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Joint Sensing and Power Allocation in Nonconvex Cognitive Radio Games: Nash Equilibria and Distributed AlgorithmsDec 27 2012In this paper, we propose a novel class of Nash problems for Cognitive Radio (CR) networks, modeled as Gaussian frequency-selective interference channels, wherein each secondary user (SU) competes against the others to maximize his own opportunistic throughput ... More

A Unifying Framework of High-Dimensional Sparse Estimation with Difference-of-Convex (DC) RegularizationsDec 18 2018Under the linear regression framework, we study the variable selection problem when the underlying model is assumed to have a small number of nonzero coefficients (i.e., the underlying linear model is sparse). Non-convex penalties in specific forms are ... More

Distributed Power Allocation with Rate Constraints in Gaussian Parallel Interference ChannelsFeb 28 2007Jan 18 2008This paper considers the minimization of transmit power in Gaussian parallel interference channels, subject to a rate constraint for each user. To derive decentralized solutions that do not require any cooperation among the users, we formulate this power ... More

On Synchronous, Asynchronous, and Randomized Best-Response schemes for computing equilibria in Stochastic Nash gamesApr 15 2017Feb 06 2018This work considers a stochastic Nash game in which each player solves a parameterized stochastic optimization problem. In deterministic regimes, best-response schemes have been shown to be convergent under a suitable spectral property associated with ... More

Joint Sensing and Power Allocation in Nonconvex Cognitive Radio Games: Quasi-Nash EquilibriaDec 26 2012In this paper, we propose a novel class of Nash problems for Cognitive Radio (CR) networks composed of multiple primary users (PUs) and secondary users (SUs) wherein each SU (player) competes against the others to maximize his own opportunistic throughput ... More

On the Global Minimization of the Value-at-RiskJan 07 2004In this paper, we consider the nonconvex minimization problem of the value-at-risk (VaR) that arises from financial risk analysis. By considering this problem as a special linear program with linear complementarity constraints (a bilevel linear program ... More

Fullerene antiferromagnetic reconstructed spinterface subsurface layer dominates multi-orbitals spin-splitting and large magnetic moment in C60Oct 26 2016The interfaces between organic molecules and metal surfaces with layered antiferromagnetic order have gained increasing interests in the field of antiferromagnetic spintronics. The C60 layered AFM spinterfaces have been studied for C60 bonded only to ... More

Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phaseDec 06 2013Apr 17 2014We derive a semi-classical effective action and the kinetic equation for massive Dirac fermions in electromagnetic fields. The non-Abelian Berry phase structure emerges from two helicity states of massive fermions with positive energy. The classical spin ... More

FishNet: A Versatile Backbone for Image, Region, and Pixel Level PredictionJan 11 2019The basic principles in designing convolutional neural network (CNN) structures for predicting objects on different levels, e.g., image-level, region-level, and pixel-level are diverging. Generally, network structures designed specifically for image classification ... More

$\mathcal{R}^2$-CNN: Fast Tiny Object Detection in Large-scale Remote Sensing ImagesFeb 16 2019Recently, convolutional neural network has brought impressive improvements for object detection. However, detecting tiny objects in large-scale remote sensing images still remains challenging. Firstly, the extreme large input size makes existing object ... More

Deep RNN Framework for Visual Sequential ApplicationsNov 25 2018Nov 28 2018Extracting temporal and representation features efficiently plays a pivotal role in understanding visual sequence information. To deal with this, we propose a new recurrent neural framework that can be stacked deep effectively. There are mainly two novel ... More

A New Distributed DC-Programming Method and its ApplicationsAug 15 2013Sep 20 2013We propose a novel decomposition framework for the distributed optimization of Difference Convex (DC)-type nonseparable sum-utility functions subject to coupling convex constraints. A major contribution of the paper is to develop for the first time a ... More

Estimating Individualized Decision Rules with Tail ControlsMar 11 2019With the emergence of precision medicine, estimating optimal individualized decision rules (IDRs) has attracted tremendous attentions in many scientific areas. Most existing literature has focused on finding optimal IDRs that can maximize the expected ... More

Computing B-Stationary Points of Nonsmooth DC ProgramsNov 05 2015Motivated by a class of applied problems arising from physical layer based security in a digital communication system, in particular, by a secrecy sum-rate maximization problem, this paper studies a nonsmooth, difference-of-convex (dc) minimization problem. ... More

Dipolar matter-wave solitons in two-dimensional anisotropic discrete latticesApr 20 2016May 05 2016We numerically demonstrate two-dimensional (2D) matter-wave solitons in the disk-shaped dipolar Bose-Einstein condensates (BECs) trapped in strongly anisotropic optical lattices (OLs) in a disk's plane. The considered OLs are square lattices which can ... More

Generation of femtosecond optical vortex beams in all-fiber mode-locked fiber laser using mode selective couplerNov 30 2016We experimentally demonstrated a high-order optical vortex pulsed laser based on a mode selective all-fiber fused coupler composed of a single-mode fiber (SMF) and a few-mode fiber (FMF). The fused SMF-FMF coupler inserted in the cavity not only acts ... More

Cross-symmetric dipolar-matter-wave solitons in double-well chainsNov 24 2016Mar 11 2017We consider a dipolar Bose-Einstein condensate trapped in an array of two-well systems with an arbitrary orientations of the dipoles relative to the system's axis. The system can be built as a chain of local traps sliced into two parallel lattices by ... More

A Unified Algorithmic Framework for Block-Structured Optimization Involving Big DataNov 09 2015This article presents a powerful algorithmic framework for big data optimization, called the Block Successive Upper bound Minimization (BSUM). The BSUM includes as special cases many well-known methods for analyzing massive data sets, such as the Block ... More

Real and Complex Monotone Communication GamesDec 26 2012Dec 14 2013Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of convex Nash Equilibrium ... More

A Study of Piecewise Linear-Quadratic ProgramsSep 18 2017Aug 14 2018Motivated by a growing list of nontraditional statistical estimation problems of the piecewise kind, this paper provides a survey of known results supplemented with new results for the class of piecewise linear-quadratic programs. These are linearly constrained ... More

Parallel Successive Convex Approximation for Nonsmooth Nonconvex OptimizationJun 13 2014Oct 31 2014Consider the problem of minimizing the sum of a smooth (possibly non-convex) and a convex (possibly nonsmooth) function involving a large number of variables. A popular approach to solve this problem is the block coordinate descent (BCD) method whereby ... More

Solving Linear Programs with Complementarity Constraints using Branch-and-CutFeb 08 2018A linear program with linear complementarity constraints (LPCC) requires the minimization of a linear objective over a set of linear constraints together with additional linear complementarity constraints. This class has emerged as a modeling paradigm ... More

Large linear magnetoresistance in Dirac semi-metal Cd3As2 with Fermi surfaces close to the Dirac pointsMay 26 2014We have investigated the magnetoresistive behavior of Dirac semi-metal Cd3As2 down to low temperatures and in high magnetic fields. A positive and linear magnetoresistance (LMR) as large as 3100% is observed in a magnetic field of 14 T, on high-quality ... More

One-Loop Divergences in 6D Conformal GravityAug 04 2012Oct 17 2012Using Exact Renormalization Group Equation approach and background field method, we investigate the one-loop problem in a six-dimensional conformal gravity theory whose Lagrangian takes the same form as holographic Weyl anomaly of multiple coincident ... More

Brief Note on AMD Conserved Quantities in Quadratic Curvature TheoriesJan 22 2011Apr 12 2011Motivated by the recent work on critical gravity theories in dimensions D>3, we reexamine the results in [arXiv:hep-th/0501044], where the conformal mass definition of Ashtekar, Magnon and Das (AMD) for asymptotically AdS space-times was generalized to ... More

Decomposition by Partial Linearization: Parallel Optimization of Multi-Agent SystemsFeb 04 2013Sep 20 2013We propose a novel decomposition framework for the distributed optimization of general nonconvex sum-utility functions arising naturally in the system design of wireless multiuser interfering systems. Our main contributions are: i) the development of ... More

Hybrid Task Cascade for Instance SegmentationJan 22 2019Cascade is a classic yet powerful architecture that has boosted performance on various tasks. However, how to introduce cascade to instance segmentation remains an open question. A simple combination of Cascade R-CNN and Mask R-CNN only brings limited ... More

Thermoelectric properties of polycrystalline palladium sulfideFeb 08 2018A suite measurements of the electrical, thermal, and vibrational properties are conducted on palladium sulfide (PdS) in order to investigate its thermoelectric performance. The tetragonal structure with the space group $P$42/$m$ for PdS is determined ... More

Pressure-induced superconductivity in palladium sulfideJan 19 2018An extended study on PdS is carried out with the measurements of the resistivity, Hall coefficient, Raman scattering, and X-ray diffraction at high pressures up to 42.3 GPa. With increasing pressure, superconductivity is observed accompanying with a structural ... More

An Augmented Smoothing Method of L1 -norm Minimization and Its Implementation by Neural Network ModelJul 09 2012In this paper we propose an augmented smoothing function for nonlinear L1 -norm minimization problem and consider a global stability of a gradient-based neural network model to minimize the smoothing function. The numerical simulations show that our smoothing ... More

Corner contributions to holographic entanglement entropy in non-conformal backgroundsJun 26 2015Aug 30 2015We study corner contributions to holographic entanglement entropy in non-conformal backgrounds: a kink for D2-branes as well as a cone and two different types of crease for D4-branes. Unlike 2+1-dimensional CFTs, the corner contribution to the holographic ... More

Equivalence of Fluid Models for $G_t/GI/N+GI$ QueuesFeb 02 2015Aug 28 2017Four different fluid model formulations have been recently developed for $G_t/GI/N+GI$ queues, including a two-parameter fluid model in Whitt (2006) by tracking elapsed service and patience times of each customer, a measure-valued fluid model in Kang ... More

Continuity of a queueing integral representation in the ${M}_{\mathbf{1}}$ topologyJan 14 2010We establish continuity of the integral representation $y(t)=x(t)+\int_0^th(y(s)) ds$, $t\ge0$, mapping a function $x$ into a function $y$ when the underlying function space $D$ is endowed with the Skorohod $M_1$ topology. We apply this integral representation ... More

Ergodicity and fluctuations of a fluid particle driven by diffusions with jumpsFeb 16 2015In this paper, we study the long-time behavior of a fluid particle immersed in a turbulent fluid driven by a diffusion with jumps, that is, a Feller process associated with a non-local operator. We derive the law of large numbers and central limit theorem ... More

Optimization Method for Interval Portfolio Selection Based on Satisfaction Index of Interval inequality RelationJul 09 2012In this paper we consider an interval portfolio selection problem with uncertain returns and introduce an inclusive concept of satisfaction index for interval inequality relation. Based on the satisfaction index, we propose an approach to reduce the interval ... More

Practical Global Optimization Algorithm for the Sum-of-Ratios ProblemJul 05 2012Aug 06 2012This paper presents a practical method for finding the globally optimal solution to the sum-of-ratios problem arising in image processing, engineering and management. Unlike traditional methods which may get trapped in local minima due to the non-convex ... More

Location Prediction: Communities Speak Louder than FriendsAug 06 2014Apr 01 2016Humans are social animals, they interact with different communities of friends to conduct different activities. The literature shows that human mobility is constrained by their social relations. In this paper, we investigate the social impact of a person's ... More

Graph Laplacian Regularization for Inverse Imaging: Analysis in the Continuous DomainApr 27 2016Inverse imaging problems are inherently under-determined, and hence it is important to employ appropriate image priors for regularization. One recent popular prior---the graph Laplacian regularizer---assumes that the target pixel patch is smooth with ... More

$R^n$ Extension of Starobinsky Model in Old Minimal SupergravityFeb 21 2014Oct 08 2014We provide a succinct way to construct the supersymmetric completion of $R^n$ $(n\ge3)$ in components using superconformal formulation of old minimal supergravity. As a consequence, we obtain the polynomial $f(R)$ supergravity extending the supersymmetric ... More

All Off-Shell R^2 Invariants in Five Dimensional N=2 SupergravityJun 06 2013Aug 14 2013We construct supersymmetric completions of various curvature squared terms in five dimensional supergravity with eight supercharges. Adopting the dilaton Weyl multiplet, we obtain the minimal off-shell supersymmetric Ricci scalar squared as well as all ... More

Seven-Dimensional Gravity with Topological TermsDec 30 2009Apr 16 2010We construct new seven-dimensional gravity by adding two topological terms to the Einstein-Hilbert action. For certain choice of the coupling constants, these terms may be related to the R^4 correction to the 3-form field equation of eleven-dimensional ... More

Hopf Algebras and Markov ChainsDec 28 2014Dec 31 2014This thesis introduces a way to build Markov chains out of Hopf algebras. The transition matrix of a "Hopf-power Markov chain" is (the transpose of) the matrix of the coproduct-then-product operator on a combinatorial Hopf algebra with respect to a suitable ... More

Loading N-Dimensional Vector into Quantum Registers from Classical Memory with O(logN) StepsDec 08 2006Jun 04 2007Vector is the general format of input data of most algorithms. Designing unitary operation to load all information of vector into quantum registers of quantum CPU from classical memory is called quantum loading scheme (QLS). QLS assembles classical memory ... More

A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groupsAug 11 2016Jul 30 2017We show that the cuspidal component of the stable trace formula of a special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the $r$-stable trace formula, when $r$ is the standard or the ... More

Semiparametric Estimation for Cure Survival Model with Left-Truncated and Right-Censored Data and Covariate Measurement ErrorDec 28 2018In this paper, we mainly discuss the cure model with survival data. Different from the usual survival data with right-censoring, we incorporate the features of left-truncation and measurement error in covariates. Generally speaking, left-truncation causes ... More

Seeing stars: Exploiting class relationships for sentiment categorization with respect to rating scalesJun 17 2005We address the rating-inference problem, wherein rather than simply decide whether a review is "thumbs up" or "thumbs down", as in previous sentiment analysis work, one must determine an author's evaluation with respect to a multi-point scale (e.g., one ... More

First order dependence on uncertainty sets in robust optimizationJun 09 2010We show that a first order problem can approximate solutions of a robust optimization problem when the uncertainty set is scaled, and explore further properties of this first order problem.

Set intersection problems: Supporting hyperplanes and quadratic programmingDec 31 2012We study how the supporting hyperplanes produced by the projection process can complement the method of alternating projections and its variants for the convex set intersection problem. For the problem of finding the closest point in the intersection ... More

A dual ascent algorithm for asynchronous distributed optimization with unreliable directed communicationsSep 25 2018Feb 21 2019We show that the averaged consensus algorithm on directed graphs with unreliable communications by Bof-Carli-Schenato has a dual optimization interpretation, which could be extended to the case of distributed optimization. We report on our numerical simulations ... More

Ergodic Diffusion Control of Multiclass Multi-Pool Networks in the Halfin-Whitt RegimeMay 16 2015Aug 19 2015We consider Markovian multiclass multi-pool networks with heterogeneous server pools, each consisting of many statistically identical parallel servers, where the bipartite graph of customer classes and server pools forms a tree. Customers form their own ... More

Integrated Circuits Based on Bilayer MoS2 TransistorsAug 06 2012Two-dimensional (2D) materials, such as molybdenum disulfide (MoS2), have been shown to exhibit excellent electrical and optical properties. The semiconducting nature of MoS2 allows it to overcome the shortcomings of zero-bandgap graphene, while still ... More

On holographic entanglement entropy of non-local field theoriesApr 22 2014Jun 05 2014We study holographic entanglement entropy of non-local field theories both at extremality and finite temperature. The gravity duals, constructed in arXiv:1208.3469 [hep-th], are characterized by a parameter $w$. Both the zero temperature backgrounds and ... More

Probing holographic semi-local quantum liquids with D-branesJun 17 2013Aug 10 2013We study dynamics of probe D-branes in $(d+2)$-dimensional background with general semi-locality. The background is characterized by a parameter $\eta$ and is conformal to $AdS_{2}\times\mathbb{R}^{d}$. We discuss thermodynamics of the probe D-branes ... More

Nonconvex set intersection problems: From projection methods to the Newton method for super-regular setsJun 27 2015The problem of finding a point in the intersection of closed sets can be solved by the method of alternating projections and its variants. It was shown in earlier papers that for convex sets, the strategy of using quadratic programming (QP) to project ... More

Ferromagnetism in the Infinite-U Hubbard ModelApr 04 1994Apr 05 1994We have studied the stability of the ferromagnetic state in the infinite-U Hubbard model on a square lattice by approximate diagonalization of finite lattices using the density matrix renormalization group technique. By studying lattices with up to 5X20 ... More

Distributed deterministic asynchronous algorithms in time-varying graphs through Dykstra splittingApr 30 2018Nov 28 2018Consider the setting where each vertex of a graph has a function, and communications can only occur between vertices connected by an edge. We wish to minimize the sum of these functions. For the case when each function is the sum of a strongly convex ... More

Two-Parameter Heavy-Traffic Limits for Infinite-Server QueuesDec 04 2008Jul 09 2010In order to obtain Markov heavy-traffic approximations for infinite-server queues with general non-exponential service-time distributions and general arrival processes, possibly with time-varying arrival rates, we establish heavy-traffic limits for two-parameter ... More

Infinite horizon asymptotic average optimality for large-scale parallel server networksJun 13 2017Jan 23 2018We study infinite-horizon asymptotic average optimality for parallel server network with multiple classes of jobs and multiple server pools in the Halfin-Whitt regime. Three control formulations are considered: 1) minimizing the queueing and idleness ... More

Linear convergence of distributed Dykstra's algorithm for sets under an intersection propertyDec 10 2018Feb 21 2019We show the linear convergence of Dykstra's algorithm for sets intersecting in a manner slightly stronger than the usual constraint qualifications.

A Sentimental Education: Sentiment Analysis Using Subjectivity Summarization Based on Minimum CutsSep 29 2004Sentiment analysis seeks to identify the viewpoint(s) underlying a text span; an example application is classifying a movie review as "thumbs up" or "thumbs down". To determine this sentiment polarity, we propose a novel machine-learning method that applies ... More

Can Density-matrix renormalization group be Applied to two dimensional systems?Mar 17 1994In order to extend the density-matrix renormalization-group (DMRG) method to two-dimensional systems, we formulate two alternative methods to prepare the initial states. We find that the number of states that is needed for accurate energy calculations ... More

Characterizing generalized derivatives of set-valued maps: Extending the tangential and normal approachesJun 12 2011Nov 19 2012For a set-valued map, we characterize, in terms of its (unconvexified or convexified) graphical derivatives near the point of interest, positively homogeneous maps that are generalized derivatives in the sense of [20]. This result generalizes the Aubin ... More

Set intersection problems: Integrating projection and quadratic programming algorithmsJun 29 2013Feb 15 2015Abstract. The Set Intersection Problem (SIP) is the problem of finding a point in the intersection of convex sets. This problem is typically solved by the method of alternating projections. To accelerate the convergence, the idea of using Quadratic Programming ... More

Generalized differentiation with positively homogeneous maps: Applications in set-valued analysis and metric regularityJul 31 2009Dec 30 2010We propose a new concept of generalized differentiation of set-valued maps that captures the first order information. This concept encompasses the standard notions of Frechet differentiability, strict differentiability, calmness and Lipschitz continuity ... More

Linear convergence of a dual optimization formulation for distributed optimization on directed graphs with unreliable communicationsNov 28 2018This work builds on our recent work on a distributed optimization algorithm for graphs with directed unreliable communications. We show its linear convergence when we take either the proximal of each function or an affine minorant for when the function ... More

Iterated Feature Screening based on Distance Correlation for Ultrahigh-Dimensional Censored Data with Covariates Measurement ErrorJan 06 2019Feature screening is an important method to reduce the dimension and capture informative variables in ultrahigh-dimensional data analysis. Many methods have been developed for feature screening. These methods, however, are challenged by complex features ... More

Semiparametric Estimation for the Transformation Model with Length-Biased Data and Covariate Measurement ErrorDec 27 2018Analysis of survival data with biased samples caused by left-truncation or length-biased sampling has received extensive interest. Many inference methods have been developed for various survival models. These methods, however, break down when survival ... More

First order constrained optimization algorithms with feasibility updatesJun 27 2015We propose first order algorithms for convex optimization problems where the feasible set is described by a large number of convex inequalities that is to be explored by subgradient projections. The first algorithm is an adaptation of a subgradient algorithm, ... More

Ultrafast Generation of Pseudo-magnetic Field for Valley Excitons in WSe2 MonolayersJul 09 2014A new degree of freedom, the valley pseudospin, emerges in atomically thin two-dimensional transition metal dichalcogenides (MX2) and has attracted great scientific interest. The capability to manipulate the valley pseudospin, in analogy to the control ... More

Endoscopic classification of representations of quasi-split unitary groupsJun 05 2012Jun 22 2013In this paper we establish the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number ... More

Learning Criteria and Evaluation Metrics for Textual Transfer between Non-Parallel CorporaOct 28 2018We consider the problem of automatically generating textual paraphrases with modified attributes or stylistic properties, focusing on the setting without parallel data (Hu et al., 2017; Shen et al., 2017). This setting poses challenges for learning and ... More

Quantum interactions between a laser interferometer and gravitational wavesAug 28 2018LIGO's detection of gravitational waves marks a first step in measurable effects of general relativity on quantum matter. In its current operation, laser interferometer gravitational-wave detectors are already quantum limited at high frequencies, and ... More

Accelerating the alternating projection algorithm for the case of affine subspaces using supporting hyperplanesJun 16 2014Jul 16 2014The von Neumann-Halperin method of alternating projections converges strongly to the projection of a given point onto the intersection of finitely many closed affine subspaces. We propose acceleration schemes making use of two ideas: Firstly, each projection ... More

Finitely convergent algorithm for nonconvex inequality problemsMay 28 2014Jul 31 2014We extend Fukushima's result on the finite convergence of an algorithm for the global convex feasibility problem to the local nonconvex case.

Convergence rate of distributed Dykstra's algorithm with sets defined as level sets of convex functionsSep 25 2018We investigate the convergence rate of the distributed Dykstra's algorithm when some of the sets are defined as the level sets of convex functions. We carry out numerical experiments to compare with the theoretical results obtained.

Infinite Horizon Average Optimality of the N-network Queueing Model in the Halfin-Whitt RegimeFeb 10 2016Aug 28 2017We study the infinite horizon optimal control problem for N-network queueing systems, which consist of two customer classes and two server pools, under average (ergodic) criteria in the Halfin-Whitt regime. We consider three control objectives: 1) minimizing ... More

The supporting halfspace- quadratic programming strategy for the dual of the best approximation problemJan 06 2016We consider the best approximation problem (BAP) of projecting a point onto the intersection of a number of convex sets. It is known that Dykstra's algorithm is alternating minimization on the dual problem. We extend Dykstra's algorithm so that it can ... More

Overconvergent family of Siegel-Hilbert modular formsAug 06 2012Nov 03 2013We construct one parameter families of overconvergent Siegel-Hilbert modular forms. In particular, for any classical Siegel-Hilbert modular eigenform one can find a rigid analytic disc centered at this point, on which an infinite family of classical points ... More

Efficiency of electrical manipulation on two-dimensional topological insulatorsSep 21 2013We investigate the efficiency of electrical manipulation on two-dimensional topological insulators by considering a lateral potential superlattice on the system. The electronic states under various conditions are examined carefully. It is found that the ... More

Suppressing technical noises in weak measurement by entanglementApr 29 2015Aug 13 2015Postselected weak measurement has aroused broad interest for its distinctive ability to amplify small physical quantities. However, the low postselection efficiency to obtain a large weak value has been a big obstacle to its application in practice, since ... More

Quantum metrology for a general Hamiltonian parameterJul 23 2014May 29 2016Quantum metrology enhances the sensitivity of parameter estimation using the distinctive resources of quantum mechanics such as entanglement. It has been shown that the precision of estimating an overall multiplicative factor of a Hamiltonian can be increased ... More

Improving the precision of weak measurements by postselection measurementSep 09 2014Sep 16 2015Postselected weak measurement is a useful protocol for amplifying weak physical effects. However, there has recently been controversy over whether it gives any advantage in precision. While it is now clear that retaining failed postselections can yield ... More

Adaptive Optimal Control of Linear Periodic Systems: An Off-Policy Value Iteration ApproachJan 24 2019Although significant progresses have been achieved in the development of adaptive dynamic programming (ADP) algorithms for dynamical systems described by time-invariant differential equations in recent years, how to design ADP algorithms for time-varying ... More

On the correction equation of the Jacobi-Davidson methodOct 05 2015Nov 03 2015The Jacobi-Davidson method is one of the most popular approaches for iteratively computing a few eigenvalues and their associated eigenvectors of a large matrix. The key of this method is to expand the search subspace via solving the Jacobi-Davidson correction ... More

Trigger of the ubiquitous surface band bending in 3D topological insulatorsNov 14 2017The main scientific activity in the field of topological insulators (TIs) consists of determining their electronic structure by means of magneto-transport and electron spectroscopy with a view to devices based on topological transport. There is however ... More

Comparison of the Sachs-Wolfe Effect for Gaussian and Non-Gaussian FluctuationsAug 28 1992A consequence of non-Gaussian perturbations on the Sachs-Wolfe effect is studied. For a particular power spectrum, predicted Sachs-Wolfe effects are calculated for two cases: Gaussian (random phase) configuration, and a specific kind of non-Gaussian configuration. ... More

Point-like limit of the hyperelliptic Zhang-Kawazumi invariantDec 14 2015The behavior near the boundary in the Deligne-Mumford compactification of many functions on the moduli space of pointed Riemann surfaces can be conveniently expressed using the notion of "point-like limit" that we adopt from the string theory literature. ... More

Arakelov invariants of Riemann surfacesDec 18 2003Aug 25 2004We derive explicit formulas for the Arakelov-Green function and the Faltings delta-invariant of a Riemann surface. A numerical example illustrates how these formulas can be used to calculate Arakelov invariants of curves.

B, V, R, I, H and K Images of 86 Face-On Spiral GalaxiesNov 01 1996FITS images in the B, V, R, I, H and K passbands are presented of a sample of 86 face-on spiral galaxies. The galaxies were selected from the UGC to have a diameter of at least 2 arcmin and a minor over major axis ratio larger than 0.625. The selected ... More

Second variation of Zhang's lambda-invariant on the moduli space of curvesFeb 08 2010Nov 29 2011We compute the second variation of the \lambda-invariant, recently introduced by S. Zhang, on the complex moduli space M_g of curves of genus g>1, using work of N. Kawazumi. As a result we prove that (8g+4)\lambda is equal, up to a constant, to the \beta-invariant ... More

Quantization of the Closed Mini-Superspace Models as Bound StatesFeb 03 1993Wheeler-DeWitt equation is applied to $k > 0$ Friedmann Robertson Walker metric with various types of matter. It is shown that if the Universe ends in the matter dominated era (e.g., radiation or pressureless gas) with zero cosmological constant, then ... More

Point spread function tails and the measurements of diffuse stellar halo light around edge-on disc galaxiesJul 01 2008Measuring the integrated stellar halo light around galaxies is very challenging. The surface brightness of these haloes are expected to be many magnitudes below dark sky and the central brightness of the galaxy. Here I show that in some of the recent ... More

Gauss map on the theta divisor and Green's functionsMay 01 2007May 02 2012In an earlier paper we constructed a Cartier divisor on the theta divisor of a principally polarised abelian variety whose support is precisely the ramification locus of the Gauss map. In this note we discuss a Green's function associated to this locus. ... More

On the Arakelov theory of elliptic curvesDec 18 2003Sep 06 2004This note contains an elementary discussion of the Arakelov intersection theory of elliptic curves. The main new results are a projection formula for elliptic arithmetic surfaces and a formula for the "energy" of an isogeny between Riemann surfaces of ... More

On the Structural Origin of the Single-ion Magnetic Anisotropy in LuFeO3May 03 2016Electronic structures for the conduction bands of both hexagonal and orthorhombic LuFeO3 thin films have been measured using x-ray absorption spectroscopy at oxygen K (O K) edge. Dramatic differences in both the spectra shape and the linear dichroism ... More

Fast View Frustum Culling of Spatial Object by Analytical Bounding BinJul 17 2012It is a common sense to apply the VFC (view frustum culling) of spatial object to bounding cube of the object in 3D graphics. The accuracy of VFC can not be guaranteed even in cube rotated three-dimensionally. In this paper is proposed a method which ... More

Theta functions on the theta divisorNov 27 2006May 01 2007We show that the gradient and the hessian of the Riemann theta function in dimension n can be combined to give a theta function of order n+1 and modular weight (n+5)/2 defined on the theta divisor. It can be seen that the zero locus of this theta function ... More

Faltings delta-invariant and semistable degenerationNov 20 2015We determine the asymptotics of the Arakelov metric, Arakelov-Green's function, and Faltings delta-invariant, in a one-parameter family of complex curves with semistable degeneration. The leading terms of the asymptotics are controlled by Zhang's theory ... More

Final State Correlations at LEP 2: Bose-Einstein Correlations and the W MassSep 03 2003Recent experimental results on Bose-Einstein correlations are presented. Emphasis will be put on the measurement of between-W correlations in WW events at LEP 2.

Torus bundles and 2-forms on the universal family of Riemann surfacesSep 04 2013Jan 06 2014We revisit three results due to Morita expressing certain natural integral cohomology classes on the universal family of Riemann surfaces C_g, coming from the parallel symplectic form on the universal jacobian, in terms of the Miller-Morita-Mumford classes ... More