enumeration of Hopf-Galois structures on a Galois extension of fields with Galois group $G$ may be reduced to that of regular subgroups of $\mbox{Hol}(N)$ isomorphic to $G$ as $N$ ranges ... More
On the self-duality of rings of integers in tame and abelian extensionsMar 09 2017Dec 06 2018Let $L/K$ be a tame and Galois extension of number fields with group $G$. It is well-known that any ambiguous ideal in $L$ is locally free over $\mathcal{O}_KG$ (of rank one), and so it defines a class in the locally free class group of $\mathcal{O}_KG$, ... More
The quantum Bell-Ziv-Zakai bounds and Heisenberg limits for waveform estimationSep 28 2014We propose quantum versions of the Bell-Ziv-Zakai lower bounds on the error in multiparameter estimation. As an application we consider measurement of a time-varying optical phase signal with stationary Gaussian prior statistics and a power law spectrum ... More
Bounding biomass in the Fisher equationMar 17 2007The FKPP equation with a variable growth rate and advection by an incompressible velocity field is considered as a model for plankton dispersed by ocean currents. If the average growth rate is negative then the model has a survival-extinction transition; ... More
Subdiffraction incoherent optical imaging via spatial-mode demultiplexingAug 09 2016I propose a spatial-mode demultiplexing (SPADE) scheme for the far-field imaging of arbitrary incoherent optical sources. For an object too small to be resolved by direct imaging under the diffraction limit, I show that SPADE can estimate the moments ... More
Video Contents Prior Storing Server for Optical Access NetworkApr 08 2015One of the most important multimedia applications is Internet protocol TV (IPTV) for next-generation networks. IPTV provides triple-play services that require high-speed access networks with the functions of multicasting and quality of service (QoS) guarantees. ... More
Estimating Robot Strengths with Application to Selection of Alliance Members in FIRST Robotics CompetitionsOct 12 2018Dec 30 2018Since the inception of the FIRST Robotics Competition and its special playoff system, robotics teams have longed to quantify the strengths of individual robots. During the alliance selection phase, arguably the most game-changing part of the competition, ... More
Semiparametric estimation for incoherent optical imagingJun 11 2019Jun 17 2019The theory of semiparametric estimation offers an elegant way of computing the Cram\'er-Rao bound for a parameter of interest in the midst of infinitely many nuisance parameters. Here I apply the theory to the problem of moment estimation for incoherent ... More
k-meansNet: When k-means Meets Differentiable ProgrammingAug 22 2018Jan 23 2019In this paper, we study two challenging problems. The first one is how to implement \textit{k}-means in the neural network, which enjoys efficient training based on the stochastic algorithm. The second one is how to enhance the interpretability of network ... More
Enhanced optical nonlinearities in air-cladding silicon pedestal waveguidesOct 30 2016The third-order optical nonlinearity in optical waveguides has found applications in optical switching, optical wavelength conversion, optical frequency comb generation, and ultrafast optical signal processing. The development of an integrated waveguide ... More
Cavity quantum electro-opticsFeb 27 2010Jun 30 2010The quantum dynamics of the coupling between a cavity optical field and a resonator microwave field via the electro-optic effect is studied. This coupling has the same form as the opto-mechanical coupling via radiation pressure, so all previously considered ... More
Fundamental Quantum Limit to Multiphoton Absorption Rate for Monochromatic LightFeb 04 2008Jul 22 2008The local multiphoton absorption rate for an arbitrary quantum state of monochromatic light, taking into account the photon number, momentum, and polarization degrees of freedom, is shown to have an upper bound that can be reached by coherent fields. ... More
Quantum temporal correlations and entanglement via adiabatic control of vector solitonsMar 10 2006May 29 2007It is shown that optical pulses with a mean position accuracy beyond the standard quantum limit can be produced by adiabatically expanding an optical vector soliton followed by classical dispersion management. The proposed scheme is also capable of entangling ... More
Cavity quantum electro-optics. II. Input-output relations between traveling optical and microwave fieldsMay 11 2011Aug 12 2011In the previous paper [M. Tsang, Phys. Rev. A 81, 063837 (2010), e-print arXiv:1003.0116], I proposed a quantum model of a cavity electro-optic modulator, which can coherently couple an optical cavity mode to a microwave resonator mode and enable novel ... More
A Bayesian quasi-probability approach to inferring the past of quantum observablesMar 13 2014Apr 01 2014I describe a method of inferring the past of quantum observables given the initial state and the subsequent measurement results using Wigner quasi-probability representations. The method is proved to be compatible with logic for large subclasses of quantum ... More
Shattering Flares During Close Encounters of Neutron StarsJul 12 2013We demonstrate that resonant shattering flares can occur during close passages of neutron stars in eccentric or hyperbolic encounters. We provide updated estimates for the rate of close encounters of compact objects in dense stellar environments, which ... More
Testing quantum mechanics: a statistical approachJun 12 2013Jan 27 2014As experiments continue to push the quantum-classical boundary using increasingly complex dynamical systems, the interpretation of experimental data becomes more and more challenging: when the observations are noisy, indirect, and limited, how can we ... More
Continuous Quantum Hypothesis TestingOct 23 2011Apr 27 2012I propose a general quantum hypothesis testing theory that enables one to test hypotheses about any aspect of a physical system, including its dynamics, based on a series of observations. For example, the hypotheses can be about the presence of a weak ... More
Time-Symmetric Quantum Theory of SmoothingApr 13 2009Jul 14 2009Smoothing is an estimation technique that takes into account both past and future observations, and can be more accurate than filtering alone. In this Letter, a quantum theory of smoothing is constructed using a time-symmetric formalism, thereby generalizing ... More
On the Galois module structure of the square root of the inverse different in abelian extensionsJul 16 2014Jun 09 2015Let $K$ be a number field with ring of integers $\mathcal{O}_K$ and $G$ a finite group of odd order. If $K_h$ is a weakly ramified $G$-Galois $K$-algebra, then its square root $A_h$ of the inverse different is a locally free $\mathcal{O}_{K}G$-module ... More
Resolving starlight: a quantum perspectiveJun 05 2019The wave-particle duality of light introduces two fundamental problems to imaging, namely, the diffraction limit and the photon shot noise. Quantum information theory can tackle them both in one holistic formalism: model the light as a quantum object, ... More
Hopf-Galois structures on a Galois $S_n$-extensionDec 16 2018May 20 2019In this paper, we shall determine the exact number of Hopf-Galois structures on a Galois $S_n$-extension, where $S_n$ denotes the symmetric group on $n$ letters.
Galois module structure of the square root of the inverse different over maximal ordersJul 25 2016Let $K$ be a number field with ring of integers $\mathcal{O}_K$ and let $G$ be a \mbox{finite group of} odd order. Given a $G$-Galois $K$-algebra $K_h$, let $A_h$ be the square root of the inverse different of $K_h/K$, which exists by Hilbert's formula. ... More
N derivatives are necessary for order N+1 convergence in quadrature: a converse resultJan 28 2014Results on the error bounds of quadrature methods are well known - most state that if the method has degree N, and the integrand has N derivatives, then the error is order N+1. We prove here a converse: that if the integrand fails to have N derivatives, ... More
Energy-Efficient Sensor Censoring for Compressive Distributed Sparse Signal RecoveryDec 05 2017Jan 15 2018To strike a balance between energy efficiency and data quality control, this paper proposes a sensor censoring scheme for distributed sparse signal recovery via compressive-sensing based wireless sensor networks. In the proposed approach, each sensor ... More
Spectral phase conjugation via extended phase matchingJun 15 2005Nov 21 2005It is shown that the copropagating three-wave-mixing parametric process, with appropriate type-II extended phase matching and pumped with a short second-harmonic pulse, can perform spectral phase conjugation and parametric amplification, which shows a ... More
Subdiffraction incoherent optical imaging via spatial-mode demultiplexingAug 09 2016Nov 15 2016I propose a spatial-mode demultiplexing (SPADE) measurement scheme for the far-field imaging of arbitrary incoherent optical sources. For any object too small to be resolved by direct imaging under the diffraction limit, I show that SPADE can estimate ... More
The parametrized probabilistic finite-state transducer probe game player fingerprint modelJan 29 2014Fingerprinting operators generate functional signatures of game players and are useful for their automated analysis independent of representation or encoding. The theory for a fingerprinting operator which returns the length-weighted probability of a ... More
Quantum metrology with open dynamical systemsJan 24 2013Jun 12 2013This paper studies quantum limits to dynamical sensors in the presence of decoherence. A modified purification approach is used to obtain tighter quantum detection and estimation error bounds for optical phase sensing and optomechanical force sensing. ... More
Ziv-Zakai Error Bounds for Quantum Parameter EstimationNov 15 2011May 10 2012I propose quantum versions of the Ziv-Zakai bounds as alternatives to the widely used quantum Cram\'er-Rao bounds for quantum parameter estimation. From a simple form of the proposed bounds, I derive both a "Heisenberg" error limit that scales with the ... More
Quantum Nonlocality in Weak-Thermal-Light InterferometryAug 08 2011Nov 17 2011In astronomy, interferometry of light collected by separate telescopes is often performed by physically bringing the optical paths together in the form of Young's double-slit experiment. Optical loss severely limits the efficiency of this so-called direct ... More
Semiparametric estimation for incoherent optical imagingJun 11 2019The theory of semiparametric estimation offers an elegant way to compute the Cram\'er-Rao bound for a parameter of interest in the midst of infinitely many nuisance parameters. Here I apply the theory to the problem of moment estimation for incoherent ... More
Realizable classes and embedding problemsFeb 07 2016Jul 25 2016Let $K$ be a number field with ring of integers $\mathcal{O}_K$ and let $G$ be a finite group. Given a $G$-Galois $K$-algebra $K_h$, let $\mathcal{O}_h$ denote its ring of integers. If $K_h/K$ is tame, then a classical theorem of E. Noether implies that ... More
The $\mathcal L_B$-cohomology on compact torsion-free $\mathrm{G}_2$ manifolds and an application to 'almost' formalityJan 19 2018Sep 07 2018We study a cohomology theory $H^{\bullet}_{\varphi}$, called the $\mathcal L_B$-cohomology, on compact torsion-free $\mathrm{G}_2$-manifolds. We show that $H^k_{\varphi} \cong H^k_{\mathrm{dR}}$ for $k \neq 3, 4$, but that $H^k_{\varphi}$ is infinite-dimensional ... More
Volterra filters for quantum estimation and detectionSep 07 2015Dec 14 2015The implementation of optimal statistical inference protocols for high-dimensional quantum systems is often computationally expensive. To avoid the difficulties associated with optimal techniques, here I propose an alternative approach to quantum estimation ... More
Quantum transition-edge detectorsMay 08 2013Aug 14 2013Small perturbations to systems near critical points of quantum phase transitions can induce drastic changes in the system properties. Here I show that this sensitivity can be exploited for weak-signal detection applications. This is done by relating a ... More
Ultimate Energy Densities for Electromagnetic PulsesMar 06 2008The ultimate electric and magnetic energy densities that can be attained by bandlimited electromagnetic pulses in free space are calculated using an ab initio quantized treatment, and the quantum states of electromagnetic fields that achieve the ultimate ... More
On the Relationship between Resolution Enhancement and Multiphoton Absorption Rate in Quantum LithographyJul 17 2006Feb 28 2007The proposal of quantum lithography [Boto et al., Phys. Rev. Lett. 85, 2733 (2000)] is studied via a rigorous formalism. It is shown that, contrary to Boto et al.'s heuristic claim, the multiphoton absorption rate of a ``NOON'' quantum state is actually ... More
On the realizable classes of the square root of the inverse different in the unitary class groupSep 21 2015Dec 08 2015Let $K$ be a number field with ring of integers $\mathcal{O}_K$ and let $G$ be a finite abelian group of odd order. Given a $G$-Galois $K$-algebra $K_h$, let $A_h$ denote its square root of the inverse different, which exists by Hilbert's formula. If ... More
Hopf-Galois structures of isomorphic type on a non-abelian characteristically simple extensionNov 28 2018Mar 15 2019Let $L/K$ be a finite Galois extension whose Galois group $G$ is non-abelian and characteristically simple. Using tools from graph theory, we shall give a closed formula for the number of Hopf-Galois structures on $L/K$ with associated group isomorphic ... More
Forward stimulated Brillouin scattering in silicon microring resonatorsApr 24 2017Stimulated Brillouin scattering (SBS) has been demonstrated in silicon waveguides in recent years. However, due to the weak interaction between photons and acoustic phonons in these waveguides, long interaction length is typically necessary. Here, we ... More
Far-field Super-resolution of Thermal Electromagnetic Sources at the Quantum LimitApr 04 2016Jul 06 2016We obtain the ultimate quantum limit for estimating the transverse separation of two thermal point sources using a given imaging system with limited spatial bandwidth. Via the quantum Cramer-Rao bound, we show that, contrary to the Rayleigh limit in conventional ... More
Corotational Instability of Inertial-Acoustic Modes in Black Hole Accretion Discs and Quasi-Periodic OscillationsOct 01 2008Nov 14 2008We study the global stability of non-axisymmetric p-modes (also called inertial-acoustic modes) trapped in the inner-most regions of accretion discs around black holes. We show that the lowest-order (highest-frequency) p-modes, with frequencies $\omega=(0.5-0.7) ... More
Schwinger Generating Functional Derivation of LHC Elastic Proton-Proton Scattering AmplitudesNov 12 2018Nov 30 2018A recent Schwinger Generating Functional based formulation, by H.M.Fried,Y.Gabellini,T.Grandou and Y-M.Sheu and P.H.Tsang provided gauge-invariant, exact, non-perturbative solutions for QCD. After choosing a renormalization scheme and assuming a simpler ... More
Interferometric superlocalization of two incoherent optical point sourcesDec 28 2015Jan 24 2016A novel interferometric method - SLIVER (Super Localization by Image inVERsion interferometry) - is proposed for estimating the separation of two incoherent point sources with a mean squared error that does not deteriorate as the sources are brought closer. ... More
Comment on "Resurgence of Rayleigh's curse in the presence of partial coherence"Oct 29 2018Larson and Saleh [Optica 5, 1382 (2018)] suggest that Rayeleigh's curse can recur and become unavoidable if the two sources are partially coherent. Here we show that their calculations and assertions have fundamental problems, and spatial-mode demultiplexing ... More
Taking all positive eigenvectors is suboptimal in classical multidimensional scalingFeb 12 2014It is hard to overstate the importance of multidimensional scaling as an analysis technique in the broad sciences. Classical, or Torgerson multidimensional scaling is one of the main variants, with the advantage that it has a closed-form analytic solution. ... More
On the solvability of regular subgroups in the holomorph of a finite solvable groupJan 30 2019Mar 20 2019In this paper, we shall exhibit an infinite family of non-solvable numbers $n$ for which the holomorph of any solvable group of order $n$ has no insolvable regular subgroup.
Third Order Intermodulation Power Estimation for N Sinusoidal ChannelsNov 23 2013In this paper analysis is given to find the third order intermodulation power given sinusoids are fed into a nonlinear device. A simple expression of the third order intermodulation power is given for the case that the center frequencies of the input ... More
Co-teaching: Robust Training of Deep Neural Networks with Extremely Noisy LabelsApr 18 2018Oct 30 2018Deep learning with noisy labels is practically challenging, as the capacity of deep models is so high that they can totally memorize these noisy labels sooner or later during training. Nonetheless, recent studies on the memorization effects of deep neural ... More
Theoretical model for the evolution of the linguistic diversityMay 27 2005Here we describe how some important scaling laws observed in the distribution of languages on Earth can emerge from a simple computer simulation. The proposed language dynamics includes processes of selective geographic colonization, linguistic anomalous ... More
Corotational Damping of Diskoseismic C-modes in Black Hole Accretion DiscsOct 07 2008Nov 14 2008Diskoseismic c-modes in accretion discs have been invoked to explain low-frequency variabilities observed in black-hole X-ray binaries. These modes are trapped in the inner-most region of the disc and have frequencies much lower than the rotation frequency ... More
On the solvability of regular subgroups in the holomorph of a finite solvable groupJan 30 2019In this paper, we shall exhibit an infinite family of non-solvable numbers $n$ for which the holomorph of any solvable group of order $n$ has no insolvable regular subgroup.
Electromagnetic Chirps from Neutron Star-Black Hole MergersApr 25 2017We calculate the electromagnetic signal of a gamma-ray flare coming from the surface of a neutron star shortly before merger with a black hole companion. Using a new version of the Monte Carlo radiation transport code Pandurata that incorporates dynamic ... More
Simple and Efficient Learning using Privileged InformationApr 06 2016The Support Vector Machine using Privileged Information (SVM+) has been proposed to train a classifier to utilize the additional privileged information that is only available in the training phase but not available in the test phase. In this work, we ... More
Propagation of temporal entanglementMar 10 2006The equations that govern the temporal evolution of two photons in the Schr{\"o}dinger picture are derived, taking into account the effects of loss, group-velocity dispersion, temporal phase modulation, linear coupling among different optical modes, and ... More
Reflectionless evanescent-wave amplification by two dielectric planar waveguidesMar 10 2006Oct 17 2006Utilizing the underlying physics of evanescent wave amplification by a negative-refractive-index slab, it is shown that evanescent waves with specific spatial frequencies can also be amplified without any reflection simply by two dielectric planar waveguides. ... More
Super-Reflection in Fluid Discs: Corotation Amplifier, Corotation Resonance, Rossby Waves, and Overstable ModesOct 11 2007May 16 2008In differentially rotating discs with no self-gravity, density waves cannot propagate around the corotation, where the wave pattern rotation speed equals the fluid rotation rate. Waves incident upon the corotation barrier may be super-reflected (commonly ... More
Quantum optimality of photon counting for temperature measurement of thermal astronomical sourcesApr 08 2015Jul 28 2015Using the quantum Cram\'{e}r-Rao bound from quantum estimation theory, we derive a fundamental quantum limit on the sensitivity of a temperature measurement of a thermal astronomical source. This limit is expressed in terms of the source temperature $T_s$, ... More
Fundamental quantum limits to waveform detectionApr 17 2012Oct 16 2012Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of time-varying signals have been a subject of intense research and debate. Drawing insights from quantum information theory, quantum detection ... More
An index for regular expression queries: Design and implementationAug 04 2011Aug 15 2011The like regular expression predicate has been part of the SQL standard since at least 1989. However, despite its popularity and wide usage, database vendors provide only limited indexing support for regular expression queries which almost always require ... More
Optimal signal processing for continuous qubit readoutMay 28 2014Aug 06 2014The measurement of a quantum two-level system, or a qubit in modern terminology, often involves an electromagnetic field that interacts with the qubit, before the field is measured continuously and the qubit state is inferred from the noisy field measurement. ... More
Scaling study of an improved fermion action on quenched latticesDec 19 2014We present scaling studies for heavy-quark observables calculated with an $O(a^2)$-improved fermion action on tree-level Symanzik improved gauge configurations. Lattices of $1/a = $ 2.0-3.8 GeV with an equal physical volume 1.6 fm are used. The results ... More
Black Magic Investigation Made Simple: Monte Carlo Simulations and Historical Back Testing of Momentum Cross-Over Strategies Using FRACTI PatternsAug 23 2018To promote economic stability, finance should be studied as a hard science, where scientific methods apply. When a trading strategy is proposed, the underlying model should be transparent and defined robustly to allow other researchers to understand and ... More
Charge carrier induced barrier height reduction at organic heterojunctionsAug 07 2008In order to provide an accurate theoretical description of current density voltage (J-V) characteristics of an organic heterojunction device over a wide range of electric fields at various temperatures, it is proposed that an accumulation of charge carriers ... More